TSTP Solution File: SET044+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 00:16:37 EDT 2022
% Result : Theorem 4.66s 2.03s
% Output : Proof 7.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 05:32:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.51/0.61 ____ _
% 0.51/0.61 ___ / __ \_____(_)___ ________ __________
% 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.61
% 0.51/0.61 A Theorem Prover for First-Order Logic
% 0.51/0.62 (ePrincess v.1.0)
% 0.51/0.62
% 0.51/0.62 (c) Philipp Rümmer, 2009-2015
% 0.51/0.62 (c) Peter Backeman, 2014-2015
% 0.51/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.62 Bug reports to peter@backeman.se
% 0.51/0.62
% 0.51/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.62
% 0.51/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.92 Prover 0: Preprocessing ...
% 1.43/0.97 Prover 0: Warning: ignoring some quantifiers
% 1.43/0.99 Prover 0: Constructing countermodel ...
% 1.74/1.13 Prover 0: gave up
% 1.74/1.13 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.00/1.15 Prover 1: Preprocessing ...
% 2.11/1.19 Prover 1: Warning: ignoring some quantifiers
% 2.11/1.19 Prover 1: Constructing countermodel ...
% 2.11/1.20 Prover 1: gave up
% 2.11/1.20 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.11/1.21 Prover 2: Preprocessing ...
% 2.41/1.25 Prover 2: Warning: ignoring some quantifiers
% 2.41/1.25 Prover 2: Constructing countermodel ...
% 2.41/1.27 Prover 2: gave up
% 2.41/1.27 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.41/1.28 Prover 3: Preprocessing ...
% 2.41/1.29 Prover 3: Warning: ignoring some quantifiers
% 2.41/1.29 Prover 3: Constructing countermodel ...
% 2.66/1.33 Prover 3: gave up
% 2.66/1.33 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.66/1.34 Prover 4: Preprocessing ...
% 2.80/1.38 Prover 4: Warning: ignoring some quantifiers
% 2.80/1.38 Prover 4: Constructing countermodel ...
% 3.39/1.62 Prover 4: gave up
% 3.39/1.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.39/1.62 Prover 5: Preprocessing ...
% 3.39/1.64 Prover 5: Warning: ignoring some quantifiers
% 3.77/1.64 Prover 5: Constructing countermodel ...
% 3.77/1.65 Prover 5: gave up
% 3.77/1.65 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.77/1.65 Prover 6: Preprocessing ...
% 3.77/1.67 Prover 6: Warning: ignoring some quantifiers
% 3.77/1.67 Prover 6: Constructing countermodel ...
% 3.77/1.68 Prover 6: gave up
% 3.77/1.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.77/1.68 Prover 7: Preprocessing ...
% 3.77/1.69 Prover 7: Proving ...
% 4.66/2.03 Prover 7: proved (350ms)
% 4.66/2.03
% 4.66/2.03 % SZS status Theorem for theBenchmark
% 4.66/2.03
% 4.66/2.03 Generating proof ... found it (size 29)
% 7.11/2.88
% 7.11/2.88 % SZS output start Proof for theBenchmark
% 7.11/2.88 Assumed formulas after preprocessing and simplification:
% 7.11/2.88 | (0) ! [v0] : ? [v1] : ( ! [v2] : ( ~ element(v2, v1) | ~ element(v2, v0)) & ! [v2] : (element(v2, v1) | element(v2, v0))) & ? [v0] : ( ! [v1] : ( ~ element(v1, v1) | element(v1, v0)) & ! [v1] : ( ~ element(v1, v0) | element(v1, v1)))
% 7.11/2.88 | Applying alpha-rule on (0) yields:
% 7.11/2.88 | (1) ! [v0] : ? [v1] : ( ! [v2] : ( ~ element(v2, v1) | ~ element(v2, v0)) & ! [v2] : (element(v2, v1) | element(v2, v0)))
% 7.11/2.88 | (2) ? [v0] : ( ! [v1] : ( ~ element(v1, v1) | element(v1, v0)) & ! [v1] : ( ~ element(v1, v0) | element(v1, v1)))
% 7.11/2.88 |
% 7.11/2.88 | Instantiating (2) with all_0_0_0 yields:
% 7.11/2.88 | (3) ! [v0] : ( ~ element(v0, v0) | element(v0, all_0_0_0)) & ! [v0] : ( ~ element(v0, all_0_0_0) | element(v0, v0))
% 7.11/2.88 |
% 7.11/2.88 | Applying alpha-rule on (3) yields:
% 7.11/2.88 | (4) ! [v0] : ( ~ element(v0, v0) | element(v0, all_0_0_0))
% 7.11/2.88 | (5) ! [v0] : ( ~ element(v0, all_0_0_0) | element(v0, v0))
% 7.11/2.88 |
% 7.11/2.88 | Introducing new symbol ex_4_0_1 defined by:
% 7.11/2.88 | (6) ex_4_0_1 = all_0_0_0
% 7.11/2.88 |
% 7.11/2.88 | Instantiating formula (1) with ex_4_0_1 yields:
% 7.11/2.88 | (7) ? [v0] : ( ! [v1] : ( ~ element(v1, v0) | ~ element(v1, ex_4_0_1)) & ! [v1] : (element(v1, v0) | element(v1, ex_4_0_1)))
% 7.11/2.88 |
% 7.11/2.88 | Instantiating (7) with all_5_0_2 yields:
% 7.11/2.88 | (8) ! [v0] : ( ~ element(v0, all_5_0_2) | ~ element(v0, ex_4_0_1)) & ! [v0] : (element(v0, all_5_0_2) | element(v0, ex_4_0_1))
% 7.11/2.88 |
% 7.11/2.88 | Applying alpha-rule on (8) yields:
% 7.11/2.88 | (9) ! [v0] : ( ~ element(v0, all_5_0_2) | ~ element(v0, ex_4_0_1))
% 7.11/2.88 | (10) ! [v0] : (element(v0, all_5_0_2) | element(v0, ex_4_0_1))
% 7.11/2.88 |
% 7.11/2.88 | Introducing new symbol ex_14_0_5 defined by:
% 7.11/2.88 | (11) ex_14_0_5 = all_5_0_2
% 7.11/2.88 |
% 7.11/2.88 | Instantiating formula (10) with ex_14_0_5 yields:
% 7.11/2.88 | (12) element(ex_14_0_5, all_5_0_2) | element(ex_14_0_5, ex_4_0_1)
% 7.11/2.88 |
% 7.11/2.88 +-Applying beta-rule and splitting (12), into two cases.
