TSTP Solution File: SYN340+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN340+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.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 05:01:33 EDT 2022
% Result : Theorem 3.39s 1.57s
% Output : Proof 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN340+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n007.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 11:30:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.57 ____ _
% 0.54/0.57 ___ / __ \_____(_)___ ________ __________
% 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.57
% 0.54/0.57 A Theorem Prover for First-Order Logic
% 0.54/0.57 (ePrincess v.1.0)
% 0.54/0.57
% 0.54/0.57 (c) Philipp Rümmer, 2009-2015
% 0.54/0.57 (c) Peter Backeman, 2014-2015
% 0.54/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.57 Bug reports to peter@backeman.se
% 0.54/0.57
% 0.54/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.57
% 0.54/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.54/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.10/0.82 Prover 0: Preprocessing ...
% 1.31/0.86 Prover 0: Warning: ignoring some quantifiers
% 1.31/0.87 Prover 0: Constructing countermodel ...
% 1.46/0.96 Prover 0: gave up
% 1.46/0.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.61/0.98 Prover 1: Preprocessing ...
% 1.61/1.01 Prover 1: Warning: ignoring some quantifiers
% 1.61/1.01 Prover 1: Constructing countermodel ...
% 1.61/1.02 Prover 1: gave up
% 1.61/1.02 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.61/1.03 Prover 2: Preprocessing ...
% 1.90/1.04 Prover 2: Warning: ignoring some quantifiers
% 1.90/1.05 Prover 2: Constructing countermodel ...
% 1.90/1.07 Prover 2: gave up
% 1.90/1.07 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.90/1.07 Prover 3: Preprocessing ...
% 2.02/1.08 Prover 3: Warning: ignoring some quantifiers
% 2.02/1.08 Prover 3: Constructing countermodel ...
% 2.02/1.09 Prover 3: gave up
% 2.02/1.10 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.02/1.11 Prover 4: Preprocessing ...
% 2.02/1.14 Prover 4: Warning: ignoring some quantifiers
% 2.02/1.14 Prover 4: Constructing countermodel ...
% 2.28/1.19 Prover 4: gave up
% 2.28/1.19 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.28/1.20 Prover 5: Preprocessing ...
% 2.28/1.21 Prover 5: Warning: ignoring some quantifiers
% 2.28/1.21 Prover 5: Constructing countermodel ...
% 2.28/1.22 Prover 5: gave up
% 2.28/1.22 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.28/1.22 Prover 6: Preprocessing ...
% 2.46/1.23 Prover 6: Warning: ignoring some quantifiers
% 2.46/1.24 Prover 6: Constructing countermodel ...
% 2.46/1.25 Prover 6: gave up
% 2.46/1.25 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.54/1.26 Prover 7: Preprocessing ...
% 2.54/1.26 Prover 7: Proving ...
% 3.39/1.57 Prover 7: proved (319ms)
% 3.39/1.57
% 3.39/1.57 % SZS status Theorem for theBenchmark
% 3.39/1.57
