TSTP Solution File: CSR038+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 : 600s
% DateTime : Fri Jul 15 02:50:27 EDT 2022
% Result : Theorem 6.65s 2.27s
% Output : Proof 9.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR038+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 11 10:31:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.61/0.61 ____ _
% 0.61/0.61 ___ / __ \_____(_)___ ________ __________
% 0.61/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.61
% 0.61/0.61 A Theorem Prover for First-Order Logic
% 0.61/0.61 (ePrincess v.1.0)
% 0.61/0.61
% 0.61/0.61 (c) Philipp Rümmer, 2009-2015
% 0.61/0.61 (c) Peter Backeman, 2014-2015
% 0.61/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.61 Bug reports to peter@backeman.se
% 0.61/0.61
% 0.61/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.61
% 0.61/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.62/1.02 Prover 0: Preprocessing ...
% 2.42/1.29 Prover 0: Constructing countermodel ...
% 3.50/1.57 Prover 0: gave up
% 3.50/1.57 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.85/1.63 Prover 1: Preprocessing ...
% 4.77/1.81 Prover 1: Constructing countermodel ...
% 5.31/1.93 Prover 1: gave up
% 5.31/1.93 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.31/1.98 Prover 2: Preprocessing ...
% 6.20/2.14 Prover 2: Warning: ignoring some quantifiers
% 6.20/2.15 Prover 2: Constructing countermodel ...
% 6.65/2.27 Prover 2: proved (335ms)
% 6.65/2.27
% 6.65/2.27 No countermodel exists, formula is valid
% 6.65/2.27 % SZS status Theorem for theBenchmark
% 6.65/2.27
% 6.65/2.27 Generating proof ... Warning: ignoring some quantifiers
% 8.32/2.68 found it (size 29)
% 8.32/2.68
% 8.32/2.68 % SZS output start Proof for theBenchmark
% 8.32/2.68 Assumed formulas after preprocessing and simplification:
% 8.32/2.68 | (0) ? [v0] : (resultisaarg(c_relationexistsallfn, n_3) = 0 & genlmt(c_basekb, c_universalvocabularymt) = 0 & genlmt(c_knowledgefragmentd3mt, c_basekb) = 0 & mtvisible(c_universalvocabularymt) = 0 & mtvisible(c_basekb) = 0 & mtvisible(c_knowledgefragmentd3mt) = 0 & transitivebinarypredicate(c_genlmt) = 0 & subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0 & f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription) = v0 & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, v0) = 0 & isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, v0) = 0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = v1 | ~ (f_relationexistsallfn(v6, v5, v4, v3) = v2) | ~ (f_relationexistsallfn(v6, v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (natargument(v5, v4, v3) = v2) | ~ (natargument(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (f_subcollectionofwithrelationtotypefn(v5, v4, v3) = v2) | ~ (f_subcollectionofwithrelationtotypefn(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (relationexistsall(v5, v4, v3) = v2) | ~ (relationexistsall(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v3, v4, v2) = v5) | ? [v6] : ((v6 = 0 & isa(v5, v4) = 0) | ( ~ (v6 = 0) & relationexistsall(v3, v4, v2) = v6) | ( ~ (v6 = 0) & isa(v1, v2) = v6))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | thing(v5) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | natargument(v5, n_4, v4) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | natargument(v5, n_2, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | natargument(v5, n_1, v1) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | natargument(v5, n_3, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (f_relationexistsallfn(v1, v2, v3, v4) = v5) | natfunction(v5, c_relationexistsallfn) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlmt(v2, v3) = 0) | ~ (genlmt(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & genlmt(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlmt(v1, v3) = v4) | ~ (genlmt(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genlmt(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genls(v3, v2) = 0) | ~ (disjointwith(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & disjointwith(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genls(v3, v1) = 0) | ~ (disjointwith(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & disjointwith(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genls(v2, v3) = 0) | ~ (isa(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & isa(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v3, v1) = 0) | ~ (genlinverse(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & genlinverse(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v2, v3) = 0) | ~ (genlpreds(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & genlpreds(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v2, v3) = 0) | ~ (genlinverse(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & genlinverse(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v1, v3) = v4) | ~ (genlpreds(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genlpreds(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v1, v3) = v4) | ~ (genlinverse(v2, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & genlinverse(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlpreds(v1, v3) = v4) | ~ (genlinverse(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genlinverse(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlinverse(v3, v2) = v4) | ~ (genlinverse(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genlpreds(v3, v1) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (genlinverse(v1, v3) = v4) | ~ (genlinverse(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genlpreds(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (disjointwith(v3, v2) = v4) | ~ (disjointwith(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genls(v3, v1) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (disjointwith(v1, v3) = v4) | ~ (disjointwith(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genls(v3, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (isa(v1, v3) = v4) | ~ (isa(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & genls(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (resultisaarg(v4, v3) = v2) | ~ (resultisaarg(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (genlmt(v4, v3) = v2) | ~ (genlmt(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (natfunction(v4, v3) = v2) | ~ (natfunction(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (products(v4, v3) = v2) | ~ (products(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (genls(v4, v3) = v2) | ~ (genls(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (genlpreds(v4, v3) = v2) | ~ (genlpreds(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (genlinverse(v4, v3) = v2) | ~ (genlinverse(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (disjointwith(v4, v3) = v2) | ~ (disjointwith(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (tptp_8_968(v4, v3) = v2) | ~ (tptp_8_968(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (isa(v4, v3) = v2) | ~ (isa(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationtotypefn(v1, v2, v3) = v4) | natargument(v4, n_2, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationtotypefn(v1, v2, v3) = v4) | natargument(v4, n_1, v1) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationtotypefn(v1, v2, v3) = v4) | natargument(v4, n_3, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationtotypefn(v1, v2, v3) = v4) | natfunction(v4, c_subcollectionofwithrelationtotypefn) = 0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationtotypefn(v1, v2, v3) = v4) | collection(v4) = 0) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (function_denotational(v3) = v2) | ~ (function_denotational(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (positiveinteger(v3) = v2) | ~ (positiveinteger(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (microtheory(v3) = v2) | ~ (microtheory(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (mtvisible(v3) = v2) | ~ (mtvisible(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (thing(v3) = v2) | ~ (thing(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (transitivebinarypredicate(v3) = v2) | ~ (transitivebinarypredicate(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (tptpcol_7_7172(v3) = v2) | ~ (tptpcol_7_7172(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (tptpcol_16_7738(v3) = v2) | ~ (tptpcol_16_7738(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v3) = v2) | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (issuingaprescription(v3) = v2) | ~ (issuingaprescription(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (creationordestructionevent(v3) = v2) | ~ (creationordestructionevent(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (artifact(v3) = v2) | ~ (artifact(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (correctivelensprescription(v3) = v2) | ~ (correctivelensprescription(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (collection(v3) = v2) | ~ (collection(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (binarypredicate(v3) = v2) | ~ (binarypredicate(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (predicate(v3) = v2) | ~ (predicate(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genlmt(v2, v3) = 0) | ~ (genlmt(v1, v2) = 0) | genlmt(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genls(v3, v2) = 0) | ~ (disjointwith(v1, v2) = 0) | disjointwith(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genls(v3, v1) = 0) | ~ (disjointwith(v1, v2) = 0) | disjointwith(v3, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genls(v2, v3) = 0) | ~ (isa(v1, v2) = 0) | isa(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genlpreds(v3, v1) = 0) | ~ (genlinverse(v1, v2) = 0) | genlinverse(v3, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genlpreds(v2, v3) = 0) | ~ (genlpreds(v1, v2) = 0) | genlpreds(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genlpreds(v2, v3) = 0) | ~ (genlinverse(v1, v2) = 0) | genlinverse(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (genlinverse(v2, v3) = 0) | ~ (genlinverse(v1, v2) = 0) | genlpreds(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (disjointwith(v2, v3) = 0) | ~ (isa(v1, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & isa(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (disjointwith(v2, v3) = 0) | ~ (isa(v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & isa(v1, v3) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (relationexistsall(v1, v2, v3) = 0) | collection(v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (relationexistsall(v1, v2, v3) = 0) | collection(v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (relationexistsall(v1, v2, v3) = 0) | binarypredicate(v1) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (isa(v1, v3) = 0) | ~ (isa(v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v2, v3) = v4)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (genlmt(v1, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & microtheory(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (transitivebinarypredicate(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & isa(v1, c_transitivebinarypredicate) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (tptpcol_16_7738(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & isa(v1, c_tptpcol_16_7738) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & isa(v1, v0) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (issuingaprescription(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & isa(v1, c_issuingaprescription) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (correctivelensprescription(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & isa(v1, c_correctivelensprescription) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (genlpreds(v1, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & predicate(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (isa(v1, c_transitivebinarypredicate) = v2) | ? [v3] : ( ~ (v3 = 0) & transitivebinarypredicate(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (isa(v1, c_tptpcol_16_7738) = v2) | ? [v3] : ( ~ (v3 = 0) & tptpcol_16_7738(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (isa(v1, c_correctivelensprescription) = v2) | ? [v3] : ( ~ (v3 = 0) & correctivelensprescription(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (isa(v1, c_issuingaprescription) = v2) | ? [v3] : ( ~ (v3 = 0) & issuingaprescription(v1) = v3)) & ! [v1] : ! [v2] : ( ~ (resultisaarg(v1, v2) = 0) | function_denotational(v1) = 0) & ! [v1] : ! [v2] : ( ~ (resultisaarg(v1, v2) = 0) | positiveinteger(v2) = 0) & ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | microtheory(v2) = 0) & ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | microtheory(v1) = 0) & ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | ? [v3] : ((v3 = 0 & mtvisible(v2) = 0) | ( ~ (v3 = 0) & mtvisible(v1) = v3))) & ! [v1] : ! [v2] : ( ~ (products(v1, v2) = 