TSTP Solution File: SYN055+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n010.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 04:59:27 EDT 2022
% Result : Theorem 1.50s 1.00s
% Output : Proof 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 12 03:25:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.56/0.58 ____ _
% 0.56/0.58 ___ / __ \_____(_)___ ________ __________
% 0.56/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.58
% 0.56/0.58 A Theorem Prover for First-Order Logic
% 0.56/0.58 (ePrincess v.1.0)
% 0.56/0.58
% 0.56/0.58 (c) Philipp Rümmer, 2009-2015
% 0.56/0.58 (c) Peter Backeman, 2014-2015
% 0.56/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.58 Bug reports to peter@backeman.se
% 0.56/0.58
% 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.58
% 0.56/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.86 Prover 0: Preprocessing ...
% 1.49/0.93 Prover 0: Constructing countermodel ...
% 1.50/1.00 Prover 0: proved (373ms)
% 1.50/1.00
% 1.50/1.00 No countermodel exists, formula is valid
% 1.50/1.00 % SZS status Theorem for theBenchmark
% 1.50/1.00
% 1.50/1.00 Generating proof ... found it (size 6)
% 1.98/1.12
% 1.98/1.12 % SZS output start Proof for theBenchmark
% 1.98/1.12 Assumed formulas after preprocessing and simplification:
% 1.98/1.12 | (0) ? [v0] : ? [v1] : (big_p(v1) & ! [v2] : ( ~ big_q(v2) | ~ big_p(v2)) & ! [v2] : ( ~ big_g(v2) | ~ big_f(v2)) & ! [v2] : ( ~ big_f(v2) | big_r(v2)) & ! [v2] : ( ~ big_p(v2) | big_g(v2)) & ! [v2] : ( ~ big_p(v2) | big_f(v2)) & ( ! [v2] : ( ~ big_p(v2) | big_q(v2)) | (big_r(v0) & big_p(v0))))
% 1.98/1.13 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 1.98/1.13 | (1) big_p(all_0_0_0) & ! [v0] : ( ~ big_q(v0) | ~ big_p(v0)) & ! [v0] : ( ~ big_g(v0) | ~ big_f(v0)) & ! [v0] : ( ~ big_f(v0) | big_r(v0)) & ! [v0] : ( ~ big_p(v0) | big_g(v0)) & ! [v0] : ( ~ big_p(v0) | big_f(v0)) & ( ! [v0] : ( ~ big_p(v0) | big_q(v0)) | (big_r(all_0_1_1) & big_p(all_0_1_1)))
% 1.98/1.13 |
% 1.98/1.13 | Applying alpha-rule on (1) yields:
% 1.98/1.13 | (2) ! [v0] : ( ~ big_q(v0) | ~ big_p(v0))
% 1.98/1.13 | (3) big_p(all_0_0_0)
% 1.98/1.13 | (4) ! [v0] : ( ~ big_f(v0) | big_r(v0))
% 1.98/1.13 | (5) ! [v0] : ( ~ big_p(v0) | big_g(v0))
% 1.98/1.13 | (6) ! [v0] : ( ~ big_g(v0) | ~ big_f(v0))
% 1.98/1.13 | (7) ! [v0] : ( ~ big_p(v0) | big_f(v0))
% 1.98/1.13 | (8) ! [v0] : ( ~ big_p(v0) | big_q(v0)) | (big_r(all_0_1_1) & big_p(all_0_1_1))
% 1.98/1.13 |
% 1.98/1.13 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_p(all_0_0_0), yields:
% 1.98/1.13 | (9) big_g(all_0_0_0)
% 1.98/1.13 |
% 1.98/1.13 | Instantiating formula (7) with all_0_0_0 and discharging atoms big_p(all_0_0_0), yields:
% 1.98/1.13 | (10) big_f(all_0_0_0)
% 1.98/1.14 |
% 1.98/1.14 | Instantiating formula (6) with all_0_0_0 and discharging atoms big_g(all_0_0_0), big_f(all_0_0_0), yields:
% 1.98/1.14 | (11) $false
% 1.98/1.14 |
% 1.98/1.14 |-The branch is then unsatisfiable
% 1.98/1.14 % SZS output end Proof for theBenchmark
% 1.98/1.14
% 1.98/1.14 545ms
%------------------------------------------------------------------------------