TSTP Solution File: CSR044+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% 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 : 600s
% DateTime : Fri Jul 15 02:50:33 EDT 2022
% Result : Theorem 7.20s 2.32s
% Output : Proof 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 07:09:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 ____ _
% 0.19/0.56 ___ / __ \_____(_)___ ________ __________
% 0.19/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.56
% 0.19/0.56 A Theorem Prover for First-Order Logic
% 0.19/0.56 (ePrincess v.1.0)
% 0.19/0.56
% 0.19/0.56 (c) Philipp Rümmer, 2009-2015
% 0.19/0.56 (c) Peter Backeman, 2014-2015
% 0.19/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.56 Bug reports to peter@backeman.se
% 0.19/0.56
% 0.19/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.56
% 0.19/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/0.99 Prover 0: Preprocessing ...
% 2.37/1.21 Prover 0: Constructing countermodel ...
% 4.41/1.71 Prover 0: gave up
% 4.41/1.71 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.41/1.75 Prover 1: Preprocessing ...
% 5.01/1.89 Prover 1: Constructing countermodel ...
% 5.81/2.02 Prover 1: gave up
% 5.81/2.02 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.81/2.06 Prover 2: Preprocessing ...
% 6.39/2.17 Prover 2: Warning: ignoring some quantifiers
% 6.39/2.18 Prover 2: Constructing countermodel ...
% 7.20/2.32 Prover 2: proved (294ms)
% 7.20/2.32
% 7.20/2.32 No countermodel exists, formula is valid
% 7.20/2.32 % SZS status Theorem for theBenchmark
% 7.20/2.32
% 7.20/2.32 Generating proof ... Warning: ignoring some quantifiers
% 9.00/2.74 found it (size 54)
% 9.00/2.74
% 9.00/2.74 % SZS output start Proof for theBenchmark
% 9.00/2.74 Assumed formulas after preprocessing and simplification:
% 9.00/2.74 | (0) ? [v0] : ? [v1] : (resultisaarg(c_relationallexistsfn, n_4) = 0 & genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0 & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & genlmt(c_cyclistsmt, c_calendarsmt) = 0 & genlmt(c_basekb, c_universalvocabularymt) = 0 & genlmt(c_calendarsvocabularymt, c_basekb) = 0 & genlmt(c_calendarsmt, c_calendarsvocabularymt) = 0 & mtvisible(c_tptp_member3633_mt) = 0 & mtvisible(c_cyclistsmt) = v0 & mtvisible(c_universalvocabularymt) = 0 & mtvisible(c_basekb) = 0 & transitivebinarypredicate(c_genlmt) = 0 & executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v3 = v2 | ~ (f_relationallexistsfn(v7, v6, v5, v4) = v3) | ~ (f_relationallexistsfn(v7, v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (natargument(v6, v5, v4) = v3) | ~ (natargument(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (relationallexists(v6, v5, v4) = v3) | ~ (relationallexists(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v4, v3, v5) = v6) | ? [v7] : ((v7 = 0 & isa(v6, v5) = 0) | ( ~ (v7 = 0) & relationallexists(v4, v3, v5) = v7) | ( ~ (v7 = 0) & isa(v2, v3) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | natargument(v6, n_3, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | natargument(v6, n_2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | natargument(v6, n_1, v2) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | natargument(v6, n_4, v5) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | natfunction(v6, c_relationallexistsfn) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (f_relationallexistsfn(v2, v3, v4, v5) = v6) | thing(v6) = 0) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlmt(v3, v4) = 0) | ~ (genlmt(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & genlmt(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlmt(v2, v4) = v5) | ~ (genlmt(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genlmt(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genls(v4, v3) = 0) | ~ (disjointwith(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & disjointwith(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genls(v4, v2) = 0) | ~ (disjointwith(v4, v3) = v5) | ? [v6] : ( ~ (v6 = 0) & disjointwith(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genls(v3, v4) = 0) | ~ (isa(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & isa(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v4, v2) = 0) | ~ (genlinverse(v4, v3) = v5) | ? [v6] : ( ~ (v6 = 0) & genlinverse(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v3, v4) = 0) | ~ (genlpreds(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & genlpreds(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v3, v4) = 0) | ~ (genlinverse(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & genlinverse(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v2, v4) = v5) | ~ (genlpreds(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genlpreds(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v2, v4) = v5) | ~ (genlinverse(v3, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & genlinverse(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlpreds(v2, v4) = v5) | ~ (genlinverse(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genlinverse(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlinverse(v4, v3) = v5) | ~ (genlinverse(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genlpreds(v4, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (genlinverse(v2, v4) = v5) | ~ (genlinverse(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genlpreds(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (disjointwith(v4, v3) = v5) | ~ (disjointwith(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genls(v4, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (disjointwith(v2, v4) = v5) | ~ (disjointwith(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genls(v4, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isa(v2, v4) = v5) | ~ (isa(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & genls(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (resultisaarg(v5, v4) = v3) | ~ (resultisaarg(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (natfunction(v5, v4) = v3) | ~ (natfunction(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (genlmt(v5, v4) = v3) | ~ (genlmt(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (genls(v5, v4) = v3) | ~ (genls(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (genlpreds(v5, v4) = v3) | ~ (genlpreds(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (genlinverse(v5, v4) = v3) | ~ (genlinverse(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (disjointwith(v5, v4) = v3) | ~ (disjointwith(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (tptp_9_720(v5, v4) = v3) | ~ (tptp_9_720(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (isa(v5, v4) = v3) | ~ (isa(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (disjointwith(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & disjointwith(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (function_denotational(v4) = v3) | ~ (function_denotational(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (positiveinteger(v4) = v3) | ~ (positiveinteger(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (microtheory(v4) = v3) | ~ (microtheory(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (mtvisible(v4) = v3) | ~ (mtvisible(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (thing(v4) = v3) | ~ (thing(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (transitivebinarypredicate(v4) = v3) | ~ (transitivebinarypredicate(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (tptpcol_5_28674(v4) = v3) | ~ (tptpcol_5_28674(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (tptpcol_16_29490(v4) = v3) | ~ (tptpcol_16_29490(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (collection(v4) = v3) | ~ (collection(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (binarypredicate(v4) = v3) | ~ (binarypredicate(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (predicate(v4) = v3) | ~ (predicate(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (executionbyfiringsquad(v4) = v3) | ~ (executionbyfiringsquad(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genlmt(v3, v4) = 0) | ~ (genlmt(v2, v3) = 0) | genlmt(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genls(v4, v3) = 0) | ~ (disjointwith(v2, v3) = 0) | disjointwith(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genls(v4, v2) = 0) | ~ (disjointwith(v2, v3) = 0) | disjointwith(v4, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genls(v3, v4) = 0) | ~ (isa(v2, v3) = 0) | isa(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genlpreds(v4, v2) = 0) | ~ (genlinverse(v2, v3) = 0) | genlinverse(v4, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genlpreds(v3, v4) = 0) | ~ (genlpreds(v2, v3) = 0) | genlpreds(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genlpreds(v3, v4) = 0) | ~ (genlinverse(v2, v3) = 0) | genlinverse(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (genlinverse(v3, v4) = 0) | ~ (genlinverse(v2, v3) = 0) | genlpreds(v2, v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (disjointwith(v3, v4) = 0) | ~ (isa(v2, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & isa(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (disjointwith(v3, v4) = 0) | ~ (isa(v2, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & isa(v2, v4) = v5)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (relationallexists(v2, v3, v4) = 0) | collection(v4) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (relationallexists(v2, v3, v4) = 0) | collection(v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (relationallexists(v2, v3, v4) = 0) | binarypredicate(v2) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (isa(v2, v4) = 0) | ~ (isa(v2, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & disjointwith(v3, v4) = v5)) & ! [v2] : ! [v3] : ( ~ (v0 = 0) | ~ (f_relationallexistsfn(v2, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v3) | ? [v4] : ((v4 = 0 & tptp_9_720(v2, v3) = 0) | ( ~ (v4 = 0) & executionbyfiringsquad(v2) = v4))) & ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & microtheory(v2) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (transitivebinarypredicate(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v2, c_transitivebinarypredicate) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (tptpcol_16_29490(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v2, c_tptpcol_16_29490) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & predicate(v2) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (executionbyfiringsquad(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v2, c_executionbyfiringsquad) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v2, c_transitivebinarypredicate) = v3) | ? [v4] : ( ~ (v4 = 0) & transitivebinarypredicate(v2) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v2, c_tptpcol_16_29490) = v3) | ? [v4] : ( ~ (v4 = 0) & tptpcol_16_29490(v2) = v4)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v2, c_executionbyfiringsquad) = v3) | ? [v4] : ( ~ (v4 = 0) & executionbyfiringsquad(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (resultisaarg(v2, v3) = 0) | function_denotational(v2) = 0) & ! [v2] : ! [v3] : ( ~ (resultisaarg(v2, v3) = 0) | positiveinteger(v3) = 0) & ! [v2] : ! [v3] : ( ~ (genlmt(v2, v3) = 0) | microtheory(v3) = 0) & ! [v2] : ! [v3] : ( ~ (genlmt(v2, v3) = 0) | microtheory(v2) = 0) & ! [v2] : ! [v3] : ( ~ (genlmt(v2, v3) = 0) | ? [v4] : ((v4 = 0 & mtvisible(v3) = 0) | ( ~ (v4 = 0) & mtvisible(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (genlpreds(v2, v3) = 0) | predicate(v3) = 0) & ! [v2] : ! [v3] : ( ~ (genlpreds(v2, v3) = 0) | predicate(v2) = 0) & ! [v2] : ! [v3] : ( ~ (genlinverse(v2, v3) = 0) | binarypredicate(v3) = 0) & ! [v2] : ! [v3] : ( ~ (genlinverse(v2, v3) = 0) | binarypredicate(v2) = 0) & ! [v2] : ! [v3] : ( ~ (disjointwith(v2, v3) = 0) | collection(v3) = 0) & ! [v2] : ! [v3] : ( ~ (disjointwith(v2, v3) = 0) | collection(v2) = 0) & ! [v2] : ! [v3] : ( ~ (disjointwith(v2, v3) = 0) | disjointwith(v3, v2) = 0) & ! [v2] : ! [v3] : ( ~ (tptp_9_720(v2, v3) = 0) | tptpcol_5_28674(v3) = 0) & ! [v2] : ! [v3] : ( ~ (tptp_9_720(v2, v3) = 0) | executionbyfiringsquad(v2) = 0) & ! [v2] : ! [v3] : ( ~ (isa(v2, v3) = 0) | thing(v2) = 0) & ! [v2] : ! [v3] : ( ~ (isa(v2, v3) = 0) | collection(v3) = 0) & ! [v2] : ( ~ (v0 = 0) | ~ (executionbyfiringsquad(v2) = 0) | ? [v3] : (tptp_9_720(v2, v3) = 0 & f_relationallexistsfn(v2, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v3)) & ! [v2] : ( ~ (microtheory(v2) = 0) | genlmt(v2, v2) = 0) & ! [v2] : ( ~ (transitivebinarypredicate(v2) = 0) | isa(v2, c_transitivebinarypredicate) = 0) & ! [v2] : ( ~ (tptpcol_16_29490(v2) = 0) | isa(v2, c_tptpcol_16_29490) = 0) & ! [v2] : ( ~ (tptpcol_16_29490(v2) = 0) | ? [v3] : ( ~ (v3 = 0) & tptp_9_720(c_tptpexecutionbyfiringsquad_90, v2) = v3)) & ! [v2] : ( ~ (predicate(v2) = 0) | genlpreds(v2, v2) = 0) & ! [v2] : ( ~ (executionbyfiringsquad(v2) = 0) | isa(v2, c_executionbyfiringsquad) = 0) & ! [v2] : ( ~ (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & tptpcol_16_29490(v2) = v3)) & ! [v2] : ( ~ (isa(v2, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v2) = 0) & ! [v2] : ( ~ (isa(v2, c_tptpcol_16_29490) = 0) | tptpcol_16_29490(v2) = 0) & ! [v2] : ( ~ (isa(v2, c_executionbyfiringsquad) = 0) | executionbyfiringsquad(v2) = 0) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : f_relationallexistsfn(v5, v4, v3, v2) = v6 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : natargument(v4, v3, v2) = v5 & ? [v2] : ? [v3] : ? [v4] : ? [v5] : relationallexists(v4, v3, v2) = v5 & ? [v2] : ? [v3] : ? [v4] : resultisaarg(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : natfunction(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : genlmt(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : genls(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : genlpreds(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : genlinverse(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : disjointwith(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : tptp_9_720(v3, v2) = v4 & ? [v2] : ? [v3] : ? [v4] : isa(v3, v2) = v4 & ? [v2] : ? [v3] : function_denotational(v2) = v3 & ? [v2] : ? [v3] : positiveinteger(v2) = v3 & ? [v2] : ? [v3] : microtheory(v2) = v3 & ? [v2] : ? [v3] : mtvisible(v2) = v3 & ? [v2] : ? [v3] : thing(v2) = v3 & ? [v2] : ? [v3] : transitivebinarypredicate(v2) = v3 & ? [v2] : ? [v3] : tptpcol_5_28674(v2) = v3 & ? [v2] : ? [v3] : tptpcol_16_29490(v2) = v3 & ? [v2] : ? [v3] : collection(v2) = v3 & ? [v2] : ? [v3] : binarypredicate(v2) = v3 & ? [v2] : ? [v3] : predicate(v2) = v3 & ? [v2] : ? [v3] : executionbyfiringsquad(v2) = v3 & ( ~ (v0 = 0) | (v1 = 0 & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0)))
% 9.00/2.80 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 9.00/2.80 | (1) resultisaarg(c_relationallexistsfn, n_4) = 0 & genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0 & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0 & genlmt(c_cyclistsmt, c_calendarsmt) = 0 & genlmt(c_basekb, c_universalvocabularymt) = 0 & genlmt(c_calendarsvocabularymt, c_basekb) = 0 & genlmt(c_calendarsmt, c_calendarsvocabularymt) = 0 & mtvisible(c_tptp_member3633_mt) = 0 & mtvisible(c_cyclistsmt) = all_0_1_1 & mtvisible(c_universalvocabularymt) = 0 & mtvisible(c_basekb) = 0 & transitivebinarypredicate(c_genlmt) = 0 & executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v1) | ~ (f_relationallexistsfn(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 | ~ (relationallexists(v4, v3, v2) = v1) | ~ (relationallexists(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v2, v1, v3) = v4) | ? [v5] : ((v5 = 0 & isa(v4, v3) = 0) | ( ~ (v5 = 0) & relationallexists(v2, v1, v3) = v5) | ( ~ (v5 = 0) & isa(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_4, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natfunction(v4, c_relationallexistsfn) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | thing(v4) = 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 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(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_9_720(v3, v2) = v1) | ~ (tptp_9_720(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [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_5_28674(v2) = v1) | ~ (tptpcol_5_28674(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_16_29490(v2) = v1) | ~ (tptpcol_16_29490(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] : (v1 = v0 | ~ (executionbyfiringsquad(v2) = v1) | ~ (executionbyfiringsquad(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] : ( ~ (relationallexists(v0, v1, v2) = 0) | collection(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relationallexists(v0, v1, v2) = 0) | collection(v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relationallexists(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] : ( ~ (all_0_1_1 = 0) | ~ (f_relationallexistsfn(v0, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v1) | ? [v2] : ((v2 = 0 & tptp_9_720(v0, v1) = 0) | ( ~ (v2 = 0) & executionbyfiringsquad(v0) = v2))) & ! [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_29490(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_tptpcol_16_29490) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (genlpreds(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & predicate(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (executionbyfiringsquad(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_executionbyfiringsquad) = 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_29490) = v1) | ? [v2] : ( ~ (v2 = 0) & tptpcol_16_29490(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_executionbyfiringsquad) = v1) | ? [v2] : ( ~ (v2 = 0) & executionbyfiringsquad(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] : ( ~ (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_9_720(v0, v1) = 0) | tptpcol_5_28674(v1) = 0) & ! [v0] : ! [v1] : ( ~ (tptp_9_720(v0, v1) = 0) | executionbyfiringsquad(v0) = 0) & ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | thing(v0) = 0) & ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | collection(v1) = 0) & ! [v0] : ( ~ (all_0_1_1 = 0) | ~ (executionbyfiringsquad(v0) = 0) | ? [v1] : (tptp_9_720(v0, v1) = 0 & f_relationallexistsfn(v0, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v1)) & ! [v0] : ( ~ (microtheory(v0) = 0) | genlmt(v0, v0) = 0) & ! [v0] : ( ~ (transitivebinarypredicate(v0) = 0) | isa(v0, c_transitivebinarypredicate) = 0) & ! [v0] : ( ~ (tptpcol_16_29490(v0) = 0) | isa(v0, c_tptpcol_16_29490) = 0) & ! [v0] : ( ~ (tptpcol_16_29490(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = v1)) & ! [v0] : ( ~ (predicate(v0) = 0) | genlpreds(v0, v0) = 0) & ! [v0] : ( ~ (executionbyfiringsquad(v0) = 0) | isa(v0, c_executionbyfiringsquad) = 0) & ! [v0] : ( ~ (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptpcol_16_29490(v0) = v1)) & ! [v0] : ( ~ (isa(v0, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v0) = 0) & ! [v0] : ( ~ (isa(v0, c_tptpcol_16_29490) = 0) | tptpcol_16_29490(v0) = 0) & ! [v0] : ( ~ (isa(v0, c_executionbyfiringsquad) = 0) | executionbyfiringsquad(v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : f_relationallexistsfn(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : natargument(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : relationallexists(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : resultisaarg(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : natfunction(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : genlmt(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_9_720(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_5_28674(v0) = v1 & ? [v0] : ? [v1] : tptpcol_16_29490(v0) = v1 & ? [v0] : ? [v1] : collection(v0) = v1 & ? [v0] : ? [v1] : binarypredicate(v0) = v1 & ? [v0] : ? [v1] : predicate(v0) = v1 & ? [v0] : ? [v1] : executionbyfiringsquad(v0) = v1 & ( ~ (all_0_1_1 = 0) | (all_0_0_0 = 0 & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0))
% 9.43/2.82 |
% 9.43/2.82 | Applying alpha-rule on (1) yields:
% 9.43/2.82 | (2) transitivebinarypredicate(c_genlmt) = 0
% 9.43/2.82 | (3) ! [v0] : ! [v1] : (v1 = 0 | ~ (genlpreds(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & predicate(v0) = v2))
% 9.43/2.82 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (executionbyfiringsquad(v2) = v1) | ~ (executionbyfiringsquad(v2) = v0))
% 9.43/2.82 | (5) mtvisible(c_tptp_member3633_mt) = 0
% 9.43/2.82 | (6) ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | positiveinteger(v1) = 0)
% 9.43/2.82 | (7) ? [v0] : ? [v1] : ? [v2] : isa(v1, v0) = v2
% 9.43/2.82 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationallexists(v0, v1, v2) = 0) | collection(v2) = 0)
% 9.43/2.82 | (9) ! [v0] : ( ~ (microtheory(v0) = 0) | genlmt(v0, v0) = 0)
% 9.43/2.82 | (10) ? [v0] : ? [v1] : thing(v0) = v1
% 9.43/2.82 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | isa(v0, v2) = 0)
% 9.43/2.82 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v2, v1) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v0) = v4))
% 9.43/2.82 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlmt(v0, v1) = v4))
% 9.43/2.82 | (14) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relationallexists(v2, v1, v0) = v3
% 9.43/2.82 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0))
% 9.43/2.82 | (16) ? [v0] : ? [v1] : ? [v2] : natfunction(v1, v0) = v2
% 9.43/2.82 | (17) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v0) = 0)
% 9.43/2.82 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v2, v1) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v2, v0) = v4))
% 9.43/2.82 | (19) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v1) = 0)
% 9.43/2.82 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (isa(v0, v2) = v3) | ~ (isa(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v1, v2) = v4))
% 9.43/2.82 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (isa(v0, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v1, v2) = v3))
% 9.43/2.82 | (22) ? [v0] : ? [v1] : collection(v0) = v1
% 9.43/2.82 | (23) ~ (all_0_1_1 = 0) | (all_0_0_0 = 0 & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0)
% 9.43/2.82 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlmt(v1, v2) = 0) | ~ (genlmt(v0, v1) = 0) | genlmt(v0, v2) = 0)
% 9.43/2.82 | (25) ! [v0] : ( ~ (isa(v0, c_tptpcol_16_29490) = 0) | tptpcol_16_29490(v0) = 0)
% 9.43/2.82 | (26) ! [v0] : ( ~ (tptpcol_16_29490(v0) = 0) | isa(v0, c_tptpcol_16_29490) = 0)
% 9.43/2.82 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlinverse(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlpreds(v0, v2) = 0)
% 9.43/2.82 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0))
% 9.43/2.83 | (29) ? [v0] : ? [v1] : ? [v2] : resultisaarg(v1, v0) = v2
% 9.43/2.83 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlinverse(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4))
% 9.43/2.83 | (31) executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0
% 9.43/2.83 | (32) ! [v0] : ( ~ (isa(v0, c_executionbyfiringsquad) = 0) | executionbyfiringsquad(v0) = 0)
% 9.43/2.83 | (33) ! [v0] : ( ~ (executionbyfiringsquad(v0) = 0) | isa(v0, c_executionbyfiringsquad) = 0)
% 9.43/2.83 | (34) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : f_relationallexistsfn(v3, v2, v1, v0) = v4
% 9.43/2.83 | (35) ? [v0] : ? [v1] : function_denotational(v0) = v1
% 9.43/2.83 | (36) ! [v0] : ! [v1] : ( ~ (tptp_9_720(v0, v1) = 0) | executionbyfiringsquad(v0) = 0)
% 9.43/2.83 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 9.43/2.83 | (38) ! [v0] : ! [v1] : (v1 = 0 | ~ (transitivebinarypredicate(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_transitivebinarypredicate) = v2))
