TSTP Solution File: SCT121+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT121+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:33:14 EDT 2023
% Result : Theorem 207.07s 26.43s
% Output : CNFRefutation 208.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT121+1 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:53:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.40 % Drodi V3.5.1
% 207.07/26.43 % Refutation found
% 207.07/26.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 207.07/26.43 % SZS output start CNFRefutation for theBenchmark
% 207.07/26.43 fof(f2,axiom,(
% 207.07/26.43 (! [V_x_2,T_a] : c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f3,axiom,(
% 207.07/26.43 (! [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) )) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f4,axiom,(
% 207.07/26.43 (! [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) ) ) ) )) )) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f5,axiom,(
% 207.07/26.43 (! [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) ) )) )) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f18,axiom,(
% 207.07/26.43 (! [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)) ) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f225,axiom,(
% 207.07/26.43 (! [V_a_2,T_a] : ~ c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f289,axiom,(
% 207.07/26.43 (! [V_A_2,T_a] :( (! [B_x] : ~ c_member(T_a,B_x,V_A_2))<=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f314,axiom,(
% 207.07/26.43 (! [V_B_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2) = V_B_2 )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f315,axiom,(
% 207.07/26.43 (! [V_A_2,T_a] : c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f523,hypothesis,(
% 207.07/26.43 (! [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)) ) ) )) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f524,hypothesis,(
% 207.07/26.43 (! [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)) ) )),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f525,hypothesis,(
% 207.07/26.43 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)) ),
% 207.07/26.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.43 fof(f526,hypothesis,(
% 207.07/26.43 ( (! [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)) ))=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))& c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(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)),v_F(v_P)) ) ) ),
% 207.07/26.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.44 fof(f527,conjecture,(
% 207.07/26.44 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,v_a,v_b),hAPP(v_P,v_i)) ),
% 207.07/26.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 207.07/26.44 fof(f528,negated_conjecture,(
% 207.07/26.44 ~(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,v_a,v_b),hAPP(v_P,v_i)) )),
% 207.07/26.44 inference(negated_conjecture,[status(cth)],[f527])).
% 207.07/26.44 fof(f532,plain,(
% 207.07/26.44 ![X0,X1]: (c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2])).
% 207.07/26.44 fof(f533,plain,(
% 207.07/26.44 ![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))))),
% 207.07/26.44 inference(NNF_transformation,[status(esa)],[f3])).
% 207.07/26.44 fof(f534,plain,(
% 207.07/26.44 (![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))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f533])).
% 207.07/26.44 fof(f535,plain,(
% 207.07/26.44 (![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)))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f534])).
% 207.07/26.44 fof(f536,plain,(
% 207.07/26.44 ![X0,X1,X2]: (~c_Relation_Oirrefl(X0,X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f535])).
% 207.07/26.44 fof(f537,plain,(
% 207.07/26.44 ![X0,X1]: (c_Relation_Oirrefl(X0,X1)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sk0_1(X0,X1),sk0_1(X0,X1)),X1))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f535])).
% 207.07/26.44 fof(f538,plain,(
% 207.07/26.44 ![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))))))))),
% 207.07/26.44 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 207.07/26.44 fof(f539,plain,(
% 207.07/26.44 ![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)))))))))),
% 207.07/26.44 inference(NNF_transformation,[status(esa)],[f538])).
% 207.07/26.44 fof(f540,plain,(
% 207.07/26.44 (![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)))))))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f539])).
% 207.07/26.44 fof(f541,plain,(
% 207.07/26.44 (![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)))))))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f540])).
% 207.07/26.44 fof(f542,plain,(
% 207.07/26.44 ![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))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f541])).
% 207.07/26.44 fof(f548,plain,(
% 207.07/26.44 ![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))))))),
% 207.07/26.44 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 207.07/26.44 fof(f549,plain,(
% 207.07/26.44 ![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)))))))),
% 207.07/26.44 inference(NNF_transformation,[status(esa)],[f548])).
% 207.07/26.44 fof(f550,plain,(
% 207.07/26.44 (![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)))))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f549])).
% 207.07/26.44 fof(f551,plain,(
% 207.07/26.44 (![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)))))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f550])).
% 207.07/26.44 fof(f552,plain,(
% 207.07/26.44 ![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))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f551])).
% 207.07/26.44 fof(f613,plain,(
% 207.07/26.44 ![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))))),
% 207.07/26.44 inference(NNF_transformation,[status(esa)],[f18])).
