0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : twee %s --tstp --casc --quiet --conditional-encoding if --smaller --drop-non-horn
0.03/0.23	% Computer   : n143.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 04:30:25 CDT 2018
0.03/0.23	% CPUTime    : 
96.28/96.49	% SZS status Theorem
96.28/96.49	
96.28/96.49	% SZS output start Proof
96.28/96.49	Take the following subset of the input axioms:
96.28/96.50	  fof(ax2_1249, axiom,
96.28/96.50	      ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
96.28/96.50	  fof(ax2_1271, axiom,
96.28/96.50	      ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
96.28/96.50	  fof(ax2_1745, axiom,
96.28/96.50	      ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
96.28/96.50	  fof(ax2_1803, axiom,
96.28/96.50	      ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
96.28/96.50	  fof(ax2_2129, axiom,
96.28/96.50	      ![OBJ, COL1, COL2]:
96.28/96.50	        ~(isa(OBJ, COL1) & (isa(OBJ, COL2) & disjointwith(COL1, COL2)))).
96.28/96.50	  fof(ax2_220, axiom,
96.28/96.50	      ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
96.28/96.50	  fof(ax2_2346, axiom,
96.28/96.50	      ![OBJ]: ~(tptpcol_3_114688(OBJ) & tptpcol_3_98305(OBJ))).
96.28/96.50	  fof(ax2_2498, axiom,
96.28/96.50	      ![OBJ]: ~(partiallytangible(OBJ) & waitinglist(OBJ))).
96.28/96.50	  fof(ax2_2792, axiom,
96.28/96.50	      ![OBJ]: ~(partiallytangible(OBJ) & thermalenergy(OBJ))).
96.28/96.50	  fof(ax2_3089, axiom, ![OBJ]: ~(individual(OBJ) & collection(OBJ))).
96.28/96.50	  fof(ax2_3226, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
96.28/96.50	  fof(ax2_3854, axiom,
96.28/96.50	      ![OBJ]: ~(tptpcol_3_114688(OBJ) & tptpcol_3_98305(OBJ))).
96.28/96.50	  fof(ax2_4139, axiom,
96.28/96.50	      mtvisible(c_englishmt)
96.28/96.50	        => prettystring(f_instancewithrelationtofn(c_footballteam,
96.28/96.50	                                                   c_affiliatedwith, c_beloitcollege),
96.28/96.50	                        s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)).
96.28/96.50	  fof(ax2_4279, axiom,
96.28/96.50	      ![OBJ]: ~(collection(OBJ) & set_mathematical(OBJ))).
96.28/96.50	  fof(ax2_4519, axiom,
96.28/96.50	      ![X, Y]: ~(temporaryparts(X, Y) & temporaryparts(Y, X))).
96.28/96.50	  fof(ax2_4520, axiom, ![X]: ~temporaryparts(X, X)).
96.28/96.50	  fof(ax2_4585, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(along_underspecifiedpath(X, Y)
96.28/96.50	            & along_underspecifiedpath(Y, X))).
96.28/96.50	  fof(ax2_4586, axiom, ![X]: ~along_underspecifiedpath(X, X)).
96.28/96.50	  fof(ax2_4598, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(typicallycomparestowrtslotfnlessthanbasicprice(Y, X)
96.28/96.50	            & typicallycomparestowrtslotfnlessthanbasicprice(X, Y))).
96.28/96.50	  fof(ax2_4599, axiom,
96.28/96.50	      ![X]: ~typicallycomparestowrtslotfnlessthanbasicprice(X, X)).
96.28/96.50	  fof(ax2_4627, axiom,
96.28/96.50	      ![X, Y]: ~(properphysicalparts(X, Y) & properphysicalparts(Y, X))).
96.28/96.50	  fof(ax2_4628, axiom, ![X]: ~properphysicalparts(X, X)).
96.28/96.50	  fof(ax2_4678, axiom, ![X, Y]: ~(northof(Y, X) & northof(X, Y))).
96.28/96.50	  fof(ax2_4679, axiom, ![X]: ~northof(X, X)).
96.28/96.50	  fof(ax2_4838, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(temporallyfinishedby(X, Y) & temporallyfinishedby(Y, X))).
96.28/96.50	  fof(ax2_4839, axiom, ![X]: ~temporallyfinishedby(X, X)).
96.28/96.50	  fof(ax2_4929, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(for_underspecifiedlocation(Y, X)
96.28/96.50	            & for_underspecifiedlocation(X, Y))).
