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 : n027.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 12:54:25 EDT 2021 0.13/0.34 % CPUTime : 126.64/16.28 % SZS status Theorem 126.64/16.28 126.64/16.30 % SZS output start Proof 126.64/16.30 Take the following subset of the input axioms: 126.64/16.30 fof(ax1_114, axiom, ![OBJ]: (tptpcol_13_109173(OBJ) => tptpcol_12_109157(OBJ))). 126.64/16.30 fof(ax1_117, axiom, ![OBJ]: (tptpcol_5_106498(OBJ) => tptpcol_4_106497(OBJ))). 126.64/16.30 fof(ax1_124, axiom, ![OBJ]: (tptpcol_1_65536(OBJ) => tptpcol_0_0(OBJ))). 126.64/16.30 fof(ax1_151, axiom, ![OBJ]: (collection(OBJ) <= fixedordercollection(OBJ))). 126.64/16.30 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))). 126.64/16.30 fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))). 126.64/16.30 fof(ax1_185, axiom, ![OBJ]: (tptpcol_8_109059(OBJ) => tptpcol_7_108547(OBJ))). 126.64/16.30 fof(ax1_205, axiom, ![OBJ]: (firstordercollection(OBJ) => fixedordercollection(OBJ))). 126.64/16.30 fof(ax1_234, axiom, ![OBJ]: (tptpcol_3_98305(OBJ) => tptpcol_2_98304(OBJ))). 126.64/16.30 fof(ax1_242, axiom, ![OBJ]: (tptpcol_8_109059(OBJ) <= tptpcol_9_109060(OBJ))). 126.64/16.30 fof(ax1_251, axiom, ![OBJ]: (tptpcol_13_109173(OBJ) <= tptpcol_14_109181(OBJ))). 126.64/16.30 fof(ax1_266, axiom, ![OBJ]: (tptpcol_14_109181(OBJ) <= tptpcol_15_109185(OBJ))). 126.64/16.30 fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))). 126.64/16.30 fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))). 126.64/16.30 fof(ax1_341, axiom, ![OBJ]: (tptpcol_6_108546(OBJ) <= tptpcol_7_108547(OBJ))). 126.64/16.30 fof(ax1_343, axiom, ![OBJ]: (tptpcol_11_109125(OBJ) => tptpcol_10_109061(OBJ))). 126.64/16.30 fof(ax1_360, axiom, ![OBJ]: (tptpcol_11_109125(OBJ) <= tptpcol_12_109157(OBJ))). 126.64/16.30 fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))). 126.64/16.30 fof(ax1_445, axiom, ![OBJ]: (individual(OBJ) <= tptpcol_0_0(OBJ))). 126.64/16.30 fof(ax1_459, axiom, ![OBJ]: (tptpcol_5_106498(OBJ) <= tptpcol_6_108546(OBJ))). 126.64/16.30 fof(ax1_475, axiom, firstordercollection(c_tptpcol_16_62187)). 126.64/16.30 fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))). 126.64/16.30 fof(ax1_50, axiom, ![OBJ]: (tptpcol_2_98304(OBJ) => tptpcol_1_65536(OBJ))). 126.64/16.30 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)). 126.64/16.30 fof(ax1_69, axiom, ![OBJ]: (tptpcol_4_106497(OBJ) => tptpcol_3_98305(OBJ))). 126.64/16.30 fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)). 126.64/16.30 fof(ax1_901, axiom, ![X]: ~borderson(X, X)). 126.64/16.30 fof(ax1_96, axiom, ![OBJ]: (tptpcol_10_109061(OBJ) => tptpcol_9_109060(OBJ))). 126.64/16.30 fof(query90, conjecture, ~tptpcol_15_109185(c_tptpcol_16_62187) <= mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)), c_translation_14))). 126.64/16.30 126.64/16.30 Now clausify the problem and encode Horn clauses using encoding 3 of 126.64/16.30 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf. 126.64/16.30 We repeatedly replace C & s=t => u=v by the two clauses: 126.64/16.30 fresh(y, y, x1...xn) = u 126.64/16.30 C => fresh(s, t, x1...xn) = v 126.64/16.30 where fresh is a fresh function symbol and x1..xn are the free 126.64/16.30 variables of u and v. 126.64/16.30 A predicate p(X) is encoded as p(X)=true (this is sound, because the 126.64/16.30 input problem has no model of domain size 1). 