TSTP Solution File: SCT021-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT021-1 : 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 12:33:05 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT021-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % 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 :
% 0.19/0.42 % Drodi V3.5.1
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.44 fof(f670,axiom,(
% 0.19/0.44 (![V_x,V_z,T_a,V_r,V_y]: (( hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ c_Relation_Otrans(V_r,T_a) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f672,axiom,(
% 0.19/0.44 (![V_x,T_a,V_r]: (( ~ hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ c_Relation_Oirrefl(V_r,T_a) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f675,axiom,(
% 0.19/0.44 (![V_x,T_a]: (hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f676,axiom,(
% 0.19/0.44 (![V_xa,V_x,T_a,V_r,V_A]: (( hBOOL(c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))| hBOOL(c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a)))| V_x = V_xa| ~ hBOOL(c_in(V_xa,V_A,T_a))| ~ hBOOL(c_in(V_x,V_A,T_a))| ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f677,axiom,(
% 0.19/0.44 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f678,axiom,(
% 0.19/0.44 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f679,negated_conjecture,(
% 0.19/0.44 (![V_x]: (c_Relation_Otrans(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f680,negated_conjecture,(
% 0.19/0.44 (![V_x]: (c_Relation_Oirrefl(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f681,negated_conjecture,(
% 0.19/0.44 (![V_x]: (c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f682,negated_conjecture,(
% 0.19/0.44 hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f683,negated_conjecture,(
% 0.19/0.44 ~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f684,negated_conjecture,(
% 0.19/0.44 ( c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f685,negated_conjecture,(
% 0.19/0.44 ( c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f687,negated_conjecture,(
% 0.19/0.44 (![V_a,V_b,V_P]: (( hBOOL(c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ hBOOL(c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| V_a = V_b| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Oirrefl(hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Otrans(hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt) ) ))),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f704,axiom,(
% 0.19/0.44 class_Lattices_Obounded__lattice(tc_bool) ),
% 0.19/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f1701,plain,(
% 0.19/0.44 ![T_a,V_r]: ((![V_x,V_y]: ((![V_z]: (hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~c_Relation_Otrans(V_r,T_a))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f670])).
% 0.19/0.44 fof(f1702,plain,(
% 0.19/0.44 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))|~c_Relation_Otrans(X3,X2))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1701])).
% 0.19/0.44 fof(f1705,plain,(
% 0.19/0.44 ![T_a,V_r]: ((![V_x]: ~hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))))|~c_Relation_Oirrefl(V_r,T_a))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f672])).
% 0.19/0.44 fof(f1706,plain,(
% 0.19/0.44 ![X0,X1,X2]: (~hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))|~c_Relation_Oirrefl(X2,X1))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1705])).
% 0.19/0.44 fof(f1709,plain,(
% 0.19/0.44 ![X0,X1]: (hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f675])).
% 0.19/0.44 fof(f1710,plain,(
% 0.19/0.44 ![T_a,V_r,V_A]: ((![V_x]: ((![V_xa]: (((hBOOL(c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))|hBOOL(c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))))|V_x=V_xa)|~hBOOL(c_in(V_xa,V_A,T_a))))|~hBOOL(c_in(V_x,V_A,T_a))))|~c_Relation_Ototal__on(V_A,V_r,T_a))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f676])).
% 0.19/0.44 fof(f1711,plain,(
% 0.19/0.44 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|hBOOL(c_in(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)))|X1=X0|~hBOOL(c_in(X0,X4,X2))|~hBOOL(c_in(X1,X4,X2))|~c_Relation_Ototal__on(X4,X3,X2))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1710])).
% 0.19/0.44 fof(f1712,plain,(
% 0.19/0.44 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f677])).
% 0.19/0.44 fof(f1713,plain,(
% 0.19/0.44 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1712])).
% 0.19/0.44 fof(f1714,plain,(
% 0.19/0.44 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f678])).
% 0.19/0.44 fof(f1715,plain,(
% 0.19/0.44 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1714])).
% 0.19/0.44 fof(f1716,plain,(
% 0.19/0.44 ![X0]: (c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f679])).
% 0.19/0.44 fof(f1717,plain,(
% 0.19/0.44 ![X0]: (c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f680])).
