%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:40:46 AM UTC 2026
% Result : Theorem 1.18s 0.43s
% Output : Proof 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:02:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.18/0.43 Command-line arguments: --flatten-regeneralise
% 1.18/0.43
% 1.18/0.43 % SZS status Theorem
% 1.18/0.43
% 1.18/0.43 % SZS output start Proof
% 1.18/0.43 Axiom 1 (query27): mtvisible(c_tptp_spindlecollectormt) = true.
% 1.18/0.43 Axiom 2 (just9): genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt) = true.
% 1.18/0.43 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 1.18/0.43 Axiom 4 (just14): isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)) = true.
% 1.18/0.43 Axiom 5 (just34): ifeq(isa(X, c_tptpcol_16_31868), true, tptpcol_16_31868(X), true) = true.
% 1.18/0.43 Axiom 6 (just13): ifeq(mtvisible(c_tptp_member2610_mt), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true) = true.
% 1.18/0.43 Axiom 7 (just63): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 1.18/0.43 Axiom 8 (just1): ifeq(relationallexists(X, Y, Z), true, ifeq(isa(W, Y), true, isa(f_relationallexistsfn(W, X, Y, Z), Z), true), true) = true.
% 1.18/0.43 Axiom 9 (just12): ifeq(mtvisible(c_tptp_member2610_mt), true, ifeq(isa(X, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true, 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)), true), true) = true.
% 1.18/0.43
% 1.18/0.43 Goal 1 (query27_1): tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, X), tptpcol_16_31868(X)) = tuple2(true, true).
% 1.18/0.43 The goal is true when:
% 1.18/0.43 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)
% 1.18/0.43
% 1.18/0.43 Proof:
% 1.18/0.43 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)))
% 1.18/0.43 = { by axiom 3 (ifeq_axiom) R->L }
% 1.18/0.43 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)), ifeq(true, true, 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)), true))
% 1.18/0.44 = { by axiom 8 (just1) R->L }
% 1.18/0.44 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)), ifeq(ifeq(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true, ifeq(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true, 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), true), true), true, 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)), true))
% 1.18/0.44 = { by axiom 4 (just14) }
% 1.18/0.44 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)), ifeq(ifeq(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true, ifeq(true, true, 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), true), true), true, 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)), true))
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 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)), ifeq(ifeq(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(true, true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 7 (just63) R->L }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt), true, mtvisible(c_tptp_member2610_mt), true), true), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 2 (just9) }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 1 (query27) }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 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)), ifeq(ifeq(ifeq(mtvisible(c_tptp_member2610_mt), true, relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true), true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 6 (just13) }
% 1.18/0.44 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)), ifeq(ifeq(true, true, 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), true), true, 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)), true))
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 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)), ifeq(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), true, 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)), true))
% 1.18/0.44 = { by axiom 5 (just34) }
% 1.18/0.44 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)), true)
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 1.18/0.44 tuple2(ifeq(true, true, 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)), true), true)
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 1.18/0.44 tuple2(ifeq(true, true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 7 (just63) R->L }
% 1.18/0.44 tuple2(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt), true, mtvisible(c_tptp_member2610_mt), true), true), true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 2 (just9) }
% 1.18/0.44 tuple2(ifeq(ifeq(mtvisible(c_tptp_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true), true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 1 (query27) }
% 1.18/0.44 tuple2(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true), true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 tuple2(ifeq(ifeq(true, true, mtvisible(c_tptp_member2610_mt), true), true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 3 (ifeq_axiom) }
% 1.18/0.44 tuple2(ifeq(mtvisible(c_tptp_member2610_mt), true, ifeq(true, true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 4 (just14) R->L }
% 1.18/0.44 tuple2(ifeq(mtvisible(c_tptp_member2610_mt), true, ifeq(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)), true, 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)), true), true), true)
% 1.18/0.44 = { by axiom 9 (just12) }
% 1.18/0.44 tuple2(true, true)
% 1.18/0.44 % SZS output end Proof
% 1.18/0.44
% 1.18/0.44 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------