TSTP Solution File: SYN986+1.000 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 05:06:17 EDT 2022
% Result : Theorem 3.96s 1.68s
% Output : Proof 4.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 07:58:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.50/0.59 ____ _
% 0.50/0.59 ___ / __ \_____(_)___ ________ __________
% 0.50/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.59
% 0.50/0.59 A Theorem Prover for First-Order Logic
% 0.50/0.59 (ePrincess v.1.0)
% 0.50/0.59
% 0.50/0.59 (c) Philipp Rümmer, 2009-2015
% 0.50/0.59 (c) Peter Backeman, 2014-2015
% 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.59 Bug reports to peter@backeman.se
% 0.50/0.59
% 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.59
% 0.50/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.89 Prover 0: Preprocessing ...
% 1.45/0.96 Prover 0: Constructing countermodel ...
% 1.53/1.01 Prover 0: gave up
% 1.53/1.01 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.53/1.02 Prover 1: Preprocessing ...
% 1.74/1.07 Prover 1: Constructing countermodel ...
% 1.74/1.08 Prover 1: gave up
% 1.74/1.08 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.90/1.09 Prover 2: Preprocessing ...
% 1.90/1.14 Prover 2: Warning: ignoring some quantifiers
% 1.90/1.14 Prover 2: Constructing countermodel ...
% 2.26/1.18 Prover 2: gave up
% 2.26/1.18 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.26/1.19 Prover 3: Preprocessing ...
% 2.26/1.20 Prover 3: Constructing countermodel ...
% 2.26/1.20 Prover 3: gave up
% 2.26/1.21 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.26/1.21 Prover 4: Preprocessing ...
% 2.56/1.25 Prover 4: Warning: ignoring some quantifiers
% 2.56/1.25 Prover 4: Constructing countermodel ...
% 3.30/1.47 Prover 4: gave up
% 3.30/1.47 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.37/1.47 Prover 5: Preprocessing ...
% 3.37/1.49 Prover 5: Constructing countermodel ...
% 3.37/1.49 Prover 5: gave up
% 3.37/1.49 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.37/1.50 Prover 6: Preprocessing ...
% 3.37/1.52 Prover 6: Warning: ignoring some quantifiers
% 3.37/1.52 Prover 6: Constructing countermodel ...
% 3.54/1.53 Prover 6: gave up
% 3.54/1.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.54/1.54 Prover 7: Preprocessing ...
% 3.54/1.54 Prover 7: Constructing countermodel ...
% 3.54/1.54 Prover 7: gave up
% 3.54/1.54 Prover 8: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.65/1.55 Prover 8: Preprocessing ...
% 3.65/1.56 Prover 8: Constructing countermodel ...
% 3.65/1.56 Prover 8: gave up
% 3.65/1.56 Prover 9: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=completeFrugal
% 3.65/1.57 Prover 9: Preprocessing ...
% 3.65/1.58 Prover 9: Proving ...
% 3.96/1.68 Prover 9: proved (120ms)
% 3.96/1.68
% 3.96/1.68 % SZS status Theorem for theBenchmark
% 3.96/1.68
% 3.96/1.68 Generating proof ... found it (size 10)
% 4.42/1.79
% 4.42/1.79 % SZS output start Proof for theBenchmark
% 4.42/1.79 Assumed formulas after preprocessing and simplification:
% 4.42/1.80 | (0) ? [v0] : ( ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (succ(v2) = v5) | ~ r(v3, v2, v4) | ~ r(v1, v2, v3) | r(v1, v5, v4)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (succ(v3) = v2) | ~ (succ(v3) = v1)) & ! [v1] : ~ r(v0, v0, v1) & ! [v1] : ? [v2] : (succ(v1) = v2 & r(v1, v0, v2)))
% 4.50/1.82 | Instantiating (0) with all_0_0_0 yields:
% 4.50/1.82 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v1) = v4) | ~ r(v2, v1, v3) | ~ r(v0, v1, v2) | r(v0, v4, v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ~ r(all_0_0_0, all_0_0_0, v0) & ! [v0] : ? [v1] : (succ(v0) = v1 & r(v0, all_0_0_0, v1))
% 4.50/1.82 |
% 4.50/1.82 | Applying alpha-rule on (1) yields:
% 4.50/1.82 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v1) = v4) | ~ r(v2, v1, v3) | ~ r(v0, v1, v2) | r(v0, v4, v3))
% 4.50/1.82 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 4.50/1.82 | (4) ! [v0] : ~ r(all_0_0_0, all_0_0_0, v0)
% 4.50/1.83 | (5) ! [v0] : ? [v1] : (succ(v0) = v1 & r(v0, all_0_0_0, v1))
% 4.50/1.83 |
% 4.50/1.83 | Introducing new symbol ex_4_0_1 defined by:
% 4.50/1.83 | (6) ex_4_0_1 = all_0_0_0
% 4.50/1.83 |
% 4.50/1.83 | Instantiating formula (5) with ex_4_0_1 yields:
% 4.50/1.83 | (7) ? [v0] : (succ(ex_4_0_1) = v0 & r(ex_4_0_1, all_0_0_0, v0))
% 4.50/1.83 |
% 4.50/1.83 | Instantiating (7) with all_5_0_2 yields:
% 4.50/1.83 | (8) succ(ex_4_0_1) = all_5_0_2 & r(ex_4_0_1, all_0_0_0, all_5_0_2)
% 4.50/1.83 |
% 4.50/1.83 | Applying alpha-rule on (8) yields:
% 4.50/1.83 | (9) succ(ex_4_0_1) = all_5_0_2
% 4.50/1.83 | (10) r(ex_4_0_1, all_0_0_0, all_5_0_2)
% 4.50/1.83 |
% 4.50/1.83 | Instantiating formula (4) with all_5_0_2 yields:
% 4.50/1.83 | (11) ~ r(all_0_0_0, all_0_0_0, all_5_0_2)
% 4.50/1.83 |
% 4.50/1.83 | From (6) and (10) follows:
% 4.50/1.83 | (12) r(all_0_0_0, all_0_0_0, all_5_0_2)
% 4.50/1.83 |
% 4.50/1.83 | Using (12) and (11) yields:
% 4.50/1.83 | (13) $false
% 4.50/1.83 |
% 4.50/1.83 |-The branch is then unsatisfiable
% 4.50/1.83 % SZS output end Proof for theBenchmark
% 4.50/1.83
% 4.50/1.83 1231ms
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