% 7.11/2.88 |-Branch one:
% 7.11/2.88 | (13) element(ex_14_0_5, all_5_0_2)
% 7.11/2.88 |
% 7.11/2.88 | Instantiating formula (9) with ex_14_0_5 and discharging atoms element(ex_14_0_5, all_5_0_2), yields:
% 7.11/2.89 | (14) ~ element(ex_14_0_5, ex_4_0_1)
% 7.11/2.89 |
% 7.11/2.89 | Instantiating formula (4) with all_5_0_2 yields:
% 7.11/2.89 | (15) ~ element(all_5_0_2, all_5_0_2) | element(all_5_0_2, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 +-Applying beta-rule and splitting (15), into two cases.
% 7.11/2.89 |-Branch one:
% 7.11/2.89 | (16) ~ element(all_5_0_2, all_5_0_2)
% 7.11/2.89 |
% 7.11/2.89 | From (11) and (13) follows:
% 7.11/2.89 | (17) element(all_5_0_2, all_5_0_2)
% 7.11/2.89 |
% 7.11/2.89 | Using (17) and (16) yields:
% 7.11/2.89 | (18) $false
% 7.11/2.89 |
% 7.11/2.89 |-The branch is then unsatisfiable
% 7.11/2.89 |-Branch two:
% 7.11/2.89 | (19) element(all_5_0_2, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 | From (11)(6) and (14) follows:
% 7.11/2.89 | (20) ~ element(all_5_0_2, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 | Using (19) and (20) yields:
% 7.11/2.89 | (18) $false
% 7.11/2.89 |
% 7.11/2.89 |-The branch is then unsatisfiable
% 7.11/2.89 |-Branch two:
% 7.11/2.89 | (22) ~ element(ex_14_0_5, all_5_0_2)
% 7.11/2.89 | (23) element(ex_14_0_5, ex_4_0_1)
% 7.11/2.89 |
% 7.11/2.89 | Instantiating formula (5) with ex_14_0_5 yields:
% 7.11/2.89 | (24) ~ element(ex_14_0_5, all_0_0_0) | element(ex_14_0_5, ex_14_0_5)
% 7.11/2.89 |
% 7.11/2.89 +-Applying beta-rule and splitting (24), into two cases.
% 7.11/2.89 |-Branch one:
% 7.11/2.89 | (25) ~ element(ex_14_0_5, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 | From (11)(6) and (23) follows:
% 7.11/2.89 | (19) element(all_5_0_2, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 | From (11) and (25) follows:
% 7.11/2.89 | (20) ~ element(all_5_0_2, all_0_0_0)
% 7.11/2.89 |
% 7.11/2.89 | Using (19) and (20) yields:
% 7.11/2.89 | (18) $false
% 7.11/2.89 |
% 7.11/2.89 |-The branch is then unsatisfiable
% 7.11/2.89 |-Branch two:
% 7.11/2.89 | (29) element(ex_14_0_5, ex_14_0_5)
% 7.11/2.89 |
% 7.11/2.89 | From (11)(11) and (29) follows:
% 7.11/2.89 | (17) element(all_5_0_2, all_5_0_2)
% 7.11/2.89 |
% 7.11/2.89 | From (11) and (22) follows:
% 7.11/2.89 | (16) ~ element(all_5_0_2, all_5_0_2)
% 7.11/2.89 |
% 7.11/2.89 | Using (17) and (16) yields:
% 7.11/2.89 | (18) $false
% 7.11/2.89 |
% 7.11/2.89 |-The branch is then unsatisfiable
% 7.11/2.89 % SZS output end Proof for theBenchmark
% 7.11/2.89
% 7.11/2.89 2259ms
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