TSTP Solution File: SYN346+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN346+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 05:01:38 EDT 2022
% Result : Theorem 3.77s 1.72s
% Output : Proof 4.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n007.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 01:08:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.62/0.60 ____ _
% 0.62/0.60 ___ / __ \_____(_)___ ________ __________
% 0.62/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.62/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.62/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.60
% 0.62/0.60 A Theorem Prover for First-Order Logic
% 0.62/0.61 (ePrincess v.1.0)
% 0.62/0.61
% 0.62/0.61 (c) Philipp Rümmer, 2009-2015
% 0.62/0.61 (c) Peter Backeman, 2014-2015
% 0.62/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.61 Bug reports to peter@backeman.se
% 0.62/0.61
% 0.62/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.61
% 0.62/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.35/0.93 Prover 0: Preprocessing ...
% 1.35/0.98 Prover 0: Warning: ignoring some quantifiers
% 1.35/0.99 Prover 0: Constructing countermodel ...
% 1.65/1.09 Prover 0: gave up
% 1.65/1.09 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.65/1.11 Prover 1: Preprocessing ...
% 1.65/1.15 Prover 1: Warning: ignoring some quantifiers
% 1.65/1.15 Prover 1: Constructing countermodel ...
% 2.31/1.27 Prover 1: gave up
% 2.31/1.27 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.31/1.28 Prover 2: Preprocessing ...
% 2.31/1.30 Prover 2: Warning: ignoring some quantifiers
% 2.31/1.30 Prover 2: Constructing countermodel ...
% 2.60/1.35 Prover 2: gave up
% 2.60/1.35 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.60/1.36 Prover 3: Preprocessing ...
% 2.60/1.37 Prover 3: Warning: ignoring some quantifiers
% 2.60/1.37 Prover 3: Constructing countermodel ...
% 2.60/1.38 Prover 3: gave up
% 2.60/1.38 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.84/1.39 Prover 4: Preprocessing ...
% 2.84/1.41 Prover 4: Warning: ignoring some quantifiers
% 2.84/1.41 Prover 4: Constructing countermodel ...
% 3.11/1.46 Prover 4: gave up
% 3.11/1.46 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.16/1.47 Prover 5: Preprocessing ...
% 3.16/1.48 Prover 5: Warning: ignoring some quantifiers
% 3.16/1.48 Prover 5: Constructing countermodel ...
% 3.30/1.53 Prover 5: gave up
% 3.30/1.53 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.30/1.53 Prover 6: Preprocessing ...
% 3.41/1.55 Prover 6: Warning: ignoring some quantifiers
% 3.41/1.55 Prover 6: Constructing countermodel ...
% 3.41/1.57 Prover 6: gave up
% 3.41/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.41/1.58 Prover 7: Preprocessing ...
% 3.41/1.58 Prover 7: Proving ...
% 3.77/1.72 Prover 7: proved (150ms)
% 3.77/1.72
% 3.77/1.72 % SZS status Theorem for theBenchmark
% 3.77/1.72
% 3.77/1.72 Generating proof ... found it (size 13)
% 4.11/1.89
% 4.11/1.89 % SZS output start Proof for theBenchmark
% 4.11/1.89 Assumed formulas after preprocessing and simplification:
% 4.11/1.89 | (0) ? [v0] : ! [v1] : ! [v2] : ? [v3] : ? [v4] : (big_f(v1, v4) & big_f(v0, v3) & ( ~ big_f(v2, v4) | ~ big_f(v0, v4)) & ( ~ big_f(v2, v3) | ~ big_f(v1, v3)))
% 4.11/1.90 | Instantiating (0) with all_0_0_0 yields:
% 4.11/1.90 | (1) ! [v0] : ! [v1] : ? [v2] : ? [v3] : (big_f(v0, v3) & big_f(all_0_0_0, v2) & ( ~ big_f(v1, v3) | ~ big_f(all_0_0_0, v3)) & ( ~ big_f(v1, v2) | ~ big_f(v0, v2)))
% 4.11/1.90 |
% 4.11/1.90 | Introducing new symbol ex_2_1_2 defined by:
% 4.11/1.90 | (2) ex_2_1_2 = all_0_0_0
% 4.11/1.90 |
% 4.11/1.90 | Introducing new symbol ex_2_0_1 defined by:
% 4.11/1.90 | (3) ex_2_0_1 = all_0_0_0
% 4.11/1.90 |
% 4.11/1.90 | Instantiating formula (1) with ex_2_0_1, ex_2_1_2 yields:
% 4.11/1.90 | (4) ? [v0] : ? [v1] : (big_f(ex_2_1_2, v1) & big_f(all_0_0_0, v0) & ( ~ big_f(ex_2_0_1, v1) | ~ big_f(all_0_0_0, v1)) & ( ~ big_f(ex_2_0_1, v0) | ~ big_f(ex_2_1_2, v0)))
% 4.11/1.90 |
% 4.11/1.90 | Instantiating (4) with all_3_0_3, all_3_1_4 yields:
% 4.11/1.90 | (5) big_f(ex_2_1_2, all_3_0_3) & big_f(all_0_0_0, all_3_1_4) & ( ~ big_f(ex_2_0_1, all_3_0_3) | ~ big_f(all_0_0_0, all_3_0_3)) & ( ~ big_f(ex_2_0_1, all_3_1_4) | ~ big_f(ex_2_1_2, all_3_1_4))
% 4.11/1.90 |
% 4.11/1.90 | Applying alpha-rule on (5) yields:
% 4.11/1.90 | (6) big_f(ex_2_1_2, all_3_0_3)
% 4.11/1.90 | (7) big_f(all_0_0_0, all_3_1_4)
% 4.11/1.90 | (8) ~ big_f(ex_2_0_1, all_3_0_3) | ~ big_f(all_0_0_0, all_3_0_3)
% 4.11/1.90 | (9) ~ big_f(ex_2_0_1, all_3_1_4) | ~ big_f(ex_2_1_2, all_3_1_4)
% 4.11/1.90 |
% 4.11/1.90 +-Applying beta-rule and splitting (9), into two cases.
% 4.11/1.90 |-Branch one:
% 4.11/1.90 | (10) ~ big_f(ex_2_0_1, all_3_1_4)
% 4.11/1.90 |
% 4.11/1.90 | From (3) and (10) follows:
% 4.11/1.90 | (11) ~ big_f(all_0_0_0, all_3_1_4)
% 4.11/1.90 |
% 4.11/1.90 | Using (7) and (11) yields:
% 4.11/1.90 | (12) $false
% 4.11/1.90 |
% 4.11/1.90 |-The branch is then unsatisfiable
% 4.11/1.90 |-Branch two:
% 4.11/1.90 | (13) ~ big_f(ex_2_1_2, all_3_1_4)
% 4.11/1.90 |
% 4.11/1.90 | From (2) and (13) follows:
% 4.11/1.90 | (11) ~ big_f(all_0_0_0, all_3_1_4)
% 4.11/1.90 |
% 4.11/1.90 | Using (7) and (11) yields:
% 4.11/1.90 | (12) $false
% 4.11/1.90 |
% 4.11/1.90 |-The branch is then unsatisfiable
% 4.11/1.90 % SZS output end Proof for theBenchmark
% 4.11/1.90
% 4.11/1.90 1282ms
%------------------------------------------------------------------------------