TSTP Solution File: CSR073+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR073+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 02:51:02 EDT 2022
% Result : Theorem 3.01s 1.36s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR073+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 10 15:45:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.59 ____ _
% 0.58/0.59 ___ / __ \_____(_)___ ________ __________
% 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.59
% 0.58/0.59 A Theorem Prover for First-Order Logic
% 0.58/0.59 (ePrincess v.1.0)
% 0.58/0.59
% 0.58/0.59 (c) Philipp Rümmer, 2009-2015
% 0.58/0.59 (c) Peter Backeman, 2014-2015
% 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.59 Bug reports to peter@backeman.se
% 0.58/0.59
% 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.59
% 0.58/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/0.95 Prover 0: Preprocessing ...
% 2.02/1.12 Prover 0: Constructing countermodel ...
% 3.01/1.36 Prover 0: proved (717ms)
% 3.01/1.36
% 3.01/1.36 No countermodel exists, formula is valid
% 3.01/1.36 % SZS status Theorem for theBenchmark
% 3.01/1.36
% 3.01/1.36 Generating proof ... found it (size 11)
% 4.33/1.66
% 4.33/1.66 % SZS output start Proof for theBenchmark
% 4.33/1.66 Assumed formulas after preprocessing and simplification:
% 4.33/1.66 | (0) mtvisible(c_tptp_spindlecollectormt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & genlinverse(c_tptptypes_9_401, c_tptptypes_8_400) & genlpreds(c_tptptypes_8_400, c_tptptypes_7_396) & genlpreds(c_tptptypes_7_396, c_tptptypes_6_388) & genlpreds(c_tptptypes_6_388, c_tptptypes_5_387) & transitivebinarypredicate(c_genlmt) & genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt) & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) & genlmt(c_cyclistsmt, c_calendarsmt) & genlmt(c_basekb, c_universalvocabularymt) & genlmt(c_calendarsvocabularymt, c_basekb) & genlmt(c_calendarsmt, c_calendarsvocabularymt) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v2, v0) | genlinverse(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v1, v2) | genlinverse(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | tptptypes_8_400(v1, v0)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | tptptypes_7_396(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | tptptypes_6_388(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | tptptypes_5_387(v0, v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) & ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ pushingababycarriage(v0) | isa(v0, c_pushingababycarriage)) & ! [v0] : ( ~ tptpcol_16_10258(v0) | isa(v0, c_tptpcol_16_10258)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_tptpcol_16_10258) | tptpcol_16_10258(v0)) & ! [v0] : ( ~ isa(v0, c_pushingababycarriage) | pushingababycarriage(v0)) & ! [v0] : ~ tptptypes_5_387(v0, c_pushingababycarriage) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_member237_mt) | tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258))
% 4.33/1.69 | Applying alpha-rule on (0) yields:
% 4.33/1.69 | (1) mtvisible(c_universalvocabularymt)
% 4.33/1.69 | (2) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 4.33/1.69 | (3) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 4.33/1.69 | (4) genlinverse(c_tptptypes_9_401, c_tptptypes_8_400)
% 4.33/1.69 | (5) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 4.33/1.69 | (6) ! [v0] : ( ~ isa(v0, c_pushingababycarriage) | pushingababycarriage(v0))
% 4.33/1.69 | (7) ! [v0] : ( ~ pushingababycarriage(v0) | isa(v0, c_pushingababycarriage))
% 4.33/1.69 | (8) genlpreds(c_tptptypes_6_388, c_tptptypes_5_387)
% 4.33/1.69 | (9) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)
% 4.33/1.69 | (10) ! [v0] : ~ tptptypes_5_387(v0, c_pushingababycarriage)
% 4.33/1.69 | (11) ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | tptptypes_6_388(v0, v1))
% 4.33/1.69 | (12) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 4.33/1.69 | (13) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 4.33/1.69 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 4.33/1.69 | (15) ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v1))
% 4.33/1.69 | (16) ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | firstordercollection(v1))
% 4.33/1.69 | (17) genlmt(c_basekb, c_universalvocabularymt)
% 4.33/1.69 | (18) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 4.33/1.69 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 4.33/1.69 | (20) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 4.33/1.69 | (21) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 4.33/1.69 | (22) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 4.33/1.69 | (23) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 4.33/1.69 | (24) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 4.33/1.69 | (25) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 4.33/1.69 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2))
