TSTP Solution File: SYN947+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SYN947+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 05:06:02 EDT 2022
% Result : Theorem 2.44s 1.24s
% Output : Proof 2.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN947+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n019.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 17:31:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.59 ____ _
% 0.58/0.59 ___ / __ \_____(_)___ ________ __________
% 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.59
% 0.58/0.59 A Theorem Prover for First-Order Logic
% 0.58/0.59 (ePrincess v.1.0)
% 0.58/0.59
% 0.58/0.59 (c) Philipp Rümmer, 2009-2015
% 0.58/0.59 (c) Peter Backeman, 2014-2015
% 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.59 Bug reports to peter@backeman.se
% 0.58/0.59
% 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.59
% 0.58/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.25/0.88 Prover 0: Preprocessing ...
% 1.31/0.92 Prover 0: Warning: ignoring some quantifiers
% 1.40/0.94 Prover 0: Constructing countermodel ...
% 1.52/1.02 Prover 0: gave up
% 1.52/1.02 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.52/1.03 Prover 1: Preprocessing ...
% 1.86/1.08 Prover 1: Constructing countermodel ...
% 1.86/1.09 Prover 1: gave up
% 1.86/1.09 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.10 Prover 2: Preprocessing ...
% 1.86/1.12 Prover 2: Warning: ignoring some quantifiers
% 1.86/1.12 Prover 2: Constructing countermodel ...
% 1.86/1.15 Prover 2: gave up
% 1.86/1.15 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.16 Prover 3: Preprocessing ...
% 1.86/1.16 Prover 3: Warning: ignoring some quantifiers
% 1.86/1.16 Prover 3: Constructing countermodel ...
% 1.86/1.17 Prover 3: gave up
% 1.86/1.17 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.28/1.18 Prover 4: Preprocessing ...
% 2.28/1.21 Prover 4: Warning: ignoring some quantifiers
% 2.28/1.21 Prover 4: Constructing countermodel ...
% 2.44/1.23 Prover 4: proved (59ms)
% 2.44/1.24
% 2.44/1.24 No countermodel exists, formula is valid
% 2.44/1.24 % SZS status Theorem for theBenchmark
% 2.44/1.24
% 2.44/1.24 Generating proof ... Warning: ignoring some quantifiers
% 2.62/1.35 found it (size 8)
% 2.62/1.35
% 2.62/1.35 % SZS output start Proof for theBenchmark
% 2.62/1.36 Assumed formulas after preprocessing and simplification:
% 2.62/1.36 | (0) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (r(v2) = v1) | ~ (r(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (r(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & p(v2) = v3)) & ! [v0] : ! [v1] : ( ~ (p(v0) = v1) | ? [v2] : (v1 = 0 & q(v2) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & r(v0) = v1 & p(v2) = v3) & ? [v0] : ? [v1] : (p(v0) = 0 & q(v1) = 0)
% 2.77/1.39 | Applying alpha-rule on (0) yields:
% 2.77/1.39 | (1) ! [v0] : ! [v1] : ( ~ (p(v0) = v1) | ? [v2] : (v1 = 0 & q(v2) = 0))
% 2.77/1.39 | (2) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & r(v0) = v1 & p(v2) = v3)
% 2.77/1.39 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0))
% 2.77/1.39 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0))
% 2.77/1.39 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (r(v2) = v1) | ~ (r(v2) = v0))
% 2.77/1.40 | (6) ? [v0] : ? [v1] : (p(v0) = 0 & q(v1) = 0)
% 2.77/1.40 | (7) ! [v0] : ! [v1] : ( ~ (r(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & p(v2) = v3))
% 2.77/1.40 |
% 2.77/1.40 | Instantiating (2) with all_3_0_2, all_3_1_3, all_3_2_4, all_3_3_5 yields:
% 2.77/1.40 | (8) ~ (all_3_0_2 = 0) & ~ (all_3_2_4 = 0) & r(all_3_3_5) = all_3_2_4 & p(all_3_1_3) = all_3_0_2
% 2.77/1.40 |
% 2.77/1.40 | Applying alpha-rule on (8) yields:
% 2.77/1.40 | (9) ~ (all_3_0_2 = 0)
% 2.77/1.40 | (10) ~ (all_3_2_4 = 0)
% 2.77/1.40 | (11) r(all_3_3_5) = all_3_2_4
% 2.77/1.40 | (12) p(all_3_1_3) = all_3_0_2
% 2.77/1.40 |
% 2.77/1.40 | Instantiating formula (1) with all_3_0_2, all_3_1_3 and discharging atoms p(all_3_1_3) = all_3_0_2, yields:
% 2.77/1.40 | (13) ? [v0] : (all_3_0_2 = 0 & q(v0) = 0)
% 2.77/1.40 |
% 2.77/1.40 | Instantiating (13) with all_12_0_7 yields:
% 2.77/1.40 | (14) all_3_0_2 = 0 & q(all_12_0_7) = 0
% 2.77/1.40 |
% 2.77/1.40 | Applying alpha-rule on (14) yields:
% 2.77/1.40 | (15) all_3_0_2 = 0
% 2.77/1.40 | (16) q(all_12_0_7) = 0
% 2.77/1.40 |
% 2.77/1.40 | Equations (15) can reduce 9 to:
% 2.77/1.40 | (17) $false
% 2.77/1.40 |
% 2.77/1.40 |-The branch is then unsatisfiable
% 2.77/1.40 % SZS output end Proof for theBenchmark
% 2.77/1.40
% 2.77/1.40 803ms
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