TSTP Solution File: SCT073-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 26.95s 3.85s
% Output : CNFRefutation 28.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 09:59:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % Drodi V3.5.1
% 26.95/3.85 % Refutation found
% 26.95/3.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.95/3.85 % SZS output start CNFRefutation for theBenchmark
% 26.95/3.85 fof(f2,axiom,(
% 26.95/3.85 (![T_a,V_x]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f3,axiom,(
% 26.95/3.85 (![V_A,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f16,axiom,(
% 26.95/3.85 (![V_a,V_B,T_a,V_C]: (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f25,axiom,(
% 26.95/3.85 (![V_a,V_b,T_a,T_b,V_r]: (c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f29,axiom,(
% 26.95/3.85 (![V_x,V_y,V_A,T_a]: (c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f45,axiom,(
% 26.95/3.85 (![V_B,V_A,T_a]: (c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f46,axiom,(
% 26.95/3.85 (![V_A,V_B,T_a]: (c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f49,axiom,(
% 26.95/3.85 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f85,axiom,(
% 26.95/3.85 (![V_A,V_B,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f86,axiom,(
% 26.95/3.85 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f88,axiom,(
% 26.95/3.85 (![V_A,V_B,T_a,T_b]: (c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f116,axiom,(
% 26.95/3.85 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ c_in(V_a,V_A,T_a) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f125,axiom,(
% 26.95/3.85 (![V_r,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f128,axiom,(
% 26.95/3.85 (![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)) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f140,axiom,(
% 26.95/3.85 (![V_A,V_B,T_a,V_x]: (( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| ~ hBOOL(hAPP(V_B,V_x)) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f159,axiom,(
% 26.95/3.85 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x| ~ c_lessequals(V_y,V_x,T_a) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 26.95/3.85 fof(f161,axiom,(
% 26.95/3.85 (![T_a,V_x,V_y]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y| ~ c_lessequals(V_x,V_y,T_a) ) ))),
% 26.95/3.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f188,axiom,(
% 27.53/3.87 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f197,axiom,(
% 27.53/3.87 (![T_a,V_x]: (( ~ class_Lattices_Olower__semilattice(T_a)| c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f199,axiom,(
% 27.53/3.87 (![V_r,T_a]: (c_Relation_OField(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_r,T_a,T_a),tc_fun(T_a,tc_bool)) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f222,axiom,(
% 27.53/3.87 (![V_r,T_a]: (c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f234,axiom,(
% 27.53/3.87 (![V_f,V_A,V_B,T_b,T_a]: (( c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))| c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f264,axiom,(
% 27.53/3.87 (![T_a,V_A,V_x]: (( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)| c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| ~ c_in(V_x,V_A,T_a) ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f292,axiom,(
% 27.53/3.87 (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f314,axiom,(
% 27.53/3.87 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f399,axiom,(
% 27.53/3.87 (![T_a,V_A]: (c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f409,axiom,(
% 27.53/3.87 (![T_a]: (c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f416,axiom,(
% 27.53/3.87 (![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) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f439,axiom,(
% 27.53/3.87 (![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)) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f459,axiom,(
% 27.53/3.87 (![V_a,V_b]: (( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| V_a = V_b ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f460,axiom,(
% 27.53/3.87 (![V_a,V_b]: (( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| V_a = V_b ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f464,axiom,(
% 27.53/3.87 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f523,axiom,(
% 27.53/3.87 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f524,axiom,(
% 27.53/3.87 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f525,axiom,(
% 27.53/3.87 (![V_Lab]: (( v_thesis____| ~ 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))| ~ 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)) ) ))),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f527,axiom,(
% 27.53/3.87 v_a____ != v_b____ ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f528,negated_conjecture,(
% 27.53/3.87 ~ v_thesis____ ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f539,axiom,(
% 27.53/3.87 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f540,axiom,(
% 27.53/3.87 class_Lattices_Oupper__semilattice(tc_bool) ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f541,axiom,(
% 27.53/3.87 class_Lattices_Olower__semilattice(tc_bool) ),
% 27.53/3.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 27.53/3.87 fof(f551,plain,(
% 27.53/3.87 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x]: c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f2])).
% 27.53/3.87 fof(f552,plain,(
% 27.53/3.87 ![X0,X1]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0)=X1)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f551])).
% 27.53/3.87 fof(f553,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool))=X0)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f3])).
% 27.53/3.87 fof(f573,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))=c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f16])).
% 27.53/3.87 fof(f584,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_Relation_ODomain(c_Set_Oinsert(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3)=c_Set_Oinsert(X0,c_Relation_ODomain(X4,X2,X3),X2))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f25])).
% 27.53/3.87 fof(f589,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f29])).
% 27.53/3.87 fof(f612,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f45])).
% 27.53/3.87 fof(f613,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f46])).
% 27.53/3.87 fof(f618,plain,(
% 27.53/3.87 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x,V_y]: c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f49])).
% 27.53/3.87 fof(f619,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f618])).
% 27.53/3.87 fof(f679,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f85])).
% 27.53/3.87 fof(f680,plain,(
% 27.53/3.87 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x,V_y]: c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f86])).
% 27.53/3.87 fof(f681,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f680])).
% 27.53/3.87 fof(f684,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X0,X2,X3),c_Relation_ODomain(X1,X2,X3),tc_fun(X2,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f88])).
% 27.53/3.87 fof(f729,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~c_in(X0,X1,X2))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f116])).
% 27.53/3.87 fof(f744,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X0,X1),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool))=c_Transitive__Closure_Ortrancl(X0,X1))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f125])).
% 27.53/3.87 fof(f747,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f128])).
