TSTP Solution File: SCT074-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT074-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:33:10 EDT 2023
% Result : Unsatisfiable 96.95s 12.69s
% Output : CNFRefutation 98.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT074-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:33:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.40 % Drodi V3.5.1
% 96.95/12.69 % Refutation found
% 96.95/12.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 96.95/12.69 % SZS output start CNFRefutation for theBenchmark
% 96.95/12.69 fof(f6,axiom,(
% 96.95/12.69 (![V_a,V_A,T_a]: (c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f41,axiom,(
% 96.95/12.69 (![V_r,V_A,T_a]: (( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f57,axiom,(
% 96.95/12.69 (![V_r,V_C,T_a,T_b,V_B,V_A]: (( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f97,axiom,(
% 96.95/12.69 (![V_B,V_a,T_a]: (c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f142,axiom,(
% 96.95/12.69 (![V_A,V_B,T_a]: (( V_A = V_B| ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f169,axiom,(
% 96.95/12.69 (![V_a,V_B,T_a,V_C]: (( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| ~ c_in(V_a,V_C,T_a) ) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f171,axiom,(
% 96.95/12.69 (![V_f,V_a,V_B,T_b,T_a]: (c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f199,axiom,(
% 96.95/12.69 (![T_a]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ))),
% 96.95/12.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.69 fof(f200,axiom,(
% 96.95/12.69 (![V_x,V_B,T_a,V_A]: (( c_in(V_x,V_B,T_a)| ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f240,axiom,(
% 96.95/12.70 (![V_A,V_B,T_a]: (c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f348,axiom,(
% 96.95/12.70 (![V_r,V_A,T_a]: (( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f372,axiom,(
% 96.95/12.70 (![V_R,T_a]: (( c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))| c_Wellfounded_Owf(V_R,T_a) ) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f376,axiom,(
% 96.95/12.70 (![T_a]: (c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Relation_OId(T_a) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f393,axiom,(
% 96.95/12.70 (![V_x,V_y,V_L]: (( ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| V_x = V_y| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f511,axiom,(
% 96.95/12.70 (![V_r,T_a]: (( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r| ~ c_Relation_Otrans(V_r,T_a) ) ))),
% 96.95/12.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 96.95/12.70 fof(f521,axiom,(
% 96.95/12.70 (![T_a,V_R,T_b]: (c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f522,axiom,(
% 97.71/12.71 (![V_R,T_b,T_a]: (c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f531,axiom,(
% 97.71/12.71 (![T_a,V_A]: (c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f548,axiom,(
% 97.71/12.71 (![T_a]: (c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f555,axiom,(
% 97.71/12.71 (![V_r,T_a]: (( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r| c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f557,axiom,(
% 97.71/12.71 (![V_r,T_a,T_b]: (c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f562,axiom,(
% 97.71/12.71 (![T_a]: (c_Relation_Otrans(c_Relation_OId(T_a),T_a) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f568,axiom,(
% 97.71/12.71 (![V_A,V_r,T_a]: (( c_Relation_Orefl__on(V_A,V_r,T_a)| ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f578,axiom,(
% 97.71/12.71 (![V_r,T_a]: (c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f588,axiom,(
% 97.71/12.71 (![V_b,V_a,V_L]: (( ~ c_in(c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f639,axiom,(
% 97.71/12.71 (![V_a,T_a,V_r]: (( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_Wellfounded_Owf(V_r,T_a) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f647,axiom,(
% 97.71/12.71 (![V_x,T_a]: (c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f685,axiom,(
% 97.71/12.71 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f686,axiom,(
% 97.71/12.71 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f687,axiom,(
% 97.71/12.71 c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f688,axiom,(
% 97.71/12.71 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f689,negated_conjecture,(
% 97.71/12.71 c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 97.71/12.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 97.71/12.71 fof(f716,plain,(
% 97.71/12.71 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 97.71/12.71 inference(cnf_transformation,[status(esa)],[f6])).
% 97.71/12.71 fof(f765,plain,(
% 97.71/12.71 ![X0,X1,X2]: (c_lessequals(X0,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Orefl__on(X1,X0,X2))),
% 97.71/12.71 inference(cnf_transformation,[status(esa)],[f41])).
% 97.71/12.71 fof(f786,plain,(
% 97.71/12.71 ![V_r,T_a,T_b,V_B]: ((![V_C]: c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool)))|(![V_A]: ~c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f57])).