% 207.07/26.44 fof(f614,plain,(
% 207.07/26.44 (![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))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f613])).
% 207.07/26.44 fof(f615,plain,(
% 207.07/26.44 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f614])).
% 207.07/26.44 fof(f616,plain,(
% 207.07/26.44 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f614])).
% 207.07/26.44 fof(f1268,plain,(
% 207.07/26.44 ![X0,X1]: (~c_member(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f225])).
% 207.07/26.44 fof(f1454,plain,(
% 207.07/26.44 ![V_A_2,T_a]: (((?[B_x]: c_member(T_a,B_x,V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))&((![B_x]: ~c_member(T_a,B_x,V_A_2))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 207.07/26.44 inference(NNF_transformation,[status(esa)],[f289])).
% 207.07/26.44 fof(f1455,plain,(
% 207.07/26.44 (![V_A_2,T_a]: ((?[B_x]: c_member(T_a,B_x,V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))&(![V_A_2,T_a]: ((![B_x]: ~c_member(T_a,B_x,V_A_2))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f1454])).
% 207.07/26.44 fof(f1456,plain,(
% 207.07/26.44 (![V_A_2,T_a]: (c_member(T_a,sk0_72(T_a,V_A_2),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))&(![V_A_2,T_a]: ((![B_x]: ~c_member(T_a,B_x,V_A_2))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f1455])).
% 207.07/26.44 fof(f1457,plain,(
% 207.07/26.44 ![X0,X1]: (c_member(X0,sk0_72(X0,X1),X1)|X1=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f1456])).
% 207.07/26.44 fof(f1518,plain,(
% 207.07/26.44 ![X0,X1]: (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=X1)),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f314])).
% 207.07/26.44 fof(f1519,plain,(
% 207.07/26.44 ![X0,X1]: (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))=X1)),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f315])).
% 207.07/26.44 fof(f2077,plain,(
% 207.07/26.44 ![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))))))),
% 207.07/26.44 inference(pre_NNF_transformation,[status(esa)],[f523])).
% 207.07/26.44 fof(f2078,plain,(
% 207.07/26.44 ![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))))))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f2077])).
% 207.07/26.44 fof(f2079,plain,(
% 207.07/26.44 ![B_P]: (((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,sk0_84(B_P)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,sk0_85(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_86(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))))))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f2078])).
% 207.07/26.44 fof(f2080,plain,(
% 207.07/26.44 ![X0,X1,X2]: (~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)))|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)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2079])).
% 207.07/26.44 fof(f2081,plain,(
% 207.07/26.44 ((![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)))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f524])).
% 207.07/26.44 fof(f2082,plain,(
% 207.07/26.44 ![X0]: (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2081])).
% 207.07/26.44 fof(f2083,plain,(
% 207.07/26.44 ![X0]: (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2081])).
% 207.07/26.44 fof(f2084,plain,(
% 207.07/26.44 ![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)))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2081])).
% 207.07/26.44 fof(f2085,plain,(
% 207.07/26.44 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,v_a,v_b),v_F(v_P))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f525])).
% 207.07/26.44 fof(f2086,plain,(
% 207.07/26.44 (?[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))))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(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)),v_F(v_P)))),
% 207.07/26.44 inference(pre_NNF_transformation,[status(esa)],[f526])).
% 207.07/26.44 fof(f2087,plain,(
% 207.07/26.44 (((?[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))))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(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)),v_F(v_P)))),
% 207.07/26.44 inference(miniscoping,[status(esa)],[f2086])).
% 207.07/26.44 fof(f2088,plain,(
% 207.07/26.44 ((~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_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)))|((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(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)),v_F(v_P)))),
% 207.07/26.44 inference(skolemization,[status(esa)],[f2087])).
% 207.07/26.44 fof(f2089,plain,(
% 207.07/26.44 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_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))|c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2088])).
% 207.07/26.44 fof(f2090,plain,(
% 207.07/26.44 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_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))|c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f2088])).
% 207.07/26.44 fof(f2092,plain,(
% 207.07/26.44 ~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,v_a,v_b),hAPP(v_P,v_i))),
% 207.07/26.44 inference(cnf_transformation,[status(esa)],[f528])).
% 207.07/26.44 fof(f2110,plain,(
% 207.07/26.44 spl0_0 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2112,plain,(
% 207.07/26.44 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_87))|spl0_0),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2110])).
% 207.07/26.44 fof(f2113,plain,(
% 207.07/26.44 spl0_1 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_88))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2115,plain,(
% 207.07/26.44 ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_88))|spl0_1),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2113])).