% 0.19/0.44 fof(f1718,plain,(
% 0.19/0.44 ![X0]: (c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f681])).
% 0.19/0.44 fof(f1719,plain,(
% 0.19/0.44 hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f682])).
% 0.19/0.44 fof(f1720,plain,(
% 0.19/0.44 ~hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f683])).
% 0.19/0.44 fof(f1721,plain,(
% 0.19/0.44 c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f684])).
% 0.19/0.44 fof(f1722,plain,(
% 0.19/0.44 c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f685])).
% 0.19/0.44 fof(f1724,plain,(
% 0.19/0.44 ![V_P]: ((((![V_a,V_b]: ((hBOOL(c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|V_a=V_b))|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Oirrefl(hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Otrans(hAPP(V_P,v_Pa(V_P)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f687])).
% 0.19/0.44 fof(f1725,plain,(
% 0.19/0.44 ![X0,X1,X2]: (hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f1724])).
% 0.19/0.44 fof(f1754,plain,(
% 0.19/0.44 class_Lattices_Obounded__lattice(tc_bool)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f704])).
% 0.19/0.44 fof(f1765,plain,(
% 0.19/0.44 spl0_0 <=> c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1768,plain,(
% 0.19/0.44 spl0_1 <=> c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1770,plain,(
% 0.19/0.44 ~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|spl0_1),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1768])).
% 0.19/0.44 fof(f1771,plain,(
% 0.19/0.44 spl0_2 <=> c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1773,plain,(
% 0.19/0.44 ~c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|spl0_2),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1771])).
% 0.19/0.44 fof(f1774,plain,(
% 0.19/0.44 spl0_3 <=> c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1776,plain,(
% 0.19/0.44 ~c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)|spl0_3),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1774])).
% 0.19/0.44 fof(f1777,plain,(
% 0.19/0.44 spl0_0|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.44 inference(split_clause,[status(thm)],[f1721,f1765,f1768,f1771,f1774])).
% 0.19/0.44 fof(f1778,plain,(
% 0.19/0.44 spl0_4 <=> c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1781,plain,(
% 0.19/0.44 spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.44 inference(split_clause,[status(thm)],[f1722,f1778,f1768,f1771,f1774])).
% 0.19/0.44 fof(f1789,plain,(
% 0.19/0.44 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(X0,v_i),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X1=X2|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1713,f1725])).
% 0.19/0.44 fof(f1790,plain,(
% 0.19/0.44 hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1715,f1719])).
% 0.19/0.44 fof(f1792,plain,(
% 0.19/0.44 $false|spl0_3),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1776,f1716])).
% 0.19/0.44 fof(f1793,plain,(
% 0.19/0.44 spl0_3),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f1792])).
% 0.19/0.44 fof(f1794,plain,(
% 0.19/0.44 $false|spl0_2),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1773,f1717])).
% 0.19/0.44 fof(f1795,plain,(
% 0.19/0.44 spl0_2),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f1794])).
% 0.19/0.44 fof(f1796,plain,(
% 0.19/0.44 $false|spl0_1),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1770,f1718])).
% 0.19/0.44 fof(f1797,plain,(
% 0.19/0.44 spl0_1),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f1796])).
% 0.19/0.44 fof(f1798,plain,(
% 0.19/0.44 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(X0,v_i),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X1=X2|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(X0,v_Pa(X0)),tc_Arrow__Order__Mirabelle_Oalt)|hBOOL(hAPP(v_F(X0),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1789,f1715])).
% 0.19/0.44 fof(f1799,plain,(
% 0.19/0.44 spl0_6 <=> ~hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|hBOOL(hAPP(v_F(v_P),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1800,plain,(
% 0.19/0.44 ![X0,X1]: (~hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|hBOOL(hAPP(v_F(v_P),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_6)),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1799])).
% 0.19/0.44 fof(f1802,plain,(
% 0.19/0.44 spl0_7 <=> c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1804,plain,(
% 0.19/0.44 ~c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_7),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1802])).
% 0.19/0.44 fof(f1805,plain,(
% 0.19/0.44 spl0_8 <=> c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1807,plain,(
% 0.19/0.44 ~c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_8),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1805])).
% 0.19/0.44 fof(f1808,plain,(
% 0.19/0.44 ![X0,X1]: (~hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|~c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|hBOOL(hAPP(v_F(v_P),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1798,f1718])).
