TSTP Solution File: SYN338+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN338+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 05:01:32 EDT 2022
% Result : Theorem 3.21s 1.62s
% Output : Proof 3.90s
% 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 : SYN338+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 19:31:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.57/0.60 ____ _
% 0.57/0.60 ___ / __ \_____(_)___ ________ __________
% 0.57/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.60
% 0.57/0.60 A Theorem Prover for First-Order Logic
% 0.57/0.61 (ePrincess v.1.0)
% 0.57/0.61
% 0.57/0.61 (c) Philipp Rümmer, 2009-2015
% 0.57/0.61 (c) Peter Backeman, 2014-2015
% 0.57/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.61 Bug reports to peter@backeman.se
% 0.57/0.61
% 0.57/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.61
% 0.57/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.90 Prover 0: Preprocessing ...
% 1.34/0.93 Prover 0: Warning: ignoring some quantifiers
% 1.35/0.95 Prover 0: Constructing countermodel ...
% 1.47/1.03 Prover 0: gave up
% 1.47/1.03 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.47/1.04 Prover 1: Preprocessing ...
% 1.73/1.09 Prover 1: Warning: ignoring some quantifiers
% 1.73/1.09 Prover 1: Constructing countermodel ...
% 1.73/1.14 Prover 1: gave up
% 1.73/1.14 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.73/1.15 Prover 2: Preprocessing ...
% 1.73/1.17 Prover 2: Warning: ignoring some quantifiers
% 1.73/1.17 Prover 2: Constructing countermodel ...
% 2.12/1.20 Prover 2: gave up
% 2.12/1.20 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.23/1.21 Prover 3: Preprocessing ...
% 2.23/1.21 Prover 3: Warning: ignoring some quantifiers
% 2.23/1.21 Prover 3: Constructing countermodel ...
% 2.23/1.22 Prover 3: gave up
% 2.23/1.22 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.23/1.23 Prover 4: Preprocessing ...
% 2.36/1.25 Prover 4: Warning: ignoring some quantifiers
% 2.36/1.26 Prover 4: Constructing countermodel ...
% 2.36/1.31 Prover 4: gave up
% 2.36/1.31 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.36/1.32 Prover 5: Preprocessing ...
% 2.62/1.33 Prover 5: Warning: ignoring some quantifiers
% 2.62/1.33 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 ...
% 2.62/1.36 Prover 6: Warning: ignoring some quantifiers
% 2.62/1.36 Prover 6: Constructing countermodel ...
% 2.62/1.38 Prover 6: gave up
% 2.62/1.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.86/1.39 Prover 7: Preprocessing ...
% 2.86/1.39 Prover 7: Proving ...
% 3.21/1.62 Prover 7: proved (234ms)
% 3.21/1.62
% 3.21/1.62 % SZS status Theorem for theBenchmark
% 3.21/1.62
% 3.21/1.62 Generating proof ... found it (size 12)
% 3.70/1.77
% 3.70/1.77 % SZS output start Proof for theBenchmark
% 3.70/1.77 Assumed formulas after preprocessing and simplification:
% 3.70/1.77 | (0) ! [v0] : ? [v1] : (big_f(v0, v1) & ~ big_f(v1, v1) & ! [v2] : big_f(v2, v0))
% 3.70/1.78 | Instantiating formula (0) with ex_0_0_0 yields:
% 3.70/1.78 | (1) ? [v0] : (big_f(ex_0_0_0, v0) & ~ big_f(v0, v0) & ! [v1] : big_f(v1, ex_0_0_0))
% 3.70/1.78 |
% 3.70/1.78 | Instantiating (1) with all_1_0_1 yields:
% 3.90/1.78 | (2) big_f(ex_0_0_0, all_1_0_1) & ~ big_f(all_1_0_1, all_1_0_1) & ! [v0] : big_f(v0, ex_0_0_0)
% 3.90/1.78 |
% 3.90/1.78 | Applying alpha-rule on (2) yields:
% 3.90/1.78 | (3) big_f(ex_0_0_0, all_1_0_1)
% 3.90/1.78 | (4) ~ big_f(all_1_0_1, all_1_0_1)
% 3.90/1.78 | (5) ! [v0] : big_f(v0, ex_0_0_0)
% 3.90/1.78 |
% 3.90/1.78 | Introducing new symbol ex_9_0_2 defined by:
% 3.90/1.78 | (6) ex_9_0_2 = all_1_0_1
% 3.90/1.78 |
% 3.90/1.78 | Instantiating formula (0) with ex_9_0_2 yields:
% 3.90/1.78 | (7) ? [v0] : (big_f(ex_9_0_2, v0) & ~ big_f(v0, v0) & ! [v1] : big_f(v1, ex_9_0_2))
% 3.90/1.78 |
% 3.90/1.78 | Instantiating (7) with all_10_0_3 yields:
% 3.90/1.78 | (8) big_f(ex_9_0_2, all_10_0_3) & ~ big_f(all_10_0_3, all_10_0_3) & ! [v0] : big_f(v0, ex_9_0_2)
% 3.90/1.78 |
% 3.90/1.78 | Applying alpha-rule on (8) yields:
% 3.90/1.78 | (9) big_f(ex_9_0_2, all_10_0_3)
% 3.90/1.78 | (10) ~ big_f(all_10_0_3, all_10_0_3)
% 3.90/1.78 | (11) ! [v0] : big_f(v0, ex_9_0_2)
% 3.90/1.78 |
% 3.90/1.78 | Introducing new symbol ex_35_0_7 defined by:
% 3.90/1.78 | (12) ex_35_0_7 = all_1_0_1
% 3.90/1.78 |
% 3.90/1.78 | Instantiating formula (11) with ex_35_0_7 yields:
% 3.90/1.78 | (13) big_f(ex_35_0_7, ex_9_0_2)
% 3.90/1.78 |
% 3.90/1.78 | From (12)(6) and (13) follows:
% 3.90/1.78 | (14) big_f(all_1_0_1, all_1_0_1)
% 3.90/1.78 |
% 3.90/1.78 | Using (14) and (4) yields:
% 3.90/1.78 | (15) $false
% 3.90/1.78 |
% 3.90/1.78 |-The branch is then unsatisfiable
% 3.90/1.78 % SZS output end Proof for theBenchmark
% 3.90/1.78
% 3.92/1.78 1167ms
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