TSTP Solution File: SCT020-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT020-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SCT020-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 09:37:31 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.11/0.31 % Drodi V3.5.1
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.33 fof(f670,axiom,(
% 0.11/0.33 (![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) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f672,axiom,(
% 0.11/0.33 (![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) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f675,axiom,(
% 0.11/0.33 (![V_x,T_a]: (hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f676,axiom,(
% 0.11/0.33 (![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) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f677,axiom,(
% 0.11/0.33 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f678,axiom,(
% 0.11/0.33 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f679,negated_conjecture,(
% 0.11/0.33 (![V_x]: (c_Relation_Otrans(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f680,negated_conjecture,(
% 0.11/0.33 (![V_x]: (c_Relation_Oirrefl(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f681,negated_conjecture,(
% 0.11/0.33 (![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) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f682,negated_conjecture,(
% 0.11/0.33 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))) ),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f683,negated_conjecture,(
% 0.11/0.33 ~ 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))) ),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f684,negated_conjecture,(
% 0.11/0.33 (![V_xa]: (( c_Relation_Otrans(v_F(V_xa),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_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Oirrefl(hAPP(V_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Otrans(hAPP(V_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f685,negated_conjecture,(
% 0.11/0.33 (![V_xa]: (( c_Relation_Oirrefl(v_F(V_xa),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_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Oirrefl(hAPP(V_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt)| ~ c_Relation_Otrans(hAPP(V_xa,hAPP(v_x,V_xa)),tc_Arrow__Order__Mirabelle_Oalt) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f687,negated_conjecture,(
% 0.11/0.33 (![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) ) ))),
% 0.11/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.33 fof(f1701,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f670])).
% 0.11/0.33 fof(f1702,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1701])).
% 0.11/0.33 fof(f1705,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f672])).
% 0.11/0.33 fof(f1706,plain,(
% 0.11/0.33 ![X0,X1,X2]: (~hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))|~c_Relation_Oirrefl(X2,X1))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1705])).
% 0.11/0.33 fof(f1709,plain,(
% 0.11/0.33 ![X0,X1]: (hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f675])).
% 0.11/0.33 fof(f1710,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f676])).
% 0.11/0.33 fof(f1711,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1710])).
% 0.11/0.33 fof(f1712,plain,(
% 0.11/0.33 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f677])).
% 0.11/0.33 fof(f1713,plain,(
% 0.11/0.33 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1712])).
% 0.11/0.33 fof(f1714,plain,(
% 0.11/0.33 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f678])).
% 0.11/0.33 fof(f1715,plain,(
% 0.11/0.33 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1714])).
% 0.11/0.33 fof(f1716,plain,(
% 0.11/0.33 ![X0]: (c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f679])).
% 0.11/0.33 fof(f1717,plain,(
% 0.11/0.33 ![X0]: (c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f680])).
% 0.11/0.33 fof(f1718,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f681])).
% 0.11/0.33 fof(f1719,plain,(
% 0.11/0.33 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)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f682])).
% 0.11/0.33 fof(f1720,plain,(
% 0.11/0.33 ~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)))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f683])).
% 0.11/0.33 fof(f1721,plain,(
% 0.11/0.33 ![X0]: (c_Relation_Otrans(v_F(X0),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f684])).
% 0.11/0.33 fof(f1722,plain,(
% 0.11/0.33 ![X0]: (c_Relation_Oirrefl(v_F(X0),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(X0,hAPP(v_x,X0)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f685])).
% 0.11/0.33 fof(f1724,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(miniscoping,[status(esa)],[f687])).
% 0.11/0.33 fof(f1725,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(cnf_transformation,[status(esa)],[f1724])).
% 0.11/0.33 fof(f1767,plain,(
% 0.11/0.33 spl0_0 <=> c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1770,plain,(
% 0.11/0.33 spl0_1 <=> c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1772,plain,(
% 0.11/0.33 ~c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_1),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1770])).
% 0.11/0.33 fof(f1773,plain,(
% 0.11/0.33 spl0_2 <=> c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1775,plain,(
% 0.11/0.33 ~c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_2),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1773])).
% 0.11/0.33 fof(f1776,plain,(
% 0.11/0.33 c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 inference(resolution,[status(thm)],[f1721,f1718])).
% 0.11/0.33 fof(f1777,plain,(
% 0.11/0.33 spl0_0|~spl0_1|~spl0_2),
% 0.11/0.33 inference(split_clause,[status(thm)],[f1776,f1767,f1770,f1773])).
% 0.11/0.33 fof(f1778,plain,(
% 0.11/0.33 $false|spl0_2),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1775,f1716])).