% 4.33/1.69 | (27) mtvisible(c_tptp_spindlecollectormt)
% 4.33/1.69 | (28) mtvisible(c_basekb)
% 4.33/1.69 | (29) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 4.33/1.69 | (30) ! [v0] : ( ~ isa(v0, c_tptpcol_16_10258) | tptpcol_16_10258(v0))
% 4.33/1.69 | (31) ! [v0] : ( ~ tptpcol_16_10258(v0) | isa(v0, c_tptpcol_16_10258))
% 4.33/1.69 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v2, v0) | genlinverse(v2, v1))
% 4.33/1.69 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v1, v2) | genlinverse(v0, v2))
% 4.33/1.69 | (34) genlmt(c_calendarsvocabularymt, c_basekb)
% 4.33/1.69 | (35) genlmt(c_calendarsmt, c_calendarsvocabularymt)
% 4.33/1.69 | (36) genlmt(c_cyclistsmt, c_calendarsmt)
% 4.33/1.69 | (37) ~ mtvisible(c_tptp_member237_mt) | tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258)
% 4.33/1.69 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 4.33/1.69 | (39) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 4.33/1.69 | (40) ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | firstordercollection(v0))
% 4.33/1.69 | (41) genlpreds(c_tptptypes_8_400, c_tptptypes_7_396)
% 4.33/1.69 | (42) genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt)
% 4.33/1.69 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 4.33/1.69 | (44) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v0))
% 4.33/1.69 | (45) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | tptptypes_5_387(v0, v1))
% 4.33/1.69 | (46) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 4.33/1.69 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 4.33/1.70 | (48) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 4.33/1.70 | (49) ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v0))
% 4.33/1.70 | (50) ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | firstordercollection(v1))
% 4.33/1.70 | (51) ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | firstordercollection(v0))
% 4.33/1.70 | (52) ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | tptptypes_7_396(v0, v1))
% 4.33/1.70 | (53) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v1))
% 4.33/1.70 | (54) ! [v0] : ! [v1] : ( ~ tptptypes_9_401(v0, v1) | tptptypes_8_400(v1, v0))
% 4.33/1.70 | (55) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 4.33/1.70 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 4.33/1.70 | (57) ! [v0] : ! [v1] : ( ~ tptptypes_7_396(v0, v1) | firstordercollection(v0))
% 4.33/1.70 | (58) genlpreds(c_tptptypes_7_396, c_tptptypes_6_388)
% 4.33/1.70 | (59) transitivebinarypredicate(c_genlmt)
% 4.33/1.70 | (60) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)
% 4.33/1.70 | (61) ! [v0] : ! [v1] : ( ~ tptptypes_8_400(v0, v1) | firstordercollection(v1))
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (48) with c_tptp_member237_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member237_mt), yields:
% 4.33/1.70 | (62) mtvisible(c_tptp_member237_mt)
% 4.33/1.70 |
% 4.33/1.70 +-Applying beta-rule and splitting (37), into two cases.
% 4.33/1.70 |-Branch one:
% 4.33/1.70 | (63) tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258)
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (54) with c_tptpcol_16_10258, c_pushingababycarriage and discharging atoms tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258), yields:
% 4.33/1.70 | (64) tptptypes_8_400(c_tptpcol_16_10258, c_pushingababycarriage)
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (52) with c_pushingababycarriage, c_tptpcol_16_10258 and discharging atoms tptptypes_8_400(c_tptpcol_16_10258, c_pushingababycarriage), yields:
% 4.33/1.70 | (65) tptptypes_7_396(c_tptpcol_16_10258, c_pushingababycarriage)
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (11) with c_pushingababycarriage, c_tptpcol_16_10258 and discharging atoms tptptypes_7_396(c_tptpcol_16_10258, c_pushingababycarriage), yields:
% 4.33/1.70 | (66) tptptypes_6_388(c_tptpcol_16_10258, c_pushingababycarriage)
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (45) with c_pushingababycarriage, c_tptpcol_16_10258 and discharging atoms tptptypes_6_388(c_tptpcol_16_10258, c_pushingababycarriage), yields:
% 4.33/1.70 | (67) tptptypes_5_387(c_tptpcol_16_10258, c_pushingababycarriage)
% 4.33/1.70 |
% 4.33/1.70 | Instantiating formula (10) with c_tptpcol_16_10258 and discharging atoms tptptypes_5_387(c_tptpcol_16_10258, c_pushingababycarriage), yields:
% 4.33/1.70 | (68) $false
% 4.33/1.70 |
% 4.33/1.70 |-The branch is then unsatisfiable
% 4.33/1.70 |-Branch two:
% 4.33/1.70 | (69) ~ tptptypes_9_401(c_pushingababycarriage, c_tptpcol_16_10258)
% 4.33/1.70 | (70) ~ mtvisible(c_tptp_member237_mt)
% 4.33/1.70 |
% 4.33/1.70 | Using (62) and (70) yields:
% 4.33/1.70 | (68) $false
% 4.33/1.70 |
% 4.33/1.70 |-The branch is then unsatisfiable
% 4.33/1.70 % SZS output end Proof for theBenchmark
% 4.33/1.70
% 4.33/1.70 1101ms
%------------------------------------------------------------------------------