TSTP Solution File: SYN362+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN362+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 05:01:48 EDT 2022
% Result : Theorem 3.48s 1.62s
% Output : Proof 3.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN362+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.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 22:36:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.54/0.59 ____ _
% 0.54/0.59 ___ / __ \_____(_)___ ________ __________
% 0.54/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.59
% 0.54/0.59 A Theorem Prover for First-Order Logic
% 0.54/0.59 (ePrincess v.1.0)
% 0.54/0.59
% 0.54/0.59 (c) Philipp Rümmer, 2009-2015
% 0.54/0.59 (c) Peter Backeman, 2014-2015
% 0.54/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.59 Bug reports to peter@backeman.se
% 0.54/0.59
% 0.54/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.59
% 0.54/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.21/0.88 Prover 0: Preprocessing ...
% 1.28/0.93 Prover 0: Warning: ignoring some quantifiers
% 1.39/0.94 Prover 0: Constructing countermodel ...
% 1.51/1.04 Prover 0: gave up
% 1.51/1.04 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.51/1.06 Prover 1: Preprocessing ...
% 1.79/1.10 Prover 1: Warning: ignoring some quantifiers
% 1.79/1.10 Prover 1: Constructing countermodel ...
% 1.79/1.13 Prover 1: gave up
% 1.79/1.13 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.79/1.14 Prover 2: Preprocessing ...
% 1.79/1.16 Prover 2: Warning: ignoring some quantifiers
% 1.79/1.17 Prover 2: Constructing countermodel ...
% 2.29/1.22 Prover 2: gave up
% 2.29/1.22 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.29/1.23 Prover 3: Preprocessing ...
% 2.37/1.24 Prover 3: Warning: ignoring some quantifiers
% 2.37/1.24 Prover 3: Constructing countermodel ...
% 2.37/1.25 Prover 3: gave up
% 2.37/1.25 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.37/1.25 Prover 4: Preprocessing ...
% 2.37/1.28 Prover 4: Warning: ignoring some quantifiers
% 2.37/1.28 Prover 4: Constructing countermodel ...
% 2.67/1.34 Prover 4: gave up
% 2.67/1.34 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.67/1.34 Prover 5: Preprocessing ...
% 2.67/1.35 Prover 5: Warning: ignoring some quantifiers
% 2.67/1.36 Prover 5: Constructing countermodel ...
% 2.67/1.37 Prover 5: gave up
% 2.67/1.37 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.67/1.38 Prover 6: Preprocessing ...
% 2.90/1.39 Prover 6: Warning: ignoring some quantifiers
% 2.90/1.39 Prover 6: Constructing countermodel ...
% 2.90/1.42 Prover 6: gave up
% 2.90/1.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.90/1.43 Prover 7: Preprocessing ...
% 2.90/1.43 Prover 7: Proving ...
% 3.48/1.62 Prover 7: proved (199ms)
% 3.48/1.62
% 3.48/1.62 % SZS status Theorem for theBenchmark
% 3.48/1.62
% 3.48/1.62 Generating proof ... found it (size 15)
% 3.62/1.77
% 3.62/1.77 % SZS output start Proof for theBenchmark
% 3.62/1.77 Assumed formulas after preprocessing and simplification:
% 3.62/1.77 | (0) ? [v0] : ! [v1] : ( ~ big_p(v1) | ~ big_r(v0, v1)) & ! [v0] : big_p(v0) & ! [v0] : ? [v1] : big_r(v0, v1)
% 3.62/1.78 | Applying alpha-rule on (0) yields:
% 3.62/1.78 | (1) ? [v0] : ! [v1] : ( ~ big_p(v1) | ~ big_r(v0, v1))
% 3.62/1.78 | (2) ! [v0] : big_p(v0)
% 3.62/1.78 | (3) ! [v0] : ? [v1] : big_r(v0, v1)
% 3.62/1.78 |
% 3.62/1.78 | Instantiating (1) with all_0_0_0 yields:
% 3.62/1.78 | (4) ! [v0] : ( ~ big_p(v0) | ~ big_r(all_0_0_0, v0))
% 3.62/1.78 |
% 3.62/1.78 | Introducing new symbol ex_4_0_1 defined by:
% 3.62/1.78 | (5) ex_4_0_1 = all_0_0_0
% 3.62/1.78 |
% 3.62/1.78 | Instantiating formula (3) with ex_4_0_1 yields:
% 3.62/1.78 | (6) ? [v0] : big_r(ex_4_0_1, v0)
% 3.62/1.78 |
% 3.62/1.78 | Instantiating (6) with all_5_0_2 yields:
% 3.62/1.78 | (7) big_r(ex_4_0_1, all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 | Introducing new symbol ex_13_0_3 defined by:
% 3.62/1.78 | (8) ex_13_0_3 = all_5_0_2
% 3.62/1.78 |
% 3.62/1.78 | Instantiating formula (2) with ex_13_0_3 yields:
% 3.62/1.78 | (9) big_p(ex_13_0_3)
% 3.62/1.78 |
% 3.62/1.78 | Instantiating formula (4) with all_5_0_2 yields:
% 3.62/1.78 | (10) ~ big_p(all_5_0_2) | ~ big_r(all_0_0_0, all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 +-Applying beta-rule and splitting (10), into two cases.
% 3.62/1.78 |-Branch one:
% 3.62/1.78 | (11) ~ big_p(all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 | From (8) and (9) follows:
% 3.62/1.78 | (12) big_p(all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 | Using (12) and (11) yields:
% 3.62/1.78 | (13) $false
% 3.62/1.78 |
% 3.62/1.78 |-The branch is then unsatisfiable
% 3.62/1.78 |-Branch two:
% 3.62/1.78 | (14) ~ big_r(all_0_0_0, all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 | From (5) and (7) follows:
% 3.62/1.78 | (15) big_r(all_0_0_0, all_5_0_2)
% 3.62/1.78 |
% 3.62/1.78 | Using (15) and (14) yields:
% 3.62/1.78 | (13) $false
% 3.62/1.78 |
% 3.62/1.78 |-The branch is then unsatisfiable
% 3.62/1.78 % SZS output end Proof for theBenchmark
% 3.62/1.78
% 3.62/1.78 1185ms
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