%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n008.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 : Wed Jul 20 17:50:00 EDT 2022 % Result : Theorem 23.81s 6.87s % Output : Proof 36.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 15 03:12:07 EDT 2022 % 0.12/0.33 % CPUTime : % 0.48/0.58 ____ _ % 0.48/0.58 ___ / __ \_____(_)___ ________ __________ % 0.48/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.48/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.48/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.48/0.58 % 0.48/0.58 A Theorem Prover for First-Order Logic % 0.48/0.58 (ePrincess v.1.0) % 0.48/0.58 % 0.48/0.58 (c) Philipp Rümmer, 2009-2015 % 0.48/0.58 (c) Peter Backeman, 2014-2015 % 0.48/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.48/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.48/0.58 Bug reports to peter@backeman.se % 0.48/0.58 % 0.48/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.48/0.58 % 0.48/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.19/1.06 Prover 0: Preprocessing ... % 4.28/1.58 Prover 0: Warning: ignoring some quantifiers % 4.48/1.62 Prover 0: Constructing countermodel ... % 19.72/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 20.33/6.02 Prover 1: Preprocessing ... % 21.19/6.20 Prover 1: Warning: ignoring some quantifiers % 21.19/6.21 Prover 1: Constructing countermodel ... % 23.81/6.87 Prover 1: proved (948ms) % 23.81/6.87 Prover 0: stopped % 23.81/6.87 % 23.81/6.87 No countermodel exists, formula is valid % 23.81/6.87 % SZS status Theorem for theBenchmark % 23.81/6.87 % 23.81/6.87 Generating proof ... Warning: ignoring some quantifiers % 35.23/9.53 found it (size 127) % 35.23/9.53 % 35.23/9.53 % SZS output start Proof for theBenchmark % 35.23/9.53 Assumed formulas after preprocessing and simplification: % 35.23/9.53 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (def = use) & minus(n999, n1) = v0 & minus(pv5, n1) = v1 & a_select3(u_defuse, n2, n0) = use & a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, n0, n0) = use & a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, n4) = use & a_select2(xinit_noise_defuse, n3) = use & a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, n1) = use & a_select2(xinit_noise_defuse, n0) = use & a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, n4) = use & a_select2(xinit_mean_defuse, n3) = use & a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, n1) = use & a_select2(xinit_mean_defuse, n0) = use & a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use & a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = use & a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) = use & a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, n1) = use & a_select2(sigma_defuse, n0) = use & a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & a_select2(rho_defuse, n0) = use & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, v0) = 0 & leq(n0, pv5) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (tptp_mmul(v24, v25) = v26) | ~ (tptp_mmul(v17, v21) = v22) | ~ (tptp_mmul(v16, v22) = v23) | ~ (tptp_mmul(v15, v18) = v19) | ~ (tptp_mmul(v14, v19) = v20) | ~ (tptp_mmul(v13, v26) = v27) | ~ (tptp_madd(v20, v23) = v24) | ~ (tptp_madd(v12, v27) = v28) | ~ (trans(v16) = v21) | ~ (trans(v14) = v18) | ~ (trans(v13) = v25) | ~ (a_select3(v28, v29, v30) = v31) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ((v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v17, v33, v32) = v39 & a_select3(v17, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v15, v33, v32) = v39 & a_select3(v15, v32, v33) = v38 & leq(v33, v11) = 0 & leq(v32, v11) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v12, v33, v32) = v39 & a_select3(v12, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v10) = v35 & leq(v29, v10) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | v36 = v31)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (tptp_const_array2(v17, v18, v16) = v19) | ~ (a_select3(v19, v10, v13) = v20) | ~ (dim(v14, v15) = v18) | ~ (dim(v11, v12) = v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (leq(v14, v13) = v23 & leq(v13, v15) = v24 & leq(v11, v10) = v21 & leq(v10, v12) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) | ~ (tptp_mmul(v12, v15) = v16) | ~ (trans(v12) = v14) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v10) = v23 & leq(v17, v10) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v10) = v22 & leq(v16, v10) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update3(v14, v12, v13, v15) = v16) | ~ (a_select3(v16, v10, v11) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v24 = v15) & a_select3(v14, v18, v19) = v24 & leq(v19, v13) = 0 & leq(v18, v12) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (leq(v11, v13) = v21 & leq(v10, v12) = v19 & leq(n0, v11) = v20 & leq(n0, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v10 | v13 = v11 | ~ (tptp_update3(v14, v11, v12, v15) = v16) | ~ (a_select3(v16, v13, v12) = v17) | ? [v18] : ( ~ (v18 = v10) & a_select3(v14, v13, v12) = v18)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_update3(v11, v14, v14, v15) = v16) | ~ (a_select3(v16, v12, v13) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v10) = 0 & leq(v18, v10) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v16, v13, v12) = v24 & leq(v14, v10) = v23 & leq(v13, v10) = v21 & leq(v12, v10) = v19 & leq(n0, v14) = v22 & leq(n0, v13) = v20 & leq(n0, v12) = v18 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v24 = v17)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (dim(v11, v12) = v14) | ~ (tptp_const_array1(v14, v13) = v15) | ~ (a_select2(v15, v10) = v16) | ? [v17] : ? [v18] : (leq(v11, v10) = v17 & leq(v10, v12) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v10 | v12 = v11 | ~ (tptp_update2(v13, v11, v14) = v15) | ~ (a_select2(v15, v12) = v16) | ? [v17] : ( ~ (v17 = v10) & a_select2(v13, v12) = v17)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_msub(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_madd(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v12, v11, v13) = v14) | ~ (a_select2(v14, v10) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v18 = 0 & v17 = 0 & ~ (v19 = v13) & a_select2(v12, v16) = v19 & leq(v16, v11) = 0 & leq(n0, v16) = 0) | (leq(v10, v11) = v17 & leq(n0, v10) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update3(v10, v11, v12, v13) = v14) | ~ (a_select3(v14, v11, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (tptp_update3(v15, v14, v13, v12) = v11) | ~ (tptp_update3(v15, v14, v13, v12) = v10)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inv(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (trans(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v10, v11, v12) = v13) | ~ (a_select2(v13, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_update2(v14, v13, v12) = v11) | ~ (tptp_update2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (sum(v14, v13, v12) = v11) | ~ (sum(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_const_array2(v14, v13, v12) = v11) | ~ (tptp_const_array2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (a_select3(v14, v13, v12) = v11) | ~ (a_select3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (uniform_int_rnd(v11, v10) = v12) | ~ (leq(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (pred(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (minus(v13, v12) = v11) | ~ (minus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (plus(v13, v12) = v11) | ~ (plus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_mmul(v13, v12) = v11) | ~ (tptp_mmul(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_msub(v13, v12) = v11) | ~ (tptp_msub(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_madd(v13, v12) = v11) | ~ (tptp_madd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (dim(v13, v12) = v11) | ~ (dim(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_const_array1(v13, v12) = v11) | ~ (tptp_const_array1(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (a_select2(v13, v12) = v11) | ~ (a_select2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (uniform_int_rnd(v13, v12) = v11) | ~ (uniform_int_rnd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v10, v11) = v12) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (inv(v12) = v11) | ~ (inv(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (trans(v12) = v11) | ~ (trans(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (succ(v12) = v11) | ~ (succ(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (pred(v12) = v11) | ~ (pred(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (minus(v10, v11) = v12) | ~ (leq(v12, v10) = 0) | leq(n0, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (a_select3(z_defuse, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (a_select3(u_defuse, v10, v11) = v17 & leq(v11, pv5) = v16 & leq(v10, n2) = v15 & leq(n0, v11) = v14 & leq(n0, v10) = v13 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | (v17 = use & v12 = use)))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (uniform_int_rnd(v11, v10) = v12) | ? [v13] : ? [v14] : (leq(n0, v12) = v14 & leq(n0, v10) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | ~ (gt(v12, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (leq(v12, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | ~ (leq(v10, v12) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : (v11 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = n0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (minus(v10, n1) = v11) | pred(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(v10, n5) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n4) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n3) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n2) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n1) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(n5, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n4, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n3, v10) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n2, v10) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n1, v10) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | pred(v11) = v10) & ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | succ(v11) = v10) & ! [v10] : ! [v11] : ( ~ (geq(v10, v11) = 0) | leq(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (leq(v11, v1) = 0) | ~ (leq(v10, n2) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (a_select3(z_defuse, v10, v11) = v15 & a_select3(u_defuse, v10, v11) = v14 & leq(n0, v11) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | (v15 = use & v14 = use)))) & ! [v10] : ! [v11] : ( ~ (gt(v11, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : (v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n5) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n4) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n3) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n2) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n1 | v10 = n0 | ~ (leq(v10, n1) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n0 | ~ (leq(n0, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(v10, n0) = v11)) & ! [v10] : ~ (gt(v10, v10) = 0) & ((v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & a_select3(z_defuse, v2, v3) = v9 & a_select3(u_defuse, v2, v3) = v8 & leq(v3, v1) = 0 & leq(v2, n2) = 0 & leq(n0, v3) = 0 & leq(n0, v2) = 0 & ( ~ (v9 = use) | ~ (v8 = use))) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & a_select3(z_defuse, v2, v3) = v9 & a_select3(u_defuse, v2, v3) = v8 & leq(v3, pv5) = 0 & leq(v2, n2) = 0 & leq(n0, v3) = 0 & leq(n0, v2) = 0 & ( ~ (v9 = use) | ~ (v8 = use))))) % 35.54/9.63 | 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, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields: % 35.54/9.63 | (1) ~ (def = use) & minus(n999, n1) = all_0_9_9 & minus(pv5, n1) = all_0_8_8 & a_select3(u_defuse, n2, n0) = use & a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, n0, n0) = use & a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, n4) = use & a_select2(xinit_noise_defuse, n3) = use & a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, n1) = use & a_select2(xinit_noise_defuse, n0) = use & a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, n4) = use & a_select2(xinit_mean_defuse, n3) = use & a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, n1) = use & a_select2(xinit_mean_defuse, n0) = use & a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use & a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = use & a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) = use & a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, n1) = use & a_select2(sigma_defuse, n0) = use & a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & a_select2(rho_defuse, n0) = use & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, all_0_9_9) = 0 & leq(n0, pv5) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (a_select3(u_defuse, v0, v1) = v7 & leq(v1, pv5) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v7 = use & v2 = use)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_8_8) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(z_defuse, v0, v1) = v5 & a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 = use)))) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ~ (gt(v0, v0) = 0) & ((all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)))) % 35.94/9.67 | % 35.94/9.67 | Applying alpha-rule on (1) yields: % 35.94/9.67 | (2) a_select2(sigma_defuse, n3) = use % 35.94/9.67 | (3) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 35.94/9.67 | (4) gt(n3, n1) = 0 % 35.94/9.67 | (5) a_select3(u_defuse, n1, n0) = use % 35.94/9.67 | (6) leq(pv5, all_0_9_9) = 0 % 35.94/9.67 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) % 35.94/9.67 | (8) a_select2(rho_defuse, n1) = use % 35.94/9.67 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) % 35.94/9.68 | (10) a_select2(xinit_noise_defuse, n0) = use % 35.94/9.68 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) % 35.94/9.68 | (12) gt(n999, n0) = 0 % 35.94/9.68 | (13) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) % 35.94/9.68 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) % 35.94/9.68 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) % 35.94/9.68 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 35.94/9.68 | (17) gt(n999, n4) = 0 % 35.94/9.68 | (18) a_select2(sigma_defuse, n4) = use % 35.94/9.68 | (19) true % 35.94/9.68 | (20) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) % 35.94/9.68 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) % 35.94/9.68 | (22) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) % 35.94/9.68 | (23) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) % 35.94/9.68 | (24) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) % 35.94/9.68 | (25) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) % 35.94/9.68 | (26) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 35.94/9.68 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) % 35.94/9.68 | (28) gt(n5, n3) = 0 % 35.94/9.68 | (29) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 35.94/9.68 | (30) a_select2(sigma_defuse, n2) = use % 35.94/9.68 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) % 35.94/9.68 | (32) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_8_8) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(z_defuse, v0, v1) = v5 & a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 = use)))) % 35.94/9.68 | (33) gt(n2, n0) = 0 % 35.94/9.68 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) % 35.94/9.68 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) % 35.94/9.68 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) % 35.94/9.68 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) % 35.94/9.68 | (38) leq(n0, pv5) = 0 % 35.94/9.68 | (39) a_select2(xinit_noise_defuse, n1) = use % 35.94/9.68 | (40) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 35.94/9.68 | (41) gt(n4, n0) = 0 % 36.04/9.69 | (42) gt(n5, n0) = 0 % 36.04/9.69 | (43) a_select2(xinit_mean_defuse, n1) = use % 36.04/9.69 | (44) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) % 36.04/9.69 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) % 36.04/9.69 | (46) succ(n2) = n3 % 36.04/9.69 | (47) gt(n4, tptp_minus_1) = 0 % 36.04/9.69 | (48) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) % 36.04/9.69 | (49) succ(n4) = n5 % 36.04/9.69 | (50) gt(n1, tptp_minus_1) = 0 % 36.04/9.69 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) % 36.04/9.69 | (52) gt(n999, n2) = 0 % 36.04/9.69 | (53) a_select2(xinit_noise_defuse, n5) = use % 36.04/9.69 | (54) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) % 36.04/9.69 | (55) succ(n0) = n1 % 36.04/9.69 | (56) gt(n4, n1) = 0 % 36.04/9.69 | (57) a_select2(xinit_defuse, n4) = use % 36.04/9.69 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 36.04/9.69 | (59) gt(n999, n3) = 0 % 36.04/9.69 | (60) gt(n5, n4) = 0 % 36.04/9.69 | (61) a_select2(xinit_mean_defuse, n2) = use % 36.04/9.69 | (62) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) % 36.04/9.69 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 36.04/9.69 | (64) a_select2(xinit_noise_defuse, n2) = use % 36.04/9.69 | (65) gt(n2, n1) = 0 % 36.04/9.69 | (66) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 36.04/9.69 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) % 36.04/9.69 | (68) a_select2(xinit_mean_defuse, n4) = use % 36.04/9.69 | (69) gt(n1, n0) = 0 % 36.04/9.69 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) % 36.04/9.69 | (71) gt(n999, n5) = 0 % 36.04/9.69 | (72) gt(n999, tptp_minus_1) = 0 % 36.04/9.69 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) % 36.04/9.69 | (74) succ(n1) = n2 % 36.04/9.69 | (75) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) % 36.04/9.70 | (76) a_select2(sigma_defuse, n5) = use % 36.04/9.70 | (77) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) % 36.04/9.70 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 36.04/9.70 | (79) a_select2(xinit_mean_defuse, n0) = use % 36.04/9.70 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) % 36.04/9.70 | (81) a_select2(xinit_mean_defuse, n3) = use % 36.04/9.70 | (82) a_select2(xinit_noise_defuse, n3) = use % 36.04/9.70 | (83) gt(n999, n1) = 0 % 36.04/9.70 | (84) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 36.04/9.70 | (85) gt(n5, tptp_minus_1) = 0 % 36.04/9.70 | (86) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 36.04/9.70 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 36.04/9.70 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) % 36.04/9.70 | (89) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) % 36.04/9.70 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) % 36.04/9.70 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) % 36.04/9.70 | (92) (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))) % 36.04/9.70 | (93) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) % 36.04/9.71 | (94) a_select2(rho_defuse, n0) = use % 36.04/9.71 | (95) ! [v0] : ~ (gt(v0, v0) = 0) % 36.04/9.71 | (96) minus(pv5, n1) = all_0_8_8 % 36.04/9.71 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) % 36.04/9.71 | (98) gt(n5, n1) = 0 % 36.04/9.71 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (a_select3(u_defuse, v0, v1) = v7 & leq(v1, pv5) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v7 = use & v2 = use)))) % 36.04/9.71 | (100) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) % 