%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWV027+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.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 17:49:46 EDT 2022 % Result : Theorem 25.80s 7.27s % Output : Proof 51.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV027+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 05:36:24 EDT 2022 % 0.12/0.34 % CPUTime : % 0.59/0.59 ____ _ % 0.59/0.59 ___ / __ \_____(_)___ ________ __________ % 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.59/0.59 % 0.59/0.59 A Theorem Prover for First-Order Logic % 0.59/0.59 (ePrincess v.1.0) % 0.59/0.59 % 0.59/0.59 (c) Philipp Rümmer, 2009-2015 % 0.59/0.59 (c) Peter Backeman, 2014-2015 % 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.59 Bug reports to peter@backeman.se % 0.59/0.59 % 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.59 % 0.59/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.75/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.22/1.10 Prover 0: Preprocessing ... % 3.95/1.61 Prover 0: Warning: ignoring some quantifiers % 4.33/1.64 Prover 0: Constructing countermodel ... % 20.09/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 20.47/6.06 Prover 1: Preprocessing ... % 21.37/6.27 Prover 1: Warning: ignoring some quantifiers % 21.37/6.28 Prover 1: Constructing countermodel ... % 25.80/7.27 Prover 1: proved (1331ms) % 25.80/7.27 Prover 0: stopped % 25.80/7.27 % 25.80/7.27 No countermodel exists, formula is valid % 25.80/7.27 % SZS status Theorem for theBenchmark % 25.80/7.27 % 25.80/7.27 Generating proof ... Warning: ignoring some quantifiers % 50.36/15.85 found it (size 168) % 50.36/15.85 % 50.36/15.85 % SZS output start Proof for theBenchmark % 50.36/15.85 Assumed formulas after preprocessing and simplification: % 50.36/15.85 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & minus(n3, n1) = v2 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv20, v1) = 0 & leq(pv19, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v3 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, 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 & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (tptp_mmul(v25, v26) = v27) | ~ (tptp_mmul(v18, v22) = v23) | ~ (tptp_mmul(v17, v23) = v24) | ~ (tptp_mmul(v16, v19) = v20) | ~ (tptp_mmul(v15, v20) = v21) | ~ (tptp_mmul(v14, v27) = v28) | ~ (tptp_madd(v21, v24) = v25) | ~ (tptp_madd(v13, v28) = v29) | ~ (trans(v17) = v22) | ~ (trans(v15) = v19) | ~ (trans(v14) = v26) | ~ (a_select3(v29, v30, v31) = v32) | ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ((v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v18, v34, v33) = v40 & a_select3(v18, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v16, v34, v33) = v40 & a_select3(v16, v33, v34) = v39 & leq(v34, v12) = 0 & leq(v33, v12) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v13, v34, v33) = v40 & a_select3(v13, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (a_select3(v29, v31, v30) = v37 & leq(v31, v11) = v36 & leq(v30, v11) = v34 & leq(n0, v31) = v35 & leq(n0, v30) = v33 & ( ~ (v36 = 0) | ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | v37 = v32)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (tptp_const_array2(v18, v19, v17) = v20) | ~ (a_select3(v20, v11, v14) = v21) | ~ (dim(v15, v16) = v19) | ~ (dim(v12, v13) = v18) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (leq(v15, v14) = v24 & leq(v14, v16) = v25 & leq(v12, v11) = v22 & leq(v11, v13) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v13, v16) = v17) | ~ (trans(v13) = v15) | ~ (a_select3(v17, v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v14, v22, v21) = v28 & a_select3(v14, v21, v22) = v27 & leq(v22, v12) = 0 & leq(v21, v12) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v17, v19, v18) = v25 & leq(v19, v11) = v24 & leq(v18, v11) = v22 & leq(n0, v19) = v23 & leq(n0, v18) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v25 = v20)))) & ? [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, v11) = v23 & leq(v17, v11) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update3(v15, v13, v14, v16) = v17) | ~ (a_select3(v17, v11, v12) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v25 = v16) & a_select3(v15, v19, v20) = v25 & leq(v20, v14) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (leq(v12, v14) = v22 & leq(v11, v13) = v20 & leq(n0, v12) = v21 & leq(n0, v11) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v11 | v14 = v12 | ~ (tptp_update3(v15, v12, v13, v16) = v17) | ~ (a_select3(v17, v14, v13) = v18) | ? [v19] : ( ~ (v19 = v11) & a_select3(v15, v14, v13) = v19)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_update3(v12, v15, v15, v16) = v17) | ~ (a_select3(v17, v13, v14) = 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, v11) = 0 & leq(v19, v11) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v17, v14, v13) = v25 & leq(v15, v11) = v24 & leq(v14, v11) = v22 & leq(v13, v11) = v20 & leq(n0, v15) = v23 & leq(n0, v14) = v21 & leq(n0, v13) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v25 = v18)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (dim(v12, v13) = v15) | ~ (tptp_const_array1(v15, v14) = v16) | ~ (a_select2(v16, v11) = v17) | ? [v18] : ? [v19] : (leq(v12, v11) = v18 & leq(v11, v13) = v19 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v11 | v13 = v12 | ~ (tptp_update2(v14, v12, v15) = v16) | ~ (a_select2(v16, v13) = v17) | ? [v18] : ( ~ (v18 = v11) & a_select2(v14, v13) = v18)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_msub(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_madd(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update2(v13, v12, v14) = v15) | ~ (a_select2(v15, v11) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v19 = 0 & v18 = 0 & ~ (v20 = v14) & a_select2(v13, v17) = v20 & leq(v17, v12) = 0 & leq(n0, v17) = 0) | (leq(v11, v12) = v18 & leq(n0, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update3(v11, v12, v13, v14) = v15) | ~ (a_select3(v15, v12, v13) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (tptp_update3(v16, v15, v14, v13) = v12) | ~ (tptp_update3(v16, v15, v14, v13) = v11)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (inv(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, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (trans(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, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v11, v12, v13) = v14) | ~ (a_select2(v14, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v11, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_update2(v15, v14, v13) = v12) | ~ (tptp_update2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (sum(v15, v14, v13) = v12) | ~ (sum(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_const_array2(v15, v14, v13) = v12) | ~ (tptp_const_array2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (a_select3(v15, v14, v13) = v12) | ~ (a_select3(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (uniform_int_rnd(v12, v11) = v13) | ~ (leq(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (gt(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (pred(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (gt(v11, v13) = v14) | ~ (gt(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (minus(v14, v13) = v12) | ~ (minus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (plus(v14, v13) = v12) | ~ (plus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_mmul(v14, v13) = v12) | ~ (tptp_mmul(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_msub(v14, v13) = v12) | ~ (tptp_msub(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_madd(v14, v13) = v12) | ~ (tptp_madd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (dim(v14, v13) = v12) | ~ (dim(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_const_array1(v14, v13) = v12) | ~ (tptp_const_array1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (a_select2(v14, v13) = v12) | ~ (a_select2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (uniform_int_rnd(v14, v13) = v12) | ~ (uniform_int_rnd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (geq(v14, v13) = v12) | ~ (geq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (lt(v14, v13) = v12) | ~ (lt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (leq(v14, v13) = v12) | ~ (leq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (gt(v14, v13) = v12) | ~ (gt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = init | ~ (a_select3(simplex7_init, v12, v11) = v13) | ~ (leq(v11, n2) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & leq(n0, v11) = v14) | (leq(v12, n3) = v15 & leq(n0, v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v12, v11) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v11, v12) = v13) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v11) = v13)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (inv(v13) = v12) | ~ (inv(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (trans(v13) = v12) | ~ (trans(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (succ(v13) = v12) | ~ (succ(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (pred(v13) = v12) | ~ (pred(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (minus(v11, v12) = v13) | ~ (leq(v13, v11) = 0) | leq(n0, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (uniform_int_rnd(v12, v11) = v13) | ? [v14] : ? [v15] : (leq(n0, v13) = v15 & leq(n0, v11) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v12) = v13) | ~ (gt(v13, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (leq(v13, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (pred(v12) = v13) | ~ (leq(v11, v13) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : (v12 = init | ~ (a_select2(s_center7_init, v11) = v12) | ? [v13] : ? [v14] : (leq(v11, n2) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = init | ~ (a_select2(s_values7_init, v11) = v12) | ? [v13] : ? [v14] : (leq(v11, n3) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = n0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v11, v11) = v12)) & ! [v11] : ! [v12] : ( ~ (minus(v11, n1) = v12) | pred(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(v11, n5) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n4) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n3) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n2) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n1) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(n5, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n4, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n3, v11) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n2, v11) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n1, v11) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | pred(v12) = v11) & ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | succ(v12) = v11) & ! [v11] : ! [v12] : ( ~ (geq(v11, v12) = 0) | leq(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (lt(v11, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (gt(v12, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : (v11 = n5 | v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n5) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n4) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n3) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n2) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n1 | v11 = n0 | ~ (leq(v11, n1) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n0 | ~ (leq(n0, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(v11, n0) = v12)) & ! [v11] : ( ~ (leq(v11, v2) = 0) | ? [v12] : ? [v13] : (a_select2(s_try7_init, v11) = v13 & leq(n0, v11) = v12 & ( ~ (v12 = 0) | v13 = init))) & ! [v11] : ~ (gt(v11, v11) = 0) & ( ~ (v3 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v9 = 0 & v8 = 0 & v6 = 0 & v5 = 0 & ~ (v10 = init) & a_select3(simplex7_init, v7, v4) = v10 & leq(v7, n3) = 0 & leq(v4, n2) = 0 & leq(n0, v7) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_try7_init, v4) = v7 & leq(v4, v2) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_center7_init, v4) = v7 & leq(v4, n2) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_values7_init, v4) = v7 & leq(v4, n3) = 0 & leq(n0, v4) = 0) | (v3 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))))) % 