% 27.53/3.87 fof(f767,plain,(
% 27.53/3.87 ![V_B,V_x]: ((![V_A,T_a]: hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)))|~hBOOL(hAPP(V_B,V_x)))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f140])).
% 27.53/3.87 fof(f768,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3))|~hBOOL(hAPP(X1,X3)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f767])).
% 27.53/3.87 fof(f799,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X1|~c_lessequals(X2,X1,X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f159])).
% 27.53/3.87 fof(f801,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)=X2|~c_lessequals(X1,X2,X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f161])).
% 27.53/3.87 fof(f844,plain,(
% 27.53/3.87 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f188])).
% 27.53/3.87 fof(f858,plain,(
% 27.53/3.87 ![T_a]: (~class_Lattices_Olower__semilattice(T_a)|(![V_x]: c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f197])).
% 27.53/3.87 fof(f859,plain,(
% 27.53/3.87 ![X0,X1]: (~class_Lattices_Olower__semilattice(X0)|c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0)=X1)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f858])).
% 27.53/3.87 fof(f861,plain,(
% 27.53/3.87 ![X0,X1]: (c_Relation_OField(X0,X1)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X0,X1,X1),c_Relation_ORange(X0,X1,X1),tc_fun(X1,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f199])).
% 27.53/3.87 fof(f902,plain,(
% 27.53/3.87 ![X0,X1]: (c_Transitive__Closure_Otrancl(X0,X1)=c_Lattices_Oupper__semilattice__class_Osup(X0,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X0,X1),X0,X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f222])).
% 27.53/3.87 fof(f916,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_in(X0,c_FuncSet_OPi(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),tc_fun(X4,X3))|c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X1,X2,X0,X4,X3),X1,X4))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f234])).
% 27.53/3.87 fof(f957,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~class_Complete__Lattice_Ocomplete__lattice(X0)|c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,X0),X2,X0)|~c_in(X2,X1,X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f264])).
% 27.53/3.87 fof(f999,plain,(
% 27.53/3.87 ![X0,X1]: (c_lessequals(X0,X0,tc_fun(X1,tc_bool)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f292])).
% 27.53/3.87 fof(f1027,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f314])).
% 27.53/3.87 fof(f1140,plain,(
% 27.53/3.87 ![X0,X1]: (c_Relation_OImage(c_Relation_OId(X0),X1,X0,X0)=X1)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f399])).
% 27.53/3.87 fof(f1152,plain,(
% 27.53/3.87 ![X0]: (c_Relation_Oconverse(c_Relation_OId(X0),X0,X0)=c_Relation_OId(X0))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f409])).
% 27.53/3.87 fof(f1159,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Relation_ORange(c_Relation_Oconverse(X0,X1,X2),X2,X1)=c_Relation_ODomain(X0,X1,X2))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f416])).
% 27.53/3.87 fof(f1196,plain,(
% 27.53/3.87 ![X0,X1]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f439])).
% 27.53/3.87 fof(f1228,plain,(
% 27.53/3.87 ![X0,X1]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f459])).
% 27.53/3.87 fof(f1229,plain,(
% 27.53/3.87 ![X0,X1]: (c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X0=X1)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f460])).
% 27.53/3.87 fof(f1236,plain,(
% 27.53/3.87 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f464])).
% 27.53/3.87 fof(f1340,plain,(
% 27.53/3.87 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f523])).
% 27.53/3.87 fof(f1341,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f1340])).
% 27.53/3.87 fof(f1342,plain,(
% 27.53/3.87 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 27.53/3.87 inference(miniscoping,[status(esa)],[f524])).
% 27.53/3.87 fof(f1343,plain,(
% 27.53/3.87 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f1342])).
% 27.53/3.87 fof(f1344,plain,(
% 27.53/3.87 ![X0]: (v_thesis____|~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(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f525])).
% 27.53/3.87 fof(f1347,plain,(
% 27.53/3.87 ~v_a____=v_b____),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f527])).
% 27.53/3.87 fof(f1348,plain,(
% 27.53/3.87 ~v_thesis____),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f528])).
% 27.53/3.87 fof(f1369,plain,(
% 27.53/3.87 class_Complete__Lattice_Ocomplete__lattice(tc_bool)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f539])).
% 27.53/3.87 fof(f1370,plain,(
% 27.53/3.87 class_Lattices_Oupper__semilattice(tc_bool)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f540])).
% 27.53/3.87 fof(f1371,plain,(
% 27.53/3.87 class_Lattices_Olower__semilattice(tc_bool)),
% 27.53/3.87 inference(cnf_transformation,[status(esa)],[f541])).
% 27.53/3.87 fof(f1381,plain,(
% 27.53/3.87 spl0_0 <=> v_thesis____),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f1382,plain,(
% 27.53/3.87 v_thesis____|~spl0_0),
% 27.53/3.87 inference(component_clause,[status(thm)],[f1381])).
% 27.53/3.87 fof(f1384,plain,(
% 27.53/3.87 spl0_1 <=> ~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(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f1385,plain,(
% 27.53/3.87 ![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(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_1)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f1384])).
% 27.53/3.87 fof(f1387,plain,(
% 27.53/3.87 spl0_0|spl0_1),
% 27.53/3.87 inference(split_clause,[status(thm)],[f1344,f1381,f1384])).
% 27.53/3.87 fof(f1401,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_bool)=X0)),
% 27.53/3.87 inference(resolution,[status(thm)],[f552,f1370])).
% 27.53/3.87 fof(f1406,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_bool)=X0)),
% 27.53/3.87 inference(resolution,[status(thm)],[f859,f1371])).