36.04/9.71 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) % 36.04/9.71 | (102) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) % 36.04/9.71 | (103) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) % 36.04/9.71 | (104) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 36.04/9.71 | (105) ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 36.04/9.71 | (106) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 36.04/9.71 | (107) minus(n999, n1) = all_0_9_9 % 36.04/9.71 | (108) a_select3(u_defuse, n0, n0) = use % 36.04/9.71 | (109) ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 36.04/9.71 | (110) succ(tptp_minus_1) = n0 % 36.04/9.71 | (111) a_select2(rho_defuse, n2) = use % 36.04/9.71 | (112) gt(n3, n2) = 0 % 36.04/9.71 | (113) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) % 36.04/9.71 | (114) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 36.04/9.71 | (115) succ(n3) = n4 % 36.04/9.71 | (116) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) % 36.04/9.71 | (117) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) % 36.04/9.71 | (118) a_select2(xinit_noise_defuse, n4) = use % 36.04/9.71 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) % 36.04/9.71 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) % 36.04/9.71 | (121) gt(n5, n2) = 0 % 36.04/9.71 | (122) a_select2(sigma_defuse, n1) = use % 36.04/9.71 | (123) a_select2(xinit_defuse, n3) = use % 36.04/9.71 | (124) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) % 36.04/9.72 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) % 36.04/9.72 | (126) a_select2(xinit_mean_defuse, n5) = use % 36.04/9.72 | (127) a_select3(u_defuse, n2, n0) = use % 36.04/9.72 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 36.04/9.72 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) % 36.18/9.72 | (130) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) % 36.18/9.72 | (131) gt(n4, n2) = 0 % 36.18/9.72 | (132) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) % 36.18/9.72 | (133) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 36.18/9.72 | (134) gt(n4, n3) = 0 % 36.18/9.72 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) % 36.18/9.72 | (136) ~ (def = use) % 36.18/9.72 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) % 36.18/9.72 | (138) gt(n2, tptp_minus_1) = 0 % 36.18/9.72 | (139) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) % 36.18/9.72 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) % 36.18/9.72 | (141) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 36.18/9.72 | (142) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 36.18/9.72 | (143) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) % 36.18/9.72 | (144) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) % 36.18/9.72 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 36.18/9.72 | (146) a_select2(sigma_defuse, n0) = use % 36.18/9.72 | (147) gt(n0, tptp_minus_1) = 0 % 36.18/9.72 | (148) gt(n3, tptp_minus_1) = 0 % 36.18/9.72 | (149) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) % 36.18/9.72 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) % 36.18/9.72 | (151) a_select2(xinit_defuse, n5) = use % 36.18/9.72 | (152) gt(n3, n0) = 0 % 36.18/9.72 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (139) with all_0_8_8, pv5 and discharging atoms minus(pv5, n1) = all_0_8_8, yields: % 36.18/9.72 | (154) pred(pv5) = all_0_8_8 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (149) with n0, pv5, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, leq(n0, pv5) = 0, yields: % 36.18/9.72 | (155) gt(pv5, tptp_minus_1) = 0 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (21) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields: % 36.18/9.72 | (156) leq(n2, n2) = 0 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (13) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields: % 36.18/9.72 | (157) leq(n1, n2) = 0 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (13) with n2, tptp_minus_1 and discharging atoms gt(n2, tptp_minus_1) = 0, yields: % 36.18/9.72 | (158) leq(tptp_minus_1, n2) = 0 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (13) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields: % 36.18/9.72 | (159) leq(n0, n2) = 0 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (102) with all_0_8_8, pv5 and discharging atoms pred(pv5) = all_0_8_8, yields: % 36.18/9.72 | (160) succ(all_0_8_8) = pv5 % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (32) with tptp_minus_1, n2 and discharging atoms leq(n2, n2) = 0, yields: % 36.18/9.72 | (161) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n2, tptp_minus_1) = v3 & a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.18/9.72 | % 36.18/9.72 | Instantiating formula (32) with tptp_minus_1, n1 and discharging atoms leq(n1, n2) = 0, yields: % 36.18/9.72 | (162) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n1, tptp_minus_1) = v3 & a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.18/9.73 | % 36.18/9.73 | Instantiating formula (32) with tptp_minus_1, tptp_minus_1 and discharging atoms leq(tptp_minus_1, n2) = 0, yields: % 36.18/9.73 | (163) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v3 & a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.18/9.73 | % 36.18/9.73 | Instantiating formula (32) with tptp_minus_1, n0 and discharging atoms leq(n0, n2) = 0, yields: % 36.18/9.73 | (164) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n0, tptp_minus_1) = v3 & a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.18/9.73 | % 36.18/9.73 | Instantiating formula (21) with pv5, all_0_8_8, tptp_minus_1 and discharging atoms succ(all_0_8_8) = pv5, gt(pv5, tptp_minus_1) = 0, yields: % 36.18/9.73 | (165) leq(tptp_minus_1, all_0_8_8) = 0 % 36.18/9.73 | % 36.18/9.73 +-Applying beta-rule and splitting (161), into two cases. % 36.18/9.73 |-Branch one: % 36.18/9.73 | (166) ~ (leq(tptp_minus_1, all_0_8_8) = 0) % 36.18/9.73 | % 36.18/9.73 | Using (165) and (166) yields: % 36.18/9.73 | (167) $false % 36.18/9.73 | % 36.18/9.73 |-The branch is then unsatisfiable % 36.18/9.73 |-Branch two: % 36.18/9.73 | (165) leq(tptp_minus_1, all_0_8_8) = 0 % 36.18/9.73 | (169) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n2, tptp_minus_1) = v3 & a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.18/9.73 | % 36.18/9.73 | Instantiating (169) with all_144_0_29, all_144_1_30, all_144_2_31, all_144_3_32 yields: % 36.18/9.73 | (170) a_select3(z_defuse, n2, tptp_minus_1) = all_144_0_29 & a_select3(u_defuse, n2, tptp_minus_1) = all_144_1_30 & leq(n0, n2) = all_144_3_32 & leq(n0, tptp_minus_1) = all_144_2_31 & ( ~ (all_144_2_31 = 0) | ~ (all_144_3_32 = 0) | (all_144_0_29 = use & all_144_1_30 = use)) % 36.18/9.73 | % 36.18/9.73 | Applying alpha-rule on (170) yields: % 36.18/9.73 | (171) a_select3(z_defuse, n2, tptp_minus_1) = all_144_0_29 % 36.18/9.73 | (172) leq(n0, tptp_minus_1) = all_144_2_31 % 36.22/9.73 | (173) ~ (all_144_2_31 = 0) | ~ (all_144_3_32 = 0) | (all_144_0_29 = use & all_144_1_30 = use) % 36.22/9.73 | (174) a_select3(u_defuse, n2, tptp_minus_1) = all_144_1_30 % 36.22/9.73 | (175) leq(n0, n2) = all_144_3_32 % 36.22/9.73 | % 36.22/9.73 +-Applying beta-rule and splitting (164), into two cases. % 36.22/9.73 |-Branch one: % 36.22/9.73 | (166) ~ (leq(tptp_minus_1, all_0_8_8) = 0) % 36.22/9.73 | % 36.22/9.73 | Using (165) and (166) yields: % 36.22/9.73 | (167) $false % 36.22/9.73 | % 36.22/9.73 |-The branch is then unsatisfiable % 36.22/9.73 |-Branch two: % 36.22/9.73 | (165) leq(tptp_minus_1, all_0_8_8) = 0 % 36.22/9.73 | (179) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n0, tptp_minus_1) = v3 & a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.73 | % 36.22/9.73 +-Applying beta-rule and splitting (163), into two cases. % 36.22/9.73 |-Branch one: % 36.22/9.73 | (166) ~ (leq(tptp_minus_1, all_0_8_8) = 0) % 36.22/9.73 | % 36.22/9.73 | Using (165) and (166) yields: % 36.22/9.73 | (167) $false % 36.22/9.73 | % 36.22/9.73 |-The branch is then unsatisfiable % 36.22/9.73 |-Branch two: % 36.22/9.73 | (165) leq(tptp_minus_1, all_0_8_8) = 0 % 36.22/9.73 | (183) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v3 & a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.73 | % 36.22/9.73 +-Applying beta-rule and splitting (162), into two cases. % 36.22/9.73 |-Branch one: % 36.22/9.73 | (166) ~ (leq(tptp_minus_1, all_0_8_8) = 0) % 36.22/9.73 | % 36.22/9.73 | Using (165) and (166) yields: % 36.22/9.73 | (167) $false % 36.22/9.73 | % 36.22/9.73 |-The branch is then unsatisfiable % 36.22/9.73 |-Branch two: % 36.22/9.73 | (165) leq(tptp_minus_1, all_0_8_8) = 0 % 36.22/9.73 | (187) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n1, tptp_minus_1) = v3 & a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.73 | % 36.22/9.73 | Instantiating formula (87) with n0, n2, all_144_3_32, 0 and discharging atoms leq(n0, n2) = all_144_3_32, leq(n0, n2) = 0, yields: % 36.22/9.73 | (188) all_144_3_32 = 0 % 36.22/9.73 | % 36.22/9.73 | From (188) and (175) follows: % 36.22/9.73 | (159) leq(n0, n2) = 0 % 36.22/9.73 | % 36.22/9.73 +-Applying beta-rule and splitting (92), into two cases. % 36.22/9.73 |-Branch one: % 36.22/9.73 | (190) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)) % 36.22/9.73 | % 36.22/9.73 | Applying alpha-rule on (190) yields: % 36.22/9.73 | (191) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 % 36.22/9.73 | (192) leq(all_0_7_7, n2) = 0 % 36.22/9.73 | (193) all_0_2_2 = 0 % 36.22/9.73 | (194) all_0_4_4 = 0 % 36.22/9.73 | (195) leq(n0, all_0_6_6) = 0 % 36.22/9.73 | (196) leq(n0, all_0_7_7) = 0 % 36.22/9.73 | (197) all_0_3_3 = 0 % 36.22/9.73 | (198) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 % 36.22/9.73 | (199) all_0_5_5 = 0 % 36.22/9.73 | (200) leq(all_0_6_6, all_0_8_8) = 0 % 36.22/9.73 | (201) ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use) % 36.22/9.73 | % 36.22/9.73 | Instantiating formula (99) with all_0_0_0, all_0_6_6, all_0_7_7 and discharging atoms a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0, yields: % 36.22/9.73 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (a_select3(u_defuse, all_0_7_7, all_0_6_6) = v4 & leq(all_0_6_6, pv5) = v3 & leq(all_0_7_7, n2) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v4 = use & all_0_0_0 = use))) % 36.22/9.73 | % 36.22/9.73 | Instantiating formula (32) with all_0_6_6, n2 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(n2, n2) = 0, yields: % 36.22/9.73 | (203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n2, all_0_6_6) = v3 & a_select3(u_defuse, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.73 | % 36.22/9.73 | Instantiating formula (32) with all_0_6_6, n1 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(n1, n2) = 0, yields: % 36.22/9.73 | (204) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n1, all_0_6_6) = v3 & a_select3(u_defuse, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.73 | % 36.22/9.73 | Instantiating formula (32) with all_0_6_6, tptp_minus_1 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(tptp_minus_1, n2) = 0, yields: % 36.22/9.73 | (205) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, tptp_minus_1, all_0_6_6) = v3 & a_select3(u_defuse, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (32) with all_0_6_6, n0 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(n0, n2) = 0, yields: % 36.22/9.74 | (206) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n0, all_0_6_6) = v3 & a_select3(u_defuse, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (32) with tptp_minus_1, all_0_7_7 and discharging atoms leq(all_0_7_7, n2) = 0, leq(tptp_minus_1, all_0_8_8) = 0, yields: % 36.22/9.74 | (207) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, all_0_7_7, tptp_minus_1) = v3 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = v2 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (32) with all_0_6_6, all_0_7_7 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(all_0_7_7, n2) = 0, yields: % 36.22/9.74 | (208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, all_0_7_7, all_0_6_6) = v3 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.74 | % 36.22/9.74 | Instantiating (206) with all_387_0_66, all_387_1_67, all_387_2_68, all_387_3_69 yields: % 36.22/9.74 | (209) a_select3(z_defuse, n0, all_0_6_6) = all_387_0_66 & a_select3(u_defuse, n0, all_0_6_6) = all_387_1_67 & leq(n0, all_0_6_6) = all_387_2_68 & leq(n0, n0) = all_387_3_69 & ( ~ (all_387_2_68 = 0) | ~ (all_387_3_69 = 0) | (all_387_0_66 = use & all_387_1_67 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (209) yields: % 36.22/9.74 | (210) leq(n0, n0) = all_387_3_69 % 36.22/9.74 | (211) ~ (all_387_2_68 = 0) | ~ (all_387_3_69 = 0) | (all_387_0_66 = use & all_387_1_67 = use) % 36.22/9.74 | (212) leq(n0, all_0_6_6) = all_387_2_68 % 36.22/9.74 | (213) a_select3(z_defuse, n0, all_0_6_6) = all_387_0_66 % 36.22/9.74 | (214) a_select3(u_defuse, n0, all_0_6_6) = all_387_1_67 % 36.22/9.74 | % 36.22/9.74 | Instantiating (205) with