0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.13/0.33	% Computer   : n013.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 960
0.13/0.33	% WCLimit    : 120
0.13/0.33	% DateTime   : Thu Jul  2 07:03:48 EDT 2020
0.13/0.33	% CPUTime    : 
57.29/8.38	% SZS status Theorem
57.29/8.38	
57.29/8.38	% SZS output start Proof
57.29/8.38	Take the following subset of the input axioms:
68.33/9.73	  fof(ax1_114, axiom, ![OBJ]: (tptpcol_12_109157(OBJ) <= tptpcol_13_109173(OBJ))).
68.33/9.73	  fof(ax1_117, axiom, ![OBJ]: (tptpcol_5_106498(OBJ) => tptpcol_4_106497(OBJ))).
68.33/9.73	  fof(ax1_124, axiom, ![OBJ]: (tptpcol_1_65536(OBJ) => tptpcol_0_0(OBJ))).
68.33/9.73	  fof(ax1_151, axiom, ![OBJ]: (fixedordercollection(OBJ) => collection(OBJ))).
68.33/9.73	  fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
68.33/9.73	  fof(ax1_167, axiom, ![OBJ]: ~(individual(OBJ) & setorcollection(OBJ))).
68.33/9.73	  fof(ax1_185, axiom, ![OBJ]: (tptpcol_8_109059(OBJ) => tptpcol_7_108547(OBJ))).
68.33/9.73	  fof(ax1_205, axiom, ![OBJ]: (firstordercollection(OBJ) => fixedordercollection(OBJ))).
68.33/9.73	  fof(ax1_234, axiom, ![OBJ]: (tptpcol_3_98305(OBJ) => tptpcol_2_98304(OBJ))).
68.33/9.73	  fof(ax1_242, axiom, ![OBJ]: (tptpcol_8_109059(OBJ) <= tptpcol_9_109060(OBJ))).
68.33/9.73	  fof(ax1_251, axiom, ![OBJ]: (tptpcol_14_109181(OBJ) => tptpcol_13_109173(OBJ))).
68.33/9.73	  fof(ax1_266, axiom, ![OBJ]: (tptpcol_14_109181(OBJ) <= tptpcol_15_109185(OBJ))).
68.33/9.73	  fof(ax1_289, axiom, ![OBJ]: ~(individual(OBJ) & collection(OBJ))).
68.33/9.73	  fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))).
68.33/9.73	  fof(ax1_341, axiom, ![OBJ]: (tptpcol_6_108546(OBJ) <= tptpcol_7_108547(OBJ))).
68.33/9.73	  fof(ax1_343, axiom, ![OBJ]: (tptpcol_11_109125(OBJ) => tptpcol_10_109061(OBJ))).
68.33/9.73	  fof(ax1_360, axiom, ![OBJ]: (tptpcol_12_109157(OBJ) => tptpcol_11_109125(OBJ))).
68.33/9.73	  fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL2) & (isa(OBJ, COL1) & disjointwith(COL1, COL2)))).
68.33/9.73	  fof(ax1_445, axiom, ![OBJ]: (tptpcol_0_0(OBJ) => individual(OBJ))).
68.33/9.73	  fof(ax1_459, axiom, ![OBJ]: (tptpcol_5_106498(OBJ) <= tptpcol_6_108546(OBJ))).
68.33/9.73	  fof(ax1_475, axiom, firstordercollection(c_tptpcol_16_62187)).
68.33/9.73	  fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_114688(OBJ) & tptpcol_3_98305(OBJ))).
68.33/9.73	  fof(ax1_50, axiom, ![OBJ]: (tptpcol_1_65536(OBJ) <= tptpcol_2_98304(OBJ))).
68.33/9.73	  fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
68.33/9.73	  fof(ax1_69, axiom, ![OBJ]: (tptpcol_4_106497(OBJ) => tptpcol_3_98305(OBJ))).
68.33/9.73	  fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)).
68.33/9.73	  fof(ax1_901, axiom, ![X]: ~borderson(X, X)).
68.33/9.73	  fof(ax1_96, axiom, ![OBJ]: (tptpcol_9_109060(OBJ) <= tptpcol_10_109061(OBJ))).
68.33/9.73	  fof(query90, conjecture, mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)), c_translation_14)) => ~tptpcol_15_109185(c_tptpcol_16_62187)).
