TSTP Solution File: SWV024+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV024+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n020.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 17:49:45 EDT 2022
% Result : Theorem 25.59s 7.41s
% Output : Proof 54.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV024+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 18:45:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.58/0.61 ____ _
% 0.58/0.61 ___ / __ \_____(_)___ ________ __________
% 0.58/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.61
% 0.58/0.61 A Theorem Prover for First-Order Logic
% 0.58/0.61 (ePrincess v.1.0)
% 0.58/0.61
% 0.58/0.61 (c) Philipp Rümmer, 2009-2015
% 0.58/0.61 (c) Peter Backeman, 2014-2015
% 0.58/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.61 Bug reports to peter@backeman.se
% 0.58/0.61
% 0.58/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.61
% 0.58/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.21/1.12 Prover 0: Preprocessing ...
% 4.20/1.61 Prover 0: Warning: ignoring some quantifiers
% 4.32/1.64 Prover 0: Constructing countermodel ...
% 19.64/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.31/6.12 Prover 1: Preprocessing ...
% 21.41/6.36 Prover 1: Warning: ignoring some quantifiers
% 21.41/6.37 Prover 1: Constructing countermodel ...
% 25.59/7.41 Prover 1: proved (1460ms)
% 25.59/7.41 Prover 0: stopped
% 25.59/7.41
% 25.59/7.41 No countermodel exists, formula is valid
% 25.59/7.41 % SZS status Theorem for theBenchmark
% 25.59/7.41
% 25.59/7.41 Generating proof ... Warning: ignoring some quantifiers
% 53.31/18.29 found it (size 281)
% 53.31/18.29
% 53.31/18.29 % SZS output start Proof for theBenchmark
% 53.31/18.29 Assumed formulas after preprocessing and simplification:
% 53.31/18.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & minus(n3, n1) = v2 & a_select2(s_try7_init, n2) = v6 & a_select2(s_try7_init, n1) = v5 & a_select2(s_try7_init, n0) = v4 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv20, v1) = 0 & leq(pv19, v0) = 0 & leq(pv8, v1) = 0 & leq(pv7, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv8) = 0 & leq(n0, pv7) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v3 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v14] : ? [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ! [v35] : ( ~ (tptp_mmul(v28, v29) = v30) | ~ (tptp_mmul(v21, v25) = v26) | ~ (tptp_mmul(v20, v26) = v27) | ~ (tptp_mmul(v19, v22) = v23) | ~ (tptp_mmul(v18, v23) = v24) | ~ (tptp_mmul(v17, v30) = v31) | ~ (tptp_madd(v24, v27) = v28) | ~ (tptp_madd(v16, v31) = v32) | ~ (trans(v20) = v25) | ~ (trans(v18) = v22) | ~ (trans(v17) = v29) | ~ (a_select3(v32, v33, v34) = v35) | ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ((v41 = 0 & v40 = 0 & v39 = 0 & v38 = 0 & ~ (v43 = v42) & a_select3(v21, v37, v36) = v43 & a_select3(v21, v36, v37) = v42 & leq(v37, v14) = 0 & leq(v36, v14) = 0 & leq(n0, v37) = 0 & leq(n0, v36) = 0) | (v41 = 0 & v40 = 0 & v39 = 0 & v38 = 0 & ~ (v43 = v42) & a_select3(v19, v37, v36) = v43 & a_select3(v19, v36, v37) = v42 & leq(v37, v15) = 0 & leq(v36, v15) = 0 & leq(n0, v37) = 0 & leq(n0, v36) = 0) | (v41 = 0 & v40 = 0 & v39 = 0 & v38 = 0 & ~ (v43 = v42) & a_select3(v16, v37, v36) = v43 & a_select3(v16, v36, v37) = v42 & leq(v37, v14) = 0 & leq(v36, v14) = 0 & leq(n0, v37) = 0 & leq(n0, v36) = 0) | (a_select3(v32, v34, v33) = v40 & leq(v34, v14) = v39 & leq(v33, v14) = v37 & leq(n0, v34) = v38 & leq(n0, v33) = v36 & ( ~ (v39 = 0) | ~ (v38 = 0) | ~ (v37 = 0) | ~ (v36 = 0) | v40 = v35)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v20 | ~ (tptp_const_array2(v21, v22, v20) = v23) | ~ (a_select3(v23, v14, v17) = v24) | ~ (dim(v18, v19) = v22) | ~ (dim(v15, v16) = v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (leq(v18, v17) = v27 & leq(v17, v19) = v28 & leq(v15, v14) = v25 & leq(v14, v16) = v26 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0)))) & ? [v14] : ? [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tptp_mmul(v17, v18) = v19) | ~ (tptp_mmul(v16, v19) = v20) | ~ (trans(v16) = v18) | ~ (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(v17, v25, v24) = v31 & a_select3(v17, v24, v25) = v30 & leq(v25, v15) = 0 & leq(v24, v15) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (a_select3(v20, v22, v21) = v28 & leq(v22, v14) = v27 & leq(v21, v14) = v25 & leq(n0, v22) = v26 & leq(n0, v21) = v24 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | v28 = v23)))) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (tptp_mmul(v16, v17) = v18) | ~ (tptp_mmul(v15, v18) = v19) | ~ (trans(v15) = v17) | ~ (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(v16, v24, v23) = v30 & a_select3(v16, v23, v24) = v29 & leq(v24, v14) = 0 & leq(v23, v14) = 0 & leq(n0, v24) = 0 & leq(n0, v23) = 0) | (a_select3(v19, v21, v20) = v27 & leq(v21, v14) = v26 & leq(v20, v14) = v24 & leq(n0, v21) = v25 & leq(n0, v20) = v23 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v27 = v22)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (tptp_update3(v18, v16, v17, v19) = v20) | ~ (a_select3(v20, v14, v15) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v28 = v19) & a_select3(v18, v22, v23) = v28 & leq(v23, v17) = 0 & leq(v22, v16) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (leq(v15, v17) = v25 & leq(v14, v16) = v23 & leq(n0, v15) = v24 & leq(n0, v14) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0))))) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v14 | v17 = v15 | ~ (tptp_update3(v18, v15, v16, v19) = v20) | ~ (a_select3(v20, v17, v16) = v21) | ? [v22] : ( ~ (v22 = v14) & a_select3(v18, v17, v16) = v22)) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_update3(v15, v18, v18, v19) = v20) | ~ (a_select3(v20, v16, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v15, v23, v22) = v29 & a_select3(v15, v22, v23) = v28 & leq(v23, v14) = 0 & leq(v22, v14) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v20, v17, v16) = v28 & leq(v18, v14) = v27 & leq(v17, v14) = v25 & leq(v16, v14) = v23 & leq(n0, v18) = v26 & leq(n0, v17) = v24 & leq(n0, v16) = v22 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v28 = v21)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (dim(v15, v16) = v18) | ~ (tptp_const_array1(v18, v17) = v19) | ~ (a_select2(v19, v14) = v20) | ? [v21] : ? [v22] : (leq(v15, v14) = v21 & leq(v14, v16) = v22 & ( ~ (v22 = 0) | ~ (v21 = 0)))) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v14 | v16 = v15 | ~ (tptp_update2(v17, v15, v18) = v19) | ~ (a_select2(v19, v16) = v20) | ? [v21] : ( ~ (v21 = v14) & a_select2(v17, v16) = v21)) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_msub(v15, v16) = v17) | ~ (a_select3(v17, v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v16, v22, v21) = v28 & a_select3(v16, v21, v22) = v27 & leq(v22, v14) = 0 & leq(v21, v14) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v15, v22, v21) = v28 & a_select3(v15, v21, v22) = v27 & leq(v22, v14) = 0 & leq(v21, v14) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v17, v19, v18) = v25 & leq(v19, v14) = v24 & leq(v18, v14) = v22 & leq(n0, v19) = v23 & leq(n0, v18) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v25 = v20)))) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_madd(v15, v16) = v17) | ~ (a_select3(v17, v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v16, v22, v21) = v28 & a_select3(v16, v21, v22) = v27 & leq(v22, v14) = 