0.10/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.12/0.33	% Computer   : n020.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 09:19:40 EDT 2019
0.12/0.33	% CPUTime    : 
58.31/58.55	% SZS status Theorem
58.31/58.55	
58.31/58.55	% SZS output start Proof
58.31/58.55	Take the following subset of the input axioms:
58.31/58.56	  fof(ax2_1249, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
58.31/58.56	  fof(ax2_1271, axiom, ![OBJ]: ~(partiallytangible(OBJ) & intangible(OBJ))).
58.31/58.56	  fof(ax2_1745, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
58.31/58.56	  fof(ax2_1803, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
58.31/58.56	  fof(ax2_2129, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL2) & (disjointwith(COL1, COL2) & isa(OBJ, COL1)))).
58.31/58.56	  fof(ax2_220, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
58.31/58.56	  fof(ax2_2346, axiom, ![OBJ]: ~(tptpcol_3_114688(OBJ) & tptpcol_3_98305(OBJ))).
58.31/58.56	  fof(ax2_2498, axiom, ![OBJ]: ~(waitinglist(OBJ) & partiallytangible(OBJ))).
58.31/58.56	  fof(ax2_2792, axiom, ![OBJ]: ~(thermalenergy(OBJ) & partiallytangible(OBJ))).
58.31/58.56	  fof(ax2_3089, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
58.31/58.56	  fof(ax2_3226, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
58.31/58.56	  fof(ax2_3854, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))).
58.31/58.56	  fof(ax2_3985, axiom, tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)) <= mtvisible(c_currentworlddatacollectormt_nonhomocentric)).
58.31/58.56	  fof(ax2_4279, axiom, ![OBJ]: ~(collection(OBJ) & set_mathematical(OBJ))).
58.31/58.56	  fof(ax2_4519, axiom, ![X, Y]: ~(temporaryparts(X, Y) & temporaryparts(Y, X))).
58.31/58.56	  fof(ax2_4520, axiom, ![X]: ~temporaryparts(X, X)).
58.31/58.56	  fof(ax2_4585, axiom, ![X, Y]: ~(along_underspecifiedpath(X, Y) & along_underspecifiedpath(Y, X))).
58.31/58.56	  fof(ax2_4586, axiom, ![X]: ~along_underspecifiedpath(X, X)).
58.31/58.56	  fof(ax2_4598, axiom, ![X, Y]: ~(typicallycomparestowrtslotfnlessthanbasicprice(Y, X) & typicallycomparestowrtslotfnlessthanbasicprice(X, Y))).
58.31/58.56	  fof(ax2_4599, axiom, ![X]: ~typicallycomparestowrtslotfnlessthanbasicprice(X, X)).
58.31/58.56	  fof(ax2_4627, axiom, ![X, Y]: ~(properphysicalparts(Y, X) & properphysicalparts(X, Y))).
58.31/58.56	  fof(ax2_4628, axiom, ![X]: ~properphysicalparts(X, X)).
58.31/58.56	  fof(ax2_4678, axiom, ![X, Y]: ~(northof(Y, X) & northof(X, Y))).
58.31/58.56	  fof(ax2_4679, axiom, ![X]: ~northof(X, X)).
58.31/58.56	  fof(ax2_4838, axiom, ![X, Y]: ~(temporallyfinishedby(X, Y) & temporallyfinishedby(Y, X))).
58.31/58.56	  fof(ax2_4839, axiom, ![X]: ~temporallyfinishedby(X, X)).
58.31/58.56	  fof(ax2_4929, axiom, ![X, Y]: ~(for_underspecifiedlocation(Y, X) & for_underspecifiedlocation(X, Y))).
58.31/58.56	  fof(ax2_4930, axiom, ![X]: ~for_underspecifiedlocation(X, X)).
58.31/58.56	  fof(ax2_494, axiom, ![OBJ]: ~(individual(OBJ) & setorcollection(OBJ))).