68.33/9.73	
68.33/9.73	Now clausify the problem and encode Horn clauses using encoding 3 of
68.33/9.73	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
68.33/9.73	We repeatedly replace C & s=t => u=v by the two clauses:
68.33/9.73	  fresh(y, y, x1...xn) = u
68.33/9.73	  C => fresh(s, t, x1...xn) = v
68.33/9.73	where fresh is a fresh function symbol and x1..xn are the free
68.33/9.73	variables of u and v.
68.33/9.73	A predicate p(X) is encoded as p(X)=true (this is sound, because the
68.33/9.73	input problem has no model of domain size 1).
68.33/9.74	
68.33/9.74	The encoding turns the above axioms into the following unit equations and goals:
68.33/9.74	
68.33/9.74	Axiom 1 (ax1_114): fresh671(X, X, Y) = true2.
68.33/9.74	Axiom 2 (ax1_117): fresh670(X, X, Y) = true2.
68.33/9.74	Axiom 3 (ax1_124): fresh666(X, X, Y) = true2.
68.33/9.74	Axiom 4 (ax1_151): fresh654(X, X, Y) = true2.
68.33/9.74	Axiom 5 (ax1_185): fresh638(X, X, Y) = true2.
68.33/9.74	Axiom 6 (ax1_205): fresh627(X, X, Y) = true2.
68.33/9.74	Axiom 7 (ax1_234): fresh614(X, X, Y) = true2.
68.33/9.74	Axiom 8 (ax1_242): fresh609(X, X, Y) = true2.
68.33/9.74	Axiom 9 (ax1_251): fresh605(X, X, Y) = true2.
68.33/9.74	Axiom 10 (ax1_266): fresh599(X, X, Y) = true2.
68.33/9.74	Axiom 11 (ax1_341): fresh562(X, X, Y) = true2.
68.33/9.74	Axiom 12 (ax1_343): fresh561(X, X, Y) = true2.
68.33/9.74	Axiom 13 (ax1_360): fresh554(X, X, Y) = true2.
68.33/9.74	Axiom 14 (ax1_445): fresh510(X, X, Y) = true2.
68.33/9.74	Axiom 15 (ax1_459): fresh505(X, X, Y) = true2.
68.33/9.74	Axiom 16 (ax1_50): fresh479(X, X, Y) = true2.
68.33/9.74	Axiom 17 (ax1_69): fresh300(X, X, Y) = true2.
68.33/9.74	Axiom 18 (ax1_96): fresh36(X, X, Y) = true2.
68.33/9.74	Axiom 19 (ax1_343): fresh561(tptpcol_11_109125(X), true2, X) = tptpcol_10_109061(X).
68.33/9.74	Axiom 20 (ax1_114): fresh671(tptpcol_13_109173(X), true2, X) = tptpcol_12_109157(X).
68.33/9.74	Axiom 21 (ax1_475): firstordercollection(c_tptpcol_16_62187) = true2.
68.33/9.74	Axiom 22 (ax1_341): fresh562(tptpcol_7_108547(X), true2, X) = tptpcol_6_108546(X).
68.33/9.74	Axiom 23 (ax1_459): fresh505(tptpcol_6_108546(X), true2, X) = tptpcol_5_106498(X).
68.33/9.74	Axiom 24 (ax1_360): fresh554(tptpcol_12_109157(X), true2, X) = tptpcol_11_109125(X).
68.33/9.74	Axiom 25 (ax1_50): fresh479(tptpcol_2_98304(X), true2, X) = tptpcol_1_65536(X).
68.33/9.74	Axiom 26 (ax1_185): fresh638(tptpcol_8_109059(X), true2, X) = tptpcol_7_108547(X).
68.33/9.74	Axiom 27 (ax1_124): fresh666(tptpcol_1_65536(X), true2, X) = tptpcol_0_0(X).
68.33/9.74	Axiom 28 (ax1_445): fresh510(tptpcol_0_0(X), true2, X) = individual(X).
68.33/9.74	Axiom 29 (ax1_251): fresh605(tptpcol_14_109181(X), true2, X) = tptpcol_13_109173(X).
68.33/9.74	Axiom 30 (ax1_96): fresh36(tptpcol_10_109061(X), true2, X) = tptpcol_9_109060(X).
