0.05/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.09	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.09/0.30	% Computer   : n020.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Thu Jul  2 06:38:02 EDT 2020
0.09/0.30	% CPUTime    : 
0.14/0.40	% SZS status Theorem
0.14/0.40	
0.14/0.46	% SZS output start Proof
0.14/0.46	Take the following subset of the input axioms:
0.14/0.49	  fof(ax1, axiom, ![U, V]: (instrumentality(U, V) <= furniture(U, V))).
0.14/0.49	  fof(ax18, axiom, ![U, V]: (object(U, V) => nonliving(U, V))).
0.14/0.49	  fof(ax2, axiom, ![U, V]: (furniture(U, V) <= seat(U, V))).
0.14/0.49	  fof(ax20, axiom, ![U, V]: (object(U, V) <= artifact(U, V))).
0.14/0.49	  fof(ax21, axiom, ![U, V]: (artifact(U, V) <= instrumentality(U, V))).
0.14/0.49	  fof(ax3, axiom, ![U, V]: (seat(U, V) <= frontseat(U, V))).
0.14/0.49	  fof(ax38, axiom, ![U, V]: (human_person(U, V) => animate(U, V))).
0.14/0.49	  fof(ax48, axiom, ![U, V]: (human_person(U, V) <= man(U, V))).
0.14/0.49	  fof(ax49, axiom, ![U, V]: (man(U, V) <= fellow(U, V))).
0.14/0.49	  fof(ax50, axiom, ![U, V]: (animate(U, V) => ~nonliving(U, V))).
0.14/0.49	  fof(ax51, axiom, ![U, V]: (existent(U, V) => ~nonexistent(U, V))).
0.14/0.49	  fof(ax52, axiom, ![U, V]: (nonhuman(U, V) => ~human(U, V))).
0.14/0.49	  fof(ax53, axiom, ![U, V]: (~living(U, V) <= nonliving(U, V))).
0.14/0.49	  fof(ax54, axiom, ![U, V]: (singleton(U, V) => ~multiple(U, V))).
0.14/0.49	  fof(ax55, axiom, ![U, V]: (~general(U, V) <= specific(U, V))).
0.14/0.49	  fof(ax56, axiom, ![U, V]: (~male(U, V) <= unisex(U, V))).
0.14/0.49	  fof(ax57, axiom, ![U, V]: (~old(U, V) <= young(U, V))).
0.14/0.49	  fof(ax59, axiom, ![U, V, X, W]: (W=X <= be(U, V, W, X))).
0.14/0.49	  fof(ax60, axiom, ![U, V]: (two(U, V) <=> ?[W]: (member(U, W, V) & ?[X]: (![Y]: ((W=Y | X=Y) <= member(U, Y, V)) & (X!=W & member(U, X, V)))))).
0.14/0.49	  fof(ax61, axiom, ![U]: ~?[V]: member(U, V, V)).
0.14/0.49	  fof(co1, conjecture, ~?[U]: (actual_world(U) & ?[V, X, W, Y, Z]: (white(U, V) & (dirty(U, V) & (of(U, W, X) & (agent(U, Y, V) & (present(U, Y) & (barrel(U, Y) & (down(U, Y, X) & (in(U, Y, X) & (![X1]: (?[X2, X3]: (frontseat(U, X3) & (in(U, X3, X3) & (be(U, X2, X1, X3) & state(U, X2)))) <= member(U, X1, Z)) & (group(U, Z) & (![X4]: ((fellow(U, X4) & young(U, X4)) <= member(U, X4, Z)) & (two(U, Z) & (event(U, Y) & (lonely(U, X) & (street(U, X) & (placename(U, W) & (hollywood_placename(U, W) & (city(U, X) & (old(U, V) & chevy(U, V)))))))))))))))))))))).
0.14/0.49	
0.14/0.49	Now clausify the problem and encode Horn clauses using encoding 3 of
0.14/0.49	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
0.14/0.49	We repeatedly replace C & s=t => u=v by the two clauses:
0.14/0.49	  fresh(y, y, x1...xn) = u
0.14/0.49	  C => fresh(s, t, x1...xn) = v
0.14/0.49	where fresh is a fresh function symbol and x1..xn are the free
0.14/0.49	variables of u and v.
