TSTP Solution File: SYN071+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 04:59:41 EDT 2022
% Result : Theorem 1.38s 0.97s
% Output : Proof 1.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 16:08:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.58 ____ _
% 0.20/0.58 ___ / __ \_____(_)___ ________ __________
% 0.20/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic
% 0.20/0.58 (ePrincess v.1.0)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2015
% 0.20/0.58 (c) Peter Backeman, 2014-2015
% 0.20/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.58 Bug reports to peter@backeman.se
% 0.20/0.58
% 0.20/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.58
% 0.20/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.28/0.90 Prover 0: Preprocessing ...
% 1.34/0.92 Prover 0: Constructing countermodel ...
% 1.38/0.97 Prover 0: proved (308ms)
% 1.38/0.97
% 1.38/0.97 No countermodel exists, formula is valid
% 1.38/0.97 % SZS status Theorem for theBenchmark
% 1.38/0.97
% 1.38/0.97 Generating proof ... found it (size 16)
% 1.62/1.07
% 1.62/1.07 % SZS output start Proof for theBenchmark
% 1.62/1.08 Assumed formulas after preprocessing and simplification:
% 1.62/1.08 | (0) ~ (c = b) & ~ (d = a) & (c = d | a = b) & (c = a | d = b)
% 1.75/1.08 | Applying alpha-rule on (0) yields:
% 1.75/1.08 | (1) ~ (c = b)
% 1.75/1.08 | (2) ~ (d = a)
% 1.75/1.08 | (3) c = d | a = b
% 1.75/1.08 | (4) c = a | d = b
% 1.75/1.08 |
% 1.75/1.09 +-Applying beta-rule and splitting (3), into two cases.
% 1.75/1.09 |-Branch one:
% 1.75/1.09 | (5) c = d
% 1.75/1.09 |
% 1.75/1.09 | Equations (5) can reduce 1 to:
% 1.75/1.09 | (6) ~ (d = b)
% 1.75/1.09 |
% 1.75/1.09 +-Applying beta-rule and splitting (4), into two cases.
% 1.75/1.09 |-Branch one:
% 1.75/1.09 | (7) c = a
% 1.75/1.09 |
% 1.75/1.09 | Combining equations (7,5) yields a new equation:
% 1.75/1.09 | (8) d = a
% 1.75/1.09 |
% 1.75/1.09 | Equations (8) can reduce 2 to:
% 1.75/1.09 | (9) $false
% 1.75/1.09 |
% 1.75/1.09 |-The branch is then unsatisfiable
% 1.75/1.09 |-Branch two:
% 1.75/1.09 | (10) ~ (c = a)
% 1.75/1.09 | (11) d = b
% 1.75/1.09 |
% 1.75/1.09 | Equations (11) can reduce 6 to:
% 1.75/1.09 | (9) $false
% 1.75/1.09 |
% 1.75/1.09 |-The branch is then unsatisfiable
% 1.75/1.09 |-Branch two:
% 1.75/1.09 | (13) ~ (c = d)
% 1.75/1.09 | (14) a = b
% 1.75/1.09 |
% 1.75/1.09 | Equations (14) can reduce 2 to:
% 1.75/1.09 | (6) ~ (d = b)
% 1.75/1.09 |
% 1.75/1.09 +-Applying beta-rule and splitting (4), into two cases.
% 1.75/1.09 |-Branch one:
% 1.75/1.09 | (7) c = a
% 1.75/1.09 |
% 1.75/1.09 | Combining equations (14,7) yields a new equation:
% 1.75/1.09 | (17) c = b
% 1.75/1.09 |
% 1.75/1.09 | Equations (17) can reduce 1 to:
% 1.75/1.09 | (9) $false
% 1.75/1.09 |
% 1.75/1.09 |-The branch is then unsatisfiable
% 1.75/1.09 |-Branch two:
% 1.75/1.09 | (10) ~ (c = a)
% 1.75/1.09 | (11) d = b
% 1.75/1.09 |
% 1.75/1.09 | Equations (11) can reduce 6 to:
% 1.75/1.09 | (9) $false
% 1.75/1.09 |
% 1.75/1.09 |-The branch is then unsatisfiable
% 1.75/1.09 % SZS output end Proof for theBenchmark
% 1.75/1.09
% 1.75/1.09 494ms
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