0) | creationordestructionevent(v1) = 0) & ! [v1] : ! [v2] : ( ~ (products(v1, v2) = 0) | artifact(v2) = 0) & ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | predicate(v2) = 0) & ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | predicate(v1) = 0) & ! [v1] : ! [v2] : ( ~ (genlinverse(v1, v2) = 0) | binarypredicate(v2) = 0) & ! [v1] : ! [v2] : ( ~ (genlinverse(v1, v2) = 0) | binarypredicate(v1) = 0) & ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | collection(v2) = 0) & ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | collection(v1) = 0) & ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | disjointwith(v2, v1) = 0) & ! [v1] : ! [v2] : ( ~ (tptp_8_968(v1, v2) = 0) | tptpcol_7_7172(v1) = 0) & ! [v1] : ! [v2] : ( ~ (tptp_8_968(v1, v2) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) = 0) & ! [v1] : ! [v2] : ( ~ (f_relationexistsallfn(v1, c_tptp_8_968, c_tptpcol_16_7738, v0) = v2) | ? [v3] : ((v3 = 0 & tptp_8_968(v2, v1) = 0) | ( ~ (v3 = 0) & isa(v1, v0) = v3))) & ! [v1] : ! [v2] : ( ~ (isa(v1, v2) = 0) | thing(v1) = 0) & ! [v1] : ! [v2] : ( ~ (isa(v1, v2) = 0) | collection(v2) = 0) & ! [v1] : ( ~ (microtheory(v1) = 0) | genlmt(v1, v1) = 0) & ! [v1] : ( ~ (transitivebinarypredicate(v1) = 0) | isa(v1, c_transitivebinarypredicate) = 0) & ! [v1] : ( ~ (tptpcol_16_7738(v1) = 0) | isa(v1, c_tptpcol_16_7738) = 0) & ! [v1] : ( ~ (tptpcol_16_7738(v1) = 0) | ? [v2] : ( ~ (v2 = 0) & tptp_8_968(v1, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = v2)) & ! [v1] : ( ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = 0) | isa(v1, v0) = 0) & ! [v1] : ( ~ (issuingaprescription(v1) = 0) | isa(v1, c_issuingaprescription) = 0) & ! [v1] : ( ~ (correctivelensprescription(v1) = 0) | isa(v1, c_correctivelensprescription) = 0) & ! [v1] : ( ~ (predicate(v1) = 0) | genlpreds(v1, v1) = 0) & ! [v1] : ( ~ (tptp_8_968(v1, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0) | ? [v2] : ( ~ (v2 = 0) & tptpcol_16_7738(v1) = v2)) & ! [v1] : ( ~ (isa(v1, v0) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = 0) & ! [v1] : ( ~ (isa(v1, v0) = 0) | ? [v2] : (tptp_8_968(v2, v1) = 0 & f_relationexistsallfn(v1, c_tptp_8_968, c_tptpcol_16_7738, v0) = v2)) & ! [v1] : ( ~ (isa(v1, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v1) = 0) & ! [v1] : ( ~ (isa(v1, c_tptpcol_16_7738) = 0) | tptpcol_16_7738(v1) = 0) & ! [v1] : ( ~ (isa(v1, c_correctivelensprescription) = 0) | correctivelensprescription(v1) = 0) & ! [v1] : ( ~ (isa(v1, c_issuingaprescription) = 0) | issuingaprescription(v1) = 0) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : f_relationexistsallfn(v4, v3, v2, v1) = v5 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : natargument(v3, v2, v1) = v4 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : f_subcollectionofwithrelationtotypefn(v3, v2, v1) = v4 & ? [v1] : ? [v2] : ? [v3] : ? [v4] : relationexistsall(v3, v2, v1) = v4 & ? [v1] : ? [v2] : ? [v3] : resultisaarg(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : genlmt(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : natfunction(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : products(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : genls(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : genlpreds(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : genlinverse(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : disjointwith(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : tptp_8_968(v2, v1) = v3 & ? [v1] : ? [v2] : ? [v3] : isa(v2, v1) = v3 & ? [v1] : ? [v2] : function_denotational(v1) = v2 & ? [v1] : ? [v2] : positiveinteger(v1) = v2 & ? [v1] : ? [v2] : microtheory(v1) = v2 & ? [v1] : ? [v2] : mtvisible(v1) = v2 & ? [v1] : ? [v2] : thing(v1) = v2 & ? [v1] : ? [v2] : transitivebinarypredicate(v1) = v2 & ? [v1] : ? [v2] : tptpcol_7_7172(v1) = v2 & ? [v1] : ? [v2] : tptpcol_16_7738(v1) = v2 & ? [v1] : ? [v2] : subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = v2 & ? [v1] : ? [v2] : issuingaprescription(v1) = v2 & ? [v1] : ? [v2] : creationordestructionevent(v1) = v2 & ? [v1] : ? [v2] : artifact(v1) = v2 & ? [v1] : ? [v2] : correctivelensprescription(v1) = v2 & ? [v1] : ? [v2] : collection(v1) = v2 & ? [v1] : ? [v2] : binarypredicate(v1) = v2 & ? [v1] : ? [v2] : predicate(v1) = v2)
% 8.78/2.75 | Instantiating (0) with all_0_0_0 yields:
% 8.78/2.75 | (1) resultisaarg(c_relationexistsallfn, n_3) = 0 & genlmt(c_basekb, c_universalvocabularymt) = 0 & genlmt(c_knowledgefragmentd3mt, c_basekb) = 0 & mtvisible(c_universalvocabularymt) = 0 & mtvisible(c_basekb) = 0 & mtvisible(c_knowledgefragmentd3mt) = 0 & transitivebinarypredicate(c_genlmt) = 0 & subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0 & f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription) = all_0_0_0 & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = 0 & isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v1) | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v1) | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relationexistsall(v4, v3, v2) = v1) | ~ (relationexistsall(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v2, v3, v1) = v4) | ? [v5] : ((v5 = 0 & isa(v4, v3) = 0) | ( ~ (v5 = 0) & relationexistsall(v2, v3, v1) = v5) | ( ~ (v5 = 0) & isa(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | thing(v4) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_4, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natfunction(v4, c_relationexistsallfn) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlmt(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v0) = 0) | ~ (disjointwith(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v1, v2) = 0) | ~ (isa(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlpreds(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v2, v1) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v2, v1) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v0, v2) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v0, v2) = v3) | ~ (isa(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (products(v3, v2) = v1) | ~ (products(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_8_968(v3, v2) = v1) | ~ (tptp_8_968(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natfunction(v3, c_subcollectionofwithrelationtotypefn) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | collection(v3) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjointwith(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_7_7172(v2) = v1) | ~ (tptpcol_7_7172(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_16_7738(v2) = v1) | ~ (tptpcol_16_7738(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) = v1) | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (issuingaprescription(v2) = v1) | ~ (issuingaprescription(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (creationordestructionevent(v2) = v1) | ~ (creationordestructionevent(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (artifact(v2) = v1) | ~ (artifact(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (correctivelensprescription(v2) = v1) | ~ (correctivelensprescription(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v1) = 0) | genlmt(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v0) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | isa(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v1) = 0) | genlpreds(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (genlinverse(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlpreds(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | collection(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | collection(v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | binarypredicate(v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (isa(v0, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v1, v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (genlmt(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & microtheory(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (transitivebinarypredicate(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_transitivebinarypredicate) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (tptpcol_16_7738(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_tptpcol_16_7738) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, all_0_0_0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (issuingaprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_issuingaprescription) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (correctivelensprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_correctivelensprescription) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (genlpreds(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & predicate(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, all_0_0_0) = v1) | ? [v2] : ( ~ (v2 = 0) & subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_transitivebinarypredicate) = v1) | ? [v2] : ( ~ (v2 = 0) & transitivebinarypredicate(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_tptpcol_16_7738) = v1) | ? [v2] : ( ~ (v2 = 0) & tptpcol_16_7738(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_correctivelensprescription) = v1) | ? [v2] : ( ~ (v2 = 0) & correctivelensprescription(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_issuingaprescription) = v1) | ? [v2] : ( ~ (v2 = 0) & issuingaprescription(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | function_denotational(v0) = 0) & ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | positiveinteger(v1) = 0) & ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v1) = 0) & ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v0) = 0) & ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | ? [v2] : ((v2 = 0 & mtvisible(v1) = 0) | ( ~ (v2 = 0) & mtvisible(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (products(v0, v1) = 0) | creationordestructionevent(v0) = 0) & ! [v0] : ! [v1] : ( ~ (products(v0, v1) = 0) | artifact(v1) = 0) & ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v1) = 0) & ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v0) = 0) & ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v1) = 0) & ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v0) = 0) & ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v1) = 0) & ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v0) = 0) & ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | disjointwith(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (tptp_8_968(v0, v1) = 0) | tptpcol_7_7172(v0) = 0) & ! [v0] : ! [v1] : ( ~ (tptp_8_968(v0, v1) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = 0) & ! [v0] : ! [v1] : ( ~ (f_relationexistsallfn(v0, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v1) | ? [v2] : ((v2 = 0 & tptp_8_968(v1, v0) = 0) | ( ~ (v2 = 0) & isa(v0, all_0_0_0) = v2))) & ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | thing(v0) = 0) & ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | collection(v1) = 0) & ! [v0] : ( ~ (microtheory(v0) = 0) | genlmt(v0, v0) = 0) & ! [v0] : ( ~ (transitivebinarypredicate(v0) = 0) | isa(v0, c_transitivebinarypredicate) = 0) & ! [v0] : ( ~ (tptpcol_16_7738(v0) = 0) | isa(v0, c_tptpcol_16_7738) = 0) & ! [v0] : ( ~ (tptpcol_16_7738(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptp_8_968(v0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = v1)) & ! [v0] : ( ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = 0) | isa(v0, all_0_0_0) = 0) & ! [v0] : ( ~ (issuingaprescription(v0) = 0) | isa(v0, c_issuingaprescription) = 0) & ! [v0] : ( ~ (correctivelensprescription(v0) = 0) | isa(v0, c_correctivelensprescription) = 0) & ! [v0] : ( ~ (predicate(v0) = 0) | genlpreds(v0, v0) = 0) & ! [v0] : ( ~ (tptp_8_968(v0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0) | ? [v1] : ( ~ (v1 = 0) & tptpcol_16_7738(v0) = v1)) & ! [v0] : ( ~ (isa(v0, all_0_0_0) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = 0) & ! [v0] : ( ~ (isa(v0, all_0_0_0) = 0) | ? [v1] : (tptp_8_968(v1, v0) = 0 & f_relationexistsallfn(v0, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v1)) & ! [v0] : ( ~ (isa(v0, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v0) = 0) & ! [v0] : ( ~ (isa(v0, c_tptpcol_16_7738) = 0) | tptpcol_16_7738(v0) = 0) & ! [v0] : ( ~ (isa(v0, c_correctivelensprescription) = 0) | correctivelensprescription(v0) = 0) & ! [v0] : ( ~ (isa(v0, c_issuingaprescription) = 0) | issuingaprescription(v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : f_relationexistsallfn(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : natargument(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : f_subcollectionofwithrelationtotypefn(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : relationexistsall(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : resultisaarg(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : genlmt(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : natfunction(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : products(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : genls(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : genlpreds(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : genlinverse(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : disjointwith(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : tptp_8_968(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : isa(v1, v0) = v2 & ? [v0] : ? [v1] : function_denotational(v0) = v1 & ? [v0] : ? [v1] : positiveinteger(v0) = v1 & ? [v0] : ? [v1] : microtheory(v0) = v1 & ? [v0] : ? [v1] : mtvisible(v0) = v1 & ? [v0] : ? [v1] : thing(v0) = v1 & ? [v0] : ? [v1] : transitivebinarypredicate(v0) = v1 & ? [v0] : ? [v1] : tptpcol_7_7172(v0) = v1 & ? [v0] : ? [v1] : tptpcol_16_7738(v0) = v1 & ? [v0] : ? [v1] : subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v1 & ? [v0] : ? [v1] : issuingaprescription(v0) = v1 & ? [v0] : ? [v1] : creationordestructionevent(v0) = v1 & ? [v0] : ? [v1] : artifact(v0) = v1 & ? [v0] : ? [v1] : correctivelensprescription(v0) = v1 & ? [v0] : ? [v1] : collection(v0) = v1 & ? [v0] : ? [v1] : binarypredicate(v0) = v1 & ? [v0] : ? [v1] : predicate(v0) = v1
% 8.78/2.79 |
% 8.78/2.79 | Applying alpha-rule on (1) yields:
% 8.78/2.79 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | collection(v3) = 0)
% 8.78/2.79 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_3, v2) = 0)
% 8.78/2.79 | (4) ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v0) = 0)
% 8.78/2.79 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 8.78/2.79 | (6) mtvisible(c_basekb) = 0
% 8.78/2.79 | (7) ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | thing(v0) = 0)
% 8.78/2.79 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 8.78/2.79 | (9) ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | function_denotational(v0) = 0)
% 8.78/2.79 | (10) ! [v0] : ! [v1] : ( ~ (tptp_8_968(v0, v1) = 0) | tptpcol_7_7172(v0) = 0)
% 8.78/2.79 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | thing(v4) = 0)
% 8.78/2.79 | (12) ? [v0] : ? [v1] : ? [v2] : genls(v1, v0) = v2
% 8.78/2.79 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0))
% 8.78/2.79 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_1, v0) = 0)
% 8.78/2.79 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (artifact(v2) = v1) | ~ (artifact(v2) = v0))
% 8.78/2.79 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0))
% 8.78/2.79 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v0, v1) = v4))
% 8.78/2.79 | (18) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_transitivebinarypredicate) = v1) | ? [v2] : ( ~ (v2 = 0) & transitivebinarypredicate(v0) = v2))
% 8.78/2.79 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v1, v2) = v4))
% 8.78/2.79 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = v0))
% 8.78/2.79 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v1) = 0) | genlmt(v0, v2) = 0)
% 8.78/2.79 | (22) ? [v0] : ? [v1] : binarypredicate(v0) = v1
% 8.78/2.79 | (23) ? [v0] : ? [v1] : tptpcol_16_7738(v0) = v1
% 8.78/2.79 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0))
% 8.78/2.79 | (25) ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v1) = 0)
% 8.78/2.79 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0))
% 8.78/2.79 | (27) ! [v0] : ( ~ (isa(v0, c_correctivelensprescription) = 0) | correctivelensprescription(v0) = 0)
% 8.78/2.79 | (28) ! [v0] : ( ~ (correctivelensprescription(v0) = 0) | isa(v0, c_correctivelensprescription) = 0)
% 8.78/2.79 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v0) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v2, v1) = 0)
% 8.78/2.79 | (30) genlmt(c_knowledgefragmentd3mt, c_basekb) = 0
% 8.78/2.79 | (31) ? [v0] : ? [v1] : ? [v2] : genlinverse(v1, v0) = v2
% 8.78/2.79 | (32) ! [v0] : ! [v1] : (v1 = 0 | ~ (issuingaprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_issuingaprescription) = v2))
% 8.78/2.79 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_1, v0) = 0)
% 8.78/2.80 | (34) genlmt(c_basekb, c_universalvocabularymt) = 0
% 8.78/2.80 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_3, v2) = 0)
% 8.78/2.80 | (36) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_tptpcol_16_7738) = v1) | ? [v2] : ( ~ (v2 = 0) & tptpcol_16_7738(v0) = v2))
% 8.78/2.80 | (37) ! [v0] : ( ~ (tptp_8_968(v0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0) | ? [v1] : ( ~ (v1 = 0) & tptpcol_16_7738(v0) = v1))
% 8.78/2.80 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | binarypredicate(v0) = 0)
% 8.78/2.80 | (39) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | ? [v2] : ((v2 = 0 & mtvisible(v1) = 0) | ( ~ (v2 = 0) & mtvisible(v0) = v2)))
% 8.78/2.80 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0))
% 8.78/2.80 | (41) ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | positiveinteger(v1) = 0)
% 8.78/2.80 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0))
% 8.78/2.80 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v2) = v3))
% 8.78/2.80 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) = v1) | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v2) = v0))
% 8.78/2.80 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlinverse(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlpreds(v0, v2) = 0)
% 8.78/2.80 | (46) ? [v0] : ? [v1] : ? [v2] : genlpreds(v1, v0) = v2
% 8.78/2.81 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v1) | ~ (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v0))
% 8.78/2.81 | (48) ? [v0] : ? [v1] : ? [v2] : tptp_8_968(v1, v0) = v2
% 8.78/2.81 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natargument(v3, n_2, v1) = 0)
% 8.78/2.81 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlpreds(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4))
% 8.78/2.81 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v1) | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v0))
% 8.78/2.81 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_8_968(v3, v2) = v1) | ~ (tptp_8_968(v3, v2) = v0))
% 8.78/2.81 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | collection(v1) = 0)
% 8.78/2.81 | (54) ? [v0] : ? [v1] : ? [v2] : disjointwith(v1, v0) = v2
% 8.78/2.81 | (55) ! [v0] : ( ~ (predicate(v0) = 0) | genlpreds(v0, v0) = 0)
% 8.78/2.81 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0))
% 8.78/2.81 | (57) ? [v0] : ? [v1] : thing(v0) = v1