all_389_0_70, all_389_1_71, all_389_2_72, all_389_3_73 yields: % 36.22/9.74 | (215) a_select3(z_defuse, tptp_minus_1, all_0_6_6) = all_389_0_70 & a_select3(u_defuse, tptp_minus_1, all_0_6_6) = all_389_1_71 & leq(n0, all_0_6_6) = all_389_2_72 & leq(n0, tptp_minus_1) = all_389_3_73 & ( ~ (all_389_2_72 = 0) | ~ (all_389_3_73 = 0) | (all_389_0_70 = use & all_389_1_71 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (215) yields: % 36.22/9.74 | (216) ~ (all_389_2_72 = 0) | ~ (all_389_3_73 = 0) | (all_389_0_70 = use & all_389_1_71 = use) % 36.22/9.74 | (217) a_select3(z_defuse, tptp_minus_1, all_0_6_6) = all_389_0_70 % 36.22/9.74 | (218) leq(n0, tptp_minus_1) = all_389_3_73 % 36.22/9.74 | (219) leq(n0, all_0_6_6) = all_389_2_72 % 36.22/9.74 | (220) a_select3(u_defuse, tptp_minus_1, all_0_6_6) = all_389_1_71 % 36.22/9.74 | % 36.22/9.74 | Instantiating (202) with all_391_0_74, all_391_1_75, all_391_2_76, all_391_3_77, all_391_4_78 yields: % 36.22/9.74 | (221) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_391_0_74 & leq(all_0_6_6, pv5) = all_391_1_75 & leq(all_0_7_7, n2) = all_391_2_76 & leq(n0, all_0_6_6) = all_391_3_77 & leq(n0, all_0_7_7) = all_391_4_78 & ( ~ (all_391_1_75 = 0) | ~ (all_391_2_76 = 0) | ~ (all_391_3_77 = 0) | ~ (all_391_4_78 = 0) | (all_391_0_74 = use & all_0_0_0 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (221) yields: % 36.22/9.74 | (222) leq(n0, all_0_6_6) = all_391_3_77 % 36.22/9.74 | (223) leq(n0, all_0_7_7) = all_391_4_78 % 36.22/9.74 | (224) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_391_0_74 % 36.22/9.74 | (225) leq(all_0_6_6, pv5) = all_391_1_75 % 36.22/9.74 | (226) ~ (all_391_1_75 = 0) | ~ (all_391_2_76 = 0) | ~ (all_391_3_77 = 0) | ~ (all_391_4_78 = 0) | (all_391_0_74 = use & all_0_0_0 = use) % 36.22/9.74 | (227) leq(all_0_7_7, n2) = all_391_2_76 % 36.22/9.74 | % 36.22/9.74 | Instantiating (208) with all_393_0_79, all_393_1_80, all_393_2_81, all_393_3_82 yields: % 36.22/9.74 | (228) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_393_0_79 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_393_1_80 & leq(n0, all_0_6_6) = all_393_2_81 & leq(n0, all_0_7_7) = all_393_3_82 & ( ~ (all_393_2_81 = 0) | ~ (all_393_3_82 = 0) | (all_393_0_79 = use & all_393_1_80 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (228) yields: % 36.22/9.74 | (229) ~ (all_393_2_81 = 0) | ~ (all_393_3_82 = 0) | (all_393_0_79 = use & all_393_1_80 = use) % 36.22/9.74 | (230) leq(n0, all_0_7_7) = all_393_3_82 % 36.22/9.74 | (231) leq(n0, all_0_6_6) = all_393_2_81 % 36.22/9.74 | (232) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_393_0_79 % 36.22/9.74 | (233) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_393_1_80 % 36.22/9.74 | % 36.22/9.74 | Instantiating (207) with all_395_0_83, all_395_1_84, all_395_2_85, all_395_3_86 yields: % 36.22/9.74 | (234) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_395_0_83 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_395_1_84 & leq(n0, all_0_7_7) = all_395_3_86 & leq(n0, tptp_minus_1) = all_395_2_85 & ( ~ (all_395_2_85 = 0) | ~ (all_395_3_86 = 0) | (all_395_0_83 = use & all_395_1_84 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (234) yields: % 36.22/9.74 | (235) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_395_0_83 % 36.22/9.74 | (236) a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_395_1_84 % 36.22/9.74 | (237) leq(n0, all_0_7_7) = all_395_3_86 % 36.22/9.74 | (238) ~ (all_395_2_85 = 0) | ~ (all_395_3_86 = 0) | (all_395_0_83 = use & all_395_1_84 = use) % 36.22/9.74 | (239) leq(n0, tptp_minus_1) = all_395_2_85 % 36.22/9.74 | % 36.22/9.74 | Instantiating (204) with all_397_0_87, all_397_1_88, all_397_2_89, all_397_3_90 yields: % 36.22/9.74 | (240) a_select3(z_defuse, n1, all_0_6_6) = all_397_0_87 & a_select3(u_defuse, n1, all_0_6_6) = all_397_1_88 & leq(n0, all_0_6_6) = all_397_2_89 & leq(n0, n1) = all_397_3_90 & ( ~ (all_397_2_89 = 0) | ~ (all_397_3_90 = 0) | (all_397_0_87 = use & all_397_1_88 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (240) yields: % 36.22/9.74 | (241) a_select3(z_defuse, n1, all_0_6_6) = all_397_0_87 % 36.22/9.74 | (242) leq(n0, n1) = all_397_3_90 % 36.22/9.74 | (243) leq(n0, all_0_6_6) = all_397_2_89 % 36.22/9.74 | (244) a_select3(u_defuse, n1, all_0_6_6) = all_397_1_88 % 36.22/9.74 | (245) ~ (all_397_2_89 = 0) | ~ (all_397_3_90 = 0) | (all_397_0_87 = use & all_397_1_88 = use) % 36.22/9.74 | % 36.22/9.74 | Instantiating (203) with all_399_0_91, all_399_1_92, all_399_2_93, all_399_3_94 yields: % 36.22/9.74 | (246) a_select3(z_defuse, n2, all_0_6_6) = all_399_0_91 & a_select3(u_defuse, n2, all_0_6_6) = all_399_1_92 & leq(n0, all_0_6_6) = all_399_2_93 & leq(n0, n2) = all_399_3_94 & ( ~ (all_399_2_93 = 0) | ~ (all_399_3_94 = 0) | (all_399_0_91 = use & all_399_1_92 = use)) % 36.22/9.74 | % 36.22/9.74 | Applying alpha-rule on (246) yields: % 36.22/9.74 | (247) a_select3(u_defuse, n2, all_0_6_6) = all_399_1_92 % 36.22/9.74 | (248) leq(n0, n2) = all_399_3_94 % 36.22/9.74 | (249) a_select3(z_defuse, n2, all_0_6_6) = all_399_0_91 % 36.22/9.74 | (250) leq(n0, all_0_6_6) = all_399_2_93 % 36.22/9.74 | (251) ~ (all_399_2_93 = 0) | ~ (all_399_3_94 = 0) | (all_399_0_91 = use & all_399_1_92 = use) % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (153) with z_defuse, all_0_7_7, all_0_6_6, all_393_0_79, all_0_0_0 and discharging atoms a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_393_0_79, a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0, yields: % 36.22/9.74 | (252) all_393_0_79 = all_0_0_0 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (153) with u_defuse, all_0_7_7, all_0_6_6, all_393_1_80, all_0_1_1 and discharging atoms a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_393_1_80, a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1, yields: % 36.22/9.74 | (253) all_393_1_80 = all_0_1_1 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (153) with u_defuse, all_0_7_7, all_0_6_6, all_391_0_74, all_393_1_80 and discharging atoms a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_393_1_80, a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_391_0_74, yields: % 36.22/9.74 | (254) all_393_1_80 = all_391_0_74 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_397_2_89, all_399_2_93 and discharging atoms leq(n0, all_0_6_6) = all_399_2_93, leq(n0, all_0_6_6) = all_397_2_89, yields: % 36.22/9.74 | (255) all_399_2_93 = all_397_2_89 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_393_2_81, all_399_2_93 and discharging atoms