126.64/16.30 126.64/16.30 The encoding turns the above axioms into the following unit equations and goals: 126.64/16.30 126.64/16.30 Axiom 1 (ax1_475): firstordercollection(c_tptpcol_16_62187) = true2. 126.64/16.30 Axiom 2 (query90_1): tptpcol_15_109185(c_tptpcol_16_62187) = true2. 126.64/16.30 Axiom 3 (ax1_114): fresh671(X, X, Y) = true2. 126.64/16.30 Axiom 4 (ax1_117): fresh670(X, X, Y) = true2. 126.64/16.30 Axiom 5 (ax1_124): fresh666(X, X, Y) = true2. 126.64/16.30 Axiom 6 (ax1_151): fresh654(X, X, Y) = true2. 126.64/16.30 Axiom 7 (ax1_185): fresh638(X, X, Y) = true2. 126.64/16.30 Axiom 8 (ax1_205): fresh627(X, X, Y) = true2. 126.64/16.30 Axiom 9 (ax1_234): fresh614(X, X, Y) = true2. 126.64/16.30 Axiom 10 (ax1_242): fresh609(X, X, Y) = true2. 126.64/16.30 Axiom 11 (ax1_251): fresh605(X, X, Y) = true2. 126.64/16.30 Axiom 12 (ax1_266): fresh599(X, X, Y) = true2. 126.64/16.30 Axiom 13 (ax1_341): fresh562(X, X, Y) = true2. 126.64/16.30 Axiom 14 (ax1_343): fresh561(X, X, Y) = true2. 126.64/16.30 Axiom 15 (ax1_360): fresh554(X, X, Y) = true2. 126.64/16.30 Axiom 16 (ax1_445): fresh510(X, X, Y) = true2. 126.64/16.30 Axiom 17 (ax1_459): fresh505(X, X, Y) = true2. 126.64/16.30 Axiom 18 (ax1_50): fresh479(X, X, Y) = true2. 126.64/16.30 Axiom 19 (ax1_69): fresh300(X, X, Y) = true2. 126.64/16.30 Axiom 20 (ax1_96): fresh36(X, X, Y) = true2. 126.64/16.30 Axiom 21 (ax1_114): fresh671(tptpcol_13_109173(X), true2, X) = tptpcol_12_109157(X). 126.64/16.30 Axiom 22 (ax1_117): fresh670(tptpcol_5_106498(X), true2, X) = tptpcol_4_106497(X). 126.64/16.30 Axiom 23 (ax1_124): fresh666(tptpcol_1_65536(X), true2, X) = tptpcol_0_0(X). 126.64/16.30 Axiom 24 (ax1_151): fresh654(fixedordercollection(X), true2, X) = collection(X). 126.64/16.30 Axiom 25 (ax1_185): fresh638(tptpcol_8_109059(X), true2, X) = tptpcol_7_108547(X). 126.64/16.30 Axiom 26 (ax1_205): fresh627(firstordercollection(X), true2, X) = fixedordercollection(X). 126.64/16.30 Axiom 27 (ax1_234): fresh614(tptpcol_3_98305(X), true2, X) = tptpcol_2_98304(X). 126.64/16.30 Axiom 28 (ax1_242): fresh609(tptpcol_9_109060(X), true2, X) = tptpcol_8_109059(X). 126.64/16.30 Axiom 29 (ax1_251): fresh605(tptpcol_14_109181(X), true2, X) = tptpcol_13_109173(X). 126.64/16.30 Axiom 30 (ax1_266): fresh599(tptpcol_15_109185(X), true2, X) = tptpcol_14_109181(X). 126.64/16.30 Axiom 31 (ax1_341): fresh562(tptpcol_7_108547(X), true2, X) = tptpcol_6_108546(X). 126.64/16.30 Axiom 32 (ax1_343): fresh561(tptpcol_11_109125(X), true2, X) = tptpcol_10_109061(X). 126.64/16.30 Axiom 33 (ax1_360): fresh554(tptpcol_12_109157(X), true2, X) = tptpcol_11_109125(X). 126.64/16.30 Axiom 34 (ax1_445): fresh510(tptpcol_0_0(X), true2, X) = individual(X). 126.64/16.30 Axiom 35 (ax1_459): fresh505(tptpcol_6_108546(X), true2, X) = tptpcol_5_106498(X). 126.64/16.30 Axiom 36 (ax1_50): fresh479(tptpcol_2_98304(X), true2, X) = tptpcol_1_65536(X). 126.64/16.30 Axiom 37 (ax1_69): fresh300(tptpcol_4_106497(X), true2, X) = tptpcol_3_98305(X). 126.64/16.31 Axiom 38 (ax1_96): fresh36(tptpcol_10_109061(X), true2, X) = tptpcol_9_109060(X). 126.64/16.31 126.64/16.31 Goal 1 (ax1_289): tuple2(collection(X), individual(X)) = tuple2(true2, true2). 