%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWV032+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n017.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 17:49:47 EDT 2022 % Result : Theorem 24.41s 7.19s % Output : Proof 58.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV032+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.35 % Computer : n017.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 600 % 0.13/0.36 % DateTime : Tue Jun 14 23:37:54 EDT 2022 % 0.13/0.36 % CPUTime : % 0.63/0.62 ____ _ % 0.63/0.62 ___ / __ \_____(_)___ ________ __________ % 0.63/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.63/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.63/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.63/0.62 % 0.63/0.62 A Theorem Prover for First-Order Logic % 0.63/0.62 (ePrincess v.1.0) % 0.63/0.62 % 0.63/0.62 (c) Philipp Rümmer, 2009-2015 % 0.63/0.62 (c) Peter Backeman, 2014-2015 % 0.63/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.63/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.63/0.62 Bug reports to peter@backeman.se % 0.63/0.62 % 0.63/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.63/0.62 % 0.63/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.24/1.12 Prover 0: Preprocessing ... % 4.00/1.62 Prover 0: Warning: ignoring some quantifiers % 4.41/1.65 Prover 0: Constructing countermodel ... % 19.55/5.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 20.15/6.13 Prover 1: Preprocessing ... % 20.88/6.33 Prover 1: Warning: ignoring some quantifiers % 20.88/6.34 Prover 1: Constructing countermodel ... % 24.41/7.19 Prover 1: proved (1201ms) % 24.41/7.19 Prover 0: stopped % 24.41/7.19 % 24.41/7.19 No countermodel exists, formula is valid % 24.41/7.19 % SZS status Theorem for theBenchmark % 24.41/7.19 % 24.41/7.19 Generating proof ... Warning: ignoring some quantifiers % 57.16/21.28 found it (size 666) % 57.16/21.28 % 57.16/21.28 % SZS output start Proof for theBenchmark % 57.16/21.29 Assumed formulas after preprocessing and simplification: % 57.16/21.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & minus(pv1376, n1) = v2 & tptp_const_array2(v6, v7, init) = v8 & a_select3(v8, pv19, pv20) = v9 & a_select3(simplex7_init, pv1376, n2) = v5 & a_select3(simplex7_init, pv1376, n1) = v4 & a_select3(simplex7_init, pv1376, n0) = v3 & dim(n0, v1) = v7 & dim(n0, v0) = v6 & 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(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & 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 & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (tptp_mmul(v31, v32) = v33) | ~ (tptp_mmul(v24, v28) = v29) | ~ (tptp_mmul(v23, v29) = v30) | ~ (tptp_mmul(v22, v25) = v26) | ~ (tptp_mmul(v21, v26) = v27) | ~ (tptp_mmul(v20, v33) = v34) | ~ (tptp_madd(v27, v30) = v31) | ~ (tptp_madd(v19, v34) = v35) | ~ (trans(v23) = v28) | ~ (trans(v21) = v25) | ~ (trans(v20) = v32) | ~ (a_select3(v35, v36, v37) = v38) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ((v44 = 0 & v43 = 0 & v42 = 0 & v41 = 0 & ~ (v46 = v45) & a_select3(v24, v40, v39) = v46 & a_select3(v24, v39, v40) = v45 & leq(v40, v17) = 0 & leq(v39, v17) = 0 & leq(n0, v40) = 0 & leq(n0, v39) = 0) | (v44 = 0 & v43 = 0 & v42 = 0 & v41 = 0 & ~ (v46 = v45) & a_select3(v22, v40, v39) = v46 & a_select3(v22, v39, v40) = v45 & leq(v40, v18) = 0 & leq(v39, v18) = 0 & leq(n0, v40) = 0 & leq(n0, v39) = 0) | (v44 = 0 & v43 = 0 & v42 = 0 & v41 = 0 & ~ (v46 = v45) & a_select3(v19, v40, v39) = v46 & a_select3(v19, v39, v40) = v45 & leq(v40, v17) = 0 & leq(v39, v17) = 0 & leq(n0, v40) = 0 & leq(n0, v39) = 0) | (a_select3(v35, v37, v36) = v43 & leq(v37, v17) = v42 & leq(v36, v17) = v40 & leq(n0, v37) = v41 & leq(n0, v36) = v39 & ( ~ (v42 = 0) | ~ (v41 = 0) | ~ (v40 = 0) | ~ (v39 = 0) | v43 = v38)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = v23 | ~ (tptp_const_array2(v24, v25, v23) = v26) | ~ (a_select3(v26, v17, v20) = v27) | ~ (dim(v21, v22) = v25) | ~ (dim(v18, v19) = v24) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (leq(v21, v20) = v30 & leq(v20, v22) = v31 & leq(v18, v17) = v28 & leq(v17, v19) = v29 & ( ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0)))) & ? [v17] : ? [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (tptp_mmul(v20, v21) = v22) | ~ (tptp_mmul(v19, v22) = v23) | ~ (trans(v19) = v21) | ~ (a_select3(v23, v24, v25) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 & ~ (v34 = v33) & a_select3(v20, v28, v27) = v34 & a_select3(v20, v27, v28) = v33 & leq(v28, v18) = 0 & leq(v27, v18) = 0 & leq(n0, v28) = 0 & leq(n0, v27) = 0) | (a_select3(v23, v25, v24) = v31 & leq(v25, v17) = v30 & leq(v24, v17) = v28 & leq(n0, v25) = v29 & leq(n0, v24) = v27 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | v31 = v26)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (tptp_mmul(v19, v20) = v21) | ~ (tptp_mmul(v18, v21) = v22) | ~ (trans(v18) = v20) | ~ (a_select3(v22, v23, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v19, v27, v26) = v33 & a_select3(v19, v26, v27) = v32 & leq(v27, v17) = 0 & leq(v26, v17) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (a_select3(v22, v24, v23) = v30 & leq(v24, v17) = v29 & leq(v23, v17) = v27 & leq(n0, v24) = v28 & leq(n0, v23) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v30 = v25)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (tptp_update3(v21, v19, v20, v22) = v23) | ~ (a_select3(v23, v17, v18) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v30 = 0 & v29 = 0 & v28 = 0 & v27 = 0 & ~ (v31 = v22) & a_select3(v21, v25, v26) = v31 & leq(v26, v20) = 0 & leq(v25, v19) = 0 & leq(n0, v26) = 0 & leq(n0, v25) = 0) | (leq(v18, v20) = v28 & leq(v17, v19) = v26 & leq(n0, v18) = v27 & leq(n0, v17) = v25 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0))))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v17 | v20 = v18 | ~ (tptp_update3(v21, v18, v19, v22) = v23) | ~ (a_select3(v23, v20, v19) = v24) | ? [v25] : ( ~ (v25 = v17) & a_select3(v21, v20, v19) = v25)) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (tptp_update3(v18, v21, v21, v22) = v23) | ~ (a_select3(v23, v19, v20) = v24) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v30 = 0 & v29 = 0 & v28 = 0 & v27 = 0 & ~ (v32 = v31) & a_select3(v18, v26, v25) = v32 & a_select3(v18, v25, v26) = v31 & leq(v26, v17) = 0 & leq(v25, v17) = 0 & leq(n0, v26) = 0 & leq(n0, v25) = 0) | (a_select3(v23, v20, v19) = v31 & leq(v21, v17) = v30 & leq(v20, v17) = v28 & leq(v19, v17) = v26 & leq(n0, v21) = v29 & leq(n0, v20) = v27 & leq(n0, v19) = v25 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | v31 = v24)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (dim(v18, v19) = v21) | ~ (tptp_const_array1(v21, v20) = v22) | ~ (a_select2(v22, v17) = v23) | ? [v24] : ? [v25] : (leq(v18, v17) = v24 & leq(v17, v19) = v25 & ( ~ (v25 = 0) | ~ (v24 = 0)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v17 | v19 = v18 | ~ (tptp_update2(v20, v18, v21) = v22) | ~ (a_select2(v22, v19) = v23) | ? [v24] : ( ~ (v24 = v17) & a_select2(v20, v19) = v24)) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tptp_msub(v18, v19) = v20) | ~ (a_select3(v20, v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v19, v25, v24) = v31 & a_select3(v19, v24, v25) = v30 & leq(v25, v17) = 0 & leq(v24, v17) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v18, v25, v24) = v31 & a_select3(v18, v24, v25) = v30 & leq(v25, v17) = 0 & leq(v24, v17) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (a_select3(v20, v22, v21) = v28 & leq(v22, v17) = v27 & leq(v21, v17) = v25 & leq(n0, v22) = v26 & leq(n0, v21) = v24 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | v28 = v23)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tptp_madd(v18, v19) = v20) | ~ (a_select3(v20, v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v19, v25, v24) = v31 & a_select3(v19, v24, v25) = v30 & leq(v25, v17) = 0 & leq(v24, v17) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v18, v25, v24) = v31 & a_select3(v18, v24, v25) = v30 & leq(v25, v17) = 0 & leq(v24, v17) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (a_select3(v20, v22, v21) = v28 & leq(v22, v17) = v27 & leq(v21, v17) = v25 & leq(n0, v22) = v26 & leq(n0, v21) = v24 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | v28 = v23)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (tptp_update2(v19, v18, v20) = v21) | ~ (a_select2(v21, v17) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v25 = 0 & v24 = 0 & ~ (v26 = v20) & a_select2(v19, v23) = v26 & leq(v23, v18) = 0 & leq(n0, v23) = 0) | (leq(v17, v18) = v24 & leq(n0, v17) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (tptp_update3(v17, v18, v19, v20) = v21) | ~ (a_select3(v21, v18, v19) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (tptp_update3(v22, v21, v20, v19) = v18) | ~ (tptp_update3(v22, v21, v20, v19) = v17)) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (inv(v18) = v19) | ~ (a_select3(v19, v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v28 = 0 & v27 = 0 & v26 = 0 & v25 = 0 & ~ (v30 = v29) & a_select3(v18, v24, v23) = v30 & a_select3(v18, v23, v24) = v29 & leq(v24, v17) = 0 & leq(v23, v17) = 0 & leq(n0, v24) = 0 & leq(n0, v23) = 0) | (a_select3(v19, v21, v20) = v27 & leq(v21, v17) = v26 & leq(v20, v17) = v24 & leq(n0, v21) = v25 & leq(n0, v20) = v23 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v27 = v22)))) & ? [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (trans(v18) = v19) | ~ (a_select3(v19, v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v28 = 0 & v27 = 0 & v26 = 0 & v25 = 0 & ~ (v30 = v29) & a_select3(v18, v24, v23) = v30 & a_select3(v18, v23, v24) = v29 & leq(v24, v17) = 0 & leq(v23, v17) = 0 & leq(n0, v24) = 0 & leq(n0, v23) = 0) | (a_select3(v19, v21, v20) = v27 & leq(v21, v17) = v26 & leq(v20, v17) = v24 & leq(n0, v21) = v25 & leq(n0, v20) = v23 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v27 = v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (tptp_update2(v17, v18, v19) = v20) | ~ (a_select2(v20, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (succ(v18) = v20) | ~ (succ(v17) = v19) | ~ (leq(v19, v20) = v21) | ? [v22] : ( ~ (v22 = 0) & leq(v17, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (tptp_update2(v21, v20, v19) = v18) | ~ (tptp_update2(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (sum(v21, v20, v19) = v18) | ~ (sum(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (tptp_const_array2(v21, v20, v19) = v18) | ~ (tptp_const_array2(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (a_select3(v21, v20, v19) = v18) | ~ (a_select3(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (uniform_int_rnd(v18, v17) = v19) | ~ (leq(v19, v17) = v20) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (succ(v18) = v19) | ~ (leq(v17, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & leq(v17, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (succ(v18) = v19) | ~ (gt(v19, v17) = v20) | ? [v21] : ( ~ (v21 = 0) & leq(v17, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (pred(v18) = v19) | ~ (leq(v17, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & gt(v18, v17) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (leq(v17, v19) = v20) | ~ (leq(v17, v18) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(v18, v19) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (gt(v17, v19) = v20) | ~ (gt(v17, v18) = 0) | ? [v21] : ( ~ (v21 = 0) & gt(v18, v19) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (minus(v20, v19) = v18) | ~ (minus(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (plus(v20, v19) = v18) | ~ (plus(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (tptp_mmul(v20, v19) = v18) | ~ (tptp_mmul(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (tptp_msub(v20, v19) = v18) | ~ (tptp_msub(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (tptp_madd(v20, v19) = v18) | ~ (tptp_madd(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (dim(v20, v19) = v18) | ~ (dim(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (tptp_const_array1(v20, v19) = v18) | ~ (tptp_const_array1(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (a_select2(v20, v19) = v18) | ~ (a_select2(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (uniform_int_rnd(v20, v19) = v18) | ~ (uniform_int_rnd(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (geq(v20, v19) = v18) | ~ (geq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (lt(v20, v19) = v18) | ~ (lt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (leq(v20, v19) = v18) | ~ (leq(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (gt(v20, v19) = v18) | ~ (gt(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (succ(v18) = v20) | ~ (succ(v17) = v19) | ~ (leq(v19, v20) = 0) | leq(v17, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : (v19 = init | ~ (a_select3(simplex7_init, v18, v17) = v19) | ~ (leq(v17, n2) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & leq(n0, v17) = v20) | (leq(v18, n3) = v21 & leq(n0, v18) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (gt(v18, v17) = v19) | ? [v20] : ( ~ (v20 = 0) & leq(v17, v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | v18 = v17 | ~ (gt(v17, v18) = v19) | gt(v18, v17) = 0) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (succ(v17) = v18) | ~ (gt(v18, v17) = v19)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (geq(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & leq(v18, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (lt(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & gt(v18, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (inv(v19) = v18) | ~ (inv(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (trans(v19) = v18) | ~ (trans(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (succ(v19) = v18) | ~ (succ(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (pred(v19) = v18) | ~ (pred(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (minus(v17, v18) = v19) | ~ (leq(v19, v17) = 0) | leq(n0, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (uniform_int_rnd(v18, v17) = v19) | ? [v20] : ? [v21] : (leq(n0, v19) = v21 & leq(n0, v17) = v20 & ( ~ (v20 = 0) | v21 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (succ(v18) = v19) | ~ (gt(v19, v17) = 0) | leq(v17, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (succ(v17) = v19) | ~ (leq(v19, v18) = 0) | gt(v18, v17) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (pred(v18) = v19) | ~ (leq(v17, v19) = 0) | gt(v18, v17) = 0) & ! [v17] : ! [v18] : (v18 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v17) = v18)) & ! [v17] : ! [v18] : (v18 = n0 | ~ (sum(n0, tptp_minus_1, v17) = v18)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (leq(v17, v17) = v18)) & ! [v17] : ! [v18] : ( ~ (minus(v17, n1) = v18) | pred(v17) = v18) & ! [v17] : ! [v18] : ( ~ (plus(v17, n5) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (succ(v22) = v18 & succ(v21) = v22 & succ(v20) = v21 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(v17, n4) = v18) | ? [v19] : ? [v20] : ? [v21] : (succ(v21) = v18 & succ(v20) = v21 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(v17, n3) = v18) | ? [v19] : ? [v20] : (succ(v20) = v18 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(v17, n2) = v18) | ? [v19] : (succ(v19) = v18 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(v17, n1) = v18) | succ(v17) = v18) & ! [v17] : ! [v18] : ( ~ (plus(n5, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (succ(v22) = v18 & succ(v21) = v22 & succ(v20) = v21 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(n4, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (succ(v21) = v18 & succ(v20) = v21 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(n3, v17) = v18) | ? [v19] : ? [v20] : (succ(v20) = v18 & succ(v19) = v20 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(n2, v17) = v18) | ? [v19] : (succ(v19) = v18 & succ(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (plus(n1, v17) = v18) | succ(v17) = v18) & ! [v17] : ! [v18] : ( ~ (succ(v17) = v18) | pred(v18) = v17) & ! [v17] : ! [v18] : ( ~ (pred(v17) = v18) | succ(v18) = v17) & ! [v17] : ! [v18] : ( ~ (geq(v17, v18) = 0) | leq(v18, v17) = 0) & ! [v17] : ! [v18] : ( ~ (lt(v17, v18) = 0) | gt(v18, v17) = 0) & ! [v17] : ! [v18] : ( ~ (gt(v18, v17) = 0) | leq(v17, v18) = 0) & ! [v17] : (v17 = n5 | v17 = n4 | v17 = n3 | v17 = n2 | v17 = n1 | v17 = n0 | ~ (leq(v17, n5) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v17) = v18)) & ! [v17] : (v17 = n4 | v17 = n3 | v17 = n2 | v17 = n1 | v17 = n0 | ~ (leq(v17, n4) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v17) = v18)) & ! [v17] : (v17 = n3 | v17 = n2 | v17 = n1 | v17 = n0 | ~ (leq(v17, n3) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v17) = v18)) & ! [v17] : (v17 = n2 | v17 = n1 | v17 = n0 | ~ (leq(v17, n2) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v17) = v18)) & ! [v17] : (v17 = n1 | v17 = n0 | ~ (leq(v17, n1) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v17) = v18)) & ! [v17] : (v17 = n0 | ~ (leq(n0, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(v17, n0) = v18)) & ! [v17] : ( ~ (leq(v17, v2) = 0) | ? [v18] : ? [v19] : (a_select2(s_values7_init, v17) = v19 & leq(n0, v17) = v18 & ( ~ (v18 = 0) | v19 = init))) & ! [v17] : ~ (gt(v17, v17) = 0) & ( ~ (v9 = init) | ~ (v5 = init) | ~ (v4 = init) | ~ (v3 = init) | (v15 = 0 & v14 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = init) & a_select3(simplex7_init, v13, v10) = v16 & leq(v13, n3) = 0 & leq(v10, n2) = 0 & leq(n0, v13) = 0 & leq(n0, v10) = 0) | (v12 = 0 & v11 = 0 & ~ (v13 = init) & a_select2(s_values7_init, v10) = v13 & leq(v10, v2) = 0 & leq(n0, v10) = 0))) % 57.25/21.36 | 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, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16 yields: % 57.25/21.36 | (1) ~ (def = use) & minus(n330, n1) = all_0_15_15 & minus(n410, n1) = all_0_16_16 & minus(pv1376, n1) = all_0_14_14 & tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8 & a_select3(all_0_8_8, pv19, pv20) = all_0_7_7 & a_select3(simplex7_init, pv1376, n2) = all_0_11_11 & a_select3(simplex7_init, pv1376, n1) = all_0_12_12 & a_select3(simplex7_init, pv1376, n0) = all_0_13_13 & dim(n0, all_0_15_15) = all_0_9_9 & dim(n0, all_0_16_16) = all_0_10_10 & 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_15_15) = 0 & leq(pv19, all_0_16_16) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & 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 = 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_14_14) = 0) | ? [v1] : ? [v2] : (a_select2(s_values7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = init) | ~ (all_0_11_11 = init) | ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0)) % 57.71/21.39 | % 57.71/21.39 | Applying alpha-rule on (1) yields: % 57.71/21.39 | (2) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 57.71/21.39 | (3) gt(n330, n5) = 0 % 57.71/21.39 | (4) leq(n0, pv1376) = 0 % 57.71/21.39 | (5) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 57.71/21.39 | (6) ? [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)))) % 57.71/21.39 | (7) gt(n3, n0) = 0 % 57.71/21.39 | (8) tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8 % 57.71/21.39 | (9) succ(tptp_minus_1) = n0 % 57.71/21.39 | (10) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) % 57.71/21.39 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) % 57.71/21.39 | (12) gt(n2, n0) = 0 % 57.71/21.39 | (13) ? [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)))) % 57.71/21.39 | (14) ? [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)))) % 57.71/21.39 | (15) succ(n1) = n2 % 57.71/21.39 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) % 57.77/21.40 | (17) gt(n2, n1) = 0 % 57.77/21.40 | (18) gt(n2, tptp_minus_1) = 0 % 57.77/21.40 | (19) gt(n410, n1) = 0 % 57.77/21.40 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) % 57.77/21.40 | (21) gt(n4, tptp_minus_1) = 0 % 57.77/21.40 | (22) gt(n410, tptp_minus_1) = 0 % 57.77/21.40 | (23) gt(n330, n0) = 0 % 57.77/21.40 | (24) gt(n3, n1) = 0 % 57.77/21.40 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) % 57.77/21.40 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) % 57.77/21.40 | (27) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) % 57.77/21.40 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) % 57.77/21.40 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) % 57.77/21.40 | (30) ! [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))))) % 57.77/21.40 | (31) ! [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))))) % 57.77/21.40 | (32) gt(n3, n2) = 0 % 57.77/21.40 | (33) gt(n5, tptp_minus_1) = 0 % 57.77/21.40 | (34) ~ (def = use) % 57.77/21.40 | (35) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) % 57.77/21.40 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) % 57.77/21.40 | (37) ! [v0] : ( ~ (leq(v0, all_0_14_14) = 0) | ? [v1] : ? [v2] : (a_select2(s_values7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) % 57.77/21.40 | (38) gt(n410, n4) = 0 % 57.77/21.40 | (39) gt(n4, n2) = 0 % 57.77/21.40 | (40) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 57.77/21.40 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) % 57.77/21.40 | (42) gt(n1, tptp_minus_1) = 0 % 57.77/21.40 | (43) gt(n410, n0) = 0 % 57.77/21.40 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) % 57.77/21.40 | (45) leq(n0, pv20) = 0 % 57.77/21.40 | (46) a_select3(simplex7_init, pv1376, n2) = all_0_11_11 % 57.77/21.40 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) % 57.77/21.40 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) % 57.77/21.40 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) % 57.77/21.40 | (50) gt(n410, n3) = 0 % 57.77/21.40 | (51) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) % 57.77/21.40 | (52) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 57.77/21.40 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) % 57.77/21.40 | (54) gt(n5, n3) = 0 % 57.77/21.40 | (55) minus(pv1376, n1) = all_0_14_14 % 57.77/21.40 | (56) dim(n0, all_0_16_16) = all_0_10_10 % 57.77/21.40 | (57) dim(n0, all_0_15_15) = all_0_9_9 % 57.77/21.40 | (58) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 57.77/21.40 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) % 57.77/21.40 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) % 57.77/21.40 | (61) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) % 57.77/21.40 | (62) gt(n4, n3) = 0 % 57.77/21.40 | (63) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) % 57.77/21.40 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) % 57.77/21.40 | (65) ! [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)))) % 57.77/21.40 | (66) leq(pv1376, n3) = 0 % 57.77/21.40 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) % 57.77/21.40 | (68) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) % 57.77/21.40 | (69) gt(n410, n330) = 0 % 57.77/21.40 | (70) succ(n2) = n3 % 57.77/21.40 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) % 57.77/21.40 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) % 57.77/21.40 | (73) a_select3(all_0_8_8, pv19, pv20) = all_0_7_7 % 57.77/21.40 | (74) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 57.77/21.40 | (75) leq(n0, pv19) = 0 % 57.77/21.40 | (76) ! [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)) % 57.77/21.40 | (77) ? [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)) % 57.77/21.40 | (78) gt(n3, tptp_minus_1) = 0 % 57.77/21.40 | (79) gt(n330, n4) = 0 % 57.77/21.41 | (80) gt(n4, n0) = 0 % 57.77/21.41 | (81) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 57.82/21.41 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 57.82/21.41 | (83) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) % 57.82/21.41 | (84) a_select3(simplex7_init, pv1376, n1) = all_0_12_12 % 57.82/21.41 | (85) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 57.82/21.41 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) % 57.82/21.41 | (87) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) % 57.82/21.41 | (88) gt(n5, n1) = 0 % 57.82/21.41 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) % 57.82/21.41 | (90) true % 57.82/21.41 | (91) ? [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)))) % 57.82/21.41 | (92) ! [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))))) % 57.82/21.41 | (93) minus(n330, n1) = all_0_15_15 % 57.82/21.41 | (94) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) % 57.82/21.41 | (95) ? [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)) % 57.82/21.41 | (96) gt(n1, n0) = 0 % 57.82/21.41 | (97) gt(n330, tptp_minus_1) = 0 % 57.82/21.41 | (98) a_select3(simplex7_init, pv1376, n0) = all_0_13_13 % 57.82/21.41 | (99) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) % 57.82/21.41 | (100) gt(n410, n2) = 0 % 57.82/21.41 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) % 57.82/21.41 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) % 57.82/21.41 | (103) succ(n0) = n1 % 57.82/21.41 | (104) ? [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)))) % 57.82/21.41 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) % 57.82/21.41 | (106) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) % 57.82/21.41 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) % 57.82/21.41 | (108) gt(n330, n3) = 0 % 57.82/21.41 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) % 57.82/21.41 | (110) gt(n330, n1) = 0 % 57.82/21.41 | (111) gt(n5, n0) = 0 % 57.82/21.41 | (112) ! [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)))) % 57.82/21.41 | (113) gt(n0, tptp_minus_1) = 0 % 57.82/21.41 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) % 57.82/21.41 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) % 57.82/21.41 | (116) ? [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)))) % 57.82/21.41 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) % 57.82/21.41 | (118) ! [v0] : ~ (gt(v0, v0) = 0) % 57.82/21.41 | (119) gt(n5, n2) = 0 % 57.82/21.41 | (120) minus(n410, n1) = all_0_16_16 % 57.82/21.41 | (121) ? [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)))) % 57.82/21.42 | (122) leq(pv19, all_0_16_16) = 0 % 57.82/21.42 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) % 57.82/21.42 | (124) ~ (all_0_7_7 = init) | ~ (all_0_11_11 = init) | ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.42 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) % 57.82/21.42 | (126) succ(n3) = n4 % 57.82/21.42 | (127) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) % 57.82/21.42 | (128) gt(n4, n1) = 0 % 57.82/21.42 | (129) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) % 57.82/21.42 | (130) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) % 57.82/21.42 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) % 57.82/21.42 | (132) gt(n5, n4) = 0 % 57.82/21.42 | (133) succ(n4) = n5 % 57.82/21.42 | (134) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) % 57.82/21.42 | (135) leq(pv20, all_0_15_15) = 0 % 57.82/21.42 | (136) gt(n330, n2) = 0 % 57.82/21.42 | (137) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) % 57.82/21.42 | (138) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) % 57.82/21.42 | (139) gt(n410, n5) = 0 % 57.82/21.42 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) % 57.82/21.42 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) % 57.82/21.42 | (142) ! [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)) % 57.82/21.42 | (143) ? [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)))) % 57.82/21.42 | (144) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) % 57.82/21.42 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) % 57.82/21.42 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (67) with simplex7_init, pv1376, n1, all_0_12_12, all_0_11_11 and discharging atoms a_select3(simplex7_init, pv1376, n1) = all_0_12_12, yields: % 57.82/21.42 | (147) all_0_11_11 = all_0_12_12 | ~ (a_select3(simplex7_init, pv1376, n1) = all_0_11_11) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (67) with simplex7_init, pv1376, n0, all_0_13_13, all_0_11_11 and discharging atoms a_select3(simplex7_init, pv1376, n0) = all_0_13_13, yields: % 57.82/21.42 | (148) all_0_11_11 = all_0_13_13 | ~ (a_select3(simplex7_init, pv1376, n0) = all_0_11_11) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (67) with simplex7_init, pv1376, n0, all_0_13_13, all_0_12_12 and discharging atoms a_select3(simplex7_init, pv1376, n0) = all_0_13_13, yields: % 57.82/21.42 | (149) all_0_12_12 = all_0_13_13 | ~ (a_select3(simplex7_init, pv1376, n0) = all_0_12_12) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (118) with n3 yields: % 57.82/21.42 | (150) ~ (gt(n3, n3) = 0) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (118) with n2 yields: % 57.82/21.42 | (151) ~ (gt(n2, n2) = 0) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (118) with n1 yields: % 57.82/21.42 | (152) ~ (gt(n1, n1) = 0) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (118) with tptp_minus_1 yields: % 57.82/21.42 | (153) ~ (gt(tptp_minus_1, tptp_minus_1) = 0) % 57.82/21.42 | % 57.82/21.42 | Using (24) and (150) yields: % 57.82/21.42 | (154) ~ (n3 = n1) % 57.82/21.42 | % 57.82/21.42 | Using (7) and (150) yields: % 57.82/21.42 | (155) ~ (n3 = n0) % 57.82/21.42 | % 57.82/21.42 | Using (42) and (152) yields: % 57.82/21.42 | (156) ~ (n1 = tptp_minus_1) % 57.82/21.42 | % 57.82/21.42 | Using (96) and (152) yields: % 57.82/21.42 | (157) ~ (n1 = n0) % 57.82/21.42 | % 57.82/21.42 | Using (113) and (153) yields: % 57.82/21.42 | (158) ~ (tptp_minus_1 = n0) % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (10) with all_0_15_15, n330 and discharging atoms minus(n330, n1) = all_0_15_15, yields: % 57.82/21.42 | (159) pred(n330) = all_0_15_15 % 57.82/21.42 | % 57.82/21.42 | Instantiating formula (10) with all_0_16_16, n410 and discharging atoms minus(n410, n1) = all_0_16_16, yields: % 57.82/21.42 | (160) pred(n410) = all_0_16_16 % 57.82/21.42 | % 57.82/21.43 | Instantiating formula (10) with all_0_14_14, pv1376 and discharging atoms minus(pv1376, n1) = all_0_14_14, yields: % 57.82/21.43 | (161) pred(pv1376) = all_0_14_14 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (65) with all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, init, all_0_15_15, n0, pv20, all_0_16_16, n0, pv19 and discharging atoms tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8, a_select3(all_0_8_8, pv19, pv20) = all_0_7_7, dim(n0, all_0_15_15) = all_0_9_9, dim(n0, all_0_16_16) = all_0_10_10, yields: % 57.82/21.43 | (162) all_0_7_7 = init | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(pv20, all_0_15_15) = v3 & leq(pv19, all_0_16_16) = v1 & leq(n0, pv20) = v2 & leq(n0, pv19) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (138) with n3, n2 and discharging atoms succ(n2) = n3, yields: % 57.82/21.43 | (163) pred(n3) = n2 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (138) with n2, n1 and discharging atoms succ(n1) = n2, yields: % 57.82/21.43 | (164) pred(n2) = n1 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (138) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields: % 57.82/21.43 | (165) pred(n0) = tptp_minus_1 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (138) with n1, n0 and discharging atoms succ(n0) = n1, yields: % 57.82/21.43 | (166) pred(n1) = n0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (85) with pv1376 and discharging atoms leq(pv1376, n3) = 0, yields: % 57.82/21.43 | (167) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | pv1376 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (87) with n3 yields: % 57.82/21.43 | (168) n3 = n0 | ~ (leq(n0, n3) = 0) | ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (37) with pv1376 yields: % 57.82/21.43 | (169) ~ (leq(pv1376, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, pv1376) = v1 & leq(n0, pv1376) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (20) with n1, all_0_16_16, n0 and discharging atoms succ(n0) = n1, yields: % 57.82/21.43 | (170) ~ (leq(n1, all_0_16_16) = 0) | gt(all_0_16_16, n0) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (20) with n0, pv1376, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, leq(n0, pv1376) = 0, yields: % 57.82/21.43 | (171) gt(pv1376, tptp_minus_1) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (87) with pv1376 and discharging atoms leq(n0, pv1376) = 0, yields: % 57.82/21.43 | (172) pv1376 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(pv1376, n0) = v0) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (37) with n0 yields: % 57.82/21.43 | (173) ~ (leq(n0, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (31) with all_0_13_13, pv1376, n0 and discharging atoms a_select3(simplex7_init, pv1376, n0) = all_0_13_13, yields: % 57.82/21.43 | (174) all_0_13_13 = init | ~ (leq(n0, n2) = 0) | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n0) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n330, n3 and discharging atoms gt(n330, n3) = 0, yields: % 57.82/21.43 | (175) leq(n3, n330) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n410, n3 and discharging atoms gt(n410, n3) = 0, yields: % 57.82/21.43 | (176) leq(n3, n410) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n5, n3 and discharging atoms gt(n5, n3) = 0, yields: % 57.82/21.43 | (177) leq(n3, n5) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n4, n3 and discharging atoms gt(n4, n3) = 0, yields: % 57.82/21.43 | (178) leq(n3, n4) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (41) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields: % 57.82/21.43 | (179) leq(n2, n2) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n3, tptp_minus_1 and discharging atoms gt(n3, tptp_minus_1) = 0, yields: % 57.82/21.43 | (180) leq(tptp_minus_1, n3) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n3, n0 and discharging atoms gt(n3, n0) = 0, yields: % 57.82/21.43 | (181) leq(n0, n3) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields: % 57.82/21.43 | (182) leq(n1, n2) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n2, tptp_minus_1 and discharging atoms gt(n2, tptp_minus_1) = 0, yields: % 57.82/21.43 | (183) leq(tptp_minus_1, n2) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields: % 57.82/21.43 | (184) leq(n0, n2) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n1, tptp_minus_1 and discharging atoms gt(n1, tptp_minus_1) = 0, yields: % 57.82/21.43 | (185) leq(tptp_minus_1, n1) = 0 % 57.82/21.43 | % 57.82/21.43 | Instantiating formula (51) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields: % 57.82/21.43 | (186) leq(n0, n1) = 0 % 57.82/21.43 | % 57.82/21.43 +-Applying beta-rule and splitting (162), into two cases. % 57.82/21.43 |-Branch one: % 57.82/21.43 | (187) all_0_7_7 = init % 57.82/21.43 | % 57.82/21.43 +-Applying beta-rule and splitting (168), into two cases. % 57.82/21.43 |-Branch one: % 57.82/21.43 | (188) ~ (leq(n0, n3) = 0) % 57.82/21.43 | % 57.82/21.43 | Using (181) and (188) yields: % 57.82/21.43 | (189) $false % 57.82/21.43 | % 57.82/21.43 |-The branch is then unsatisfiable % 57.82/21.43 |-Branch two: % 57.82/21.43 | (181) leq(n0, n3) = 0 % 57.82/21.43 | (191) n3 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0) % 57.82/21.43 | % 57.82/21.43 +-Applying beta-rule and splitting (174), into two cases. % 57.82/21.43 |-Branch one: % 57.82/21.43 | (192) ~ (leq(n0, n2) = 0) % 57.82/21.43 | % 57.82/21.43 | Using (184) and (192) yields: % 57.82/21.43 | (189) $false % 57.82/21.43 | % 57.82/21.43 |-The branch is then unsatisfiable % 57.82/21.43 |-Branch two: % 57.82/21.43 | (184) leq(n0, n2) = 0 % 57.82/21.43 | (195) all_0_13_13 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n0) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 57.82/21.43 | % 57.82/21.43 +-Applying beta-rule and splitting (195), into two cases. % 57.82/21.43 |-Branch one: % 57.82/21.43 | (196) all_0_13_13 = init % 57.82/21.43 | % 57.82/21.43 | From (196) and (98) follows: % 57.82/21.43 | (197) a_select3(simplex7_init, pv1376, n0) = init % 57.82/21.44 | % 57.82/21.44 +-Applying beta-rule and splitting (191), into two cases. % 57.82/21.44 |-Branch one: % 57.82/21.44 | (198) n3 = n0 % 57.82/21.44 | % 57.82/21.44 | Equations (198) can reduce 155 to: % 57.82/21.44 | (199) $false % 57.82/21.44 | % 57.82/21.44 |-The branch is then unsatisfiable % 57.82/21.44 |-Branch two: % 57.82/21.44 | (155) ~ (n3 = n0) % 57.82/21.44 | (201) ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating (201) with all_55_0_29 yields: % 57.82/21.44 | (202) ~ (all_55_0_29 = 0) & leq(n3, n0) = all_55_0_29 % 57.82/21.44 | % 57.82/21.44 | Applying alpha-rule on (202) yields: % 57.82/21.44 | (203) ~ (all_55_0_29 = 0) % 57.82/21.44 | (204) leq(n3, n0) = all_55_0_29 % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (48) with n3, n2, all_0_14_14 and discharging atoms pred(n3) = n2, yields: % 57.82/21.44 | (205) all_0_14_14 = n2 | ~ (pred(n3) = all_0_14_14) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (48) with n2, n1, all_0_14_14 and discharging atoms pred(n2) = n1, yields: % 57.82/21.44 | (206) all_0_14_14 = n1 | ~ (pred(n2) = all_0_14_14) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (48) with n1, n0, all_0_14_14 and discharging atoms pred(n1) = n0, yields: % 57.82/21.44 | (207) all_0_14_14 = n0 | ~ (pred(n1) = all_0_14_14) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (48) with n0, tptp_minus_1, all_0_14_14 and discharging atoms pred(n0) = tptp_minus_1, yields: % 57.82/21.44 | (208) all_0_14_14 = tptp_minus_1 | ~ (pred(n0) = all_0_14_14) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (137) with all_0_15_15, n330 and discharging atoms pred(n330) = all_0_15_15, yields: % 57.82/21.44 | (209) succ(all_0_15_15) = n330 % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (137) with all_0_16_16, n410 and discharging atoms pred(n410) = all_0_16_16, yields: % 57.82/21.44 | (210) succ(all_0_16_16) = n410 % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (137) with all_0_14_14, pv1376 and discharging atoms pred(pv1376) = all_0_14_14, yields: % 57.82/21.44 | (211) succ(all_0_14_14) = pv1376 % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (37) with n3 yields: % 57.82/21.44 | (212) ~ (leq(n3, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (117) with all_55_0_29, n0, n1, n3 and discharging atoms pred(n1) = n0, leq(n3, n0) = all_55_0_29, yields: % 57.82/21.44 | (213) all_55_0_29 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n1, n3) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (25) with all_55_0_29, n0, n330, n3 and discharging atoms leq(n3, n330) = 0, leq(n3, n0) = all_55_0_29, yields: % 57.82/21.44 | (214) all_55_0_29 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n330, n0) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (25) with all_55_0_29, n0, n410, n3 and discharging atoms leq(n3, n410) = 0, leq(n3, n0) = all_55_0_29, yields: % 57.82/21.44 | (215) all_55_0_29 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n410, n0) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (25) with all_55_0_29, n0, n5, n3 and discharging atoms leq(n3, n5) = 0, leq(n3, n0) = all_55_0_29, yields: % 57.82/21.44 | (216) all_55_0_29 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (25) with all_55_0_29, n0, n4, n3 and discharging atoms leq(n3, n4) = 0, leq(n3, n0) = all_55_0_29, yields: % 57.82/21.44 | (217) all_55_0_29 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (37) with n2 yields: % 57.82/21.44 | (218) ~ (leq(n2, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (71) with n2, pv1376, n2 and discharging atoms leq(n2, n2) = 0, yields: % 57.82/21.44 | (219) ~ (pred(pv1376) = n2) | gt(pv1376, n2) = 0 % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (31) with all_0_11_11, pv1376, n2 and discharging atoms a_select3(simplex7_init, pv1376, n2) = all_0_11_11, leq(n2, n2) = 0, yields: % 57.82/21.44 | (220) all_0_11_11 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n2) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (31) with all_0_12_12, pv1376, n1 and discharging atoms a_select3(simplex7_init, pv1376, n1) = all_0_12_12, leq(n1, n2) = 0, yields: % 57.82/21.44 | (221) all_0_12_12 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n1) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (37) with tptp_minus_1 yields: % 57.82/21.44 | (222) ~ (leq(tptp_minus_1, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (85) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n3) = 0, yields: % 57.82/21.44 | (223) n3 = tptp_minus_1 | n2 = tptp_minus_1 | n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (81) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n2) = 0, yields: % 57.82/21.44 | (224) n2 = tptp_minus_1 | n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (58) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n1) = 0, yields: % 57.82/21.44 | (225) n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.44 | % 57.82/21.44 | Instantiating formula (87) with n1 and discharging atoms leq(n0, n1) = 0, yields: % 57.82/21.44 | (226) n1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, n0) = v0) % 57.82/21.44 | % 57.82/21.44 +-Applying beta-rule and splitting (215), into two cases. % 57.82/21.44 |-Branch one: % 57.82/21.44 | (227) all_55_0_29 = 0 % 57.82/21.44 | % 57.82/21.44 | Equations (227) can reduce 203 to: % 57.82/21.44 | (199) $false % 57.82/21.44 | % 57.82/21.44 |-The branch is then unsatisfiable % 57.82/21.44 |-Branch two: % 57.82/21.44 | (203) ~ (all_55_0_29 = 0) % 57.82/21.44 | (230) ? [v0] : ( ~ (v0 = 0) & leq(n410, n0) = v0) % 57.82/21.44 | % 57.82/21.44 +-Applying beta-rule and splitting (214), into two cases. % 57.82/21.44 |-Branch one: % 57.82/21.44 | (227) all_55_0_29 = 0 % 57.82/21.44 | % 57.82/21.44 | Equations (227) can reduce 203 to: % 57.82/21.44 | (199) $false % 57.82/21.44 | % 57.82/21.44 |-The branch is then unsatisfiable % 57.82/21.44 |-Branch two: % 57.82/21.44 | (203) ~ (all_55_0_29 = 0) % 57.82/21.45 | (234) ? [v0] : ( ~ (v0 = 0) & leq(n330, n0) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (216), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (227) all_55_0_29 = 0 % 57.82/21.45 | % 57.82/21.45 | Equations (227) can reduce 203 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (203) ~ (all_55_0_29 = 0) % 57.82/21.45 | (238) ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (217), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (227) all_55_0_29 = 0 % 57.82/21.45 | % 57.82/21.45 | Equations (227) can reduce 203 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (203) ~ (all_55_0_29 = 0) % 57.82/21.45 | (242) ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (226), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (243) n1 = n0 % 57.82/21.45 | % 57.82/21.45 | Equations (243) can reduce 157 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (157) ~ (n1 = n0) % 57.82/21.45 | (246) ? [v0] : ( ~ (v0 = 0) & leq(n1, n0) = v0) % 57.82/21.45 | % 57.82/21.45 | Instantiating (246) with all_114_0_38 yields: % 57.82/21.45 | (247) ~ (all_114_0_38 = 0) & leq(n1, n0) = all_114_0_38 % 57.82/21.45 | % 57.82/21.45 | Applying alpha-rule on (247) yields: % 57.82/21.45 | (248) ~ (all_114_0_38 = 0) % 57.82/21.45 | (249) leq(n1, n0) = all_114_0_38 % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (213), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (227) all_55_0_29 = 0 % 57.82/21.45 | % 57.82/21.45 | Equations (227) can reduce 203 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (203) ~ (all_55_0_29 = 0) % 57.82/21.45 | (253) ? [v0] : ( ~ (v0 = 0) & gt(n1, n3) = v0) % 57.82/21.45 | % 57.82/21.45 | Instantiating (253) with all_119_0_39 yields: % 57.82/21.45 | (254) ~ (all_119_0_39 = 0) & gt(n1, n3) = all_119_0_39 % 57.82/21.45 | % 57.82/21.45 | Applying alpha-rule on (254) yields: % 57.82/21.45 | (255) ~ (all_119_0_39 = 0) % 57.82/21.45 | (256) gt(n1, n3) = all_119_0_39 % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (221), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (257) all_0_12_12 = init % 57.82/21.45 | % 57.82/21.45 | From (257) and (84) follows: % 57.82/21.45 | (258) a_select3(simplex7_init, pv1376, n1) = init % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (225), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (259) tptp_minus_1 = n0 % 57.82/21.45 | % 57.82/21.45 | Equations (259) can reduce 158 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (158) ~ (tptp_minus_1 = n0) % 57.82/21.45 | (262) n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (224), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (259) tptp_minus_1 = n0 % 57.82/21.45 | % 57.82/21.45 | Equations (259) can reduce 158 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (158) ~ (tptp_minus_1 = n0) % 57.82/21.45 | (266) n2 = tptp_minus_1 | n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (223), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (259) tptp_minus_1 = n0 % 57.82/21.45 | % 57.82/21.45 | Equations (259) can reduce 158 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (158) ~ (tptp_minus_1 = n0) % 57.82/21.45 | (270) n3 = tptp_minus_1 | n2 = tptp_minus_1 | n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (220), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (271) all_0_11_11 = init % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (270), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (272) n1 = tptp_minus_1 % 57.82/21.45 | % 57.82/21.45 | Equations (272) can reduce 156 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (156) ~ (n1 = tptp_minus_1) % 57.82/21.45 | (275) n3 = tptp_minus_1 | n2 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.45 | % 57.82/21.45 +-Applying beta-rule and splitting (262), into two cases. % 57.82/21.45 |-Branch one: % 57.82/21.45 | (272) n1 = tptp_minus_1 % 57.82/21.45 | % 57.82/21.45 | Equations (272) can reduce 156 to: % 57.82/21.45 | (199) $false % 57.82/21.45 | % 57.82/21.45 |-The branch is then unsatisfiable % 57.82/21.45 |-Branch two: % 57.82/21.45 | (156) ~ (n1 = tptp_minus_1) % 57.82/21.45 | (279) ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0) % 57.82/21.45 | % 57.82/21.45 | Instantiating (279) with all_170_0_43 yields: % 57.82/21.45 | (280) ~ (all_170_0_43 = 0) & leq(n0, tptp_minus_1) = all_170_0_43 % 57.82/21.45 | % 57.82/21.45 | Applying alpha-rule on (280) yields: % 57.82/21.45 | (281) ~ (all_170_0_43 = 0) % 57.82/21.45 | (282) leq(n0, tptp_minus_1) = all_170_0_43 % 57.82/21.45 | % 57.82/21.45 | Instantiating formula (86) with n2, pv1376, n3 and discharging atoms succ(n2) = n3, yields: % 57.82/21.45 | (283) pv1376 = n3 | ~ (succ(n2) = pv1376) % 57.82/21.45 | % 57.82/21.45 | Instantiating formula (86) with n0, pv1376, n1 and discharging atoms succ(n0) = n1, yields: % 57.82/21.45 | (284) pv1376 = n1 | ~ (succ(n0) = pv1376) % 57.82/21.45 | % 57.82/21.45 | Instantiating formula (41) with pv1376, all_0_14_14, n3 and discharging atoms succ(all_0_14_14) = pv1376, yields: % 57.82/21.45 | (285) ~ (gt(pv1376, n3) = 0) | leq(n3, all_0_14_14) = 0 % 57.82/21.45 | % 57.82/21.45 | Instantiating formula (41) with pv1376, all_0_14_14, n2 and discharging atoms succ(all_0_14_14) = pv1376, yields: % 57.82/21.45 | (286) ~ (gt(pv1376, n2) = 0) | leq(n2, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with pv1376, all_0_14_14, tptp_minus_1 and discharging atoms succ(all_0_14_14) = pv1376, gt(pv1376, tptp_minus_1) = 0, yields: % 57.82/21.46 | (287) leq(tptp_minus_1, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n3, all_0_14_14, n2 and discharging atoms gt(n3, n2) = 0, yields: % 57.82/21.46 | (288) ~ (succ(all_0_14_14) = n3) | leq(n2, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n3, all_0_14_14, n0 and discharging atoms gt(n3, n0) = 0, yields: % 57.82/21.46 | (289) ~ (succ(all_0_14_14) = n3) | leq(n0, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n2, all_0_14_14, n0 and discharging atoms gt(n2, n0) = 0, yields: % 57.82/21.46 | (290) ~ (succ(all_0_14_14) = n2) | leq(n0, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n1, all_0_14_14, n0 and discharging atoms gt(n1, n0) = 0, yields: % 57.82/21.46 | (291) ~ (succ(all_0_14_14) = n1) | leq(n0, all_0_14_14) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n330, all_0_15_15, n1 and discharging atoms succ(all_0_15_15) = n330, gt(n330, n1) = 0, yields: % 57.82/21.46 | (292) leq(n1, all_0_15_15) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (41) with n410, all_0_16_16, n1 and discharging atoms succ(all_0_16_16) = n410, gt(n410, n1) = 0, yields: % 57.82/21.46 | (293) leq(n1, all_0_16_16) = 0 % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (16) with all_114_0_38, n0, n1, all_0_14_14, n0 and discharging atoms succ(n0) = n1, leq(n1, n0) = all_114_0_38, yields: % 57.82/21.46 | (294) all_114_0_38 = 0 | ~ (succ(all_0_14_14) = n0) | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_14_14) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (117) with all_114_0_38, n0, n1, n1 and discharging atoms pred(n1) = n0, leq(n1, n0) = all_114_0_38, yields: % 57.82/21.46 | (295) all_114_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n1, n1) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (25) with all_114_0_38, n0, all_0_15_15, n1 and discharging atoms leq(n1, n0) = all_114_0_38, yields: % 57.82/21.46 | (296) all_114_0_38 = 0 | ~ (leq(n1, all_0_15_15) = 0) | ? [v0] : ( ~ (v0 = 0) & leq(all_0_15_15, n0) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (25) with all_114_0_38, n0, all_0_16_16, n1 and discharging atoms leq(n1, n0) = all_114_0_38, yields: % 57.82/21.46 | (297) all_114_0_38 = 0 | ~ (leq(n1, all_0_16_16) = 0) | ? [v0] : ( ~ (v0 = 0) & leq(all_0_16_16, n0) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (117) with all_170_0_43, tptp_minus_1, n0, n0 and discharging atoms pred(n0) = tptp_minus_1, leq(n0, tptp_minus_1) = all_170_0_43, yields: % 57.82/21.46 | (298) all_170_0_43 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (25) with all_170_0_43, tptp_minus_1, pv1376, n0 and discharging atoms leq(n0, pv1376) = 0, leq(n0, tptp_minus_1) = all_170_0_43, yields: % 57.82/21.46 | (299) all_170_0_43 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(pv1376, tptp_minus_1) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (64) with all_119_0_39, n3, n0, n1 and discharging atoms gt(n1, n3) = all_119_0_39, gt(n1, n0) = 0, yields: % 57.82/21.46 | (300) all_119_0_39 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n3) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (106) with all_119_0_39, n1, n3 and discharging atoms gt(n1, n3) = all_119_0_39, yields: % 57.82/21.46 | (301) all_119_0_39 = 0 | n3 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (170), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (302) ~ (leq(n1, all_0_16_16) = 0) % 57.82/21.46 | % 57.82/21.46 | Using (293) and (302) yields: % 57.82/21.46 | (189) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (293) leq(n1, all_0_16_16) = 0 % 57.82/21.46 | (305) gt(all_0_16_16, n0) = 0 % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (298), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (306) all_170_0_43 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (306) can reduce 281 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (281) ~ (all_170_0_43 = 0) % 57.82/21.46 | (309) ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (299), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (306) all_170_0_43 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (306) can reduce 281 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (281) ~ (all_170_0_43 = 0) % 57.82/21.46 | (313) ? [v0] : ( ~ (v0 = 0) & leq(pv1376, tptp_minus_1) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating (313) with all_218_0_45 yields: % 57.82/21.46 | (314) ~ (all_218_0_45 = 0) & leq(pv1376, tptp_minus_1) = all_218_0_45 % 57.82/21.46 | % 57.82/21.46 | Applying alpha-rule on (314) yields: % 57.82/21.46 | (315) ~ (all_218_0_45 = 0) % 57.82/21.46 | (316) leq(pv1376, tptp_minus_1) = all_218_0_45 % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (300), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (317) all_119_0_39 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (317) can reduce 255 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (255) ~ (all_119_0_39 = 0) % 57.82/21.46 | (320) ? [v0] : ( ~ (v0 = 0) & gt(n0, n3) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (301), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (317) all_119_0_39 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (317) can reduce 255 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (255) ~ (all_119_0_39 = 0) % 57.82/21.46 | (324) n3 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (324), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (325) n3 = n1 % 57.82/21.46 | % 57.82/21.46 | Equations (325) can reduce 154 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (154) ~ (n3 = n1) % 57.82/21.46 | (328) ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating (328) with all_291_0_57 yields: % 57.82/21.46 | (329) ~ (all_291_0_57 = 0) & leq(n3, n1) = all_291_0_57 % 57.82/21.46 | % 57.82/21.46 | Applying alpha-rule on (329) yields: % 57.82/21.46 | (330) ~ (all_291_0_57 = 0) % 57.82/21.46 | (331) leq(n3, n1) = all_291_0_57 % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (296), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (332) ~ (leq(n1, all_0_15_15) = 0) % 57.82/21.46 | % 57.82/21.46 | Using (292) and (332) yields: % 57.82/21.46 | (189) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (292) leq(n1, all_0_15_15) = 0 % 57.82/21.46 | (335) all_114_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_15_15, n0) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (297), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (302) ~ (leq(n1, all_0_16_16) = 0) % 57.82/21.46 | % 57.82/21.46 | Using (293) and (302) yields: % 57.82/21.46 | (189) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (293) leq(n1, all_0_16_16) = 0 % 57.82/21.46 | (339) all_114_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_16_16, n0) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (295), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (340) all_114_0_38 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (340) can reduce 248 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (248) ~ (all_114_0_38 = 0) % 57.82/21.46 | (343) ? [v0] : ( ~ (v0 = 0) & gt(n1, n1) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (222), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (344) ~ (leq(tptp_minus_1, all_0_14_14) = 0) % 57.82/21.46 | % 57.82/21.46 | Using (287) and (344) yields: % 57.82/21.46 | (189) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (287) leq(tptp_minus_1, all_0_14_14) = 0 % 57.82/21.46 | (347) ? [v0] : ? [v1] : (a_select2(s_values7_init, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.46 | % 57.82/21.46 | Instantiating (347) with all_323_0_59, all_323_1_60 yields: % 57.82/21.46 | (348) a_select2(s_values7_init, tptp_minus_1) = all_323_0_59 & leq(n0, tptp_minus_1) = all_323_1_60 & ( ~ (all_323_1_60 = 0) | all_323_0_59 = init) % 57.82/21.46 | % 57.82/21.46 | Applying alpha-rule on (348) yields: % 57.82/21.46 | (349) a_select2(s_values7_init, tptp_minus_1) = all_323_0_59 % 57.82/21.46 | (350) leq(n0, tptp_minus_1) = all_323_1_60 % 57.82/21.46 | (351) ~ (all_323_1_60 = 0) | all_323_0_59 = init % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (335), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (340) all_114_0_38 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (340) can reduce 248 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (248) ~ (all_114_0_38 = 0) % 57.82/21.46 | (355) ? [v0] : ( ~ (v0 = 0) & leq(all_0_15_15, n0) = v0) % 57.82/21.46 | % 57.82/21.46 +-Applying beta-rule and splitting (339), into two cases. % 57.82/21.46 |-Branch one: % 57.82/21.46 | (340) all_114_0_38 = 0 % 57.82/21.46 | % 57.82/21.46 | Equations (340) can reduce 248 to: % 57.82/21.46 | (199) $false % 57.82/21.46 | % 57.82/21.46 |-The branch is then unsatisfiable % 57.82/21.46 |-Branch two: % 57.82/21.46 | (248) ~ (all_114_0_38 = 0) % 57.82/21.46 | (359) ? [v0] : ( ~ (v0 = 0) & leq(all_0_16_16, n0) = v0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (145) with n0, tptp_minus_1, all_218_0_45, all_170_0_43 and discharging atoms leq(n0, tptp_minus_1) = all_170_0_43, yields: % 57.82/21.46 | (360) all_218_0_45 = all_170_0_43 | ~ (leq(n0, tptp_minus_1) = all_218_0_45) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (145) with n3, n1, all_291_0_57, 0 and discharging atoms leq(n3, n1) = all_291_0_57, yields: % 57.82/21.46 | (361) all_291_0_57 = 0 | ~ (leq(n3, n1) = 0) % 57.82/21.46 | % 57.82/21.46 | Instantiating formula (145) with n0, tptp_minus_1, all_323_1_60, all_170_0_43 and discharging atoms leq(n0, tptp_minus_1) = all_323_1_60, leq(n0, tptp_minus_1) = all_170_0_43, yields: % 57.82/21.46 | (362) all_323_1_60 = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 | Instantiating formula (145) with n0, tptp_minus_1, all_323_1_60, all_218_0_45 and discharging atoms leq(n0, tptp_minus_1) = all_323_1_60, yields: % 57.82/21.47 | (363) all_323_1_60 = all_218_0_45 | ~ (leq(n0, tptp_minus_1) = all_218_0_45) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (124), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (364) ~ (all_0_7_7 = init) % 57.82/21.47 | % 57.82/21.47 | Equations (187) can reduce 364 to: % 57.82/21.47 | (199) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (187) all_0_7_7 = init % 57.82/21.47 | (367) ~ (all_0_11_11 = init) | ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (149), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (368) ~ (a_select3(simplex7_init, pv1376, n0) = all_0_12_12) % 57.82/21.47 | % 57.82/21.47 | From (257) and (368) follows: % 57.82/21.47 | (369) ~ (a_select3(simplex7_init, pv1376, n0) = init) % 57.82/21.47 | % 57.82/21.47 | Using (197) and (369) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (371) a_select3(simplex7_init, pv1376, n0) = all_0_12_12 % 57.82/21.47 | (372) all_0_12_12 = all_0_13_13 % 57.82/21.47 | % 57.82/21.47 | Combining equations (257,372) yields a new equation: % 57.82/21.47 | (196) all_0_13_13 = init % 57.82/21.47 | % 57.82/21.47 | Combining equations (196,372) yields a new equation: % 57.82/21.47 | (257) all_0_12_12 = init % 57.82/21.47 | % 57.82/21.47 | From (257) and (371) follows: % 57.82/21.47 | (197) a_select3(simplex7_init, pv1376, n0) = init % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (148), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (376) ~ (a_select3(simplex7_init, pv1376, n0) = all_0_11_11) % 57.82/21.47 | % 57.82/21.47 | From (271) and (376) follows: % 57.82/21.47 | (369) ~ (a_select3(simplex7_init, pv1376, n0) = init) % 57.82/21.47 | % 57.82/21.47 | Using (197) and (369) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (379) a_select3(simplex7_init, pv1376, n0) = all_0_11_11 % 57.82/21.47 | (380) all_0_11_11 = all_0_13_13 % 57.82/21.47 | % 57.82/21.47 | Combining equations (271,380) yields a new equation: % 57.82/21.47 | (196) all_0_13_13 = init % 57.82/21.47 | % 57.82/21.47 | Combining equations (196,380) yields a new equation: % 57.82/21.47 | (271) all_0_11_11 = init % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (147), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (383) ~ (a_select3(simplex7_init, pv1376, n1) = all_0_11_11) % 57.82/21.47 | % 57.82/21.47 | From (271) and (383) follows: % 57.82/21.47 | (384) ~ (a_select3(simplex7_init, pv1376, n1) = init) % 57.82/21.47 | % 57.82/21.47 | Using (258) and (384) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (386) a_select3(simplex7_init, pv1376, n1) = all_0_11_11 % 57.82/21.47 | (387) all_0_11_11 = all_0_12_12 % 57.82/21.47 | % 57.82/21.47 | Combining equations (271,387) yields a new equation: % 57.82/21.47 | (257) all_0_12_12 = init % 57.82/21.47 | % 57.82/21.47 | Combining equations (257,387) yields a new equation: % 57.82/21.47 | (271) all_0_11_11 = init % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (173), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (390) ~ (leq(n0, all_0_14_14) = 0) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (289), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (391) leq(n0, all_0_14_14) = 0 % 57.82/21.47 | % 57.82/21.47 | Using (391) and (390) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (390) ~ (leq(n0, all_0_14_14) = 0) % 57.82/21.47 | (394) ~ (succ(all_0_14_14) = n3) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (290), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (391) leq(n0, all_0_14_14) = 0 % 57.82/21.47 | % 57.82/21.47 | Using (391) and (390) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (390) ~ (leq(n0, all_0_14_14) = 0) % 57.82/21.47 | (398) ~ (succ(all_0_14_14) = n2) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (291), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (391) leq(n0, all_0_14_14) = 0 % 57.82/21.47 | % 57.82/21.47 | Using (391) and (390) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (390) ~ (leq(n0, all_0_14_14) = 0) % 57.82/21.47 | (402) ~ (succ(all_0_14_14) = n1) % 57.82/21.47 | % 57.82/21.47 | Using (211) and (394) yields: % 57.82/21.47 | (403) ~ (pv1376 = n3) % 57.82/21.47 | % 57.82/21.47 | Using (211) and (398) yields: % 57.82/21.47 | (404) ~ (pv1376 = n2) % 57.82/21.47 | % 57.82/21.47 | Using (211) and (402) yields: % 57.82/21.47 | (405) ~ (pv1376 = n1) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (167), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (406) pv1376 = n0 % 57.82/21.47 | % 57.82/21.47 | From (406) and (161) follows: % 57.82/21.47 | (407) pred(n0) = all_0_14_14 % 57.82/21.47 | % 57.82/21.47 | From (406) and (316) follows: % 57.82/21.47 | (408) leq(n0, tptp_minus_1) = all_218_0_45 % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (208), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (409) ~ (pred(n0) = all_0_14_14) % 57.82/21.47 | % 57.82/21.47 | Using (407) and (409) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (407) pred(n0) = all_0_14_14 % 57.82/21.47 | (412) all_0_14_14 = tptp_minus_1 % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (360), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (413) ~ (leq(n0, tptp_minus_1) = all_218_0_45) % 57.82/21.47 | % 57.82/21.47 | Using (408) and (413) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (408) leq(n0, tptp_minus_1) = all_218_0_45 % 57.82/21.47 | (416) all_218_0_45 = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 | Equations (416) can reduce 315 to: % 57.82/21.47 | (281) ~ (all_170_0_43 = 0) % 57.82/21.47 | % 57.82/21.47 | From (416) and (408) follows: % 57.82/21.47 | (282) leq(n0, tptp_minus_1) = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (363), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (413) ~ (leq(n0, tptp_minus_1) = all_218_0_45) % 57.82/21.47 | % 57.82/21.47 | From (416) and (413) follows: % 57.82/21.47 | (420) ~ (leq(n0, tptp_minus_1) = all_170_0_43) % 57.82/21.47 | % 57.82/21.47 | Using (282) and (420) yields: % 57.82/21.47 | (189) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (408) leq(n0, tptp_minus_1) = all_218_0_45 % 57.82/21.47 | (423) all_323_1_60 = all_218_0_45 % 57.82/21.47 | % 57.82/21.47 | Combining equations (423,362) yields a new equation: % 57.82/21.47 | (424) all_218_0_45 = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 | Simplifying 424 yields: % 57.82/21.47 | (416) all_218_0_45 = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 | From (416) and (408) follows: % 57.82/21.47 | (282) leq(n0, tptp_minus_1) = all_170_0_43 % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (367), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (427) ~ (all_0_11_11 = init) % 57.82/21.47 | % 57.82/21.47 | Equations (271) can reduce 427 to: % 57.82/21.47 | (199) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (271) all_0_11_11 = init % 57.82/21.47 | (430) ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (430), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (431) ~ (all_0_12_12 = init) % 57.82/21.47 | % 57.82/21.47 | Equations (257) can reduce 431 to: % 57.82/21.47 | (199) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (257) all_0_12_12 = init % 57.82/21.47 | (434) ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.47 | % 57.82/21.47 +-Applying beta-rule and splitting (434), into two cases. % 57.82/21.47 |-Branch one: % 57.82/21.47 | (435) ~ (all_0_13_13 = init) % 57.82/21.47 | % 57.82/21.47 | Equations (196) can reduce 435 to: % 57.82/21.47 | (199) $false % 57.82/21.47 | % 57.82/21.47 |-The branch is then unsatisfiable % 57.82/21.47 |-Branch two: % 57.82/21.47 | (196) all_0_13_13 = init % 57.82/21.47 | (438) (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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (438), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (439) 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 % 57.82/21.48 | % 57.82/21.48 | Applying alpha-rule on (439) yields: % 57.82/21.48 | (440) leq(all_0_3_3, n3) = 0 % 57.82/21.48 | (441) all_0_2_2 = 0 % 57.82/21.48 | (442) all_0_4_4 = 0 % 57.82/21.48 | (443) all_0_5_5 = 0 % 57.82/21.48 | (444) leq(n0, all_0_6_6) = 0 % 57.82/21.48 | (445) leq(all_0_6_6, n2) = 0 % 57.82/21.48 | (446) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 57.82/21.48 | (447) all_0_1_1 = 0 % 57.82/21.48 | (448) leq(n0, all_0_3_3) = 0 % 57.82/21.48 | (449) ~ (all_0_0_0 = init) % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (31) 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: % 57.82/21.48 | (450) 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)))) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (450), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (451) all_0_0_0 = init % 57.82/21.48 | % 57.82/21.48 | Equations (451) can reduce 449 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (449) ~ (all_0_0_0 = init) % 57.82/21.48 | (454) ? [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)))) % 57.82/21.48 | % 57.82/21.48 | Instantiating (454) with all_2725_0_466, all_2725_1_467 yields: % 57.82/21.48 | (455) ( ~ (all_2725_1_467 = 0) & leq(n0, all_0_6_6) = all_2725_1_467) | (leq(all_0_3_3, n3) = all_2725_0_466 & leq(n0, all_0_3_3) = all_2725_1_467 & ( ~ (all_2725_0_466 = 0) | ~ (all_2725_1_467 = 0))) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (455), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (456) ~ (all_2725_1_467 = 0) & leq(n0, all_0_6_6) = all_2725_1_467 % 57.82/21.48 | % 57.82/21.48 | Applying alpha-rule on (456) yields: % 57.82/21.48 | (457) ~ (all_2725_1_467 = 0) % 57.82/21.48 | (458) leq(n0, all_0_6_6) = all_2725_1_467 % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (145) with n0, all_0_6_6, all_2725_1_467, 0 and discharging atoms leq(n0, all_0_6_6) = all_2725_1_467, leq(n0, all_0_6_6) = 0, yields: % 57.82/21.48 | (459) all_2725_1_467 = 0 % 57.82/21.48 | % 57.82/21.48 | Equations (459) can reduce 457 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (461) leq(all_0_3_3, n3) = all_2725_0_466 & leq(n0, all_0_3_3) = all_2725_1_467 & ( ~ (all_2725_0_466 = 0) | ~ (all_2725_1_467 = 0)) % 57.82/21.48 | % 57.82/21.48 | Applying alpha-rule on (461) yields: % 57.82/21.48 | (462) leq(all_0_3_3, n3) = all_2725_0_466 % 57.82/21.48 | (463) leq(n0, all_0_3_3) = all_2725_1_467 % 57.82/21.48 | (464) ~ (all_2725_0_466 = 0) | ~ (all_2725_1_467 = 0) % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (145) with all_0_3_3, n3, all_2725_0_466, 0 and discharging atoms leq(all_0_3_3, n3) = all_2725_0_466, leq(all_0_3_3, n3) = 0, yields: % 57.82/21.48 | (465) all_2725_0_466 = 0 % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (145) with n0, all_0_3_3, all_2725_1_467, 0 and discharging atoms leq(n0, all_0_3_3) = all_2725_1_467, leq(n0, all_0_3_3) = 0, yields: % 57.82/21.48 | (459) all_2725_1_467 = 0 % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (464), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (467) ~ (all_2725_0_466 = 0) % 57.82/21.48 | % 57.82/21.48 | Equations (465) can reduce 467 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (465) all_2725_0_466 = 0 % 57.82/21.48 | (457) ~ (all_2725_1_467 = 0) % 57.82/21.48 | % 57.82/21.48 | Equations (459) can reduce 457 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (472) 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, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0 % 57.82/21.48 | % 57.82/21.48 | Applying alpha-rule on (472) yields: % 57.82/21.48 | (442) all_0_4_4 = 0 % 57.82/21.48 | (443) all_0_5_5 = 0 % 57.82/21.48 | (444) leq(n0, all_0_6_6) = 0 % 57.82/21.48 | (476) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 57.82/21.48 | (477) ~ (all_0_3_3 = init) % 57.82/21.48 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 57.82/21.48 | % 57.82/21.48 | From (412) and (478) follows: % 57.82/21.48 | (479) leq(all_0_6_6, tptp_minus_1) = 0 % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (37) with all_0_6_6 yields: % 57.82/21.48 | (480) ~ (leq(all_0_6_6, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (25) with all_170_0_43, tptp_minus_1, all_0_6_6, n0 and discharging atoms leq(n0, all_0_6_6) = 0, leq(n0, tptp_minus_1) = all_170_0_43, yields: % 57.82/21.48 | (481) all_170_0_43 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (480), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (482) ~ (leq(all_0_6_6, all_0_14_14) = 0) % 57.82/21.48 | % 57.82/21.48 | From (412) and (482) follows: % 57.82/21.48 | (483) ~ (leq(all_0_6_6, tptp_minus_1) = 0) % 57.82/21.48 | % 57.82/21.48 | Using (479) and (483) yields: % 57.82/21.48 | (189) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 57.82/21.48 | (486) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.48 | % 57.82/21.48 | From (412) and (478) follows: % 57.82/21.48 | (479) leq(all_0_6_6, tptp_minus_1) = 0 % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (481), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (306) all_170_0_43 = 0 % 57.82/21.48 | % 57.82/21.48 | Equations (306) can reduce 281 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (281) ~ (all_170_0_43 = 0) % 57.82/21.48 | (491) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0) % 57.82/21.48 | % 57.82/21.48 | Instantiating (491) with all_2747_0_490 yields: % 57.82/21.48 | (492) ~ (all_2747_0_490 = 0) & leq(all_0_6_6, tptp_minus_1) = all_2747_0_490 % 57.82/21.48 | % 57.82/21.48 | Applying alpha-rule on (492) yields: % 57.82/21.48 | (493) ~ (all_2747_0_490 = 0) % 57.82/21.48 | (494) leq(all_0_6_6, tptp_minus_1) = all_2747_0_490 % 57.82/21.48 | % 57.82/21.48 | Instantiating formula (145) with all_0_6_6, tptp_minus_1, all_2747_0_490, 0 and discharging atoms leq(all_0_6_6, tptp_minus_1) = all_2747_0_490, leq(all_0_6_6, tptp_minus_1) = 0, yields: % 57.82/21.48 | (495) all_2747_0_490 = 0 % 57.82/21.48 | % 57.82/21.48 | Equations (495) can reduce 493 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (497) ~ (pv1376 = n0) % 57.82/21.48 | (498) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (498), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (499) pv1376 = n1 % 57.82/21.48 | % 57.82/21.48 | Equations (499) can reduce 405 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (405) ~ (pv1376 = n1) % 57.82/21.48 | (502) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (502), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (503) pv1376 = n2 % 57.82/21.48 | % 57.82/21.48 | Equations (503) can reduce 404 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (404) ~ (pv1376 = n2) % 57.82/21.48 | (506) pv1376 = n3 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.48 | % 57.82/21.48 +-Applying beta-rule and splitting (506), into two cases. % 57.82/21.48 |-Branch one: % 57.82/21.48 | (507) pv1376 = n3 % 57.82/21.48 | % 57.82/21.48 | Equations (507) can reduce 403 to: % 57.82/21.48 | (199) $false % 57.82/21.48 | % 57.82/21.48 |-The branch is then unsatisfiable % 57.82/21.48 |-Branch two: % 57.82/21.48 | (403) ~ (pv1376 = n3) % 57.82/21.48 | (510) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.48 | % 57.82/21.48 | Instantiating (510) with all_655_0_498 yields: % 57.82/21.49 | (511) ~ (all_655_0_498 = 0) & leq(n0, pv1376) = all_655_0_498 % 57.82/21.49 | % 57.82/21.49 | Applying alpha-rule on (511) yields: % 57.82/21.49 | (512) ~ (all_655_0_498 = 0) % 57.82/21.49 | (513) leq(n0, pv1376) = all_655_0_498 % 57.82/21.49 | % 57.82/21.49 | Instantiating formula (145) with n0, pv1376, all_655_0_498, 0 and discharging atoms leq(n0, pv1376) = all_655_0_498, leq(n0, pv1376) = 0, yields: % 57.82/21.49 | (514) all_655_0_498 = 0 % 57.82/21.49 | % 57.82/21.49 | Equations (514) can reduce 512 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (391) leq(n0, all_0_14_14) = 0 % 57.82/21.49 | (517) ? [v0] : ? [v1] : (a_select2(s_values7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init)) % 57.82/21.49 | % 57.82/21.49 | Instantiating (517) with all_579_0_500, all_579_1_501 yields: % 57.82/21.49 | (518) a_select2(s_values7_init, n0) = all_579_0_500 & leq(n0, n0) = all_579_1_501 & ( ~ (all_579_1_501 = 0) | all_579_0_500 = init) % 57.82/21.49 | % 57.82/21.49 | Applying alpha-rule on (518) yields: % 57.82/21.49 | (519) a_select2(s_values7_init, n0) = all_579_0_500 % 57.82/21.49 | (520) leq(n0, n0) = all_579_1_501 % 57.82/21.49 | (521) ~ (all_579_1_501 = 0) | all_579_0_500 = init % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (294), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (522) ~ (succ(all_0_14_14) = n0) % 57.82/21.49 | % 57.82/21.49 | Instantiating formula (27) with all_579_1_501, n0 and discharging atoms leq(n0, n0) = all_579_1_501, yields: % 57.82/21.49 | (523) all_579_1_501 = 0 % 57.82/21.49 | % 57.82/21.49 | Using (211) and (522) yields: % 57.82/21.49 | (497) ~ (pv1376 = n0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (521), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (525) ~ (all_579_1_501 = 0) % 57.82/21.49 | % 57.82/21.49 | Equations (523) can reduce 525 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (523) all_579_1_501 = 0 % 57.82/21.49 | (528) all_579_0_500 = init % 57.82/21.49 | % 57.82/21.49 | From (528) and (519) follows: % 57.82/21.49 | (529) a_select2(s_values7_init, n0) = init % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (172), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (406) pv1376 = n0 % 57.82/21.49 | % 57.82/21.49 | Equations (406) can reduce 497 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (497) ~ (pv1376 = n0) % 57.82/21.49 | (533) ? [v0] : ( ~ (v0 = 0) & leq(pv1376, n0) = v0) % 57.82/21.49 | % 57.82/21.49 | Instantiating (533) with all_596_0_502 yields: % 57.82/21.49 | (534) ~ (all_596_0_502 = 0) & leq(pv1376, n0) = all_596_0_502 % 57.82/21.49 | % 57.82/21.49 | Applying alpha-rule on (534) yields: % 57.82/21.49 | (535) ~ (all_596_0_502 = 0) % 57.82/21.49 | (536) leq(pv1376, n0) = all_596_0_502 % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (169), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (537) ~ (leq(pv1376, all_0_14_14) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (167), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (406) pv1376 = n0 % 57.82/21.49 | % 57.82/21.49 | Equations (406) can reduce 497 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (497) ~ (pv1376 = n0) % 57.82/21.49 | (498) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (207), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (542) ~ (pred(n1) = all_0_14_14) % 57.82/21.49 | % 57.82/21.49 | Using (161) and (542) yields: % 57.82/21.49 | (405) ~ (pv1376 = n1) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (218), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (544) ~ (leq(n2, all_0_14_14) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (286), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (545) leq(n2, all_0_14_14) = 0 % 57.82/21.49 | % 57.82/21.49 | Using (545) and (544) yields: % 57.82/21.49 | (189) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (544) ~ (leq(n2, all_0_14_14) = 0) % 57.82/21.49 | (548) ~ (gt(pv1376, n2) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (288), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (545) leq(n2, all_0_14_14) = 0 % 57.82/21.49 | % 57.82/21.49 | Using (545) and (544) yields: % 57.82/21.49 | (189) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (544) ~ (leq(n2, all_0_14_14) = 0) % 57.82/21.49 | (394) ~ (succ(all_0_14_14) = n3) % 57.82/21.49 | % 57.82/21.49 | Using (211) and (394) yields: % 57.82/21.49 | (403) ~ (pv1376 = n3) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (498), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (499) pv1376 = n1 % 57.82/21.49 | % 57.82/21.49 | Equations (499) can reduce 405 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (405) ~ (pv1376 = n1) % 57.82/21.49 | (502) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (502), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (503) pv1376 = n2 % 57.82/21.49 | % 57.82/21.49 | From (503) and (161) follows: % 57.82/21.49 | (559) pred(n2) = all_0_14_14 % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (206), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (560) ~ (pred(n2) = all_0_14_14) % 57.82/21.49 | % 57.82/21.49 | Using (559) and (560) yields: % 57.82/21.49 | (189) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (559) pred(n2) = all_0_14_14 % 57.82/21.49 | (563) all_0_14_14 = n1 % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (367), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (427) ~ (all_0_11_11 = init) % 57.82/21.49 | % 57.82/21.49 | Equations (271) can reduce 427 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (271) all_0_11_11 = init % 57.82/21.49 | (430) ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (430), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (431) ~ (all_0_12_12 = init) % 57.82/21.49 | % 57.82/21.49 | Equations (257) can reduce 431 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (257) all_0_12_12 = init % 57.82/21.49 | (434) ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (434), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (435) ~ (all_0_13_13 = init) % 57.82/21.49 | % 57.82/21.49 | Equations (196) can reduce 435 to: % 57.82/21.49 | (199) $false % 57.82/21.49 | % 57.82/21.49 |-The branch is then unsatisfiable % 57.82/21.49 |-Branch two: % 57.82/21.49 | (196) all_0_13_13 = init % 57.82/21.49 | (438) (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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 57.82/21.49 | % 57.82/21.49 +-Applying beta-rule and splitting (438), into two cases. % 57.82/21.49 |-Branch one: % 57.82/21.49 | (439) 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 % 57.82/21.49 | % 57.82/21.49 | Applying alpha-rule on (439) yields: % 57.82/21.49 | (440) leq(all_0_3_3, n3) = 0 % 57.82/21.49 | (441) all_0_2_2 = 0 % 57.82/21.49 | (442) all_0_4_4 = 0 % 57.82/21.49 | (443) all_0_5_5 = 0 % 57.82/21.49 | (444) leq(n0, all_0_6_6) = 0 % 57.82/21.49 | (445) leq(all_0_6_6, n2) = 0 % 57.82/21.49 | (446) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 57.82/21.49 | (447) all_0_1_1 = 0 % 57.82/21.49 | (448) leq(n0, all_0_3_3) = 0 % 57.82/21.49 | (449) ~ (all_0_0_0 = init) % 57.82/21.49 | % 57.82/21.49 | Instantiating formula (31) 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: % 57.82/21.49 | (450) 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)))) % 57.82/21.49 | % 57.82/21.50 +-Applying beta-rule and splitting (450), into two cases. % 57.82/21.50 |-Branch one: % 57.82/21.50 | (451) all_0_0_0 = init % 57.82/21.50 | % 57.82/21.50 | Equations (451) can reduce 449 to: % 57.82/21.50 | (199) $false % 57.82/21.50 | % 57.82/21.50 |-The branch is then unsatisfiable % 57.82/21.50 |-Branch two: % 57.82/21.50 | (449) ~ (all_0_0_0 = init) % 57.82/21.50 | (454) ? [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)))) % 57.82/21.50 | % 57.82/21.50 | Instantiating (454) with all_2817_0_593, all_2817_1_594 yields: % 57.82/21.50 | (592) ( ~ (all_2817_1_594 = 0) & leq(n0, all_0_6_6) = all_2817_1_594) | (leq(all_0_3_3, n3) = all_2817_0_593 & leq(n0, all_0_3_3) = all_2817_1_594 & ( ~ (all_2817_0_593 = 0) | ~ (all_2817_1_594 = 0))) % 57.82/21.50 | % 57.82/21.50 +-Applying beta-rule and splitting (592), into two cases. % 57.82/21.50 |-Branch one: % 57.82/21.50 | (593) ~ (all_2817_1_594 = 0) & leq(n0, all_0_6_6) = all_2817_1_594 % 57.82/21.50 | % 57.82/21.50 | Applying alpha-rule on (593) yields: % 57.82/21.50 | (594) ~ (all_2817_1_594 = 0) % 57.82/21.50 | (595) leq(n0, all_0_6_6) = all_2817_1_594 % 57.82/21.50 | % 57.82/21.50 | Instantiating formula (145) with n0, all_0_6_6, all_2817_1_594, 0 and discharging atoms leq(n0, all_0_6_6) = all_2817_1_594, leq(n0, all_0_6_6) = 0, yields: % 57.82/21.50 | (596) all_2817_1_594 = 0 % 57.82/21.50 | % 57.82/21.50 | Equations (596) can reduce 594 to: % 57.82/21.50 | (199) $false % 57.82/21.50 | % 57.82/21.50 |-The branch is then unsatisfiable % 57.82/21.50 |-Branch two: % 57.82/21.50 | (598) leq(all_0_3_3, n3) = all_2817_0_593 & leq(n0, all_0_3_3) = all_2817_1_594 & ( ~ (all_2817_0_593 = 0) | ~ (all_2817_1_594 = 0)) % 57.82/21.50 | % 57.82/21.50 | Applying alpha-rule on (598) yields: % 57.82/21.50 | (599) leq(all_0_3_3, n3) = all_2817_0_593 % 57.82/21.50 | (600) leq(n0, all_0_3_3) = all_2817_1_594 % 57.82/21.50 | (601) ~ (all_2817_0_593 = 0) | ~ (all_2817_1_594 = 0) % 57.82/21.50 | % 57.82/21.50 | Instantiating formula (145) with all_0_3_3, n3, all_2817_0_593, 0 and discharging atoms leq(all_0_3_3, n3) = all_2817_0_593, leq(all_0_3_3, n3) = 0, yields: % 57.82/21.50 | (602) all_2817_0_593 = 0 % 57.82/21.50 | % 57.82/21.50 | Instantiating formula (145) with n0, all_0_3_3, all_2817_1_594, 0 and discharging atoms leq(n0, all_0_3_3) = all_2817_1_594, leq(n0, all_0_3_3) = 0, yields: % 57.82/21.50 | (596) all_2817_1_594 = 0 % 57.82/21.50 | % 57.82/21.50 +-Applying beta-rule and splitting (601), into two cases. % 57.82/21.50 |-Branch one: % 57.82/21.50 | (604) ~ (all_2817_0_593 = 0) % 57.82/21.50 | % 57.82/21.50 | Equations (602) can reduce 604 to: % 57.82/21.50 | (199) $false % 57.82/21.50 | % 57.82/21.50 |-The branch is then unsatisfiable % 57.82/21.50 |-Branch two: % 57.82/21.50 | (602) all_2817_0_593 = 0 % 57.82/21.50 | (594) ~ (all_2817_1_594 = 0) % 57.82/21.50 | % 57.82/21.50 | Equations (596) can reduce 594 to: % 57.82/21.50 | (199) $false % 57.82/21.50 | % 57.82/21.50 |-The branch is then unsatisfiable % 57.82/21.50 |-Branch two: % 57.82/21.50 | (472) 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, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0 % 57.82/21.50 | % 57.82/21.50 | Applying alpha-rule on (472) yields: % 57.82/21.50 | (442) all_0_4_4 = 0 % 57.82/21.50 | (443) all_0_5_5 = 0 % 58.27/21.50 | (444) leq(n0, all_0_6_6) = 0 % 58.27/21.50 | (476) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 58.27/21.50 | (477) ~ (all_0_3_3 = init) % 58.27/21.50 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.50 | % 58.27/21.50 | From (563) and (478) follows: % 58.27/21.50 | (616) leq(all_0_6_6, n1) = 0 % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (37) with all_0_6_6 yields: % 58.27/21.50 | (480) ~ (leq(all_0_6_6, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (480), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (482) ~ (leq(all_0_6_6, all_0_14_14) = 0) % 58.27/21.50 | % 58.27/21.50 | From (563) and (482) follows: % 58.27/21.50 | (619) ~ (leq(all_0_6_6, n1) = 0) % 58.27/21.50 | % 58.27/21.50 | Using (616) and (619) yields: % 58.27/21.50 | (189) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.50 | (486) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.50 | % 58.27/21.50 | Instantiating (486) with all_2817_0_621, all_2817_1_622 yields: % 58.27/21.50 | (623) a_select2(s_values7_init, all_0_6_6) = all_2817_0_621 & leq(n0, all_0_6_6) = all_2817_1_622 & ( ~ (all_2817_1_622 = 0) | all_2817_0_621 = init) % 58.27/21.50 | % 58.27/21.50 | Applying alpha-rule on (623) yields: % 58.27/21.50 | (624) a_select2(s_values7_init, all_0_6_6) = all_2817_0_621 % 58.27/21.50 | (625) leq(n0, all_0_6_6) = all_2817_1_622 % 58.27/21.50 | (626) ~ (all_2817_1_622 = 0) | all_2817_0_621 = init % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (107) with s_values7_init, all_0_6_6, all_2817_0_621, all_0_3_3 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_2817_0_621, a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields: % 58.27/21.50 | (627) all_2817_0_621 = all_0_3_3 % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (145) with n0, all_0_6_6, all_2817_1_622, 0 and discharging atoms leq(n0, all_0_6_6) = all_2817_1_622, leq(n0, all_0_6_6) = 0, yields: % 58.27/21.50 | (628) all_2817_1_622 = 0 % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (626), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (629) ~ (all_2817_1_622 = 0) % 58.27/21.50 | % 58.27/21.50 | Equations (628) can reduce 629 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (628) all_2817_1_622 = 0 % 58.27/21.50 | (632) all_2817_0_621 = init % 58.27/21.50 | % 58.27/21.50 | Combining equations (632,627) yields a new equation: % 58.27/21.50 | (633) all_0_3_3 = init % 58.27/21.50 | % 58.27/21.50 | Equations (633) can reduce 477 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (404) ~ (pv1376 = n2) % 58.27/21.50 | (506) pv1376 = n3 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (506), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (507) pv1376 = n3 % 58.27/21.50 | % 58.27/21.50 | Equations (507) can reduce 403 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (403) ~ (pv1376 = n3) % 58.27/21.50 | (510) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.50 | % 58.27/21.50 | Instantiating (510) with all_859_0_631 yields: % 58.27/21.50 | (641) ~ (all_859_0_631 = 0) & leq(n0, pv1376) = all_859_0_631 % 58.27/21.50 | % 58.27/21.50 | Applying alpha-rule on (641) yields: % 58.27/21.50 | (642) ~ (all_859_0_631 = 0) % 58.27/21.50 | (643) leq(n0, pv1376) = all_859_0_631 % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (145) with n0, pv1376, all_859_0_631, 0 and discharging atoms leq(n0, pv1376) = all_859_0_631, leq(n0, pv1376) = 0, yields: % 58.27/21.50 | (644) all_859_0_631 = 0 % 58.27/21.50 | % 58.27/21.50 | Equations (644) can reduce 642 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (545) leq(n2, all_0_14_14) = 0 % 58.27/21.50 | (647) ? [v0] : ? [v1] : (a_select2(s_values7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.50 | % 58.27/21.50 | Using (545) and (537) yields: % 58.27/21.50 | (404) ~ (pv1376 = n2) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (498), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (499) pv1376 = n1 % 58.27/21.50 | % 58.27/21.50 | Equations (499) can reduce 405 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (405) ~ (pv1376 = n1) % 58.27/21.50 | (502) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (502), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (503) pv1376 = n2 % 58.27/21.50 | % 58.27/21.50 | Equations (503) can reduce 404 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (404) ~ (pv1376 = n2) % 58.27/21.50 | (506) pv1376 = n3 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (506), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (507) pv1376 = n3 % 58.27/21.50 | % 58.27/21.50 | From (507) and (161) follows: % 58.27/21.50 | (658) pred(n3) = all_0_14_14 % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (205), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (659) ~ (pred(n3) = all_0_14_14) % 58.27/21.50 | % 58.27/21.50 | Using (658) and (659) yields: % 58.27/21.50 | (189) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (658) pred(n3) = all_0_14_14 % 58.27/21.50 | (662) all_0_14_14 = n2 % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (367), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (427) ~ (all_0_11_11 = init) % 58.27/21.50 | % 58.27/21.50 | Equations (271) can reduce 427 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (271) all_0_11_11 = init % 58.27/21.50 | (430) ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (430), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (431) ~ (all_0_12_12 = init) % 58.27/21.50 | % 58.27/21.50 | Equations (257) can reduce 431 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (257) all_0_12_12 = init % 58.27/21.50 | (434) ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (434), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (435) ~ (all_0_13_13 = init) % 58.27/21.50 | % 58.27/21.50 | Equations (196) can reduce 435 to: % 58.27/21.50 | (199) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (196) all_0_13_13 = init % 58.27/21.50 | (438) (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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (438), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (439) 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 % 58.27/21.50 | % 58.27/21.50 | Applying alpha-rule on (439) yields: % 58.27/21.50 | (440) leq(all_0_3_3, n3) = 0 % 58.27/21.50 | (441) all_0_2_2 = 0 % 58.27/21.50 | (442) all_0_4_4 = 0 % 58.27/21.50 | (443) all_0_5_5 = 0 % 58.27/21.50 | (444) leq(n0, all_0_6_6) = 0 % 58.27/21.50 | (445) leq(all_0_6_6, n2) = 0 % 58.27/21.50 | (446) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 58.27/21.50 | (447) all_0_1_1 = 0 % 58.27/21.50 | (448) leq(n0, all_0_3_3) = 0 % 58.27/21.50 | (449) ~ (all_0_0_0 = init) % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (31) 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: % 58.27/21.50 | (450) 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)))) % 58.27/21.50 | % 58.27/21.50 | Instantiating formula (37) with all_0_6_6 yields: % 58.27/21.50 | (480) ~ (leq(all_0_6_6, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (480), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (482) ~ (leq(all_0_6_6, all_0_14_14) = 0) % 58.27/21.50 | % 58.27/21.50 | From (662) and (482) follows: % 58.27/21.50 | (689) ~ (leq(all_0_6_6, n2) = 0) % 58.27/21.50 | % 58.27/21.50 | Using (445) and (689) yields: % 58.27/21.50 | (189) $false % 58.27/21.50 | % 58.27/21.50 |-The branch is then unsatisfiable % 58.27/21.50 |-Branch two: % 58.27/21.50 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.50 | (486) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.50 | % 58.27/21.50 | Instantiating (486) with all_2839_0_723, all_2839_1_724 yields: % 58.27/21.50 | (693) a_select2(s_values7_init, all_0_6_6) = all_2839_0_723 & leq(n0, all_0_6_6) = all_2839_1_724 & ( ~ (all_2839_1_724 = 0) | all_2839_0_723 = init) % 58.27/21.50 | % 58.27/21.50 | Applying alpha-rule on (693) yields: % 58.27/21.50 | (694) a_select2(s_values7_init, all_0_6_6) = all_2839_0_723 % 58.27/21.50 | (695) leq(n0, all_0_6_6) = all_2839_1_724 % 58.27/21.50 | (696) ~ (all_2839_1_724 = 0) | all_2839_0_723 = init % 58.27/21.50 | % 58.27/21.50 +-Applying beta-rule and splitting (450), into two cases. % 58.27/21.50 |-Branch one: % 58.27/21.50 | (451) all_0_0_0 = init % 58.27/21.50 | % 58.27/21.50 | Equations (451) can reduce 449 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (449) ~ (all_0_0_0 = init) % 58.27/21.51 | (454) ? [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)))) % 58.27/21.51 | % 58.27/21.51 | Instantiating (454) with all_2865_0_729, all_2865_1_730 yields: % 58.27/21.51 | (701) ( ~ (all_2865_1_730 = 0) & leq(n0, all_0_6_6) = all_2865_1_730) | (leq(all_0_3_3, n3) = all_2865_0_729 & leq(n0, all_0_3_3) = all_2865_1_730 & ( ~ (all_2865_0_729 = 0) | ~ (all_2865_1_730 = 0))) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (701), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (702) ~ (all_2865_1_730 = 0) & leq(n0, all_0_6_6) = all_2865_1_730 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (702) yields: % 58.27/21.51 | (703) ~ (all_2865_1_730 = 0) % 58.27/21.51 | (704) leq(n0, all_0_6_6) = all_2865_1_730 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_6_6, all_2865_1_730, 0 and discharging atoms leq(n0, all_0_6_6) = all_2865_1_730, leq(n0, all_0_6_6) = 0, yields: % 58.27/21.51 | (705) all_2865_1_730 = 0 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_6_6, all_2839_1_724, all_2865_1_730 and discharging atoms leq(n0, all_0_6_6) = all_2865_1_730, leq(n0, all_0_6_6) = all_2839_1_724, yields: % 58.27/21.51 | (706) all_2865_1_730 = all_2839_1_724 % 58.27/21.51 | % 58.27/21.51 | Combining equations (705,706) yields a new equation: % 58.27/21.51 | (707) all_2839_1_724 = 0 % 58.27/21.51 | % 58.27/21.51 | Combining equations (707,706) yields a new equation: % 58.27/21.51 | (705) all_2865_1_730 = 0 % 58.27/21.51 | % 58.27/21.51 | Equations (705) can reduce 703 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (710) leq(all_0_3_3, n3) = all_2865_0_729 & leq(n0, all_0_3_3) = all_2865_1_730 & ( ~ (all_2865_0_729 = 0) | ~ (all_2865_1_730 = 0)) % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (710) yields: % 58.27/21.51 | (711) leq(all_0_3_3, n3) = all_2865_0_729 % 58.27/21.51 | (712) leq(n0, all_0_3_3) = all_2865_1_730 % 58.27/21.51 | (713) ~ (all_2865_0_729 = 0) | ~ (all_2865_1_730 = 0) % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with all_0_3_3, n3, all_2865_0_729, 0 and discharging atoms leq(all_0_3_3, n3) = all_2865_0_729, leq(all_0_3_3, n3) = 0, yields: % 58.27/21.51 | (714) all_2865_0_729 = 0 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_3_3, all_2865_1_730, 0 and discharging atoms leq(n0, all_0_3_3) = all_2865_1_730, leq(n0, all_0_3_3) = 0, yields: % 58.27/21.51 | (705) all_2865_1_730 = 0 % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (713), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (716) ~ (all_2865_0_729 = 0) % 58.27/21.51 | % 58.27/21.51 | Equations (714) can reduce 716 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (714) all_2865_0_729 = 0 % 58.27/21.51 | (703) ~ (all_2865_1_730 = 0) % 58.27/21.51 | % 58.27/21.51 | Equations (705) can reduce 703 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (472) 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, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (472) yields: % 58.27/21.51 | (442) all_0_4_4 = 0 % 58.27/21.51 | (443) all_0_5_5 = 0 % 58.27/21.51 | (444) leq(n0, all_0_6_6) = 0 % 58.27/21.51 | (476) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 58.27/21.51 | (477) ~ (all_0_3_3 = init) % 58.27/21.51 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.51 | % 58.27/21.51 | From (662) and (478) follows: % 58.27/21.51 | (445) leq(all_0_6_6, n2) = 0 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (37) with all_0_6_6 yields: % 58.27/21.51 | (480) ~ (leq(all_0_6_6, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (480), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (482) ~ (leq(all_0_6_6, all_0_14_14) = 0) % 58.27/21.51 | % 58.27/21.51 | From (662) and (482) follows: % 58.27/21.51 | (689) ~ (leq(all_0_6_6, n2) = 0) % 58.27/21.51 | % 58.27/21.51 | Using (445) and (689) yields: % 58.27/21.51 | (189) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.51 | (486) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.51 | % 58.27/21.51 | Instantiating (486) with all_2805_0_743, all_2805_1_744 yields: % 58.27/21.51 | (735) a_select2(s_values7_init, all_0_6_6) = all_2805_0_743 & leq(n0, all_0_6_6) = all_2805_1_744 & ( ~ (all_2805_1_744 = 0) | all_2805_0_743 = init) % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (735) yields: % 58.27/21.51 | (736) a_select2(s_values7_init, all_0_6_6) = all_2805_0_743 % 58.27/21.51 | (737) leq(n0, all_0_6_6) = all_2805_1_744 % 58.27/21.51 | (738) ~ (all_2805_1_744 = 0) | all_2805_0_743 = init % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (107) with s_values7_init, all_0_6_6, all_2805_0_743, all_0_3_3 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_2805_0_743, a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields: % 58.27/21.51 | (739) all_2805_0_743 = all_0_3_3 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_6_6, all_2805_1_744, 0 and discharging atoms leq(n0, all_0_6_6) = all_2805_1_744, leq(n0, all_0_6_6) = 0, yields: % 58.27/21.51 | (740) all_2805_1_744 = 0 % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (738), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (741) ~ (all_2805_1_744 = 0) % 58.27/21.51 | % 58.27/21.51 | Equations (740) can reduce 741 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (740) all_2805_1_744 = 0 % 58.27/21.51 | (744) all_2805_0_743 = init % 58.27/21.51 | % 58.27/21.51 | Combining equations (744,739) yields a new equation: % 58.27/21.51 | (633) all_0_3_3 = init % 58.27/21.51 | % 58.27/21.51 | Equations (633) can reduce 477 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (403) ~ (pv1376 = n3) % 58.27/21.51 | (510) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.51 | % 58.27/21.51 | Instantiating (510) with all_849_0_753 yields: % 58.27/21.51 | (749) ~ (all_849_0_753 = 0) & leq(n0, pv1376) = all_849_0_753 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (749) yields: % 58.27/21.51 | (750) ~ (all_849_0_753 = 0) % 58.27/21.51 | (751) leq(n0, pv1376) = all_849_0_753 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, pv1376, all_849_0_753, 0 and discharging atoms leq(n0, pv1376) = all_849_0_753, leq(n0, pv1376) = 0, yields: % 58.27/21.51 | (752) all_849_0_753 = 0 % 58.27/21.51 | % 58.27/21.51 | Equations (752) can reduce 750 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (754) pred(n1) = all_0_14_14 % 58.27/21.51 | (755) all_0_14_14 = n0 % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (367), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (427) ~ (all_0_11_11 = init) % 58.27/21.51 | % 58.27/21.51 | Equations (271) can reduce 427 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (271) all_0_11_11 = init % 58.27/21.51 | (430) ~ (all_0_12_12 = init) | ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (430), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (431) ~ (all_0_12_12 = init) % 58.27/21.51 | % 58.27/21.51 | Equations (257) can reduce 431 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (257) all_0_12_12 = init % 58.27/21.51 | (434) ~ (all_0_13_13 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (434), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (435) ~ (all_0_13_13 = init) % 58.27/21.51 | % 58.27/21.51 | Equations (196) can reduce 435 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (196) all_0_13_13 = init % 58.27/21.51 | (438) (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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (438), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (439) 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 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (439) yields: % 58.27/21.51 | (440) leq(all_0_3_3, n3) = 0 % 58.27/21.51 | (441) all_0_2_2 = 0 % 58.27/21.51 | (442) all_0_4_4 = 0 % 58.27/21.51 | (443) all_0_5_5 = 0 % 58.27/21.51 | (444) leq(n0, all_0_6_6) = 0 % 58.27/21.51 | (445) leq(all_0_6_6, n2) = 0 % 58.27/21.51 | (446) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 % 58.27/21.51 | (447) all_0_1_1 = 0 % 58.27/21.51 | (448) leq(n0, all_0_3_3) = 0 % 58.27/21.51 | (449) ~ (all_0_0_0 = init) % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (31) 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: % 58.27/21.51 | (450) 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)))) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (450), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (451) all_0_0_0 = init % 58.27/21.51 | % 58.27/21.51 | Equations (451) can reduce 449 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (449) ~ (all_0_0_0 = init) % 58.27/21.51 | (454) ? [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)))) % 58.27/21.51 | % 58.27/21.51 | Instantiating (454) with all_2818_0_885, all_2818_1_886 yields: % 58.27/21.51 | (784) ( ~ (all_2818_1_886 = 0) & leq(n0, all_0_6_6) = all_2818_1_886) | (leq(all_0_3_3, n3) = all_2818_0_885 & leq(n0, all_0_3_3) = all_2818_1_886 & ( ~ (all_2818_0_885 = 0) | ~ (all_2818_1_886 = 0))) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (784), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (785) ~ (all_2818_1_886 = 0) & leq(n0, all_0_6_6) = all_2818_1_886 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (785) yields: % 58.27/21.51 | (786) ~ (all_2818_1_886 = 0) % 58.27/21.51 | (787) leq(n0, all_0_6_6) = all_2818_1_886 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_6_6, all_2818_1_886, 0 and discharging atoms leq(n0, all_0_6_6) = all_2818_1_886, leq(n0, all_0_6_6) = 0, yields: % 58.27/21.51 | (788) all_2818_1_886 = 0 % 58.27/21.51 | % 58.27/21.51 | Equations (788) can reduce 786 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (790) leq(all_0_3_3, n3) = all_2818_0_885 & leq(n0, all_0_3_3) = all_2818_1_886 & ( ~ (all_2818_0_885 = 0) | ~ (all_2818_1_886 = 0)) % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (790) yields: % 58.27/21.51 | (791) leq(all_0_3_3, n3) = all_2818_0_885 % 58.27/21.51 | (792) leq(n0, all_0_3_3) = all_2818_1_886 % 58.27/21.51 | (793) ~ (all_2818_0_885 = 0) | ~ (all_2818_1_886 = 0) % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with all_0_3_3, n3, all_2818_0_885, 0 and discharging atoms leq(all_0_3_3, n3) = all_2818_0_885, leq(all_0_3_3, n3) = 0, yields: % 58.27/21.51 | (794) all_2818_0_885 = 0 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (145) with n0, all_0_3_3, all_2818_1_886, 0 and discharging atoms leq(n0, all_0_3_3) = all_2818_1_886, leq(n0, all_0_3_3) = 0, yields: % 58.27/21.51 | (788) all_2818_1_886 = 0 % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (793), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (796) ~ (all_2818_0_885 = 0) % 58.27/21.51 | % 58.27/21.51 | Equations (794) can reduce 796 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (794) all_2818_0_885 = 0 % 58.27/21.51 | (786) ~ (all_2818_1_886 = 0) % 58.27/21.51 | % 58.27/21.51 | Equations (788) can reduce 786 to: % 58.27/21.51 | (199) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (472) 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, all_0_14_14) = 0 & leq(n0, all_0_6_6) = 0 % 58.27/21.51 | % 58.27/21.51 | Applying alpha-rule on (472) yields: % 58.27/21.51 | (442) all_0_4_4 = 0 % 58.27/21.51 | (443) all_0_5_5 = 0 % 58.27/21.51 | (444) leq(n0, all_0_6_6) = 0 % 58.27/21.51 | (476) a_select2(s_values7_init, all_0_6_6) = all_0_3_3 % 58.27/21.51 | (477) ~ (all_0_3_3 = init) % 58.27/21.51 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.51 | % 58.27/21.51 | From (755) and (478) follows: % 58.27/21.51 | (808) leq(all_0_6_6, n0) = 0 % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (107) with s_values7_init, n0, all_0_3_3, init and discharging atoms a_select2(s_values7_init, n0) = init, yields: % 58.27/21.51 | (809) all_0_3_3 = init | ~ (a_select2(s_values7_init, n0) = all_0_3_3) % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (37) with all_0_6_6 yields: % 58.27/21.51 | (480) ~ (leq(all_0_6_6, all_0_14_14) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.51 | % 58.27/21.51 | Instantiating formula (87) with all_0_6_6 and discharging atoms leq(n0, all_0_6_6) = 0, yields: % 58.27/21.51 | (811) all_0_6_6 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, n0) = v0) % 58.27/21.51 | % 58.27/21.51 +-Applying beta-rule and splitting (480), into two cases. % 58.27/21.51 |-Branch one: % 58.27/21.51 | (482) ~ (leq(all_0_6_6, all_0_14_14) = 0) % 58.27/21.51 | % 58.27/21.51 | From (755) and (482) follows: % 58.27/21.51 | (813) ~ (leq(all_0_6_6, n0) = 0) % 58.27/21.51 | % 58.27/21.51 | Using (808) and (813) yields: % 58.27/21.51 | (189) $false % 58.27/21.51 | % 58.27/21.51 |-The branch is then unsatisfiable % 58.27/21.51 |-Branch two: % 58.27/21.51 | (478) leq(all_0_6_6, all_0_14_14) = 0 % 58.27/21.51 | (486) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.52 | % 58.27/21.52 | From (755) and (478) follows: % 58.27/21.52 | (808) leq(all_0_6_6, n0) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (811), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (818) all_0_6_6 = n0 % 58.27/21.52 | % 58.27/21.52 | From (818) and (476) follows: % 58.27/21.52 | (819) a_select2(s_values7_init, n0) = all_0_3_3 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (809), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (820) ~ (a_select2(s_values7_init, n0) = all_0_3_3) % 58.27/21.52 | % 58.27/21.52 | Using (819) and (820) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (819) a_select2(s_values7_init, n0) = all_0_3_3 % 58.27/21.52 | (633) all_0_3_3 = init % 58.27/21.52 | % 58.27/21.52 | Equations (633) can reduce 477 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (825) ~ (all_0_6_6 = n0) % 58.27/21.52 | (826) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, n0) = v0) % 58.27/21.52 | % 58.27/21.52 | Instantiating (826) with all_2810_0_909 yields: % 58.27/21.52 | (827) ~ (all_2810_0_909 = 0) & leq(all_0_6_6, n0) = all_2810_0_909 % 58.27/21.52 | % 58.27/21.52 | Applying alpha-rule on (827) yields: % 58.27/21.52 | (828) ~ (all_2810_0_909 = 0) % 58.27/21.52 | (829) leq(all_0_6_6, n0) = all_2810_0_909 % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (145) with all_0_6_6, n0, all_2810_0_909, 0 and discharging atoms leq(all_0_6_6, n0) = all_2810_0_909, leq(all_0_6_6, n0) = 0, yields: % 58.27/21.52 | (830) all_2810_0_909 = 0 % 58.27/21.52 | % 58.27/21.52 | Equations (830) can reduce 828 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (832) leq(pv1376, all_0_14_14) = 0 % 58.27/21.52 | (833) ? [v0] : ? [v1] : (a_select2(s_values7_init, pv1376) = v1 & leq(n0, pv1376) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.52 | % 58.27/21.52 | Instantiating (833) with all_615_0_916, all_615_1_917 yields: % 58.27/21.52 | (834) a_select2(s_values7_init, pv1376) = all_615_0_916 & leq(n0, pv1376) = all_615_1_917 & ( ~ (all_615_1_917 = 0) | all_615_0_916 = init) % 58.27/21.52 | % 58.27/21.52 | Applying alpha-rule on (834) yields: % 58.27/21.52 | (835) a_select2(s_values7_init, pv1376) = all_615_0_916 % 58.27/21.52 | (836) leq(n0, pv1376) = all_615_1_917 % 58.27/21.52 | (837) ~ (all_615_1_917 = 0) | all_615_0_916 = init % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (145) with pv1376, n0, 0, all_596_0_502 and discharging atoms leq(pv1376, n0) = all_596_0_502, yields: % 58.27/21.52 | (838) all_596_0_502 = 0 | ~ (leq(pv1376, n0) = 0) % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (145) with n0, pv1376, all_615_1_917, 0 and discharging atoms leq(n0, pv1376) = all_615_1_917, leq(n0, pv1376) = 0, yields: % 58.27/21.52 | (839) all_615_1_917 = 0 % 58.27/21.52 | % 58.27/21.52 | From (839) and (836) follows: % 58.27/21.52 | (4) leq(n0, pv1376) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (167), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (406) pv1376 = n0 % 58.27/21.52 | % 58.27/21.52 | Equations (406) can reduce 497 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (497) ~ (pv1376 = n0) % 58.27/21.52 | (498) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (207), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (542) ~ (pred(n1) = all_0_14_14) % 58.27/21.52 | % 58.27/21.52 | Using (161) and (542) yields: % 58.27/21.52 | (405) ~ (pv1376 = n1) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (212), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (847) ~ (leq(n3, all_0_14_14) = 0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (285), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (848) leq(n3, all_0_14_14) = 0 % 58.27/21.52 | % 58.27/21.52 | Using (848) and (847) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (847) ~ (leq(n3, all_0_14_14) = 0) % 58.27/21.52 | (851) ~ (gt(pv1376, n3) = 0) % 58.27/21.52 | % 58.27/21.52 | Using (832) and (847) yields: % 58.27/21.52 | (403) ~ (pv1376 = n3) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (498), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (499) pv1376 = n1 % 58.27/21.52 | % 58.27/21.52 | Equations (499) can reduce 405 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (405) ~ (pv1376 = n1) % 58.27/21.52 | (502) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (502), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (503) pv1376 = n2 % 58.27/21.52 | % 58.27/21.52 | From (503) and (161) follows: % 58.27/21.52 | (559) pred(n2) = all_0_14_14 % 58.27/21.52 | % 58.27/21.52 | From (503) and (832) follows: % 58.27/21.52 | (545) leq(n2, all_0_14_14) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (219), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (860) gt(pv1376, n2) = 0 % 58.27/21.52 | % 58.27/21.52 | From (503) and (860) follows: % 58.27/21.52 | (861) gt(n2, n2) = 0 % 58.27/21.52 | % 58.27/21.52 | Using (861) and (151) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (548) ~ (gt(pv1376, n2) = 0) % 58.27/21.52 | (864) ~ (pred(pv1376) = n2) % 58.27/21.52 | % 58.27/21.52 | From (503) and (548) follows: % 58.27/21.52 | (151) ~ (gt(n2, n2) = 0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (206), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (560) ~ (pred(n2) = all_0_14_14) % 58.27/21.52 | % 58.27/21.52 | Using (559) and (560) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (559) pred(n2) = all_0_14_14 % 58.27/21.52 | (563) all_0_14_14 = n1 % 58.27/21.52 | % 58.27/21.52 | From (563) and (559) follows: % 58.27/21.52 | (164) pred(n2) = n1 % 58.27/21.52 | % 58.27/21.52 | From (563) and (545) follows: % 58.27/21.52 | (871) leq(n2, n1) = 0 % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (71) with n1, n2, n2 and discharging atoms pred(n2) = n1, leq(n2, n1) = 0, ~ (gt(n2, n2) = 0), yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (404) ~ (pv1376 = n2) % 58.27/21.52 | (506) pv1376 = n3 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (506), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (507) pv1376 = n3 % 58.27/21.52 | % 58.27/21.52 | Equations (507) can reduce 403 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (403) ~ (pv1376 = n3) % 58.27/21.52 | (510) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 | Instantiating (510) with all_887_0_924 yields: % 58.27/21.52 | (879) ~ (all_887_0_924 = 0) & leq(n0, pv1376) = all_887_0_924 % 58.27/21.52 | % 58.27/21.52 | Applying alpha-rule on (879) yields: % 58.27/21.52 | (880) ~ (all_887_0_924 = 0) % 58.27/21.52 | (881) leq(n0, pv1376) = all_887_0_924 % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (145) with n0, pv1376, all_887_0_924, 0 and discharging atoms leq(n0, pv1376) = all_887_0_924, leq(n0, pv1376) = 0, yields: % 58.27/21.52 | (882) all_887_0_924 = 0 % 58.27/21.52 | % 58.27/21.52 | Equations (882) can reduce 880 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (848) leq(n3, all_0_14_14) = 0 % 58.27/21.52 | (885) ? [v0] : ? [v1] : (a_select2(s_values7_init, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v0 = 0) | v1 = init)) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (205), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (659) ~ (pred(n3) = all_0_14_14) % 58.27/21.52 | % 58.27/21.52 | Using (161) and (659) yields: % 58.27/21.52 | (403) ~ (pv1376 = n3) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (498), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (499) pv1376 = n1 % 58.27/21.52 | % 58.27/21.52 | Equations (499) can reduce 405 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (405) ~ (pv1376 = n1) % 58.27/21.52 | (502) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (502), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (503) pv1376 = n2 % 58.27/21.52 | % 58.27/21.52 | From (503) and (161) follows: % 58.27/21.52 | (559) pred(n2) = all_0_14_14 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (206), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (560) ~ (pred(n2) = all_0_14_14) % 58.27/21.52 | % 58.27/21.52 | Using (559) and (560) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (559) pred(n2) = all_0_14_14 % 58.27/21.52 | (563) all_0_14_14 = n1 % 58.27/21.52 | % 58.27/21.52 | From (563) and (848) follows: % 58.27/21.52 | (898) leq(n3, n1) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (361), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (899) ~ (leq(n3, n1) = 0) % 58.27/21.52 | % 58.27/21.52 | Using (898) and (899) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (898) leq(n3, n1) = 0 % 58.27/21.52 | (902) all_291_0_57 = 0 % 58.27/21.52 | % 58.27/21.52 | Equations (902) can reduce 330 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (404) ~ (pv1376 = n2) % 58.27/21.52 | (506) pv1376 = n3 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (506), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (507) pv1376 = n3 % 58.27/21.52 | % 58.27/21.52 | Equations (507) can reduce 403 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (403) ~ (pv1376 = n3) % 58.27/21.52 | (510) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0) % 58.27/21.52 | % 58.27/21.52 | Instantiating (510) with all_911_0_930 yields: % 58.27/21.52 | (910) ~ (all_911_0_930 = 0) & leq(n0, pv1376) = all_911_0_930 % 58.27/21.52 | % 58.27/21.52 | Applying alpha-rule on (910) yields: % 58.27/21.52 | (911) ~ (all_911_0_930 = 0) % 58.27/21.52 | (912) leq(n0, pv1376) = all_911_0_930 % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (145) with n0, pv1376, all_911_0_930, 0 and discharging atoms leq(n0, pv1376) = all_911_0_930, leq(n0, pv1376) = 0, yields: % 58.27/21.52 | (913) all_911_0_930 = 0 % 58.27/21.52 | % 58.27/21.52 | Equations (913) can reduce 911 to: % 58.27/21.52 | (199) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (658) pred(n3) = all_0_14_14 % 58.27/21.52 | (662) all_0_14_14 = n2 % 58.27/21.52 | % 58.27/21.52 | From (662) and (211) follows: % 58.27/21.52 | (917) succ(n2) = pv1376 % 58.27/21.52 | % 58.27/21.52 | From (662) and (161) follows: % 58.27/21.52 | (918) pred(pv1376) = n2 % 58.27/21.52 | % 58.27/21.52 | From (662) and (832) follows: % 58.27/21.52 | (919) leq(pv1376, n2) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (283), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (920) ~ (succ(n2) = pv1376) % 58.27/21.52 | % 58.27/21.52 | Using (917) and (920) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (917) succ(n2) = pv1376 % 58.27/21.52 | (507) pv1376 = n3 % 58.27/21.52 | % 58.27/21.52 | From (507) and (918) follows: % 58.27/21.52 | (163) pred(n3) = n2 % 58.27/21.52 | % 58.27/21.52 | From (507) and (919) follows: % 58.27/21.52 | (925) leq(n3, n2) = 0 % 58.27/21.52 | % 58.27/21.52 | Instantiating formula (71) with n2, n3, n3 and discharging atoms pred(n3) = n2, leq(n3, n2) = 0, ~ (gt(n3, n3) = 0), yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (754) pred(n1) = all_0_14_14 % 58.27/21.52 | (755) all_0_14_14 = n0 % 58.27/21.52 | % 58.27/21.52 | From (755) and (211) follows: % 58.27/21.52 | (929) succ(n0) = pv1376 % 58.27/21.52 | % 58.27/21.52 | From (755) and (832) follows: % 58.27/21.52 | (930) leq(pv1376, n0) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (284), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (931) ~ (succ(n0) = pv1376) % 58.27/21.52 | % 58.27/21.52 | Using (929) and (931) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (929) succ(n0) = pv1376 % 58.27/21.52 | (499) pv1376 = n1 % 58.27/21.52 | % 58.27/21.52 | From (499) and (930) follows: % 58.27/21.52 | (935) leq(n1, n0) = 0 % 58.27/21.52 | % 58.27/21.52 +-Applying beta-rule and splitting (838), into two cases. % 58.27/21.52 |-Branch one: % 58.27/21.52 | (936) ~ (leq(pv1376, n0) = 0) % 58.27/21.52 | % 58.27/21.52 | From (499) and (936) follows: % 58.27/21.52 | (937) ~ (leq(n1, n0) = 0) % 58.27/21.52 | % 58.27/21.52 | Using (935) and (937) yields: % 58.27/21.52 | (189) $false % 58.27/21.52 | % 58.27/21.52 |-The branch is then unsatisfiable % 58.27/21.52 |-Branch two: % 58.27/21.52 | (930) leq(pv1376, n0) = 0 % 58.27/21.52 | (940) all_596_0_502 = 0 % 58.27/21.52 | % 58.27/21.53 | Equations (940) can reduce 535 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (942) succ(all_0_14_14) = n0 % 58.27/21.53 | (943) all_114_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_14_14) = v0) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (943), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (340) all_114_0_38 = 0 % 58.27/21.53 | % 58.27/21.53 | Equations (340) can reduce 248 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (248) ~ (all_114_0_38 = 0) % 58.27/21.53 | (947) ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_14_14) = v0) % 58.27/21.53 | % 58.27/21.53 | Instantiating (947) with all_617_0_943 yields: % 58.27/21.53 | (948) ~ (all_617_0_943 = 0) & leq(n0, all_0_14_14) = all_617_0_943 % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (948) yields: % 58.27/21.53 | (949) ~ (all_617_0_943 = 0) % 58.27/21.53 | (950) leq(n0, all_0_14_14) = all_617_0_943 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, all_0_14_14, 0, all_617_0_943 and discharging atoms leq(n0, all_0_14_14) = all_617_0_943, leq(n0, all_0_14_14) = 0, yields: % 58.27/21.53 | (951) all_617_0_943 = 0 % 58.27/21.53 | % 58.27/21.53 | Equations (951) can reduce 949 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (427) ~ (all_0_11_11 = init) % 58.27/21.53 | (954) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n2) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 58.27/21.53 | % 58.27/21.53 | Instantiating (954) with all_158_0_962, all_158_1_963 yields: % 58.27/21.53 | (955) ( ~ (all_158_1_963 = 0) & leq(n0, n2) = all_158_1_963) | (leq(pv1376, n3) = all_158_0_962 & leq(n0, pv1376) = all_158_1_963 & ( ~ (all_158_0_962 = 0) | ~ (all_158_1_963 = 0))) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (955), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (956) ~ (all_158_1_963 = 0) & leq(n0, n2) = all_158_1_963 % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (956) yields: % 58.27/21.53 | (957) ~ (all_158_1_963 = 0) % 58.27/21.53 | (958) leq(n0, n2) = all_158_1_963 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, n2, all_158_1_963, 0 and discharging atoms leq(n0, n2) = all_158_1_963, leq(n0, n2) = 0, yields: % 58.27/21.53 | (959) all_158_1_963 = 0 % 58.27/21.53 | % 58.27/21.53 | Equations (959) can reduce 957 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (961) leq(pv1376, n3) = all_158_0_962 & leq(n0, pv1376) = all_158_1_963 & ( ~ (all_158_0_962 = 0) | ~ (all_158_1_963 = 0)) % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (961) yields: % 58.27/21.53 | (962) leq(pv1376, n3) = all_158_0_962 % 58.27/21.53 | (963) leq(n0, pv1376) = all_158_1_963 % 58.27/21.53 | (964) ~ (all_158_0_962 = 0) | ~ (all_158_1_963 = 0) % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with pv1376, n3, all_158_0_962, 0 and discharging atoms leq(pv1376, n3) = all_158_0_962, leq(pv1376, n3) = 0, yields: % 58.27/21.53 | (965) all_158_0_962 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, pv1376, all_158_1_963, 0 and discharging atoms leq(n0, pv1376) = all_158_1_963, leq(n0, pv1376) = 0, yields: % 58.27/21.53 | (959) all_158_1_963 = 0 % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (964), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (967) ~ (all_158_0_962 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (965) can reduce 967 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (965) all_158_0_962 = 0 % 58.27/21.53 | (957) ~ (all_158_1_963 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (959) can reduce 957 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (431) ~ (all_0_12_12 = init) % 58.27/21.53 | (973) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n1) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 58.27/21.53 | % 58.27/21.53 | Instantiating (973) with all_134_0_969, all_134_1_970 yields: % 58.27/21.53 | (974) ( ~ (all_134_1_970 = 0) & leq(n0, n1) = all_134_1_970) | (leq(pv1376, n3) = all_134_0_969 & leq(n0, pv1376) = all_134_1_970 & ( ~ (all_134_0_969 = 0) | ~ (all_134_1_970 = 0))) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (974), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (975) ~ (all_134_1_970 = 0) & leq(n0, n1) = all_134_1_970 % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (975) yields: % 58.27/21.53 | (976) ~ (all_134_1_970 = 0) % 58.27/21.53 | (977) leq(n0, n1) = all_134_1_970 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, n1, all_134_1_970, 0 and discharging atoms leq(n0, n1) = all_134_1_970, leq(n0, n1) = 0, yields: % 58.27/21.53 | (978) all_134_1_970 = 0 % 58.27/21.53 | % 58.27/21.53 | Equations (978) can reduce 976 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (980) leq(pv1376, n3) = all_134_0_969 & leq(n0, pv1376) = all_134_1_970 & ( ~ (all_134_0_969 = 0) | ~ (all_134_1_970 = 0)) % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (980) yields: % 58.27/21.53 | (981) leq(pv1376, n3) = all_134_0_969 % 58.27/21.53 | (982) leq(n0, pv1376) = all_134_1_970 % 58.27/21.53 | (983) ~ (all_134_0_969 = 0) | ~ (all_134_1_970 = 0) % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with pv1376, n3, all_134_0_969, 0 and discharging atoms leq(pv1376, n3) = all_134_0_969, leq(pv1376, n3) = 0, yields: % 58.27/21.53 | (984) all_134_0_969 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, pv1376, all_134_1_970, 0 and discharging atoms leq(n0, pv1376) = all_134_1_970, leq(n0, pv1376) = 0, yields: % 58.27/21.53 | (978) all_134_1_970 = 0 % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (983), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (986) ~ (all_134_0_969 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (984) can reduce 986 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (984) all_134_0_969 = 0 % 58.27/21.53 | (976) ~ (all_134_1_970 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (978) can reduce 976 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (435) ~ (all_0_13_13 = init) % 58.27/21.53 | (992) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, n0) = v0) | (leq(pv1376, n3) = v1 & leq(n0, pv1376) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 58.27/21.53 | % 58.27/21.53 | Instantiating (992) with all_52_0_976, all_52_1_977 yields: % 58.27/21.53 | (993) ( ~ (all_52_1_977 = 0) & leq(n0, n0) = all_52_1_977) | (leq(pv1376, n3) = all_52_0_976 & leq(n0, pv1376) = all_52_1_977 & ( ~ (all_52_0_976 = 0) | ~ (all_52_1_977 = 0))) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (993), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (994) ~ (all_52_1_977 = 0) & leq(n0, n0) = all_52_1_977 % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (994) yields: % 58.27/21.53 | (995) ~ (all_52_1_977 = 0) % 58.27/21.53 | (996) leq(n0, n0) = all_52_1_977 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (27) with all_52_1_977, n0 and discharging atoms leq(n0, n0) = all_52_1_977, yields: % 58.27/21.53 | (997) all_52_1_977 = 0 % 58.27/21.53 | % 58.27/21.53 | Equations (997) can reduce 995 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (999) leq(pv1376, n3) = all_52_0_976 & leq(n0, pv1376) = all_52_1_977 & ( ~ (all_52_0_976 = 0) | ~ (all_52_1_977 = 0)) % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (999) yields: % 58.27/21.53 | (1000) leq(pv1376, n3) = all_52_0_976 % 58.27/21.53 | (1001) leq(n0, pv1376) = all_52_1_977 % 58.27/21.53 | (1002) ~ (all_52_0_976 = 0) | ~ (all_52_1_977 = 0) % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with pv1376, n3, all_52_0_976, 0 and discharging atoms leq(pv1376, n3) = all_52_0_976, leq(pv1376, n3) = 0, yields: % 58.27/21.53 | (1003) all_52_0_976 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, pv1376, all_52_1_977, 0 and discharging atoms leq(n0, pv1376) = all_52_1_977, leq(n0, pv1376) = 0, yields: % 58.27/21.53 | (997) all_52_1_977 = 0 % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (1002), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (1005) ~ (all_52_0_976 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (1003) can reduce 1005 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (1003) all_52_0_976 = 0 % 58.27/21.53 | (995) ~ (all_52_1_977 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (997) can reduce 995 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (364) ~ (all_0_7_7 = init) % 58.27/21.53 | (1011) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(pv20, all_0_15_15) = v3 & leq(pv19, all_0_16_16) = v1 & leq(n0, pv20) = v2 & leq(n0, pv19) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 58.27/21.53 | % 58.27/21.53 | Instantiating (1011) with all_41_0_979, all_41_1_980, all_41_2_981, all_41_3_982 yields: % 58.27/21.53 | (1012) leq(pv20, all_0_15_15) = all_41_0_979 & leq(pv19, all_0_16_16) = all_41_2_981 & leq(n0, pv20) = all_41_1_980 & leq(n0, pv19) = all_41_3_982 & ( ~ (all_41_0_979 = 0) | ~ (all_41_1_980 = 0) | ~ (all_41_2_981 = 0) | ~ (all_41_3_982 = 0)) % 58.27/21.53 | % 58.27/21.53 | Applying alpha-rule on (1012) yields: % 58.27/21.53 | (1013) leq(n0, pv20) = all_41_1_980 % 58.27/21.53 | (1014) leq(n0, pv19) = all_41_3_982 % 58.27/21.53 | (1015) ~ (all_41_0_979 = 0) | ~ (all_41_1_980 = 0) | ~ (all_41_2_981 = 0) | ~ (all_41_3_982 = 0) % 58.27/21.53 | (1016) leq(pv20, all_0_15_15) = all_41_0_979 % 58.27/21.53 | (1017) leq(pv19, all_0_16_16) = all_41_2_981 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with pv20, all_0_15_15, all_41_0_979, 0 and discharging atoms leq(pv20, all_0_15_15) = all_41_0_979, leq(pv20, all_0_15_15) = 0, yields: % 58.27/21.53 | (1018) all_41_0_979 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with pv19, all_0_16_16, all_41_2_981, 0 and discharging atoms leq(pv19, all_0_16_16) = all_41_2_981, leq(pv19, all_0_16_16) = 0, yields: % 58.27/21.53 | (1019) all_41_2_981 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, pv20, all_41_1_980, 0 and discharging atoms leq(n0, pv20) = all_41_1_980, leq(n0, pv20) = 0, yields: % 58.27/21.53 | (1020) all_41_1_980 = 0 % 58.27/21.53 | % 58.27/21.53 | Instantiating formula (145) with n0, pv19, all_41_3_982, 0 and discharging atoms leq(n0, pv19) = all_41_3_982, leq(n0, pv19) = 0, yields: % 58.27/21.53 | (1021) all_41_3_982 = 0 % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (1015), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (1022) ~ (all_41_0_979 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (1018) can reduce 1022 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (1018) all_41_0_979 = 0 % 58.27/21.53 | (1025) ~ (all_41_1_980 = 0) | ~ (all_41_2_981 = 0) | ~ (all_41_3_982 = 0) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (1025), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (1026) ~ (all_41_1_980 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (1020) can reduce 1026 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (1020) all_41_1_980 = 0 % 58.27/21.53 | (1029) ~ (all_41_2_981 = 0) | ~ (all_41_3_982 = 0) % 58.27/21.53 | % 58.27/21.53 +-Applying beta-rule and splitting (1029), into two cases. % 58.27/21.53 |-Branch one: % 58.27/21.53 | (1030) ~ (all_41_2_981 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (1019) can reduce 1030 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 |-Branch two: % 58.27/21.53 | (1019) all_41_2_981 = 0 % 58.27/21.53 | (1033) ~ (all_41_3_982 = 0) % 58.27/21.53 | % 58.27/21.53 | Equations (1021) can reduce 1033 to: % 58.27/21.53 | (199) $false % 58.27/21.53 | % 58.27/21.53 |-The branch is then unsatisfiable % 58.27/21.53 % SZS output end Proof for theBenchmark % 58.27/21.53 % 58.27/21.53 20894ms %------------------------------------------------------------------------------