% 9.43/2.83 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_9_720(v3, v2) = v1) | ~ (tptp_9_720(v3, v2) = v0))
% 9.43/2.83 | (40) ? [v0] : ? [v1] : tptpcol_5_28674(v0) = v1
% 9.43/2.83 | (41) ! [v0] : ! [v1] : ( ~ (tptp_9_720(v0, v1) = 0) | tptpcol_5_28674(v1) = 0)
% 9.43/2.83 | (42) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | microtheory(v1) = 0)
% 9.43/2.83 | (43) mtvisible(c_universalvocabularymt) = 0
% 9.43/2.83 | (44) ! [v0] : ! [v1] : (v1 = 0 | ~ (tptpcol_16_29490(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_tptpcol_16_29490) = v2))
% 9.43/2.83 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (thing(v2) = v1) | ~ (thing(v2) = v0))
% 9.43/2.83 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = v0))
% 9.43/2.83 | (47) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_executionbyfiringsquad) = v1) | ? [v2] : ( ~ (v2 = 0) & executionbyfiringsquad(v0) = v2))
% 9.43/2.83 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function_denotational(v2) = v1) | ~ (function_denotational(v2) = v0))
% 9.43/2.83 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 9.43/2.83 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = v0))
% 9.43/2.83 | (51) ? [v0] : ? [v1] : executionbyfiringsquad(v0) = v1
% 9.43/2.83 | (52) ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | collection(v1) = 0)
% 9.43/2.83 | (53) ! [v0] : ! [v1] : ( ~ (isa(v0, v1) = 0) | thing(v0) = 0)
% 9.43/2.83 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v0, v1) = v4))
% 9.43/2.83 | (55) genlmt(c_cyclistsmt, c_calendarsmt) = 0
% 9.43/2.83 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4))
% 9.43/2.83 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v1, v2) = v4))
% 9.43/2.83 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0))
% 9.43/2.83 | (59) ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v1) = 0)
% 9.43/2.83 | (60) ? [v0] : ? [v1] : ? [v2] : genlinverse(v1, v0) = v2
% 9.43/2.83 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0))
% 9.43/2.83 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationallexists(v0, v1, v2) = 0) | collection(v1) = 0)
% 9.43/2.83 | (63) genlmt(c_calendarsmt, c_calendarsvocabularymt) = 0
% 9.43/2.83 | (64) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_tptpcol_16_29490) = v1) | ? [v2] : ( ~ (v2 = 0) & tptpcol_16_29490(v0) = v2))
% 9.43/2.83 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0))
% 9.43/2.83 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) = v0))
% 9.43/2.83 | (67) ? [v0] : ? [v1] : positiveinteger(v0) = v1
% 9.43/2.83 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 9.43/2.83 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0))
% 9.43/2.83 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v0, v2) = 0)
% 9.43/2.83 | (71) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | collection(v0) = 0)
% 9.43/2.83 | (72) ! [v0] : ! [v1] : ( ~ (disjointwith(v0, v1) = 0) | disjointwith(v1, v0) = 0)
% 9.43/2.83 | (73) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v2) = v3))
% 9.43/2.83 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : natargument(v2, v1, v0) = v3
% 9.43/2.83 | (75) genlmt(c_calendarsvocabularymt, c_basekb) = 0
% 9.43/2.83 | (76) ? [v0] : ? [v1] : predicate(v0) = v1
% 9.43/2.83 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v1) | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v0))
% 9.43/2.84 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlinverse(v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 9.43/2.84 | (79) ? [v0] : ? [v1] : ? [v2] : genlpreds(v1, v0) = v2
% 9.43/2.84 | (80) resultisaarg(c_relationallexistsfn, n_4) = 0
% 9.43/2.84 | (81) ? [v0] : ? [v1] : tptpcol_16_29490(v0) = v1
% 9.43/2.84 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (disjointwith(v1, v2) = 0) | ~ (isa(v0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & isa(v0, v1) = v3))
% 9.43/2.84 | (83) ? [v0] : ? [v1] : ? [v2] : genlmt(v1, v0) = v2
% 9.43/2.84 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v2, v1, v3) = v4) | ? [v5] : ((v5 = 0 & isa(v4, v3) = 0) | ( ~ (v5 = 0) & relationallexists(v2, v1, v3) = v5) | ( ~ (v5 = 0) & isa(v0, v1) = v5)))
% 9.43/2.84 | (85) ? [v0] : ? [v1] : mtvisible(v0) = v1
% 9.43/2.84 | (86) ! [v0] : ! [v1] : ( ~ (genlinverse(v0, v1) = 0) | binarypredicate(v0) = 0)
% 9.43/2.84 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v0, v2) = v3) | ~ (genlpreds(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genlpreds(v1, v2) = v4))
% 9.43/2.84 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v1, v2) = 0) | ~ (isa(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & isa(v0, v1) = v4))
% 9.43/2.84 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_4, v3) = 0)
% 9.43/2.84 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_16_29490(v2) = v1) | ~ (tptpcol_16_29490(v2) = v0))
% 9.43/2.84 | (91) ? [v0] : ? [v1] : microtheory(v0) = v1
% 9.43/2.84 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (positiveinteger(v2) = v1) | ~ (positiveinteger(v2) = v0))
% 9.43/2.84 | (93) ! [v0] : ! [v1] : (v1 = 0 | ~ (executionbyfiringsquad(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & isa(v0, c_executionbyfiringsquad) = v2))
% 9.43/2.84 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_3, v2) = 0)
% 9.43/2.84 | (95) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0
% 9.43/2.84 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (disjointwith(v0, v2) = v3) | ~ (disjointwith(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & genls(v2, v1) = v4))
% 9.43/2.84 | (97) ! [v0] : ! [v1] : (v1 = 0 | ~ (genlmt(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & microtheory(v0) = v2))
% 9.43/2.84 | (98) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjointwith(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & disjointwith(v0, v1) = v3))
% 9.43/2.84 | (99) genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0