58.31/58.56	  fof(ax2_4990, axiom, ![X, Y]: ~(spatiallycontains(Y, X) & spatiallycontains(X, Y))).
58.31/58.56	  fof(ax2_4991, axiom, ![X]: ~spatiallycontains(X, X)).
58.31/58.56	  fof(ax2_5005, axiom, ![X, Y]: ~(permanentlynorthwestof(Y, X) & permanentlynorthwestof(X, Y))).
58.31/58.56	  fof(ax2_5006, axiom, ![X]: ~permanentlynorthwestof(X, X)).
58.31/58.56	  fof(ax2_5123, axiom, ![X, Y]: ~(suborgs_materialsupport(X, Y) & suborgs_materialsupport(Y, X))).
58.31/58.56	  fof(ax2_5124, axiom, ![X]: ~suborgs_materialsupport(X, X)).
58.31/58.56	  fof(ax2_5283, axiom, ![X, Y]: ~(contiguousafter_tempstage(Y, X) & contiguousafter_tempstage(X, Y))).
58.31/58.56	  fof(ax2_5284, axiom, ![X]: ~contiguousafter_tempstage(X, X)).
58.31/58.56	  fof(ax2_5337, axiom, ![X, Y]: ~(negligiblewrt(X, Y) & negligiblewrt(Y, X))).
58.31/58.56	  fof(ax2_5338, axiom, ![X]: ~negligiblewrt(X, X)).
58.31/58.56	  fof(ax2_5370, axiom, ![X, Y]: ~(under_underspecifiedlocation(Y, X) & under_underspecifiedlocation(X, Y))).
58.31/58.56	  fof(ax2_5371, axiom, ![X]: ~under_underspecifiedlocation(X, X)).
58.31/58.56	  fof(ax2_5423, axiom, ![X, Y]: ~(lessthan(Y, X) & lessthan(X, Y))).
58.31/58.56	  fof(ax2_5424, axiom, ![X]: ~lessthan(X, X)).
58.31/58.56	  fof(ax2_5430, axiom, ![X, Y]: ~(typicallycomparestowrtslotfnlessthanwidthofobject(X, Y) & typicallycomparestowrtslotfnlessthanwidthofobject(Y, X))).
58.31/58.56	  fof(ax2_5431, axiom, ![X]: ~typicallycomparestowrtslotfnlessthanwidthofobject(X, X)).
58.31/58.56	  fof(ax2_5492, axiom, ![X, Y]: ~(owns(X, Y) & owns(Y, X))).
58.31/58.56	  fof(ax2_5493, axiom, ![X]: ~owns(X, X)).
58.31/58.56	  fof(ax2_5700, axiom, ![X, Y]: ~(formofcondition(X, Y) & formofcondition(Y, X))).
58.31/58.56	  fof(ax2_5701, axiom, ![X]: ~formofcondition(X, X)).
58.31/58.56	  fof(ax2_5741, axiom, ![X, Y]: ~(uniquepropersubsituationtypes(X, Y) & uniquepropersubsituationtypes(Y, X))).
58.31/58.56	  fof(ax2_5742, axiom, ![X]: ~uniquepropersubsituationtypes(X, X)).
58.31/58.56	  fof(ax2_5831, axiom, ![X, Y]: ~(after(X, Y) & after(Y, X))).
58.31/58.56	  fof(ax2_5832, axiom, ![X]: ~after(X, X)).
58.31/58.56	  fof(ax2_5905, axiom, ![X, Y]: ~(properpartofspaceregion_inverse(X, Y) & properpartofspaceregion_inverse(Y, X))).
58.31/58.56	  fof(ax2_5906, axiom, ![X]: ~properpartofspaceregion_inverse(X, X)).
58.31/58.56	  fof(ax2_6012, axiom, ![X, Y]: ~(westof(Y, X) & westof(X, Y))).
58.31/58.56	  fof(ax2_6013, axiom, ![X]: ~westof(X, X)).
58.31/58.56	  fof(ax2_6286, axiom, ![X, Y]: ~(physicallycontains(Y, X) & physicallycontains(X, Y))).