% 27.53/3.87 fof(f1411,plain,(
% 27.53/3.87 $false|~spl0_0),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f1382,f1348])).
% 27.53/3.87 fof(f1412,plain,(
% 27.53/3.87 ~spl0_0),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f1411])).
% 27.53/3.87 fof(f1463,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_in(X0,c_Set_Oinsert(X0,X1,X2),X3))),
% 27.53/3.87 inference(resolution,[status(thm)],[f1341,f844])).
% 27.53/3.87 fof(f1464,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_in(X0,c_COMBK(X1,X2,X3),X4)|~hBOOL(X1))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f1027,f1341])).
% 27.53/3.87 fof(f1465,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,X1,X2))),
% 27.53/3.87 inference(resolution,[status(thm)],[f1463,f729])).
% 27.53/3.87 fof(f1489,plain,(
% 27.53/3.87 ![X0,X1]: (c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool),tc_bool))),
% 27.53/3.87 inference(resolution,[status(thm)],[f619,f1370])).
% 27.53/3.87 fof(f1490,plain,(
% 27.53/3.87 ![X0]: (c_lessequals(X0,X0,tc_bool))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f1401,f1489])).
% 27.53/3.87 fof(f1507,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X1,tc_fun(X2,tc_bool))=c_Set_Oinsert(X0,X1,X2))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f553,f573])).
% 27.53/3.87 fof(f1509,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)),X4))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f573,f1463])).
% 27.53/3.87 fof(f1543,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4,X5,X6]: (c_in(X0,c_COMBK(hAPP(c_Set_Oinsert(X1,X2,X3),X1),X4,X5),X6))),
% 27.53/3.87 inference(resolution,[status(thm)],[f1464,f844])).
% 27.53/3.87 fof(f1562,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_bool))),
% 27.53/3.87 inference(resolution,[status(thm)],[f681,f1370])).
% 27.53/3.87 fof(f1702,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=X0|~c_lessequals(X1,X0,tc_bool))),
% 27.53/3.87 inference(resolution,[status(thm)],[f799,f1370])).
% 27.53/3.87 fof(f1722,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),X4))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f589,f1463])).
% 27.53/3.87 fof(f1779,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_bool)=X1|~c_lessequals(X0,X1,tc_bool))),
% 27.53/3.87 inference(resolution,[status(thm)],[f801,f1370])).
% 27.53/3.87 fof(f1934,plain,(
% 27.53/3.87 ![X0]: (c_Relation_ORange(c_Relation_OId(X0),X0,X0)=c_Relation_ODomain(c_Relation_OId(X0),X0,X0))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f1152,f1159])).
% 27.53/3.87 fof(f1956,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4,X5]: (c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X4),X5))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f1465,f1722])).
% 27.53/3.87 fof(f2117,plain,(
% 27.53/3.87 ![X0,X1]: (hBOOL(hAPP(c_Relation_OId(X0),c_Pair(X1,X1,X0,X0))))),
% 27.53/3.87 inference(resolution,[status(thm)],[f1196,f1343])).
% 27.53/3.87 fof(f2120,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),X2))),
% 27.53/3.87 inference(resolution,[status(thm)],[f2117,f1341])).
% 27.53/3.87 fof(f2124,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Set_Oinsert(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),X2)=c_Relation_OId(X1))),
% 27.53/3.87 inference(resolution,[status(thm)],[f2120,f729])).
% 27.53/3.87 fof(f2153,plain,(
% 27.53/3.87 ![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))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2124,f584])).
% 27.53/3.87 fof(f2246,plain,(
% 27.53/3.87 ![X0,X1]: (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X0,tc_bool),X1,tc_bool)|~c_in(X1,X0,tc_bool))),
% 27.53/3.87 inference(resolution,[status(thm)],[f957,f1369])).
% 27.53/3.87 fof(f2330,plain,(
% 27.53/3.87 hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1))),
% 27.53/3.87 inference(resolution,[status(thm)],[f1236,f1343])).
% 27.53/3.87 fof(f2334,plain,(
% 27.53/3.87 ![X0]: (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,X0))),
% 27.53/3.87 inference(resolution,[status(thm)],[f2330,f1341])).
% 27.53/3.87 fof(f2339,plain,(
% 27.53/3.87 ![X0]: (c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,X0)=c_Arrow__Order__Mirabelle_OLin)),
% 27.53/3.87 inference(resolution,[status(thm)],[f2334,f729])).
% 27.53/3.87 fof(f2344,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,X1),X2))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2339,f1956])).
% 27.53/3.87 fof(f3629,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(X0,X1,tc_bool)|c_Lattices_Oupper__semilattice__class_Osup(X0,c_Complete__Lattice_OInf__class_OInf(X1,tc_bool),tc_bool)=X0)),
% 27.53/3.87 inference(resolution,[status(thm)],[f2246,f1702])).
% 27.53/3.87 fof(f3630,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(X0,X1,tc_bool)|c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(X1,tc_bool),X0,tc_bool)=X0)),
% 27.53/3.87 inference(resolution,[status(thm)],[f2246,f1779])).
% 27.53/3.87 fof(f4469,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,X0,tc_fun(X1,tc_bool)),X2))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2339,f1509])).
% 27.53/3.87 fof(f4477,plain,(
% 27.53/3.87 ![X0,X1]: (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,X0,tc_fun(X1,tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)))),
% 27.53/3.87 inference(resolution,[status(thm)],[f4469,f1343])).
% 27.53/3.87 fof(f5767,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X0),c_Transitive__Closure_Otrancl(X1,X0),tc_fun(tc_prod(X0,X0),tc_bool))=c_Transitive__Closure_Ortrancl(X1,X0))),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f679,f744])).