0.14/0.49	A predicate p(X) is encoded as p(X)=true (this is sound, because the
0.14/0.49	input problem has no model of domain size 1).
0.14/0.49	
0.14/0.49	The encoding turns the above axioms into the following unit equations and goals:
0.14/0.49	
0.14/0.49	Axiom 1 (ax1): fresh57(X, X, Y, Z) = true2.
0.14/0.49	Axiom 2 (ax18): fresh49(X, X, Y, Z) = true2.
0.14/0.49	Axiom 3 (ax2): fresh47(X, X, Y, Z) = true2.
0.14/0.49	Axiom 4 (ax20): fresh46(X, X, Y, Z) = true2.
0.14/0.49	Axiom 5 (ax21): fresh45(X, X, Y, Z) = true2.
0.14/0.49	Axiom 6 (ax3): fresh36(X, X, Y, Z) = true2.
0.14/0.49	Axiom 7 (ax38): fresh27(X, X, Y, Z) = true2.
0.14/0.49	Axiom 8 (ax48): fresh16(X, X, Y, Z) = true2.
0.14/0.49	Axiom 9 (ax49): fresh15(X, X, Y, Z) = true2.
0.14/0.49	Axiom 10 (ax59): fresh(X, X, Y, Z) = Z.
0.14/0.49	Axiom 11 (ax60_6): fresh11(X, X, Y, Z) = true2.
0.14/0.49	Axiom 12 (co1_20): fresh6(X, X, Y) = true2.
0.14/0.49	Axiom 13 (co1_21): fresh5(X, X, Y) = true2.
0.14/0.49	Axiom 14 (co1_24): fresh2(X, X, Y) = true2.
0.14/0.49	Axiom 15 (ax59): fresh(be(X, Y, Z, W), true2, Z, W) = Z.
0.14/0.49	Axiom 16 (ax21): fresh45(instrumentality(X, Y), true2, X, Y) = artifact(X, Y).
0.14/0.49	Axiom 17 (ax48): fresh16(man(X, Y), true2, X, Y) = human_person(X, Y).
0.14/0.49	Axiom 18 (ax18): fresh49(object(X, Y), true2, X, Y) = nonliving(X, Y).
0.14/0.49	Axiom 19 (ax38): fresh27(human_person(X, Y), true2, X, Y) = animate(X, Y).
0.14/0.49	Axiom 20 (ax49): fresh15(fellow(X, Y), true2, X, Y) = man(X, Y).
0.14/0.49	Axiom 21 (ax20): fresh46(artifact(X, Y), true2, X, Y) = object(X, Y).
0.14/0.49	Axiom 22 (ax60_6): fresh11(two(X, Y), true2, X, Y) = member(X, sK9_ax60_X(X, Y), Y).
0.14/0.49	Axiom 23 (ax1): fresh57(furniture(X, Y), true2, X, Y) = instrumentality(X, Y).
0.14/0.49	Axiom 24 (ax3): fresh36(frontseat(X, Y), true2, X, Y) = seat(X, Y).
0.14/0.49	Axiom 25 (ax2): fresh47(seat(X, Y), true2, X, Y) = furniture(X, Y).
0.14/0.49	Axiom 26 (co1_5): two(sK8_co1_U, sK3_co1_Z) = true2.
0.14/0.49	Axiom 27 (co1_20): fresh6(member(sK8_co1_U, X, sK3_co1_Z), true2, X) = be(sK8_co1_U, sK1_co1_X2(X), X, sK2_co1_X3(X)).
0.14/0.49	Axiom 28 (co1_21): fresh5(member(sK8_co1_U, X, sK3_co1_Z), true2, X) = frontseat(sK8_co1_U, sK2_co1_X3(X)).
0.14/0.49	Axiom 29 (co1_24): fresh2(member(sK8_co1_U, X, sK3_co1_Z), true2, X) = fellow(sK8_co1_U, X).
0.14/0.49	
0.14/0.49	Lemma 30: member(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK3_co1_Z) = true2.
