0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% 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   : n009.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 12:58:27 EDT 2021
0.13/0.34	% CPUTime    : 
119.08/15.45	% SZS status Theorem
119.08/15.45	
119.08/15.45	% SZS output start Proof
119.08/15.45	Take the following subset of the input axioms:
119.08/15.46	  fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
119.08/15.46	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))).
119.08/15.46	  fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))).
119.08/15.46	  fof(ax1_254, axiom, genlmt(c_tptp_spindleheadmt, c_cyclistsmt)).
119.08/15.46	  fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))).
119.08/15.46	  fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
119.08/15.46	  fof(ax1_302, axiom, ![ARG1, ARG2]: (tptptypes_6_388(ARG2, ARG1) <= tptptypes_7_389(ARG1, ARG2))).
119.08/15.46	  fof(ax1_34, axiom, genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt)).
119.08/15.46	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))).
119.08/15.46	  fof(ax1_460, axiom, mtvisible(c_cyclistsmt) => tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027)).
119.08/15.46	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))).
119.08/15.46	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
119.08/15.46	  fof(ax1_61, axiom, ![ARG1, ARG2]: (tptptypes_7_389(ARG1, ARG2) <= tptptypes_8_390(ARG1, ARG2))).
119.08/15.46	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
119.08/15.46	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
119.08/15.46	  fof(ax1_99, axiom, ![ARG1, ARG2]: (tptptypes_6_388(ARG1, ARG2) => tptptypes_5_387(ARG1, ARG2))).
119.08/15.46	  fof(query112, conjecture, ?[ARG1]: (mtvisible(c_tptp_member3205_mt) => tptptypes_5_387(ARG1, c_pushingwithfingers))).
119.08/15.46	
119.08/15.46	Now clausify the problem and encode Horn clauses using encoding 3 of
119.08/15.46	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
119.08/15.46	We repeatedly replace C & s=t => u=v by the two clauses:
119.08/15.46	  fresh(y, y, x1...xn) = u
119.08/15.46	  C => fresh(s, t, x1...xn) = v
119.08/15.46	where fresh is a fresh function symbol and x1..xn are the free
119.08/15.46	variables of u and v.
119.08/15.46	A predicate p(X) is encoded as p(X)=true (this is sound, because the
119.08/15.46	input problem has no model of domain size 1).
119.08/15.46	
119.08/15.46	The encoding turns the above axioms into the following unit equations and goals:
119.08/15.46	
119.08/15.46	Axiom 1 (query112): mtvisible(c_tptp_member3205_mt) = true2.
119.08/15.46	Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true2.
119.08/15.46	Axiom 3 (ax1_34): genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt) = true2.
119.08/15.46	Axiom 4 (ax1_460): fresh503(X, X) = true2.
119.08/15.46	Axiom 5 (ax1_1123): fresh680(X, X, Y) = true2.
119.08/15.46	Axiom 6 (ax1_460): fresh503(mtvisible(c_cyclistsmt), true2) = tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027).
119.08/15.46	Axiom 7 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
119.08/15.46	Axiom 8 (ax1_302): fresh580(X, X, Y, Z) = true2.
119.08/15.46	Axiom 9 (ax1_61): fresh373(X, X, Y, Z) = true2.
119.08/15.46	Axiom 10 (ax1_99): fresh11(X, X, Y, Z) = true2.
119.08/15.46	Axiom 11 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
119.08/15.46	Axiom 12 (ax1_302): fresh580(tptptypes_7_389(X, Y), true2, X, Y) = tptptypes_6_388(Y, X).
119.08/15.46	Axiom 13 (ax1_61): fresh373(tptptypes_8_390(X, Y), true2, X, Y) = tptptypes_7_389(X, Y).
119.08/15.46	Axiom 14 (ax1_99): fresh11(tptptypes_6_388(X, Y), true2, X, Y) = tptptypes_5_387(X, Y).
119.08/15.46	
119.08/15.46	Goal 1 (query112_1): tptptypes_5_387(X, c_pushingwithfingers) = true2.
119.08/15.46	The goal is true when:
119.08/15.46	  X = c_tptpcol_15_4027
119.08/15.46	
119.08/15.46	Proof:
119.08/15.46	  tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 14 (ax1_99) R->L }
119.08/15.46	  fresh11(tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 12 (ax1_302) R->L }
119.08/15.46	  fresh11(fresh580(tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 13 (ax1_61) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 6 (ax1_460) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(mtvisible(c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 7 (ax1_1123) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(true2, true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 5 (ax1_1123) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(fresh680(true2, true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 3 (ax1_34) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(fresh680(genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 11 (ax1_1123) R->L }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(fresh681(mtvisible(c_tptp_member3205_mt), true2, c_tptp_member3205_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 1 (query112) }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(fresh681(true2, true2, c_tptp_member3205_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 7 (ax1_1123) }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh681(mtvisible(c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 11 (ax1_1123) }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh680(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true2, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 2 (ax1_254) }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(fresh680(true2, true2, c_cyclistsmt), true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 5 (ax1_1123) }
119.08/15.46	  fresh11(fresh580(fresh373(fresh503(true2, true2), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 4 (ax1_460) }
119.08/15.46	  fresh11(fresh580(fresh373(true2, true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 9 (ax1_61) }
119.08/15.46	  fresh11(fresh580(true2, true2, c_pushingwithfingers, c_tptpcol_15_4027), true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 8 (ax1_302) }
119.08/15.46	  fresh11(true2, true2, c_tptpcol_15_4027, c_pushingwithfingers)
119.08/15.46	= { by axiom 10 (ax1_99) }
119.08/15.46	  true2
119.08/15.46	% SZS output end Proof
119.08/15.46	
119.08/15.46	RESULT: Theorem (the conjecture is true).
119.08/15.49	EOF