TSTP Solution File: SCT120+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT120+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:38:20 EDT 2024
% Result : Theorem 130.99s 16.87s
% Output : CNFRefutation 131.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SCT120+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n010.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 19:58:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.40 % Drodi V3.6.0
% 130.99/16.87 % Refutation found
% 130.99/16.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 130.99/16.87 % SZS output start CNFRefutation for theBenchmark
% 130.99/16.87 fof(f3,axiom,(
% 130.99/16.87 (! [V_r_2,T_a] :( c_Relation_Oirrefl(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) )) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f4,axiom,(
% 130.99/16.87 (! [V_r_2,V_A_2,T_a] :( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)<=> (! [B_x] :( c_member(T_a,B_x,V_A_2)=> (! [B_xa] :( c_member(T_a,B_xa,V_A_2)=> ( B_x != B_xa=> ( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)| c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2) ) ) ) )) )) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f5,axiom,(
% 130.99/16.87 (! [V_r_2,T_a] :( c_Relation_Otrans(T_a,V_r_2)<=> (! [B_x,B_y] :( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)=> (! [B_z] :( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)=> c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2) ) )) )) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f7,axiom,(
% 130.99/16.87 (! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f18,axiom,(
% 130.99/16.87 (! [V_A_2,V_x_2,T_a] :( c_member(T_a,V_x_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_x_2)) ) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f523,hypothesis,(
% 130.99/16.87 (! [B_x] :( (! [B_xa] :( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa))& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa))& c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_x,B_xa)) ))=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x))& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x))& c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(B_x)) ) ) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f524,hypothesis,(
% 130.99/16.87 (! [B_P] :( (! [B_x] :( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))& c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,B_x)) ))=> (! [B_a,B_b] :( B_a != B_b=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_P,v_i))=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),v_F(B_P)) ) ) )) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f525,hypothesis,(
% 130.99/16.87 (! [B_x] :( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))& c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x)) ) )),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f526,hypothesis,(
% 130.99/16.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)) ),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f527,conjecture,(
% 130.99/16.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)) ),
% 130.99/16.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 130.99/16.87 fof(f528,negated_conjecture,(
% 130.99/16.87 ~(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)) )),
% 130.99/16.88 inference(negated_conjecture,[status(cth)],[f527])).
% 130.99/16.88 fof(f533,plain,(
% 130.99/16.88 ![V_r_2,T_a]: ((~c_Relation_Oirrefl(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_Relation_Oirrefl(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))))),
% 130.99/16.88 inference(NNF_transformation,[status(esa)],[f3])).
% 130.99/16.88 fof(f534,plain,(
% 130.99/16.88 (![V_r_2,T_a]: (~c_Relation_Oirrefl(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_Relation_Oirrefl(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))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f533])).
% 130.99/16.88 fof(f535,plain,(
% 130.99/16.88 (![V_r_2,T_a]: (~c_Relation_Oirrefl(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_Relation_Oirrefl(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)))),
% 130.99/16.88 inference(skolemization,[status(esa)],[f534])).
% 130.99/16.88 fof(f536,plain,(
% 130.99/16.88 ![X0,X1,X2]: (~c_Relation_Oirrefl(X0,X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f535])).
% 130.99/16.88 fof(f538,plain,(
% 130.99/16.88 ![V_r_2,V_A_2,T_a]: (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)<=>(![B_x]: (~c_member(T_a,B_x,V_A_2)|(![B_xa]: (~c_member(T_a,B_xa,V_A_2)|(B_x=B_xa|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))))),
% 130.99/16.88 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 130.99/16.88 fof(f539,plain,(
% 130.99/16.88 ![V_r_2,V_A_2,T_a]: ((~c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(![B_x]: (~c_member(T_a,B_x,V_A_2)|(![B_xa]: (~c_member(T_a,B_xa,V_A_2)|(B_x=B_xa|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))))&(c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(?[B_x]: (c_member(T_a,B_x,V_A_2)&(?[B_xa]: (c_member(T_a,B_xa,V_A_2)&(~B_x=B_xa&(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2)))))))))),
% 130.99/16.88 inference(NNF_transformation,[status(esa)],[f538])).