0 & leq(v21, v14) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v15, v22, v21) = v28 & a_select3(v15, v21, v22) = v27 & leq(v22, v14) = 0 & leq(v21, v14) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v17, v19, v18) = v25 & leq(v19, v14) = v24 & leq(v18, v14) = v22 & leq(n0, v19) = v23 & leq(n0, v18) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v25 = v20)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (tptp_update2(v16, v15, v17) = v18) | ~ (a_select2(v18, v14) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & v21 = 0 & ~ (v23 = v17) & a_select2(v16, v20) = v23 & leq(v20, v15) = 0 & leq(n0, v20) = 0) | (leq(v14, v15) = v21 & leq(n0, v14) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (tptp_update3(v14, v15, v16, v17) = v18) | ~ (a_select3(v18, v15, v16) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v15 = v14 | ~ (tptp_update3(v19, v18, v17, v16) = v15) | ~ (tptp_update3(v19, v18, v17, v16) = v14)) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (inv(v15) = v16) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v14) = 0 & leq(v20, v14) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v14) = v23 & leq(v17, v14) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (trans(v15) = v16) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v14) = 0 & leq(v20, v14) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v14) = v23 & leq(v17, v14) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update2(v14, v15, v16) = v17) | ~ (a_select2(v17, v15) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (succ(v15) = v17) | ~ (succ(v14) = v16) | ~ (leq(v16, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & leq(v14, v15) = v19)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (tptp_update2(v18, v17, v16) = v15) | ~ (tptp_update2(v18, v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (sum(v18, v17, v16) = v15) | ~ (sum(v18, v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (tptp_const_array2(v18, v17, v16) = v15) | ~ (tptp_const_array2(v18, v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = v14 | ~ (a_select3(v18, v17, v16) = v15) | ~ (a_select3(v18, v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (uniform_int_rnd(v15, v14) = v16) | ~ (leq(v16, v14) = v17) | ? [v18] : ( ~ (v18 = 0) & leq(n0, v14) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (succ(v15) = v16) | ~ (leq(v14, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & leq(v14, v15) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (succ(v15) = v16) | ~ (gt(v16, v14) = v17) | ? [v18] : ( ~ (v18 = 0) & leq(v14, v15) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (pred(v15) = v16) | ~ (leq(v14, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & gt(v15, v14) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (leq(v14, v16) = v17) | ~ (leq(v14, v15) = 0) | ? [v18] : ( ~ (v18 = 0) & leq(v15, v16) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (gt(v14, v16) = v17) | ~ (gt(v14, v15) = 0) | ? [v18] : ( ~ (v18 = 0) & gt(v15, v16) = v18)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (minus(v17, v16) = v15) | ~ (minus(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (plus(v17, v16) = v15) | ~ (plus(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (tptp_mmul(v17, v16) = v15) | ~ (tptp_mmul(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (tptp_msub(v17, v16) = v15) | ~ (tptp_msub(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (tptp_madd(v17, v16) = v15) | ~ (tptp_madd(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (dim(v17, v16) = v15) | ~ (dim(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (tptp_const_array1(v17, v16) = v15) | ~ (tptp_const_array1(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (a_select2(v17, v16) = v15) | ~ (a_select2(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (uniform_int_rnd(v17, v16) = v15) | ~ (uniform_int_rnd(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (geq(v17, v16) = v15) | ~ (geq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (lt(v17, v16) = v15) | ~ (lt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (leq(v17, v16) = v15) | ~ (leq(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (gt(v17, v16) = v15) | ~ (gt(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (succ(v15) = v17) | ~ (succ(v14) = v16) | ~ (leq(v16, v17) = 0) | leq(v14, v15) = 0) & ! [v14] : ! [v15] : ! [v16] : (v16 = init | ~ (a_select3(simplex7_init, v15, v14) = v16) | ~ (leq(v14, n2) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & leq(n0, v14) = v17) | (leq(v15, n3) = v18 & leq(n0, v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (gt(v15, v14) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v14, v15) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | v15 = v14 | ~ (gt(v14, v15) = v16) | gt(v15, v14) = 0) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (succ(v14) = v15) | ~ (gt(v15, v14) = v16)) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (geq(v14, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v15, v14) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (lt(v14, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & gt(v15, v14) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (inv(v16) = v15) | ~ (inv(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (trans(v16) = v15) | ~ (trans(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (succ(v16) = v15) | ~ (succ(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (pred(v16) = v15) | ~ (pred(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (minus(v14, v15) = v16) | ~ (leq(v16, v14) = 0) | leq(n0, v15) = 0) & ! [v14] : ! [v15] : ! [v16] : ( ~ (uniform_int_rnd(v15, v14) = v16) | ? [v17] : ? [v18] : (leq(n0, v16) = v18 & leq(n0, v14) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (succ(v15) = v16) | ~ (gt(v16, v14) = 0) | leq(v14, v15) = 0) & ! [v14] : ! [v15] : ! [v16] : ( ~ (succ(v14) = v16) | ~ (leq(v16, v15) = 0) | gt(v15, v14) = 0) & ! [v14] : ! [v15] : ! [v16] : ( ~ (pred(v15) = v16) | ~ (leq(v14, v16) = 0) | gt(v15, v14) = 0) & ! [v14] : ! [v15] : (v15 = init | ~ (a_select2(s_center7_init, v14) = v15) | ? [v16] : ? [v17] : (leq(v14, n2) = v17 & leq(n0, v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = init | ~ (a_select2(s_values7_init, v14) = v15) | ? [v16] : ? [v17] : (leq(v14, n3) = v17 & leq(n0, v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v14) = v15)) & ! [v14] : ! [v15] : (v15 = n0 | ~ (sum(n0, tptp_minus_1, v14) = v15)) & ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v14, v14) = v15)) & ! [v14] : ! [v15] : ( ~ (minus(v14, n1) = v15) | pred(v14) = v15) & ! [v14] : ! [v15] : ( ~ (plus(v14, n5) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (succ(v19) = v15 & succ(v18) = v19 & succ(v17) = v18 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(v14, n4) = v15) | ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v15 & succ(v17) = v18 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(v14, n3) = v15) | ? [v16] : ? [v17] : (succ(v17) = v15 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(v14, n2) = v15) | ? [v16] : (succ(v16) = v15 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(v14, n1) = v15) | succ(v14) = v15) & ! [v14] : ! [v15] : ( ~ (plus(n5, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (succ(v19) = v15 & succ(v18) = v19 & succ(v17) = v18 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(n4, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v15 & succ(v17) = v18 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(n3, v14) = v15) | ? [v16] : ? [v17] : (succ(v17) = v15 & succ(v16) = v17 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(n2, v14) = v15) | ? [v16] : (succ(v16) = v15 & succ(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (plus(n1, v14) = v15) | succ(v14) = v15) & ! [v14] : ! [v15] : ( ~ (succ(v14) = v15) | pred(v15) = v14) & ! [v14] : ! [v15] : ( ~ (pred(v14) = v15) | succ(v15) = v14) & ! [v14] : ! [v15] : ( ~ (geq(v14, v15) = 0) | leq(v15, v14) = 0) & ! [v14] : ! [v15] : ( ~ (lt(v14, v15) = 0) | gt(v15, v14) = 0) & ! [v14] : ! [v15] : ( ~ (gt(v15, v14) = 0) | leq(v14, v15) = 0) & ! [v14] : (v14 = n5 | v14 = n4 | v14 = n3 | v14 = n2 | v14 = n1 | v14 = n0 | ~ (leq(v14, n5) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v14) = v15)) & ! [v14] : (v14 = n4 | v14 = n3 | v14 = n2 | v14 = n1 | v14 = n0 | ~ (leq(v14, n4) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v14) = v15)) & ! [v14] : (v14 = n3 | v14 = n2 | v14 = n1 | v14 = n0 | ~ (leq(v14, n3) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v14) = v15)) & ! [v14] : (v14 = n2 | v14 = n1 | v14 = n0 | ~ (leq(v14, n2) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v14) = v15)) & ! [v14] : (v14 = n1 | v14 = n0 | ~ (leq(v14, n1) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v14) = v15)) & ! [v14] : (v14 = n0 | ~ (leq(n0, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(v14, n0) = v15)) & ! [v14] : ( ~ (leq(v14, v2) = 0) | ? [v15] : ? [v16] : (a_select2(s_try7_init, v14) = v16 & leq(n0, v14) = v15 & ( ~ (v15 = 0) | v16 = init))) & ! [v14] : ~ (gt(v14, v14) = 0) & ( ~ (v6 = init) | ~ (v5 = init) | ~ (v4 = init) | (v12 = 0 & v11 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = init) & a_select3(simplex7_init, v10, v7) = v13 & leq(v10, n3) = 0 & leq(v7, n2) = 0 & leq(n0, v10) = 0 & leq(n0, v7) = 0) | (v9 = 0 & v8 = 0 & ~ (v10 = init) & a_select2(s_try7_init, v7) = v10 & leq(v7, v2) = 0 & leq(n0, v7) = 0) | (v9 = 0 & v8 = 0 & ~ (v10 = init) & a_select2(s_center7_init, v7) = v10 & leq(v7, n2) = 0 & leq(n0, v7) = 0) | (v9 = 0 & v8 = 0 & ~ (v10 = init) & a_select2(s_values7_init, v7) = v10 & leq(v7, n3) = 0 & leq(n0, v7) = 0) | (v3 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))) & ( ~ (v3 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)))
% 53.48/18.38 | 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 yields:
% 53.48/18.38 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = all_0_12_12 & minus(n410, n1) = all_0_13_13 & minus(n3, n1) = all_0_11_11 & a_select2(s_try7_init, n2) = all_0_7_7 & a_select2(s_try7_init, n1) = all_0_8_8 & a_select2(s_try7_init, n0) = all_0_9_9 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv20, all_0_12_12) = 0 & leq(pv19, all_0_13_13) = 0 & leq(pv8, all_0_12_12) = 0 & leq(pv7, all_0_13_13) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv8) = 0 & leq(n0, pv7) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_10_10 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ( ~ (leq(v0, all_0_11_11) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = init) | ~ (all_0_8_8 = init) | ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))) & ( ~ (all_0_10_10 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init))
% 53.83/18.41 |
% 53.83/18.41 | Applying alpha-rule on (1) yields:
% 53.83/18.41 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 53.83/18.41 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 53.83/18.41 | (4) leq(n0, s_best7) = 0
% 53.83/18.41 | (5) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 53.83/18.41 | (6) succ(n4) = n5
% 53.83/18.41 | (7) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.83/18.41 | (8) ? [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))))
% 53.83/18.41 | (9) gt(n1, tptp_minus_1) = 0
% 53.83/18.41 | (10) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 53.83/18.42 | (11) ? [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))
% 53.83/18.42 | (12) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 53.83/18.42 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 53.83/18.42 | (14) leq(pv7, all_0_13_13) = 0
% 53.83/18.42 | (15) gt(n5, n0) = 0
% 53.83/18.42 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 53.83/18.42 | (17) gt(n410, n3) = 0
% 53.83/18.42 | (18) gt(n5, n1) = 0
% 53.83/18.42 | (19) gt(n2, tptp_minus_1) = 0
% 53.83/18.42 | (20) leq(pv8, all_0_12_12) = 0
% 53.83/18.42 | (21) ! [v0] : ~ (gt(v0, v0) = 0)
% 53.83/18.42 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 53.83/18.42 | (23) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 53.83/18.42 | (24) gt(n5, n4) = 0
% 53.83/18.42 | (25) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.83/18.42 | (26) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 53.83/18.42 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 53.83/18.42 | (28) ? [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))))
% 53.83/18.42 | (29) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 53.83/18.42 | (30) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 53.83/18.42 | (31) leq(n0, pv8) = 0
% 53.83/18.42 | (32) gt(n410, n1) = 0
% 53.83/18.42 | (33) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 53.83/18.42 | (34) gt(n5, n3) = 0
% 53.83/18.42 | (35) minus(n410, n1) = all_0_13_13
% 53.83/18.42 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 53.83/18.42 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 53.83/18.42 | (38) ! [v0] : ( ~ (leq(v0, all_0_11_11) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 53.83/18.42 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 53.83/18.42 | (40) succ(n3) = n4
% 53.83/18.42 | (41) s_best7_init = init
% 53.83/18.42 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 53.83/18.42 | (43) leq(s_best7, n3) = 0
% 53.83/18.42 | (44) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 53.83/18.42 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 53.83/18.42 | (46) gt(n3, n0) = 0
% 53.83/18.42 | (47) ? [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))))
% 53.83/18.42 | (48) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.83/18.42 | (49) gt(n4, n0) = 0
% 53.83/18.43 | (50) ? [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))))
% 53.83/18.43 | (51) gt(n330, n3) = 0
% 53.83/18.43 | (52) gt(n2, n1) = 0
% 53.83/18.43 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 53.83/18.43 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 53.83/18.43 | (55) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 53.83/18.43 | (56) succ(tptp_minus_1) = n0
% 53.83/18.43 | (57) gt(n2, n0) = 0
% 53.83/18.43 | (58) gt(n4, n3) = 0
% 53.83/18.43 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 53.83/18.43 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 53.83/18.43 | (61) gt(n5, n2) = 0
% 53.83/18.43 | (62) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 53.83/18.43 | (63) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.83/18.43 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 53.83/18.43 | (65) ! [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)))))
% 53.83/18.43 | (66) true
% 53.83/18.43 | (67) gt(n4, n2) = 0
% 53.83/18.43 | (68) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 53.83/18.43 | (69) gt(n410, n330) = 0
% 53.83/18.43 | (70) leq(n0, s_worst7) = 0
