TSTP Solution File: CSR027-10 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n020.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 : Unsatisfiable 0.12s 0.44s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.07 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.06/0.26 % Computer : n020.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Aug 28 11:37:58 EDT 2023
% 0.06/0.27 % CPUTime :
% 0.12/0.44 Command-line arguments: --ground-connectedness --complete-subsets
% 0.12/0.44
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44
% 0.12/0.44 % SZS output start Proof
% 0.12/0.44 Axiom 1 (query27): mtvisible(c_tptp_spindlecollectormt) = true.
% 0.12/0.44 Axiom 2 (just9): genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt) = true.
% 0.12/0.44 Axiom 3 (ifeq_axiom_001): ifeq2(X, X, Y, Z) = Y.
% 0.12/0.44 Axiom 4 (ifeq_axiom): ifeq3(X, X, Y, Z) = Y.
% 0.12/0.44 Axiom 5 (just14): isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent)) = true.
% 0.12/0.44 Axiom 6 (just34): ifeq3(isa(X, c_tptpcol_16_31868), true, tptpcol_16_31868(X), true) = true.
% 0.12/0.44 Axiom 7 (query27_1): ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786, X), tptpcol_16_31868(X)), tuple2(true, true), a, b) = b.
% 0.12/0.44 Axiom 8 (just13): ifeq3(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.
% 0.12/0.44 Axiom 9 (just63): ifeq3(genlmt(X, Y), true, ifeq3(mtvisible(X), true, mtvisible(Y), true), true) = true.
% 0.12/0.44 Axiom 10 (just1): ifeq3(relationallexists(X, Y, Z), true, ifeq3(isa(W, Y), true, isa(f_relationallexistsfn(W, X, Y, Z), Z), true), true) = true.
% 0.12/0.44 Axiom 11 (just12): ifeq3(mtvisible(c_tptp_member2610_mt), true, ifeq3(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.
% 0.12/0.44
% 0.12/0.44 Lemma 12: mtvisible(c_tptp_member2610_mt) = true.
% 0.12/0.44 Proof:
% 0.12/0.44 mtvisible(c_tptp_member2610_mt)
% 0.12/0.44 = { by axiom 4 (ifeq_axiom) R->L }
% 0.12/0.44 ifeq3(true, true, mtvisible(c_tptp_member2610_mt), true)
% 0.12/0.44 = { by axiom 1 (query27) R->L }
% 0.12/0.44 ifeq3(mtvisible(c_tptp_spindlecollectormt), true, mtvisible(c_tptp_member2610_mt), true)
% 0.12/0.44 = { by axiom 4 (ifeq_axiom) R->L }
% 0.12/0.44 ifeq3(true, true, ifeq3(mtvisible(c_tptp_spindlecollectormt), true, mtvisible(c_tptp_member2610_mt), true), true)
% 0.12/0.44 = { by axiom 2 (just9) R->L }
% 0.12/0.44 ifeq3(genlmt(c_tptp_spindlecollectormt, c_tptp_member2610_mt), true, ifeq3(mtvisible(c_tptp_spindlecollectormt), true, mtvisible(c_tptp_member2610_mt), true), true)
% 0.12/0.44 = { by axiom 9 (just63) }
% 0.12/0.44 true
% 0.12/0.44
% 0.12/0.44 Goal 1 (goal): a = b.
% 0.12/0.44 Proof:
% 0.12/0.44 a
% 0.12/0.44 = { by axiom 3 (ifeq_axiom_001) R->L }
% 0.12/0.44 ifeq2(tuple2(true, true), tuple2(true, true), a, b)
% 0.12/0.44 = { by axiom 11 (just12) R->L }
% 0.12/0.45 ifeq2(tuple2(ifeq3(mtvisible(c_tptp_member2610_mt), true, ifeq3(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), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 5 (just14) }
% 0.12/0.45 ifeq2(tuple2(ifeq3(mtvisible(c_tptp_member2610_mt), true, ifeq3(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), tuple2(true, true), a, b)
% 0.12/0.45 = { by lemma 12 }
% 0.12/0.45 ifeq2(tuple2(ifeq3(true, true, ifeq3(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), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.12/0.45 ifeq2(tuple2(ifeq3(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), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.12/0.45 ifeq2(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), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 6 (just34) R->L }
% 0.12/0.45 ifeq2(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)), ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 8 (just13) R->L }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by lemma 12 }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true, ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 5 (just14) R->L }
% 0.12/0.45 ifeq2(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)), ifeq3(ifeq3(relationallexists(c_tptp_8_875, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval, c_directionoftranslation_throughout, c_movement_translationevent), c_tptpcol_16_31868), true, ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 10 (just1) }
% 0.12/0.45 ifeq2(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)), ifeq3(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)), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.12/0.45 ifeq2(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))), tuple2(true, true), a, b)
% 0.12/0.45 = { by axiom 7 (query27_1) }
% 0.12/0.45 b
% 0.12/0.45 % SZS output end Proof
% 0.12/0.45
% 0.12/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------