TSTP Solution File: SYN372+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SYN372+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n009.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 : Thu Jul 21 05:01:53 EDT 2022
% Result : Theorem 1.83s 1.09s
% Output : Proof 2.28s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN372+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n009.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 : Mon Jul 11 19:40:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.58 ____ _
% 0.53/0.58 ___ / __ \_____(_)___ ________ __________
% 0.53/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.58
% 0.53/0.58 A Theorem Prover for First-Order Logic
% 0.53/0.58 (ePrincess v.1.0)
% 0.53/0.58
% 0.53/0.58 (c) Philipp Rümmer, 2009-2015
% 0.53/0.58 (c) Peter Backeman, 2014-2015
% 0.53/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.58 Bug reports to peter@backeman.se
% 0.53/0.58
% 0.53/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.58
% 0.53/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.53/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.21/0.87 Prover 0: Preprocessing ...
% 1.21/0.90 Prover 0: Warning: ignoring some quantifiers
% 1.21/0.92 Prover 0: Constructing countermodel ...
% 1.43/1.00 Prover 0: gave up
% 1.43/1.00 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.43/1.02 Prover 1: Preprocessing ...
% 1.68/1.06 Prover 1: Constructing countermodel ...
% 1.83/1.09 Prover 1: proved (86ms)
% 1.83/1.09
% 1.83/1.09 No countermodel exists, formula is valid
% 1.83/1.09 % SZS status Theorem for theBenchmark
% 1.83/1.09
% 1.83/1.09 Generating proof ... found it (size 10)
% 2.11/1.20
% 2.11/1.20 % SZS output start Proof for theBenchmark
% 2.11/1.21 Assumed formulas after preprocessing and simplification:
% 2.11/1.21 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (big_q(v0) = v1 & big_p(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (big_q(v6) = v5) | ~ (big_q(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (big_p(v6) = v5) | ~ (big_p(v6) = v4)) & ! [v4] : ! [v5] : (v5 = 0 | ~ (big_p(v4) = v5)) & ! [v4] : ~ (big_q(v4) = 0) & ( ~ (v3 = 0) | v1 = 0))
% 2.23/1.24 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 2.23/1.24 | (1) big_q(all_0_3_3) = all_0_2_2 & big_p(all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_q(v2) = v1) | ~ (big_q(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (big_p(v0) = v1)) & ! [v0] : ~ (big_q(v0) = 0) & ( ~ (all_0_0_0 = 0) | all_0_2_2 = 0)
% 2.23/1.25 |
% 2.23/1.25 | Applying alpha-rule on (1) yields:
% 2.23/1.25 | (2) ~ (all_0_0_0 = 0) | all_0_2_2 = 0
% 2.23/1.25 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_q(v2) = v1) | ~ (big_q(v2) = v0))
% 2.23/1.25 | (4) big_q(all_0_3_3) = all_0_2_2
% 2.23/1.25 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0))
% 2.23/1.25 | (6) ! [v0] : ! [v1] : (v1 = 0 | ~ (big_p(v0) = v1))
% 2.23/1.25 | (7) ! [v0] : ~ (big_q(v0) = 0)
% 2.23/1.25 | (8) big_p(all_0_1_1) = all_0_0_0
% 2.23/1.25 |
% 2.23/1.25 | Instantiating formula (7) with all_0_3_3 yields:
% 2.23/1.25 | (9) ~ (big_q(all_0_3_3) = 0)
% 2.23/1.25 |
% 2.23/1.25 | Instantiating formula (6) with all_0_0_0, all_0_1_1 and discharging atoms big_p(all_0_1_1) = all_0_0_0, yields:
% 2.23/1.25 | (10) all_0_0_0 = 0
% 2.23/1.25 |
% 2.23/1.25 +-Applying beta-rule and splitting (2), into two cases.
% 2.23/1.25 |-Branch one:
% 2.23/1.25 | (11) ~ (all_0_0_0 = 0)
% 2.23/1.25 |
% 2.23/1.25 | Equations (10) can reduce 11 to:
% 2.23/1.25 | (12) $false
% 2.23/1.25 |
% 2.28/1.25 |-The branch is then unsatisfiable
% 2.28/1.25 |-Branch two:
% 2.28/1.25 | (10) all_0_0_0 = 0
% 2.28/1.25 | (14) all_0_2_2 = 0
% 2.28/1.25 |
% 2.28/1.25 | From (14) and (4) follows:
% 2.28/1.25 | (15) big_q(all_0_3_3) = 0
% 2.28/1.25 |
% 2.28/1.25 | Using (15) and (9) yields:
% 2.28/1.25 | (16) $false
% 2.28/1.25 |
% 2.28/1.25 |-The branch is then unsatisfiable
% 2.28/1.25 % SZS output end Proof for theBenchmark
% 2.28/1.25
% 2.28/1.25 666ms
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