% 9.43/2.84 | (100) mtvisible(c_basekb) = 0
% 9.43/2.84 | (101) ? [v0] : ? [v1] : binarypredicate(v0) = v1
% 9.43/2.84 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0))
% 9.43/2.84 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_1, v0) = 0)
% 9.43/2.84 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4))
% 9.43/2.84 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0))
% 9.43/2.84 | (106) ? [v0] : ? [v1] : ? [v2] : tptp_9_720(v1, v0) = v2
% 9.43/2.84 | (107) mtvisible(c_cyclistsmt) = all_0_1_1
% 9.43/2.84 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v0) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v2, v1) = 0)
% 9.43/2.84 | (109) ! [v0] : ! [v1] : ( ~ (resultisaarg(v0, v1) = 0) | function_denotational(v0) = 0)
% 9.43/2.84 | (110) ! [v0] : ! [v1] : ( ~ (all_0_1_1 = 0) | ~ (f_relationallexistsfn(v0, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v1) | ? [v2] : ((v2 = 0 & tptp_9_720(v0, v1) = 0) | ( ~ (v2 = 0) & executionbyfiringsquad(v0) = v2)))
% 9.43/2.84 | (111) ? [v0] : ? [v1] : transitivebinarypredicate(v0) = v1
% 9.43/2.84 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (relationallexists(v0, v1, v2) = 0) | binarypredicate(v0) = 0)
% 9.43/2.84 | (113) ! [v0] : ( ~ (isa(v0, c_transitivebinarypredicate) = 0) | transitivebinarypredicate(v0) = 0)
% 9.43/2.84 | (114) ! [v0] : ( ~ (transitivebinarypredicate(v0) = 0) | isa(v0, c_transitivebinarypredicate) = 0)
% 9.43/2.84 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natfunction(v4, c_relationallexistsfn) = 0)
% 9.43/2.84 | (116) ! [v0] : ! [v1] : (v1 = 0 | ~ (isa(v0, c_transitivebinarypredicate) = v1) | ? [v2] : ( ~ (v2 = 0) & transitivebinarypredicate(v0) = v2))
% 9.43/2.84 | (117) ! [v0] : ! [v1] : ( ~ (genlmt(v0, v1) = 0) | ? [v2] : ((v2 = 0 & mtvisible(v1) = 0) | ( ~ (v2 = 0) & mtvisible(v0) = v2)))
% 9.43/2.84 | (118) ! [v0] : ( ~ (predicate(v0) = 0) | genlpreds(v0, v0) = 0)
% 9.43/2.84 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relationallexists(v4, v3, v2) = v1) | ~ (relationallexists(v4, v3, v2) = v0))
% 9.43/2.85 | (120) ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v1) = 0)
% 9.43/2.85 | (121) ! [v0] : ( ~ (all_0_1_1 = 0) | ~ (executionbyfiringsquad(v0) = 0) | ? [v1] : (tptp_9_720(v0, v1) = 0 & f_relationallexistsfn(v0, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v1))
% 9.43/2.85 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (genls(v2, v1) = 0) | ~ (disjointwith(v0, v1) = 0) | disjointwith(v0, v2) = 0)
% 9.43/2.85 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v2, v0) = 0) | ~ (genlinverse(v0, v1) = 0) | genlinverse(v2, v1) = 0)
% 9.43/2.85 | (124) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tptpcol_5_28674(v2) = v1) | ~ (tptpcol_5_28674(v2) = v0))
% 9.43/2.85 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0))
% 9.43/2.85 | (126) ! [v0] : ! [v1] : ( ~ (genlpreds(v0, v1) = 0) | predicate(v0) = 0)
% 9.43/2.85 | (127) genlmt(c_basekb, c_universalvocabularymt) = 0
% 9.43/2.85 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genls(v2, v0) = 0) | ~ (disjointwith(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & disjointwith(v0, v1) = v4))
% 9.43/2.85 | (129) ! [v0] : ( ~ (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptpcol_16_29490(v0) = v1))
% 9.43/2.85 | (130) ! [v0] : ( ~ (tptpcol_16_29490(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = v1))
% 9.43/2.85 | (131) ? [v0] : ? [v1] : ? [v2] : genls(v1, v0) = v2
% 9.43/2.85 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (genlpreds(v1, v2) = 0) | ~ (genlinverse(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & genlinverse(v0, v1) = v4))
% 9.43/2.85 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | natargument(v4, n_2, v1) = 0)
% 9.43/2.85 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_relationallexistsfn(v0, v1, v2, v3) = v4) | thing(v4) = 0)
% 9.43/2.85 | (135) ! [v0] : ! [v1] : ! [v2] : ( ~ (genlpreds(v1, v2) = 0) | ~ (genlpreds(v0, v1) = 0) | genlpreds(v0, v2) = 0)
% 9.43/2.85 | (136) ? [v0] : ? [v1] : ? [v2] : disjointwith(v1, v0) = v2
% 9.43/2.85 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0))
% 9.43/2.85 |
% 9.43/2.85 | Instantiating formula (117) with c_tptp_spindleheadmt, c_tptp_member3633_mt and discharging atoms genlmt(c_tptp_member3633_mt, c_tptp_spindleheadmt) = 0, yields:
% 9.43/2.85 | (138) ? [v0] : ((v0 = 0 & mtvisible(c_tptp_spindleheadmt) = 0) | ( ~ (v0 = 0) & mtvisible(c_tptp_member3633_mt) = v0))
% 9.43/2.85 |
% 9.43/2.85 | Instantiating formula (117) with c_cyclistsmt, c_tptp_spindleheadmt and discharging atoms genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = 0, yields:
% 9.43/2.85 | (139) ? [v0] : ((v0 = 0 & mtvisible(c_cyclistsmt) = 0) | ( ~ (v0 = 0) & mtvisible(c_tptp_spindleheadmt) = v0))
% 9.43/2.85 |
% 9.43/2.85 | Instantiating formula (121) with c_tptpexecutionbyfiringsquad_90 and discharging atoms executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0, yields:
% 9.43/2.85 | (140) ~ (all_0_1_1 = 0) | ? [v0] : (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0 & f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v0)
% 9.43/2.85 |
% 9.43/2.85 | Instantiating formula (33) with c_tptpexecutionbyfiringsquad_90 and discharging atoms executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = 0, yields:
% 9.43/2.85 | (141) isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = 0
% 9.43/2.85 |
% 9.43/2.85 | Instantiating (138) with all_57_0_66 yields:
% 9.43/2.85 | (142) (all_57_0_66 = 0 & mtvisible(c_tptp_spindleheadmt) = 0) | ( ~ (all_57_0_66 = 0) & mtvisible(c_tptp_member3633_mt) = all_57_0_66)
% 9.43/2.85 |
% 9.43/2.85 | Instantiating (139) with all_58_0_67 yields:
% 9.43/2.85 | (143) (all_58_0_67 = 0 & mtvisible(c_cyclistsmt) = 0) | ( ~ (all_58_0_67 = 0) & mtvisible(c_tptp_spindleheadmt) = all_58_0_67)
% 9.43/2.85 |
% 9.43/2.85 +-Applying beta-rule and splitting (142), into two cases.