% 97.71/12.72 fof(f787,plain,(
% 97.71/12.72 ![X0,X1,X2,X3,X4,X5]: (c_lessequals(c_Relation_OImage(X0,X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X0,c_Product__Type_OSigma(X5,c_COMBK(X4,tc_fun(X3,tc_bool),X2),X2,X3),tc_fun(tc_prod(X2,X3),tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f786])).
% 97.71/12.72 fof(f848,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f97])).
% 97.71/12.72 fof(f916,plain,(
% 97.71/12.72 ![X0,X1,X2]: (X0=X1|~c_lessequals(X1,X0,tc_fun(X2,tc_bool))|~c_lessequals(X0,X1,tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f142])).
% 97.71/12.72 fof(f949,plain,(
% 97.71/12.72 ![V_a,T_a,V_C]: ((![V_B]: c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a))|~c_in(V_a,V_C,T_a))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f169])).
% 97.71/12.72 fof(f950,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))=c_Set_Oinsert(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)|~c_in(X0,X3,X2))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f949])).
% 97.71/12.72 fof(f953,plain,(
% 97.71/12.72 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4)=c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f171])).
% 97.71/12.72 fof(f995,plain,(
% 97.71/12.72 ![X0]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool)),X0))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f199])).
% 97.71/12.72 fof(f996,plain,(
% 97.71/12.72 ![V_x,V_B,T_a]: (c_in(V_x,V_B,T_a)|(![V_A]: ~c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f200])).
% 97.71/12.72 fof(f997,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (c_in(X0,X1,X2)|~c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f996])).
% 97.71/12.72 fof(f1059,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_Lattices_Olower__semilattice__class_Oinf(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f240])).
% 97.71/12.72 fof(f1231,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_lessequals(X0,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_Equiv__Relations_Oequiv(X1,X0,X2))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f348])).
% 97.71/12.72 fof(f1272,plain,(
% 97.71/12.72 ![X0,X1]: (~c_Relation_Orel__comp(X0,X0,X1,X1,X1)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool))|c_Wellfounded_Owf(X0,X1))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f372])).
% 97.71/12.72 fof(f1276,plain,(
% 97.71/12.72 ![X0]: (c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool)),X0)=c_Relation_OId(X0))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f376])).
% 97.71/12.72 fof(f1296,plain,(
% 97.71/12.72 ![V_L]: ((![V_x,V_y]: ((~c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|V_x=V_y))|~c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f393])).
% 97.71/12.72 fof(f1297,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1|~c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f1296])).
% 97.71/12.72 fof(f1471,plain,(
% 97.71/12.72 ![X0,X1]: (c_Transitive__Closure_Otrancl(X0,X1)=X0|~c_Relation_Otrans(X0,X1))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f511])).
% 97.71/12.72 fof(f1483,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_Relation_Orel__comp(c_Relation_OId(X0),X1,X0,X0,X2)=X1)),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f521])).
% 97.71/12.72 fof(f1484,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_Relation_Orel__comp(X0,c_Relation_OId(X1),X2,X1,X1)=X0)),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f522])).
% 97.71/12.72 fof(f1494,plain,(
% 97.71/12.72 ![X0,X1]: (c_Relation_OImage(c_Relation_OId(X0),X1,X0,X0)=X1)),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f531])).
% 97.71/12.72 fof(f1513,plain,(
% 97.71/12.72 ![X0]: (c_Relation_Oconverse(c_Relation_OId(X0),X0,X0)=c_Relation_OId(X0))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f548])).
% 97.71/12.72 fof(f1521,plain,(
% 97.71/12.72 ![X0,X1]: (~c_Relation_Orel__comp(c_Relation_Oconverse(X0,X1,X1),X0,X1,X1,X1)=X0|c_Equiv__Relations_Oequiv(c_Relation_ODomain(X0,X1,X1),X0,X1))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f555])).
% 97.71/12.72 fof(f1523,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_Relation_ORange(c_Relation_Oconverse(X0,X1,X2),X2,X1)=c_Relation_ODomain(X0,X1,X2))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f557])).
% 97.71/12.72 fof(f1530,plain,(
% 97.71/12.72 ![X0]: (c_Relation_Otrans(c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f562])).
% 97.71/12.72 fof(f1538,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_Relation_Orefl__on(X0,X1,X2)|~c_Equiv__Relations_Oequiv(X0,X1,X2))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f568])).
% 97.71/12.72 fof(f1553,plain,(
% 97.71/12.72 ![X0,X1]: (c_Transitive__Closure_Otrancl(X0,X1)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X0,X1),X0,X1,X1,X1))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f578])).
