TSTP Solution File: SYN918+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 05:05:51 EDT 2022
% Result : Theorem 1.60s 1.05s
% Output : Proof 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:27:17 EDT 2022
% 0.13/0.35 % 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 ...
% 0.66/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.87 Prover 0: Preprocessing ...
% 1.41/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.41/0.96 Prover 0: Constructing countermodel ...
% 1.60/1.05 Prover 0: proved (421ms)
% 1.60/1.05
% 1.60/1.05 No countermodel exists, formula is valid
% 1.60/1.05 % SZS status Theorem for theBenchmark
% 1.60/1.05
% 1.60/1.05 Generating proof ... Warning: ignoring some quantifiers
% 2.24/1.19 found it (size 20)
% 2.24/1.19
% 2.24/1.19 % SZS output start Proof for theBenchmark
% 2.24/1.19 Assumed formulas after preprocessing and simplification:
% 2.24/1.19 | (0) ? [v0] : ( ! [v1] : ( ~ h(v1) | ~ f(v1) | g(v1)) & ! [v1] : ( ~ g(v1) | ~ f(v1) | h(v1)) & ( ! [v1] : ( ~ f(v1) | h(v1)) | ! [v1] : ( ~ f(v1) | g(v1))) & ((f(v0) & ~ g(v0)) | ( ! [v1] : ~ h(v1) & ? [v1] : g(v1) & ? [v1] : f(v1))))
% 2.24/1.19 | Instantiating (0) with all_0_0_0 yields:
% 2.24/1.19 | (1) ! [v0] : ( ~ h(v0) | ~ f(v0) | g(v0)) & ! [v0] : ( ~ g(v0) | ~ f(v0) | h(v0)) & ( ! [v0] : ( ~ f(v0) | h(v0)) | ! [v0] : ( ~ f(v0) | g(v0))) & ((f(all_0_0_0) & ~ g(all_0_0_0)) | ( ! [v0] : ~ h(v0) & ? [v0] : g(v0) & ? [v0] : f(v0)))
% 2.24/1.20 |
% 2.24/1.20 | Applying alpha-rule on (1) yields:
% 2.24/1.20 | (2) ! [v0] : ( ~ h(v0) | ~ f(v0) | g(v0))
% 2.24/1.20 | (3) ! [v0] : ( ~ g(v0) | ~ f(v0) | h(v0))
% 2.24/1.20 | (4) ! [v0] : ( ~ f(v0) | h(v0)) | ! [v0] : ( ~ f(v0) | g(v0))
% 2.24/1.20 | (5) (f(all_0_0_0) & ~ g(all_0_0_0)) | ( ! [v0] : ~ h(v0) & ? [v0] : g(v0) & ? [v0] : f(v0))
% 2.24/1.20 |
% 2.24/1.20 +-Applying beta-rule and splitting (5), into two cases.
% 2.24/1.20 |-Branch one:
% 2.24/1.20 | (6) f(all_0_0_0) & ~ g(all_0_0_0)
% 2.24/1.20 |
% 2.24/1.20 | Applying alpha-rule on (6) yields:
% 2.24/1.20 | (7) f(all_0_0_0)
% 2.24/1.20 | (8) ~ g(all_0_0_0)
% 2.24/1.20 |
% 2.24/1.20 +-Applying beta-rule and splitting (4), into two cases.
% 2.24/1.20 |-Branch one:
% 2.24/1.20 | (9) ! [v0] : ( ~ f(v0) | h(v0))
% 2.24/1.20 |
% 2.24/1.20 | Instantiating formula (9) with all_0_0_0 and discharging atoms f(all_0_0_0), yields:
% 2.24/1.20 | (10) h(all_0_0_0)
% 2.24/1.20 |
% 2.24/1.20 | Instantiating formula (2) with all_0_0_0 and discharging atoms h(all_0_0_0), f(all_0_0_0), ~ g(all_0_0_0), yields:
% 2.24/1.21 | (11) $false
% 2.24/1.21 |
% 2.24/1.21 |-The branch is then unsatisfiable
% 2.24/1.21 |-Branch two:
% 2.24/1.21 | (12) ! [v0] : ( ~ f(v0) | g(v0))
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (12) with all_0_0_0 and discharging atoms f(all_0_0_0), ~ g(all_0_0_0), yields:
% 2.24/1.21 | (11) $false
% 2.24/1.21 |
% 2.24/1.21 |-The branch is then unsatisfiable
% 2.24/1.21 |-Branch two:
% 2.24/1.21 | (14) ! [v0] : ~ h(v0) & ? [v0] : g(v0) & ? [v0] : f(v0)
% 2.24/1.21 |
% 2.24/1.21 | Applying alpha-rule on (14) yields:
% 2.24/1.21 | (15) ! [v0] : ~ h(v0)
% 2.24/1.21 | (16) ? [v0] : g(v0)
% 2.24/1.21 | (17) ? [v0] : f(v0)
% 2.24/1.21 |
% 2.24/1.21 | Instantiating (17) with all_8_0_2 yields:
% 2.24/1.21 | (18) f(all_8_0_2)
% 2.24/1.21 |
% 2.24/1.21 +-Applying beta-rule and splitting (4), into two cases.
% 2.24/1.21 |-Branch one:
% 2.24/1.21 | (9) ! [v0] : ( ~ f(v0) | h(v0))
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (9) with all_8_0_2 and discharging atoms f(all_8_0_2), yields:
% 2.24/1.21 | (20) h(all_8_0_2)
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (15) with all_8_0_2 and discharging atoms h(all_8_0_2), yields:
% 2.24/1.21 | (11) $false
% 2.24/1.21 |
% 2.24/1.21 |-The branch is then unsatisfiable
% 2.24/1.21 |-Branch two:
% 2.24/1.21 | (12) ! [v0] : ( ~ f(v0) | g(v0))
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (12) with all_8_0_2 and discharging atoms f(all_8_0_2), yields:
% 2.24/1.21 | (23) g(all_8_0_2)
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (3) with all_8_0_2 and discharging atoms g(all_8_0_2), f(all_8_0_2), yields:
% 2.24/1.21 | (20) h(all_8_0_2)
% 2.24/1.21 |
% 2.24/1.21 | Instantiating formula (15) with all_8_0_2 and discharging atoms h(all_8_0_2), yields:
% 2.24/1.21 | (11) $false
% 2.24/1.21 |
% 2.24/1.21 |-The branch is then unsatisfiable
% 2.24/1.21 % SZS output end Proof for theBenchmark
% 2.24/1.21
% 2.24/1.21 623ms
%------------------------------------------------------------------------------