TSTP Solution File: CSR040+2 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR040+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:41:14 EDT 2023
% Result : Theorem 173.67s 22.60s
% Output : Proof 173.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR040+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 10:38:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 173.67/22.60 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 173.67/22.60
% 173.67/22.60 % SZS status Theorem
% 173.67/22.60
% 173.67/22.62 % SZS output start Proof
% 173.67/22.62 Take the following subset of the input axioms:
% 173.67/22.62 fof(ax1_114, axiom, ![OBJ]: (tptpcol_13_109173(OBJ) => tptpcol_12_109157(OBJ))).
% 173.67/22.62 fof(ax1_117, axiom, ![OBJ2]: (tptpcol_5_106498(OBJ2) => tptpcol_4_106497(OBJ2))).
% 173.67/22.62 fof(ax1_124, axiom, ![OBJ2]: (tptpcol_1_65536(OBJ2) => tptpcol_0_0(OBJ2))).
% 173.67/22.62 fof(ax1_151, axiom, ![OBJ2]: (fixedordercollection(OBJ2) => collection(OBJ2))).
% 173.67/22.62 fof(ax1_153, axiom, ![OBJ2]: ~(tptpcol_1_1(OBJ2) & tptpcol_1_65536(OBJ2))).
% 173.67/22.62 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 173.67/22.62 fof(ax1_185, axiom, ![OBJ2]: (tptpcol_8_109059(OBJ2) => tptpcol_7_108547(OBJ2))).
% 173.67/22.62 fof(ax1_205, axiom, ![OBJ2]: (firstordercollection(OBJ2) => fixedordercollection(OBJ2))).
% 173.67/22.62 fof(ax1_234, axiom, ![OBJ2]: (tptpcol_3_98305(OBJ2) => tptpcol_2_98304(OBJ2))).
% 173.67/22.62 fof(ax1_242, axiom, ![OBJ2]: (tptpcol_9_109060(OBJ2) => tptpcol_8_109059(OBJ2))).
% 173.67/22.62 fof(ax1_251, axiom, ![OBJ2]: (tptpcol_14_109181(OBJ2) => tptpcol_13_109173(OBJ2))).
% 173.67/22.62 fof(ax1_266, axiom, ![OBJ2]: (tptpcol_15_109185(OBJ2) => tptpcol_14_109181(OBJ2))).
% 173.67/22.62 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 173.67/22.62 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 173.67/22.62 fof(ax1_341, axiom, ![OBJ2]: (tptpcol_7_108547(OBJ2) => tptpcol_6_108546(OBJ2))).
% 173.67/22.62 fof(ax1_343, axiom, ![OBJ2]: (tptpcol_11_109125(OBJ2) => tptpcol_10_109061(OBJ2))).
% 173.67/22.62 fof(ax1_360, axiom, ![OBJ2]: (tptpcol_12_109157(OBJ2) => tptpcol_11_109125(OBJ2))).
% 173.67/22.62 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 173.67/22.62 fof(ax1_445, axiom, ![OBJ2]: (tptpcol_0_0(OBJ2) => individual(OBJ2))).
% 173.67/22.62 fof(ax1_459, axiom, ![OBJ2]: (tptpcol_6_108546(OBJ2) => tptpcol_5_106498(OBJ2))).
% 173.67/22.62 fof(ax1_475, axiom, firstordercollection(c_tptpcol_16_62187)).
% 173.67/22.62 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 173.67/22.62 fof(ax1_50, axiom, ![OBJ2]: (tptpcol_2_98304(OBJ2) => tptpcol_1_65536(OBJ2))).
% 173.67/22.62 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
% 173.67/22.62 fof(ax1_69, axiom, ![OBJ2]: (tptpcol_4_106497(OBJ2) => tptpcol_3_98305(OBJ2))).
% 173.67/22.62 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 173.67/22.62 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 173.67/22.62 fof(ax1_96, axiom, ![OBJ2]: (tptpcol_10_109061(OBJ2) => tptpcol_9_109060(OBJ2))).
% 173.67/22.62 fof(query90, conjecture, mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)), c_translation_14)) => ~tptpcol_15_109185(c_tptpcol_16_62187)).