% 8.78/2.81 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 8.78/2.81 | (59) ? [v0] : ? [v1] : function_denotational(v0) = v1
% 8.78/2.81 | (60) ? [v0] : ? [v1] : creationordestructionevent(v0) = v1
% 8.78/2.81 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v2, v1) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v2, v0) = v4))
% 8.78/2.81 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (correctivelensprescription(v2) = v1) | ~ (correctivelensprescription(v2) = v0))
% 8.78/2.81 | (63) ! [v0] : ( ~ (tptpcol_16_7738(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptp_8_968(v0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = v1))
% 8.78/2.81 | (64) ! [v0] : ! [v1] : (v1 = 0 | ~ (correctivelensprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_correctivelensprescription) = v2))
% 8.78/2.81 | (65) ! [v0] : ( ~ (isa(v0, c_issuingaprescription) = 0) | issuingaprescription(v0) = 0)
% 8.78/2.81 | (66) ! [v0] : ( ~ (issuingaprescription(v0) = 0) | isa(v0, c_issuingaprescription) = 0)
% 8.78/2.81 | (67) ? [v0] : ? [v1] : ? [v2] : natfunction(v1, v0) = v2
% 8.78/2.81 | (68) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : f_relationexistsallfn(v3, v2, v1, v0) = v4
% 8.78/2.81 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v0, v2) = v3) | ~ (isa(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v1, v2) = v4))
% 8.78/2.81 | (70) ! [v0] : ! [v1] : (v1 = 0 | ~ (genlpreds(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & predicate(v0) = v2))
% 8.78/2.81 | (71) ? [v0] : ? [v1] : ? [v2] : products(v1, v0) = v2
% 8.78/2.81 | (72) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relationexistsall(v2, v1, v0) = v3
% 8.78/2.81 | (73) isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = 0
% 8.78/2.81 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v2, v3, v1) = v4) | ? [v5] : ((v5 = 0 & isa(v4, v3) = 0) | ( ~ (v5 = 0) & relationexistsall(v2, v3, v1) = v5) | ( ~ (v5 = 0) & isa(v0, v1) = v5)))
% 8.78/2.81 | (75) ? [v0] : ? [v1] : subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v1
% 8.78/2.81 | (76) ! [v0] : ! [v1] : ( ~ (f_relationexistsallfn(v0, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v1) | ? [v2] : ((v2 = 0 & tptp_8_968(v1, v0) = 0) | ( ~ (v2 = 0) & isa(v0, all_0_0_0) = v2)))
% 8.78/2.81 | (77) ? [v0] : ? [v1] : artifact(v0) = v1
% 8.78/2.81 | (78) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjointwith(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v0, v1) = v3))
% 8.78/2.81 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (issuingaprescription(v2) = v1) | ~ (issuingaprescription(v2) = v0))
% 8.78/2.81 | (80) ! [v0] : ! [v1] : ( ~ (products(v0, v1) = 0) | artifact(v1) = 0)
% 8.78/2.81 | (81) ! [v0] : ( ~ (isa(v0, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v0) = 0)
% 8.78/2.81 | (82) ! [v0] : ( ~ (transitivebinarypredicate(v0) = 0) | isa(v0, c_transitivebinarypredicate) = 0)
% 8.78/2.81 | (83) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_issuingaprescription) = v1) | ? [v2] : ( ~ (v2 = 0) & issuingaprescription(v0) = v2))
% 8.78/2.81 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natfunction(v4, c_relationexistsallfn) = 0)
% 8.78/2.81 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0))
% 8.78/2.81 | (86) transitivebinarypredicate(c_genlmt) = 0
% 8.78/2.81 | (87) ! [v0] : ! [v1] : (v1 = 0 | ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, all_0_0_0) = v2))
% 8.78/2.81 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_7_7172(v2) = v1) | ~ (tptpcol_7_7172(v2) = v0))
% 8.78/2.81 | (89) mtvisible(c_knowledgefragmentd3mt) = 0
% 8.78/2.81 | (90) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = 0
% 8.78/2.81 | (91) ! [v0] : ( ~ (isa(v0, all_0_0_0) = 0) | ? [v1] : (tptp_8_968(v1, v0) = 0 & f_relationexistsallfn(v0, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v1))
% 8.78/2.81 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 8.78/2.81 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 8.78/2.81 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (thing(v2) = v1) | ~ (thing(v2) = v0))
% 8.78/2.81 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (creationordestructionevent(v2) = v1) | ~ (creationordestructionevent(v2) = v0))
% 8.78/2.81 | (96) ! [v0] : ( ~ (isa(v0, c_tptpcol_16_7738) = 0) | tptpcol_16_7738(v0) = 0)
% 8.78/2.81 | (97) ! [v0] : ( ~ (tptpcol_16_7738(v0) = 0) | isa(v0, c_tptpcol_16_7738) = 0)
% 8.78/2.81 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v0, v2) = 0)
% 8.78/2.81 | (99) ? [v0] : ? [v1] : correctivelensprescription(v0) = v1
% 8.78/2.81 | (100) ! [v0] : ! [v1] : ( ~ (products(v0, v1) = 0) | creationordestructionevent(v0) = 0)
% 8.78/2.81 | (101) ? [v0] : ? [v1] : ? [v2] : ? [v3] : f_subcollectionofwithrelationtotypefn(v2, v1, v0) = v3
% 8.78/2.81 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0))
% 8.78/2.81 | (103) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v1) = 0)
% 8.78/2.81 | (104) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | disjointwith(v1, v0) = 0)
% 8.78/2.81 | (105) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, all_0_0_0) = v1) | ? [v2] : ( ~ (v2 = 0) & subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = v2))
% 8.78/2.81 | (106) subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0
% 8.78/2.81 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4))
% 8.78/2.81 | (108) ? [v0] : ? [v1] : ? [v2] : genlmt(v1, v0) = v2
% 8.78/2.81 | (109) ! [v0] : ! [v1] : ( ~ (tptp_8_968(v0, v1) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v1) = 0)
% 8.78/2.81 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (isa(v0, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v1, v2) = v3))
% 8.78/2.81 | (111) ? [v0] : ? [v1] : ? [v2] : resultisaarg(v1, v0) = v2
% 8.78/2.81 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v1) = 0) | genlpreds(v0, v2) = 0)
% 8.78/2.81 | (113) ? [v0] : ? [v1] : tptpcol_7_7172(v0) = v1
% 8.78/2.81 | (114) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v0) = 0)
% 8.78/2.81 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v2, v1) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v0) = v4))
% 8.78/2.81 | (116) ! [v0] : ! [v1] : (v1 = 0 | ~ (transitivebinarypredicate(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_transitivebinarypredicate) = v2))
% 8.78/2.81 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v0, v2) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v1) = v4))
