TSTP Solution File: CSR062+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR062+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 02:50:53 EDT 2022
% Result : Theorem 3.09s 1.42s
% Output : Proof 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR062+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 17:53:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.58 ____ _
% 0.48/0.58 ___ / __ \_____(_)___ ________ __________
% 0.48/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.58
% 0.48/0.58 A Theorem Prover for First-Order Logic
% 0.48/0.59 (ePrincess v.1.0)
% 0.48/0.59
% 0.48/0.59 (c) Philipp Rümmer, 2009-2015
% 0.48/0.59 (c) Peter Backeman, 2014-2015
% 0.48/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.59 Bug reports to peter@backeman.se
% 0.48/0.59
% 0.48/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.59
% 0.48/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/0.98 Prover 0: Preprocessing ...
% 2.21/1.19 Prover 0: Constructing countermodel ...
% 3.09/1.42 Prover 0: proved (784ms)
% 3.09/1.42
% 3.09/1.42 No countermodel exists, formula is valid
% 3.09/1.42 % SZS status Theorem for theBenchmark
% 3.09/1.42
% 3.09/1.42 Generating proof ... found it (size 11)
% 4.28/1.72
% 4.28/1.72 % SZS output start Proof for theBenchmark
% 4.28/1.72 Assumed formulas after preprocessing and simplification:
% 4.28/1.72 | (0) mtvisible(c_tptp_member3205_mt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & genlinverse(c_tptptypes_7_389, c_tptptypes_6_388) & genlpreds(c_tptptypes_8_390, c_tptptypes_7_389) & genlpreds(c_tptptypes_6_388, c_tptptypes_5_387) & transitivebinarypredicate(c_genlmt) & genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt) & 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_8_390(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_390(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_390(v0, v1) | tptptypes_7_389(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | tptptypes_6_388(v1, v0)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) & ! [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] : ( ~ pushingwithfingers(v0) | isa(v0, c_pushingwithfingers)) & ! [v0] : ( ~ tptpcol_15_4027(v0) | isa(v0, c_tptpcol_15_4027)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_tptpcol_15_4027) | tptpcol_15_4027(v0)) & ! [v0] : ( ~ isa(v0, c_pushingwithfingers) | pushingwithfingers(v0)) & ! [v0] : ~ tptptypes_5_387(v0, c_pushingwithfingers) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ mtvisible(c_cyclistsmt) | tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027))
% 4.49/1.74 | Applying alpha-rule on (0) yields:
% 4.49/1.74 | (1) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 4.49/1.74 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 4.49/1.74 | (3) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 4.49/1.74 | (4) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 4.49/1.74 | (5) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 4.49/1.74 | (6) ! [v0] : ! [v1] : ( ~ tptptypes_8_390(v0, v1) | tptptypes_7_389(v0, v1))
% 4.53/1.75 | (7) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 4.53/1.75 | (8) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 4.53/1.75 | (9) mtvisible(c_universalvocabularymt)
% 4.53/1.75 | (10) mtvisible(c_basekb)
% 4.53/1.75 | (11) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v1))
% 4.53/1.75 | (12) genlinverse(c_tptptypes_7_389, c_tptptypes_6_388)
% 4.53/1.75 | (13) transitivebinarypredicate(c_genlmt)
% 4.53/1.75 | (14) genlmt(c_cyclistsmt, c_calendarsmt)
% 4.53/1.75 | (15) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 4.53/1.75 | (16) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 4.53/1.75 | (17) ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v1))
% 4.53/1.75 | (18) ~ mtvisible(c_cyclistsmt) | tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027)
% 4.53/1.75 | (19) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 4.53/1.75 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 4.53/1.75 | (21) genlmt(c_calendarsmt, c_calendarsvocabularymt)
% 4.53/1.75 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 4.53/1.75 | (23) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 4.53/1.75 | (24) genlmt(c_calendarsvocabularymt, c_basekb)
% 4.53/1.75 | (25) genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt)
% 4.53/1.75 | (26) ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | tptptypes_6_388(v1, v0))