% 130.99/16.88 fof(f540,plain,(
% 130.99/16.88 (![V_r_2,V_A_2,T_a]: (~c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(![B_x]: (~c_member(T_a,B_x,V_A_2)|(![B_xa]: (~c_member(T_a,B_xa,V_A_2)|(B_x=B_xa|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2)))))))))&(![V_r_2,V_A_2,T_a]: (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(?[B_x]: (c_member(T_a,B_x,V_A_2)&(?[B_xa]: (c_member(T_a,B_xa,V_A_2)&(~B_x=B_xa&(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2)))))))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f539])).
% 130.99/16.88 fof(f541,plain,(
% 130.99/16.88 (![V_r_2,V_A_2,T_a]: (~c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(![B_x]: (~c_member(T_a,B_x,V_A_2)|(![B_xa]: (~c_member(T_a,B_xa,V_A_2)|(B_x=B_xa|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2)))))))))&(![V_r_2,V_A_2,T_a]: (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|(c_member(T_a,sk0_2(T_a,V_A_2,V_r_2),V_A_2)&(c_member(T_a,sk0_3(T_a,V_A_2,V_r_2),V_A_2)&(~sk0_2(T_a,V_A_2,V_r_2)=sk0_3(T_a,V_A_2,V_r_2)&(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_2(T_a,V_A_2,V_r_2),sk0_3(T_a,V_A_2,V_r_2)),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_3(T_a,V_A_2,V_r_2),sk0_2(T_a,V_A_2,V_r_2)),V_r_2)))))))),
% 130.99/16.88 inference(skolemization,[status(esa)],[f540])).
% 130.99/16.88 fof(f542,plain,(
% 130.99/16.88 ![X0,X1,X2,X3,X4]: (~c_Relation_Ototal__on(X0,X1,X2)|~c_member(X0,X3,X1)|~c_member(X0,X4,X1)|X3=X4|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X2)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X4,X3),X2))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f541])).
% 130.99/16.88 fof(f548,plain,(
% 130.99/16.88 ![V_r_2,T_a]: (c_Relation_Otrans(T_a,V_r_2)<=>(![B_x,B_y]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)|(![B_z]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2))))))),
% 130.99/16.88 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 130.99/16.88 fof(f549,plain,(
% 130.99/16.88 ![V_r_2,T_a]: ((~c_Relation_Otrans(T_a,V_r_2)|(![B_x,B_y]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)|(![B_z]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2))))))&(c_Relation_Otrans(T_a,V_r_2)|(?[B_x,B_y]: (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)&(?[B_z]: (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))))),
% 130.99/16.88 inference(NNF_transformation,[status(esa)],[f548])).
% 130.99/16.88 fof(f550,plain,(
% 130.99/16.88 (![V_r_2,T_a]: (~c_Relation_Otrans(T_a,V_r_2)|(![B_x,B_y]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)|(![B_z]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))))&(![V_r_2,T_a]: (c_Relation_Otrans(T_a,V_r_2)|(?[B_x,B_y]: (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)&(?[B_z]: (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f549])).
% 130.99/16.88 fof(f551,plain,(
% 130.99/16.88 (![V_r_2,T_a]: (~c_Relation_Otrans(T_a,V_r_2)|(![B_x,B_y]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)|(![B_z]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))))&(![V_r_2,T_a]: (c_Relation_Otrans(T_a,V_r_2)|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_4(T_a,V_r_2),sk0_5(T_a,V_r_2)),V_r_2)&(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_5(T_a,V_r_2),sk0_6(T_a,V_r_2)),V_r_2)&~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_4(T_a,V_r_2),sk0_6(T_a,V_r_2)),V_r_2)))))),
% 130.99/16.88 inference(skolemization,[status(esa)],[f550])).
% 130.99/16.88 fof(f552,plain,(
% 130.99/16.88 ![X0,X1,X2,X3,X4]: (~c_Relation_Otrans(X0,X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X3),X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X3,X4),X1)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X4),X1))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f551])).
% 130.99/16.88 fof(f559,plain,(
% 130.99/16.88 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f7])).