% 9.43/2.85 |-Branch one:
% 9.43/2.85 | (144) all_57_0_66 = 0 & mtvisible(c_tptp_spindleheadmt) = 0
% 9.43/2.85 |
% 9.43/2.85 | Applying alpha-rule on (144) yields:
% 9.43/2.85 | (145) all_57_0_66 = 0
% 9.43/2.85 | (146) mtvisible(c_tptp_spindleheadmt) = 0
% 9.43/2.85 |
% 9.43/2.85 +-Applying beta-rule and splitting (143), into two cases.
% 9.43/2.85 |-Branch one:
% 9.43/2.85 | (147) all_58_0_67 = 0 & mtvisible(c_cyclistsmt) = 0
% 9.43/2.85 |
% 9.43/2.85 | Applying alpha-rule on (147) yields:
% 9.43/2.85 | (148) all_58_0_67 = 0
% 9.43/2.85 | (149) mtvisible(c_cyclistsmt) = 0
% 9.43/2.85 |
% 9.43/2.85 | Instantiating formula (49) with c_cyclistsmt, 0, all_0_1_1 and discharging atoms mtvisible(c_cyclistsmt) = all_0_1_1, mtvisible(c_cyclistsmt) = 0, yields:
% 9.43/2.85 | (150) all_0_1_1 = 0
% 9.43/2.85 |
% 9.43/2.85 +-Applying beta-rule and splitting (23), into two cases.
% 9.43/2.85 |-Branch one:
% 9.43/2.85 | (151) ~ (all_0_1_1 = 0)
% 9.43/2.85 |
% 9.43/2.85 | Equations (150) can reduce 151 to:
% 9.43/2.85 | (152) $false
% 9.43/2.85 |
% 9.43/2.85 |-The branch is then unsatisfiable
% 9.43/2.85 |-Branch two:
% 9.43/2.85 | (150) all_0_1_1 = 0
% 9.43/2.86 | (154) all_0_0_0 = 0 & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (154) yields:
% 9.43/2.86 | (155) all_0_0_0 = 0
% 9.43/2.86 | (156) relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0
% 9.43/2.86 |
% 9.43/2.86 +-Applying beta-rule and splitting (140), into two cases.
% 9.43/2.86 |-Branch one:
% 9.43/2.86 | (151) ~ (all_0_1_1 = 0)
% 9.43/2.86 |
% 9.43/2.86 | Equations (150) can reduce 151 to:
% 9.43/2.86 | (152) $false
% 9.43/2.86 |
% 9.43/2.86 |-The branch is then unsatisfiable
% 9.43/2.86 |-Branch two:
% 9.43/2.86 | (150) all_0_1_1 = 0
% 9.43/2.86 | (160) ? [v0] : (tptp_9_720(c_tptpexecutionbyfiringsquad_90, v0) = 0 & f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v0)
% 9.43/2.86 |
% 9.43/2.86 | Instantiating (160) with all_85_0_71 yields:
% 9.43/2.86 | (161) tptp_9_720(c_tptpexecutionbyfiringsquad_90, all_85_0_71) = 0 & f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_85_0_71
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (161) yields:
% 9.43/2.86 | (162) tptp_9_720(c_tptpexecutionbyfiringsquad_90, all_85_0_71) = 0
% 9.43/2.86 | (163) f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_85_0_71
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (129) with all_85_0_71 and discharging atoms tptp_9_720(c_tptpexecutionbyfiringsquad_90, all_85_0_71) = 0, yields:
% 9.43/2.86 | (164) ? [v0] : ( ~ (v0 = 0) & tptpcol_16_29490(all_85_0_71) = v0)
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (84) with all_85_0_71, c_tptpcol_16_29490, c_tptp_9_720, c_executionbyfiringsquad, c_tptpexecutionbyfiringsquad_90 and discharging atoms f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90, c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_85_0_71, yields:
% 9.43/2.86 | (165) ? [v0] : ((v0 = 0 & isa(all_85_0_71, c_tptpcol_16_29490) = 0) | ( ~ (v0 = 0) & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = v0) | ( ~ (v0 = 0) & isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = v0))
% 9.43/2.86 |
% 9.43/2.86 | Instantiating (164) with all_101_0_72 yields:
% 9.43/2.86 | (166) ~ (all_101_0_72 = 0) & tptpcol_16_29490(all_85_0_71) = all_101_0_72
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (166) yields:
% 9.43/2.86 | (167) ~ (all_101_0_72 = 0)
% 9.43/2.86 | (168) tptpcol_16_29490(all_85_0_71) = all_101_0_72
% 9.43/2.86 |
% 9.43/2.86 | Instantiating (165) with all_107_0_75 yields:
% 9.43/2.86 | (169) (all_107_0_75 = 0 & isa(all_85_0_71, c_tptpcol_16_29490) = 0) | ( ~ (all_107_0_75 = 0) & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_107_0_75) | ( ~ (all_107_0_75 = 0) & isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = all_107_0_75)
% 9.43/2.86 |
% 9.43/2.86 +-Applying beta-rule and splitting (169), into two cases.
% 9.43/2.86 |-Branch one:
% 9.43/2.86 | (170) (all_107_0_75 = 0 & isa(all_85_0_71, c_tptpcol_16_29490) = 0) | ( ~ (all_107_0_75 = 0) & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_107_0_75)
% 9.43/2.86 |
% 9.43/2.86 +-Applying beta-rule and splitting (170), into two cases.