% 97.71/12.72 fof(f1566,plain,(
% 97.71/12.72 ![V_L]: ((![V_b,V_a]: (~c_in(c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|~c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f588])).
% 97.71/12.72 fof(f1567,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f1566])).
% 97.71/12.72 fof(f1650,plain,(
% 97.71/12.72 ![T_a,V_r]: ((![V_a]: ~c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_Wellfounded_Owf(V_r,T_a))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f639])).
% 97.71/12.72 fof(f1651,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Wellfounded_Owf(X2,X1))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f1650])).
% 97.71/12.72 fof(f1666,plain,(
% 97.71/12.72 ![X0,X1]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f647])).
% 97.71/12.72 fof(f1732,plain,(
% 97.71/12.72 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f685])).
% 97.71/12.72 fof(f1733,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f1732])).
% 97.71/12.72 fof(f1734,plain,(
% 97.71/12.72 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 97.71/12.72 inference(miniscoping,[status(esa)],[f686])).
% 97.71/12.72 fof(f1735,plain,(
% 97.71/12.72 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f1734])).
% 97.71/12.72 fof(f1736,plain,(
% 97.71/12.72 c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f687])).
% 97.71/12.72 fof(f1737,plain,(
% 97.71/12.72 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f688])).
% 97.71/12.72 fof(f1738,plain,(
% 97.71/12.72 c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 97.71/12.72 inference(cnf_transformation,[status(esa)],[f689])).
% 97.71/12.72 fof(f2104,plain,(
% 97.71/12.72 ![X0]: (c_Relation_ORange(c_Relation_OId(X0),X0,X0)=c_Relation_ODomain(c_Relation_OId(X0),X0,X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1513,f1523])).
% 97.71/12.72 fof(f2111,plain,(
% 97.71/12.72 ![X0]: (c_Transitive__Closure_Otrancl(c_Relation_OId(X0),X0)=c_Transitive__Closure_Ortrancl(c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1484,f1553])).
% 97.71/12.72 fof(f2126,plain,(
% 97.71/12.72 ![X0]: (c_Transitive__Closure_Ortrancl(c_Relation_OId(X0),X0)=c_Relation_OId(X0)|~c_Relation_Otrans(c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f2111,f1471])).
% 97.71/12.72 fof(f2127,plain,(
% 97.71/12.72 ![X0]: (c_Transitive__Closure_Ortrancl(c_Relation_OId(X0),X0)=c_Relation_OId(X0))),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f2126,f1530])).
% 97.71/12.72 fof(f2129,plain,(
% 97.71/12.72 ![X0]: (c_Transitive__Closure_Otrancl(c_Relation_OId(X0),X0)=c_Relation_OId(X0))),
% 97.71/12.72 inference(backward_demodulation,[status(thm)],[f2127,f2111])).
% 97.71/12.72 fof(f3195,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (c_lessequals(c_Relation_OImage(X0,X1,X2,X2),X3,tc_fun(X2,tc_bool))|~c_Relation_Orefl__on(X3,X0,X2))),
% 97.71/12.72 inference(resolution,[status(thm)],[f787,f765])).
% 97.71/12.72 fof(f3604,plain,(
% 97.71/12.72 ![X0]: (~c_Wellfounded_Owf(c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(resolution,[status(thm)],[f1651,f1666])).
% 97.71/12.72 fof(f6972,plain,(
% 97.71/12.72 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_fun(X2,tc_bool))|~c_Relation_Orefl__on(X1,c_Relation_OId(X2),X2))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1494,f3195])).
% 97.71/12.72 fof(f6979,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Relation_Orefl__on(X0,c_Relation_OId(X1),X1)|c_in(X2,X0,X1))),
% 97.71/12.72 inference(resolution,[status(thm)],[f6972,f997])).
% 97.71/12.72 fof(f6988,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Relation_Orefl__on(X0,c_Relation_OId(X1),X1)|X0=X2|~c_lessequals(X0,X2,tc_fun(X1,tc_bool)))),
% 97.71/12.72 inference(resolution,[status(thm)],[f6972,f916])).
% 97.71/12.72 fof(f7039,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Relation_Orefl__on(X0,c_Relation_OId(X1),X1)|X0=c_Set_Oinsert(X2,X0,X1))),
% 97.71/12.72 inference(resolution,[status(thm)],[f6988,f848])).
% 97.71/12.72 fof(f7842,plain,(
% 97.71/12.72 ![X0,X1,X2,X3,X4]: (~c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f953,f716])).