% 173.67/22.62
% 173.67/22.62 Now clausify the problem and encode Horn clauses using encoding 3 of
% 173.67/22.62 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 173.67/22.62 We repeatedly replace C & s=t => u=v by the two clauses:
% 173.67/22.62 fresh(y, y, x1...xn) = u
% 173.67/22.62 C => fresh(s, t, x1...xn) = v
% 173.67/22.62 where fresh is a fresh function symbol and x1..xn are the free
% 173.67/22.62 variables of u and v.
% 173.67/22.62 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 173.67/22.62 input problem has no model of domain size 1).
% 173.67/22.62
% 173.67/22.62 The encoding turns the above axioms into the following unit equations and goals:
% 173.67/22.62
% 173.67/22.62 Axiom 1 (ax1_475): firstordercollection(c_tptpcol_16_62187) = true2.
% 173.67/22.62 Axiom 2 (query90_1): tptpcol_15_109185(c_tptpcol_16_62187) = true2.
% 173.67/22.62 Axiom 3 (ax1_114): fresh671(X, X, Y) = true2.
% 173.67/22.62 Axiom 4 (ax1_117): fresh670(X, X, Y) = true2.
% 173.67/22.62 Axiom 5 (ax1_124): fresh666(X, X, Y) = true2.
% 173.67/22.62 Axiom 6 (ax1_151): fresh654(X, X, Y) = true2.
% 173.67/22.62 Axiom 7 (ax1_185): fresh638(X, X, Y) = true2.
% 173.67/22.62 Axiom 8 (ax1_205): fresh627(X, X, Y) = true2.
% 173.67/22.62 Axiom 9 (ax1_234): fresh614(X, X, Y) = true2.
% 173.67/22.63 Axiom 10 (ax1_242): fresh609(X, X, Y) = true2.
% 173.67/22.63 Axiom 11 (ax1_251): fresh605(X, X, Y) = true2.
% 173.67/22.63 Axiom 12 (ax1_266): fresh599(X, X, Y) = true2.
% 173.67/22.63 Axiom 13 (ax1_341): fresh562(X, X, Y) = true2.
% 173.67/22.63 Axiom 14 (ax1_343): fresh561(X, X, Y) = true2.
% 173.67/22.63 Axiom 15 (ax1_360): fresh554(X, X, Y) = true2.
% 173.67/22.63 Axiom 16 (ax1_445): fresh510(X, X, Y) = true2.
% 173.67/22.63 Axiom 17 (ax1_459): fresh505(X, X, Y) = true2.
% 173.67/22.63 Axiom 18 (ax1_50): fresh479(X, X, Y) = true2.
% 173.67/22.63 Axiom 19 (ax1_69): fresh300(X, X, Y) = true2.
% 173.67/22.63 Axiom 20 (ax1_96): fresh36(X, X, Y) = true2.
% 173.67/22.63 Axiom 21 (ax1_114): fresh671(tptpcol_13_109173(X), true2, X) = tptpcol_12_109157(X).
% 173.67/22.63 Axiom 22 (ax1_117): fresh670(tptpcol_5_106498(X), true2, X) = tptpcol_4_106497(X).
% 173.67/22.63 Axiom 23 (ax1_124): fresh666(tptpcol_1_65536(X), true2, X) = tptpcol_0_0(X).
% 173.67/22.63 Axiom 24 (ax1_151): fresh654(fixedordercollection(X), true2, X) = collection(X).
% 173.67/22.63 Axiom 25 (ax1_185): fresh638(tptpcol_8_109059(X), true2, X) = tptpcol_7_108547(X).
% 173.67/22.63 Axiom 26 (ax1_205): fresh627(firstordercollection(X), true2, X) = fixedordercollection(X).
% 173.67/22.63 Axiom 27 (ax1_234): fresh614(tptpcol_3_98305(X), true2, X) = tptpcol_2_98304(X).
% 173.67/22.63 Axiom 28 (ax1_242): fresh609(tptpcol_9_109060(X), true2, X) = tptpcol_8_109059(X).
% 173.67/22.63 Axiom 29 (ax1_251): fresh605(tptpcol_14_109181(X), true2, X) = tptpcol_13_109173(X).