% 9.43/2.86 |-Branch one:
% 9.43/2.86 | (171) all_107_0_75 = 0 & isa(all_85_0_71, c_tptpcol_16_29490) = 0
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (171) yields:
% 9.43/2.86 | (172) all_107_0_75 = 0
% 9.43/2.86 | (173) isa(all_85_0_71, c_tptpcol_16_29490) = 0
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (44) with all_101_0_72, all_85_0_71 and discharging atoms tptpcol_16_29490(all_85_0_71) = all_101_0_72, yields:
% 9.43/2.86 | (174) all_101_0_72 = 0 | ? [v0] : ( ~ (v0 = 0) & isa(all_85_0_71, c_tptpcol_16_29490) = v0)
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (25) with all_85_0_71 and discharging atoms isa(all_85_0_71, c_tptpcol_16_29490) = 0, yields:
% 9.43/2.86 | (175) tptpcol_16_29490(all_85_0_71) = 0
% 9.43/2.86 |
% 9.43/2.86 +-Applying beta-rule and splitting (174), into two cases.
% 9.43/2.86 |-Branch one:
% 9.43/2.86 | (176) all_101_0_72 = 0
% 9.43/2.86 |
% 9.43/2.86 | Equations (176) can reduce 167 to:
% 9.43/2.86 | (152) $false
% 9.43/2.86 |
% 9.43/2.86 |-The branch is then unsatisfiable
% 9.43/2.86 |-Branch two:
% 9.43/2.86 | (167) ~ (all_101_0_72 = 0)
% 9.43/2.86 | (179) ? [v0] : ( ~ (v0 = 0) & isa(all_85_0_71, c_tptpcol_16_29490) = v0)
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (90) with all_85_0_71, 0, all_101_0_72 and discharging atoms tptpcol_16_29490(all_85_0_71) = all_101_0_72, tptpcol_16_29490(all_85_0_71) = 0, yields:
% 9.43/2.86 | (176) all_101_0_72 = 0
% 9.43/2.86 |
% 9.43/2.86 | Equations (176) can reduce 167 to:
% 9.43/2.86 | (152) $false
% 9.43/2.86 |
% 9.43/2.86 |-The branch is then unsatisfiable
% 9.43/2.86 |-Branch two:
% 9.43/2.86 | (182) ~ (all_107_0_75 = 0) & relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_107_0_75
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (182) yields:
% 9.43/2.86 | (183) ~ (all_107_0_75 = 0)
% 9.43/2.86 | (184) relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_107_0_75
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (119) with c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490, all_107_0_75, 0 and discharging atoms relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = all_107_0_75, relationallexists(c_tptp_9_720, c_executionbyfiringsquad, c_tptpcol_16_29490) = 0, yields:
% 9.43/2.86 | (172) all_107_0_75 = 0
% 9.43/2.86 |
% 9.43/2.86 | Equations (172) can reduce 183 to:
% 9.43/2.86 | (152) $false
% 9.43/2.86 |
% 9.43/2.86 |-The branch is then unsatisfiable
% 9.43/2.86 |-Branch two:
% 9.43/2.86 | (187) ~ (all_107_0_75 = 0) & isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = all_107_0_75
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (187) yields:
% 9.43/2.86 | (183) ~ (all_107_0_75 = 0)
% 9.43/2.86 | (189) isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = all_107_0_75
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (105) with c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad, all_107_0_75, 0 and discharging atoms isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = all_107_0_75, isa(c_tptpexecutionbyfiringsquad_90, c_executionbyfiringsquad) = 0, yields:
% 9.43/2.86 | (172) all_107_0_75 = 0
% 9.43/2.86 |
% 9.43/2.86 | Equations (172) can reduce 183 to:
% 9.43/2.86 | (152) $false
% 9.43/2.86 |
% 9.43/2.86 |-The branch is then unsatisfiable
% 9.43/2.86 |-Branch two:
% 9.43/2.86 | (192) ~ (all_58_0_67 = 0) & mtvisible(c_tptp_spindleheadmt) = all_58_0_67
% 9.43/2.86 |
% 9.43/2.86 | Applying alpha-rule on (192) yields:
% 9.43/2.86 | (193) ~ (all_58_0_67 = 0)
% 9.43/2.86 | (194) mtvisible(c_tptp_spindleheadmt) = all_58_0_67
% 9.43/2.86 |
% 9.43/2.86 | Instantiating formula (49) with c_tptp_spindleheadmt, 0, all_58_0_67 and discharging atoms mtvisible(c_tptp_spindleheadmt) = all_58_0_67, mtvisible(c_tptp_spindleheadmt) = 0, yields:
% 9.43/2.86 | (148) all_58_0_67 = 0
% 9.43/2.87 |
% 9.43/2.87 | Equations (148) can reduce 193 to:
% 9.43/2.87 | (152) $false
% 9.43/2.87 |
% 9.43/2.87 |-The branch is then unsatisfiable
% 9.43/2.87 |-Branch two:
% 9.43/2.87 | (197) ~ (all_57_0_66 = 0) & mtvisible(c_tptp_member3633_mt) = all_57_0_66
% 9.43/2.87 |
% 9.43/2.87 | Applying alpha-rule on (197) yields:
% 9.43/2.87 | (198) ~ (all_57_0_66 = 0)
% 9.43/2.87 | (199) mtvisible(c_tptp_member3633_mt) = all_57_0_66
% 9.43/2.87 |
% 9.43/2.87 | Instantiating formula (49) with c_tptp_member3633_mt, all_57_0_66, 0 and discharging atoms mtvisible(c_tptp_member3633_mt) = all_57_0_66, mtvisible(c_tptp_member3633_mt) = 0, yields:
% 9.43/2.87 | (145) all_57_0_66 = 0
% 9.43/2.87 |
% 9.43/2.87 | Equations (145) can reduce 198 to:
% 9.43/2.87 | (152) $false
% 9.43/2.87 |
% 9.43/2.87 |-The branch is then unsatisfiable
% 9.43/2.87 % SZS output end Proof for theBenchmark
% 9.43/2.87
% 9.43/2.87 2295ms
%------------------------------------------------------------------------------