58.31/58.56	  fof(ax2_6287, axiom, ![X]: ~physicallycontains(X, X)).
58.31/58.56	  fof(ax2_6439, axiom, ![X]: ~sisters(X, X)).
58.31/58.56	  fof(ax2_6548, axiom, ![X, Y]: ~(outof_underspecifiedcontainer(Y, X) & outof_underspecifiedcontainer(X, Y))).
58.31/58.56	  fof(ax2_6549, axiom, ![X]: ~outof_underspecifiedcontainer(X, X)).
58.31/58.56	  fof(ax2_6628, axiom, ![X, Y]: ~(allnegligiblewrt(Y, X) & allnegligiblewrt(X, Y))).
58.31/58.56	  fof(ax2_6629, axiom, ![X]: ~allnegligiblewrt(X, X)).
58.31/58.56	  fof(ax2_6643, axiom, ![X, Y]: ~(properparts(Y, X) & properparts(X, Y))).
58.31/58.56	  fof(ax2_6644, axiom, ![X]: ~properparts(X, X)).
58.31/58.56	  fof(ax2_7179, axiom, ![X]: ~affiliatedwith(X, X)).
58.31/58.56	  fof(ax2_7323, axiom, ![X, Y]: ~(requisitefor(X, Y) & requisitefor(Y, X))).
58.31/58.56	  fof(ax2_7324, axiom, ![X]: ~requisitefor(X, X)).
58.31/58.56	  fof(ax2_7359, axiom, ![X]: ~objectfoundinlocation(X, X)).
58.31/58.56	  fof(ax2_7643, axiom, ![X]: ~borderson(X, X)).
58.31/58.56	  fof(ax2_7950, axiom, ![X, Y]: ~(superabstractype(X, Y) & superabstractype(Y, X))).
58.31/58.56	  fof(ax2_7951, axiom, ![X]: ~superabstractype(X, X)).
58.31/58.56	  fof(ax2_848, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (isa(OBJ, COL2) & disjointwith(COL1, COL2)))).
58.31/58.56	  fof(query154, conjecture, ?[X]: (mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X))).
58.31/58.56	
58.31/58.56	Now clausify the problem and encode Horn clauses using encoding 3 of
58.31/58.56	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
58.31/58.56	We repeatedly replace C & s=t => u=v by the two clauses:
58.31/58.56	  fresh(y, y, x1...xn) = u
58.31/58.56	  C => fresh(s, t, x1...xn) = v
58.31/58.56	where fresh is a fresh function symbol and x1..xn are the free
58.31/58.56	variables of u and v.
58.31/58.56	A predicate p(X) is encoded as p(X)=true (this is sound, because the
58.31/58.56	input problem has no model of domain size 1).
58.31/58.56	
58.31/58.56	The encoding turns the above axioms into the following unit equations and goals:
58.31/58.56	
58.31/58.56	Axiom 1 (ax2_3985): fresh3603(X, X) = true2.
58.31/58.56	Axiom 2 (ax2_3985): fresh3603(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2) = tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)).
58.31/58.56	Axiom 3 (query154): mtvisible(c_currentworlddatacollectormt_nonhomocentric) = true2.
58.31/58.56	
58.31/58.56	Goal 1 (query154_1): tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X) = true2.
58.31/58.56	The goal is true when:
58.31/58.56	  X = f_tptpquantityfn_21(n_170)
58.31/58.56	
58.31/58.56	Proof:
58.31/58.56	  tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))
58.31/58.56	= { by axiom 2 (ax2_3985) }
58.31/58.56	  fresh3603(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2)
58.31/58.56	= { by axiom 3 (query154) }
58.31/58.56	  fresh3603(true2, true2)
58.31/58.56	= { by axiom 1 (ax2_3985) }
58.31/58.56	  true2
58.31/58.56	% SZS output end Proof
58.31/58.56	
58.31/58.56	RESULT: Theorem (the conjecture is true).
58.50/58.69	EOF