% 8.78/2.81 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_2, v1) = 0)
% 8.78/2.81 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v0) = 0) | ~ (disjointwith(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4))
% 8.78/2.81 | (120) ? [v0] : ? [v1] : microtheory(v0) = v1
% 8.78/2.81 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0))
% 8.78/2.81 | (122) ! [v0] : ! [v1] : (v1 = 0 | ~ (genlmt(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & microtheory(v0) = v2))
% 8.78/2.81 | (123) ? [v0] : ? [v1] : predicate(v0) = v1
% 8.78/2.81 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v1) = v3))
% 8.78/2.81 | (125) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v1) = 0)
% 8.78/2.81 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v2, v1) = 0)
% 8.78/2.81 | (127) ! [v0] : ( ~ (microtheory(v0) = 0) | genlmt(v0, v0) = 0)
% 8.78/2.81 | (128) ? [v0] : ? [v1] : transitivebinarypredicate(v0) = v1
% 8.78/2.81 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0))
% 8.78/2.81 | (130) ? [v0] : ? [v1] : positiveinteger(v0) = v1
% 8.78/2.81 | (131) ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | collection(v1) = 0)
% 8.78/2.81 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationexistsallfn(v0, v1, v2, v3) = v4) | natargument(v4, n_4, v3) = 0)
% 8.78/2.81 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationtotypefn(v0, v1, v2) = v3) | natfunction(v3, c_subcollectionofwithrelationtotypefn) = 0)
% 8.78/2.81 | (134) ? [v0] : ? [v1] : ? [v2] : ? [v3] : natargument(v2, v1, v0) = v3
% 8.78/2.81 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relationexistsall(v4, v3, v2) = v1) | ~ (relationexistsall(v4, v3, v2) = v0))
% 8.78/2.81 | (136) ? [v0] : ? [v1] : collection(v0) = v1
% 8.78/2.81 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0))
% 8.78/2.81 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4))
% 8.78/2.81 | (139) ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v1) = 0)
% 8.78/2.81 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationexistsall(v0, v1, v2) = 0) | collection(v2) = 0)
% 8.78/2.81 | (141) ? [v0] : ? [v1] : issuingaprescription(v0) = v1
% 8.78/2.81 | (142) ! [v0] : ( ~ (isa(v0, all_0_0_0) = 0) | subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = 0)
% 8.78/2.81 | (143) ! [v0] : ( ~ (subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(v0) = 0) | isa(v0, all_0_0_0) = 0)
% 8.78/2.81 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0))
% 8.78/2.81 | (145) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_correctivelensprescription) = v1) | ? [v2] : ( ~ (v2 = 0) & correctivelensprescription(v0) = v2))
% 8.78/2.81 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | isa(v0, v2) = 0)
% 8.78/2.81 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4))
% 8.78/2.81 | (148) ! [v0] : ! [v1] : (v1 = 0 | ~ (tptpcol_16_7738(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_tptpcol_16_7738) = v2))
% 8.78/2.81 | (149) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v0, v2) = 0)
% 8.78/2.81 | (150) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0))
% 8.78/2.81 | (151) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v0) = 0)
% 8.78/2.82 | (152) f_subcollectionofwithrelationtotypefn(c_issuingaprescription, c_products, c_correctivelensprescription) = all_0_0_0
% 8.78/2.82 | (153) resultisaarg(c_relationexistsallfn, n_3) = 0
% 8.78/2.82 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v1, v2) = 0) | ~ (isa(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v0, v1) = v4))
% 8.78/2.82 | (155) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_16_7738(v2) = v1) | ~ (tptpcol_16_7738(v2) = v0))
% 9.32/2.82 | (156) ? [v0] : ? [v1] : ? [v2] : isa(v1, v0) = v2
% 9.32/2.82 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (products(v3, v2) = v1) | ~ (products(v3, v2) = v0))
% 9.32/2.82 | (158) ? [v0] : ? [v1] : mtvisible(v0) = v1
% 9.32/2.82 | (159) mtvisible(c_universalvocabularymt) = 0
% 9.32/2.82 | (160) ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v0) = 0)
% 9.32/2.82 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlmt(v0, v1) = v4))
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (91) with c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 and discharging atoms isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = 0, yields:
% 9.32/2.82 | (162) ? [v0] : (tptp_8_968(v0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0 & f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v0)
% 9.32/2.82 |
% 9.32/2.82 | Instantiating (162) with all_69_0_80 yields:
% 9.32/2.82 | (163) tptp_8_968(all_69_0_80, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0 & f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_69_0_80
% 9.32/2.82 |
% 9.32/2.82 | Applying alpha-rule on (163) yields:
% 9.32/2.82 | (164) tptp_8_968(all_69_0_80, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0
% 9.32/2.82 | (165) f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_69_0_80
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (37) with all_69_0_80 and discharging atoms tptp_8_968(all_69_0_80, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) = 0, yields:
% 9.32/2.82 | (166) ? [v0] : ( ~ (v0 = 0) & tptpcol_16_7738(all_69_0_80) = v0)
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (74) with all_69_0_80, c_tptpcol_16_7738, c_tptp_8_968, all_0_0_0, c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 and discharging atoms f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_69_0_80, yields:
% 9.32/2.82 | (167) ? [v0] : ((v0 = 0 & isa(all_69_0_80, c_tptpcol_16_7738) = 0) | ( ~ (v0 = 0) & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = v0) | ( ~ (v0 = 0) & isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = v0))
% 9.32/2.82 |
% 9.32/2.82 | Instantiating (166) with all_79_0_82 yields:
% 9.32/2.82 | (168) ~ (all_79_0_82 = 0) & tptpcol_16_7738(all_69_0_80) = all_79_0_82
% 9.32/2.82 |
% 9.32/2.82 | Applying alpha-rule on (168) yields:
% 9.32/2.82 | (169) ~ (all_79_0_82 = 0)
% 9.32/2.82 | (170) tptpcol_16_7738(all_69_0_80) = all_79_0_82
% 9.32/2.82 |
% 9.32/2.82 | Instantiating (167) with all_83_0_84 yields:
% 9.32/2.82 | (171) (all_83_0_84 = 0 & isa(all_69_0_80, c_tptpcol_16_7738) = 0) | ( ~ (all_83_0_84 = 0) & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_83_0_84) | ( ~ (all_83_0_84 = 0) & isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = all_83_0_84)
% 9.32/2.82 |
% 9.32/2.82 +-Applying beta-rule and splitting (171), into two cases.