% 4.53/1.75 | (27) ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v1))
% 4.53/1.75 | (28) ! [v0] : ~ tptptypes_5_387(v0, c_pushingwithfingers)
% 4.53/1.75 | (29) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 4.53/1.75 | (30) mtvisible(c_tptp_member3205_mt)
% 4.53/1.75 | (31) genlpreds(c_tptptypes_8_390, c_tptptypes_7_389)
% 4.53/1.75 | (32) ! [v0] : ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v0))
% 4.53/1.75 | (33) genlpreds(c_tptptypes_6_388, c_tptptypes_5_387)
% 4.53/1.75 | (34) ! [v0] : ( ~ isa(v0, c_tptpcol_15_4027) | tptpcol_15_4027(v0))
% 4.53/1.75 | (35) ! [v0] : ( ~ tptpcol_15_4027(v0) | isa(v0, c_tptpcol_15_4027))
% 4.53/1.75 | (36) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 4.53/1.75 | (37) ! [v0] : ! [v1] : ( ~ tptptypes_8_390(v0, v1) | firstordercollection(v1))
% 4.53/1.75 | (38) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 4.53/1.75 | (39) ! [v0] : ! [v1] : ( ~ tptptypes_8_390(v0, v1) | firstordercollection(v0))
% 4.53/1.75 | (40) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v0))
% 4.53/1.75 | (41) ! [v0] : ( ~ isa(v0, c_pushingwithfingers) | pushingwithfingers(v0))
% 4.53/1.75 | (42) ! [v0] : ( ~ pushingwithfingers(v0) | isa(v0, c_pushingwithfingers))
% 4.53/1.75 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 4.53/1.75 | (44) genlmt(c_basekb, c_universalvocabularymt)
% 4.53/1.75 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2))
% 4.53/1.75 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v1, v2) | genlinverse(v0, v2))
% 4.53/1.75 | (47) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 4.53/1.76 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v2, v0) | genlinverse(v2, v1))
% 4.53/1.76 | (49) ! [v0] : ! [v1] : ( ~ tptptypes_6_388(v0, v1) | tptptypes_5_387(v0, v1))
% 4.53/1.76 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 4.53/1.76 | (51) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 4.53/1.76 | (52) ! [v0] : ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v0))
% 4.53/1.76 | (53) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 4.53/1.76 | (54) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 4.53/1.76 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (50) with c_cyclistsmt, c_tptp_spindleheadmt, c_tptp_member3205_mt and discharging atoms genlmt(c_tptp_member3205_mt, c_tptp_spindleheadmt), genlmt(c_tptp_spindleheadmt, c_cyclistsmt), yields:
% 4.53/1.76 | (56) genlmt(c_tptp_member3205_mt, c_cyclistsmt)
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (1) with c_cyclistsmt, c_tptp_member3205_mt and discharging atoms mtvisible(c_tptp_member3205_mt), genlmt(c_tptp_member3205_mt, c_cyclistsmt), yields:
% 4.53/1.76 | (57) mtvisible(c_cyclistsmt)
% 4.53/1.76 |
% 4.53/1.76 +-Applying beta-rule and splitting (18), into two cases.
% 4.53/1.76 |-Branch one:
% 4.53/1.76 | (58) tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027)
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (6) with c_tptpcol_15_4027, c_pushingwithfingers and discharging atoms tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027), yields:
% 4.53/1.76 | (59) tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027)
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (26) with c_tptpcol_15_4027, c_pushingwithfingers and discharging atoms tptptypes_7_389(c_pushingwithfingers, c_tptpcol_15_4027), yields:
% 4.53/1.76 | (60) tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers)
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (49) with c_pushingwithfingers, c_tptpcol_15_4027 and discharging atoms tptptypes_6_388(c_tptpcol_15_4027, c_pushingwithfingers), yields:
% 4.53/1.76 | (61) tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers)
% 4.53/1.76 |
% 4.53/1.76 | Instantiating formula (28) with c_tptpcol_15_4027 and discharging atoms tptptypes_5_387(c_tptpcol_15_4027, c_pushingwithfingers), yields:
% 4.53/1.76 | (62) $false
% 4.53/1.76 |
% 4.53/1.76 |-The branch is then unsatisfiable
% 4.53/1.76 |-Branch two:
% 4.53/1.76 | (63) ~ tptptypes_8_390(c_pushingwithfingers, c_tptpcol_15_4027)
% 4.53/1.76 | (64) ~ mtvisible(c_cyclistsmt)
% 4.53/1.76 |
% 4.53/1.76 | Using (57) and (64) yields:
% 4.53/1.76 | (62) $false
% 4.53/1.76 |
% 4.53/1.76 |-The branch is then unsatisfiable
% 4.53/1.76 % SZS output end Proof for theBenchmark
% 4.53/1.76
% 4.53/1.76 1168ms
%------------------------------------------------------------------------------