%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n026.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 01:07:47 EDT 2022 % Result : Theorem 2.12s 1.19s % Output : Proof 2.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Thu Jun 16 19:54:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.45/0.60 ____ _ % 0.45/0.60 ___ / __ \_____(_)___ ________ __________ % 0.45/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.45/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.45/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.45/0.60 % 0.45/0.60 A Theorem Prover for First-Order Logic % 0.45/0.60 (ePrincess v.1.0) % 0.45/0.60 % 0.45/0.60 (c) Philipp Rümmer, 2009-2015 % 0.45/0.60 (c) Peter Backeman, 2014-2015 % 0.45/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.45/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.45/0.60 Bug reports to peter@backeman.se % 0.45/0.60 % 0.45/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.45/0.60 % 0.45/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.54/0.96 Prover 0: Preprocessing ... % 1.85/1.07 Prover 0: Constructing countermodel ... % 2.12/1.18 Prover 0: proved (536ms) % 2.12/1.19 % 2.12/1.19 No countermodel exists, formula is valid % 2.12/1.19 % SZS status Theorem for theBenchmark % 2.12/1.19 % 2.12/1.19 Generating proof ... found it (size 14) % 2.88/1.37 % 2.88/1.37 % SZS output start Proof for theBenchmark % 2.88/1.37 Assumed formulas after preprocessing and simplification: % 2.88/1.37 | (0) sdtmndtasgtdt0(xy, xR, xz) & sdtmndtasgtdt0(xx, xR, xy) & aRewritingSystem0(xR) & aElement0(xz) & aElement0(xy) & aElement0(xx) & ~ sdtmndtasgtdt0(xx, xR, xz) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ sdtmndtplgtdt0(v3, v1, v2) | ~ aReductOfIn0(v3, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v3) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ sdtmndtplgtdt0(v2, v1, v3) | ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v3) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ sdtmndtasgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtasgtdt0(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | aReductOfIn0(v2, v0, v1) | ? [v3] : (sdtmndtplgtdt0(v3, v1, v2) & aReductOfIn0(v3, v0, v1) & aElement0(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ aReductOfIn0(v2, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ aReductOfIn0(v2, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v0) | aElement0(v2)) & ! [v0] : ! [v1] : ( ~ aRewritingSystem0(v1) | ~ aElement0(v0) | sdtmndtasgtdt0(v0, v1, v0)) % 2.88/1.39 | Applying alpha-rule on (0) yields: % 2.88/1.39 | (1) sdtmndtasgtdt0(xx, xR, xy) % 2.88/1.39 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ aReductOfIn0(v2, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) % 2.88/1.39 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ sdtmndtplgtdt0(v2, v1, v3) | ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v3) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v3)) % 2.88/1.39 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | aReductOfIn0(v2, v0, v1) | ? [v3] : (sdtmndtplgtdt0(v3, v1, v2) & aReductOfIn0(v3, v0, v1) & aElement0(v3))) % 2.88/1.39 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtmndtplgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtasgtdt0(v0, v1, v2)) % 2.88/1.39 | (6) aElement0(xx) % 2.88/1.39 | (7) ~ sdtmndtasgtdt0(xx, xR, xz) % 2.88/1.39 | (8) sdtmndtasgtdt0(xy, xR, xz) % 2.88/1.39 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ aReductOfIn0(v2, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v0) | aElement0(v2)) % 2.88/1.39 | (10) aElement0(xy) % 2.88/1.39 | (11) aElement0(xz) % 2.88/1.39 | (12) ! [v0] : ! [v1] : ( ~ aRewritingSystem0(v1) | ~ aElement0(v0) | sdtmndtasgtdt0(v0, v1, v0)) % 2.88/1.39 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ sdtmndtasgtdt0(v0, v1, v2) | ~ aRewritingSystem0(v1) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) % 2.88/1.39 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ sdtmndtplgtdt0(v3, v1, v2) | ~ aReductOfIn0(v3, v0, v1) | ~ aRewritingSystem0(v1) | ~ aElement0(v3) | ~ aElement0(v2) | ~ aElement0(v0) | sdtmndtplgtdt0(v0, v1, v2)) % 2.88/1.40 | (15) aRewritingSystem0(xR) % 2.88/1.40 | % 2.88/1.40 | Instantiating formula (13) with xz, xR, xy and discharging atoms sdtmndtasgtdt0(xy, xR, xz), aRewritingSystem0(xR), aElement0(xz), aElement0(xy), yields: % 2.88/1.40 | (16) xz = xy | sdtmndtplgtdt0(xy, xR, xz) % 2.88/1.40 | % 2.88/1.40 | Instantiating formula (13) with xy, xR, xx and discharging atoms sdtmndtasgtdt0(xx, xR, xy), aRewritingSystem0(xR), aElement0(xy), aElement0(xx), yields: % 2.88/1.40 | (17) xy = xx | sdtmndtplgtdt0(xx, xR, xy) % 2.88/1.40 | % 2.88/1.40 +-Applying beta-rule and splitting (16), into two cases. % 2.88/1.40 |-Branch one: % 2.88/1.40 | (18) sdtmndtplgtdt0(xy, xR, xz) % 2.88/1.40 | % 2.88/1.40 +-Applying beta-rule and splitting (17), into two cases. % 2.88/1.40 |-Branch one: % 2.88/1.40 | (19) sdtmndtplgtdt0(xx, xR, xy) % 2.88/1.40 | % 2.88/1.40 | Instantiating formula (3) with xz, xy, xR, xx and discharging atoms sdtmndtplgtdt0(xy, xR, xz), sdtmndtplgtdt0(xx, xR, xy), aRewritingSystem0(xR), aElement0(xz), aElement0(xy), aElement0(xx), yields: % 2.88/1.40 | (20) sdtmndtplgtdt0(xx, xR, xz) % 2.88/1.40 | % 2.88/1.40 | Instantiating formula (5) with xz, xR, xx and discharging atoms sdtmndtplgtdt0(xx, xR, xz), aRewritingSystem0(xR), aElement0(xz), aElement0(xx), ~ sdtmndtasgtdt0(xx, xR, xz), yields: % 2.88/1.40 | (21) $false % 2.88/1.40 | % 2.88/1.40 |-The branch is then unsatisfiable % 2.88/1.40 |-Branch two: % 2.88/1.40 | (22) ~ sdtmndtplgtdt0(xx, xR, xy) % 2.88/1.40 | (23) xy = xx % 2.88/1.40 | % 2.88/1.40 | From (23) and (8) follows: % 2.88/1.40 | (24) sdtmndtasgtdt0(xx, xR, xz) % 2.88/1.40 | % 2.88/1.40 | Using (24) and (7) yields: % 2.88/1.40 | (21) $false % 2.88/1.40 | % 2.88/1.40 |-The branch is then unsatisfiable % 2.88/1.40 |-Branch two: % 2.88/1.40 | (26) ~ sdtmndtplgtdt0(xy, xR, xz) % 2.88/1.40 | (27) xz = xy % 2.88/1.40 | % 2.88/1.40 | From (27) and (7) follows: % 2.88/1.40 | (28) ~ sdtmndtasgtdt0(xx, xR, xy) % 2.88/1.40 | % 2.88/1.40 | Using (1) and (28) yields: % 2.88/1.40 | (21) $false % 2.88/1.40 | % 2.88/1.40 |-The branch is then unsatisfiable % 2.88/1.40 % SZS output end Proof for theBenchmark % 2.88/1.40 % 2.88/1.40 794ms %------------------------------------------------------------------------------