TSTP Solution File: SYN068+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN068+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 04:59:39 EDT 2022
% Result : Theorem 1.60s 1.04s
% Output : Proof 2.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % 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 : Tue Jul 12 00:27:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.34/0.89 Prover 0: Preprocessing ...
% 1.46/0.96 Prover 0: Constructing countermodel ...
% 1.60/1.04 Prover 0: proved (406ms)
% 1.60/1.04
% 1.60/1.04 No countermodel exists, formula is valid
% 1.60/1.04 % SZS status Theorem for theBenchmark
% 1.60/1.04
% 1.60/1.04 Generating proof ... found it (size 8)
% 1.88/1.16
% 1.88/1.16 % SZS output start Proof for theBenchmark
% 1.88/1.16 Assumed formulas after preprocessing and simplification:
% 1.88/1.16 | (0) ? [v0] : (big_j(v0) & ! [v1] : ( ~ big_j(v1) | big_f(v1)) & ! [v1] : ( ~ big_g(v1) | big_h(v0, v1)) & ! [v1] : ( ~ big_f(v1) | ? [v2] : (big_h(v1, v2) & big_g(v2))) & ! [v1] : ( ~ big_f(v1) | ? [v2] : (big_g(v2) & ~ big_h(v1, v2))))
% 1.88/1.17 | Instantiating (0) with all_0_0_0 yields:
% 1.88/1.17 | (1) big_j(all_0_0_0) & ! [v0] : ( ~ big_j(v0) | big_f(v0)) & ! [v0] : ( ~ big_g(v0) | big_h(all_0_0_0, v0)) & ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_h(v0, v1) & big_g(v1))) & ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_g(v1) & ~ big_h(v0, v1)))
% 1.88/1.18 |
% 1.88/1.18 | Applying alpha-rule on (1) yields:
% 1.88/1.18 | (2) big_j(all_0_0_0)
% 1.88/1.18 | (3) ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_g(v1) & ~ big_h(v0, v1)))
% 1.88/1.18 | (4) ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_h(v0, v1) & big_g(v1)))
% 1.88/1.18 | (5) ! [v0] : ( ~ big_j(v0) | big_f(v0))
% 1.88/1.18 | (6) ! [v0] : ( ~ big_g(v0) | big_h(all_0_0_0, v0))
% 2.20/1.18 |
% 2.20/1.18 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_j(all_0_0_0), yields:
% 2.20/1.18 | (7) big_f(all_0_0_0)
% 2.20/1.18 |
% 2.20/1.18 | Instantiating formula (3) with all_0_0_0 and discharging atoms big_f(all_0_0_0), yields:
% 2.20/1.18 | (8) ? [v0] : (big_g(v0) & ~ big_h(all_0_0_0, v0))
% 2.20/1.18 |
% 2.20/1.18 | Instantiating (8) with all_14_0_1 yields:
% 2.20/1.18 | (9) big_g(all_14_0_1) & ~ big_h(all_0_0_0, all_14_0_1)
% 2.20/1.18 |
% 2.20/1.18 | Applying alpha-rule on (9) yields:
% 2.20/1.18 | (10) big_g(all_14_0_1)
% 2.20/1.18 | (11) ~ big_h(all_0_0_0, all_14_0_1)
% 2.20/1.18 |
% 2.20/1.18 | Instantiating formula (6) with all_14_0_1 and discharging atoms big_g(all_14_0_1), ~ big_h(all_0_0_0, all_14_0_1), yields:
% 2.20/1.18 | (12) $false
% 2.20/1.18 |
% 2.20/1.18 |-The branch is then unsatisfiable
% 2.20/1.18 % SZS output end Proof for theBenchmark
% 2.20/1.18
% 2.20/1.18 595ms
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