% 0.11/0.33 fof(f1779,plain,(
% 0.11/0.33 spl0_2),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f1778])).
% 0.11/0.33 fof(f1780,plain,(
% 0.11/0.33 $false|spl0_1),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1772,f1717])).
% 0.11/0.33 fof(f1781,plain,(
% 0.11/0.33 spl0_1),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f1780])).
% 0.11/0.33 fof(f1783,plain,(
% 0.11/0.33 hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1715,f1719])).
% 0.11/0.33 fof(f1785,plain,(
% 0.11/0.33 spl0_3 <=> c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1788,plain,(
% 0.11/0.33 c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)|~c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 inference(resolution,[status(thm)],[f1722,f1718])).
% 0.11/0.33 fof(f1789,plain,(
% 0.11/0.33 spl0_3|~spl0_1|~spl0_2),
% 0.11/0.33 inference(split_clause,[status(thm)],[f1788,f1785,f1770,f1773])).
% 0.11/0.33 fof(f1800,plain,(
% 0.11/0.33 spl0_6 <=> c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1802,plain,(
% 0.11/0.33 ~c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_6),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1800])).
% 0.11/0.33 fof(f1803,plain,(
% 0.11/0.33 spl0_7 <=> c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1805,plain,(
% 0.11/0.33 ~c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)|spl0_7),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1803])).
% 0.11/0.33 fof(f1808,plain,(
% 0.11/0.33 $false|spl0_7),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1805,f1716])).
% 0.11/0.33 fof(f1809,plain,(
% 0.11/0.33 spl0_7),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f1808])).
% 0.11/0.33 fof(f1810,plain,(
% 0.11/0.33 $false|spl0_6),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1802,f1717])).
% 0.11/0.33 fof(f1811,plain,(
% 0.11/0.33 spl0_6),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f1810])).
% 0.11/0.33 fof(f1913,plain,(
% 0.11/0.33 ![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))))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1702,f1713])).
% 0.11/0.33 fof(f1922,plain,(
% 0.11/0.33 ![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))))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1913,f1713])).
% 0.11/0.33 fof(f1936,plain,(
% 0.11/0.33 ![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))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1922,f1706])).
% 0.11/0.33 fof(f1940,plain,(
% 0.11/0.33 spl0_21 <=> hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1942,plain,(
% 0.11/0.33 ~hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|spl0_21),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1940])).
% 0.11/0.33 fof(f1943,plain,(
% 0.11/0.33 ~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)),
% 0.11/0.33 inference(resolution,[status(thm)],[f1936,f1783])).
% 0.11/0.33 fof(f1944,plain,(
% 0.11/0.33 ~spl0_0|~spl0_21|~spl0_3),
% 0.11/0.33 inference(split_clause,[status(thm)],[f1943,f1767,f1940,f1785])).
% 0.11/0.33 fof(f1967,plain,(
% 0.11/0.33 spl0_24 <=> v_a=v_b),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1968,plain,(
% 0.11/0.33 v_a=v_b|~spl0_24),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1967])).
% 0.11/0.33 fof(f1970,plain,(
% 0.11/0.33 spl0_25 <=> ~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)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1971,plain,(
% 0.11/0.33 ![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_25)),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1970])).
% 0.11/0.33 fof(f1975,plain,(
% 0.11/0.33 ![X0,X1,X2,X3]: (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)))|X1=X0|~hBOOL(c_in(X0,X3,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(X1,X3,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Ototal__on(X3,hAPP(X2,v_i),tc_Arrow__Order__Mirabelle_Oalt)|hBOOL(c_in(c_Pair(X1,X0,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)))|X1=X0|~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))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1711,f1725])).
% 0.11/0.33 fof(f1976,plain,(
% 0.11/0.33 ![X0,X1,X2,X3]: (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)))|X1=X0|~hBOOL(c_in(X0,X3,tc_Arrow__Order__Mirabelle_Oalt))|~hBOOL(c_in(X1,X3,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Ototal__on(X3,hAPP(X2,v_i),tc_Arrow__Order__Mirabelle_Oalt)|hBOOL(c_in(c_Pair(X1,X0,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)))|~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))),
% 0.11/0.33 inference(duplicate_literals_removal,[status(esa)],[f1975])).
% 0.11/0.33 fof(f1980,plain,(
% 0.11/0.33 spl0_26 <=> hBOOL(c_in(c_Pair(v_b,v_a,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)))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1981,plain,(
% 0.11/0.33 hBOOL(c_in(c_Pair(v_b,v_a,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)))|~spl0_26),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1980])).
% 0.11/0.33 fof(f1983,plain,(
% 0.11/0.33 spl0_27 <=> 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)),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f1985,plain,(
% 0.11/0.33 ~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)|spl0_27),
% 0.11/0.33 inference(component_clause,[status(thm)],[f1983])).