% 130.99/16.88 fof(f613,plain,(
% 130.99/16.88 ![V_A_2,V_x_2,T_a]: ((~c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)))&(c_member(T_a,V_x_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 130.99/16.88 inference(NNF_transformation,[status(esa)],[f18])).
% 130.99/16.88 fof(f614,plain,(
% 130.99/16.88 (![V_A_2,V_x_2]: ((![T_a]: ~c_member(T_a,V_x_2,V_A_2))|hBOOL(hAPP(V_A_2,V_x_2))))&(![V_A_2,V_x_2]: ((![T_a]: c_member(T_a,V_x_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f613])).
% 130.99/16.88 fof(f615,plain,(
% 130.99/16.88 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f614])).
% 130.99/16.88 fof(f616,plain,(
% 130.99/16.88 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f614])).
% 130.99/16.88 fof(f2077,plain,(
% 130.99/16.88 ![B_x]: ((?[B_xa]: ((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_x,B_xa))))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(B_x))))),
% 130.99/16.88 inference(pre_NNF_transformation,[status(esa)],[f523])).
% 130.99/16.88 fof(f2078,plain,(
% 130.99/16.88 ![B_x]: ((((?[B_xa]: ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa)))|(?[B_xa]: ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,B_xa))))|(?[B_xa]: ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_x,B_xa))))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(B_x))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f2077])).
% 130.99/16.88 fof(f2079,plain,(
% 130.99/16.88 ![B_x]: (((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,sk0_84(B_x)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_x,sk0_85(B_x))))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_x,sk0_86(B_x))))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(B_x)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(B_x))))),
% 130.99/16.88 inference(skolemization,[status(esa)],[f2078])).
% 130.99/16.88 fof(f2080,plain,(
% 130.99/16.88 ![X0]: (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_84(X0)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_85(X0)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sk0_86(X0)))|c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2079])).
% 130.99/16.88 fof(f2081,plain,(
% 130.99/16.88 ![X0]: (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_84(X0)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_85(X0)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sk0_86(X0)))|c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2079])).
% 130.99/16.88 fof(f2083,plain,(
% 130.99/16.88 ![B_P]: ((?[B_x]: ((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,B_x))))|(![B_a,B_b]: (B_a=B_b|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_P,v_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),v_F(B_P))))))),
% 130.99/16.88 inference(pre_NNF_transformation,[status(esa)],[f524])).
% 130.99/16.88 fof(f2084,plain,(
% 130.99/16.88 ![B_P]: ((((?[B_x]: ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x)))|(?[B_x]: ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))))|(?[B_x]: ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,B_x))))|(![B_a,B_b]: (B_a=B_b|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_P,v_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),v_F(B_P))))))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f2083])).
% 130.99/16.88 fof(f2085,plain,(
% 130.99/16.88 ![B_P]: (((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,sk0_87(B_P)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,sk0_88(B_P))))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,sk0_89(B_P))))|(![B_a,B_b]: (B_a=B_b|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_P,v_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),v_F(B_P))))))),
% 130.99/16.88 inference(skolemization,[status(esa)],[f2084])).
% 130.99/16.88 fof(f2086,plain,(
% 130.99/16.88 ![X0,X1,X2]: (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_87(X0)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sk0_88(X0)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sk0_89(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,X2),hAPP(X0,v_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2085])).
% 130.99/16.88 fof(f2087,plain,(
% 130.99/16.88 ((![B_x]: c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)))&(![B_x]: c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))))&(![B_x]: c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x)))),
% 130.99/16.88 inference(miniscoping,[status(esa)],[f525])).
% 130.99/16.88 fof(f2088,plain,(
% 130.99/16.88 ![X0]: (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2087])).
% 130.99/16.88 fof(f2089,plain,(
% 130.99/16.88 ![X0]: (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2087])).
% 130.99/16.88 fof(f2090,plain,(
% 130.99/16.88 ![X0]: (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f2087])).
% 130.99/16.88 fof(f2091,plain,(
% 130.99/16.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f526])).
% 130.99/16.88 fof(f2092,plain,(
% 130.99/16.88 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))),
% 130.99/16.88 inference(cnf_transformation,[status(esa)],[f528])).