% 0.19/0.44 fof(f1809,plain,(
% 0.19/0.44 spl0_6|~spl0_7|~spl0_8),
% 0.19/0.44 inference(split_clause,[status(thm)],[f1808,f1799,f1802,f1805])).
% 0.19/0.44 fof(f1810,plain,(
% 0.19/0.44 $false|spl0_8),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1807,f1716])).
% 0.19/0.44 fof(f1811,plain,(
% 0.19/0.44 spl0_8),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f1810])).
% 0.19/0.44 fof(f1812,plain,(
% 0.19/0.44 $false|spl0_7),
% 0.19/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1804,f1717])).
% 0.19/0.44 fof(f1813,plain,(
% 0.19/0.44 spl0_7),
% 0.19/0.44 inference(contradiction_clause,[status(thm)],[f1812])).
% 0.19/0.44 fof(f1905,plain,(
% 0.19/0.44 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))|~c_Relation_Otrans(X3,X2)|~hBOOL(hAPP(X3,c_Pair(X4,X1,X2,X2))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1702,f1713])).
% 0.19/0.44 fof(f1914,plain,(
% 0.19/0.44 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|~c_Relation_Otrans(X3,X2)|~hBOOL(hAPP(X3,c_Pair(X4,X1,X2,X2)))|~hBOOL(hAPP(X3,c_Pair(X0,X4,X2,X2))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1905,f1713])).
% 0.19/0.44 fof(f1928,plain,(
% 0.19/0.44 ![X0,X1,X2,X3]: (~c_Relation_Otrans(X0,X1)|~hBOOL(hAPP(X0,c_Pair(X2,X3,X1,X1)))|~hBOOL(hAPP(X0,c_Pair(X3,X2,X1,X1)))|~c_Relation_Oirrefl(X0,X1))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1914,f1706])).
% 0.19/0.44 fof(f1932,plain,(
% 0.19/0.44 spl0_22 <=> hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1934,plain,(
% 0.19/0.44 ~hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|spl0_22),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1932])).
% 0.19/0.44 fof(f1935,plain,(
% 0.19/0.44 ~c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|~hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 inference(resolution,[status(thm)],[f1928,f1790])).
% 0.19/0.44 fof(f1936,plain,(
% 0.19/0.44 ~spl0_0|~spl0_22|~spl0_4),
% 0.19/0.44 inference(split_clause,[status(thm)],[f1935,f1765,f1932,f1778])).
% 0.19/0.44 fof(f1959,plain,(
% 0.19/0.44 spl0_25 <=> v_a=v_b),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1960,plain,(
% 0.19/0.44 v_a=v_b|~spl0_25),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1959])).
% 0.19/0.44 fof(f1962,plain,(
% 0.19/0.44 spl0_26 <=> ~hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1963,plain,(
% 0.19/0.44 ![X0]: (~hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)|~spl0_26)),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1962])).
% 0.19/0.44 fof(f1971,plain,(
% 0.19/0.44 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|X1=X0|~hBOOL(c_in(X0,X4,X2))|~hBOOL(c_in(X1,X4,X2))|~c_Relation_Ototal__on(X4,X3,X2)|hBOOL(hAPP(X3,c_Pair(X1,X0,X2,X2))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1711,f1715])).
% 0.19/0.44 fof(f1972,plain,(
% 0.19/0.44 spl0_27 <=> hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f1973,plain,(
% 0.19/0.44 hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_27),
% 0.19/0.44 inference(component_clause,[status(thm)],[f1972])).
% 0.19/0.44 fof(f1975,plain,(
% 0.19/0.44 ![X0]: (v_b=v_a|~hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)|hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.19/0.44 inference(resolution,[status(thm)],[f1971,f1720])).
% 0.19/0.44 fof(f1976,plain,(
% 0.19/0.44 spl0_25|spl0_26|spl0_27),
% 0.19/0.44 inference(split_clause,[status(thm)],[f1975,f1959,f1962,f1972])).
% 0.19/0.44 fof(f2052,plain,(
% 0.19/0.44 spl0_33 <=> hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f2054,plain,(
% 0.19/0.44 ~hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|spl0_33),
% 0.19/0.44 inference(component_clause,[status(thm)],[f2052])).