% 27.53/3.87 fof(f5823,plain,(
% 27.53/3.87 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,X1),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
% 27.53/3.87 inference(resolution,[status(thm)],[f3629,f2344])).
% 27.53/3.87 fof(f7145,plain,(
% 27.53/3.87 ![X0,X1,X2]: (hBOOL(hAPP(c_Transitive__Closure_Ortrancl(X0,X1),X2))|~hBOOL(hAPP(c_Transitive__Closure_Otrancl(X0,X1),X2)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f5767,f768])).
% 27.53/3.87 fof(f7401,plain,(
% 27.53/3.87 spl0_118 <=> v_a____=v_b____),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f7402,plain,(
% 27.53/3.87 v_a____=v_b____|~spl0_118),
% 27.53/3.87 inference(component_clause,[status(thm)],[f7401])).
% 27.53/3.87 fof(f7485,plain,(
% 27.53/3.87 $false|~spl0_118),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f7402,f1347])).
% 27.53/3.87 fof(f7486,plain,(
% 27.53/3.87 ~spl0_118),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f7485])).
% 27.53/3.87 fof(f7822,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool))=c_Set_Oinsert(X1,X0,X2))),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f679,f1507])).
% 27.53/3.87 fof(f8045,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(X0,c_Relation_ODomain(c_Relation_OId(X1),X1,X1),X2))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2153,f1463])).
% 27.53/3.87 fof(f8046,plain,(
% 27.53/3.87 ![X0,X1]: (hBOOL(hAPP(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),X1)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2153,f844])).
% 27.53/3.87 fof(f9114,plain,(
% 27.53/3.87 spl0_130 <=> c_lessequals(c_Complete__Lattice_OSup__class_OSup(c_Arrow__Order__Mirabelle_OLin,tc_bool),c_Complete__Lattice_OSup__class_OSup(c_Arrow__Order__Mirabelle_OLin,tc_bool),tc_bool)),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f9116,plain,(
% 27.53/3.87 ~c_lessequals(c_Complete__Lattice_OSup__class_OSup(c_Arrow__Order__Mirabelle_OLin,tc_bool),c_Complete__Lattice_OSup__class_OSup(c_Arrow__Order__Mirabelle_OLin,tc_bool),tc_bool)|spl0_130),
% 27.53/3.87 inference(component_clause,[status(thm)],[f9114])).
% 27.53/3.87 fof(f9172,plain,(
% 27.53/3.87 $false|spl0_130),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f9116,f1490])).
% 27.53/3.87 fof(f9173,plain,(
% 27.53/3.87 spl0_130),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f9172])).
% 27.53/3.87 fof(f9179,plain,(
% 27.53/3.87 spl0_133 <=> ~c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(X0,tc_bool))=c_Arrow__Order__Mirabelle_OLin),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f9180,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(X0,tc_bool))=c_Arrow__Order__Mirabelle_OLin|~spl0_133)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f9179])).
% 27.53/3.87 fof(f9878,plain,(
% 27.53/3.87 spl0_134 <=> ~c_lessequals(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f9879,plain,(
% 27.53/3.87 ![X0,X1]: (~c_lessequals(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))|~spl0_134)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f9878])).
% 27.53/3.87 fof(f9893,plain,(
% 27.53/3.87 spl0_135 <=> ~c_lessequals(c_Arrow__Order__Mirabelle_OLin,c_Set_Oinsert(X0,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f9894,plain,(
% 27.53/3.87 ![X0,X1]: (~c_lessequals(c_Arrow__Order__Mirabelle_OLin,c_Set_Oinsert(X0,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))|~spl0_135)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f9893])).
% 27.53/3.87 fof(f10707,plain,(
% 27.53/3.87 spl0_158 <=> ~c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,X0,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))=X0),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f10708,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_OLin,X0,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))=X0|~spl0_158)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f10707])).
% 27.53/3.87 fof(f11418,plain,(
% 27.53/3.87 spl0_170 <=> ~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,X1),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f11419,plain,(
% 27.53/3.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,X1),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_170)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f11418])).
% 27.53/3.87 fof(f12066,plain,(
% 27.53/3.87 spl0_185 <=> c_lessequals(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_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)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f12068,plain,(
% 27.53/3.87 ~c_lessequals(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_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)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))|spl0_185),
% 27.53/3.87 inference(component_clause,[status(thm)],[f12066])).
% 27.53/3.87 fof(f12074,plain,(
% 27.53/3.87 $false|spl0_185),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f12068,f999])).
% 27.53/3.87 fof(f12075,plain,(
% 27.53/3.87 spl0_185),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f12074])).
% 27.53/3.87 fof(f12790,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (~hBOOL(hAPP(c_Transitive__Closure_Otrancl(X0,X1),X2))|c_in(X2,c_Transitive__Closure_Ortrancl(X0,X1),X3))),
% 27.53/3.87 inference(resolution,[status(thm)],[f7145,f1341])).
% 27.53/3.87 fof(f12865,plain,(
% 27.53/3.87 ![X0]: (c_Relation_OField(c_Relation_OId(X0),X0)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Relation_OId(X0),X0,X0),c_Relation_ODomain(c_Relation_OId(X0),X0,X0),tc_fun(X0,tc_bool)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f1934,f861])).
% 27.53/3.87 fof(f12866,plain,(
% 27.53/3.87 ![X0]: (c_Relation_OField(c_Relation_OId(X0),X0)=c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X0),c_Relation_OId(X0),tc_fun(tc_prod(X0,X0),tc_bool)),X0,X0))),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f684,f12865])).