% 173.67/22.63 Axiom 30 (ax1_266): fresh599(tptpcol_15_109185(X), true2, X) = tptpcol_14_109181(X).
% 173.67/22.63 Axiom 31 (ax1_341): fresh562(tptpcol_7_108547(X), true2, X) = tptpcol_6_108546(X).
% 173.67/22.63 Axiom 32 (ax1_343): fresh561(tptpcol_11_109125(X), true2, X) = tptpcol_10_109061(X).
% 173.67/22.63 Axiom 33 (ax1_360): fresh554(tptpcol_12_109157(X), true2, X) = tptpcol_11_109125(X).
% 173.67/22.63 Axiom 34 (ax1_445): fresh510(tptpcol_0_0(X), true2, X) = individual(X).
% 173.67/22.63 Axiom 35 (ax1_459): fresh505(tptpcol_6_108546(X), true2, X) = tptpcol_5_106498(X).
% 173.67/22.63 Axiom 36 (ax1_50): fresh479(tptpcol_2_98304(X), true2, X) = tptpcol_1_65536(X).
% 173.67/22.63 Axiom 37 (ax1_69): fresh300(tptpcol_4_106497(X), true2, X) = tptpcol_3_98305(X).
% 173.67/22.63 Axiom 38 (ax1_96): fresh36(tptpcol_10_109061(X), true2, X) = tptpcol_9_109060(X).
% 173.67/22.63
% 173.67/22.63 Goal 1 (ax1_289): tuple2(individual(X), collection(X)) = tuple2(true2, true2).
% 173.67/22.63 The goal is true when:
% 173.67/22.63 X = c_tptpcol_16_62187
% 173.67/22.63
% 173.67/22.63 Proof:
% 173.67/22.63 tuple2(individual(c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 34 (ax1_445) R->L }
% 173.67/22.63 tuple2(fresh510(tptpcol_0_0(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 23 (ax1_124) R->L }
% 173.67/22.63 tuple2(fresh510(fresh666(tptpcol_1_65536(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 36 (ax1_50) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 27 (ax1_234) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 37 (ax1_69) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 22 (ax1_117) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 35 (ax1_459) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 31 (ax1_341) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 25 (ax1_185) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 28 (ax1_242) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 38 (ax1_96) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 32 (ax1_343) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.63 = { by axiom 33 (ax1_360) R->L }
% 173.67/22.63 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 21 (ax1_114) R->L }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 29 (ax1_251) R->L }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 30 (ax1_266) R->L }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 2 (query90_1) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 12 (ax1_266) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 11 (ax1_251) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 3 (ax1_114) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 15 (ax1_360) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 14 (ax1_343) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 20 (ax1_96) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 10 (ax1_242) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 7 (ax1_185) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 13 (ax1_341) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 17 (ax1_459) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 4 (ax1_117) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 19 (ax1_69) }
% 173.67/22.64 tuple2(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), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 9 (ax1_234) }
% 173.67/22.64 tuple2(fresh510(fresh666(fresh479(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 18 (ax1_50) }
% 173.67/22.64 tuple2(fresh510(fresh666(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 5 (ax1_124) }
% 173.67/22.64 tuple2(fresh510(true2, true2, c_tptpcol_16_62187), collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 16 (ax1_445) }
% 173.67/22.64 tuple2(true2, collection(c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 24 (ax1_151) R->L }
% 173.67/22.64 tuple2(true2, fresh654(fixedordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 26 (ax1_205) R->L }
% 173.67/22.64 tuple2(true2, fresh654(fresh627(firstordercollection(c_tptpcol_16_62187), true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 1 (ax1_475) }
% 173.67/22.64 tuple2(true2, fresh654(fresh627(true2, true2, c_tptpcol_16_62187), true2, c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 8 (ax1_205) }
% 173.67/22.64 tuple2(true2, fresh654(true2, true2, c_tptpcol_16_62187))
% 173.67/22.64 = { by axiom 6 (ax1_151) }
% 173.67/22.64 tuple2(true2, true2)
% 173.67/22.64 % SZS output end Proof
% 173.67/22.64
% 173.67/22.64 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------