0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% 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   : n003.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 11:46:39 EDT 2021
0.13/0.34	% CPUTime    : 
42.91/5.83	% SZS status Theorem
42.91/5.83	
42.91/5.83	% SZS output start Proof
42.91/5.83	Take the following subset of the input axioms:
42.91/5.83	  fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
42.91/5.83	  fof(ax1_133, axiom, genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt)).
42.91/5.83	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
42.91/5.83	  fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
42.91/5.83	  fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
42.91/5.83	  fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
42.91/5.83	  fof(ax1_302, axiom, ![ARG1, ARG2]: (tptptypes_6_388(ARG2, ARG1) <= tptptypes_7_389(ARG1, ARG2))).
42.91/5.83	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))).
42.91/5.83	  fof(ax1_451, axiom, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451) <= mtvisible(c_tptp_spindleheadmt)).
42.91/5.83	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))).
42.91/5.83	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
42.91/5.83	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
42.91/5.83	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
42.91/5.83	  fof(ax1_99, axiom, ![ARG1, ARG2]: (tptptypes_6_388(ARG1, ARG2) => tptptypes_5_387(ARG1, ARG2))).
42.91/5.83	  fof(query80, conjecture, ?[ARG2]: (mtvisible(c_tptp_member3393_mt) => tptptypes_5_387(ARG2, c_pushingwithopenhand))).
42.91/5.83	
42.91/5.83	Now clausify the problem and encode Horn clauses using encoding 3 of
42.91/5.83	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
42.91/5.83	We repeatedly replace C & s=t => u=v by the two clauses:
42.91/5.83	  fresh(y, y, x1...xn) = u
42.91/5.83	  C => fresh(s, t, x1...xn) = v
42.91/5.83	where fresh is a fresh function symbol and x1..xn are the free
42.91/5.83	variables of u and v.
42.91/5.83	A predicate p(X) is encoded as p(X)=true (this is sound, because the
42.91/5.83	input problem has no model of domain size 1).
42.91/5.83	
42.91/5.83	The encoding turns the above axioms into the following unit equations and goals:
42.91/5.83	
42.91/5.83	Axiom 1 (query80): mtvisible(c_tptp_member3393_mt) = true2.
42.91/5.83	Axiom 2 (ax1_133): genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = true2.
42.91/5.83	Axiom 3 (ax1_451): fresh508(X, X) = true2.
42.91/5.83	Axiom 4 (ax1_1123): fresh680(X, X, Y) = true2.
42.91/5.83	Axiom 5 (ax1_451): fresh508(mtvisible(c_tptp_spindleheadmt), true2) = tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451).
42.91/5.83	Axiom 6 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
42.91/5.83	Axiom 7 (ax1_302): fresh580(X, X, Y, Z) = true2.
42.91/5.83	Axiom 8 (ax1_99): fresh11(X, X, Y, Z) = true2.
42.91/5.83	Axiom 9 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
42.91/5.83	Axiom 10 (ax1_302): fresh580(tptptypes_7_389(X, Y), true2, X, Y) = tptptypes_6_388(Y, X).
42.91/5.83	Axiom 11 (ax1_99): fresh11(tptptypes_6_388(X, Y), true2, X, Y) = tptptypes_5_387(X, Y).
42.91/5.83	
42.91/5.83	Goal 1 (query80_1): tptptypes_5_387(X, c_pushingwithopenhand) = true2.
42.91/5.83	The goal is true when:
42.91/5.83	  X = c_tptpcol_16_4451
42.91/5.83	
42.91/5.83	Proof:
42.91/5.83	  tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 11 (ax1_99) R->L }
42.91/5.83	  fresh11(tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 10 (ax1_302) R->L }
42.91/5.83	  fresh11(fresh580(tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 5 (ax1_451) R->L }
42.91/5.83	  fresh11(fresh580(fresh508(mtvisible(c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 6 (ax1_1123) R->L }
42.91/5.83	  fresh11(fresh580(fresh508(fresh681(true2, true2, c_tptp_member3393_mt, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 1 (query80) R->L }
42.91/5.83	  fresh11(fresh580(fresh508(fresh681(mtvisible(c_tptp_member3393_mt), true2, c_tptp_member3393_mt, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 9 (ax1_1123) }
42.91/5.83	  fresh11(fresh580(fresh508(fresh680(genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 2 (ax1_133) }
42.91/5.83	  fresh11(fresh580(fresh508(fresh680(true2, true2, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 4 (ax1_1123) }
42.91/5.83	  fresh11(fresh580(fresh508(true2, true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 3 (ax1_451) }
42.91/5.83	  fresh11(fresh580(true2, true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 7 (ax1_302) }
42.91/5.83	  fresh11(true2, true2, c_tptpcol_16_4451, c_pushingwithopenhand)
42.91/5.83	= { by axiom 8 (ax1_99) }
42.91/5.83	  true2
42.91/5.83	% SZS output end Proof
42.91/5.83	
42.91/5.83	RESULT: Theorem (the conjecture is true).
42.91/5.86	EOF