% 130.99/16.88 fof(f2192,plain,(
% 130.99/16.88 hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b)))),
% 130.99/16.88 inference(resolution,[status(thm)],[f615,f2091])).
% 130.99/16.88 fof(f2209,plain,(
% 130.99/16.88 spl0_0 <=> ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2210,plain,(
% 130.99/16.88 ![X0]: (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)|~spl0_0)),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2209])).
% 130.99/16.88 fof(f2212,plain,(
% 130.99/16.88 spl0_1 <=> v_b=v_a),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2213,plain,(
% 130.99/16.88 v_b=v_a|~spl0_1),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2212])).
% 130.99/16.88 fof(f2215,plain,(
% 130.99/16.88 spl0_2 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2216,plain,(
% 130.99/16.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i))|~spl0_2),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2215])).
% 130.99/16.88 fof(f2218,plain,(
% 130.99/16.88 ![X0]: (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,hAPP(v_P,v_i))|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)|v_b=v_a|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i)))),
% 130.99/16.88 inference(resolution,[status(thm)],[f542,f2092])).
% 130.99/16.88 fof(f2219,plain,(
% 130.99/16.88 spl0_0|spl0_1|spl0_2),
% 130.99/16.88 inference(split_clause,[status(thm)],[f2218,f2209,f2212,f2215])).
% 130.99/16.88 fof(f2224,plain,(
% 130.99/16.88 hBOOL(hAPP(hAPP(v_P,v_i),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a)))|~spl0_2),
% 130.99/16.88 inference(resolution,[status(thm)],[f2216,f615])).
% 130.99/16.88 fof(f2272,plain,(
% 130.99/16.88 spl0_7 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2275,plain,(
% 130.99/16.88 spl0_8 <=> ~c_member(tc_prod(tc_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_a),v_F(v_P))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_b),v_F(v_P))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2276,plain,(
% 130.99/16.88 ![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_a),v_F(v_P))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_b),v_F(v_P))|~spl0_8)),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2275])).
% 130.99/16.88 fof(f2278,plain,(
% 130.99/16.88 ![X0]: (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_a),v_F(v_P))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_b),v_F(v_P)))),
% 130.99/16.88 inference(resolution,[status(thm)],[f552,f2091])).
% 130.99/16.88 fof(f2279,plain,(
% 130.99/16.88 ~spl0_7|spl0_8),
% 130.99/16.88 inference(split_clause,[status(thm)],[f2278,f2272,f2275])).
% 130.99/16.88 fof(f2292,plain,(
% 130.99/16.88 hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a)))|~spl0_1),
% 130.99/16.88 inference(backward_demodulation,[status(thm)],[f2213,f2192])).
% 130.99/16.88 fof(f2341,plain,(
% 130.99/16.88 ![X0,X1,X2]: (c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))))),
% 130.99/16.88 inference(resolution,[status(thm)],[f559,f616])).
% 130.99/16.88 fof(f2426,plain,(
% 130.99/16.88 spl0_11 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2428,plain,(
% 130.99/16.88 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|spl0_11),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2426])).
% 130.99/16.88 fof(f2429,plain,(
% 130.99/16.88 spl0_12 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f2431,plain,(
% 130.99/16.88 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|spl0_12),
% 130.99/16.88 inference(component_clause,[status(thm)],[f2429])).
% 130.99/16.88 fof(f2432,plain,(
% 130.99/16.88 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~spl0_0),
% 130.99/16.88 inference(resolution,[status(thm)],[f2210,f2090])).
% 130.99/16.88 fof(f2433,plain,(
% 130.99/16.88 ~spl0_11|~spl0_12|~spl0_0),
% 130.99/16.88 inference(split_clause,[status(thm)],[f2432,f2426,f2429,f2209])).
% 130.99/16.88 fof(f2442,plain,(
% 130.99/16.88 $false|spl0_12),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f2431,f2341])).
% 130.99/16.88 fof(f2443,plain,(
% 130.99/16.88 spl0_12),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f2442])).
% 130.99/16.88 fof(f2444,plain,(
% 130.99/16.88 $false|spl0_11),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f2428,f2341])).