68.33/9.74	Axiom 31 (ax1_242): fresh609(tptpcol_9_109060(X), true2, X) = tptpcol_8_109059(X).
68.33/9.74	Axiom 32 (ax1_234): fresh614(tptpcol_3_98305(X), true2, X) = tptpcol_2_98304(X).
68.33/9.74	Axiom 33 (ax1_117): fresh670(tptpcol_5_106498(X), true2, X) = tptpcol_4_106497(X).
68.33/9.74	Axiom 34 (ax1_205): fresh627(firstordercollection(X), true2, X) = fixedordercollection(X).
68.33/9.74	Axiom 35 (ax1_266): fresh599(tptpcol_15_109185(X), true2, X) = tptpcol_14_109181(X).
68.33/9.74	Axiom 36 (ax1_151): fresh654(fixedordercollection(X), true2, X) = collection(X).
68.33/9.74	Axiom 37 (ax1_69): fresh300(tptpcol_4_106497(X), true2, X) = tptpcol_3_98305(X).
71.63/10.25	Axiom 38 (query90_1): tptpcol_15_109185(c_tptpcol_16_62187) = true2.
71.63/10.25	
71.63/10.25	Goal 1 (ax1_289): tuple2(collection(X), individual(X)) = tuple2(true2, true2).
71.63/10.25	The goal is true when:
71.63/10.25	  X = c_tptpcol_16_62187
71.63/10.25	
71.63/10.25	Proof:
71.63/10.25	  tuple2(collection(c_tptpcol_16_62187), individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 36 (ax1_151) }
71.63/10.25	  tuple2(fresh654(fixedordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 34 (ax1_205) }
71.63/10.25	  tuple2(fresh654(fresh627(firstordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 21 (ax1_475) }
71.63/10.25	  tuple2(fresh654(fresh627(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 6 (ax1_205) }
71.63/10.25	  tuple2(fresh654(true2, true2, c_tptpcol_16_62187), individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 4 (ax1_151) }
71.63/10.25	  tuple2(true2, individual(c_tptpcol_16_62187))
71.63/10.25	= { by axiom 28 (ax1_445) }
71.63/10.25	  tuple2(true2, fresh510(tptpcol_0_0(c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 27 (ax1_124) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(tptpcol_1_65536(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 25 (ax1_50) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(tptpcol_2_98304(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 32 (ax1_234) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(tptpcol_3_98305(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 37 (ax1_69) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(tptpcol_4_106497(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 33 (ax1_117) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(tptpcol_5_106498(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 23 (ax1_459) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(tptpcol_6_108546(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 22 (ax1_341) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(tptpcol_7_108547(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 26 (ax1_185) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(tptpcol_8_109059(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 31 (ax1_242) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(tptpcol_9_109060(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 30 (ax1_96) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(tptpcol_10_109061(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 19 (ax1_343) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(tptpcol_11_109125(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 24 (ax1_360) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(tptpcol_12_109157(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 20 (ax1_114) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(tptpcol_13_109173(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 29 (ax1_251) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(fresh605(tptpcol_14_109181(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 35 (ax1_266) }
71.63/10.25	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(fresh605(fresh599(tptpcol_15_109185(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.25	= { by axiom 38 (query90_1) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(fresh605(fresh599(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 10 (ax1_266) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(fresh605(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 9 (ax1_251) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(fresh671(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 1 (ax1_114) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(fresh554(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 13 (ax1_360) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(fresh561(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 12 (ax1_343) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(fresh36(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 18 (ax1_96) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(fresh609(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 8 (ax1_242) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(fresh638(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 5 (ax1_185) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(fresh562(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 11 (ax1_341) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(fresh505(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 15 (ax1_459) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(fresh670(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 2 (ax1_117) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(fresh300(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 17 (ax1_69) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(fresh614(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 7 (ax1_234) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(fresh479(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 16 (ax1_50) }
71.63/10.26	  tuple2(true2, fresh510(fresh666(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 3 (ax1_124) }
71.63/10.26	  tuple2(true2, fresh510(true2, true2, c_tptpcol_16_62187))
71.63/10.26	= { by axiom 14 (ax1_445) }
71.63/10.26	  tuple2(true2, true2)
71.63/10.26	% SZS output end Proof
71.63/10.26	
71.63/10.26	RESULT: Theorem (the conjecture is true).
71.63/10.30	EOF