TSTP Solution File: SYN727+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN727+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n010.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 05:04:44 EDT 2022
% Result : Theorem 3.23s 1.58s
% Output : Proof 3.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN727+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n010.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 : Tue Jul 12 00:09:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.60 ____ _
% 0.60/0.60 ___ / __ \_____(_)___ ________ __________
% 0.60/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.60
% 0.60/0.60 A Theorem Prover for First-Order Logic
% 0.60/0.60 (ePrincess v.1.0)
% 0.60/0.60
% 0.60/0.60 (c) Philipp Rümmer, 2009-2015
% 0.60/0.60 (c) Peter Backeman, 2014-2015
% 0.60/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.60 Bug reports to peter@backeman.se
% 0.60/0.60
% 0.60/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.60
% 0.60/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.22/0.89 Prover 0: Preprocessing ...
% 1.31/0.93 Prover 0: Warning: ignoring some quantifiers
% 1.38/0.95 Prover 0: Constructing countermodel ...
% 1.56/1.06 Prover 0: gave up
% 1.56/1.06 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.56/1.08 Prover 1: Preprocessing ...
% 1.80/1.11 Prover 1: Warning: ignoring some quantifiers
% 1.80/1.12 Prover 1: Constructing countermodel ...
% 1.80/1.16 Prover 1: gave up
% 1.80/1.16 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.80/1.16 Prover 2: Preprocessing ...
% 2.16/1.18 Prover 2: Warning: ignoring some quantifiers
% 2.16/1.18 Prover 2: Constructing countermodel ...
% 2.23/1.21 Prover 2: gave up
% 2.23/1.21 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.23/1.22 Prover 3: Preprocessing ...
% 2.23/1.22 Prover 3: Warning: ignoring some quantifiers
% 2.23/1.23 Prover 3: Constructing countermodel ...
% 2.41/1.25 Prover 3: gave up
% 2.41/1.25 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.41/1.26 Prover 4: Preprocessing ...
% 2.41/1.28 Prover 4: Warning: ignoring some quantifiers
% 2.41/1.28 Prover 4: Constructing countermodel ...
% 2.61/1.32 Prover 4: gave up
% 2.61/1.33 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.61/1.33 Prover 5: Preprocessing ...
% 2.61/1.34 Prover 5: Warning: ignoring some quantifiers
% 2.61/1.34 Prover 5: Constructing countermodel ...
% 2.77/1.36 Prover 5: gave up
% 2.77/1.36 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.77/1.37 Prover 6: Preprocessing ...
% 2.77/1.38 Prover 6: Warning: ignoring some quantifiers
% 2.77/1.38 Prover 6: Constructing countermodel ...
% 2.77/1.40 Prover 6: gave up
% 2.77/1.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.77/1.40 Prover 7: Preprocessing ...
% 2.77/1.41 Prover 7: Proving ...
% 3.23/1.58 Prover 7: proved (186ms)
% 3.23/1.58
% 3.23/1.58 % SZS status Theorem for theBenchmark
% 3.23/1.58
% 3.23/1.58 Generating proof ... found it (size 19)
% 3.59/1.70
% 3.59/1.70 % SZS output start Proof for theBenchmark
% 3.59/1.70 Assumed formulas after preprocessing and simplification:
% 3.59/1.70 | (0) ? [v0] : ? [v1] : ( ! [v2] : likes(v2, v1) & ! [v2] : (likes(v0, v2) | ! [v3] : ~ likes(v2, v3)) & ! [v2] : ? [v3] : ~ likes(v2, v3))
% 3.59/1.70 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 3.59/1.70 | (1) ! [v0] : likes(v0, all_0_0_0) & ! [v0] : (likes(all_0_1_1, v0) | ! [v1] : ~ likes(v0, v1)) & ! [v0] : ? [v1] : ~ likes(v0, v1)
% 3.59/1.70 |
% 3.59/1.70 | Applying alpha-rule on (1) yields:
% 3.59/1.70 | (2) ! [v0] : likes(v0, all_0_0_0)
% 3.59/1.70 | (3) ! [v0] : (likes(all_0_1_1, v0) | ! [v1] : ~ likes(v0, v1))
% 3.59/1.70 | (4) ! [v0] : ? [v1] : ~ likes(v0, v1)
% 3.59/1.70 |
% 3.59/1.70 | Introducing new symbol ex_2_0_2 defined by:
% 3.59/1.70 | (5) ex_2_0_2 = all_0_1_1
% 3.59/1.70 |
% 3.59/1.70 | Instantiating formula (4) with ex_2_0_2 yields:
% 3.59/1.70 | (6) ? [v0] : ~ likes(ex_2_0_2, v0)
% 3.59/1.70 |
% 3.59/1.70 | Instantiating (6) with all_3_0_3 yields:
% 3.59/1.70 | (7) ~ likes(ex_2_0_2, all_3_0_3)
% 3.59/1.70 |
% 3.59/1.70 | Introducing new symbol ex_11_0_4 defined by:
% 3.59/1.70 | (8) ex_11_0_4 = all_3_0_3
% 3.59/1.70 |
% 3.59/1.70 | Instantiating formula (3) with ex_11_0_4 yields:
% 3.59/1.70 | (9) likes(all_0_1_1, ex_11_0_4) | ! [v0] : ~ likes(ex_11_0_4, v0)
% 3.59/1.70 |
% 3.59/1.70 +-Applying beta-rule and splitting (9), into two cases.
% 3.59/1.70 |-Branch one:
% 3.59/1.70 | (10) likes(all_0_1_1, ex_11_0_4)
% 3.59/1.70 |
% 3.59/1.70 | From (8) and (10) follows:
% 3.59/1.71 | (11) likes(all_0_1_1, all_3_0_3)
% 3.59/1.71 |
% 3.59/1.71 | From (5) and (7) follows:
% 3.59/1.71 | (12) ~ likes(all_0_1_1, all_3_0_3)
% 3.59/1.71 |
% 3.59/1.71 | Using (11) and (12) yields:
% 3.59/1.71 | (13) $false
% 3.59/1.71 |
% 3.59/1.71 |-The branch is then unsatisfiable
% 3.59/1.71 |-Branch two:
% 3.59/1.71 | (14) ! [v0] : ~ likes(ex_11_0_4, v0)
% 3.59/1.71 |
% 3.59/1.71 | Introducing new symbol ex_16_0_5 defined by:
% 3.59/1.71 | (15) ex_16_0_5 = all_3_0_3
% 3.59/1.71 |
% 3.59/1.71 | Instantiating formula (2) with ex_16_0_5 yields:
% 3.59/1.71 | (16) likes(ex_16_0_5, all_0_0_0)
% 3.59/1.71 |
% 3.59/1.71 | Instantiating formula (14) with all_0_0_0 yields:
% 3.59/1.71 | (17) ~ likes(ex_11_0_4, all_0_0_0)
% 3.59/1.71 |
% 3.59/1.71 | From (15) and (16) follows:
% 3.59/1.71 | (18) likes(all_3_0_3, all_0_0_0)
% 3.59/1.71 |
% 3.59/1.71 | From (8) and (17) follows:
% 3.59/1.71 | (19) ~ likes(all_3_0_3, all_0_0_0)
% 3.59/1.71 |
% 3.59/1.71 | Using (18) and (19) yields:
% 3.59/1.71 | (13) $false
% 3.59/1.71 |
% 3.59/1.71 |-The branch is then unsatisfiable
% 3.59/1.71 % SZS output end Proof for theBenchmark
% 3.59/1.71
% 3.59/1.71 1097ms
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