% 9.32/2.82 |-Branch one:
% 9.32/2.82 | (172) (all_83_0_84 = 0 & isa(all_69_0_80, c_tptpcol_16_7738) = 0) | ( ~ (all_83_0_84 = 0) & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_83_0_84)
% 9.32/2.82 |
% 9.32/2.82 +-Applying beta-rule and splitting (172), into two cases.
% 9.32/2.82 |-Branch one:
% 9.32/2.82 | (173) all_83_0_84 = 0 & isa(all_69_0_80, c_tptpcol_16_7738) = 0
% 9.32/2.82 |
% 9.32/2.82 | Applying alpha-rule on (173) yields:
% 9.32/2.82 | (174) all_83_0_84 = 0
% 9.32/2.82 | (175) isa(all_69_0_80, c_tptpcol_16_7738) = 0
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (148) with all_79_0_82, all_69_0_80 and discharging atoms tptpcol_16_7738(all_69_0_80) = all_79_0_82, yields:
% 9.32/2.82 | (176) all_79_0_82 = 0 | ? [v0] : ( ~ (v0 = 0) & isa(all_69_0_80, c_tptpcol_16_7738) = v0)
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (96) with all_69_0_80 and discharging atoms isa(all_69_0_80, c_tptpcol_16_7738) = 0, yields:
% 9.32/2.82 | (177) tptpcol_16_7738(all_69_0_80) = 0
% 9.32/2.82 |
% 9.32/2.82 +-Applying beta-rule and splitting (176), into two cases.
% 9.32/2.82 |-Branch one:
% 9.32/2.82 | (178) all_79_0_82 = 0
% 9.32/2.82 |
% 9.32/2.82 | Equations (178) can reduce 169 to:
% 9.32/2.82 | (179) $false
% 9.32/2.82 |
% 9.32/2.82 |-The branch is then unsatisfiable
% 9.32/2.82 |-Branch two:
% 9.32/2.82 | (169) ~ (all_79_0_82 = 0)
% 9.32/2.82 | (181) ? [v0] : ( ~ (v0 = 0) & isa(all_69_0_80, c_tptpcol_16_7738) = v0)
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (155) with all_69_0_80, 0, all_79_0_82 and discharging atoms tptpcol_16_7738(all_69_0_80) = all_79_0_82, tptpcol_16_7738(all_69_0_80) = 0, yields:
% 9.32/2.82 | (178) all_79_0_82 = 0
% 9.32/2.82 |
% 9.32/2.82 | Equations (178) can reduce 169 to:
% 9.32/2.82 | (179) $false
% 9.32/2.82 |
% 9.32/2.82 |-The branch is then unsatisfiable
% 9.32/2.82 |-Branch two:
% 9.32/2.82 | (184) ~ (all_83_0_84 = 0) & relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_83_0_84
% 9.32/2.82 |
% 9.32/2.82 | Applying alpha-rule on (184) yields:
% 9.32/2.82 | (185) ~ (all_83_0_84 = 0)
% 9.32/2.82 | (186) relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_83_0_84
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (135) with c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0, all_83_0_84, 0 and discharging atoms relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = all_83_0_84, relationexistsall(c_tptp_8_968, c_tptpcol_16_7738, all_0_0_0) = 0, yields:
% 9.32/2.82 | (174) all_83_0_84 = 0
% 9.32/2.82 |
% 9.32/2.82 | Equations (174) can reduce 185 to:
% 9.32/2.82 | (179) $false
% 9.32/2.82 |
% 9.32/2.82 |-The branch is then unsatisfiable
% 9.32/2.82 |-Branch two:
% 9.32/2.82 | (189) ~ (all_83_0_84 = 0) & isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = all_83_0_84
% 9.32/2.82 |
% 9.32/2.82 | Applying alpha-rule on (189) yields:
% 9.32/2.82 | (185) ~ (all_83_0_84 = 0)
% 9.32/2.82 | (191) isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = all_83_0_84
% 9.32/2.82 |
% 9.32/2.82 | Instantiating formula (13) with c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0, all_83_0_84, 0 and discharging atoms isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = all_83_0_84, isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804, all_0_0_0) = 0, yields:
% 9.32/2.82 | (174) all_83_0_84 = 0
% 9.32/2.82 |
% 9.32/2.82 | Equations (174) can reduce 185 to:
% 9.32/2.82 | (179) $false
% 9.32/2.82 |
% 9.32/2.82 |-The branch is then unsatisfiable
% 9.32/2.82 % SZS output end Proof for theBenchmark
% 9.32/2.82
% 9.32/2.82 2207ms
%------------------------------------------------------------------------------