% 97.71/12.72 fof(f13195,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X0),tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool)),X0)|~c_in(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X0),tc_fun(X0,tc_bool)),X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1059,f950])).
% 97.71/12.72 fof(f13196,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (~c_in(X0,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X0,X2,X3),tc_fun(X3,tc_bool)),X3))),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f13195,f716])).
% 97.71/12.72 fof(f13376,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (~hBOOL(hAPP(c_HOL_Ominus__class_Ominus(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),X1)))),
% 97.71/12.72 inference(resolution,[status(thm)],[f13196,f1733])).
% 97.71/12.72 fof(f20687,plain,(
% 97.71/12.72 ![X0]: (~c_Relation_OId(X0)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool))|c_Wellfounded_Owf(c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1483,f1272])).
% 97.71/12.72 fof(f20688,plain,(
% 97.71/12.72 ![X0]: (~c_Relation_OId(X0)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool)))),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f20687,f3604])).
% 97.71/12.72 fof(f23651,plain,(
% 97.71/12.72 ![X0]: (~c_Relation_Oconverse(c_Relation_OId(X0),X0,X0)=c_Relation_OId(X0)|c_Equiv__Relations_Oequiv(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1484,f1521])).
% 97.71/12.72 fof(f23652,plain,(
% 97.71/12.72 ![X0]: (~c_Relation_OId(X0)=c_Relation_OId(X0)|c_Equiv__Relations_Oequiv(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1513,f23651])).
% 97.71/12.72 fof(f23653,plain,(
% 97.71/12.72 ![X0]: (c_Equiv__Relations_Oequiv(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(trivial_equality_resolution,[status(esa)],[f23652])).
% 97.71/12.72 fof(f23667,plain,(
% 97.71/12.72 ![X0]: (c_Relation_Orefl__on(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),c_Relation_OId(X0),X0))),
% 97.71/12.72 inference(resolution,[status(thm)],[f23653,f1538])).
% 97.71/12.72 fof(f23714,plain,(
% 97.71/12.72 ![X0,X1,X2,X3]: (~c_Equiv__Relations_Oequiv(X0,X1,X2)|c_lessequals(c_Relation_OImage(X1,X3,X2,X2),X0,tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(resolution,[status(thm)],[f1231,f787])).
% 97.71/12.72 fof(f23757,plain,(
% 97.71/12.72 ![X0,X1]: (c_Relation_ODomain(c_Relation_OId(X0),X0,X0)=c_Set_Oinsert(X1,c_Relation_ODomain(c_Relation_OId(X0),X0,X0),X0))),
% 97.71/12.72 inference(resolution,[status(thm)],[f23667,f7039])).
% 97.71/12.72 fof(f23758,plain,(
% 97.71/12.72 ![X0,X1]: (c_in(X0,c_Relation_ODomain(c_Relation_OId(X1),X1,X1),X1))),
% 97.71/12.72 inference(resolution,[status(thm)],[f23667,f6979])).
% 97.71/12.72 fof(f23770,plain,(
% 97.71/12.72 ![X0,X1]: (hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),X1)))),
% 97.71/12.72 inference(resolution,[status(thm)],[f23758,f1735])).
% 97.71/12.72 fof(f23988,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~hBOOL(hAPP(c_HOL_Ominus__class_Ominus(X0,c_Relation_ODomain(c_Relation_OId(X1),X1,X1),tc_fun(X1,tc_bool)),X2)))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f23757,f13376])).
% 97.71/12.72 fof(f24017,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Set_Oimage(X0,c_Relation_ODomain(c_Relation_OId(X1),X1,X1),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f23757,f7842])).
% 97.71/12.72 fof(f24244,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(X1),X1)|c_lessequals(X2,X0,tc_fun(X1,tc_bool)))),
% 97.71/12.72 inference(paramodulation,[status(thm)],[f1494,f23714])).
% 97.71/12.72 fof(f24261,plain,(
% 97.71/12.72 ![X0,X1,X2]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(X1),X1)|c_in(X2,X0,X1))),
% 97.71/12.72 inference(resolution,[status(thm)],[f24244,f997])).
% 97.71/12.72 fof(f25707,plain,(
% 97.71/12.72 spl0_65 <=> v_b____=v_a____),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f25708,plain,(
% 97.71/12.72 v_b____=v_a____|~spl0_65),
% 97.71/12.72 inference(component_clause,[status(thm)],[f25707])).