% 27.53/3.87 fof(f12867,plain,(
% 27.53/3.87 ![X0]: (c_Relation_OField(c_Relation_OId(X0),X0)=c_Relation_ODomain(c_Relation_OId(X0),X0,X0))),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f553,f12866])).
% 27.53/3.87 fof(f12917,plain,(
% 27.53/3.87 ![X0,X1]: (c_lessequals(c_Relation_ODomain(X0,X1,X1),c_Relation_OField(X0,X1),tc_fun(X1,tc_bool)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f861,f613])).
% 27.53/3.87 fof(f12918,plain,(
% 27.53/3.87 ![X0,X1]: (c_lessequals(c_Relation_ORange(X0,X1,X1),c_Relation_OField(X0,X1),tc_fun(X1,tc_bool)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f861,f612])).
% 27.53/3.87 fof(f13453,plain,(
% 27.53/3.87 spl0_195 <=> ~c_lessequals(c_Relation_ODomain(v_r,t_a,t_a),X0,tc_fun(t_a,tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f13454,plain,(
% 27.53/3.87 ![X0]: (~c_lessequals(c_Relation_ODomain(v_r,t_a,t_a),X0,tc_fun(t_a,tc_bool))|~spl0_195)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f13453])).
% 27.53/3.87 fof(f13477,plain,(
% 27.53/3.87 spl0_197 <=> ~c_lessequals(c_Relation_ORange(v_r,t_a,t_a),X0,tc_fun(t_a,tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f13478,plain,(
% 27.53/3.87 ![X0]: (~c_lessequals(c_Relation_ORange(v_r,t_a,t_a),X0,tc_fun(t_a,tc_bool))|~spl0_197)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f13477])).
% 27.53/3.87 fof(f13500,plain,(
% 27.53/3.87 ~c_Arrow__Order__Mirabelle_OLin=c_Arrow__Order__Mirabelle_OLin|~spl0_133),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f553,f9180])).
% 27.53/3.87 fof(f13501,plain,(
% 27.53/3.87 $false|~spl0_133),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f13500])).
% 27.53/3.87 fof(f13502,plain,(
% 27.53/3.87 ~spl0_133),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f13501])).
% 27.53/3.87 fof(f13503,plain,(
% 27.53/3.87 ![X0,X1]: (~c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X0,c_Arrow__Order__Mirabelle_OLin,X1),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_170)),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1562,f11419])).
% 27.53/3.87 fof(f13504,plain,(
% 27.53/3.87 ~v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_170),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f5823,f13503])).
% 27.53/3.87 fof(f13505,plain,(
% 27.53/3.87 $false|~spl0_170),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f13504])).
% 27.53/3.87 fof(f13506,plain,(
% 27.53/3.87 ~spl0_170),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f13505])).
% 27.53/3.87 fof(f13532,plain,(
% 27.53/3.87 ![X0,X1]: (hBOOL(hAPP(c_Relation_OField(c_Relation_OId(X0),X0),X1)))),
% 27.53/3.87 inference(backward_demodulation,[status(thm)],[f12867,f8046])).
% 27.53/3.87 fof(f13533,plain,(
% 27.53/3.87 ![X0,X1,X2]: (c_in(X0,c_Relation_OField(c_Relation_OId(X1),X1),X2))),
% 27.53/3.87 inference(backward_demodulation,[status(thm)],[f12867,f8045])).
% 27.53/3.87 fof(f14108,plain,(
% 27.53/3.87 spl0_199 <=> c_lessequals(c_Relation_OField(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)),c_Relation_OField(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_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f14110,plain,(
% 27.53/3.87 ~c_lessequals(c_Relation_OField(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)),c_Relation_OField(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_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool))|spl0_199),
% 27.53/3.87 inference(component_clause,[status(thm)],[f14108])).
% 27.53/3.87 fof(f14184,plain,(
% 27.53/3.87 $false|spl0_199),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f14110,f999])).
% 27.53/3.87 fof(f14185,plain,(
% 27.53/3.87 spl0_199),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f14184])).
% 27.53/3.87 fof(f14396,plain,(
% 27.53/3.87 $false|~spl0_158),
% 27.53/3.87 inference(resolution,[status(thm)],[f10708,f7822])).
% 27.53/3.87 fof(f14397,plain,(
% 27.53/3.87 ~spl0_158),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f14396])).
% 27.53/3.87 fof(f14654,plain,(
% 27.53/3.87 spl0_208 <=> c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f14656,plain,(
% 27.53/3.87 ~c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|spl0_208),
% 27.53/3.87 inference(component_clause,[status(thm)],[f14654])).
% 27.53/3.87 fof(f14664,plain,(
% 27.53/3.87 spl0_209 <=> c_Lattices_Olower__semilattice__class_Oinf(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f14666,plain,(
% 27.53/3.87 ~c_Lattices_Olower__semilattice__class_Oinf(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|spl0_209),
% 27.53/3.87 inference(component_clause,[status(thm)],[f14664])).
% 27.53/3.87 fof(f14730,plain,(
% 27.53/3.87 ~v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|spl0_209),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1406,f14666])).
% 27.53/3.87 fof(f14731,plain,(
% 27.53/3.87 $false|spl0_209),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f14730])).
% 27.53/3.87 fof(f14732,plain,(
% 27.53/3.87 spl0_209),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f14731])).
% 27.53/3.87 fof(f14733,plain,(
% 27.53/3.87 ~v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|spl0_208),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1401,f14656])).
% 27.53/3.87 fof(f14734,plain,(
% 27.53/3.87 $false|spl0_208),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f14733])).
