%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 : Sun Jul 17 22:40:02 EDT 2022 % Result : Theorem 3.82s 1.61s % Output : Proof 6.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : MSC010+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.11 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.32 % Computer : n018.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Fri Jul 1 15:53:32 EDT 2022 % 0.11/0.32 % CPUTime : % 0.48/0.62 ____ _ % 0.48/0.62 ___ / __ \_____(_)___ ________ __________ % 0.48/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.48/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.48/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.48/0.62 % 0.48/0.62 A Theorem Prover for First-Order Logic % 0.48/0.62 (ePrincess v.1.0) % 0.48/0.62 % 0.48/0.62 (c) Philipp Rümmer, 2009-2015 % 0.48/0.62 (c) Peter Backeman, 2014-2015 % 0.48/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.48/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.48/0.62 Bug reports to peter@backeman.se % 0.48/0.62 % 0.48/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.48/0.62 % 0.48/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.78/1.03 Prover 0: Preprocessing ... % 2.43/1.27 Prover 0: Constructing countermodel ... % 3.82/1.61 Prover 0: proved (939ms) % 3.82/1.61 % 3.82/1.61 No countermodel exists, formula is valid % 3.82/1.61 % SZS status Theorem for theBenchmark % 3.82/1.61 % 3.82/1.61 Generating proof ... found it (size 68) % 6.24/2.16 % 6.24/2.16 % SZS output start Proof for theBenchmark % 6.24/2.16 Assumed formulas after preprocessing and simplification: % 6.24/2.16 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v2 = init) & ~ (v1 = pv64) & ~ (pv63 = pv64) & pred(pv63) = v0 & a_select3(id_ds1_filter_init, pv63, v1) = v2 & leq(v1, n5) & leq(v1, pv64) & leq(pv5, n998) & leq(n0, v1) & leq(n0, pv5) & leq(n0, pv63) & leq(n0, pv64) & leq(pv63, n5) & leq(pv64, n5) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (a_select3(v10, v9, v8) = v7) | ~ (a_select3(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (pred(v8) = v7) | ~ (pred(v8) = v6)) & ! [v6] : ! [v7] : ( ~ gt(pv63, v6) | ~ leq(v7, n5) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(id_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n2) | ~ leq(v6, n2) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(r_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n5) | ~ leq(v6, v0) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(id_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n5) | ~ leq(v6, n2) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(h_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n5) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(pminus_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n5) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(q_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n5) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(phi_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n0) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(xhatmin_ds1_filter_init, v6, v7) = init) & ! [v6] : ! [v7] : ( ~ leq(v7, n0) | ~ leq(v6, n5) | ~ leq(n0, v7) | ~ leq(n0, v6) | a_select3(dv_ds1_filter_init, v6, v7) = init) & ! [v6] : ( ~ gt(pv64, v6) | ~ leq(v6, n5) | ~ leq(n0, v6) | a_select3(id_ds1_filter_init, pv63, v6) = init) & ( ! [v6] : ! [v7] : (v7 = init | v6 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v6) = v7) | ~ leq(v6, n5) | ~ leq(v6, pv64) | ~ leq(n0, v6)) | (v3 = pv63 & ~ (v5 = init) & a_select3(id_ds1_filter_init, pv63, v4) = v5 & gt(pv64, v4) & leq(v4, n5) & leq(n0, v4)) | ( ~ (v5 = init) & a_select3(id_ds1_filter_init, v3, v4) = v5 & gt(pv63, v3) & leq(v4, n5) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(id_ds1_filter_init, v3, v4) = v5 & leq(v4, n5) & leq(v3, v0) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(pminus_ds1_filter_init, v3, v4) = v5 & leq(v4, n5) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(xhatmin_ds1_filter_init, v3, v4) = v5 & leq(v4, n0) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(r_ds1_filter_init, v3, v4) = v5 & leq(v4, n2) & leq(v3, n2) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(q_ds1_filter_init, v3, v4) = v5 & leq(v4, n5) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(dv_ds1_filter_init, v3, v4) = v5 & leq(v4, n0) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(phi_ds1_filter_init, v3, v4) = v5 & leq(v4, n5) & leq(v3, n5) & leq(n0, v4) & leq(n0, v3)) | ( ~ (v5 = init) & a_select3(h_ds1_filter_init, v3, v4) = v5 & leq(v4, n5) & leq(v3, n2) & leq(n0, v4) & leq(n0, v3)))) % 6.49/2.20 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields: % 6.49/2.20 | (1) ~ (all_0_3_3 = init) & ~ (all_0_4_4 = pv64) & ~ (pv63 = pv64) & pred(pv63) = all_0_5_5 & a_select3(id_ds1_filter_init, pv63, all_0_4_4) = all_0_3_3 & leq(all_0_4_4, n5) & leq(all_0_4_4, pv64) & leq(pv5, n998) & leq(n0, all_0_4_4) & leq(n0, pv5) & leq(n0, pv63) & leq(n0, pv64) & leq(pv63, n5) & leq(pv64, n5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ( ~ gt(pv63, v0) | ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n2) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(r_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, all_0_5_5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(h_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(pminus_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(q_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(phi_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n0) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(xhatmin_ds1_filter_init, v0, v1) = init) & ! [v0] : ! [v1] : ( ~ leq(v1, n0) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(dv_ds1_filter_init, v0, v1) = init) & ! [v0] : ( ~ gt(pv64, v0) | ~ leq(v0, n5) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, pv63, v0) = init) & ( ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2))) % 6.49/2.21 | % 6.49/2.21 | Applying alpha-rule on (1) yields: % 6.49/2.21 | (2) ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(h_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (3) leq(n0, pv63) % 6.49/2.21 | (4) ! [v0] : ! [v1] : ( ~ gt(pv63, v0) | ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (5) ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(phi_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (6) ~ (all_0_3_3 = init) % 6.49/2.21 | (7) leq(n0, pv64) % 6.49/2.21 | (8) ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, all_0_5_5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (9) leq(n0, all_0_4_4) % 6.49/2.21 | (10) ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(q_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (11) ! [v0] : ! [v1] : ( ~ leq(v1, n2) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(r_ds1_filter_init, v0, v1) = init) % 6.49/2.21 | (12) ~ (all_0_4_4 = pv64) % 6.49/2.21 | (13) pred(pv63) = all_0_5_5 % 6.49/2.21 | (14) leq(all_0_4_4, n5) % 6.49/2.21 | (15) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.22 | (16) ! [v0] : ( ~ gt(pv64, v0) | ~ leq(v0, n5) | ~ leq(n0, v0) | a_select3(id_ds1_filter_init, pv63, v0) = init) % 6.49/2.22 | (17) a_select3(id_ds1_filter_init, pv63, all_0_4_4) = all_0_3_3 % 6.49/2.22 | (18) leq(pv5, n998) % 6.49/2.22 | (19) ~ (pv63 = pv64) % 6.49/2.22 | (20) leq(pv64, n5) % 6.49/2.22 | (21) leq(pv63, n5) % 6.49/2.22 | (22) ! [v0] : ! [v1] : ( ~ leq(v1, n0) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(xhatmin_ds1_filter_init, v0, v1) = init) % 6.49/2.22 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) % 6.49/2.22 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) % 6.49/2.22 | (25) leq(n0, pv5) % 6.49/2.22 | (26) ! [v0] : ! [v1] : ( ~ leq(v1, n0) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(dv_ds1_filter_init, v0, v1) = init) % 6.49/2.22 | (27) leq(all_0_4_4, pv64) % 6.49/2.22 | (28) ! [v0] : ! [v1] : ( ~ leq(v1, n5) | ~ leq(v0, n5) | ~ leq(n0, v1) | ~ leq(n0, v0) | a_select3(pminus_ds1_filter_init, v0, v1) = init) % 6.49/2.22 | % 6.49/2.22 +-Applying beta-rule and splitting (15), into two cases. % 6.49/2.22 |-Branch one: % 6.49/2.22 | (29) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.22 | % 6.49/2.22 +-Applying beta-rule and splitting (29), into two cases. % 6.49/2.22 |-Branch one: % 6.49/2.22 | (30) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (30), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (31) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (31), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (32) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (32), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (33) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (33), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (34) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (34), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (35) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.23 | % 6.49/2.23 +-Applying beta-rule and splitting (35), into two cases. % 6.49/2.23 |-Branch one: % 6.49/2.23 | (36) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) | ( ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2)) % 6.49/2.24 | % 6.49/2.24 +-Applying beta-rule and splitting (36), into two cases. % 6.49/2.24 |-Branch one: % 6.49/2.24 | (37) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) | (all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1)) % 6.49/2.24 | % 6.49/2.24 +-Applying beta-rule and splitting (37), into two cases. % 6.49/2.24 |-Branch one: % 6.49/2.24 | (38) ! [v0] : ! [v1] : (v1 = init | v0 = pv64 | ~ (a_select3(id_ds1_filter_init, pv63, v0) = v1) | ~ leq(v0, n5) | ~ leq(v0, pv64) | ~ leq(n0, v0)) % 6.49/2.24 | % 6.49/2.24 | Instantiating formula (38) with all_0_3_3, all_0_4_4 and discharging atoms a_select3(id_ds1_filter_init, pv63, all_0_4_4) = all_0_3_3, leq(all_0_4_4, n5), leq(all_0_4_4, pv64), leq(n0, all_0_4_4), yields: % 6.49/2.24 | (39) all_0_3_3 = init | all_0_4_4 = pv64 % 6.49/2.24 | % 6.49/2.24 +-Applying beta-rule and splitting (39), into two cases. % 6.49/2.24 |-Branch one: % 6.49/2.24 | (40) all_0_3_3 = init % 6.49/2.24 | % 6.49/2.24 | Equations (40) can reduce 6 to: % 6.49/2.24 | (41) $false % 6.49/2.24 | % 6.49/2.24 |-The branch is then unsatisfiable % 6.49/2.24 |-Branch two: % 6.49/2.24 | (6) ~ (all_0_3_3 = init) % 6.49/2.24 | (43) all_0_4_4 = pv64 % 6.49/2.24 | % 6.49/2.24 | Equations (43) can reduce 12 to: % 6.49/2.24 | (41) $false % 6.49/2.24 | % 6.49/2.24 |-The branch is then unsatisfiable % 6.49/2.24 |-Branch two: % 6.49/2.24 | (45) all_0_2_2 = pv63 & ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 & gt(pv64, all_0_1_1) & leq(all_0_1_1, n5) & leq(n0, all_0_1_1) % 6.49/2.24 | % 6.49/2.24 | Applying alpha-rule on (45) yields: % 6.49/2.24 | (46) ~ (all_0_0_0 = init) % 6.49/2.24 | (47) all_0_2_2 = pv63 % 6.49/2.24 | (48) leq(n0, all_0_1_1) % 6.49/2.24 | (49) gt(pv64, all_0_1_1) % 6.49/2.24 | (50) a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0 % 6.49/2.24 | (51) leq(all_0_1_1, n5) % 6.49/2.24 | % 6.49/2.24 | Instantiating formula (16) with all_0_1_1 and discharging atoms gt(pv64, all_0_1_1), leq(all_0_1_1, n5), leq(n0, all_0_1_1), yields: % 6.49/2.24 | (52) a_select3(id_ds1_filter_init, pv63, all_0_1_1) = init % 6.49/2.24 | % 6.49/2.24 | Instantiating formula (24) with id_ds1_filter_init, pv63, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(id_ds1_filter_init, pv63, all_0_1_1) = all_0_0_0, a_select3(id_ds1_filter_init, pv63, all_0_1_1) = init, yields: % 6.49/2.24 | (53) all_0_0_0 = init % 6.49/2.24 | % 6.49/2.24 | Equations (53) can reduce 46 to: % 6.49/2.24 | (41) $false % 6.49/2.24 | % 6.49/2.24 |-The branch is then unsatisfiable % 6.49/2.24 |-Branch two: % 6.49/2.24 | (55) ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & gt(pv63, all_0_2_2) & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.24 | % 6.49/2.24 | Applying alpha-rule on (55) yields: % 6.49/2.24 | (56) leq(n0, all_0_2_2) % 6.49/2.24 | (46) ~ (all_0_0_0 = init) % 6.49/2.24 | (48) leq(n0, all_0_1_1) % 6.49/2.24 | (59) a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.24 | (60) gt(pv63, all_0_2_2) % 6.49/2.24 | (51) leq(all_0_1_1, n5) % 6.49/2.24 | (62) leq(all_0_2_2, n5) % 6.49/2.24 | % 6.49/2.24 | Instantiating formula (4) with all_0_1_1, all_0_2_2 and discharging atoms gt(pv63, all_0_2_2), leq(all_0_1_1, n5), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.24 | (63) a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.49/2.24 | % 6.49/2.24 | Instantiating formula (24) with id_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.49/2.24 | (53) all_0_0_0 = init % 6.49/2.24 | % 6.49/2.24 | Equations (53) can reduce 46 to: % 6.49/2.24 | (41) $false % 6.49/2.24 | % 6.49/2.24 |-The branch is then unsatisfiable % 6.49/2.24 |-Branch two: % 6.49/2.24 | (66) ~ (all_0_0_0 = init) & a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, all_0_5_5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.24 | % 6.49/2.24 | Applying alpha-rule on (66) yields: % 6.49/2.24 | (56) leq(n0, all_0_2_2) % 6.49/2.24 | (46) ~ (all_0_0_0 = init) % 6.49/2.24 | (48) leq(n0, all_0_1_1) % 6.49/2.24 | (70) leq(all_0_2_2, all_0_5_5) % 6.49/2.25 | (59) a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.25 | (51) leq(all_0_1_1, n5) % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (8) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n5), leq(all_0_2_2, all_0_5_5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.25 | (63) a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (24) with id_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(id_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.49/2.25 | (53) all_0_0_0 = init % 6.49/2.25 | % 6.49/2.25 | Equations (53) can reduce 46 to: % 6.49/2.25 | (41) $false % 6.49/2.25 | % 6.49/2.25 |-The branch is then unsatisfiable % 6.49/2.25 |-Branch two: % 6.49/2.25 | (76) ~ (all_0_0_0 = init) & a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.25 | % 6.49/2.25 | Applying alpha-rule on (76) yields: % 6.49/2.25 | (56) leq(n0, all_0_2_2) % 6.49/2.25 | (46) ~ (all_0_0_0 = init) % 6.49/2.25 | (48) leq(n0, all_0_1_1) % 6.49/2.25 | (80) a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.25 | (51) leq(all_0_1_1, n5) % 6.49/2.25 | (62) leq(all_0_2_2, n5) % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (28) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n5), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.25 | (83) a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (24) with pminus_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(pminus_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.49/2.25 | (53) all_0_0_0 = init % 6.49/2.25 | % 6.49/2.25 | Equations (53) can reduce 46 to: % 6.49/2.25 | (41) $false % 6.49/2.25 | % 6.49/2.25 |-The branch is then unsatisfiable % 6.49/2.25 |-Branch two: % 6.49/2.25 | (86) ~ (all_0_0_0 = init) & a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.25 | % 6.49/2.25 | Applying alpha-rule on (86) yields: % 6.49/2.25 | (56) leq(n0, all_0_2_2) % 6.49/2.25 | (88) a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.25 | (46) ~ (all_0_0_0 = init) % 6.49/2.25 | (48) leq(n0, all_0_1_1) % 6.49/2.25 | (91) leq(all_0_1_1, n0) % 6.49/2.25 | (62) leq(all_0_2_2, n5) % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (22) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n0), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.25 | (93) a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (24) with xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(xhatmin_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.49/2.25 | (53) all_0_0_0 = init % 6.49/2.25 | % 6.49/2.25 | Equations (53) can reduce 46 to: % 6.49/2.25 | (41) $false % 6.49/2.25 | % 6.49/2.25 |-The branch is then unsatisfiable % 6.49/2.25 |-Branch two: % 6.49/2.25 | (96) ~ (all_0_0_0 = init) & a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n2) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.25 | % 6.49/2.25 | Applying alpha-rule on (96) yields: % 6.49/2.25 | (56) leq(n0, all_0_2_2) % 6.49/2.25 | (98) a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.25 | (99) leq(all_0_1_1, n2) % 6.49/2.25 | (46) ~ (all_0_0_0 = init) % 6.49/2.25 | (48) leq(n0, all_0_1_1) % 6.49/2.25 | (102) leq(all_0_2_2, n2) % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (11) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n2), leq(all_0_2_2, n2), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.25 | (103) a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.49/2.25 | % 6.49/2.25 | Instantiating formula (24) with r_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(r_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.49/2.25 | (53) all_0_0_0 = init % 6.49/2.25 | % 6.49/2.25 | Equations (53) can reduce 46 to: % 6.49/2.25 | (41) $false % 6.49/2.25 | % 6.49/2.25 |-The branch is then unsatisfiable % 6.49/2.25 |-Branch two: % 6.49/2.25 | (106) ~ (all_0_0_0 = init) & a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.49/2.25 | % 6.49/2.25 | Applying alpha-rule on (106) yields: % 6.49/2.25 | (56) leq(n0, all_0_2_2) % 6.49/2.25 | (108) a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.49/2.25 | (46) ~ (all_0_0_0 = init) % 6.49/2.25 | (48) leq(n0, all_0_1_1) % 6.49/2.25 | (51) leq(all_0_1_1, n5) % 6.49/2.25 | (62) leq(all_0_2_2, n5) % 6.49/2.25 | % 6.49/2.26 | Instantiating formula (10) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n5), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.49/2.26 | (113) a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (24) with q_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(q_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.93/2.26 | (53) all_0_0_0 = init % 6.93/2.26 | % 6.93/2.26 | Equations (53) can reduce 46 to: % 6.93/2.26 | (41) $false % 6.93/2.26 | % 6.93/2.26 |-The branch is then unsatisfiable % 6.93/2.26 |-Branch two: % 6.93/2.26 | (116) ~ (all_0_0_0 = init) & a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n0) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.93/2.26 | % 6.93/2.26 | Applying alpha-rule on (116) yields: % 6.93/2.26 | (56) leq(n0, all_0_2_2) % 6.93/2.26 | (46) ~ (all_0_0_0 = init) % 6.93/2.26 | (119) a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.93/2.26 | (48) leq(n0, all_0_1_1) % 6.93/2.26 | (91) leq(all_0_1_1, n0) % 6.93/2.26 | (62) leq(all_0_2_2, n5) % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (26) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n0), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.93/2.26 | (123) a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (24) with dv_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(dv_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.93/2.26 | (53) all_0_0_0 = init % 6.93/2.26 | % 6.93/2.26 | Equations (53) can reduce 46 to: % 6.93/2.26 | (41) $false % 6.93/2.26 | % 6.93/2.26 |-The branch is then unsatisfiable % 6.93/2.26 |-Branch two: % 6.93/2.26 | (126) ~ (all_0_0_0 = init) & a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n5) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.93/2.26 | % 6.93/2.26 | Applying alpha-rule on (126) yields: % 6.93/2.26 | (56) leq(n0, all_0_2_2) % 6.93/2.26 | (46) ~ (all_0_0_0 = init) % 6.93/2.26 | (129) a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.93/2.26 | (48) leq(n0, all_0_1_1) % 6.93/2.26 | (51) leq(all_0_1_1, n5) % 6.93/2.26 | (62) leq(all_0_2_2, n5) % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (5) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n5), leq(all_0_2_2, n5), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.93/2.26 | (133) a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (24) with phi_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(phi_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.93/2.26 | (53) all_0_0_0 = init % 6.93/2.26 | % 6.93/2.26 | Equations (53) can reduce 46 to: % 6.93/2.26 | (41) $false % 6.93/2.26 | % 6.93/2.26 |-The branch is then unsatisfiable % 6.93/2.26 |-Branch two: % 6.93/2.26 | (136) ~ (all_0_0_0 = init) & a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 & leq(all_0_1_1, n5) & leq(all_0_2_2, n2) & leq(n0, all_0_1_1) & leq(n0, all_0_2_2) % 6.93/2.26 | % 6.93/2.26 | Applying alpha-rule on (136) yields: % 6.93/2.26 | (56) leq(n0, all_0_2_2) % 6.93/2.26 | (138) a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0 % 6.93/2.26 | (46) ~ (all_0_0_0 = init) % 6.93/2.26 | (48) leq(n0, all_0_1_1) % 6.93/2.26 | (102) leq(all_0_2_2, n2) % 6.93/2.26 | (51) leq(all_0_1_1, n5) % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (2) with all_0_1_1, all_0_2_2 and discharging atoms leq(all_0_1_1, n5), leq(all_0_2_2, n2), leq(n0, all_0_1_1), leq(n0, all_0_2_2), yields: % 6.93/2.26 | (143) a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = init % 6.93/2.26 | % 6.93/2.26 | Instantiating formula (24) with h_ds1_filter_init, all_0_2_2, all_0_1_1, init, all_0_0_0 and discharging atoms a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = all_0_0_0, a_select3(h_ds1_filter_init, all_0_2_2, all_0_1_1) = init, yields: % 6.93/2.26 | (53) all_0_0_0 = init % 6.93/2.26 | % 6.93/2.26 | Equations (53) can reduce 46 to: % 6.93/2.26 | (41) $false % 6.93/2.26 | % 6.93/2.26 |-The branch is then unsatisfiable % 6.93/2.26 % SZS output end Proof for theBenchmark % 6.93/2.26 % 6.93/2.26 1632ms %------------------------------------------------------------------------------