TSTP Solution File: SEU275+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n012.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 : Tue Jul 19 08:48:23 EDT 2022
% Result : Theorem 2.07s 1.20s
% Output : Proof 2.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 03:10:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.42/0.96 Prover 0: Preprocessing ...
% 1.79/1.10 Prover 0: Constructing countermodel ...
% 2.07/1.20 Prover 0: proved (541ms)
% 2.07/1.20
% 2.07/1.20 No countermodel exists, formula is valid
% 2.07/1.20 % SZS status Theorem for theBenchmark
% 2.07/1.20
% 2.07/1.20 Generating proof ... found it (size 10)
% 2.47/1.38
% 2.47/1.38 % SZS output start Proof for theBenchmark
% 2.47/1.38 Assumed formulas after preprocessing and simplification:
% 2.62/1.38 | (0) ? [v0] : ? [v1] : ? [v2] : (inclusion_relation(v0) = v1 & epsilon_connected(v2) & epsilon_transitive(v2) & ordinal(v2) & ordinal(v0) & ~ well_ordering(v1) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (inclusion_relation(v5) = v4) | ~ (inclusion_relation(v5) = v3)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | ~ ordinal(v3) | well_founded_relation(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | ~ ordinal(v3) | connected(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | antisymmetric(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | transitive(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | reflexive(v4)) & ! [v3] : ! [v4] : ( ~ (inclusion_relation(v3) = v4) | relation(v4)) & ! [v3] : ( ~ well_founded_relation(v3) | ~ connected(v3) | ~ antisymmetric(v3) | ~ transitive(v3) | ~ reflexive(v3) | ~ relation(v3) | well_ordering(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | well_founded_relation(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | connected(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | antisymmetric(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | transitive(v3)) & ! [v3] : ( ~ well_ordering(v3) | ~ relation(v3) | reflexive(v3)) & ! [v3] : ( ~ epsilon_connected(v3) | ~ epsilon_transitive(v3) | ordinal(v3)) & ! [v3] : ( ~ ordinal(v3) | epsilon_connected(v3)) & ! [v3] : ( ~ ordinal(v3) | epsilon_transitive(v3)))
% 2.62/1.42 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 2.62/1.42 | (1) inclusion_relation(all_0_2_2) = all_0_1_1 & epsilon_connected(all_0_0_0) & epsilon_transitive(all_0_0_0) & ordinal(all_0_0_0) & ordinal(all_0_2_2) & ~ well_ordering(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inclusion_relation(v2) = v1) | ~ (inclusion_relation(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | well_founded_relation(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | connected(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1)) & ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1)) & ! [v0] : ( ~ well_founded_relation(v0) | ~ connected(v0) | ~ antisymmetric(v0) | ~ transitive(v0) | ~ reflexive(v0) | ~ relation(v0) | well_ordering(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | well_founded_relation(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | connected(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | antisymmetric(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | transitive(v0)) & ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | reflexive(v0)) & ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0))
% 2.62/1.42 |
% 2.62/1.42 | Applying alpha-rule on (1) yields:
% 2.62/1.42 | (2) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | connected(v0))
% 2.62/1.42 | (3) ! [v0] : ( ~ well_founded_relation(v0) | ~ connected(v0) | ~ antisymmetric(v0) | ~ transitive(v0) | ~ reflexive(v0) | ~ relation(v0) | well_ordering(v0))
% 2.62/1.43 | (4) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | relation(v1))
% 2.62/1.43 | (5) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | reflexive(v0))
% 2.62/1.43 | (6) epsilon_transitive(all_0_0_0)
% 2.62/1.43 | (7) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | transitive(v0))
% 2.62/1.43 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inclusion_relation(v2) = v1) | ~ (inclusion_relation(v2) = v0))
% 2.62/1.43 | (9) ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0))
% 2.62/1.43 | (10) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | transitive(v1))
% 2.62/1.43 | (11) epsilon_connected(all_0_0_0)
% 2.62/1.43 | (12) ordinal(all_0_0_0)
% 2.62/1.43 | (13) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | reflexive(v1))
% 2.62/1.43 | (14) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | antisymmetric(v0))
% 2.62/1.43 | (15) ~ well_ordering(all_0_1_1)
% 2.62/1.43 | (16) ordinal(all_0_2_2)
% 2.62/1.43 | (17) ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0))
% 2.62/1.43 | (18) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | well_founded_relation(v1))
% 2.62/1.43 | (19) ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0))
% 2.62/1.43 | (20) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | antisymmetric(v1))
% 2.62/1.43 | (21) ! [v0] : ( ~ well_ordering(v0) | ~ relation(v0) | well_founded_relation(v0))
% 2.62/1.43 | (22) ! [v0] : ! [v1] : ( ~ (inclusion_relation(v0) = v1) | ~ ordinal(v0) | connected(v1))
% 2.62/1.43 | (23) inclusion_relation(all_0_2_2) = all_0_1_1
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (20) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields:
% 2.62/1.43 | (24) antisymmetric(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (10) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields:
% 2.62/1.43 | (25) transitive(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (13) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields:
% 2.62/1.43 | (26) reflexive(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (4) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, yields:
% 2.62/1.43 | (27) relation(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (18) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, ordinal(all_0_2_2), yields:
% 2.62/1.43 | (28) well_founded_relation(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (22) with all_0_1_1, all_0_2_2 and discharging atoms inclusion_relation(all_0_2_2) = all_0_1_1, ordinal(all_0_2_2), yields:
% 2.62/1.43 | (29) connected(all_0_1_1)
% 2.62/1.43 |
% 2.62/1.43 | Instantiating formula (3) with all_0_1_1 and discharging atoms well_founded_relation(all_0_1_1), connected(all_0_1_1), antisymmetric(all_0_1_1), transitive(all_0_1_1), reflexive(all_0_1_1), relation(all_0_1_1), ~ well_ordering(all_0_1_1), yields:
% 2.62/1.43 | (30) $false
% 2.62/1.43 |
% 2.62/1.44 |-The branch is then unsatisfiable
% 2.62/1.44 % SZS output end Proof for theBenchmark
% 2.62/1.44
% 2.62/1.44 836ms
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