0.08/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
0.13/0.34	% Computer   : n008.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   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 10:45:44 EDT 2021
0.13/0.34	% CPUTime    : 
27.87/3.93	% SZS status Theorem
27.87/3.93	
27.87/3.93	% SZS output start Proof
27.87/3.93	Take the following subset of the input axioms:
27.87/3.93	  fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
27.87/3.93	  fof(ax1_140, axiom, genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt)).
27.87/3.93	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
27.87/3.93	  fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
27.87/3.93	  fof(ax1_207, axiom, mtvisible(c_tptpgeo_member1_mt) => borderson(c_georegion_l4_x45_y9, c_georegion_l4_x45_y10)).
27.87/3.93	  fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
27.87/3.93	  fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
27.87/3.93	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))).
27.87/3.93	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))).
27.87/3.93	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
27.87/3.93	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
27.87/3.93	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
27.87/3.93	  fof(query98, conjecture, ?[ARG2]: (borderson(c_georegion_l4_x45_y9, ARG2) <= mtvisible(c_tptpgeo_spindlecollectormt))).
27.87/3.93	
27.87/3.93	Now clausify the problem and encode Horn clauses using encoding 3 of
27.87/3.93	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
27.87/3.93	We repeatedly replace C & s=t => u=v by the two clauses:
27.87/3.93	  fresh(y, y, x1...xn) = u
27.87/3.93	  C => fresh(s, t, x1...xn) = v
27.87/3.93	where fresh is a fresh function symbol and x1..xn are the free
27.87/3.93	variables of u and v.
27.87/3.93	A predicate p(X) is encoded as p(X)=true (this is sound, because the
27.87/3.93	input problem has no model of domain size 1).
27.87/3.93	
27.87/3.93	The encoding turns the above axioms into the following unit equations and goals:
27.87/3.93	
27.87/3.93	Axiom 1 (ax1_140): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt) = true2.
27.87/3.93	Axiom 2 (query98): mtvisible(c_tptpgeo_spindlecollectormt) = true2.
27.87/3.93	Axiom 3 (ax1_207): fresh626(X, X) = true2.
27.87/3.93	Axiom 4 (ax1_1123): fresh680(X, X, Y) = true2.
27.87/3.93	Axiom 5 (ax1_207): fresh626(mtvisible(c_tptpgeo_member1_mt), true2) = borderson(c_georegion_l4_x45_y9, c_georegion_l4_x45_y10).
27.87/3.93	Axiom 6 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
27.87/3.93	Axiom 7 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
27.87/3.93	
27.87/3.93	Goal 1 (query98_1): borderson(c_georegion_l4_x45_y9, X) = true2.
27.87/3.93	The goal is true when:
27.87/3.93	  X = c_georegion_l4_x45_y10
27.87/3.93	
27.87/3.93	Proof:
27.87/3.93	  borderson(c_georegion_l4_x45_y9, c_georegion_l4_x45_y10)
27.87/3.93	= { by axiom 5 (ax1_207) R->L }
27.87/3.93	  fresh626(mtvisible(c_tptpgeo_member1_mt), true2)
27.87/3.93	= { by axiom 6 (ax1_1123) R->L }
27.87/3.93	  fresh626(fresh681(true2, true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt), true2)
27.87/3.93	= { by axiom 2 (query98) R->L }
27.87/3.93	  fresh626(fresh681(mtvisible(c_tptpgeo_spindlecollectormt), true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt), true2)
27.87/3.93	= { by axiom 7 (ax1_1123) }
27.87/3.93	  fresh626(fresh680(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt), true2, c_tptpgeo_member1_mt), true2)
27.87/3.93	= { by axiom 1 (ax1_140) }
27.87/3.93	  fresh626(fresh680(true2, true2, c_tptpgeo_member1_mt), true2)
27.87/3.93	= { by axiom 4 (ax1_1123) }
27.87/3.93	  fresh626(true2, true2)
27.87/3.93	= { by axiom 3 (ax1_207) }
27.87/3.93	  true2
27.87/3.93	% SZS output end Proof
27.87/3.93	
27.87/3.93	RESULT: Theorem (the conjecture is true).
27.87/3.95	EOF