126.64/16.31 The goal is true when: 126.64/16.31 X = c_tptpcol_16_62187 126.64/16.31 126.64/16.31 Proof: 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), individual(c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 34 (ax1_445) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), fresh510(tptpcol_0_0(c_tptpcol_16_62187), true2, c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 23 (ax1_124) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), fresh510(fresh666(tptpcol_1_65536(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 36 (ax1_50) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 27 (ax1_234) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 37 (ax1_69) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 22 (ax1_117) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 35 (ax1_459) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 31 (ax1_341) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 25 (ax1_185) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 28 (ax1_242) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 38 (ax1_96) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 32 (ax1_343) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 33 (ax1_360) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 21 (ax1_114) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 29 (ax1_251) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 30 (ax1_266) R->L } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 2 (query90_1) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 12 (ax1_266) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 11 (ax1_251) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 3 (ax1_114) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 15 (ax1_360) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 14 (ax1_343) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 20 (ax1_96) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 10 (ax1_242) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 7 (ax1_185) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 13 (ax1_341) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 17 (ax1_459) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 4 (ax1_117) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 19 (ax1_69) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), 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)) 126.64/16.31 = { by axiom 9 (ax1_234) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), fresh510(fresh666(fresh479(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 18 (ax1_50) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), fresh510(fresh666(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 5 (ax1_124) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), fresh510(true2, true2, c_tptpcol_16_62187)) 126.64/16.31 = { by axiom 16 (ax1_445) } 126.64/16.31 tuple2(collection(c_tptpcol_16_62187), true2) 126.64/16.31 = { by axiom 24 (ax1_151) R->L } 126.64/16.31 tuple2(fresh654(fixedordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2) 126.64/16.31 = { by axiom 26 (ax1_205) R->L } 126.64/16.31 tuple2(fresh654(fresh627(firstordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2) 126.64/16.31 = { by axiom 1 (ax1_475) } 126.64/16.31 tuple2(fresh654(fresh627(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2) 126.64/16.31 = { by axiom 8 (ax1_205) } 126.64/16.31 tuple2(fresh654(true2, true2, c_tptpcol_16_62187), true2) 126.64/16.31 = { by axiom 6 (ax1_151) } 126.64/16.31 tuple2(true2, true2) 126.64/16.31 % SZS output end Proof 126.64/16.31 126.64/16.31 RESULT: Theorem (the conjecture is true). 126.64/16.35 EOF