0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
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   : 1200
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Tue Jul 13 14:03:21 EDT 2021
0.12/0.33	% CPUTime    : 
113.77/14.75	% SZS status Theorem
113.77/14.75	
113.77/14.75	% SZS output start Proof
113.77/14.75	Take the following subset of the input axioms:
113.77/14.75	  fof(ax1_1, axiom, genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)).
113.77/14.75	  fof(ax1_1042, axiom, ![X]: (geographicalregion(X) => geographicalsubregions(X, X))).
113.77/14.75	  fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
113.77/14.75	  fof(ax1_128, axiom, ![ARG1, ARG2]: (inregion(ARG2, ARG1) <= geographicalsubregions(ARG1, ARG2))).
113.77/14.75	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
113.77/14.75	  fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
113.77/14.75	  fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
113.77/14.75	  fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
113.77/14.75	  fof(ax1_326, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
113.77/14.75	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))).
113.77/14.75	  fof(ax1_462, axiom, ![OBJ]: (geolevel_4(OBJ) => geographicalregion(OBJ))).
113.77/14.75	  fof(ax1_464, axiom, mtvisible(c_worldgeographymt) => geolevel_4(c_georegion_l4_x75_y75)).
113.77/14.75	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))).
113.77/14.75	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
113.77/14.75	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
113.77/14.75	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
113.77/14.75	  fof(query107, conjecture, ?[X]: (inregion(X, c_georegion_l4_x75_y75) <= mtvisible(c_tptpgeo_member8_mt))).
113.77/14.75	
113.77/14.75	Now clausify the problem and encode Horn clauses using encoding 3 of
113.77/14.75	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
113.77/14.75	We repeatedly replace C & s=t => u=v by the two clauses:
113.77/14.75	  fresh(y, y, x1...xn) = u
113.77/14.75	  C => fresh(s, t, x1...xn) = v
113.77/14.75	where fresh is a fresh function symbol and x1..xn are the free
113.77/14.75	variables of u and v.
113.77/14.75	A predicate p(X) is encoded as p(X)=true (this is sound, because the
113.77/14.75	input problem has no model of domain size 1).
113.77/14.75	
113.77/14.75	The encoding turns the above axioms into the following unit equations and goals:
113.77/14.75	
113.77/14.75	Axiom 1 (query107): mtvisible(c_tptpgeo_member8_mt) = true2.
113.77/14.75	Axiom 2 (ax1_464): fresh500(X, X) = true2.
113.77/14.75	Axiom 3 (ax1_1): genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = true2.
113.77/14.75	Axiom 4 (ax1_326): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
113.77/14.75	Axiom 5 (ax1_1042): fresh774(X, X, Y) = true2.
113.77/14.75	Axiom 6 (ax1_1123): fresh680(X, X, Y) = true2.
113.77/14.75	Axiom 7 (ax1_462): fresh502(X, X, Y) = true2.
113.77/14.75	Axiom 8 (ax1_464): fresh500(mtvisible(c_worldgeographymt), true2) = geolevel_4(c_georegion_l4_x75_y75).
113.77/14.75	Axiom 9 (ax1_1042): fresh774(geographicalregion(X), true2, X) = geographicalsubregions(X, X).
113.77/14.75	Axiom 10 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
113.77/14.75	Axiom 11 (ax1_128): fresh664(X, X, Y, Z) = true2.
113.77/14.75	Axiom 12 (ax1_462): fresh502(geolevel_4(X), true2, X) = geographicalregion(X).
113.77/14.75	Axiom 13 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
113.77/14.75	Axiom 14 (ax1_128): fresh664(geographicalsubregions(X, Y), true2, X, Y) = inregion(Y, X).
113.77/14.75	
113.77/14.75	Goal 1 (query107_1): inregion(X, c_georegion_l4_x75_y75) = true2.
113.77/14.75	The goal is true when:
113.77/14.75	  X = c_georegion_l4_x75_y75
113.77/14.75	
113.77/14.75	Proof:
113.77/14.75	  inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 14 (ax1_128) R->L }
113.77/14.75	  fresh664(geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 9 (ax1_1042) R->L }
113.77/14.75	  fresh664(fresh774(geographicalregion(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 12 (ax1_462) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(geolevel_4(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 8 (ax1_464) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(mtvisible(c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 10 (ax1_1123) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(true2, true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 6 (ax1_1123) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(fresh680(true2, true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 3 (ax1_1) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(fresh680(genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 13 (ax1_1123) R->L }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(fresh681(mtvisible(c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 1 (query107) }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(fresh681(true2, true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 10 (ax1_1123) }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh681(mtvisible(c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 13 (ax1_1123) }
113.77/14.75	  fresh664(fresh774(fresh502(fresh500(fresh680(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true2, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.75	= { by axiom 4 (ax1_326) }
113.77/14.76	  fresh664(fresh774(fresh502(fresh500(fresh680(true2, true2, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.76	= { by axiom 6 (ax1_1123) }
113.77/14.76	  fresh664(fresh774(fresh502(fresh500(true2, true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.76	= { by axiom 2 (ax1_464) }
113.77/14.76	  fresh664(fresh774(fresh502(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.76	= { by axiom 7 (ax1_462) }
113.77/14.76	  fresh664(fresh774(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.76	= { by axiom 5 (ax1_1042) }
113.77/14.76	  fresh664(true2, true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
113.77/14.76	= { by axiom 11 (ax1_128) }
113.77/14.76	  true2
113.77/14.76	% SZS output end Proof
113.77/14.76	
113.77/14.76	RESULT: Theorem (the conjecture is true).
113.77/14.79	EOF