% 130.99/16.88 fof(f2445,plain,(
% 130.99/16.88 spl0_11),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f2444])).
% 130.99/16.88 fof(f2469,plain,(
% 130.99/16.88 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a),v_F(v_P))|~spl0_1)),
% 130.99/16.88 inference(resolution,[status(thm)],[f2292,f616])).
% 130.99/16.88 fof(f36477,plain,(
% 130.99/16.88 spl0_625 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f36478,plain,(
% 130.99/16.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))|~spl0_625),
% 130.99/16.88 inference(component_clause,[status(thm)],[f36477])).
% 130.99/16.88 fof(f36479,plain,(
% 130.99/16.88 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))|spl0_625),
% 130.99/16.88 inference(component_clause,[status(thm)],[f36477])).
% 130.99/16.88 fof(f39031,plain,(
% 130.99/16.88 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i))|~spl0_2)),
% 130.99/16.88 inference(resolution,[status(thm)],[f616,f2224])).
% 130.99/16.88 fof(f42437,plain,(
% 130.99/16.88 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a),v_F(v_P))|~spl0_1|spl0_625),
% 130.99/16.88 inference(backward_demodulation,[status(thm)],[f2213,f36479])).
% 130.99/16.88 fof(f42480,plain,(
% 130.99/16.88 $false|~spl0_1|spl0_625),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f42437,f2469])).
% 130.99/16.88 fof(f42481,plain,(
% 130.99/16.88 ~spl0_1|spl0_625),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f42480])).
% 130.99/16.88 fof(f63260,plain,(
% 130.99/16.88 spl0_1533 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f63262,plain,(
% 130.99/16.88 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))|spl0_1533),
% 130.99/16.88 inference(component_clause,[status(thm)],[f63260])).
% 130.99/16.88 fof(f63263,plain,(
% 130.99/16.88 spl0_1534 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_85(v_P)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f63265,plain,(
% 130.99/16.88 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_85(v_P)))|spl0_1534),
% 130.99/16.88 inference(component_clause,[status(thm)],[f63263])).
% 130.99/16.88 fof(f63266,plain,(
% 130.99/16.88 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_85(v_P)))|c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 130.99/16.88 inference(resolution,[status(thm)],[f2080,f2090])).
% 130.99/16.88 fof(f63267,plain,(
% 130.99/16.88 ~spl0_1533|~spl0_1534|spl0_7),
% 130.99/16.88 inference(split_clause,[status(thm)],[f63266,f63260,f63263,f2272])).
% 130.99/16.88 fof(f63286,plain,(
% 130.99/16.88 $false|spl0_1534),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f63265,f2089])).
% 130.99/16.88 fof(f63287,plain,(
% 130.99/16.88 spl0_1534),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f63286])).
% 130.99/16.88 fof(f63288,plain,(
% 130.99/16.88 $false|spl0_1533),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f63262,f2088])).
% 130.99/16.88 fof(f63289,plain,(
% 130.99/16.88 spl0_1533),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f63288])).
% 130.99/16.88 fof(f63296,plain,(
% 130.99/16.88 spl0_1539 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f63297,plain,(
% 130.99/16.88 c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~spl0_1539),
% 130.99/16.88 inference(component_clause,[status(thm)],[f63296])).
% 130.99/16.88 fof(f63299,plain,(
% 130.99/16.88 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_85(v_P)))|c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 130.99/16.88 inference(resolution,[status(thm)],[f2081,f2090])).
% 130.99/16.88 fof(f63300,plain,(
% 130.99/16.88 ~spl0_1533|~spl0_1534|spl0_1539),
% 130.99/16.88 inference(split_clause,[status(thm)],[f63299,f63260,f63263,f63296])).
% 130.99/16.88 fof(f65199,plain,(
% 130.99/16.88 spl0_1623 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87(v_P)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f65201,plain,(
% 130.99/16.88 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87(v_P)))|spl0_1623),
% 130.99/16.88 inference(component_clause,[status(thm)],[f65199])).