leq(n0, all_0_6_6) = all_399_2_93, leq(n0, all_0_6_6) = all_393_2_81, yields: % 36.22/9.74 | (256) all_399_2_93 = all_393_2_81 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_391_3_77, 0 and discharging atoms leq(n0, all_0_6_6) = all_391_3_77, leq(n0, all_0_6_6) = 0, yields: % 36.22/9.74 | (257) all_391_3_77 = 0 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_391_3_77, all_399_2_93 and discharging atoms leq(n0, all_0_6_6) = all_399_2_93, leq(n0, all_0_6_6) = all_391_3_77, yields: % 36.22/9.74 | (258) all_399_2_93 = all_391_3_77 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_389_2_72, all_399_2_93 and discharging atoms leq(n0, all_0_6_6) = all_399_2_93, leq(n0, all_0_6_6) = all_389_2_72, yields: % 36.22/9.74 | (259) all_399_2_93 = all_389_2_72 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_6_6, all_387_2_68, all_391_3_77 and discharging atoms leq(n0, all_0_6_6) = all_391_3_77, leq(n0, all_0_6_6) = all_387_2_68, yields: % 36.22/9.74 | (260) all_391_3_77 = all_387_2_68 % 36.22/9.74 | % 36.22/9.74 | Instantiating formula (87) with n0, all_0_7_7, all_395_3_86, 0 and discharging atoms leq(n0, all_0_7_7) = all_395_3_86, leq(n0, all_0_7_7) = 0, yields: % 36.22/9.75 | (261) all_395_3_86 = 0 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with n0, all_0_7_7, all_393_3_82, all_395_3_86 and discharging atoms leq(n0, all_0_7_7) = all_395_3_86, leq(n0, all_0_7_7) = all_393_3_82, yields: % 36.22/9.75 | (262) all_395_3_86 = all_393_3_82 % 36.22/9.75 | % 36.22/9.75 | Combining equations (256,255) yields a new equation: % 36.22/9.75 | (263) all_397_2_89 = all_393_2_81 % 36.22/9.75 | % 36.22/9.75 | Combining equations (258,255) yields a new equation: % 36.22/9.75 | (264) all_397_2_89 = all_391_3_77 % 36.22/9.75 | % 36.22/9.75 | Combining equations (259,255) yields a new equation: % 36.22/9.75 | (265) all_397_2_89 = all_389_2_72 % 36.22/9.75 | % 36.22/9.75 | Combining equations (264,263) yields a new equation: % 36.22/9.75 | (266) all_393_2_81 = all_391_3_77 % 36.22/9.75 | % 36.22/9.75 | Combining equations (265,263) yields a new equation: % 36.22/9.75 | (267) all_393_2_81 = all_389_2_72 % 36.22/9.75 | % 36.22/9.75 | Combining equations (261,262) yields a new equation: % 36.22/9.75 | (268) all_393_3_82 = 0 % 36.22/9.75 | % 36.22/9.75 | Combining equations (253,254) yields a new equation: % 36.22/9.75 | (269) all_391_0_74 = all_0_1_1 % 36.22/9.75 | % 36.22/9.75 | Combining equations (266,267) yields a new equation: % 36.22/9.75 | (270) all_391_3_77 = all_389_2_72 % 36.22/9.75 | % 36.22/9.75 | Simplifying 270 yields: % 36.22/9.75 | (271) all_391_3_77 = all_389_2_72 % 36.22/9.75 | % 36.22/9.75 | Combining equations (257,271) yields a new equation: % 36.22/9.75 | (272) all_389_2_72 = 0 % 36.22/9.75 | % 36.22/9.75 | Combining equations (260,271) yields a new equation: % 36.22/9.75 | (273) all_389_2_72 = all_387_2_68 % 36.22/9.75 | % 36.22/9.75 | Combining equations (272,273) yields a new equation: % 36.22/9.75 | (274) all_387_2_68 = 0 % 36.22/9.75 | % 36.22/9.75 | Combining equations (274,273) yields a new equation: % 36.22/9.75 | (272) all_389_2_72 = 0 % 36.22/9.75 | % 36.22/9.75 | Combining equations (272,267) yields a new equation: % 36.22/9.75 | (276) all_393_2_81 = 0 % 36.22/9.75 | % 36.22/9.75 | Combining equations (269,254) yields a new equation: % 36.22/9.75 | (253) all_393_1_80 = all_0_1_1 % 36.22/9.75 | % 36.22/9.75 +-Applying beta-rule and splitting (229), into two cases. % 36.22/9.75 |-Branch one: % 36.22/9.75 | (278) ~ (all_393_2_81 = 0) % 36.22/9.75 | % 36.22/9.75 | Equations (276) can reduce 278 to: % 36.22/9.75 | (279) $false % 36.22/9.75 | % 36.22/9.75 |-The branch is then unsatisfiable % 36.22/9.75 |-Branch two: % 36.22/9.75 | (276) all_393_2_81 = 0 % 36.22/9.75 | (281) ~ (all_393_3_82 = 0) | (all_393_0_79 = use & all_393_1_80 = use) % 36.22/9.75 | % 36.22/9.75 +-Applying beta-rule and splitting (281), into two cases. % 36.22/9.75 |-Branch one: % 36.22/9.75 | (282) ~ (all_393_3_82 = 0) % 36.22/9.75 | % 36.22/9.75 | Equations (268) can reduce 282 to: % 36.22/9.75 | (279) $false % 36.22/9.75 | % 36.22/9.75 |-The branch is then unsatisfiable % 36.22/9.75 |-Branch two: % 36.22/9.75 | (268) all_393_3_82 = 0 % 36.22/9.75 | (285) all_393_0_79 = use & all_393_1_80 = use % 36.22/9.75 | % 36.22/9.75 | Applying alpha-rule on (285) yields: % 36.22/9.75 | (286) all_393_0_79 = use % 36.22/9.75 | (287) all_393_1_80 = use % 36.22/9.75 | % 36.22/9.75 | Combining equations (286,252) yields a new equation: % 36.22/9.75 | (288) all_0_0_0 = use % 36.22/9.75 | % 36.22/9.75 | Combining equations (253,287) yields a new equation: % 36.22/9.75 | (289) all_0_1_1 = use % 36.22/9.75 | % 36.22/9.75 | Simplifying 289 yields: % 36.22/9.75 | (290) all_0_1_1 = use % 36.22/9.75 | % 36.22/9.75 +-Applying beta-rule and splitting (201), into two cases. % 36.22/9.75 |-Branch one: % 36.22/9.75 | (291) ~ (all_0_0_0 = use) % 36.22/9.75 | % 36.22/9.75 | Equations (288) can reduce 291 to: % 36.22/9.75 | (279) $false % 36.22/9.75 | % 36.22/9.75 |-The branch is then unsatisfiable % 36.22/9.75 |-Branch two: % 36.22/9.75 | (288) all_0_0_0 = use % 36.22/9.75 | (294) ~ (all_0_1_1 = use) % 36.22/9.75 | % 36.22/9.75 | Equations (290) can reduce 294 to: % 36.22/9.75 | (279) $false % 36.22/9.75 | % 36.22/9.75 |-The branch is then unsatisfiable % 36.22/9.75 |-Branch two: % 36.22/9.75 | (296) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)) % 36.22/9.75 | % 36.22/9.75 | Applying alpha-rule on (296) yields: % 36.22/9.75 | (191) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 % 36.22/9.75 | (192) leq(all_0_7_7, n2) = 0 % 36.22/9.75 | (193) all_0_2_2 = 0 % 36.22/9.75 | (194) all_0_4_4 = 0 % 36.22/9.75 | (195) leq(n0, all_0_6_6) = 0 % 36.22/9.75 | (196) leq(n0, all_0_7_7) = 0 % 36.22/9.75 | (197) all_0_3_3 = 0 % 36.22/9.75 | (198) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 % 36.22/9.75 | (199) all_0_5_5 = 0 % 36.22/9.75 | (306) leq(all_0_6_6, pv5) = 0 % 36.22/9.75 | (201) ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use) % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (99) with all_0_0_0, all_0_6_6, all_0_7_7 and discharging atoms a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0, yields: % 36.22/9.75 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (a_select3(u_defuse, all_0_7_7, all_0_6_6) = v4 & leq(all_0_6_6, pv5) = v3 & leq(all_0_7_7, n2) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v4 = use & all_0_0_0 = use))) % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (32) with