% 53.83/18.43 | (71) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 53.83/18.43 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 53.83/18.43 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 53.83/18.43 | (74) gt(n330, n4) = 0
% 53.83/18.43 | (75) gt(n330, n1) = 0
% 53.83/18.43 | (76) a_select2(s_try7_init, n2) = all_0_7_7
% 53.83/18.43 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 53.83/18.43 | (78) minus(n3, n1) = all_0_11_11
% 53.83/18.43 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 53.83/18.43 | (80) ! [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))))
% 53.83/18.43 | (81) ? [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))
% 53.83/18.43 | (82) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 53.83/18.43 | (83) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.83/18.43 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 53.83/18.43 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 53.83/18.43 | (86) minus(n330, n1) = all_0_12_12
% 53.83/18.44 | (87) gt(n410, n4) = 0
% 53.83/18.44 | (88) ? [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))))
% 53.83/18.44 | (89) gt(n3, n1) = 0
% 53.83/18.44 | (90) gt(n330, n0) = 0
% 53.83/18.44 | (91) ! [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))
% 53.83/18.44 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 53.83/18.44 | (93) ! [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))
% 53.83/18.44 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 53.83/18.44 | (95) ? [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))))
% 53.83/18.44 | (96) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 53.83/18.44 | (97) leq(n0, pv20) = 0
% 53.83/18.44 | (98) leq(n0, pv19) = 0
% 53.83/18.44 | (99) leq(s_worst7, n3) = 0
% 53.83/18.44 | (100) gt(n410, n0) = 0
% 53.83/18.44 | (101) leq(n0, pv7) = 0
% 53.83/18.44 | (102) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 53.83/18.44 | (103) leq(pv20, all_0_12_12) = 0
% 53.83/18.44 | (104) s_sworst7_init = init
% 53.83/18.44 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 53.83/18.44 | (106) gt(n410, n2) = 0
% 53.83/18.44 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 53.83/18.44 | (108) ~ (all_0_10_10 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 53.83/18.44 | (109) leq(pv19, all_0_13_13) = 0
% 53.83/18.44 | (110) ? [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))))
% 53.83/18.44 | (111) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 53.83/18.44 | (112) leq(n0, s_sworst7) = 0
% 53.83/18.44 | (113) gt(n3, tptp_minus_1) = 0
% 53.83/18.44 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 53.83/18.44 | (115) leq(s_sworst7, n3) = 0
% 53.83/18.44 | (116) gt(n4, tptp_minus_1) = 0
% 53.83/18.44 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 53.83/18.44 | (118) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 53.83/18.44 | (119) gt(n5, tptp_minus_1) = 0
% 53.83/18.44 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 53.83/18.44 | (121) gt(n330, n2) = 0
% 53.83/18.45 | (122) s_worst7_init = init
% 53.83/18.45 | (123) gt(n4, n1) = 0
% 53.83/18.45 | (124) gt(n330, n5) = 0
% 53.83/18.45 | (125) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 53.83/18.45 | (126) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 53.83/18.45 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 53.83/18.45 | (128) succ(n0) = n1
% 53.83/18.45 | (129) gt(n0, tptp_minus_1) = 0
% 53.83/18.45 | (130) ! [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)))))
% 53.83/18.45 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 53.83/18.45 | (132) ! [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))))
% 53.83/18.45 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 53.83/18.45 | (134) gt(loopcounter, n1) = all_0_10_10
% 53.83/18.45 | (135) ~ (all_0_7_7 = init) | ~ (all_0_8_8 = init) | ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 53.83/18.45 | (136) gt(n1, n0) = 0
% 53.83/18.45 | (137) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 53.83/18.45 | (138) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 53.83/18.45 | (139) ? [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))))
% 53.83/18.45 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 53.83/18.45 | (141) succ(n2) = n3
% 53.83/18.45 | (142) ~ (def = use)
% 53.83/18.45 | (143) gt(n410, tptp_minus_1) = 0
% 53.83/18.45 | (144) a_select2(s_try7_init, n1) = all_0_8_8
% 53.83/18.45 | (145) a_select2(s_try7_init, n0) = all_0_9_9
% 53.83/18.45 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 53.83/18.45 | (147) gt(n3, n2) = 0
% 53.83/18.45 | (148) succ(n1) = n2
% 53.83/18.45 | (149) gt(n330, tptp_minus_1) = 0
% 53.83/18.45 | (150) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 53.83/18.45 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 53.83/18.46 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 53.83/18.46 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 53.83/18.46 | (154) ! [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)))))
% 53.83/18.46 | (155) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 53.83/18.46 | (156) gt(n410, n5) = 0
% 53.83/18.46 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (16) with s_try7_init, n1, all_0_8_8, all_0_7_7 and discharging atoms a_select2(s_try7_init, n1) = all_0_8_8, yields:
% 53.83/18.46 | (158) all_0_7_7 = all_0_8_8 | ~ (a_select2(s_try7_init, n1) = all_0_7_7)
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (16) with s_try7_init, n0, all_0_9_9, all_0_7_7 and discharging atoms a_select2(s_try7_init, n0) = all_0_9_9, yields:
% 53.83/18.46 | (159) all_0_7_7 = all_0_9_9 | ~ (a_select2(s_try7_init, n0) = all_0_7_7)
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (16) with s_try7_init, n0, all_0_9_9, all_0_8_8 and discharging atoms a_select2(s_try7_init, n0) = all_0_9_9, yields:
% 53.83/18.46 | (160) all_0_8_8 = all_0_9_9 | ~ (a_select2(s_try7_init, n0) = all_0_8_8)
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (10) with all_0_11_11, n3 and discharging atoms minus(n3, n1) = all_0_11_11, yields:
% 53.83/18.46 | (161) pred(n3) = all_0_11_11
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (30) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 53.83/18.46 | (162) pred(n3) = n2
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (38) with n0 yields:
% 53.83/18.46 | (163) ~ (leq(n0, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (155) with all_0_10_10, loopcounter, n1 and discharging atoms gt(loopcounter, n1) = all_0_10_10, yields:
% 53.83/18.46 | (164) all_0_10_10 = 0 | loopcounter = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n1, loopcounter) = v0)
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (60) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields:
% 53.83/18.46 | (165) leq(n2, n2) = 0
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (68) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields:
% 53.83/18.46 | (166) leq(n1, n2) = 0
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (68) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 53.83/18.46 | (167) leq(n0, n2) = 0
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (68) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 53.83/18.46 | (168) leq(n0, n1) = 0
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (84) with n3, n2, all_0_11_11 and discharging atoms pred(n3) = all_0_11_11, pred(n3) = n2, yields:
% 53.83/18.46 | (169) all_0_11_11 = n2
% 53.83/18.46 |
% 53.83/18.46 +-Applying beta-rule and splitting (163), into two cases.