% 3.39/1.57 Generating proof ... found it (size 16)
% 3.63/1.71
% 3.63/1.71 % SZS output start Proof for theBenchmark
% 3.63/1.71 Assumed formulas after preprocessing and simplification:
% 3.63/1.71 | (0) ! [v0] : ? [v1] : ( ! [v2] : ! [v3] : ~ big_f(v2, v0, v1, v2, v3) & ! [v2] : ! [v3] : big_f(v0, v1, v2, v3, v2))
% 3.63/1.71 | Introducing new symbol ex_0_0_0 defined by:
% 3.63/1.71 | (1) ex_0_0_0 = arbitrary_constant
% 3.63/1.71 |
% 3.63/1.71 | Instantiating formula (0) with ex_0_0_0 yields:
% 3.63/1.71 | (2) ? [v0] : ( ! [v1] : ! [v2] : ~ big_f(v1, ex_0_0_0, v0, v1, v2) & ! [v1] : ! [v2] : big_f(ex_0_0_0, v0, v1, v2, v1))
% 3.63/1.72 |
% 3.63/1.72 | Instantiating (2) with all_1_0_1 yields:
% 3.63/1.72 | (3) ! [v0] : ! [v1] : ~ big_f(v0, ex_0_0_0, all_1_0_1, v0, v1) & ! [v0] : ! [v1] : big_f(ex_0_0_0, all_1_0_1, v0, v1, v0)
% 3.63/1.72 |
% 3.63/1.72 | Applying alpha-rule on (3) yields:
% 3.63/1.72 | (4) ! [v0] : ! [v1] : ~ big_f(v0, ex_0_0_0, all_1_0_1, v0, v1)
% 3.63/1.72 | (5) ! [v0] : ! [v1] : big_f(ex_0_0_0, all_1_0_1, v0, v1, v0)
% 3.63/1.72 |
% 3.63/1.72 | Introducing new symbol ex_5_0_2 defined by:
% 3.63/1.72 | (6) ex_5_0_2 = all_1_0_1
% 3.63/1.72 |
% 3.63/1.72 | Instantiating formula (0) with ex_5_0_2 yields:
% 3.63/1.72 | (7) ? [v0] : ( ! [v1] : ! [v2] : ~ big_f(v1, ex_5_0_2, v0, v1, v2) & ! [v1] : ! [v2] : big_f(ex_5_0_2, v0, v1, v2, v1))
% 3.63/1.72 |
% 3.63/1.72 | Instantiating (7) with all_6_0_3 yields:
% 3.63/1.72 | (8) ! [v0] : ! [v1] : ~ big_f(v0, ex_5_0_2, all_6_0_3, v0, v1) & ! [v0] : ! [v1] : big_f(ex_5_0_2, all_6_0_3, v0, v1, v0)
% 3.63/1.72 |
% 3.63/1.72 | Applying alpha-rule on (8) yields:
% 3.63/1.72 | (9) ! [v0] : ! [v1] : ~ big_f(v0, ex_5_0_2, all_6_0_3, v0, v1)
% 3.63/1.72 | (10) ! [v0] : ! [v1] : big_f(ex_5_0_2, all_6_0_3, v0, v1, v0)
% 3.63/1.72 |
% 3.63/1.72 | Introducing new symbol ex_10_1_5 defined by:
% 3.63/1.72 | (11) ex_10_1_5 = all_6_0_3
% 3.63/1.72 |
% 3.63/1.72 | Introducing new symbol ex_10_0_4 defined by:
% 3.63/1.72 | (12) ex_10_0_4 = arbitrary_constant
% 3.63/1.72 |
% 3.63/1.72 | Instantiating formula (5) with ex_10_0_4, ex_10_1_5 yields:
% 3.63/1.72 | (13) big_f(ex_0_0_0, all_1_0_1, ex_10_1_5, ex_10_0_4, ex_10_1_5)
% 3.63/1.72 |
% 3.63/1.72 | Instantiating formula (9) with all_6_0_3, ex_0_0_0 yields:
% 3.63/1.72 | (14) ~ big_f(ex_0_0_0, ex_5_0_2, all_6_0_3, ex_0_0_0, all_6_0_3)
% 3.63/1.72 |
% 3.63/1.72 | From (1)(11)(12)(11) and (13) follows:
% 3.63/1.72 | (15) big_f(arbitrary_constant, all_1_0_1, all_6_0_3, arbitrary_constant, all_6_0_3)
% 3.63/1.72 |
% 3.63/1.72 | From (1)(6)(1) and (14) follows:
% 3.63/1.72 | (16) ~ big_f(arbitrary_constant, all_1_0_1, all_6_0_3, arbitrary_constant, all_6_0_3)
% 3.63/1.72 |
% 3.63/1.72 | Using (15) and (16) yields:
% 3.63/1.72 | (17) $false
% 3.63/1.72 |
% 3.63/1.72 |-The branch is then unsatisfiable
% 3.63/1.72 % SZS output end Proof for theBenchmark
% 3.63/1.72
% 3.63/1.72 1143ms
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