TSTP Solution File: SEU303+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n014.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 08:48:39 EDT 2022
% Result : Theorem 2.06s 1.20s
% Output : Proof 2.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n014.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 : Sat Jun 18 19:24:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.66/0.63 ____ _
% 0.66/0.63 ___ / __ \_____(_)___ ________ __________
% 0.66/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.63
% 0.66/0.63 A Theorem Prover for First-Order Logic
% 0.66/0.64 (ePrincess v.1.0)
% 0.66/0.64
% 0.66/0.64 (c) Philipp Rümmer, 2009-2015
% 0.66/0.64 (c) Peter Backeman, 2014-2015
% 0.66/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.64 Bug reports to peter@backeman.se
% 0.66/0.64
% 0.66/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.64
% 0.66/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.81/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.92 Prover 0: Preprocessing ...
% 1.59/1.05 Prover 0: Constructing countermodel ...
% 2.06/1.19 Prover 0: proved (509ms)
% 2.06/1.20
% 2.06/1.20 No countermodel exists, formula is valid
% 2.06/1.20 % SZS status Theorem for theBenchmark
% 2.06/1.20
% 2.06/1.20 Generating proof ... found it (size 9)
% 2.43/1.32
% 2.43/1.32 % SZS output start Proof for theBenchmark
% 2.43/1.32 Assumed formulas after preprocessing and simplification:
% 2.43/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_dom(v0) = v1 & relation_rng(v0) = v2 & finite(v1) & function(v3) & function(v0) & relation(v3) & relation(v0) & ~ finite(v2) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (relation_image(v7, v6) = v5) | ~ (relation_image(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (relation_dom(v6) = v5) | ~ (relation_dom(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (relation_rng(v6) = v5) | ~ (relation_rng(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_dom(v4) = v5) | ~ (relation_image(v4, v5) = v6) | ~ relation(v4) | relation_rng(v4) = v6) & ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_image(v5, v4) = v6) | ~ finite(v4) | ~ function(v5) | ~ relation(v5) | finite(v6)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (relation_image(v4, v5) = v6) | ~ finite(v5) | ~ function(v4) | ~ relation(v4) | finite(v6)) & ! [v4] : ! [v5] : ( ~ (relation_rng(v4) = v5) | ~ relation(v4) | ? [v6] : (relation_dom(v4) = v6 & relation_image(v4, v6) = v5)))
% 2.61/1.35 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 2.61/1.35 | (1) relation_dom(all_0_3_3) = all_0_2_2 & relation_rng(all_0_3_3) = all_0_1_1 & finite(all_0_2_2) & function(all_0_0_0) & function(all_0_3_3) & relation(all_0_0_0) & relation(all_0_3_3) & ~ finite(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (relation_image(v0, v1) = v2) | ~ relation(v0) | relation_rng(v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v1, v0) = v2) | ~ finite(v0) | ~ function(v1) | ~ relation(v1) | finite(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v0, v1) = v2) | ~ finite(v1) | ~ function(v0) | ~ relation(v0) | finite(v2)) & ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ~ relation(v0) | ? [v2] : (relation_dom(v0) = v2 & relation_image(v0, v2) = v1))
% 2.61/1.36 |
% 2.61/1.36 | Applying alpha-rule on (1) yields:
% 2.61/1.36 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 2.61/1.36 | (3) relation_dom(all_0_3_3) = all_0_2_2
% 2.61/1.36 | (4) ! [v0] : ! [v1] : ( ~ (relation_rng(v0) = v1) | ~ relation(v0) | ? [v2] : (relation_dom(v0) = v2 & relation_image(v0, v2) = v1))
% 2.61/1.36 | (5) function(all_0_0_0)
% 2.61/1.36 | (6) relation(all_0_0_0)
% 2.61/1.36 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v0, v1) = v2) | ~ finite(v1) | ~ function(v0) | ~ relation(v0) | finite(v2))
% 2.61/1.36 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0))
% 2.61/1.36 | (9) relation(all_0_3_3)
% 2.61/1.36 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (relation_image(v0, v1) = v2) | ~ relation(v0) | relation_rng(v0) = v2)
% 2.61/1.36 | (11) finite(all_0_2_2)
% 2.61/1.36 | (12) ~ finite(all_0_1_1)
% 2.61/1.36 | (13) relation_rng(all_0_3_3) = all_0_1_1
% 2.61/1.36 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0))
% 2.61/1.37 | (15) function(all_0_3_3)
% 2.61/1.37 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_image(v1, v0) = v2) | ~ finite(v0) | ~ function(v1) | ~ relation(v1) | finite(v2))
% 2.61/1.37 |
% 2.61/1.37 | Instantiating formula (4) with all_0_1_1, all_0_3_3 and discharging atoms relation_rng(all_0_3_3) = all_0_1_1, relation(all_0_3_3), yields:
% 2.61/1.37 | (17) ? [v0] : (relation_dom(all_0_3_3) = v0 & relation_image(all_0_3_3, v0) = all_0_1_1)
% 2.61/1.37 |
% 2.61/1.37 | Instantiating (17) with all_8_0_4 yields:
% 2.61/1.37 | (18) relation_dom(all_0_3_3) = all_8_0_4 & relation_image(all_0_3_3, all_8_0_4) = all_0_1_1
% 2.61/1.37 |
% 2.61/1.37 | Applying alpha-rule on (18) yields:
% 2.61/1.37 | (19) relation_dom(all_0_3_3) = all_8_0_4
% 2.61/1.37 | (20) relation_image(all_0_3_3, all_8_0_4) = all_0_1_1
% 2.61/1.37 |
% 2.61/1.37 | Instantiating formula (2) with all_0_3_3, all_8_0_4, all_0_2_2 and discharging atoms relation_dom(all_0_3_3) = all_8_0_4, relation_dom(all_0_3_3) = all_0_2_2, yields:
% 2.61/1.37 | (21) all_8_0_4 = all_0_2_2
% 2.68/1.37 |
% 2.68/1.37 | From (21) and (20) follows:
% 2.68/1.37 | (22) relation_image(all_0_3_3, all_0_2_2) = all_0_1_1
% 2.68/1.37 |
% 2.68/1.37 | Instantiating formula (16) with all_0_1_1, all_0_3_3, all_0_2_2 and discharging atoms relation_image(all_0_3_3, all_0_2_2) = all_0_1_1, finite(all_0_2_2), function(all_0_3_3), relation(all_0_3_3), ~ finite(all_0_1_1), yields:
% 2.68/1.37 | (23) $false
% 2.68/1.37 |
% 2.68/1.37 |-The branch is then unsatisfiable
% 2.68/1.37 % SZS output end Proof for theBenchmark
% 2.68/1.37
% 2.68/1.37 724ms
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