TSTP Solution File: NUM395+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 : Mon Jul 18 08:44:08 EDT 2022
% Result : Theorem 1.95s 1.02s
% Output : Proof 2.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Thu Jul 7 01:28:29 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.43 ____ _
% 0.11/0.43 ___ / __ \_____(_)___ ________ __________
% 0.11/0.43 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.43 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.11/0.43 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.11/0.43
% 0.11/0.43 A Theorem Prover for First-Order Logic
% 0.11/0.44 (ePrincess v.1.0)
% 0.11/0.44
% 0.11/0.44 (c) Philipp Rümmer, 2009-2015
% 0.11/0.44 (c) Peter Backeman, 2014-2015
% 0.11/0.44 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.44 Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.44 Bug reports to peter@backeman.se
% 0.11/0.44
% 0.11/0.44 For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.44
% 0.11/0.44 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.11/0.48 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.36/0.79 Prover 0: Preprocessing ...
% 1.48/0.89 Prover 0: Warning: ignoring some quantifiers
% 1.48/0.91 Prover 0: Constructing countermodel ...
% 1.95/1.02 Prover 0: proved (532ms)
% 1.95/1.02
% 1.95/1.02 No countermodel exists, formula is valid
% 1.95/1.02 % SZS status Theorem for theBenchmark
% 1.95/1.02
% 1.95/1.02 Generating proof ... Warning: ignoring some quantifiers
% 2.58/1.16 found it (size 4)
% 2.58/1.16
% 2.58/1.16 % SZS output start Proof for theBenchmark
% 2.58/1.16 Assumed formulas after preprocessing and simplification:
% 2.58/1.16 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (relation_non_empty(v5) & relation_empty_yielding(v6) & relation_empty_yielding(v2) & relation_empty_yielding(empty_set) & epsilon_connected(v10) & epsilon_connected(empty_set) & epsilon_transitive(v10) & epsilon_transitive(empty_set) & ordinal(v10) & one_to_one(v7) & relation(v9) & relation(v8) & relation(v7) & relation(v6) & relation(v5) & relation(v4) & relation(v3) & relation(v2) & relation(empty_set) & function(v9) & function(v8) & function(v7) & function(v6) & function(v5) & empty(v8) & empty(v4) & empty(v1) & empty(empty_set) & ~ ordinal(empty_set) & ~ empty(v3) & ~ empty(v0) & ! [v11] : ! [v12] : (v12 = v11 | ~ empty(v12) | ~ empty(v11)) & ! [v11] : ! [v12] : ( ~ in(v12, v11) | ~ in(v11, v12)) & ! [v11] : ! [v12] : ( ~ in(v11, v12) | ~ empty(v12)) & ! [v11] : ! [v12] : ( ~ in(v11, v12) | element(v11, v12)) & ! [v11] : ! [v12] : ( ~ element(v11, v12) | in(v11, v12) | empty(v12)) & ! [v11] : (v11 = empty_set | ~ empty(v11)) & ! [v11] : ( ~ epsilon_connected(v11) | ~ epsilon_transitive(v11) | ordinal(v11)) & ! [v11] : ( ~ ordinal(v11) | epsilon_connected(v11)) & ! [v11] : ( ~ ordinal(v11) | epsilon_transitive(v11)) & ! [v11] : ( ~ relation(v11) | ~ function(v11) | ~ empty(v11) | one_to_one(v11)) & ! [v11] : ( ~ empty(v11) | relation(v11)) & ! [v11] : ( ~ empty(v11) | function(v11)) & ? [v11] : ? [v12] : element(v12, v11))
