0.11/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.12/0.32	% Computer   : n018.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 180
0.12/0.32	% DateTime   : Thu Aug 29 09:41:06 EDT 2019
0.12/0.33	% CPUTime    : 
8.23/8.44	% SZS status Theorem
8.23/8.44	
8.23/8.44	% SZS output start Proof
8.23/8.44	Take the following subset of the input axioms:
8.23/8.46	  fof(ax1_108, axiom, ![ARG1, ARG2]: (tptptypes_8_400(ARG2, ARG1) <= tptptypes_9_401(ARG1, ARG2))).
8.23/8.46	  fof(ax1_1123, axiom, ![SPECMT, GENLMT]: (mtvisible(GENLMT) <= (mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)))).
8.23/8.46	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
8.23/8.46	  fof(ax1_157, axiom, mtvisible(c_tptp_member237_mt) => tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258)).
8.23/8.46	  fof(ax1_167, axiom, ![OBJ]: ~(individual(OBJ) & setorcollection(OBJ))).
8.23/8.46	  fof(ax1_174, axiom, ![ARG1, ARG2]: (tptptypes_7_396(ARG1, ARG2) <= tptptypes_8_400(ARG1, ARG2))).
8.23/8.46	  fof(ax1_198, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt)).
8.23/8.46	  fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
8.23/8.46	  fof(ax1_3, axiom, ![OBJ]: ~(partiallytangible(OBJ) & intangible(OBJ))).
8.23/8.46	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL2) & (disjointwith(COL1, COL2) & isa(OBJ, COL1)))).
8.23/8.46	  fof(ax1_409, axiom, ![ARG1, ARG2]: (tptptypes_7_396(ARG1, ARG2) => tptptypes_6_388(ARG1, ARG2))).
8.23/8.46	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_114688(OBJ) & tptpcol_3_98305(OBJ))).
8.23/8.46	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
8.23/8.46	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
8.23/8.46	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
8.23/8.46	  fof(ax1_99, axiom, ![ARG1, ARG2]: (tptptypes_5_387(ARG1, ARG2) <= tptptypes_6_388(ARG1, ARG2))).
8.23/8.46	  fof(query123, conjecture, ?[ARG1]: (tptptypes_5_387(ARG1, c_pushingababycarriage) <= mtvisible(c_tptp_spindlecollectormt))).
8.23/8.46	
8.23/8.46	Now clausify the problem and encode Horn clauses using encoding 3 of
8.23/8.46	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
8.23/8.46	We repeatedly replace C & s=t => u=v by the two clauses:
8.23/8.46	  fresh(y, y, x1...xn) = u
8.23/8.46	  C => fresh(s, t, x1...xn) = v
8.23/8.46	where fresh is a fresh function symbol and x1..xn are the free
8.23/8.46	variables of u and v.
8.23/8.46	A predicate p(X) is encoded as p(X)=true (this is sound, because the
8.23/8.46	input problem has no model of domain size 1).
8.23/8.46	
8.23/8.46	The encoding turns the above axioms into the following unit equations and goals:
8.23/8.46	
8.23/8.46	Axiom 1 (ax1_108): fresh725(X, X, Y, Z) = true2.
8.23/8.46	Axiom 2 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
8.23/8.46	Axiom 3 (ax1_1123): fresh680(X, X, Y) = true2.
8.23/8.46	Axiom 4 (ax1_157): fresh652(X, X) = true2.
8.23/8.46	Axiom 5 (ax1_174): fresh644(X, X, Y, Z) = true2.
8.23/8.46	Axiom 6 (ax1_409): fresh530(X, X, Y, Z) = true2.
8.23/8.46	Axiom 7 (ax1_99): fresh11(X, X, Y, Z) = true2.
8.23/8.46	Axiom 8 (ax1_198): genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt) = true2.
8.23/8.46	Axiom 9 (ax1_1123): fresh681(genlmt(X, Y), true2, X, Y) = fresh680(mtvisible(X), true2, Y).
8.23/8.46	Axiom 10 (ax1_99): fresh11(tptptypes_6_388(X, Y), true2, X, Y) = tptptypes_5_387(X, Y).
8.23/8.46	Axiom 11 (ax1_174): fresh644(tptptypes_8_400(X, Y), true2, X, Y) = tptptypes_7_396(X, Y).
8.23/8.46	Axiom 12 (ax1_157): fresh652(mtvisible(c_tptp_member237_mt), true2) = tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258).
8.23/8.46	Axiom 13 (ax1_108): fresh725(tptptypes_9_401(X, Y), true2, X, Y) = tptptypes_8_400(Y, X).
8.23/8.46	Axiom 14 (ax1_409): fresh530(tptptypes_7_396(X, Y), true2, X, Y) = tptptypes_6_388(X, Y).
8.23/8.46	Axiom 15 (query123): mtvisible(c_tptp_spindlecollectormt) = true2.
8.23/8.46	
8.23/8.46	Goal 1 (query123_1): tptptypes_5_387(X, c_pushingababycarriage) = true2.
8.23/8.46	The goal is true when:
8.23/8.46	  X = c_tptpcol_16_10258
8.23/8.46	
8.23/8.46	Proof:
8.23/8.46	  tptptypes_5_387(c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 10 (ax1_99) }
8.23/8.46	  fresh11(tptptypes_6_388(c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 14 (ax1_409) }
8.23/8.46	  fresh11(fresh530(tptptypes_7_396(c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 11 (ax1_174) }
8.23/8.46	  fresh11(fresh530(fresh644(tptptypes_8_400(c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 13 (ax1_108) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 12 (ax1_157) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(mtvisible(c_tptp_member237_mt), true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 2 (ax1_1123) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(fresh681(true2, true2, c_tptp_spindlecollectormt, c_tptp_member237_mt), true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 8 (ax1_198) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(fresh681(genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt), true2, c_tptp_spindlecollectormt, c_tptp_member237_mt), true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 9 (ax1_1123) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(fresh680(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_member237_mt), true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 15 (query123) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(fresh680(true2, true2, c_tptp_member237_mt), true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 3 (ax1_1123) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(fresh652(true2, true2), true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 4 (ax1_157) }
8.23/8.46	  fresh11(fresh530(fresh644(fresh725(true2, true2, c_pushingababycarriage, c_tptpcol_16_10258), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 1 (ax1_108) }
8.23/8.46	  fresh11(fresh530(fresh644(true2, true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 5 (ax1_174) }
8.23/8.46	  fresh11(fresh530(true2, true2, c_tptpcol_16_10258, c_pushingababycarriage), true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 6 (ax1_409) }
8.23/8.46	  fresh11(true2, true2, c_tptpcol_16_10258, c_pushingababycarriage)
8.23/8.46	= { by axiom 7 (ax1_99) }
8.23/8.46	  true2
8.23/8.46	% SZS output end Proof
8.23/8.46	
8.23/8.46	RESULT: Theorem (the conjecture is true).
8.23/8.47	EOF