% 97.71/12.72 fof(f25710,plain,(
% 97.71/12.72 spl0_66 <=> c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f25712,plain,(
% 97.71/12.72 ~c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|spl0_66),
% 97.71/12.72 inference(component_clause,[status(thm)],[f25710])).
% 97.71/12.72 fof(f25715,plain,(
% 97.71/12.72 spl0_67 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f25717,plain,(
% 97.71/12.72 ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_67),
% 97.71/12.72 inference(component_clause,[status(thm)],[f25715])).
% 97.71/12.72 fof(f25718,plain,(
% 97.71/12.72 ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_a____=v_b____|~c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 97.71/12.72 inference(resolution,[status(thm)],[f1297,f1738])).
% 97.71/12.72 fof(f25719,plain,(
% 97.71/12.72 ~spl0_67|spl0_65|~spl0_66),
% 97.71/12.72 inference(split_clause,[status(thm)],[f25718,f25715,f25707,f25710])).
% 97.71/12.72 fof(f25731,plain,(
% 97.71/12.72 spl0_70 <=> ~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_ODomain(c_Relation_OId(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f25732,plain,(
% 97.71/12.72 ![X0,X1]: (~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_ODomain(c_Relation_OId(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1|~spl0_70)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f25731])).
% 97.71/12.72 fof(f25748,plain,(
% 97.71/12.72 $false|spl0_67),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f25717,f1737])).
% 97.71/12.72 fof(f25749,plain,(
% 97.71/12.72 spl0_67),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f25748])).
% 97.71/12.72 fof(f25750,plain,(
% 97.71/12.72 $false|spl0_66),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f25712,f1736])).
% 97.71/12.72 fof(f25751,plain,(
% 97.71/12.72 spl0_66),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f25750])).
% 97.71/12.72 fof(f25752,plain,(
% 97.71/12.72 c_in(c_Pair(v_a____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_65),
% 97.71/12.72 inference(backward_demodulation,[status(thm)],[f25708,f1737])).
% 97.71/12.72 fof(f25778,plain,(
% 97.71/12.72 spl0_72 <=> c_in(c_Pair(v_a____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f25780,plain,(
% 97.71/12.72 ~c_in(c_Pair(v_a____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_72),
% 97.71/12.72 inference(component_clause,[status(thm)],[f25778])).
% 97.71/12.72 fof(f25791,plain,(
% 97.71/12.72 $false|~spl0_65|spl0_72),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f25780,f25752])).
% 97.71/12.72 fof(f25792,plain,(
% 97.71/12.72 ~spl0_65|spl0_72),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f25791])).
% 97.71/12.72 fof(f27046,plain,(
% 97.71/12.72 spl0_74 <=> ~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f27047,plain,(
% 97.71/12.72 ![X0]: (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_74)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f27046])).
% 97.71/12.72 fof(f27058,plain,(
% 97.71/12.72 ![X0]: (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_74)),
% 97.71/12.72 inference(duplicate_literals_removal,[status(esa)],[f27047])).
% 97.71/12.72 fof(f27059,plain,(
% 97.71/12.72 $false|~spl0_74),
% 97.71/12.72 inference(backward_subsumption_resolution,[status(thm)],[f1736,f27058])).
% 97.71/12.72 fof(f27060,plain,(
% 97.71/12.72 ~spl0_74),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f27059])).
% 97.71/12.72 fof(f29026,plain,(
% 97.71/12.72 spl0_76 <=> ~c_Wellfounded_Owf(X0,tc_prod(X1,X1))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f29027,plain,(
% 97.71/12.72 ![X0,X1]: (~c_Wellfounded_Owf(X0,tc_prod(X1,X1))|~spl0_76)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f29026])).
% 97.71/12.72 fof(f29173,plain,(
% 97.71/12.72 $false|~spl0_76),
% 97.71/12.72 inference(resolution,[status(thm)],[f29027,f995])).
% 97.71/12.72 fof(f29174,plain,(
% 97.71/12.72 ~spl0_76),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f29173])).
% 97.71/12.72 fof(f29862,plain,(
% 97.71/12.72 spl0_84 <=> ~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f29863,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_84)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f29862])).
% 97.71/12.72 fof(f29884,plain,(
% 97.71/12.72 spl0_87 <=> ~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Otrancl(c_Relation_Oconverse(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f29885,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Otrancl(c_Relation_Oconverse(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_87)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f29884])).
% 97.71/12.72 fof(f29959,plain,(
% 97.71/12.72 spl0_92 <=> hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt)))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f29961,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt)))|spl0_92),
% 97.71/12.72 inference(component_clause,[status(thm)],[f29959])).