% 2.58/1.17 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 2.58/1.17 | (1) relation_non_empty(all_0_5_5) & relation_empty_yielding(all_0_4_4) & relation_empty_yielding(all_0_8_8) & relation_empty_yielding(empty_set) & epsilon_connected(all_0_0_0) & epsilon_connected(empty_set) & epsilon_transitive(all_0_0_0) & epsilon_transitive(empty_set) & ordinal(all_0_0_0) & one_to_one(all_0_3_3) & relation(all_0_1_1) & relation(all_0_2_2) & relation(all_0_3_3) & relation(all_0_4_4) & relation(all_0_5_5) & relation(all_0_6_6) & relation(all_0_7_7) & relation(all_0_8_8) & relation(empty_set) & function(all_0_1_1) & function(all_0_2_2) & function(all_0_3_3) & function(all_0_4_4) & function(all_0_5_5) & empty(all_0_2_2) & empty(all_0_6_6) & empty(all_0_9_9) & empty(empty_set) & ~ ordinal(empty_set) & ~ empty(all_0_7_7) & ~ empty(all_0_10_10) & ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | ~ empty(v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) & ! [v0] : ! [v1] : ( ~ element(v0, v1) | in(v0, v1) | empty(v1)) & ! [v0] : (v0 = empty_set | ~ empty(v0)) & ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0)) & ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0)) & ! [v0] : ( ~ relation(v0) | ~ function(v0) | ~ empty(v0) | one_to_one(v0)) & ! [v0] : ( ~ empty(v0) | relation(v0)) & ! [v0] : ( ~ empty(v0) | function(v0)) & ? [v0] : ? [v1] : element(v1, v0)
% 2.58/1.18 |
% 2.58/1.18 | Applying alpha-rule on (1) yields:
% 2.58/1.18 | (2) function(all_0_3_3)
% 2.58/1.18 | (3) relation_non_empty(all_0_5_5)
% 2.58/1.18 | (4) relation(all_0_7_7)
% 2.58/1.18 | (5) relation(empty_set)
% 2.58/1.18 | (6) relation(all_0_1_1)
% 2.58/1.18 | (7) function(all_0_1_1)
% 2.58/1.18 | (8) epsilon_transitive(all_0_0_0)
% 2.58/1.18 | (9) relation_empty_yielding(empty_set)
% 2.58/1.18 | (10) function(all_0_4_4)
% 2.58/1.18 | (11) ordinal(all_0_0_0)
% 2.58/1.18 | (12) function(all_0_2_2)
% 2.58/1.18 | (13) ! [v0] : ( ~ empty(v0) | function(v0))
% 2.58/1.18 | (14) ! [v0] : ! [v1] : ( ~ element(v0, v1) | in(v0, v1) | empty(v1))
% 2.58/1.18 | (15) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1))
% 2.58/1.18 | (16) one_to_one(all_0_3_3)
% 2.58/1.18 | (17) empty(empty_set)
% 2.58/1.18 | (18) epsilon_connected(all_0_0_0)
% 2.58/1.18 | (19) epsilon_transitive(empty_set)
% 2.58/1.18 | (20) relation_empty_yielding(all_0_8_8)
% 2.58/1.18 | (21) ! [v0] : (v0 = empty_set | ~ empty(v0))
% 2.58/1.18 | (22) ? [v0] : ? [v1] : element(v1, v0)
% 2.58/1.18 | (23) empty(all_0_9_9)
% 2.58/1.18 | (24) epsilon_connected(empty_set)
% 2.58/1.18 | (25) ~ empty(all_0_10_10)
% 2.58/1.18 | (26) ~ empty(all_0_7_7)
% 2.58/1.18 | (27) function(all_0_5_5)
% 2.58/1.18 | (28) ! [v0] : ( ~ ordinal(v0) | epsilon_transitive(v0))
% 2.58/1.18 | (29) empty(all_0_2_2)
% 2.58/1.19 | (30) ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0))
% 2.58/1.19 | (31) relation(all_0_4_4)
% 2.58/1.19 | (32) ! [v0] : ( ~ empty(v0) | relation(v0))
% 2.58/1.19 | (33) ! [v0] : ( ~ relation(v0) | ~ function(v0) | ~ empty(v0) | one_to_one(v0))
% 2.58/1.19 | (34) relation(all_0_2_2)
% 2.58/1.19 | (35) relation(all_0_5_5)
% 2.58/1.19 | (36) relation(all_0_6_6)
% 2.58/1.19 | (37) ! [v0] : ! [v1] : ( ~ in(v0, v1) | ~ empty(v1))
% 2.58/1.19 | (38) ! [v0] : ( ~ epsilon_connected(v0) | ~ epsilon_transitive(v0) | ordinal(v0))
% 2.58/1.19 | (39) ~ ordinal(empty_set)
% 2.58/1.19 | (40) relation(all_0_8_8)
% 2.58/1.19 | (41) ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1))
% 2.58/1.19 | (42) relation(all_0_3_3)
% 2.58/1.19 | (43) empty(all_0_6_6)
% 2.58/1.19 | (44) relation_empty_yielding(all_0_4_4)
% 2.58/1.19 | (45) ! [v0] : ( ~ ordinal(v0) | epsilon_connected(v0))
% 2.58/1.19 |
% 2.58/1.19 | Instantiating formula (38) with empty_set and discharging atoms epsilon_connected(empty_set), epsilon_transitive(empty_set), ~ ordinal(empty_set), yields:
% 2.58/1.19 | (46) $false
% 2.58/1.19 |
% 2.58/1.19 |-The branch is then unsatisfiable
% 2.58/1.19 % SZS output end Proof for theBenchmark
% 2.58/1.19
% 2.58/1.19 745ms
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