96.28/96.50	  fof(ax2_4930, axiom, ![X]: ~for_underspecifiedlocation(X, X)).
96.28/96.50	  fof(ax2_494, axiom,
96.28/96.50	      ![OBJ]: ~(individual(OBJ) & setorcollection(OBJ))).
96.28/96.50	  fof(ax2_4990, axiom,
96.28/96.50	      ![X, Y]: ~(spatiallycontains(Y, X) & spatiallycontains(X, Y))).
96.28/96.50	  fof(ax2_4991, axiom, ![X]: ~spatiallycontains(X, X)).
96.28/96.50	  fof(ax2_5005, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(permanentlynorthwestof(Y, X) & permanentlynorthwestof(X, Y))).
96.28/96.50	  fof(ax2_5006, axiom, ![X]: ~permanentlynorthwestof(X, X)).
96.28/96.50	  fof(ax2_5123, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(suborgs_materialsupport(X, Y) & suborgs_materialsupport(Y, X))).
96.28/96.50	  fof(ax2_5124, axiom, ![X]: ~suborgs_materialsupport(X, X)).
96.28/96.50	  fof(ax2_5283, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(contiguousafter_tempstage(Y, X)
96.28/96.50	            & contiguousafter_tempstage(X, Y))).
96.28/96.50	  fof(ax2_5284, axiom, ![X]: ~contiguousafter_tempstage(X, X)).
96.28/96.50	  fof(ax2_5337, axiom,
96.28/96.50	      ![X, Y]: ~(negligiblewrt(Y, X) & negligiblewrt(X, Y))).
96.28/96.50	  fof(ax2_5338, axiom, ![X]: ~negligiblewrt(X, X)).
96.28/96.50	  fof(ax2_5370, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(under_underspecifiedlocation(Y, X)
96.28/96.50	            & under_underspecifiedlocation(X, Y))).
96.28/96.50	  fof(ax2_5371, axiom, ![X]: ~under_underspecifiedlocation(X, X)).
96.28/96.50	  fof(ax2_5423, axiom, ![X, Y]: ~(lessthan(X, Y) & lessthan(Y, X))).
96.28/96.50	  fof(ax2_5424, axiom, ![X]: ~lessthan(X, X)).
96.28/96.50	  fof(ax2_5430, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(typicallycomparestowrtslotfnlessthanwidthofobject(X, Y)
96.28/96.50	            & typicallycomparestowrtslotfnlessthanwidthofobject(Y, X))).
96.28/96.50	  fof(ax2_5431, axiom,
96.28/96.50	      ![X]: ~typicallycomparestowrtslotfnlessthanwidthofobject(X, X)).
96.28/96.50	  fof(ax2_5492, axiom, ![X, Y]: ~(owns(X, Y) & owns(Y, X))).
96.28/96.50	  fof(ax2_5493, axiom, ![X]: ~owns(X, X)).
96.28/96.50	  fof(ax2_5700, axiom,
96.28/96.50	      ![X, Y]: ~(formofcondition(Y, X) & formofcondition(X, Y))).
96.28/96.50	  fof(ax2_5701, axiom, ![X]: ~formofcondition(X, X)).
96.28/96.50	  fof(ax2_5741, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(uniquepropersubsituationtypes(Y, X)
96.28/96.50	            & uniquepropersubsituationtypes(X, Y))).
96.28/96.50	  fof(ax2_5742, axiom, ![X]: ~uniquepropersubsituationtypes(X, X)).
96.28/96.50	  fof(ax2_5831, axiom, ![X, Y]: ~(after(X, Y) & after(Y, X))).
96.28/96.50	  fof(ax2_5832, axiom, ![X]: ~after(X, X)).
96.28/96.50	  fof(ax2_5905, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(properpartofspaceregion_inverse(Y, X)
96.28/96.50	            & properpartofspaceregion_inverse(X, Y))).
96.28/96.50	  fof(ax2_5906, axiom, ![X]: ~properpartofspaceregion_inverse(X, X)).
96.28/96.50	  fof(ax2_6012, axiom, ![X, Y]: ~(westof(Y, X) & westof(X, Y))).
96.28/96.50	  fof(ax2_6013, axiom, ![X]: ~westof(X, X)).
96.28/96.50	  fof(ax2_6286, axiom,
96.28/96.50	      ![X, Y]: ~(physicallycontains(Y, X) & physicallycontains(X, Y))).
96.28/96.50	  fof(ax2_6287, axiom, ![X]: ~physicallycontains(X, X)).