% 207.07/26.44 fof(f2116,plain,(
% 207.07/26.44 spl0_2 <=> 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))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2118,plain,(
% 207.07/26.44 ~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))|spl0_2),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2116])).
% 207.07/26.44 fof(f2119,plain,(
% 207.07/26.44 spl0_3 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2122,plain,(
% 207.07/26.44 ~spl0_0|~spl0_1|~spl0_2|spl0_3),
% 207.07/26.44 inference(split_clause,[status(thm)],[f2089,f2110,f2113,f2116,f2119])).
% 207.07/26.44 fof(f2123,plain,(
% 207.07/26.44 spl0_4 <=> c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2124,plain,(
% 207.07/26.44 c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~spl0_4),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2123])).
% 207.07/26.44 fof(f2126,plain,(
% 207.07/26.44 ~spl0_0|~spl0_1|~spl0_2|spl0_4),
% 207.07/26.44 inference(split_clause,[status(thm)],[f2090,f2110,f2113,f2116,f2123])).
% 207.07/26.44 fof(f2213,plain,(
% 207.07/26.44 spl0_6 <=> ~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)),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2214,plain,(
% 207.07/26.44 ![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_6)),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2213])).
% 207.07/26.44 fof(f2216,plain,(
% 207.07/26.44 spl0_7 <=> v_b=v_a),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2217,plain,(
% 207.07/26.44 v_b=v_a|~spl0_7),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2216])).
% 207.07/26.44 fof(f2219,plain,(
% 207.07/26.44 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,v_b,v_a),hAPP(v_P,v_i))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2222,plain,(
% 207.07/26.44 ![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)))),
% 207.07/26.44 inference(resolution,[status(thm)],[f542,f2092])).
% 207.07/26.44 fof(f2223,plain,(
% 207.07/26.44 spl0_6|spl0_7|spl0_8),
% 207.07/26.44 inference(split_clause,[status(thm)],[f2222,f2213,f2216,f2219])).
% 207.07/26.44 fof(f2224,plain,(
% 207.07/26.44 $false|spl0_0),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f2112,f2082])).
% 207.07/26.44 fof(f2225,plain,(
% 207.07/26.44 spl0_0),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2224])).
% 207.07/26.44 fof(f2226,plain,(
% 207.07/26.44 $false|spl0_2),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f2118,f2084])).
% 207.07/26.44 fof(f2227,plain,(
% 207.07/26.44 spl0_2),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2226])).
% 207.07/26.44 fof(f2257,plain,(
% 207.07/26.44 $false|spl0_1),
% 207.07/26.44 inference(backward_subsumption_resolution,[status(thm)],[f2115,f2083])).
% 207.07/26.44 fof(f2258,plain,(
% 207.07/26.44 spl0_1),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2257])).
% 207.07/26.44 fof(f2360,plain,(
% 207.07/26.44 spl0_25 <=> 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,v_i))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2362,plain,(
% 207.07/26.44 ~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,v_i))|spl0_25),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2360])).
% 207.07/26.44 fof(f2365,plain,(
% 207.07/26.44 $false|spl0_25),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f2362,f2084])).
% 207.07/26.44 fof(f2366,plain,(
% 207.07/26.44 spl0_25),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2365])).
% 207.07/26.44 fof(f2375,plain,(
% 207.07/26.44 ![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_F(v_P))|~spl0_4)),
% 207.07/26.44 inference(resolution,[status(thm)],[f2124,f536])).
% 207.07/26.44 fof(f2382,plain,(
% 207.07/26.44 spl0_26 <=> ~c_member(tc_prod(tc_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_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,X1,X0),v_F(v_P))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2383,plain,(
% 207.07/26.44 ![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_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,X1,X0),v_F(v_P))|~spl0_26)),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2382])).
% 207.07/26.44 fof(f2385,plain,(
% 207.07/26.44 ![X0,X1]: (~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,X1),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,X1,X0),v_F(v_P))|~spl0_4)),
% 207.07/26.44 inference(resolution,[status(thm)],[f2375,f552])).
% 207.07/26.44 fof(f2386,plain,(
% 207.07/26.44 ~spl0_3|spl0_26|~spl0_4),
% 207.07/26.44 inference(split_clause,[status(thm)],[f2385,f2119,f2382,f2123])).
% 207.07/26.44 fof(f2390,plain,(
% 207.07/26.44 ~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,v_b,v_a),v_F(v_P))|~spl0_26),
% 207.07/26.44 inference(resolution,[status(thm)],[f2383,f2085])).