% 53.83/18.46 |-Branch one:
% 53.83/18.46 | (170) ~ (leq(n0, all_0_11_11) = 0)
% 53.83/18.46 |
% 53.83/18.46 | From (169) and (170) follows:
% 53.83/18.46 | (171) ~ (leq(n0, n2) = 0)
% 53.83/18.46 |
% 53.83/18.46 | Using (167) and (171) yields:
% 53.83/18.46 | (172) $false
% 53.83/18.46 |
% 53.83/18.46 |-The branch is then unsatisfiable
% 53.83/18.46 |-Branch two:
% 53.83/18.46 | (173) leq(n0, all_0_11_11) = 0
% 53.83/18.46 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.46 |
% 53.83/18.46 | Instantiating (174) with all_55_0_27, all_55_1_28 yields:
% 53.83/18.46 | (175) a_select2(s_try7_init, n0) = all_55_0_27 & leq(n0, n0) = all_55_1_28 & ( ~ (all_55_1_28 = 0) | all_55_0_27 = init)
% 53.83/18.46 |
% 53.83/18.46 | Applying alpha-rule on (175) yields:
% 53.83/18.46 | (176) a_select2(s_try7_init, n0) = all_55_0_27
% 53.83/18.46 | (177) leq(n0, n0) = all_55_1_28
% 53.83/18.46 | (178) ~ (all_55_1_28 = 0) | all_55_0_27 = init
% 53.83/18.46 |
% 53.83/18.46 | From (169) and (173) follows:
% 53.83/18.46 | (167) leq(n0, n2) = 0
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (16) with s_try7_init, n0, all_55_0_27, all_0_9_9 and discharging atoms a_select2(s_try7_init, n0) = all_55_0_27, a_select2(s_try7_init, n0) = all_0_9_9, yields:
% 53.83/18.46 | (180) all_55_0_27 = all_0_9_9
% 53.83/18.46 |
% 53.83/18.46 | Instantiating formula (150) with all_55_1_28, n0 and discharging atoms leq(n0, n0) = all_55_1_28, yields:
% 53.83/18.46 | (181) all_55_1_28 = 0
% 53.83/18.46 |
% 53.83/18.46 | From (180) and (176) follows:
% 53.83/18.46 | (145) a_select2(s_try7_init, n0) = all_0_9_9
% 53.83/18.46 |
% 53.83/18.46 +-Applying beta-rule and splitting (178), into two cases.
% 53.83/18.46 |-Branch one:
% 53.83/18.46 | (183) ~ (all_55_1_28 = 0)
% 53.83/18.46 |
% 53.83/18.46 | Equations (181) can reduce 183 to:
% 53.83/18.46 | (184) $false
% 53.83/18.46 |
% 53.83/18.46 |-The branch is then unsatisfiable
% 53.83/18.46 |-Branch two:
% 53.83/18.46 | (181) all_55_1_28 = 0
% 53.83/18.47 | (186) all_55_0_27 = init
% 53.83/18.47 |
% 53.83/18.47 | Combining equations (186,180) yields a new equation:
% 53.83/18.47 | (187) all_0_9_9 = init
% 53.83/18.47 |
% 53.83/18.47 | From (187) and (145) follows:
% 53.83/18.47 | (188) a_select2(s_try7_init, n0) = init
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (38) with n2 yields:
% 53.83/18.47 | (189) ~ (leq(n2, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (38) with n1 yields:
% 53.83/18.47 | (190) ~ (leq(n1, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (189), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (191) ~ (leq(n2, all_0_11_11) = 0)
% 53.83/18.47 |
% 53.83/18.47 | From (169) and (191) follows:
% 53.83/18.47 | (192) ~ (leq(n2, n2) = 0)
% 53.83/18.47 |
% 53.83/18.47 | Using (165) and (192) yields:
% 53.83/18.47 | (172) $false
% 53.83/18.47 |
% 53.83/18.47 |-The branch is then unsatisfiable
% 53.83/18.47 |-Branch two:
% 53.83/18.47 | (194) leq(n2, all_0_11_11) = 0
% 53.83/18.47 | (195) ? [v0] : ? [v1] : (a_select2(s_try7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.47 |
% 53.83/18.47 | Instantiating (195) with all_75_0_29, all_75_1_30 yields:
% 53.83/18.47 | (196) a_select2(s_try7_init, n2) = all_75_0_29 & leq(n0, n2) = all_75_1_30 & ( ~ (all_75_1_30 = 0) | all_75_0_29 = init)
% 53.83/18.47 |
% 53.83/18.47 | Applying alpha-rule on (196) yields:
% 53.83/18.47 | (197) a_select2(s_try7_init, n2) = all_75_0_29
% 53.83/18.47 | (198) leq(n0, n2) = all_75_1_30
% 53.83/18.47 | (199) ~ (all_75_1_30 = 0) | all_75_0_29 = init
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (190), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (200) ~ (leq(n1, all_0_11_11) = 0)
% 53.83/18.47 |
% 53.83/18.47 | From (169) and (200) follows:
% 53.83/18.47 | (201) ~ (leq(n1, n2) = 0)
% 53.83/18.47 |
% 53.83/18.47 | Using (166) and (201) yields:
% 53.83/18.47 | (172) $false
% 53.83/18.47 |
% 53.83/18.47 |-The branch is then unsatisfiable
% 53.83/18.47 |-Branch two:
% 53.83/18.47 | (203) leq(n1, all_0_11_11) = 0
% 53.83/18.47 | (204) ? [v0] : ? [v1] : (a_select2(s_try7_init, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.83/18.47 |
% 53.83/18.47 | Instantiating (204) with all_86_0_33, all_86_1_34 yields:
% 53.83/18.47 | (205) a_select2(s_try7_init, n1) = all_86_0_33 & leq(n0, n1) = all_86_1_34 & ( ~ (all_86_1_34 = 0) | all_86_0_33 = init)
% 53.83/18.47 |
% 53.83/18.47 | Applying alpha-rule on (205) yields:
% 53.83/18.47 | (206) a_select2(s_try7_init, n1) = all_86_0_33
% 53.83/18.47 | (207) leq(n0, n1) = all_86_1_34
% 53.83/18.47 | (208) ~ (all_86_1_34 = 0) | all_86_0_33 = init
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (16) with s_try7_init, n2, all_75_0_29, all_0_7_7 and discharging atoms a_select2(s_try7_init, n2) = all_75_0_29, a_select2(s_try7_init, n2) = all_0_7_7, yields:
% 53.83/18.47 | (209) all_75_0_29 = all_0_7_7
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (16) with s_try7_init, n1, all_86_0_33, all_0_8_8 and discharging atoms a_select2(s_try7_init, n1) = all_86_0_33, a_select2(s_try7_init, n1) = all_0_8_8, yields:
% 53.83/18.47 | (210) all_86_0_33 = all_0_8_8
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (79) with n0, n2, all_75_1_30, 0 and discharging atoms leq(n0, n2) = all_75_1_30, leq(n0, n2) = 0, yields:
% 53.83/18.47 | (211) all_75_1_30 = 0
% 53.83/18.47 |
% 53.83/18.47 | Instantiating formula (79) with n0, n1, all_86_1_34, 0 and discharging atoms leq(n0, n1) = all_86_1_34, leq(n0, n1) = 0, yields:
% 53.83/18.47 | (212) all_86_1_34 = 0
% 53.83/18.47 |
% 53.83/18.47 | From (210) and (206) follows:
% 53.83/18.47 | (144) a_select2(s_try7_init, n1) = all_0_8_8
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (208), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (214) ~ (all_86_1_34 = 0)
% 53.83/18.47 |
% 53.83/18.47 | Equations (212) can reduce 214 to:
% 53.83/18.47 | (184) $false
% 53.83/18.47 |
% 53.83/18.47 |-The branch is then unsatisfiable
% 53.83/18.47 |-Branch two:
% 53.83/18.47 | (212) all_86_1_34 = 0
% 53.83/18.47 | (217) all_86_0_33 = init
% 53.83/18.47 |
% 53.83/18.47 | Combining equations (217,210) yields a new equation:
% 53.83/18.47 | (218) all_0_8_8 = init
% 53.83/18.47 |