% 27.53/3.87 fof(f14735,plain,(
% 27.53/3.87 spl0_208),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f14734])).
% 27.53/3.87 fof(f15099,plain,(
% 27.53/3.87 ![X0]: (hBOOL(hAPP(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f902,f4477])).
% 27.53/3.87 fof(f15100,plain,(
% 27.53/3.87 ![X0,X1]: (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),X1))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f902,f4469])).
% 27.53/3.87 fof(f15560,plain,(
% 27.53/3.87 $false|~spl0_197),
% 27.53/3.87 inference(resolution,[status(thm)],[f13478,f12918])).
% 27.53/3.87 fof(f15561,plain,(
% 27.53/3.87 ~spl0_197),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f15560])).
% 27.53/3.87 fof(f15562,plain,(
% 27.53/3.87 $false|~spl0_195),
% 27.53/3.87 inference(resolution,[status(thm)],[f13454,f12917])).
% 27.53/3.87 fof(f15563,plain,(
% 27.53/3.87 ~spl0_195),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f15562])).
% 27.53/3.87 fof(f15763,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
% 27.53/3.87 inference(resolution,[status(thm)],[f15100,f3630])).
% 27.53/3.87 fof(f15764,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1562,f15763])).
% 27.53/3.87 fof(f15776,plain,(
% 27.53/3.87 ![X0,X1]: (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),X1))),
% 27.53/3.87 inference(resolution,[status(thm)],[f15099,f12790])).
% 27.53/3.87 fof(f15785,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
% 27.53/3.87 inference(resolution,[status(thm)],[f15776,f3630])).
% 27.53/3.87 fof(f15786,plain,(
% 27.53/3.87 ![X0]: (c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1562,f15785])).
% 27.53/3.87 fof(f16052,plain,(
% 27.53/3.87 $false|~spl0_135),
% 27.53/3.87 inference(resolution,[status(thm)],[f9894,f747])).
% 27.53/3.87 fof(f16053,plain,(
% 27.53/3.87 ~spl0_135),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f16052])).
% 27.53/3.87 fof(f16056,plain,(
% 27.53/3.87 $false|~spl0_134),
% 27.53/3.87 inference(resolution,[status(thm)],[f9879,f613])).
% 27.53/3.87 fof(f16057,plain,(
% 27.53/3.87 ~spl0_134),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f16056])).
% 27.53/3.87 fof(f21023,plain,(
% 27.53/3.87 spl0_247 <=> ~c_in(X0,X1,X2)),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f21024,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~c_in(X0,X1,X2)|~spl0_247)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f21023])).
% 27.53/3.87 fof(f21083,plain,(
% 27.53/3.87 spl0_251 <=> ~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f21084,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_251)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f21083])).
% 27.53/3.87 fof(f21117,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Otrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_251)),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1562,f21084])).
% 27.53/3.87 fof(f21118,plain,(
% 27.53/3.87 ~v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_251),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f15764,f21117])).
% 27.53/3.87 fof(f21119,plain,(
% 27.53/3.87 $false|~spl0_251),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f21118])).
% 27.53/3.87 fof(f21120,plain,(
% 27.53/3.87 ~spl0_251),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f21119])).
% 27.53/3.87 fof(f21306,plain,(
% 27.53/3.87 spl0_265 <=> ~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f21307,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_265)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f21306])).
% 27.53/3.87 fof(f21340,plain,(
% 27.53/3.87 ![X0]: (~c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Complete__Lattice_OInf__class_OInf(c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_OLin,X0),tc_bool),tc_bool)=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_265)),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1562,f21307])).
% 27.53/3.87 fof(f21341,plain,(
% 27.53/3.87 ~v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1|~spl0_265),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f15786,f21340])).
% 27.53/3.87 fof(f21342,plain,(
% 27.53/3.87 $false|~spl0_265),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f21341])).
% 27.53/3.87 fof(f21343,plain,(
% 27.53/3.87 ~spl0_265),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f21342])).
% 27.53/3.87 fof(f21886,plain,(
% 27.53/3.87 ![X0,X1,X2,X3,X4]: (c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X0,X1,X2,X3,X4),X0,X3)|~spl0_247)),
% 27.53/3.87 inference(backward_subsumption_resolution,[status(thm)],[f916,f21024])).
% 27.53/3.87 fof(f21887,plain,(
% 27.53/3.87 $false|~spl0_247),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f21886,f21024])).
% 27.53/3.87 fof(f21888,plain,(
% 27.53/3.87 ~spl0_247),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f21887])).
% 27.53/3.87 fof(f23146,plain,(
% 27.53/3.87 spl0_289 <=> ~c_lessequals(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(X0,tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f23147,plain,(
% 27.53/3.87 ![X0]: (~c_lessequals(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(X0,tc_bool))|~spl0_289)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f23146])).
% 27.53/3.87 fof(f23157,plain,(
% 27.53/3.87 $false|~spl0_289),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f23147,f999])).
% 27.53/3.87 fof(f23158,plain,(
% 27.53/3.87 ~spl0_289),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f23157])).
% 27.53/3.87 fof(f24105,plain,(
% 27.53/3.87 spl0_314 <=> c_Set_Oinsert(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f24107,plain,(
% 27.53/3.87 ~c_Set_Oinsert(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|spl0_314),
% 27.53/3.87 inference(component_clause,[status(thm)],[f24105])).
% 27.53/3.87 fof(f24110,plain,(
% 27.53/3.87 spl0_315 <=> ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(X0,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_COMBK(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~hBOOL(X0)),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f24111,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(X0,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_COMBK(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~hBOOL(X0)|~spl0_315)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f24110])).