50.81/15.94 | 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, all_0_10_10 yields: % 50.81/15.94 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = all_0_9_9 & minus(n410, n1) = all_0_10_10 & minus(n3, n1) = all_0_8_8 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv20, all_0_9_9) = 0 & leq(pv19, all_0_10_10) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_7_7 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, 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 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 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] : ( ~ (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 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 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] : ( ~ (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] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))) % 50.81/15.97 | % 50.81/15.97 | Applying alpha-rule on (1) yields: % 50.81/15.97 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) % 50.81/15.97 | (3) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 50.81/15.97 | (4) succ(n1) = n2 % 50.81/15.97 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) % 50.81/15.97 | (6) succ(n3) = n4 % 50.81/15.97 | (7) gt(n3, tptp_minus_1) = 0 % 50.81/15.97 | (8) ? [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)))) % 50.81/15.98 | (9) succ(n4) = n5 % 50.81/15.98 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 50.81/15.98 | (11) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 50.81/15.98 | (12) gt(loopcounter, n1) = all_0_7_7 % 50.81/15.98 | (13) gt(n5, n1) = 0 % 50.81/15.98 | (14) gt(n410, n4) = 0 % 50.81/15.98 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) % 50.81/15.98 | (16) gt(n5, n4) = 0 % 50.81/15.98 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 50.81/15.98 | (18) gt(n1, n0) = 0 % 50.81/15.98 | (19) ? [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)))) % 50.81/15.98 | (20) gt(n410, n2) = 0 % 50.81/15.98 | (21) ? [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)))) % 50.81/15.98 | (22) gt(n410, n5) = 0 % 50.81/15.98 | (23) gt(n330, n2) = 0 % 50.81/15.98 | (24) gt(n410, tptp_minus_1) = 0 % 50.81/15.98 | (25) gt(n4, n2) = 0 % 50.81/15.98 | (26) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) % 50.81/15.98 | (27) leq(pv1376, n3) = 0 % 50.81/15.98 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) % 50.81/15.98 | (29) gt(n330, n4) = 0 % 50.81/15.98 | (30) gt(n330, n5) = 0 % 50.81/15.98 | (31) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) % 50.81/15.98 | (32) ! [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)))) % 50.81/15.98 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) % 50.81/15.98 | (34) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 50.81/15.98 | (35) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) % 50.81/15.98 | (36) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) % 50.81/15.98 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) % 50.81/15.99 | (38) leq(pv20, all_0_9_9) = 0 % 50.81/15.99 | (39) gt(n330, tptp_minus_1) = 0 % 50.81/15.99 | (40) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 50.81/15.99 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) % 50.81/15.99 | (42) leq(n0, s_sworst7) = 0 % 50.81/15.99 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) % 50.81/15.99 | (44) gt(n2, n1) = 0 % 50.81/15.99 | (45) gt(n2, tptp_minus_1) = 0 % 50.81/15.99 | (46) leq(n0, pv1376) = 0 % 50.81/15.99 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 50.81/15.99 | (48) s_best7_init = init % 50.81/15.99 | (49) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))) % 50.81/15.99 | (50) gt(n410, n0) = 0 % 50.81/15.99 | (51) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) % 50.81/15.99 | (52) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init) % 50.81/15.99 | (53) gt(n3, n0) = 0 % 50.81/15.99 | (54) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 50.81/15.99 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) % 50.81/15.99 | (56) gt(n410, n330) = 0 % 50.81/15.99 | (57) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) % 50.81/15.99 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) % 50.81/15.99 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) % 50.81/15.99 | (60) ? [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)))) % 50.81/15.99 | (61) succ(n2) = n3 % 50.81/15.99 | (62) gt(n410, n3) = 0 % 50.81/15.99 | (63) ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) % 50.81/15.99 | (64) ? [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)))) % 50.81/15.99 | (65) ? [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)))) % 50.81/16.00 | (66) gt(n4, n1) = 0 % 50.81/16.00 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) % 50.81/16.00 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) % 50.81/16.00 | (69) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 50.81/16.00 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) % 50.81/16.00 | (71) leq(pv19, all_0_10_10) = 0 % 50.81/16.00 | (72) gt(n410, n1) = 0 % 50.81/16.00 | (73) true % 50.81/16.00 | (74) ? [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)) % 50.81/16.00 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) % 50.81/16.00 | (76) gt(n5, tptp_minus_1) = 0 % 50.81/16.00 | (77) gt(n3, n2) = 0 % 50.81/16.00 | (78) ? [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)))) % 50.81/16.00 | (79) gt(n330, n1) = 0 % 50.81/16.00 | (80) ! [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))))) % 50.81/16.00 | (81) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 50.81/16.00 | (82) leq(n0, pv20) = 0 % 50.81/16.00 | (83) leq(n0, s_best7) = 0 % 50.81/16.00 | (84) gt(n4, n3) = 0 % 50.81/16.00 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) % 50.81/16.00 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) % 50.81/16.00 | (87) gt(n5, n3) = 0 % 50.81/16.00 | (88) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) % 50.81/16.00 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 50.81/16.00 | (90) ! [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))))) % 