% 207.07/26.44 fof(f2442,plain,(
% 207.07/26.44 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,v_a,v_a),v_F(v_P))|~spl0_7),
% 207.07/26.44 inference(backward_demodulation,[status(thm)],[f2217,f2085])).
% 207.07/26.44 fof(f2443,plain,(
% 207.07/26.44 $false|~spl0_4|~spl0_7),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f2442,f2375])).
% 207.07/26.44 fof(f2444,plain,(
% 207.07/26.44 ~spl0_4|~spl0_7),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2443])).
% 207.07/26.44 fof(f2458,plain,(
% 207.07/26.44 spl0_36 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f2460,plain,(
% 207.07/26.44 ~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_36),
% 207.07/26.44 inference(component_clause,[status(thm)],[f2458])).
% 207.07/26.44 fof(f2463,plain,(
% 207.07/26.44 $false|spl0_36),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f2460,f532])).
% 207.07/26.44 fof(f2464,plain,(
% 207.07/26.44 spl0_36),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f2463])).
% 207.07/26.44 fof(f2471,plain,(
% 207.07/26.44 ~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,v_i))|~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_6),
% 207.07/26.44 inference(resolution,[status(thm)],[f2214,f532])).
% 207.07/26.44 fof(f2472,plain,(
% 207.07/26.44 ~spl0_25|~spl0_36|~spl0_6),
% 207.07/26.44 inference(split_clause,[status(thm)],[f2471,f2360,f2458,f2213])).
% 207.07/26.44 fof(f2485,plain,(
% 207.07/26.44 ![X0,X1,X2,X3]: (c_member(X0,X1,X2)|~c_member(X3,X1,X2))),
% 207.07/26.44 inference(resolution,[status(thm)],[f616,f615])).
% 207.07/26.44 fof(f2488,plain,(
% 207.07/26.44 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))|~spl0_26)),
% 207.07/26.44 inference(resolution,[status(thm)],[f2485,f2390])).
% 207.07/26.44 fof(f2531,plain,(
% 207.07/26.44 ![X0,X1,X2]: (~c_member(X0,X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))),
% 207.07/26.44 inference(resolution,[status(thm)],[f1268,f2485])).
% 207.07/26.44 fof(f2770,plain,(
% 207.07/26.44 ![X0,X1]: (c_Relation_Oirrefl(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))),
% 207.07/26.44 inference(resolution,[status(thm)],[f2531,f537])).
% 207.07/26.44 fof(f6614,plain,(
% 207.07/26.44 ![X0,X1]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
% 207.07/26.44 inference(resolution,[status(thm)],[f1457,f2531])).
% 207.07/26.44 fof(f6914,plain,(
% 207.07/26.44 ![X0,X1,X2]: (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=X2)),
% 207.07/26.44 inference(paramodulation,[status(thm)],[f6614,f1518])).
% 207.07/26.44 fof(f6916,plain,(
% 207.07/26.44 ![X0,X1,X2]: (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool),X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))=X1)),
% 207.07/26.44 inference(paramodulation,[status(thm)],[f6614,f1519])).
% 207.07/26.44 fof(f100276,plain,(
% 207.07/26.44 spl0_2092 <=> c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100278,plain,(
% 207.07/26.44 ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(v_P)))|spl0_2092),
% 207.07/26.44 inference(component_clause,[status(thm)],[f100276])).
% 207.07/26.44 fof(f100279,plain,(
% 207.07/26.44 spl0_2093 <=> 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_86(v_P)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100281,plain,(
% 207.07/26.44 ~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_86(v_P)))|spl0_2093),
% 207.07/26.44 inference(component_clause,[status(thm)],[f100279])).
% 207.07/26.44 fof(f100282,plain,(
% 207.07/26.44 spl0_2094 <=> X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_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,X0,X1),v_F(v_P))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100283,plain,(
% 207.07/26.44 ![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),hAPP(v_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,X0,X1),v_F(v_P))|~spl0_2094)),
% 207.07/26.44 inference(component_clause,[status(thm)],[f100282])).
% 207.07/26.44 fof(f100285,plain,(
% 207.07/26.44 ![X0,X1]: (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sk0_84(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_86(v_P)))|X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_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,X0,X1),v_F(v_P)))),
% 207.07/26.44 inference(resolution,[status(thm)],[f2080,f2083])).
