TSTP Solution File: CSR147+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 : Fri Jul 15 02:52:13 EDT 2022
% Result : Theorem 1.88s 1.11s
% Output : Proof 2.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n025.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
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 10 07:06:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.44/0.91 Prover 0: Preprocessing ...
% 1.69/1.03 Prover 0: Constructing countermodel ...
% 1.88/1.11 Prover 0: proved (480ms)
% 1.88/1.11
% 1.88/1.11 No countermodel exists, formula is valid
% 1.88/1.11 % SZS status Theorem for theBenchmark
% 1.88/1.11
% 1.88/1.11 Generating proof ... found it (size 4)
% 2.42/1.27
% 2.42/1.27 % SZS output start Proof for theBenchmark
% 2.42/1.27 Assumed formulas after preprocessing and simplification:
% 2.42/1.27 | (0) ? [v0] : ? [v1] : (s__siblingFn(jim) = geoff & greater(n54, n48) & s__age(jim, n54) & s__age(geoff, n48) & s__LivingThing(v0) & s__Human(v1) & s__Human(jim) & s__Human(geoff) & ~ s__has_seen_more(geoff, jim) & ~ s__more_experienced(jim, geoff) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (s__siblingFn(v2) = v5) | ~ greater(v3, v4) | ~ s__age(v5, v4) | ~ s__age(v2, v3) | ~ s__Human(v2) | s__has_seen_more(v5, v2) | s__more_experienced(v2, v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (s__siblingFn(v3) = v2) | ~ (s__siblingFn(v2) = v4) | ~ s__Human(v3) | ~ s__Human(v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (s__siblingFn(v4) = v3) | ~ (s__siblingFn(v4) = v2)) & ! [v2] : ! [v3] : ( ~ (s__siblingFn(v2) = v3) | ~ s__Human(v2) | s__Human(v3)) & ! [v2] : ( ~ s__Human(v2) | s__LivingThing(v2)))
% 2.42/1.30 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.42/1.30 | (1) s__siblingFn(jim) = geoff & greater(n54, n48) & s__age(jim, n54) & s__age(geoff, n48) & s__LivingThing(all_0_1_1) & s__Human(all_0_0_0) & s__Human(jim) & s__Human(geoff) & ~ s__has_seen_more(geoff, jim) & ~ s__more_experienced(jim, geoff) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s__siblingFn(v0) = v3) | ~ greater(v1, v2) | ~ s__age(v3, v2) | ~ s__age(v0, v1) | ~ s__Human(v0) | s__has_seen_more(v3, v0) | s__more_experienced(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (s__siblingFn(v1) = v0) | ~ (s__siblingFn(v0) = v2) | ~ s__Human(v1) | ~ s__Human(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s__siblingFn(v2) = v1) | ~ (s__siblingFn(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (s__siblingFn(v0) = v1) | ~ s__Human(v0) | s__Human(v1)) & ! [v0] : ( ~ s__Human(v0) | s__LivingThing(v0))
% 2.42/1.31 |
% 2.42/1.31 | Applying alpha-rule on (1) yields:
% 2.42/1.31 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s__siblingFn(v2) = v1) | ~ (s__siblingFn(v2) = v0))
% 2.42/1.31 | (3) ! [v0] : ! [v1] : ( ~ (s__siblingFn(v0) = v1) | ~ s__Human(v0) | s__Human(v1))
% 2.42/1.31 | (4) s__LivingThing(all_0_1_1)
% 2.42/1.31 | (5) s__Human(geoff)
% 2.42/1.31 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (s__siblingFn(v0) = v3) | ~ greater(v1, v2) | ~ s__age(v3, v2) | ~ s__age(v0, v1) | ~ s__Human(v0) | s__has_seen_more(v3, v0) | s__more_experienced(v0, v3))
% 2.42/1.31 | (7) ~ s__more_experienced(jim, geoff)
% 2.42/1.31 | (8) s__age(geoff, n48)
% 2.42/1.31 | (9) ~ s__has_seen_more(geoff, jim)
% 2.42/1.31 | (10) s__Human(all_0_0_0)
% 2.42/1.31 | (11) s__Human(jim)
% 2.42/1.31 | (12) s__age(jim, n54)
% 2.42/1.31 | (13) ! [v0] : ( ~ s__Human(v0) | s__LivingThing(v0))
% 2.42/1.31 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (s__siblingFn(v1) = v0) | ~ (s__siblingFn(v0) = v2) | ~ s__Human(v1) | ~ s__Human(v0))
% 2.42/1.31 | (15) greater(n54, n48)
% 2.42/1.31 | (16) s__siblingFn(jim) = geoff
% 2.42/1.31 |
% 2.42/1.31 | Instantiating formula (6) with geoff, n48, n54, jim and discharging atoms s__siblingFn(jim) = geoff, greater(n54, n48), s__age(jim, n54), s__age(geoff, n48), s__Human(jim), ~ s__has_seen_more(geoff, jim), ~ s__more_experienced(jim, geoff), yields:
% 2.42/1.31 | (17) $false
% 2.42/1.31 |
% 2.42/1.32 |-The branch is then unsatisfiable
% 2.42/1.32 % SZS output end Proof for theBenchmark
% 2.42/1.32
% 2.42/1.32 727ms
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