% 53.83/18.47 | From (218) and (144) follows:
% 53.83/18.47 | (219) a_select2(s_try7_init, n1) = init
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (199), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (220) ~ (all_75_1_30 = 0)
% 53.83/18.47 |
% 53.83/18.47 | Equations (211) can reduce 220 to:
% 53.83/18.47 | (184) $false
% 53.83/18.47 |
% 53.83/18.47 |-The branch is then unsatisfiable
% 53.83/18.47 |-Branch two:
% 53.83/18.47 | (211) all_75_1_30 = 0
% 53.83/18.47 | (223) all_75_0_29 = init
% 53.83/18.47 |
% 53.83/18.47 | Combining equations (209,223) yields a new equation:
% 53.83/18.47 | (224) all_0_7_7 = init
% 53.83/18.47 |
% 53.83/18.47 | Simplifying 224 yields:
% 53.83/18.47 | (225) all_0_7_7 = init
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (108), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (226) ~ (all_0_10_10 = 0)
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (135), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (227) ~ (all_0_7_7 = init)
% 53.83/18.47 |
% 53.83/18.47 | Equations (225) can reduce 227 to:
% 53.83/18.47 | (184) $false
% 53.83/18.47 |
% 53.83/18.47 |-The branch is then unsatisfiable
% 53.83/18.47 |-Branch two:
% 53.83/18.47 | (225) all_0_7_7 = init
% 53.83/18.47 | (230) ~ (all_0_8_8 = init) | ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 53.83/18.47 |
% 53.83/18.47 +-Applying beta-rule and splitting (159), into two cases.
% 53.83/18.47 |-Branch one:
% 53.83/18.47 | (231) ~ (a_select2(s_try7_init, n0) = all_0_7_7)
% 53.83/18.47 |
% 53.83/18.47 | From (225) and (231) follows:
% 53.83/18.47 | (232) ~ (a_select2(s_try7_init, n0) = init)
% 53.83/18.48 |
% 53.83/18.48 | Using (188) and (232) yields:
% 53.83/18.48 | (172) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (234) a_select2(s_try7_init, n0) = all_0_7_7
% 53.83/18.48 | (235) all_0_7_7 = all_0_9_9
% 53.83/18.48 |
% 53.83/18.48 | Combining equations (225,235) yields a new equation:
% 53.83/18.48 | (187) all_0_9_9 = init
% 53.83/18.48 |
% 53.83/18.48 | Combining equations (187,235) yields a new equation:
% 53.83/18.48 | (225) all_0_7_7 = init
% 53.83/18.48 |
% 53.83/18.48 | From (225) and (234) follows:
% 53.83/18.48 | (188) a_select2(s_try7_init, n0) = init
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (160), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (239) ~ (a_select2(s_try7_init, n0) = all_0_8_8)
% 53.83/18.48 |
% 53.83/18.48 | From (218) and (239) follows:
% 53.83/18.48 | (232) ~ (a_select2(s_try7_init, n0) = init)
% 53.83/18.48 |
% 53.83/18.48 | Using (188) and (232) yields:
% 53.83/18.48 | (172) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (242) a_select2(s_try7_init, n0) = all_0_8_8
% 53.83/18.48 | (243) all_0_8_8 = all_0_9_9
% 53.83/18.48 |
% 53.83/18.48 | Combining equations (218,243) yields a new equation:
% 53.83/18.48 | (187) all_0_9_9 = init
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (158), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (245) ~ (a_select2(s_try7_init, n1) = all_0_7_7)
% 53.83/18.48 |
% 53.83/18.48 | From (225) and (245) follows:
% 53.83/18.48 | (246) ~ (a_select2(s_try7_init, n1) = init)
% 53.83/18.48 |
% 53.83/18.48 | Using (219) and (246) yields:
% 53.83/18.48 | (172) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (248) a_select2(s_try7_init, n1) = all_0_7_7
% 53.83/18.48 | (249) all_0_7_7 = all_0_8_8
% 53.83/18.48 |
% 53.83/18.48 | Combining equations (225,249) yields a new equation:
% 53.83/18.48 | (218) all_0_8_8 = init
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (164), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (251) all_0_10_10 = 0
% 53.83/18.48 |
% 53.83/18.48 | Equations (251) can reduce 226 to:
% 53.83/18.48 | (184) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (226) ~ (all_0_10_10 = 0)
% 53.83/18.48 | (254) loopcounter = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n1, loopcounter) = v0)
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (230), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (255) ~ (all_0_8_8 = init)
% 53.83/18.48 |
% 53.83/18.48 | Equations (218) can reduce 255 to:
% 53.83/18.48 | (184) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (218) all_0_8_8 = init
% 53.83/18.48 | (258) ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (258), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (259) ~ (all_0_9_9 = init)
% 53.83/18.48 |
% 53.83/18.48 | Equations (187) can reduce 259 to:
% 53.83/18.48 | (184) $false
% 53.83/18.48 |
% 53.83/18.48 |-The branch is then unsatisfiable
% 53.83/18.48 |-Branch two:
% 53.83/18.48 | (187) all_0_9_9 = init
% 53.83/18.48 | (262) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 53.83/18.48 |
% 53.83/18.48 +-Applying beta-rule and splitting (262), into two cases.
% 53.83/18.48 |-Branch one:
% 53.83/18.48 | (263) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.48 |
% 54.22/18.48 +-Applying beta-rule and splitting (263), into two cases.
% 54.22/18.48 |-Branch one:
% 54.22/18.48 | (264) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.48 |
% 54.22/18.48 +-Applying beta-rule and splitting (264), into two cases.
% 54.22/18.48 |-Branch one:
% 54.22/18.48 | (265) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.48 |
% 54.22/18.48 +-Applying beta-rule and splitting (265), into two cases.
% 54.22/18.48 |-Branch one:
% 54.22/18.48 | (266) 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
% 54.22/18.48 |
% 54.22/18.48 | Applying alpha-rule on (266) yields:
% 54.22/18.48 | (267) all_0_4_4 = 0
% 54.22/18.48 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.48 | (269) all_0_2_2 = 0
% 54.22/18.48 | (270) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 54.22/18.48 | (271) all_0_1_1 = 0
% 54.22/18.48 | (272) leq(n0, all_0_3_3) = 0
% 54.22/18.48 | (273) all_0_5_5 = 0
% 54.22/18.48 | (274) ~ (all_0_0_0 = init)
% 54.22/18.48 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.48 | (276) leq(all_0_3_3, n3) = 0
% 54.22/18.48 |
% 54.22/18.48 | Instantiating formula (130) 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:
% 54.22/18.48 | (277) 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))))
% 54.22/18.48 |
% 54.22/18.48 +-Applying beta-rule and splitting (277), into two cases.
