TSTP Solution File: NUM533+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n014.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 : Mon Jul 18 08:45:34 EDT 2022
% Result : Theorem 1.92s 1.16s
% Output : Proof 2.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jul 6 15:27:07 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.56 ____ _
% 0.16/0.56 ___ / __ \_____(_)___ ________ __________
% 0.16/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.16/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.16/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.16/0.56
% 0.16/0.56 A Theorem Prover for First-Order Logic
% 0.16/0.56 (ePrincess v.1.0)
% 0.16/0.56
% 0.16/0.56 (c) Philipp Rümmer, 2009-2015
% 0.16/0.56 (c) Peter Backeman, 2014-2015
% 0.16/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.16/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.16/0.56 Bug reports to peter@backeman.se
% 0.16/0.56
% 0.16/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.16/0.56
% 0.16/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.47/0.91 Prover 0: Preprocessing ...
% 1.73/1.02 Prover 0: Constructing countermodel ...
% 1.92/1.16 Prover 0: proved (538ms)
% 1.92/1.16
% 1.92/1.16 No countermodel exists, formula is valid
% 1.92/1.16 % SZS status Theorem for theBenchmark
% 1.92/1.16
% 1.92/1.16 Generating proof ... found it (size 7)
% 2.71/1.36
% 2.71/1.36 % SZS output start Proof for theBenchmark
% 2.71/1.36 Assumed formulas after preprocessing and simplification:
% 2.71/1.36 | (0) aSubsetOf0(xB, xC) & aSubsetOf0(xA, xB) & isFinite0(slcrc0) & aSet0(xC) & aSet0(xB) & aSet0(xA) & aSet0(slcrc0) & ~ aSubsetOf0(xA, xC) & ~ isCountable0(slcrc0) & ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) | aElementOf0(v2, v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ aSubsetOf0(v1, v0) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v1) | ~ aSet0(v0)) & ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | isFinite0(v1)) & ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1)) & ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1)) & ! [v0] : ! [v1] : ( ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) | ? [v2] : (aElementOf0(v2, v1) & ~ aElementOf0(v2, v0))) & ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0)) & ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0)) & ! [v0] : ~ aElementOf0(v0, slcrc0) & ! [v0] : ( ~ aSet0(v0) | aSubsetOf0(v0, v0))
% 2.71/1.37 | Applying alpha-rule on (0) yields:
% 2.71/1.37 | (1) ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0))
% 2.71/1.37 | (2) ~ isCountable0(slcrc0)
% 2.71/1.37 | (3) aSet0(xA)
% 2.71/1.37 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ aSubsetOf0(v1, v0) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v1) | ~ aSet0(v0))
% 2.71/1.37 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) | aElementOf0(v2, v0))
% 2.71/1.37 | (6) isFinite0(slcrc0)
% 2.71/1.37 | (7) aSet0(xB)
% 2.71/1.38 | (8) ~ aSubsetOf0(xA, xC)
% 2.71/1.38 | (9) ! [v0] : ~ aElementOf0(v0, slcrc0)
% 2.71/1.38 | (10) aSubsetOf0(xA, xB)
% 2.71/1.38 | (11) ! [v0] : ! [v1] : ( ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) | ? [v2] : (aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)))
% 2.71/1.38 | (12) aSet0(slcrc0)
% 2.71/1.38 | (13) ! [v0] : ( ~ aSet0(v0) | aSubsetOf0(v0, v0))
% 2.71/1.38 | (14) ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1))
% 2.71/1.38 | (15) ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | isFinite0(v1))
% 2.71/1.38 | (16) aSet0(xC)
% 2.71/1.38 | (17) ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0))
% 2.71/1.38 | (18) ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1))
% 2.71/1.38 | (19) aSubsetOf0(xB, xC)
% 2.71/1.38 |
% 2.71/1.38 | Instantiating formula (11) with xA, xC and discharging atoms aSet0(xC), aSet0(xA), ~ aSubsetOf0(xA, xC), yields:
% 2.71/1.38 | (20) ? [v0] : (aElementOf0(v0, xA) & ~ aElementOf0(v0, xC))
% 2.71/1.38 |
% 2.71/1.38 | Instantiating (20) with all_8_0_0 yields:
% 2.71/1.38 | (21) aElementOf0(all_8_0_0, xA) & ~ aElementOf0(all_8_0_0, xC)
% 2.71/1.38 |
% 2.71/1.38 | Applying alpha-rule on (21) yields:
% 2.71/1.38 | (22) aElementOf0(all_8_0_0, xA)
% 2.71/1.38 | (23) ~ aElementOf0(all_8_0_0, xC)
% 2.71/1.38 |
% 2.71/1.38 | Instantiating formula (5) with all_8_0_0, xA, xB and discharging atoms aSubsetOf0(xA, xB), aElementOf0(all_8_0_0, xA), aSet0(xB), yields:
% 2.71/1.38 | (24) aElementOf0(all_8_0_0, xB)
% 2.93/1.38 |
% 2.93/1.38 | Instantiating formula (5) with all_8_0_0, xB, xC and discharging atoms aSubsetOf0(xB, xC), aElementOf0(all_8_0_0, xB), aSet0(xC), ~ aElementOf0(all_8_0_0, xC), yields:
% 2.93/1.38 | (25) $false
% 2.93/1.38 |
% 2.93/1.38 |-The branch is then unsatisfiable
% 2.93/1.38 % SZS output end Proof for theBenchmark
% 2.93/1.38
% 2.93/1.38 817ms
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