% 207.07/26.44 fof(f100286,plain,(
% 207.07/26.44 ~spl0_2092|~spl0_2093|spl0_2094),
% 207.07/26.44 inference(split_clause,[status(thm)],[f100285,f100276,f100279,f100282])).
% 207.07/26.44 fof(f100292,plain,(
% 207.07/26.44 spl0_2096 <=> ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100293,plain,(
% 207.07/26.44 ![X0]: (~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))|~spl0_2096)),
% 207.07/26.44 inference(component_clause,[status(thm)],[f100292])).
% 207.07/26.44 fof(f100311,plain,(
% 207.07/26.44 $false|spl0_2093),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f100281,f2084])).
% 207.07/26.44 fof(f100312,plain,(
% 207.07/26.44 spl0_2093),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f100311])).
% 207.07/26.44 fof(f100313,plain,(
% 207.07/26.44 $false|spl0_2092),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f100278,f2082])).
% 207.07/26.44 fof(f100314,plain,(
% 207.07/26.44 spl0_2092),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f100313])).
% 207.07/26.44 fof(f100321,plain,(
% 207.07/26.44 $false|~spl0_2096),
% 207.07/26.44 inference(forward_subsumption_resolution,[status(thm)],[f100293,f2770])).
% 207.07/26.44 fof(f100322,plain,(
% 207.07/26.44 ~spl0_2096),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f100321])).
% 207.07/26.44 fof(f100433,plain,(
% 207.07/26.44 spl0_2107 <=> ~c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100434,plain,(
% 207.07/26.44 ![X0,X1]: (~c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~spl0_2107)),
% 207.07/26.44 inference(component_clause,[status(thm)],[f100433])).
% 207.07/26.44 fof(f100448,plain,(
% 207.07/26.44 ![X0]: (~X0=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~spl0_2107)),
% 207.07/26.44 inference(forward_demodulation,[status(thm)],[f6914,f100434])).
% 207.07/26.44 fof(f100449,plain,(
% 207.07/26.44 $false|~spl0_2107),
% 207.07/26.44 inference(destructive_equality_resolution,[status(esa)],[f100448])).
% 207.07/26.44 fof(f100450,plain,(
% 207.07/26.44 ~spl0_2107),
% 207.07/26.44 inference(contradiction_clause,[status(thm)],[f100449])).
% 207.07/26.44 fof(f100460,plain,(
% 207.07/26.44 spl0_2110 <=> ~c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))),
% 207.07/26.44 introduced(split_symbol_definition)).
% 207.07/26.44 fof(f100461,plain,(
% 207.07/26.44 ![X0,X1]: (~c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~spl0_2110)),
% 208.40/26.58 inference(component_clause,[status(thm)],[f100460])).
% 208.40/26.58 fof(f100475,plain,(
% 208.40/26.58 ![X0]: (~X0=c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))|~spl0_2110)),
% 208.40/26.58 inference(forward_demodulation,[status(thm)],[f6916,f100461])).
% 208.40/26.58 fof(f100476,plain,(
% 208.40/26.58 $false|~spl0_2110),
% 208.40/26.58 inference(destructive_equality_resolution,[status(esa)],[f100475])).
% 208.40/26.58 fof(f100477,plain,(
% 208.40/26.58 ~spl0_2110),
% 208.40/26.58 inference(contradiction_clause,[status(thm)],[f100476])).
% 208.40/26.58 fof(f100868,plain,(
% 208.40/26.58 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))|~spl0_2094|~spl0_26),
% 208.40/26.58 inference(resolution,[status(thm)],[f100283,f2488])).
% 208.40/26.58 fof(f100869,plain,(
% 208.40/26.58 spl0_7|~spl0_8|~spl0_2094|~spl0_26),
% 208.40/26.58 inference(split_clause,[status(thm)],[f100868,f2216,f2219,f100282,f2382])).
% 208.40/26.58 fof(f100879,plain,(
% 208.40/26.58 $false),
% 208.40/26.58 inference(sat_refutation,[status(thm)],[f2122,f2126,f2223,f2225,f2227,f2258,f2366,f2386,f2444,f2464,f2472,f100286,f100312,f100314,f100322,f100450,f100477,f100869])).
% 208.40/26.58 % SZS output end CNFRefutation for theBenchmark.p
% 210.02/27.86 % Elapsed time: 27.290922 seconds
% 210.02/27.86 % CPU time: 202.024930 seconds
% 210.02/27.86 % Memory used: 1.330 GB
%------------------------------------------------------------------------------