TSTP Solution File: SCT004-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT004-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Tue Apr 30 20:38:10 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT004-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.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 : Mon Apr 29 20:03:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.38 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.39 fof(f658,negated_conjecture,(
% 0.20/0.39 ( c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)| c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f661,negated_conjecture,(
% 0.20/0.39 (![V_xg,V_xc]: (( ~ hBOOL(c_in(c_Pair(V_xg,V_xg,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ hBOOL(c_in(c_Pair(V_xc,V_xc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ))),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f666,negated_conjecture,(
% 0.20/0.39 ( v_x != v_xa| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)| v_x != v_xa| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f671,negated_conjecture,(
% 0.20/0.39 ( ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)| ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f673,negated_conjecture,(
% 0.20/0.39 ( ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)| ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ) ),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f675,negated_conjecture,(
% 0.20/0.39 (![V_xh,V_yc,V_y,V_xb]: (( hBOOL(c_in(c_Pair(V_xh,V_yc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(V_yc,V_xh,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| V_xh = V_yc| hBOOL(c_in(c_Pair(V_y,V_xb,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| hBOOL(c_in(c_Pair(V_xb,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| V_xb = V_y ) ))),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f1668,plain,(
% 0.20/0.39 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f658])).
% 0.20/0.39 fof(f1673,plain,(
% 0.20/0.39 (![V_xg]: ~hBOOL(c_in(c_Pair(V_xg,V_xg,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|(![V_xc]: ~hBOOL(c_in(c_Pair(V_xc,V_xc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.20/0.39 inference(miniscoping,[status(esa)],[f661])).
% 0.20/0.39 fof(f1674,plain,(
% 0.20/0.39 ![X0,X1]: (~hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f1673])).
% 0.20/0.39 fof(f1682,plain,(
% 0.20/0.39 ~v_x=v_xa|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|~v_x=v_xa|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f666])).
% 0.20/0.39 fof(f1687,plain,(
% 0.20/0.39 ~hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|~hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f671])).
% 0.20/0.39 fof(f1689,plain,(
% 0.20/0.39 ~hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|~hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f673])).
% 0.20/0.39 fof(f1691,plain,(
% 0.20/0.39 ![V_y,V_xb]: ((((![V_xh,V_yc]: ((hBOOL(c_in(c_Pair(V_xh,V_yc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(V_yc,V_xh,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|V_xh=V_yc))|hBOOL(c_in(c_Pair(V_y,V_xb,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|hBOOL(c_in(c_Pair(V_xb,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|V_xb=V_y)),
% 0.20/0.39 inference(miniscoping,[status(esa)],[f675])).
% 0.20/0.39 fof(f1692,plain,(
% 0.20/0.39 ![X0,X1,X2,X3]: (hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|hBOOL(c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X3=X2)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f1691])).
% 0.20/0.39 fof(f1726,plain,(
% 0.20/0.39 spl0_0 <=> c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1729,plain,(
% 0.20/0.39 spl0_0),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1668,f1726])).
% 0.20/0.39 fof(f1730,plain,(
% 0.20/0.39 spl0_1 <=> ~hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1731,plain,(
% 0.20/0.39 ![X0]: (~hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_1)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1730])).
% 0.20/0.39 fof(f1735,plain,(
% 0.20/0.39 spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1674,f1730])).
% 0.20/0.39 fof(f1736,plain,(
% 0.20/0.39 spl0_2 <=> hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1737,plain,(
% 0.20/0.39 ![X0,X1]: (hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|X0=X1|~spl0_2)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1736])).
% 0.20/0.39 fof(f1743,plain,(
% 0.20/0.39 spl0_3 <=> v_x=v_xa),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1746,plain,(
% 0.20/0.39 spl0_4 <=> hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1747,plain,(
% 0.20/0.39 hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_4),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1746])).
% 0.20/0.39 fof(f1749,plain,(
% 0.20/0.39 ~spl0_3|spl0_4|~spl0_0),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1682,f1743,f1746,f1726])).
% 0.20/0.39 fof(f1750,plain,(
% 0.20/0.39 spl0_5 <=> hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1752,plain,(
% 0.20/0.39 ~hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|spl0_5),
% 0.20/0.39 inference(component_clause,[status(thm)],[f1750])).
% 0.20/0.39 fof(f1754,plain,(
% 0.20/0.39 spl0_6 <=> hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f1760,plain,(
% 0.20/0.39 ~spl0_6|spl0_4|~spl0_0),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1687,f1754,f1746,f1726])).
% 0.20/0.39 fof(f1762,plain,(
% 0.20/0.39 ~spl0_5|spl0_4|~spl0_0),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1689,f1750,f1746,f1726])).
% 0.20/0.39 fof(f1764,plain,(
% 0.20/0.39 spl0_2),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1692,f1736])).
% 0.20/0.39 fof(f1778,plain,(
% 0.20/0.39 hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|v_xa=v_x|~spl0_2|spl0_5),
% 0.20/0.39 inference(resolution,[status(thm)],[f1737,f1752])).
% 0.20/0.39 fof(f1779,plain,(
% 0.20/0.39 spl0_6|spl0_3|~spl0_2|spl0_5),
% 0.20/0.39 inference(split_clause,[status(thm)],[f1778,f1754,f1743,f1736,f1750])).
% 0.20/0.39 fof(f1787,plain,(
% 0.20/0.39 $false|~spl0_1|~spl0_4),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1747,f1731])).
% 0.20/0.39 fof(f1788,plain,(
% 0.20/0.39 ~spl0_1|~spl0_4),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f1787])).
% 0.20/0.39 fof(f1789,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f1729,f1735,f1749,f1760,f1762,f1764,f1779,f1788])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.060533 seconds
% 0.20/0.41 % CPU time: 0.101916 seconds
% 0.20/0.41 % Total memory used: 24.235 MB
% 0.20/0.41 % Net memory used: 24.177 MB
%------------------------------------------------------------------------------