TSTP Solution File: CSR027+1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR027+1 : 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 : n012.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 21:41:02 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR027+1 : 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 : n012.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 09:55:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.53 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.21/0.53
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53
% 0.21/0.53 % SZS output start Proof
% 0.21/0.53 Take the following subset of the input axioms:
% 0.21/0.53 fof(just1, axiom, ![TERM, INDEPCOL, PRED, DEPCOL]: ((isa(TERM, INDEPCOL) & relationallexists(PRED, INDEPCOL, DEPCOL)) => isa(f_relationallexistsfn(TERM, PRED, INDEPCOL, DEPCOL), DEPCOL))).
% 0.21/0.53 fof(just12, axiom, ![TERM2]: ((mtvisible(c_tptp_member2610_mt) & isa(TERM2, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent))) => tptp_8_875(TERM2, f_relationallexistsfn(TERM2, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))).
% 0.21/0.53 fof(just13, axiom, mtvisible(c_tptp_member2610_mt) => relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)).
% 0.21/0.53 fof(just15, axiom, subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)).
% 0.21/0.53 fof(just16, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (isa(OBJ, COL2) & disjointwith(COL1, COL2)))).
% 0.21/0.53 fof(just34, axiom, ![X]: (isa(X, c_tptpcol_16_31868) => tptpcol_16_31868(X))).
% 0.21/0.53 fof(just49, axiom, ![X2]: (subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(X2) => isa(X2, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)))).
% 0.21/0.53 fof(just63, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.21/0.53 fof(just9, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt)).
% 0.21/0.53 fof(query27, conjecture, ?[X2]: (mtvisible(c_tptp_spindlecollectormt) => (tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, X2) & tptpcol_16_31868(X2)))).
% 0.21/0.53
% 0.21/0.53 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.53 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.53 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.53 fresh(y, y, x1...xn) = u
% 0.21/0.53 C => fresh(s, t, x1...xn) = v
% 0.21/0.53 where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.53 variables of u and v.
% 0.21/0.54 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.54 input problem has no model of domain size 1).
% 0.21/0.54
% 0.21/0.54 The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.54
% 0.21/0.54 Axiom 1 (just15): subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) = true2.
% 0.21/0.54 Axiom 2 (query27): mtvisible(c_tptp_spindlecollectormt) = true2.
% 0.21/0.54 Axiom 3 (just13): fresh61(X, X) = true2.
% 0.21/0.54 Axiom 4 (just9): genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt) = true2.
% 0.21/0.54 Axiom 5 (just12): fresh65(X, X, Y) = true2.
% 0.21/0.54 Axiom 6 (just34): fresh37(X, X, Y) = true2.
% 0.21/0.54 Axiom 7 (just49): fresh26(X, X, Y) = true2.
% 0.21/0.54 Axiom 8 (just63): fresh11(X, X, Y) = true2.
% 0.21/0.54 Axiom 9 (just63): fresh12(X, X, Y, Z) = mtvisible(Z).
% 0.21/0.54 Axiom 10 (just34): fresh37(isa(X, c_tptpcol_16_31868), true2, X) = tptpcol_16_31868(X).
% 0.21/0.54 Axiom 11 (just63): fresh12(mtvisible(X), true2, X, Y) = fresh11(genlmt(X, Y), true2, Y).
% 0.21/0.54 Axiom 12 (just49): fresh26(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(X), true2, X) = isa(X, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)).
% 0.21/0.54 Axiom 13 (just1): fresh63(X, X, Y, Z, W, V) = true2.
% 0.21/0.54 Axiom 14 (just13): fresh61(mtvisible(c_tptp_member2610_mt), true2) = relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868).
% 0.21/0.54 Axiom 15 (just1): fresh62(X, X, Y, Z, W, V) = isa(f_relationallexistsfn(Y, W, Z, V), V).
% 0.21/0.54 Axiom 16 (just12): fresh64(X, X, Y) = fresh65(isa(Y, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true2, Y).
% 0.21/0.54 Axiom 17 (just1): fresh62(relationallexists(X, Y, Z), true2, W, Y, X, Z) = fresh63(isa(W, Y), true2, W, Y, X, Z).
% 0.21/0.54 Axiom 18 (just12): fresh64(mtvisible(c_tptp_member2610_mt), true2, X) = tptp_8_875(X, f_relationallexistsfn(X, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)).
% 0.21/0.54
% 0.21/0.54 Lemma 19: mtvisible(c_tptp_member2610_mt) = true2.
% 0.21/0.54 Proof:
% 0.21/0.54 mtvisible(c_tptp_member2610_mt)
% 0.21/0.54 = { by axiom 9 (just63) R->L }
% 0.21/0.54 fresh12(true2, true2, c_tptp_spindlecollectormt, c_tptp_member2610_mt)
% 0.21/0.54 = { by axiom 2 (query27) R->L }
% 0.21/0.54 fresh12(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member2610_mt)
% 0.21/0.54 = { by axiom 11 (just63) }
% 0.21/0.54 fresh11(genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt), true2, c_tptp_member2610_mt)
% 0.21/0.54 = { by axiom 4 (just9) }
% 0.21/0.54 fresh11(true2, true2, c_tptp_member2610_mt)
% 0.21/0.54 = { by axiom 8 (just63) }
% 0.21/0.54 true2
% 0.21/0.54
% 0.21/0.54 Goal 1 (query27_1): tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, X), tptpcol_16_31868(X)) = tuple2(true2, true2).
% 0.21/0.54 The goal is true when:
% 0.21/0.54 X = f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)
% 0.21/0.54
% 0.21/0.54 Proof:
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 10 (just34) R->L }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 15 (just1) R->L }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh62(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 3 (just13) R->L }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh62(fresh61(true2, true2), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by lemma 19 R->L }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh62(fresh61(mtvisible(c_tptp_member2610_mt), true2), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 14 (just13) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh62(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 17 (just1) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh63(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 12 (just49) R->L }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh63(fresh26(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 1 (just15) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh63(fresh26(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 7 (just49) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(fresh63(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptp_8_875, c_tptpcol_16_31868), true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 13 (just1) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), fresh37(true2, true2, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)))
% 0.21/0.54 = { by axiom 6 (just34) }
% 0.21/0.54 tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868)), true2)
% 0.21/0.54 = { by axiom 18 (just12) R->L }
% 0.21/0.54 tuple2(fresh64(mtvisible(c_tptp_member2610_mt), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by lemma 19 }
% 0.21/0.54 tuple2(fresh64(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by axiom 16 (just12) }
% 0.21/0.54 tuple2(fresh65(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by axiom 12 (just49) R->L }
% 0.21/0.54 tuple2(fresh65(fresh26(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by axiom 1 (just15) }
% 0.21/0.54 tuple2(fresh65(fresh26(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by axiom 7 (just49) }
% 0.21/0.54 tuple2(fresh65(true2, true2, c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786), true2)
% 0.21/0.54 = { by axiom 5 (just12) }
% 0.21/0.54 tuple2(true2, true2)
% 0.21/0.54 % SZS output end Proof
% 0.21/0.54
% 0.21/0.54 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------