% 54.22/18.48 |-Branch one:
% 54.22/18.48 | (278) all_0_0_0 = init
% 54.22/18.48 |
% 54.22/18.48 | Equations (278) can reduce 274 to:
% 54.22/18.48 | (184) $false
% 54.22/18.48 |
% 54.22/18.48 |-The branch is then unsatisfiable
% 54.22/18.48 |-Branch two:
% 54.22/18.48 | (274) ~ (all_0_0_0 = init)
% 54.22/18.48 | (281) ? [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))))
% 54.22/18.48 |
% 54.22/18.48 | Instantiating (281) with all_4198_0_195, all_4198_1_196 yields:
% 54.22/18.48 | (282) ( ~ (all_4198_1_196 = 0) & leq(n0, all_0_6_6) = all_4198_1_196) | (leq(all_0_3_3, n3) = all_4198_0_195 & leq(n0, all_0_3_3) = all_4198_1_196 & ( ~ (all_4198_0_195 = 0) | ~ (all_4198_1_196 = 0)))
% 54.22/18.48 |
% 54.22/18.48 +-Applying beta-rule and splitting (282), into two cases.
% 54.22/18.48 |-Branch one:
% 54.22/18.48 | (283) ~ (all_4198_1_196 = 0) & leq(n0, all_0_6_6) = all_4198_1_196
% 54.22/18.48 |
% 54.22/18.48 | Applying alpha-rule on (283) yields:
% 54.22/18.48 | (284) ~ (all_4198_1_196 = 0)
% 54.22/18.48 | (285) leq(n0, all_0_6_6) = all_4198_1_196
% 54.22/18.48 |
% 54.22/18.48 | Instantiating formula (79) with n0, all_0_6_6, all_4198_1_196, 0 and discharging atoms leq(n0, all_0_6_6) = all_4198_1_196, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.48 | (286) all_4198_1_196 = 0
% 54.22/18.48 |
% 54.22/18.48 | Equations (286) can reduce 284 to:
% 54.22/18.48 | (184) $false
% 54.22/18.48 |
% 54.22/18.48 |-The branch is then unsatisfiable
% 54.22/18.48 |-Branch two:
% 54.22/18.48 | (288) leq(all_0_3_3, n3) = all_4198_0_195 & leq(n0, all_0_3_3) = all_4198_1_196 & ( ~ (all_4198_0_195 = 0) | ~ (all_4198_1_196 = 0))
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (288) yields:
% 54.22/18.49 | (289) leq(all_0_3_3, n3) = all_4198_0_195
% 54.22/18.49 | (290) leq(n0, all_0_3_3) = all_4198_1_196
% 54.22/18.49 | (291) ~ (all_4198_0_195 = 0) | ~ (all_4198_1_196 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (79) with all_0_3_3, n3, all_4198_0_195, 0 and discharging atoms leq(all_0_3_3, n3) = all_4198_0_195, leq(all_0_3_3, n3) = 0, yields:
% 54.22/18.49 | (292) all_4198_0_195 = 0
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (79) with n0, all_0_3_3, all_4198_1_196, 0 and discharging atoms leq(n0, all_0_3_3) = all_4198_1_196, leq(n0, all_0_3_3) = 0, yields:
% 54.22/18.49 | (286) all_4198_1_196 = 0
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (291), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (294) ~ (all_4198_0_195 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Equations (292) can reduce 294 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (292) all_4198_0_195 = 0
% 54.22/18.49 | (284) ~ (all_4198_1_196 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Equations (286) can reduce 284 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (299) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (299) yields:
% 54.22/18.49 | (267) all_0_4_4 = 0
% 54.22/18.49 | (301) ~ (all_0_3_3 = init)
% 54.22/18.49 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.49 | (273) all_0_5_5 = 0
% 54.22/18.49 | (304) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 54.22/18.49 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.49 |
% 54.22/18.49 | From (169) and (302) follows:
% 54.22/18.49 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (38) with all_0_6_6 yields:
% 54.22/18.49 | (307) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (307), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (308) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 54.22/18.49 |
% 54.22/18.49 | From (169) and (308) follows:
% 54.22/18.49 | (309) ~ (leq(all_0_6_6, n2) = 0)
% 54.22/18.49 |
% 54.22/18.49 | Using (268) and (309) yields:
% 54.22/18.49 | (172) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.49 | (312) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.49 |
% 54.22/18.49 | Instantiating (312) with all_4166_0_213, all_4166_1_214 yields:
% 54.22/18.49 | (313) a_select2(s_try7_init, all_0_6_6) = all_4166_0_213 & leq(n0, all_0_6_6) = all_4166_1_214 & ( ~ (all_4166_1_214 = 0) | all_4166_0_213 = init)
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (313) yields:
% 54.22/18.49 | (314) a_select2(s_try7_init, all_0_6_6) = all_4166_0_213
% 54.22/18.49 | (315) leq(n0, all_0_6_6) = all_4166_1_214
% 54.22/18.49 | (316) ~ (all_4166_1_214 = 0) | all_4166_0_213 = init
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (16) with s_try7_init, all_0_6_6, all_4166_0_213, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_4166_0_213, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.49 | (317) all_4166_0_213 = all_0_3_3
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (79) with n0, all_0_6_6, all_4166_1_214, 0 and discharging atoms leq(n0, all_0_6_6) = all_4166_1_214, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.49 | (318) all_4166_1_214 = 0
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (316), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (319) ~ (all_4166_1_214 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Equations (318) can reduce 319 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (318) all_4166_1_214 = 0
% 54.22/18.49 | (322) all_4166_0_213 = init
% 54.22/18.49 |
% 54.22/18.49 | Combining equations (322,317) yields a new equation:
% 54.22/18.49 | (323) all_0_3_3 = init
% 54.22/18.49 |
% 54.22/18.49 | Equations (323) can reduce 301 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (325) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (325) yields:
% 54.22/18.49 | (267) all_0_4_4 = 0
% 54.22/18.49 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.49 | (301) ~ (all_0_3_3 = init)
% 54.22/18.49 | (329) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 54.22/18.49 | (273) all_0_5_5 = 0
% 54.22/18.49 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (126) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.49 | (332) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (38) with all_0_6_6 yields:
% 54.22/18.49 | (307) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (307), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (308) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 54.22/18.49 |
% 54.22/18.49 | From (169) and (308) follows:
% 54.22/18.49 | (309) ~ (leq(all_0_6_6, n2) = 0)
% 54.22/18.49 |
% 54.22/18.49 | Using (268) and (309) yields:
% 54.22/18.49 | (172) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.49 | (312) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.49 |
% 54.22/18.49 | From (169) and (302) follows:
% 54.22/18.49 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (332), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (323) all_0_3_3 = init
% 54.22/18.49 |
% 54.22/18.49 | Equations (323) can reduce 301 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (301) ~ (all_0_3_3 = init)
% 54.22/18.49 | (343) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.49 |
% 54.22/18.49 | Instantiating (343) with all_4168_0_229, all_4168_1_230 yields:
% 54.22/18.49 | (344) leq(all_0_6_6, n2) = all_4168_0_229 & leq(n0, all_0_6_6) = all_4168_1_230 & ( ~ (all_4168_0_229 = 0) | ~ (all_4168_1_230 = 0))
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (344) yields:
% 54.22/18.49 | (345) leq(all_0_6_6, n2) = all_4168_0_229
% 54.22/18.49 | (346) leq(n0, all_0_6_6) = all_4168_1_230
% 54.22/18.49 | (347) ~ (all_4168_0_229 = 0) | ~ (all_4168_1_230 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (79) with all_0_6_6, n2, all_4168_0_229, 0 and discharging atoms leq(all_0_6_6, n2) = all_4168_0_229, leq(all_0_6_6, n2) = 0, yields:
% 54.22/18.49 | (348) all_4168_0_229 = 0
% 54.22/18.49 |
% 54.22/18.49 | Instantiating formula (79) with n0, all_0_6_6, all_4168_1_230, 0 and discharging atoms leq(n0, all_0_6_6) = all_4168_1_230, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.49 | (349) all_4168_1_230 = 0
% 54.22/18.49 |
% 54.22/18.49 +-Applying beta-rule and splitting (347), into two cases.
