TSTP Solution File: SYN360+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 05:01:47 EDT 2022
% Result : Theorem 3.53s 1.66s
% Output : Proof 4.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 16:45:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.60 ____ _
% 0.58/0.60 ___ / __ \_____(_)___ ________ __________
% 0.58/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.60
% 0.58/0.60 A Theorem Prover for First-Order Logic
% 0.58/0.60 (ePrincess v.1.0)
% 0.58/0.60
% 0.58/0.60 (c) Philipp Rümmer, 2009-2015
% 0.58/0.60 (c) Peter Backeman, 2014-2015
% 0.58/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.60 Bug reports to peter@backeman.se
% 0.58/0.60
% 0.58/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.60
% 0.58/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.89 Prover 0: Preprocessing ...
% 1.35/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.38/0.95 Prover 0: Constructing countermodel ...
% 1.50/1.05 Prover 0: gave up
% 1.50/1.05 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.50/1.07 Prover 1: Preprocessing ...
% 1.77/1.11 Prover 1: Warning: ignoring some quantifiers
% 1.77/1.11 Prover 1: Constructing countermodel ...
% 1.77/1.15 Prover 1: gave up
% 1.77/1.15 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.77/1.16 Prover 2: Preprocessing ...
% 2.04/1.18 Prover 2: Warning: ignoring some quantifiers
% 2.04/1.18 Prover 2: Constructing countermodel ...
% 2.17/1.21 Prover 2: gave up
% 2.17/1.21 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.17/1.22 Prover 3: Preprocessing ...
% 2.17/1.22 Prover 3: Warning: ignoring some quantifiers
% 2.17/1.22 Prover 3: Constructing countermodel ...
% 2.29/1.24 Prover 3: gave up
% 2.29/1.24 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.29/1.25 Prover 4: Preprocessing ...
% 2.29/1.27 Prover 4: Warning: ignoring some quantifiers
% 2.29/1.27 Prover 4: Constructing countermodel ...
% 2.29/1.31 Prover 4: gave up
% 2.29/1.31 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.29/1.31 Prover 5: Preprocessing ...
% 2.29/1.33 Prover 5: Warning: ignoring some quantifiers
% 2.29/1.33 Prover 5: Constructing countermodel ...
% 2.62/1.35 Prover 5: gave up
% 2.62/1.35 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.62/1.35 Prover 6: Preprocessing ...
% 2.62/1.37 Prover 6: Warning: ignoring some quantifiers
% 2.62/1.37 Prover 6: Constructing countermodel ...
% 2.62/1.39 Prover 6: gave up
% 2.62/1.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.62/1.39 Prover 7: Preprocessing ...
% 2.62/1.40 Prover 7: Proving ...
% 3.53/1.66 Prover 7: proved (269ms)
% 3.53/1.66
% 3.53/1.66 % SZS status Theorem for theBenchmark
% 3.53/1.66
% 3.53/1.66 Generating proof ... found it (size 18)
% 3.97/1.87
% 3.97/1.87 % SZS output start Proof for theBenchmark
% 3.97/1.87 Assumed formulas after preprocessing and simplification:
% 3.97/1.87 | (0) ! [v0] : ( ! [v1] : big_q(v0, v1) | ! [v1] : ~ big_p(v0, v1)) & ! [v0] : ? [v1] : big_p(v0, v1) & ? [v0] : ? [v1] : ~ big_q(v1, v0)
% 3.97/1.88 | Applying alpha-rule on (0) yields:
% 3.97/1.88 | (1) ! [v0] : ( ! [v1] : big_q(v0, v1) | ! [v1] : ~ big_p(v0, v1))
% 3.97/1.88 | (2) ! [v0] : ? [v1] : big_p(v0, v1)
% 3.97/1.88 | (3) ? [v0] : ? [v1] : ~ big_q(v1, v0)
% 3.97/1.88 |
% 3.97/1.88 | Instantiating (3) with all_0_0_0, all_0_1_1 yields:
% 3.97/1.88 | (4) ~ big_q(all_0_0_0, all_0_1_1)
% 3.97/1.88 |
% 3.97/1.88 | Introducing new symbol ex_8_0_2 defined by:
% 3.97/1.88 | (5) ex_8_0_2 = all_0_0_0
% 3.97/1.88 |
% 3.97/1.88 | Instantiating formula (1) with ex_8_0_2 yields:
% 3.97/1.88 | (6) ! [v0] : big_q(ex_8_0_2, v0) | ! [v0] : ~ big_p(ex_8_0_2, v0)
% 3.97/1.88 |
% 3.97/1.88 +-Applying beta-rule and splitting (6), into two cases.
% 3.97/1.88 |-Branch one:
% 3.97/1.88 | (7) ! [v0] : big_q(ex_8_0_2, v0)
% 3.97/1.88 |
% 3.97/1.88 | Introducing new symbol ex_23_0_6 defined by:
% 3.97/1.88 | (8) ex_23_0_6 = all_0_1_1
% 3.97/1.88 |
% 3.97/1.88 | Instantiating formula (7) with ex_23_0_6 yields:
% 3.97/1.88 | (9) big_q(ex_8_0_2, ex_23_0_6)
% 4.12/1.88 |
% 4.12/1.88 | From (5)(8) and (9) follows:
% 4.12/1.88 | (10) big_q(all_0_0_0, all_0_1_1)
% 4.12/1.88 |
% 4.12/1.88 | Using (10) and (4) yields:
% 4.12/1.88 | (11) $false
% 4.12/1.88 |
% 4.12/1.88 |-The branch is then unsatisfiable
% 4.12/1.88 |-Branch two:
% 4.12/1.88 | (12) ! [v0] : ~ big_p(ex_8_0_2, v0)
% 4.12/1.88 |
% 4.12/1.88 | Introducing new symbol ex_13_0_7 defined by:
% 4.12/1.88 | (13) ex_13_0_7 = all_0_0_0
% 4.12/1.88 |
% 4.12/1.88 | Instantiating formula (2) with ex_13_0_7 yields:
% 4.12/1.88 | (14) ? [v0] : big_p(ex_13_0_7, v0)
% 4.12/1.88 |
% 4.12/1.88 | Instantiating (14) with all_14_0_8 yields:
% 4.12/1.88 | (15) big_p(ex_13_0_7, all_14_0_8)
% 4.12/1.88 |
% 4.12/1.88 | Instantiating formula (12) with all_14_0_8 yields:
% 4.12/1.88 | (16) ~ big_p(ex_8_0_2, all_14_0_8)
% 4.12/1.88 |
% 4.12/1.88 | From (13) and (15) follows:
% 4.12/1.88 | (17) big_p(all_0_0_0, all_14_0_8)
% 4.12/1.88 |
% 4.12/1.88 | From (5) and (16) follows:
% 4.12/1.88 | (18) ~ big_p(all_0_0_0, all_14_0_8)
% 4.12/1.88 |
% 4.12/1.88 | Using (17) and (18) yields:
% 4.12/1.88 | (11) $false
% 4.12/1.88 |
% 4.12/1.88 |-The branch is then unsatisfiable
% 4.12/1.88 % SZS output end Proof for theBenchmark
% 4.12/1.89
% 4.12/1.89 1277ms
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