% 130.99/16.88 fof(f65202,plain,(
% 130.99/16.88 spl0_1624 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_88(v_P)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f65204,plain,(
% 130.99/16.88 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_88(v_P)))|spl0_1624),
% 130.99/16.88 inference(component_clause,[status(thm)],[f65202])).
% 130.99/16.88 fof(f65205,plain,(
% 130.99/16.88 spl0_1625 <=> c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sk0_89(v_P)))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f65207,plain,(
% 130.99/16.88 ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sk0_89(v_P)))|spl0_1625),
% 130.99/16.88 inference(component_clause,[status(thm)],[f65205])).
% 130.99/16.88 fof(f65234,plain,(
% 130.99/16.88 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87(v_P)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_88(v_P)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,sk0_89(v_P)))|v_b=v_a|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))|~spl0_2),
% 130.99/16.88 inference(resolution,[status(thm)],[f2086,f39031])).
% 130.99/16.88 fof(f65235,plain,(
% 130.99/16.88 ~spl0_1623|~spl0_1624|~spl0_1625|spl0_1|spl0_625|~spl0_2),
% 130.99/16.88 inference(split_clause,[status(thm)],[f65234,f65199,f65202,f65205,f2212,f36477,f2215])).
% 130.99/16.88 fof(f65245,plain,(
% 130.99/16.88 $false|spl0_1625),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f65207,f2090])).
% 130.99/16.88 fof(f65246,plain,(
% 130.99/16.88 spl0_1625),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f65245])).
% 130.99/16.88 fof(f65247,plain,(
% 130.99/16.88 $false|spl0_1624),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f65204,f2089])).
% 130.99/16.88 fof(f65248,plain,(
% 130.99/16.88 spl0_1624),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f65247])).
% 130.99/16.88 fof(f65249,plain,(
% 130.99/16.88 $false|spl0_1623),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f65201,f2088])).
% 130.99/16.88 fof(f65250,plain,(
% 130.99/16.88 spl0_1623),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f65249])).
% 130.99/16.88 fof(f65808,plain,(
% 130.99/16.88 spl0_1652 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_b),v_F(v_P))),
% 130.99/16.88 introduced(split_symbol_definition)).
% 130.99/16.88 fof(f65809,plain,(
% 130.99/16.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_b),v_F(v_P))|~spl0_1652),
% 130.99/16.88 inference(component_clause,[status(thm)],[f65808])).
% 130.99/16.88 fof(f65977,plain,(
% 130.99/16.88 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~spl0_1652),
% 130.99/16.88 inference(resolution,[status(thm)],[f65809,f536])).
% 130.99/16.88 fof(f65978,plain,(
% 130.99/16.88 $false|~spl0_1539|~spl0_1652),
% 130.99/16.88 inference(forward_subsumption_resolution,[status(thm)],[f65977,f63297])).
% 130.99/16.88 fof(f65979,plain,(
% 130.99/16.88 ~spl0_1539|~spl0_1652),
% 130.99/16.88 inference(contradiction_clause,[status(thm)],[f65978])).
% 130.99/16.88 fof(f68239,plain,(
% 130.99/16.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_b),v_F(v_P))|~spl0_625|~spl0_8),
% 130.99/16.88 inference(resolution,[status(thm)],[f36478,f2276])).
% 131.99/16.99 fof(f68240,plain,(
% 131.99/16.99 spl0_1652|~spl0_625|~spl0_8),
% 131.99/16.99 inference(split_clause,[status(thm)],[f68239,f65808,f36477,f2275])).
% 131.99/16.99 fof(f68243,plain,(
% 131.99/16.99 $false),
% 131.99/16.99 inference(sat_refutation,[status(thm)],[f2219,f2279,f2433,f2443,f2445,f42481,f63267,f63287,f63289,f63300,f65235,f65246,f65248,f65250,f65979,f68240])).
% 131.99/16.99 % SZS output end CNFRefutation for theBenchmark.p
% 131.99/17.01 % Elapsed time: 16.644471 seconds
% 131.99/17.01 % CPU time: 131.777362 seconds
% 131.99/17.01 % Total memory used: 827.624 MB
% 131.99/17.01 % Net memory used: 805.652 MB
%------------------------------------------------------------------------------