% 97.71/12.72 fof(f29966,plain,(
% 97.71/12.72 $false|spl0_92),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f29961,f23770])).
% 97.71/12.72 fof(f29967,plain,(
% 97.71/12.72 spl0_92),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f29966])).
% 97.71/12.72 fof(f30036,plain,(
% 97.71/12.72 ![X0,X1]: (X0=X1|~spl0_70)),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f25732,f23758])).
% 97.71/12.72 fof(f30047,plain,(
% 97.71/12.72 $false|~spl0_70),
% 97.71/12.72 inference(backward_subsumption_resolution,[status(thm)],[f20688,f30036])).
% 97.71/12.72 fof(f30048,plain,(
% 97.71/12.72 ~spl0_70),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f30047])).
% 97.71/12.72 fof(f31451,plain,(
% 97.71/12.72 spl0_97 <=> ~c_Wellfounded_Owf(X6,tc_prod(t_a,t_a))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f31452,plain,(
% 97.71/12.72 ![X0]: (~c_Wellfounded_Owf(X0,tc_prod(t_a,t_a))|~spl0_97)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f31451])).
% 97.71/12.72 fof(f31497,plain,(
% 97.71/12.72 spl0_101 <=> hBOOL(hAPP(X0,X1))|hBOOL(hAPP(X0,X2))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f31498,plain,(
% 97.71/12.72 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|hBOOL(hAPP(X0,X2))|~spl0_101)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f31497])).
% 97.71/12.72 fof(f31624,plain,(
% 97.71/12.72 $false|~spl0_97),
% 97.71/12.72 inference(resolution,[status(thm)],[f31452,f995])).
% 97.71/12.72 fof(f31625,plain,(
% 97.71/12.72 ~spl0_97),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f31624])).
% 97.71/12.72 fof(f31656,plain,(
% 97.71/12.72 ![X0,X1,X2]: (hBOOL(hAPP(c_HOL_Ominus__class_Ominus(X0,c_Relation_ODomain(c_Relation_OId(X1),X1,X1),tc_fun(X1,tc_bool)),X2))|~spl0_101)),
% 97.71/12.72 inference(resolution,[status(thm)],[f31498,f23988])).
% 97.71/12.72 fof(f31657,plain,(
% 97.71/12.72 $false|~spl0_101),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f31656,f23988])).
% 97.71/12.72 fof(f31658,plain,(
% 97.71/12.72 ~spl0_101),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f31657])).
% 97.71/12.72 fof(f32191,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Otrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_87)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1513,f29885])).
% 97.71/12.72 fof(f32192,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_87)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2129,f32191])).
% 97.71/12.72 fof(f32193,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_87)),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f32192,f24261])).
% 97.71/12.72 fof(f32198,plain,(
% 97.71/12.72 $false|~spl0_87),
% 97.71/12.72 inference(resolution,[status(thm)],[f32193,f23653])).
% 97.71/12.72 fof(f32199,plain,(
% 97.71/12.72 ~spl0_87),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f32198])).
% 97.71/12.72 fof(f32230,plain,(
% 97.71/12.72 spl0_112 <=> ~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_Oconverse(c_Transitive__Closure_Otrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f32231,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_Oconverse(c_Transitive__Closure_Otrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_112)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f32230])).
% 97.71/12.72 fof(f32239,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_Oconverse(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_112)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2129,f32231])).
% 97.71/12.72 fof(f32240,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_112)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1513,f32239])).
% 97.71/12.72 fof(f32241,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_112)),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f32240,f24261])).
% 97.71/12.72 fof(f32242,plain,(
% 97.71/12.72 $false|~spl0_112),
% 97.71/12.72 inference(resolution,[status(thm)],[f32241,f23653])).
% 97.71/12.72 fof(f32243,plain,(
% 97.71/12.72 ~spl0_112),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f32242])).
% 97.71/12.72 fof(f32693,plain,(
% 97.71/12.72 spl0_116 <=> c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f32695,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_116),
% 97.71/12.72 inference(component_clause,[status(thm)],[f32693])).
% 97.71/12.72 fof(f32706,plain,(
% 97.71/12.72 spl0_118 <=> c_in(v_a____,c_Relation_ORange(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f32708,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ORange(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_118),
% 97.71/12.72 inference(component_clause,[status(thm)],[f32706])).
% 97.71/12.72 fof(f33871,plain,(
% 97.71/12.72 spl0_131 <=> c_in(v_a____,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f33873,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_131),
% 97.71/12.72 inference(component_clause,[status(thm)],[f33871])).
