TSTP Solution File: SYN730+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 05:04:46 EDT 2022
% Result : Theorem 3.53s 1.67s
% Output : Proof 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 11 17:47:54 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.51/0.62 ____ _
% 0.51/0.62 ___ / __ \_____(_)___ ________ __________
% 0.51/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.62
% 0.51/0.62 A Theorem Prover for First-Order Logic
% 0.65/0.62 (ePrincess v.1.0)
% 0.65/0.62
% 0.65/0.62 (c) Philipp Rümmer, 2009-2015
% 0.65/0.62 (c) Peter Backeman, 2014-2015
% 0.65/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.62 Bug reports to peter@backeman.se
% 0.65/0.62
% 0.65/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.62
% 0.65/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.20/0.91 Prover 0: Preprocessing ...
% 1.42/0.96 Prover 0: Warning: ignoring some quantifiers
% 1.42/0.98 Prover 0: Constructing countermodel ...
% 1.80/1.10 Prover 0: gave up
% 1.80/1.10 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.80/1.11 Prover 1: Preprocessing ...
% 1.80/1.15 Prover 1: Warning: ignoring some quantifiers
% 1.80/1.15 Prover 1: Constructing countermodel ...
% 2.10/1.20 Prover 1: gave up
% 2.10/1.20 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.10/1.20 Prover 2: Preprocessing ...
% 2.27/1.23 Prover 2: Warning: ignoring some quantifiers
% 2.27/1.23 Prover 2: Constructing countermodel ...
% 2.32/1.28 Prover 2: gave up
% 2.32/1.28 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.32/1.29 Prover 3: Preprocessing ...
% 2.32/1.29 Prover 3: Warning: ignoring some quantifiers
% 2.32/1.29 Prover 3: Constructing countermodel ...
% 2.32/1.32 Prover 3: gave up
% 2.32/1.32 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.59/1.32 Prover 4: Preprocessing ...
% 2.59/1.35 Prover 4: Warning: ignoring some quantifiers
% 2.59/1.35 Prover 4: Constructing countermodel ...
% 2.76/1.42 Prover 4: gave up
% 2.76/1.42 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.76/1.42 Prover 5: Preprocessing ...
% 2.76/1.43 Prover 5: Warning: ignoring some quantifiers
% 2.76/1.44 Prover 5: Constructing countermodel ...
% 3.05/1.46 Prover 5: gave up
% 3.05/1.46 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.05/1.47 Prover 6: Preprocessing ...
% 3.14/1.48 Prover 6: Warning: ignoring some quantifiers
% 3.14/1.48 Prover 6: Constructing countermodel ...
% 3.14/1.51 Prover 6: gave up
% 3.14/1.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.14/1.52 Prover 7: Preprocessing ...
% 3.29/1.53 Prover 7: Proving ...
% 3.53/1.67 Prover 7: proved (154ms)
% 3.53/1.67
% 3.53/1.67 % SZS status Theorem for theBenchmark
% 3.53/1.67
% 3.53/1.67 Generating proof ... found it (size 13)
% 3.87/1.79
% 3.87/1.79 % SZS output start Proof for theBenchmark
% 3.87/1.79 Assumed formulas after preprocessing and simplification:
% 3.87/1.79 | (0) ? [v0] : ( ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (h(v3) = v2) | ~ (h(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (k(v3) = v2) | ~ (k(v3) = v1)) & ! [v1] : ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & k(v2) = v4 & ! [v5] : ~ p(v1, v2, v5) & (p(v1, v2, v4) | p(v0, v2, v3))))
% 3.97/1.81 | Instantiating (0) with all_0_0_0 yields:
% 3.97/1.81 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k(v2) = v1) | ~ (k(v2) = v0)) & ! [v0] : ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & k(v1) = v3 & ! [v4] : ~ p(v0, v1, v4) & (p(v0, v1, v3) | p(all_0_0_0, v1, v2)))
% 3.97/1.82 |
% 3.97/1.82 | Applying alpha-rule on (1) yields:
% 3.97/1.82 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0))
% 3.97/1.82 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k(v2) = v1) | ~ (k(v2) = v0))
% 3.97/1.82 | (4) ! [v0] : ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & k(v1) = v3 & ! [v4] : ~ p(v0, v1, v4) & (p(v0, v1, v3) | p(all_0_0_0, v1, v2)))
% 3.97/1.82 |
% 3.97/1.82 | Introducing new symbol ex_4_0_1 defined by:
% 3.97/1.82 | (5) ex_4_0_1 = all_0_0_0
% 3.97/1.82 |
% 3.97/1.82 | Instantiating formula (4) with ex_4_0_1 yields:
% 3.97/1.82 | (6) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & k(v0) = v2 & ! [v3] : ~ p(ex_4_0_1, v0, v3) & (p(ex_4_0_1, v0, v2) | p(all_0_0_0, v0, v1)))
% 3.97/1.82 |
% 3.97/1.82 | Instantiating (6) with all_5_0_2, all_5_1_3, all_5_2_4 yields:
% 3.97/1.82 | (7) h(all_5_2_4) = all_5_1_3 & k(all_5_2_4) = all_5_0_2 & ! [v0] : ~ p(ex_4_0_1, all_5_2_4, v0) & (p(ex_4_0_1, all_5_2_4, all_5_0_2) | p(all_0_0_0, all_5_2_4, all_5_1_3))
% 3.97/1.82 |
% 3.97/1.82 | Applying alpha-rule on (7) yields:
% 3.97/1.82 | (8) h(all_5_2_4) = all_5_1_3
% 3.97/1.82 | (9) k(all_5_2_4) = all_5_0_2
% 3.97/1.82 | (10) ! [v0] : ~ p(ex_4_0_1, all_5_2_4, v0)
% 3.97/1.82 | (11) p(ex_4_0_1, all_5_2_4, all_5_0_2) | p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.97/1.82 |
% 3.97/1.82 +-Applying beta-rule and splitting (11), into two cases.
% 3.97/1.82 |-Branch one:
% 3.97/1.82 | (12) p(ex_4_0_1, all_5_2_4, all_5_0_2)
% 3.97/1.82 |
% 3.97/1.82 | Instantiating formula (10) with all_5_0_2 and discharging atoms p(ex_4_0_1, all_5_2_4, all_5_0_2), yields:
% 3.97/1.82 | (13) $false
% 3.97/1.82 |
% 3.97/1.82 |-The branch is then unsatisfiable
% 3.97/1.82 |-Branch two:
% 3.97/1.82 | (14) p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.97/1.82 |
% 3.97/1.82 | Instantiating formula (10) with all_5_1_3 yields:
% 3.97/1.82 | (15) ~ p(ex_4_0_1, all_5_2_4, all_5_1_3)
% 3.97/1.82 |
% 3.97/1.82 | From (5) and (15) follows:
% 3.97/1.83 | (16) ~ p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.97/1.83 |
% 3.97/1.83 | Using (14) and (16) yields:
% 3.97/1.83 | (13) $false
% 3.97/1.83 |
% 3.97/1.83 |-The branch is then unsatisfiable
% 3.97/1.83 % SZS output end Proof for theBenchmark
% 3.97/1.83
% 3.97/1.83 1188ms
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