% 27.53/3.87 fof(f24121,plain,(
% 27.53/3.87 spl0_316 <=> ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OField(c_Relation_OId(X0),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f24122,plain,(
% 27.53/3.87 ![X0]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OField(c_Relation_OId(X0),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_316)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f24121])).
% 27.53/3.87 fof(f24147,plain,(
% 27.53/3.87 $false|spl0_314),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f24107])).
% 27.53/3.87 fof(f24148,plain,(
% 27.53/3.87 spl0_314),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f24147])).
% 27.53/3.87 fof(f24150,plain,(
% 27.53/3.87 ![X0]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OField(c_Relation_OId(X0),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_316)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f24122])).
% 27.53/3.87 fof(f24151,plain,(
% 27.53/3.87 $false|~spl0_316),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f24150,f13533])).
% 27.53/3.87 fof(f24152,plain,(
% 27.53/3.87 ~spl0_316),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f24151])).
% 27.53/3.87 fof(f24153,plain,(
% 27.53/3.87 ![X0,X1,X2]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(X0,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(X0)|~spl0_315)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f24111])).
% 27.53/3.87 fof(f24154,plain,(
% 27.53/3.87 ![X0]: (~hBOOL(X0)|~spl0_315)),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f24153,f1464])).
% 27.53/3.87 fof(f24205,plain,(
% 27.53/3.87 $false|~spl0_315),
% 27.53/3.87 inference(backward_subsumption_resolution,[status(thm)],[f2330,f24154])).
% 27.53/3.87 fof(f24206,plain,(
% 27.53/3.87 ~spl0_315),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f24205])).
% 27.53/3.87 fof(f26286,plain,(
% 27.53/3.87 spl0_358 <=> c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))=c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f26288,plain,(
% 27.53/3.87 ~c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))=c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_358),
% 27.53/3.87 inference(component_clause,[status(thm)],[f26286])).
% 27.53/3.87 fof(f26322,plain,(
% 27.53/3.87 $false|spl0_358),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f26288])).
% 27.53/3.87 fof(f26323,plain,(
% 27.53/3.87 spl0_358),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f26322])).
% 27.53/3.87 fof(f26350,plain,(
% 27.53/3.87 ![X0,X1,X2,X3]: (c_in(X0,c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X1,X2),X3))),
% 27.53/3.87 inference(paramodulation,[status(thm)],[f2339,f1543])).
% 27.53/3.87 fof(f30072,plain,(
% 27.53/3.87 spl0_368 <=> ~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f30073,plain,(
% 27.53/3.87 ![X0,X1]: (~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_368)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f30072])).
% 27.53/3.87 fof(f30095,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_368)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f30073])).
% 27.53/3.87 fof(f30096,plain,(
% 27.53/3.87 $false|~spl0_368),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f30095,f1463])).
% 27.53/3.87 fof(f30097,plain,(
% 27.53/3.87 ~spl0_368),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f30096])).
% 27.53/3.87 fof(f30099,plain,(
% 27.53/3.87 spl0_369 <=> ~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f30100,plain,(
% 27.53/3.87 ![X0,X1]: (~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_369)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f30099])).
% 27.53/3.87 fof(f30122,plain,(
% 27.53/3.87 $false|~spl0_369),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f30100])).
% 27.53/3.87 fof(f30123,plain,(
% 27.53/3.87 ~spl0_369),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f30122])).
% 27.53/3.87 fof(f30597,plain,(
% 27.53/3.87 spl0_371 <=> ~hBOOL(hAPP(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f30598,plain,(
% 27.53/3.87 ![X0,X1]: (~hBOOL(hAPP(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_371)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f30597])).
% 27.53/3.87 fof(f30613,plain,(
% 27.53/3.87 spl0_373 <=> ~hBOOL(hAPP(c_Relation_OField(c_Relation_OId(X0),X0),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f30614,plain,(
% 27.53/3.87 ![X0]: (~hBOOL(hAPP(c_Relation_OField(c_Relation_OId(X0),X0),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Relation_OField(c_Relation_OId(X0),X0),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_373)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f30613])).
% 27.53/3.87 fof(f30635,plain,(
% 27.53/3.87 ![X0]: (~hBOOL(hAPP(c_Relation_OField(c_Relation_OId(X0),X0),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_373)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f30614])).
% 27.53/3.87 fof(f30636,plain,(
% 27.53/3.87 $false|~spl0_373),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f30635,f13532])).
% 27.53/3.87 fof(f30637,plain,(
% 27.53/3.87 ~spl0_373),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f30636])).
% 27.53/3.87 fof(f30640,plain,(
% 27.53/3.87 ![X0,X1]: (~hBOOL(hAPP(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,X1),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_371)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f30598])).
% 27.53/3.87 fof(f30641,plain,(
% 27.53/3.87 $false|~spl0_371),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f30640,f844])).
% 27.53/3.87 fof(f30642,plain,(
% 27.53/3.87 ~spl0_371),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f30641])).
% 27.53/3.87 fof(f31852,plain,(
% 27.53/3.87 spl0_399 <=> ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(X1,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(X1,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f31853,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(X1,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(X1,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_399)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f31852])).
% 27.53/3.87 fof(f31896,plain,(
% 27.53/3.87 ![X0]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_399)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f31853])).
% 27.53/3.87 fof(f31897,plain,(
% 27.53/3.87 $false|~spl0_399),
% 27.53/3.87 inference(forward_subsumption_resolution,[status(thm)],[f31896,f1463])).