0.14/0.49	Proof:
0.14/0.49	  member(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK3_co1_Z)
0.14/0.49	= { by axiom 22 (ax60_6) }
0.14/0.49	  fresh11(two(sK8_co1_U, sK3_co1_Z), true2, sK8_co1_U, sK3_co1_Z)
0.14/0.49	= { by axiom 26 (co1_5) }
0.14/0.49	  fresh11(true2, true2, sK8_co1_U, sK3_co1_Z)
0.14/0.49	= { by axiom 11 (ax60_6) }
0.14/0.52	  true2
0.14/0.52	
0.14/0.52	Goal 1 (ax50): tuple(nonliving(X, Y), animate(X, Y)) = tuple(true2, true2).
0.14/0.52	The goal is true when:
0.14/0.52	  X = sK8_co1_U
0.14/0.52	  Y = sK9_ax60_X(sK8_co1_U, sK3_co1_Z)
0.14/0.52	
0.14/0.52	Proof:
0.14/0.52	  tuple(nonliving(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 15 (ax59) }
0.14/0.52	  tuple(nonliving(sK8_co1_U, fresh(be(sK8_co1_U, sK1_co1_X2(sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 27 (co1_20) }
0.14/0.52	  tuple(nonliving(sK8_co1_U, fresh(fresh6(member(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK3_co1_Z), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by lemma 30 }
0.14/0.52	  tuple(nonliving(sK8_co1_U, fresh(fresh6(true2, true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 12 (co1_20) }
0.14/0.52	  tuple(nonliving(sK8_co1_U, fresh(true2, true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 10 (ax59) }
0.14/0.52	  tuple(nonliving(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 18 (ax18) }
0.14/0.52	  tuple(fresh49(object(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 21 (ax20) }
0.14/0.52	  tuple(fresh49(fresh46(artifact(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 16 (ax21) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(instrumentality(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 23 (ax1) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(furniture(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 25 (ax2) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(seat(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 24 (ax3) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(fresh36(frontseat(sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 28 (co1_21) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(fresh36(fresh5(member(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK3_co1_Z), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by lemma 30 }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(fresh36(fresh5(true2, true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 13 (co1_21) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(fresh36(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 6 (ax3) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(fresh47(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 3 (ax2) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(fresh57(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 1 (ax1) }
0.14/0.52	  tuple(fresh49(fresh46(fresh45(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 5 (ax21) }
0.14/0.52	  tuple(fresh49(fresh46(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 4 (ax20) }
0.14/0.52	  tuple(fresh49(true2, true2, sK8_co1_U, sK2_co1_X3(sK9_ax60_X(sK8_co1_U, sK3_co1_Z))), animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 2 (ax18) }
0.14/0.52	  tuple(true2, animate(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 19 (ax38) }
0.14/0.52	  tuple(true2, fresh27(human_person(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 17 (ax48) }
0.14/0.52	  tuple(true2, fresh27(fresh16(man(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 20 (ax49) }
0.14/0.52	  tuple(true2, fresh27(fresh16(fresh15(fellow(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 29 (co1_24) }
0.14/0.52	  tuple(true2, fresh27(fresh16(fresh15(fresh2(member(sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z), sK3_co1_Z), true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by lemma 30 }
0.14/0.52	  tuple(true2, fresh27(fresh16(fresh15(fresh2(true2, true2, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 14 (co1_24) }
0.14/0.52	  tuple(true2, fresh27(fresh16(fresh15(true2, true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 9 (ax49) }
0.14/0.52	  tuple(true2, fresh27(fresh16(true2, true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)), true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 8 (ax48) }
0.14/0.52	  tuple(true2, fresh27(true2, true2, sK8_co1_U, sK9_ax60_X(sK8_co1_U, sK3_co1_Z)))
0.14/0.52	= { by axiom 7 (ax38) }
0.14/0.52	  tuple(true2, true2)
0.14/0.52	% SZS output end Proof
0.14/0.52	
0.14/0.52	RESULT: Theorem (the conjecture is true).
0.14/0.53	EOF