50.81/16.00 | (91) leq(s_best7, n3) = 0 % 50.81/16.00 | (92) gt(n4, n0) = 0 % 50.81/16.01 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 50.81/16.01 | (94) ! [v0] : ~ (gt(v0, v0) = 0) % 50.81/16.01 | (95) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) % 50.81/16.01 | (96) leq(s_sworst7, n3) = 0 % 50.81/16.01 | (97) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) % 50.81/16.01 | (98) gt(n5, n0) = 0 % 50.81/16.01 | (99) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 50.81/16.01 | (100) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 50.81/16.01 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) % 50.81/16.01 | (102) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) % 50.81/16.01 | (103) minus(n3, n1) = all_0_8_8 % 50.81/16.01 | (104) leq(n0, pv19) = 0 % 50.81/16.01 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) % 50.81/16.01 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) % 50.81/16.01 | (107) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) % 50.81/16.01 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) % 50.81/16.01 | (109) ! [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)))) % 50.81/16.01 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) % 50.81/16.01 | (111) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) % 50.81/16.01 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 50.81/16.01 | (113) leq(s_worst7, n3) = 0 % 50.81/16.01 | (114) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 50.81/16.01 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) % 50.81/16.01 | (116) s_sworst7_init = init % 50.81/16.01 | (117) succ(n0) = n1 % 50.81/16.01 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) % 50.81/16.01 | (119) gt(n1, tptp_minus_1) = 0 % 50.81/16.01 | (120) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 50.81/16.01 | (121) gt(n330, n3) = 0 % 50.81/16.01 | (122) gt(n5, n2) = 0 % 50.81/16.01 | (123) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) % 50.81/16.01 | (124) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 50.81/16.01 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) % 50.81/16.01 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) % 50.81/16.01 | (127) s_worst7_init = init % 50.81/16.01 | (128) ! [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)) % 50.81/16.01 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) % 50.81/16.02 | (130) minus(n410, n1) = all_0_10_10 % 50.81/16.02 | (131) ! [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)) % 50.81/16.02 | (132) ? [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)) % 50.81/16.02 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) % 50.81/16.02 | (134) gt(n330, n0) = 0 % 50.81/16.02 | (135) gt(n2, n0) = 0 % 50.81/16.02 | (136) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 50.81/16.02 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) % 50.81/16.02 | (138) gt(n4, tptp_minus_1) = 0 % 50.81/16.02 | (139) gt(n3, n1) = 0 % 50.81/16.02 | (140) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 50.81/16.02 | (141) ~ (def = use) % 50.81/16.02 | (142) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) % 50.81/16.02 | (143) ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) % 50.81/16.02 | (144) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 50.81/16.02 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) % 50.81/16.02 | (146) minus(n330, n1) = all_0_9_9 % 50.81/16.02 | (147) succ(tptp_minus_1) = n0 % 50.81/16.02 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 50.81/16.02 | (149) ? [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)))) % 50.81/16.02 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) % 50.81/16.02 | (151) gt(n0, tptp_minus_1) = 0 % 50.81/16.02 | (152) leq(n0, s_worst7) = 0 % 50.81/16.02 | % 51.29/16.02 | Instantiating formula (57) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields: % 51.29/16.02 | (153) pred(n3) = all_0_8_8 % 51.29/16.02 | % 51.29/16.02 | Instantiating formula (36) with n3, n2 and discharging atoms succ(n2) = n3, yields: % 51.29/16.02 | (154) pred(n3) = n2 % 51.29/16.02 | % 51.29/16.02 | Instantiating formula (85) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields: % 51.29/16.02 | (155) all_0_8_8 = n2 % 51.29/16.02 | % 51.29/16.02 +-Applying beta-rule and splitting (52), into two cases. % 51.29/16.02 |-Branch one: % 51.29/16.02 | (156) ~ (all_0_7_7 = 0) % 51.29/16.02 | % 51.29/16.02 +-Applying beta-rule and splitting (49), into two cases. % 51.29/16.02 |-Branch one: % 51.29/16.02 | (157) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.02 | % 51.29/16.02 +-Applying beta-rule and splitting (157), into two cases. % 51.29/16.02 |-Branch one: % 51.29/16.02 | (158) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (158), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (159) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (159), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (160) all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.03 | % 51.29/16.03 | Applying alpha-rule on (160) yields: % 51.29/16.03 | (161) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 51.29/16.03 | (162) all_0_1_1 = 0 % 51.29/16.03 | (163) all_0_4_4 = 0 % 51.29/16.03 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.03 | (165) leq(all_0_3_3, n3) = 0 % 51.29/16.03 | (166) leq(n0, all_0_3_3) = 0 % 51.29/16.03 | (167) all_0_5_5 = 0 % 51.29/16.03 | (168) all_0_2_2 = 0 % 51.29/16.03 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.03 | (170) ~ (all_0_0_0 = init) % 51.29/16.03 | % 51.29/16.03 | Instantiating formula (63) with all_0_0_0, all_0_3_3, all_0_6_6 and discharging atoms a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0, leq(all_0_6_6, n2) = 0, yields: % 51.29/16.03 | (171) all_0_0_0 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (171), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (172) all_0_0_0 = init % 51.29/16.03 | % 51.29/16.03 | Equations (172) can reduce 170 to: % 51.29/16.03 | (173) $false % 51.29/16.03 | % 51.29/16.03 |-The branch is then unsatisfiable % 51.29/16.03 |-Branch two: % 51.29/16.03 | (170) ~ (all_0_0_0 = init) % 51.29/16.03 | (175) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 51.29/16.03 | % 51.29/16.03 | Instantiating (175) with all_1005_0_97, all_1005_1_98 yields: % 51.29/16.03 | (176) ( ~ (all_1005_1_98 = 0) & leq(n0, all_0_6_6) = all_1005_1_98) | (leq(all_0_3_3, n3) = all_1005_0_97 & leq(n0, all_0_3_3) = all_1005_1_98 & ( ~ (all_1005_0_97 = 0) | ~ (all_1005_1_98 = 0))) % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (176), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (177) ~ (all_1005_1_98 = 0) & leq(n0, all_0_6_6) = all_1005_1_98 % 51.29/16.03 | % 51.29/16.03 | Applying alpha-rule on (177) yields: % 51.29/16.03 | (178) ~ (all_1005_1_98 = 0) % 51.29/16.03 | (179) leq(n0, all_0_6_6) = all_1005_1_98 % 51.29/16.03 | % 51.29/16.03 | Instantiating formula (10) with n0, all_0_6_6, all_1005_1_98, 0 and discharging atoms leq(n0, all_0_6_6) = all_1005_1_98, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.03 | (180) all_1005_1_98 = 0 % 51.29/16.03 | % 51.29/16.03 | Equations (180) can reduce 178 to: % 51.29/16.03 | (173) $false % 51.29/16.03 | % 51.29/16.03 |-The branch is then unsatisfiable % 51.29/16.03 |-Branch two: % 51.29/16.03 | (182) leq(all_0_3_3, n3) = all_1005_0_97 & leq(n0, all_0_3_3) = all_1005_1_98 & ( ~ (all_1005_0_97 = 0) | ~ (all_1005_1_98 = 0)) % 51.29/16.03 | % 51.29/16.03 | Applying alpha-rule on (182) yields: % 51.29/16.03 | (183) leq(all_0_3_3, n3) = all_1005_0_97 % 51.29/16.03 | (184) leq(n0, all_0_3_3) = all_1005_1_98 % 51.29/16.03 | (185) ~ (all_1005_0_97 = 0) | ~ (all_1005_1_98 = 0) % 51.29/16.03 | % 51.29/16.03 | Instantiating formula (10) with all_0_3_3, n3, all_1005_0_97, 0 and discharging atoms leq(all_0_3_3, n3) = all_1005_0_97, leq(all_0_3_3, n3) = 0, yields: % 51.29/16.03 | (186) all_1005_0_97 = 0 % 51.29/16.03 | % 51.29/16.03 | Instantiating formula (10) with n0, all_0_3_3, all_1005_1_98, 0 and discharging atoms leq(n0, all_0_3_3) = all_1005_1_98, leq(n0, all_0_3_3) = 0, yields: % 51.29/16.03 | (180) all_1005_1_98 = 0 % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (185), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (188) ~ (all_1005_0_97 = 0) % 51.29/16.03 | % 51.29/16.03 | Equations (186) can reduce 188 to: % 51.29/16.03 | (173) $false % 51.29/16.03 | % 51.29/16.03 |-The branch is then unsatisfiable % 51.29/16.03 |-Branch two: % 51.29/16.03 | (186) all_1005_0_97 = 0 % 51.29/16.03 | (178) ~ (all_1005_1_98 = 0) % 51.29/16.03 | % 51.29/16.03 | Equations (180) can reduce 178 to: % 51.29/16.03 | (173) $false % 51.29/16.03 | % 51.29/16.03 |-The branch is then unsatisfiable % 51.29/16.03 |-Branch two: % 51.29/16.03 | (193) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.03 | % 51.29/16.03 | Applying alpha-rule on (193) yields: % 51.29/16.03 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.03 | (195) ~ (all_0_3_3 = init) % 51.29/16.03 | (163) all_0_4_4 = 0 % 51.29/16.03 | (167) all_0_5_5 = 0 % 51.29/16.03 | (198) a_select2(s_try7_init, all_0_6_6) = all_0_3_3 % 51.29/16.03 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.03 | % 51.29/16.03 | From (155) and (194) follows: % 51.29/16.03 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.03 | % 51.29/16.03 | Instantiating formula (143) with all_0_6_6 yields: % 51.29/16.03 | (201) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.03 | % 51.29/16.03 +-Applying beta-rule and splitting (201), into two cases. % 51.29/16.03 |-Branch one: % 51.29/16.03 | (202) ~ (leq(all_0_6_6, all_0_8_8) = 0) % 51.29/16.04 | % 51.29/16.04 | From (155) and (202) follows: % 51.29/16.04 | (203) ~ (leq(all_0_6_6, n2) = 0) % 51.29/16.04 | % 51.29/16.04 | Using (164) and (203) yields: % 51.29/16.04 | (204) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.04 | (206) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.04 | % 51.29/16.04 | Instantiating (206) with all_1083_0_199, all_1083_1_200 yields: % 51.29/16.04 | (207) a_select2(s_try7_init, all_0_6_6) = all_1083_0_199 & leq(n0, all_0_6_6) = all_1083_1_200 & ( ~ (all_1083_1_200 = 0) | all_1083_0_199 = init) % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (207) yields: % 51.29/16.04 | (208) a_select2(s_try7_init, all_0_6_6) = all_1083_0_199 % 51.29/16.04 | (209) leq(n0, all_0_6_6) = all_1083_1_200 % 51.29/16.04 | (210) ~ (all_1083_1_200 = 0) | all_1083_0_199 = init % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (110) with s_try7_init, all_0_6_6, all_1083_0_199, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_1083_0_199, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.04 | (211) all_1083_0_199 = all_0_3_3 % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (10) with n0, all_0_6_6, all_1083_1_200, 0 and discharging atoms leq(n0, all_0_6_6) = all_1083_1_200, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.04 | (212) all_1083_1_200 = 0 % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (210), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (213) ~ (all_1083_1_200 = 0) % 51.29/16.04 | % 51.29/16.04 | Equations (212) can reduce 213 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (212) all_1083_1_200 = 0 % 51.29/16.04 | (216) all_1083_0_199 = init % 51.29/16.04 | % 51.29/16.04 | Combining equations (211,216) yields a new equation: % 51.29/16.04 | (217) all_0_3_3 = init % 51.29/16.04 | % 51.29/16.04 | Simplifying 217 yields: % 51.29/16.04 | (218) all_0_3_3 = init % 51.29/16.04 | % 51.29/16.04 | Equations (218) can reduce 195 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (220) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (220) yields: % 51.29/16.04 | (195) ~ (all_0_3_3 = init) % 51.29/16.04 | (163) all_0_4_4 = 0 % 51.29/16.04 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.04 | (167) all_0_5_5 = 0 % 51.29/16.04 | (225) a_select2(s_center7_init, all_0_6_6) = all_0_3_3 % 51.29/16.04 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (54) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.04 | (227) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (143) with all_0_6_6 yields: % 51.29/16.04 | (201) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (201), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (202) ~ (leq(all_0_6_6, all_0_8_8) = 0) % 51.29/16.04 | % 51.29/16.04 | From (155) and (202) follows: % 51.29/16.04 | (203) ~ (leq(all_0_6_6, n2) = 0) % 51.29/16.04 | % 51.29/16.04 | Using (164) and (203) yields: % 51.29/16.04 | (204) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.04 | (206) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.04 | % 51.29/16.04 | From (155) and (194) follows: % 51.29/16.04 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (227), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (218) all_0_3_3 = init % 51.29/16.04 | % 51.29/16.04 | Equations (218) can reduce 195 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (195) ~ (all_0_3_3 = init) % 51.29/16.04 | (238) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.04 | % 51.29/16.04 | Instantiating (238) with all_917_0_226, all_917_1_227 yields: % 51.29/16.04 | (239) leq(all_0_6_6, n2) = all_917_0_226 & leq(n0, all_0_6_6) = all_917_1_227 & ( ~ (all_917_0_226 = 0) | ~ (all_917_1_227 = 0)) % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (239) yields: % 51.29/16.04 | (240) leq(all_0_6_6, n2) = all_917_0_226 % 51.29/16.04 | (241) leq(n0, all_0_6_6) = all_917_1_227 % 51.29/16.04 | (242) ~ (all_917_0_226 = 0) | ~ (all_917_1_227 = 0) % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (10) with all_0_6_6, n2, all_917_0_226, 0 and discharging atoms leq(all_0_6_6, n2) = all_917_0_226, leq(all_0_6_6, n2) = 0, yields: % 51.29/16.04 | (243) all_917_0_226 = 0 % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (10) with n0, all_0_6_6, all_917_1_227, 0 and discharging atoms leq(n0, all_0_6_6) = all_917_1_227, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.04 | (244) all_917_1_227 = 0 % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (242), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (245) ~ (all_917_0_226 = 0) % 51.29/16.04 | % 51.29/16.04 | Equations (243) can reduce 245 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (243) all_917_0_226 = 0 % 51.29/16.04 | (248) ~ (all_917_1_227 = 0) % 51.29/16.04 | % 51.29/16.04 | Equations (244) can reduce 248 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (250) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (250) yields: % 51.29/16.04 | (195) ~ (all_0_3_3 = init) % 51.29/16.04 | (163) all_0_4_4 = 0 % 51.29/16.04 | (167) all_0_5_5 = 0 % 51.29/16.04 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.04 | (255) leq(all_0_6_6, n3) = 0 % 51.29/16.04 | (256) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (3) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.04 | (257) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (257), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (218) all_0_3_3 = init % 51.29/16.04 | % 51.29/16.04 | Equations (218) can reduce 195 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (195) ~ (all_0_3_3 = init) % 51.29/16.04 | (261) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.04 | % 51.29/16.04 | Instantiating (261) with all_921_0_281, all_921_1_282 yields: % 51.29/16.04 | (262) leq(all_0_6_6, n3) = all_921_0_281 & leq(n0, all_0_6_6) = all_921_1_282 & ( ~ (all_921_0_281 = 0) | ~ (all_921_1_282 = 0)) % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (262) yields: % 51.29/16.04 | (263) leq(all_0_6_6, n3) = all_921_0_281 % 51.29/16.04 | (264) leq(n0, all_0_6_6) = all_921_1_282 % 51.29/16.04 | (265) ~ (all_921_0_281 = 0) | ~ (all_921_1_282 = 0) % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (10) with all_0_6_6, n3, all_921_0_281, 0 and discharging atoms leq(all_0_6_6, n3) = all_921_0_281, leq(all_0_6_6, n3) = 0, yields: % 51.29/16.04 | (266) all_921_0_281 = 0 % 51.29/16.04 | % 51.29/16.04 | Instantiating formula (10) with n0, all_0_6_6, all_921_1_282, 0 and discharging atoms leq(n0, all_0_6_6) = all_921_1_282, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.04 | (267) all_921_1_282 = 0 % 51.29/16.04 | % 51.29/16.04 +-Applying beta-rule and splitting (265), into two cases. % 51.29/16.04 |-Branch one: % 51.29/16.04 | (268) ~ (all_921_0_281 = 0) % 51.29/16.04 | % 51.29/16.04 | Equations (266) can reduce 268 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (266) all_921_0_281 = 0 % 51.29/16.04 | (271) ~ (all_921_1_282 = 0) % 51.29/16.04 | % 51.29/16.04 | Equations (267) can reduce 271 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (273) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)) % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (273) yields: % 51.29/16.04 | (274) all_0_7_7 = 0 % 51.29/16.04 | (275) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init) % 51.29/16.04 | % 51.29/16.04 | Equations (274) can reduce 156 to: % 51.29/16.04 | (173) $false % 51.29/16.04 | % 51.29/16.04 |-The branch is then unsatisfiable % 51.29/16.04 |-Branch two: % 51.29/16.04 | (274) all_0_7_7 = 0 % 51.29/16.04 | (278) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init % 51.29/16.04 | % 51.29/16.04 | Applying alpha-rule on (278) yields: % 51.29/16.04 | (279) pvar1402_init = init % 51.29/16.04 | (280) pvar1401_init = init % 51.29/16.04 | (281) pvar1400_init = init % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (49), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (157) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (157), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (158) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (158), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (159) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (159), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (160) all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (160) yields: % 51.29/16.05 | (161) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 51.29/16.05 | (162) all_0_1_1 = 0 % 51.29/16.05 | (163) all_0_4_4 = 0 % 51.29/16.05 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.05 | (165) leq(all_0_3_3, n3) = 0 % 51.29/16.05 | (166) leq(n0, all_0_3_3) = 0 % 51.29/16.05 | (167) all_0_5_5 = 0 % 51.29/16.05 | (168) all_0_2_2 = 0 % 51.29/16.05 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.05 | (170) ~ (all_0_0_0 = init) % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (63) with all_0_0_0, all_0_3_3, all_0_6_6 and discharging atoms a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0, leq(all_0_6_6, n2) = 0, yields: % 51.29/16.05 | (171) all_0_0_0 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (171), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (172) all_0_0_0 = init % 51.29/16.05 | % 51.29/16.05 | Equations (172) can reduce 170 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (170) ~ (all_0_0_0 = init) % 51.29/16.05 | (175) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 51.29/16.05 | % 51.29/16.05 | Instantiating (175) with all_950_0_354, all_950_1_355 yields: % 51.29/16.05 | (301) ( ~ (all_950_1_355 = 0) & leq(n0, all_0_6_6) = all_950_1_355) | (leq(all_0_3_3, n3) = all_950_0_354 & leq(n0, all_0_3_3) = all_950_1_355 & ( ~ (all_950_0_354 = 0) | ~ (all_950_1_355 = 0))) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (301), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (302) ~ (all_950_1_355 = 0) & leq(n0, all_0_6_6) = all_950_1_355 % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (302) yields: % 51.29/16.05 | (303) ~ (all_950_1_355 = 0) % 51.29/16.05 | (304) leq(n0, all_0_6_6) = all_950_1_355 % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (10) with n0, all_0_6_6, all_950_1_355, 0 and discharging atoms leq(n0, all_0_6_6) = all_950_1_355, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.05 | (305) all_950_1_355 = 0 % 51.29/16.05 | % 51.29/16.05 | Equations (305) can reduce 303 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (307) leq(all_0_3_3, n3) = all_950_0_354 & leq(n0, all_0_3_3) = all_950_1_355 & ( ~ (all_950_0_354 = 0) | ~ (all_950_1_355 = 0)) % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (307) yields: % 51.29/16.05 | (308) leq(all_0_3_3, n3) = all_950_0_354 % 51.29/16.05 | (309) leq(n0, all_0_3_3) = all_950_1_355 % 51.29/16.05 | (310) ~ (all_950_0_354 = 0) | ~ (all_950_1_355 = 0) % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (10) with all_0_3_3, n3, all_950_0_354, 0 and discharging atoms leq(all_0_3_3, n3) = all_950_0_354, leq(all_0_3_3, n3) = 0, yields: % 51.29/16.05 | (311) all_950_0_354 = 0 % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (10) with n0, all_0_3_3, all_950_1_355, 0 and discharging atoms leq(n0, all_0_3_3) = all_950_1_355, leq(n0, all_0_3_3) = 0, yields: % 51.29/16.05 | (305) all_950_1_355 = 0 % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (310), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (313) ~ (all_950_0_354 = 0) % 51.29/16.05 | % 51.29/16.05 | Equations (311) can reduce 313 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (311) all_950_0_354 = 0 % 51.29/16.05 | (303) ~ (all_950_1_355 = 0) % 51.29/16.05 | % 51.29/16.05 | Equations (305) can reduce 303 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (193) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (193) yields: % 51.29/16.05 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.05 | (195) ~ (all_0_3_3 = init) % 51.29/16.05 | (163) all_0_4_4 = 0 % 51.29/16.05 | (167) all_0_5_5 = 0 % 51.29/16.05 | (198) a_select2(s_try7_init, all_0_6_6) = all_0_3_3 % 51.29/16.05 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.05 | % 51.29/16.05 | From (155) and (194) follows: % 51.29/16.05 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (143) with all_0_6_6 yields: % 51.29/16.05 | (201) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (201), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (202) ~ (leq(all_0_6_6, all_0_8_8) = 0) % 51.29/16.05 | % 51.29/16.05 | From (155) and (202) follows: % 51.29/16.05 | (203) ~ (leq(all_0_6_6, n2) = 0) % 51.29/16.05 | % 51.29/16.05 | Using (164) and (203) yields: % 51.29/16.05 | (204) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.05 | (206) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.05 | % 51.29/16.05 | Instantiating (206) with all_847_0_388, all_847_1_389 yields: % 51.29/16.05 | (332) a_select2(s_try7_init, all_0_6_6) = all_847_0_388 & leq(n0, all_0_6_6) = all_847_1_389 & ( ~ (all_847_1_389 = 0) | all_847_0_388 = init) % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (332) yields: % 51.29/16.05 | (333) a_select2(s_try7_init, all_0_6_6) = all_847_0_388 % 51.29/16.05 | (334) leq(n0, all_0_6_6) = all_847_1_389 % 51.29/16.05 | (335) ~ (all_847_1_389 = 0) | all_847_0_388 = init % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (110) with s_try7_init, all_0_6_6, all_847_0_388, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_847_0_388, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.05 | (336) all_847_0_388 = all_0_3_3 % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (10) with n0, all_0_6_6, all_847_1_389, 0 and discharging atoms leq(n0, all_0_6_6) = all_847_1_389, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.05 | (337) all_847_1_389 = 0 % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (335), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (338) ~ (all_847_1_389 = 0) % 51.29/16.05 | % 51.29/16.05 | Equations (337) can reduce 338 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (337) all_847_1_389 = 0 % 51.29/16.05 | (341) all_847_0_388 = init % 51.29/16.05 | % 51.29/16.05 | Combining equations (341,336) yields a new equation: % 51.29/16.05 | (218) all_0_3_3 = init % 51.29/16.05 | % 51.29/16.05 | Equations (218) can reduce 195 to: % 51.29/16.05 | (173) $false % 51.29/16.05 | % 51.29/16.05 |-The branch is then unsatisfiable % 51.29/16.05 |-Branch two: % 51.29/16.05 | (220) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.05 | % 51.29/16.05 | Applying alpha-rule on (220) yields: % 51.29/16.05 | (195) ~ (all_0_3_3 = init) % 51.29/16.05 | (163) all_0_4_4 = 0 % 51.29/16.05 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.05 | (167) all_0_5_5 = 0 % 51.29/16.05 | (225) a_select2(s_center7_init, all_0_6_6) = all_0_3_3 % 51.29/16.05 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (54) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.05 | (227) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.05 | % 51.29/16.05 | Instantiating formula (143) with all_0_6_6 yields: % 51.29/16.05 | (201) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.05 | % 51.29/16.05 +-Applying beta-rule and splitting (201), into two cases. % 51.29/16.05 |-Branch one: % 51.29/16.05 | (202) ~ (leq(all_0_6_6, all_0_8_8) = 0) % 51.29/16.05 | % 51.29/16.05 | From (155) and (202) follows: % 51.29/16.06 | (203) ~ (leq(all_0_6_6, n2) = 0) % 51.29/16.06 | % 51.29/16.06 | Using (164) and (203) yields: % 51.29/16.06 | (204) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (194) leq(all_0_6_6, all_0_8_8) = 0 % 51.29/16.06 | (206) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 51.29/16.06 | % 51.29/16.06 | From (155) and (194) follows: % 51.29/16.06 | (164) leq(all_0_6_6, n2) = 0 % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (227), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (218) all_0_3_3 = init % 51.29/16.06 | % 51.29/16.06 | Equations (218) can reduce 195 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (195) ~ (all_0_3_3 = init) % 51.29/16.06 | (238) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.06 | % 51.29/16.06 | Instantiating (238) with all_956_0_451, all_956_1_452 yields: % 51.29/16.06 | (363) leq(all_0_6_6, n2) = all_956_0_451 & leq(n0, all_0_6_6) = all_956_1_452 & ( ~ (all_956_0_451 = 0) | ~ (all_956_1_452 = 0)) % 51.29/16.06 | % 51.29/16.06 | Applying alpha-rule on (363) yields: % 51.29/16.06 | (364) leq(all_0_6_6, n2) = all_956_0_451 % 51.29/16.06 | (365) leq(n0, all_0_6_6) = all_956_1_452 % 51.29/16.06 | (366) ~ (all_956_0_451 = 0) | ~ (all_956_1_452 = 0) % 51.29/16.06 | % 51.29/16.06 | Instantiating formula (10) with all_0_6_6, n2, all_956_0_451, 0 and discharging atoms leq(all_0_6_6, n2) = all_956_0_451, leq(all_0_6_6, n2) = 0, yields: % 51.29/16.06 | (367) all_956_0_451 = 0 % 51.29/16.06 | % 51.29/16.06 | Instantiating formula (10) with n0, all_0_6_6, all_956_1_452, 0 and discharging atoms leq(n0, all_0_6_6) = all_956_1_452, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.06 | (368) all_956_1_452 = 0 % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (366), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (369) ~ (all_956_0_451 = 0) % 51.29/16.06 | % 51.29/16.06 | Equations (367) can reduce 369 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (367) all_956_0_451 = 0 % 51.29/16.06 | (372) ~ (all_956_1_452 = 0) % 51.29/16.06 | % 51.29/16.06 | Equations (368) can reduce 372 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (250) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0 % 51.29/16.06 | % 51.29/16.06 | Applying alpha-rule on (250) yields: % 51.29/16.06 | (195) ~ (all_0_3_3 = init) % 51.29/16.06 | (163) all_0_4_4 = 0 % 51.29/16.06 | (167) all_0_5_5 = 0 % 51.29/16.06 | (169) leq(n0, all_0_6_6) = 0 % 51.29/16.06 | (255) leq(all_0_6_6, n3) = 0 % 51.29/16.06 | (256) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 51.29/16.06 | % 51.29/16.06 | Instantiating formula (3) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields: % 51.29/16.06 | (257) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (257), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (218) all_0_3_3 = init % 51.29/16.06 | % 51.29/16.06 | Equations (218) can reduce 195 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (195) ~ (all_0_3_3 = init) % 51.29/16.06 | (261) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 51.29/16.06 | % 51.29/16.06 | Instantiating (261) with all_844_0_474, all_844_1_475 yields: % 51.29/16.06 | (386) leq(all_0_6_6, n3) = all_844_0_474 & leq(n0, all_0_6_6) = all_844_1_475 & ( ~ (all_844_0_474 = 0) | ~ (all_844_1_475 = 0)) % 51.29/16.06 | % 51.29/16.06 | Applying alpha-rule on (386) yields: % 51.29/16.06 | (387) leq(all_0_6_6, n3) = all_844_0_474 % 51.29/16.06 | (388) leq(n0, all_0_6_6) = all_844_1_475 % 51.29/16.06 | (389) ~ (all_844_0_474 = 0) | ~ (all_844_1_475 = 0) % 51.29/16.06 | % 51.29/16.06 | Instantiating formula (10) with all_0_6_6, n3, all_844_0_474, 0 and discharging atoms leq(all_0_6_6, n3) = all_844_0_474, leq(all_0_6_6, n3) = 0, yields: % 51.29/16.06 | (390) all_844_0_474 = 0 % 51.29/16.06 | % 51.29/16.06 | Instantiating formula (10) with n0, all_0_6_6, all_844_1_475, 0 and discharging atoms leq(n0, all_0_6_6) = all_844_1_475, leq(n0, all_0_6_6) = 0, yields: % 51.29/16.06 | (391) all_844_1_475 = 0 % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (389), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (392) ~ (all_844_0_474 = 0) % 51.29/16.06 | % 51.29/16.06 | Equations (390) can reduce 392 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (390) all_844_0_474 = 0 % 51.29/16.06 | (395) ~ (all_844_1_475 = 0) % 51.29/16.06 | % 51.29/16.06 | Equations (391) can reduce 395 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (273) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)) % 51.29/16.06 | % 51.29/16.06 | Applying alpha-rule on (273) yields: % 51.29/16.06 | (274) all_0_7_7 = 0 % 51.29/16.06 | (275) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init) % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (275), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (400) ~ (pvar1402_init = init) % 51.29/16.06 | % 51.29/16.06 | Equations (279) can reduce 400 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (279) pvar1402_init = init % 51.29/16.06 | (403) ~ (pvar1401_init = init) | ~ (pvar1400_init = init) % 51.29/16.06 | % 51.29/16.06 +-Applying beta-rule and splitting (403), into two cases. % 51.29/16.06 |-Branch one: % 51.29/16.06 | (404) ~ (pvar1401_init = init) % 51.29/16.06 | % 51.29/16.06 | Equations (280) can reduce 404 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 |-Branch two: % 51.29/16.06 | (280) pvar1401_init = init % 51.29/16.06 | (407) ~ (pvar1400_init = init) % 51.29/16.06 | % 51.29/16.06 | Equations (281) can reduce 407 to: % 51.29/16.06 | (173) $false % 51.29/16.06 | % 51.29/16.06 |-The branch is then unsatisfiable % 51.29/16.06 % SZS output end Proof for theBenchmark % 51.29/16.06 % 51.29/16.06 15458ms %------------------------------------------------------------------------------