96.28/96.50	  fof(ax2_6439, axiom, ![X]: ~sisters(X, X)).
96.28/96.50	  fof(ax2_6548, axiom,
96.28/96.50	      ![X, Y]:
96.28/96.50	        ~(outof_underspecifiedcontainer(Y, X)
96.28/96.50	            & outof_underspecifiedcontainer(X, Y))).
96.28/96.50	  fof(ax2_6549, axiom, ![X]: ~outof_underspecifiedcontainer(X, X)).
96.28/96.50	  fof(ax2_6628, axiom,
96.28/96.50	      ![X, Y]: ~(allnegligiblewrt(Y, X) & allnegligiblewrt(X, Y))).
96.28/96.50	  fof(ax2_6629, axiom, ![X]: ~allnegligiblewrt(X, X)).
96.28/96.50	  fof(ax2_6643, axiom,
96.28/96.50	      ![X, Y]: ~(properparts(Y, X) & properparts(X, Y))).
96.28/96.50	  fof(ax2_6644, axiom, ![X]: ~properparts(X, X)).
96.28/96.50	  fof(ax2_7179, axiom, ![X]: ~affiliatedwith(X, X)).
96.28/96.50	  fof(ax2_7323, axiom,
96.28/96.50	      ![X, Y]: ~(requisitefor(Y, X) & requisitefor(X, Y))).
96.28/96.50	  fof(ax2_7324, axiom, ![X]: ~requisitefor(X, X)).
96.28/96.50	  fof(ax2_7359, axiom, ![X]: ~objectfoundinlocation(X, X)).
96.28/96.50	  fof(ax2_7643, axiom, ![X]: ~borderson(X, X)).
96.28/96.50	  fof(ax2_7950, axiom,
96.28/96.50	      ![X, Y]: ~(superabstractype(Y, X) & superabstractype(X, Y))).
96.28/96.50	  fof(ax2_7951, axiom, ![X]: ~superabstractype(X, X)).
96.28/96.50	  fof(ax2_848, axiom,
96.28/96.50	      ![OBJ, COL1, COL2]:
96.28/96.50	        ~(isa(OBJ, COL2) & (disjointwith(COL1, COL2) & isa(OBJ, COL1)))).
96.28/96.50	  fof(query135, conjecture,
96.28/96.50	      ?[X]:
96.28/96.50	        (prettystring(f_instancewithrelationtofn(c_footballteam,
96.28/96.50	                                                 c_affiliatedwith, c_beloitcollege),
96.28/96.50	                      X)
96.28/96.50	           <= mtvisible(c_englishmt))).
96.28/96.50	
96.28/96.50	Now clausify the problem and encode Horn clauses using encoding 3 of
96.28/96.50	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
96.28/96.50	We repeatedly replace C & s=t => u=v by the two clauses:
96.28/96.50	  $$fresh(y, y, x1...xn) = u
96.28/96.50	  C => $$fresh(s, t, x1...xn) = v
96.28/96.50	where $$fresh is a fresh function symbol and x1..xn are the free
96.28/96.50	variables of u and v.
96.28/96.50	A predicate p(X) is encoded as p(X)=$$true (this is sound, because the
96.28/96.50	input problem has no model of domain size 1).
96.28/96.50	
96.28/96.50	The encoding turns the above axioms into the following unit equations and goals:
96.28/96.50	
96.28/96.50	Axiom 1437 (ax2_4139): $$fresh3529(X, X) = $$true2.
96.28/96.50	Axiom 5892 (ax2_4139): $$fresh3529(mtvisible(c_englishmt), $$true2) = prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege).
96.28/96.50	Axiom 12917 (query135): mtvisible(c_englishmt) = $$true2.
96.28/96.50	
96.28/96.50	Goal 1 (query135_1): prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), X) = $$true2.
96.28/96.50	The goal is true when:
96.28/96.50	  X = s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege
96.28/96.50	
96.28/96.50	Proof:
96.28/96.50	  prettystring(f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege), s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
96.28/96.50	= { by axiom 5892 (ax2_4139) }
96.28/96.50	  $$fresh3529(mtvisible(c_englishmt), $$true2)
96.28/96.50	= { by axiom 12917 (query135) }
96.28/96.50	  $$fresh3529($$true2, $$true2)
96.28/96.50	= { by axiom 1437 (ax2_4139) }
96.28/96.50	  $$true2
96.28/96.50	% SZS output end Proof
96.28/96.50	
96.28/96.50	RESULT: Theorem (the conjecture is true).
96.57/96.75	EOF