% 97.71/12.72 fof(f33885,plain,(
% 97.71/12.72 spl0_133 <=> c_in(v_a____,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f33887,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_133),
% 97.71/12.72 inference(component_clause,[status(thm)],[f33885])).
% 97.71/12.72 fof(f33917,plain,(
% 97.71/12.72 spl0_135 <=> c_in(v_a____,c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f33919,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_135),
% 97.71/12.72 inference(component_clause,[status(thm)],[f33917])).
% 97.71/12.72 fof(f33961,plain,(
% 97.71/12.72 spl0_138 <=> hBOOL(hAPP(c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f33963,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_138),
% 97.71/12.72 inference(component_clause,[status(thm)],[f33961])).
% 97.71/12.72 fof(f34934,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_84)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1513,f29863])).
% 97.71/12.72 fof(f34935,plain,(
% 97.71/12.72 ![X0]: (~c_in(v_a____,X0,tc_Arrow__Order__Mirabelle_Oalt)|~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_84)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2127,f34934])).
% 97.71/12.72 fof(f34936,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_84)),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f34935,f24261])).
% 97.71/12.72 fof(f34937,plain,(
% 97.71/12.72 $false|~spl0_84),
% 97.71/12.72 inference(resolution,[status(thm)],[f34936,f23653])).
% 97.71/12.72 fof(f34938,plain,(
% 97.71/12.72 ~spl0_84),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f34937])).
% 97.71/12.72 fof(f35322,plain,(
% 97.71/12.72 spl0_156 <=> hBOOL(hAPP(c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f35324,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ORange(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_156),
% 97.71/12.72 inference(component_clause,[status(thm)],[f35322])).
% 97.71/12.72 fof(f36920,plain,(
% 97.71/12.72 spl0_164 <=> hBOOL(hAPP(c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f36922,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_164),
% 97.71/12.72 inference(component_clause,[status(thm)],[f36920])).
% 97.71/12.72 fof(f36941,plain,(
% 97.71/12.72 spl0_165 <=> hBOOL(hAPP(c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f36943,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_165),
% 97.71/12.72 inference(component_clause,[status(thm)],[f36941])).
% 97.71/12.72 fof(f38442,plain,(
% 97.71/12.72 spl0_170 <=> ~c_Equiv__Relations_Oequiv(X3,c_Relation_OId(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f38443,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))|~spl0_170)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f38442])).
% 97.71/12.72 fof(f38465,plain,(
% 97.71/12.72 $false|~spl0_170),
% 97.71/12.72 inference(resolution,[status(thm)],[f38443,f23653])).
% 97.71/12.72 fof(f38466,plain,(
% 97.71/12.72 ~spl0_170),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38465])).
% 97.71/12.72 fof(f38818,plain,(
% 97.71/12.72 spl0_174 <=> ~c_Equiv__Relations_Oequiv(X3,c_Transitive__Closure_Otrancl(c_Relation_OId(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f38819,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Transitive__Closure_Otrancl(c_Relation_OId(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))|~spl0_174)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f38818])).
% 97.71/12.72 fof(f38894,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_165),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1276,f36943])).
% 97.71/12.72 fof(f38895,plain,(
% 97.71/12.72 $false|spl0_165),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38894,f23770])).
% 97.71/12.72 fof(f38896,plain,(
% 97.71/12.72 spl0_165),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38895])).
% 97.71/12.72 fof(f38897,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ORange(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_156),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1276,f35324])).
% 97.71/12.72 fof(f38898,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_156),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2104,f38897])).
% 97.71/12.72 fof(f38899,plain,(
% 97.71/12.72 $false|spl0_156),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38898,f23770])).
% 97.71/12.72 fof(f38900,plain,(
% 97.71/12.72 spl0_156),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38899])).
% 97.71/12.72 fof(f38901,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ORange(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_135),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1276,f33919])).
% 97.71/12.72 fof(f38902,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_135),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2104,f38901])).
% 97.71/12.72 fof(f38903,plain,(
% 97.71/12.72 $false|spl0_135),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38902,f23758])).
% 97.71/12.72 fof(f38904,plain,(
% 97.71/12.72 spl0_135),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38903])).
% 97.71/12.72 fof(f38905,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_131),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f1276,f33873])).
% 97.71/12.72 fof(f38906,plain,(
% 97.71/12.72 $false|spl0_131),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38905,f23758])).
% 97.71/12.72 fof(f38907,plain,(
% 97.71/12.72 spl0_131),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38906])).