tptp_minus_1, all_0_7_7 and discharging atoms leq(all_0_7_7, n2) = 0, leq(tptp_minus_1, all_0_8_8) = 0, yields: % 36.22/9.75 | (207) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, all_0_7_7, tptp_minus_1) = v3 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = v2 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use))) % 36.22/9.75 | % 36.22/9.75 | Instantiating (202) with all_387_0_123, all_387_1_124, all_387_2_125, all_387_3_126, all_387_4_127 yields: % 36.22/9.75 | (310) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_387_0_123 & leq(all_0_6_6, pv5) = all_387_1_124 & leq(all_0_7_7, n2) = all_387_2_125 & leq(n0, all_0_6_6) = all_387_3_126 & leq(n0, all_0_7_7) = all_387_4_127 & ( ~ (all_387_1_124 = 0) | ~ (all_387_2_125 = 0) | ~ (all_387_3_126 = 0) | ~ (all_387_4_127 = 0) | (all_387_0_123 = use & all_0_0_0 = use)) % 36.22/9.75 | % 36.22/9.75 | Applying alpha-rule on (310) yields: % 36.22/9.75 | (311) leq(all_0_6_6, pv5) = all_387_1_124 % 36.22/9.75 | (312) leq(n0, all_0_6_6) = all_387_3_126 % 36.22/9.75 | (313) ~ (all_387_1_124 = 0) | ~ (all_387_2_125 = 0) | ~ (all_387_3_126 = 0) | ~ (all_387_4_127 = 0) | (all_387_0_123 = use & all_0_0_0 = use) % 36.22/9.75 | (314) leq(all_0_7_7, n2) = all_387_2_125 % 36.22/9.75 | (315) leq(n0, all_0_7_7) = all_387_4_127 % 36.22/9.75 | (316) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_387_0_123 % 36.22/9.75 | % 36.22/9.75 | Instantiating (207) with all_389_0_128, all_389_1_129, all_389_2_130, all_389_3_131 yields: % 36.22/9.75 | (317) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_389_0_128 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_389_1_129 & leq(n0, all_0_7_7) = all_389_3_131 & leq(n0, tptp_minus_1) = all_389_2_130 & ( ~ (all_389_2_130 = 0) | ~ (all_389_3_131 = 0) | (all_389_0_128 = use & all_389_1_129 = use)) % 36.22/9.75 | % 36.22/9.75 | Applying alpha-rule on (317) yields: % 36.22/9.75 | (318) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_389_0_128 % 36.22/9.75 | (319) a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_389_1_129 % 36.22/9.75 | (320) leq(n0, tptp_minus_1) = all_389_2_130 % 36.22/9.75 | (321) ~ (all_389_2_130 = 0) | ~ (all_389_3_131 = 0) | (all_389_0_128 = use & all_389_1_129 = use) % 36.22/9.75 | (322) leq(n0, all_0_7_7) = all_389_3_131 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (153) with u_defuse, all_0_7_7, all_0_6_6, all_387_0_123, all_0_1_1 and discharging atoms a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_387_0_123, a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1, yields: % 36.22/9.75 | (323) all_387_0_123 = all_0_1_1 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with all_0_6_6, pv5, all_387_1_124, 0 and discharging atoms leq(all_0_6_6, pv5) = all_387_1_124, leq(all_0_6_6, pv5) = 0, yields: % 36.22/9.75 | (324) all_387_1_124 = 0 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with all_0_7_7, n2, all_387_2_125, 0 and discharging atoms leq(all_0_7_7, n2) = all_387_2_125, leq(all_0_7_7, n2) = 0, yields: % 36.22/9.75 | (325) all_387_2_125 = 0 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with n0, all_0_6_6, all_387_3_126, 0 and discharging atoms leq(n0, all_0_6_6) = all_387_3_126, leq(n0, all_0_6_6) = 0, yields: % 36.22/9.75 | (326) all_387_3_126 = 0 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with n0, all_0_7_7, all_389_3_131, 0 and discharging atoms leq(n0, all_0_7_7) = all_389_3_131, leq(n0, all_0_7_7) = 0, yields: % 36.22/9.75 | (327) all_389_3_131 = 0 % 36.22/9.75 | % 36.22/9.75 | Instantiating formula (87) with n0, all_0_7_7, all_387_4_127, all_389_3_131 and discharging atoms leq(n0, all_0_7_7) = all_389_3_131, leq(n0, all_0_7_7) = all_387_4_127, yields: % 36.22/9.76 | (328) all_389_3_131 = all_387_4_127 % 36.22/9.76 | % 36.22/9.76 | Combining equations (327,328) yields a new equation: % 36.22/9.76 | (329) all_387_4_127 = 0 % 36.22/9.76 | % 36.22/9.76 +-Applying beta-rule and splitting (313), into two cases. % 36.22/9.76 |-Branch one: % 36.22/9.76 | (330) ~ (all_387_1_124 = 0) % 36.22/9.76 | % 36.22/9.76 | Equations (324) can reduce 330 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 |-Branch two: % 36.22/9.76 | (324) all_387_1_124 = 0 % 36.22/9.76 | (333) ~ (all_387_2_125 = 0) | ~ (all_387_3_126 = 0) | ~ (all_387_4_127 = 0) | (all_387_0_123 = use & all_0_0_0 = use) % 36.22/9.76 | % 36.22/9.76 +-Applying beta-rule and splitting (333), into two cases. % 36.22/9.76 |-Branch one: % 36.22/9.76 | (334) ~ (all_387_2_125 = 0) % 36.22/9.76 | % 36.22/9.76 | Equations (325) can reduce 334 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 |-Branch two: % 36.22/9.76 | (325) all_387_2_125 = 0 % 36.22/9.76 | (337) ~ (all_387_3_126 = 0) | ~ (all_387_4_127 = 0) | (all_387_0_123 = use & all_0_0_0 = use) % 36.22/9.76 | % 36.22/9.76 +-Applying beta-rule and splitting (337), into two cases. % 36.22/9.76 |-Branch one: % 36.22/9.76 | (338) ~ (all_387_3_126 = 0) % 36.22/9.76 | % 36.22/9.76 | Equations (326) can reduce 338 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 |-Branch two: % 36.22/9.76 | (326) all_387_3_126 = 0 % 36.22/9.76 | (341) ~ (all_387_4_127 = 0) | (all_387_0_123 = use & all_0_0_0 = use) % 36.22/9.76 | % 36.22/9.76 +-Applying beta-rule and splitting (341), into two cases. % 36.22/9.76 |-Branch one: % 36.22/9.76 | (342) ~ (all_387_4_127 = 0) % 36.22/9.76 | % 36.22/9.76 | Equations (329) can reduce 342 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 |-Branch two: % 36.22/9.76 | (329) all_387_4_127 = 0 % 36.22/9.76 | (345) all_387_0_123 = use & all_0_0_0 = use % 36.22/9.76 | % 36.22/9.76 | Applying alpha-rule on (345) yields: % 36.22/9.76 | (346) all_387_0_123 = use % 36.22/9.76 | (288) all_0_0_0 = use % 36.22/9.76 | % 36.22/9.76 | Combining equations (346,323) yields a new equation: % 36.22/9.76 | (290) all_0_1_1 = use % 36.22/9.76 | % 36.22/9.76 +-Applying beta-rule and splitting (201), into two cases. % 36.22/9.76 |-Branch one: % 36.22/9.76 | (291) ~ (all_0_0_0 = use) % 36.22/9.76 | % 36.22/9.76 | Equations (288) can reduce 291 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 |-Branch two: % 36.22/9.76 | (288) all_0_0_0 = use % 36.22/9.76 | (294) ~ (all_0_1_1 = use) % 36.22/9.76 | % 36.22/9.76 | Equations (290) can reduce 294 to: % 36.22/9.76 | (279) $false % 36.22/9.76 | % 36.22/9.76 |-The branch is then unsatisfiable % 36.22/9.76 % SZS output end Proof for theBenchmark % 36.22/9.76 % 36.22/9.76 9166ms %------------------------------------------------------------------------------