% 27.53/3.87 fof(f31898,plain,(
% 27.53/3.87 ~spl0_399),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f31897])).
% 27.53/3.87 fof(f31968,plain,(
% 27.53/3.87 spl0_404 <=> c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Relation_OImage(c_Relation_OId(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_OLin,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_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f31970,plain,(
% 27.53/3.87 ~c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Relation_OImage(c_Relation_OId(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_OLin,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_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|spl0_404),
% 27.53/3.87 inference(component_clause,[status(thm)],[f31968])).
% 27.53/3.87 fof(f31978,plain,(
% 27.53/3.87 ~c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|spl0_404),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f1140,f31970])).
% 27.53/3.87 fof(f31979,plain,(
% 27.53/3.87 ~c_Arrow__Order__Mirabelle_OLin=c_Set_Oinsert(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|spl0_404),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f2339,f31978])).
% 27.53/3.87 fof(f31980,plain,(
% 27.53/3.87 ~c_Arrow__Order__Mirabelle_OLin=c_Arrow__Order__Mirabelle_OLin|spl0_404),
% 27.53/3.87 inference(forward_demodulation,[status(thm)],[f2339,f31979])).
% 27.53/3.87 fof(f31981,plain,(
% 27.53/3.87 $false|spl0_404),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f31980])).
% 27.53/3.87 fof(f31982,plain,(
% 27.53/3.87 spl0_404),
% 27.53/3.87 inference(contradiction_clause,[status(thm)],[f31981])).
% 27.53/3.87 fof(f32918,plain,(
% 27.53/3.87 ![X0,X1]: (X0=X1|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_1)),
% 27.53/3.87 inference(resolution,[status(thm)],[f1229,f1385])).
% 27.53/3.87 fof(f32960,plain,(
% 27.53/3.87 spl0_478 <=> ~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f32961,plain,(
% 27.53/3.87 ![X0,X1]: (~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_478)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f32960])).
% 27.53/3.87 fof(f32965,plain,(
% 27.53/3.87 spl0_479 <=> ~hBOOL(hAPP(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f32966,plain,(
% 27.53/3.87 ![X0,X1]: (~hBOOL(hAPP(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_479)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f32965])).
% 27.53/3.87 fof(f32978,plain,(
% 27.53/3.87 spl0_480 <=> ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
% 27.53/3.87 introduced(split_symbol_definition)).
% 27.53/3.87 fof(f32979,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_480)),
% 27.53/3.87 inference(component_clause,[status(thm)],[f32978])).
% 27.53/3.87 fof(f32986,plain,(
% 27.53/3.87 ![X0,X1]: (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_480)),
% 27.53/3.87 inference(trivial_equality_resolution,[status(esa)],[f32979])).
% 27.53/3.87 fof(f32987,plain,(
% 27.53/3.87 $false|~spl0_480),
% 28.01/3.92 inference(forward_subsumption_resolution,[status(thm)],[f32986,f26350])).
% 28.01/3.92 fof(f32988,plain,(
% 28.01/3.92 ~spl0_480),
% 28.01/3.92 inference(contradiction_clause,[status(thm)],[f32987])).
% 28.01/3.92 fof(f32989,plain,(
% 28.01/3.92 ![X0,X1]: (~hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1))|~c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_COMBK(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~spl0_479)),
% 28.01/3.92 inference(forward_demodulation,[status(thm)],[f1027,f32966])).
% 28.01/3.92 fof(f32990,plain,(
% 28.01/3.92 ~hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1))|~spl0_479),
% 28.01/3.92 inference(trivial_equality_resolution,[status(esa)],[f32989])).
% 28.01/3.92 fof(f32991,plain,(
% 28.01/3.92 $false|~spl0_479),
% 28.01/3.92 inference(forward_subsumption_resolution,[status(thm)],[f32990,f2330])).
% 28.01/3.92 fof(f32992,plain,(
% 28.01/3.92 ~spl0_479),
% 28.01/3.92 inference(contradiction_clause,[status(thm)],[f32991])).
% 28.01/3.92 fof(f32993,plain,(
% 28.01/3.92 $false|~spl0_478),
% 28.01/3.92 inference(trivial_equality_resolution,[status(esa)],[f32961])).
% 28.01/3.92 fof(f32994,plain,(
% 28.01/3.92 ~spl0_478),
% 28.01/3.92 inference(contradiction_clause,[status(thm)],[f32993])).
% 28.01/3.92 fof(f33082,plain,(
% 28.01/3.92 v_a____=v_b____|v_a____=v_b____|~spl0_1),
% 28.01/3.92 inference(resolution,[status(thm)],[f32918,f1228])).
% 28.01/3.92 fof(f33083,plain,(
% 28.01/3.92 spl0_118|~spl0_1),
% 28.01/3.92 inference(split_clause,[status(thm)],[f33082,f7401,f1384])).
% 28.01/3.92 fof(f33087,plain,(
% 28.01/3.92 $false),
% 28.01/3.92 inference(sat_refutation,[status(thm)],[f1387,f1412,f7486,f9173,f12075,f13502,f13506,f14185,f14397,f14732,f14735,f15561,f15563,f16053,f16057,f21120,f21343,f21888,f23158,f24148,f24152,f24206,f26323,f30097,f30123,f30637,f30642,f31898,f31982,f32988,f32992,f32994,f33083])).
% 28.01/3.92 % SZS output end CNFRefutation for theBenchmark.p
% 28.24/3.95 % Elapsed time: 3.594798 seconds
% 28.24/3.95 % CPU time: 27.990042 seconds
% 28.24/3.95 % Memory used: 571.958 MB
%------------------------------------------------------------------------------