% 97.71/12.72 fof(f38911,plain,(
% 97.71/12.72 $false|spl0_116),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f32695,f23758])).
% 97.71/12.72 fof(f38912,plain,(
% 97.71/12.72 spl0_116),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38911])).
% 97.71/12.72 fof(f38913,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_164),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2127,f36922])).
% 97.71/12.72 fof(f38914,plain,(
% 97.71/12.72 $false|spl0_164),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38913,f23770])).
% 97.71/12.72 fof(f38915,plain,(
% 97.71/12.72 spl0_164),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38914])).
% 97.71/12.72 fof(f38916,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ORange(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_138),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2127,f33963])).
% 97.71/12.72 fof(f38917,plain,(
% 97.71/12.72 ~hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____))|spl0_138),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2104,f38916])).
% 97.71/12.72 fof(f38918,plain,(
% 97.71/12.72 $false|spl0_138),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38917,f23770])).
% 97.71/12.72 fof(f38919,plain,(
% 97.71/12.72 spl0_138),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38918])).
% 97.71/12.72 fof(f38920,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_133),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2127,f33887])).
% 97.71/12.72 fof(f38921,plain,(
% 97.71/12.72 $false|spl0_133),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38920,f23758])).
% 97.71/12.72 fof(f38922,plain,(
% 97.71/12.72 spl0_133),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38921])).
% 97.71/12.72 fof(f38923,plain,(
% 97.71/12.72 ~c_in(v_a____,c_Relation_ODomain(c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)|spl0_118),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2104,f32708])).
% 97.71/12.72 fof(f38924,plain,(
% 97.71/12.72 $false|spl0_118),
% 97.71/12.72 inference(forward_subsumption_resolution,[status(thm)],[f38923,f23758])).
% 97.71/12.72 fof(f38925,plain,(
% 97.71/12.72 spl0_118),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38924])).
% 97.71/12.72 fof(f38954,plain,(
% 97.71/12.72 ![X0]: (~c_Equiv__Relations_Oequiv(X0,c_Relation_OId(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool))|~spl0_174)),
% 97.71/12.72 inference(forward_demodulation,[status(thm)],[f2129,f38819])).
% 97.71/12.72 fof(f38977,plain,(
% 97.71/12.72 $false|~spl0_174),
% 97.71/12.72 inference(resolution,[status(thm)],[f38954,f23653])).
% 97.71/12.72 fof(f38978,plain,(
% 97.71/12.72 ~spl0_174),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f38977])).
% 97.71/12.72 fof(f43421,plain,(
% 97.71/12.72 spl0_248 <=> X0=X1),
% 97.71/12.72 introduced(split_symbol_definition)).
% 97.71/12.72 fof(f43422,plain,(
% 97.71/12.72 ![X0,X1]: (X0=X1|~spl0_248)),
% 97.71/12.72 inference(component_clause,[status(thm)],[f43421])).
% 97.71/12.72 fof(f43899,plain,(
% 97.71/12.72 $false|~spl0_248),
% 97.71/12.72 inference(backward_subsumption_resolution,[status(thm)],[f24017,f43422])).
% 97.71/12.72 fof(f43900,plain,(
% 97.71/12.72 ~spl0_248),
% 97.71/12.72 inference(contradiction_clause,[status(thm)],[f43899])).
% 97.71/12.72 fof(f44722,plain,(
% 97.71/12.72 ~c_in(c_Pair(v_a____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_65),
% 98.47/12.85 inference(resolution,[status(thm)],[f1567,f25752])).
% 98.47/12.85 fof(f44723,plain,(
% 98.47/12.85 ~spl0_72|~spl0_66|~spl0_65),
% 98.47/12.85 inference(split_clause,[status(thm)],[f44722,f25778,f25710,f25707])).
% 98.47/12.85 fof(f44782,plain,(
% 98.47/12.85 $false),
% 98.47/12.85 inference(sat_refutation,[status(thm)],[f25719,f25749,f25751,f25792,f27060,f29174,f29967,f30048,f31625,f31658,f32199,f32243,f34938,f38466,f38896,f38900,f38904,f38907,f38912,f38915,f38919,f38922,f38925,f38978,f43900,f44723])).
% 98.47/12.85 % SZS output end CNFRefutation for theBenchmark.p
% 100.84/14.01 % Elapsed time: 13.444203 seconds
% 100.84/14.01 % CPU time: 96.758168 seconds
% 100.84/14.01 % Memory used: 1.051 GB
%------------------------------------------------------------------------------