% 0.11/0.33 fof(f1986,plain,(
% 0.11/0.33 ![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(c_in(c_Pair(v_b,v_a,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)))|~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))),
% 0.11/0.33 inference(resolution,[status(thm)],[f1976,f1720])).
% 0.11/0.33 fof(f1987,plain,(
% 0.11/0.33 spl0_24|spl0_25|spl0_26|~spl0_27|~spl0_6|~spl0_7),
% 0.11/0.33 inference(split_clause,[status(thm)],[f1986,f1967,f1970,f1980,f1983,f1800,f1803])).
% 0.11/0.33 fof(f2003,plain,(
% 0.11/0.33 $false|spl0_27),
% 0.11/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1985,f1718])).
% 0.11/0.33 fof(f2004,plain,(
% 0.11/0.33 spl0_27),
% 0.11/0.33 inference(contradiction_clause,[status(thm)],[f2003])).
% 0.11/0.33 fof(f2056,plain,(
% 0.11/0.33 spl0_31 <=> hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f2058,plain,(
% 0.11/0.33 ~hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|spl0_31),
% 0.11/0.33 inference(component_clause,[status(thm)],[f2056])).
% 0.11/0.33 fof(f2059,plain,(
% 0.11/0.33 spl0_32 <=> hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.11/0.33 introduced(split_symbol_definition)).
% 0.11/0.33 fof(f2061,plain,(
% 0.11/0.33 ~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_32),
% 0.11/0.33 inference(component_clause,[status(thm)],[f2059])).
% 0.11/0.33 fof(f2062,plain,(
% 0.11/0.33 ~hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))|~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_25),
% 0.11/0.56 inference(resolution,[status(thm)],[f1971,f1718])).
% 0.11/0.56 fof(f2063,plain,(
% 0.11/0.56 ~spl0_31|~spl0_32|~spl0_25),
% 0.11/0.56 inference(split_clause,[status(thm)],[f2062,f2056,f2059,f1970])).
% 0.11/0.56 fof(f2064,plain,(
% 0.11/0.56 $false|spl0_32),
% 0.11/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2061,f1709])).
% 0.11/0.56 fof(f2065,plain,(
% 0.11/0.56 spl0_32),
% 0.11/0.56 inference(contradiction_clause,[status(thm)],[f2064])).
% 0.11/0.56 fof(f2066,plain,(
% 0.11/0.56 $false|spl0_31),
% 0.11/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2058,f1709])).
% 0.11/0.56 fof(f2067,plain,(
% 0.11/0.56 spl0_31),
% 0.11/0.56 inference(contradiction_clause,[status(thm)],[f2066])).
% 0.11/0.56 fof(f2068,plain,(
% 0.11/0.56 ~hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_24|spl0_21),
% 0.11/0.56 inference(backward_demodulation,[status(thm)],[f1968,f1942])).
% 0.11/0.56 fof(f2070,plain,(
% 0.11/0.56 hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_24),
% 0.11/0.56 inference(backward_demodulation,[status(thm)],[f1968,f1783])).
% 0.11/0.56 fof(f2073,plain,(
% 0.11/0.56 $false|spl0_21|~spl0_24),
% 0.11/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2070,f2068])).
% 0.11/0.56 fof(f2074,plain,(
% 0.11/0.56 spl0_21|~spl0_24),
% 0.11/0.56 inference(contradiction_clause,[status(thm)],[f2073])).
% 0.11/0.56 fof(f2103,plain,(
% 0.11/0.56 hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_26),
% 0.11/0.56 inference(resolution,[status(thm)],[f1981,f1715])).
% 0.11/0.56 fof(f2104,plain,(
% 0.11/0.56 $false|spl0_21|~spl0_26),
% 0.11/0.56 inference(forward_subsumption_resolution,[status(thm)],[f2103,f1942])).
% 0.11/0.56 fof(f2105,plain,(
% 0.11/0.56 spl0_21|~spl0_26),
% 0.11/0.56 inference(contradiction_clause,[status(thm)],[f2104])).
% 0.11/0.56 fof(f2106,plain,(
% 0.11/0.56 $false),
% 0.11/0.56 inference(sat_refutation,[status(thm)],[f1777,f1779,f1781,f1789,f1809,f1811,f1944,f1987,f2004,f2063,f2065,f2067,f2074,f2105])).
% 0.11/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.56 % Elapsed time: 0.078504 seconds
% 0.11/0.56 % CPU time: 0.082032 seconds
% 0.11/0.56 % Memory used: 9.371 MB
%------------------------------------------------------------------------------