%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------ %----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 %------------------------------------------------------------------------------