% 0.19/0.44 fof(f2055,plain,(
% 0.19/0.44 spl0_34 <=> hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.44 introduced(split_symbol_definition)).
% 0.19/0.44 fof(f2057,plain,(
% 0.19/0.44 ~hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|spl0_34),
% 0.19/0.44 inference(component_clause,[status(thm)],[f2055])).
% 0.19/0.44 fof(f2058,plain,(
% 0.19/0.44 ~hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|~spl0_26),
% 0.19/0.44 inference(resolution,[status(thm)],[f1963,f1718])).
% 0.39/0.75 fof(f2059,plain,(
% 0.39/0.75 ~spl0_33|~spl0_34|~spl0_26),
% 0.39/0.75 inference(split_clause,[status(thm)],[f2058,f2052,f2055,f1962])).
% 0.39/0.75 fof(f2060,plain,(
% 0.39/0.75 $false|spl0_34),
% 0.39/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2057,f1709])).
% 0.39/0.75 fof(f2061,plain,(
% 0.39/0.75 spl0_34),
% 0.39/0.75 inference(contradiction_clause,[status(thm)],[f2060])).
% 0.39/0.75 fof(f2062,plain,(
% 0.39/0.75 $false|spl0_33),
% 0.39/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2054,f1709])).
% 0.39/0.75 fof(f2063,plain,(
% 0.39/0.75 spl0_33),
% 0.39/0.75 inference(contradiction_clause,[status(thm)],[f2062])).
% 0.39/0.75 fof(f2064,plain,(
% 0.39/0.75 ~hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_25|spl0_22),
% 0.39/0.75 inference(backward_demodulation,[status(thm)],[f1960,f1934])).
% 0.39/0.75 fof(f2066,plain,(
% 0.39/0.75 hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_25),
% 0.39/0.75 inference(backward_demodulation,[status(thm)],[f1960,f1790])).
% 0.39/0.75 fof(f2069,plain,(
% 0.39/0.75 $false|spl0_22|~spl0_25),
% 0.39/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2066,f2064])).
% 0.39/0.75 fof(f2070,plain,(
% 0.39/0.75 spl0_22|~spl0_25),
% 0.39/0.75 inference(contradiction_clause,[status(thm)],[f2069])).
% 0.39/0.75 fof(f2084,plain,(
% 0.39/0.75 spl0_37 <=> class_Lattices_Obounded__lattice(tc_bool)),
% 0.39/0.75 introduced(split_symbol_definition)).
% 0.39/0.75 fof(f2086,plain,(
% 0.39/0.75 ~class_Lattices_Obounded__lattice(tc_bool)|spl0_37),
% 0.39/0.75 inference(component_clause,[status(thm)],[f2084])).
% 0.39/0.75 fof(f2127,plain,(
% 0.39/0.75 $false|spl0_37),
% 0.39/0.75 inference(forward_subsumption_resolution,[status(thm)],[f2086,f1754])).
% 0.39/0.75 fof(f2128,plain,(
% 0.39/0.75 spl0_37),
% 0.39/0.75 inference(contradiction_clause,[status(thm)],[f2127])).
% 0.39/0.75 fof(f2132,plain,(
% 0.39/0.75 v_b=v_a|hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_27|~spl0_6),
% 0.39/0.75 inference(resolution,[status(thm)],[f1973,f1800])).
% 0.39/0.75 fof(f2133,plain,(
% 0.39/0.75 spl0_25|spl0_22|~spl0_27|~spl0_6),
% 0.39/0.75 inference(split_clause,[status(thm)],[f2132,f1959,f1932,f1972,f1799])).
% 0.39/0.75 fof(f2147,plain,(
% 0.39/0.75 $false),
% 0.39/0.75 inference(sat_refutation,[status(thm)],[f1777,f1781,f1793,f1795,f1797,f1809,f1811,f1813,f1936,f1976,f2059,f2061,f2063,f2070,f2128,f2133])).
% 0.39/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.39/0.75 % Elapsed time: 0.192149 seconds
% 0.39/0.75 % CPU time: 0.119954 seconds
% 0.39/0.75 % Memory used: 12.302 MB
%------------------------------------------------------------------------------