TSTP Solution File: LCL678+1.001 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 09:38:21 EDT 2022
% Result : Theorem 6.32s 2.26s
% Output : Proof 6.98s
% 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 : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 3 06:57:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.34/0.89 Prover 0: Preprocessing ...
% 1.45/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.50/0.96 Prover 0: Constructing countermodel ...
% 1.62/1.06 Prover 0: gave up
% 1.62/1.06 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.86/1.09 Prover 1: Preprocessing ...
% 2.18/1.18 Prover 1: Constructing countermodel ...
% 2.26/1.19 Prover 1: gave up
% 2.26/1.19 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.26/1.20 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 ...
% 2.59/1.31 Prover 3: gave up
% 2.59/1.31 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.59/1.32 Prover 4: Preprocessing ...
% 2.79/1.37 Prover 4: Warning: ignoring some quantifiers
% 2.79/1.37 Prover 4: Constructing countermodel ...
% 5.63/2.07 Prover 4: gave up
% 5.63/2.07 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 5.63/2.08 Prover 5: Preprocessing ...
% 5.71/2.10 Prover 5: Constructing countermodel ...
% 5.71/2.10 Prover 5: gave up
% 5.71/2.10 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 5.71/2.11 Prover 6: Preprocessing ...
% 5.84/2.12 Prover 6: Warning: ignoring some quantifiers
% 5.84/2.13 Prover 6: Constructing countermodel ...
% 5.84/2.13 Prover 6: gave up
% 5.84/2.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 5.84/2.14 Prover 7: Preprocessing ...
% 5.96/2.14 Prover 7: Proving ...
% 6.32/2.26 Prover 7: proved (131ms)
% 6.32/2.26
% 6.32/2.26 % SZS status Theorem for theBenchmark
% 6.32/2.26
% 6.32/2.26 Generating proof ... found it (size 15)
% 6.98/2.41
% 6.98/2.41 % SZS output start Proof for theBenchmark
% 6.98/2.41 Assumed formulas after preprocessing and simplification:
% 6.98/2.41 | (0) ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | r1(v0, v2)) & ? [v0] : ! [v1] : ( ~ r1(v0, v1) | ? [v2] : (r1(v1, v2) & ! [v3] : ( ~ r1(v2, v3) | p1(v3)) & ? [v3] : (r1(v2, v3) & ~ p1(v3)))) & ! [v0] : r1(v0, v0)
% 6.98/2.41 | Applying alpha-rule on (0) yields:
% 6.98/2.41 | (1) ! [v0] : ! [v1] : ! [v2] : ( ~ r1(v1, v2) | ~ r1(v0, v1) | r1(v0, v2))
% 6.98/2.41 | (2) ? [v0] : ! [v1] : ( ~ r1(v0, v1) | ? [v2] : (r1(v1, v2) & ! [v3] : ( ~ r1(v2, v3) | p1(v3)) & ? [v3] : (r1(v2, v3) & ~ p1(v3))))
% 6.98/2.41 | (3) ! [v0] : r1(v0, v0)
% 6.98/2.41 |
% 6.98/2.41 | Instantiating (2) with all_1_0_0 yields:
% 6.98/2.41 | (4) ! [v0] : ( ~ r1(all_1_0_0, v0) | ? [v1] : (r1(v0, v1) & ! [v2] : ( ~ r1(v1, v2) | p1(v2)) & ? [v2] : (r1(v1, v2) & ~ p1(v2))))
% 6.98/2.41 |
% 6.98/2.41 | Introducing new symbol ex_5_0_1 defined by:
% 6.98/2.41 | (5) ex_5_0_1 = all_1_0_0
% 6.98/2.41 |
% 6.98/2.41 | Instantiating formula (3) with ex_5_0_1 yields:
% 6.98/2.41 | (6) r1(ex_5_0_1, ex_5_0_1)
% 6.98/2.41 |
% 6.98/2.41 | Instantiating formula (4) with all_1_0_0 yields:
% 6.98/2.41 | (7) ~ r1(all_1_0_0, all_1_0_0) | ? [v0] : (r1(all_1_0_0, v0) & ! [v1] : ( ~ r1(v0, v1) | p1(v1)) & ? [v1] : (r1(v0, v1) & ~ p1(v1)))
% 6.98/2.42 |
% 6.98/2.42 +-Applying beta-rule and splitting (7), into two cases.
% 6.98/2.42 |-Branch one:
% 6.98/2.42 | (8) ~ r1(all_1_0_0, all_1_0_0)
% 6.98/2.42 |
% 6.98/2.42 | From (5)(5) and (6) follows:
% 6.98/2.42 | (9) r1(all_1_0_0, all_1_0_0)
% 6.98/2.42 |
% 6.98/2.42 | Using (9) and (8) yields:
% 6.98/2.42 | (10) $false
% 6.98/2.42 |
% 6.98/2.42 |-The branch is then unsatisfiable
% 6.98/2.42 |-Branch two:
% 6.98/2.42 | (11) ? [v0] : (r1(all_1_0_0, v0) & ! [v1] : ( ~ r1(v0, v1) | p1(v1)) & ? [v1] : (r1(v0, v1) & ~ p1(v1)))
% 6.98/2.42 |
% 6.98/2.42 | Instantiating (11) with all_13_0_2 yields:
% 6.98/2.42 | (12) r1(all_1_0_0, all_13_0_2) & ! [v0] : ( ~ r1(all_13_0_2, v0) | p1(v0)) & ? [v0] : (r1(all_13_0_2, v0) & ~ p1(v0))
% 6.98/2.42 |
% 6.98/2.42 | Applying alpha-rule on (12) yields:
% 6.98/2.42 | (13) r1(all_1_0_0, all_13_0_2)
% 6.98/2.42 | (14) ! [v0] : ( ~ r1(all_13_0_2, v0) | p1(v0))
% 6.98/2.42 | (15) ? [v0] : (r1(all_13_0_2, v0) & ~ p1(v0))
% 6.98/2.42 |
% 6.98/2.42 | Instantiating (15) with all_16_0_3 yields:
% 6.98/2.42 | (16) r1(all_13_0_2, all_16_0_3) & ~ p1(all_16_0_3)
% 6.98/2.42 |
% 6.98/2.42 | Applying alpha-rule on (16) yields:
% 6.98/2.42 | (17) r1(all_13_0_2, all_16_0_3)
% 6.98/2.42 | (18) ~ p1(all_16_0_3)
% 6.98/2.42 |
% 6.98/2.42 | Instantiating formula (14) with all_16_0_3 and discharging atoms r1(all_13_0_2, all_16_0_3), ~ p1(all_16_0_3), yields:
% 6.98/2.42 | (10) $false
% 6.98/2.42 |
% 6.98/2.42 |-The branch is then unsatisfiable
% 6.98/2.42 % SZS output end Proof for theBenchmark
% 6.98/2.42
% 6.98/2.42 1833ms
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