% 54.22/18.49 |-Branch one:
% 54.22/18.49 | (350) ~ (all_4168_0_229 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Equations (348) can reduce 350 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (348) all_4168_0_229 = 0
% 54.22/18.49 | (353) ~ (all_4168_1_230 = 0)
% 54.22/18.49 |
% 54.22/18.49 | Equations (349) can reduce 353 to:
% 54.22/18.49 | (184) $false
% 54.22/18.49 |
% 54.22/18.49 |-The branch is then unsatisfiable
% 54.22/18.49 |-Branch two:
% 54.22/18.49 | (355) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.49 |
% 54.22/18.49 | Applying alpha-rule on (355) yields:
% 54.22/18.49 | (267) all_0_4_4 = 0
% 54.22/18.50 | (301) ~ (all_0_3_3 = init)
% 54.22/18.50 | (358) leq(all_0_6_6, n3) = 0
% 54.22/18.50 | (273) all_0_5_5 = 0
% 54.22/18.50 | (360) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 54.22/18.50 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.50 |
% 54.22/18.50 | Instantiating formula (82) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.50 | (362) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (362), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (323) all_0_3_3 = init
% 54.22/18.50 |
% 54.22/18.50 | Equations (323) can reduce 301 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (301) ~ (all_0_3_3 = init)
% 54.22/18.50 | (366) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.50 |
% 54.22/18.50 | Instantiating (366) with all_4170_0_243, all_4170_1_244 yields:
% 54.22/18.50 | (367) leq(all_0_6_6, n3) = all_4170_0_243 & leq(n0, all_0_6_6) = all_4170_1_244 & ( ~ (all_4170_0_243 = 0) | ~ (all_4170_1_244 = 0))
% 54.22/18.50 |
% 54.22/18.50 | Applying alpha-rule on (367) yields:
% 54.22/18.50 | (368) leq(all_0_6_6, n3) = all_4170_0_243
% 54.22/18.50 | (369) leq(n0, all_0_6_6) = all_4170_1_244
% 54.22/18.50 | (370) ~ (all_4170_0_243 = 0) | ~ (all_4170_1_244 = 0)
% 54.22/18.50 |
% 54.22/18.50 | Instantiating formula (79) with all_0_6_6, n3, all_4170_0_243, 0 and discharging atoms leq(all_0_6_6, n3) = all_4170_0_243, leq(all_0_6_6, n3) = 0, yields:
% 54.22/18.50 | (371) all_4170_0_243 = 0
% 54.22/18.50 |
% 54.22/18.50 | Instantiating formula (79) with n0, all_0_6_6, all_4170_1_244, 0 and discharging atoms leq(n0, all_0_6_6) = all_4170_1_244, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.50 | (372) all_4170_1_244 = 0
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (370), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (373) ~ (all_4170_0_243 = 0)
% 54.22/18.50 |
% 54.22/18.50 | Equations (371) can reduce 373 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (371) all_4170_0_243 = 0
% 54.22/18.50 | (376) ~ (all_4170_1_244 = 0)
% 54.22/18.50 |
% 54.22/18.50 | Equations (372) can reduce 376 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (378) all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 54.22/18.50 |
% 54.22/18.50 | Applying alpha-rule on (378) yields:
% 54.22/18.50 | (251) all_0_10_10 = 0
% 54.22/18.50 | (380) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 54.22/18.50 |
% 54.22/18.50 | Equations (251) can reduce 226 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (251) all_0_10_10 = 0
% 54.22/18.50 | (383) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 54.22/18.50 |
% 54.22/18.50 | Applying alpha-rule on (383) yields:
% 54.22/18.50 | (384) pvar1402_init = init
% 54.22/18.50 | (385) pvar1401_init = init
% 54.22/18.50 | (386) pvar1400_init = init
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (135), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (227) ~ (all_0_7_7 = init)
% 54.22/18.50 |
% 54.22/18.50 | Equations (225) can reduce 227 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (225) all_0_7_7 = init
% 54.22/18.50 | (230) ~ (all_0_8_8 = init) | ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (160), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (239) ~ (a_select2(s_try7_init, n0) = all_0_8_8)
% 54.22/18.50 |
% 54.22/18.50 | From (218) and (239) follows:
% 54.22/18.50 | (232) ~ (a_select2(s_try7_init, n0) = init)
% 54.22/18.50 |
% 54.22/18.50 | Using (188) and (232) yields:
% 54.22/18.50 | (172) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (242) a_select2(s_try7_init, n0) = all_0_8_8
% 54.22/18.50 | (243) all_0_8_8 = all_0_9_9
% 54.22/18.50 |
% 54.22/18.50 | Combining equations (218,243) yields a new equation:
% 54.22/18.50 | (187) all_0_9_9 = init
% 54.22/18.50 |
% 54.22/18.50 | Combining equations (187,243) yields a new equation:
% 54.22/18.50 | (218) all_0_8_8 = init
% 54.22/18.50 |
% 54.22/18.50 | From (218) and (242) follows:
% 54.22/18.50 | (188) a_select2(s_try7_init, n0) = init
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (159), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (231) ~ (a_select2(s_try7_init, n0) = all_0_7_7)
% 54.22/18.50 |
% 54.22/18.50 | From (225) and (231) follows:
% 54.22/18.50 | (232) ~ (a_select2(s_try7_init, n0) = init)
% 54.22/18.50 |
% 54.22/18.50 | Using (188) and (232) yields:
% 54.22/18.50 | (172) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (234) a_select2(s_try7_init, n0) = all_0_7_7
% 54.22/18.50 | (235) all_0_7_7 = all_0_9_9
% 54.22/18.50 |
% 54.22/18.50 | Combining equations (235,225) yields a new equation:
% 54.22/18.50 | (404) all_0_9_9 = init
% 54.22/18.50 |
% 54.22/18.50 | Simplifying 404 yields:
% 54.22/18.50 | (187) all_0_9_9 = init
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (158), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (245) ~ (a_select2(s_try7_init, n1) = all_0_7_7)
% 54.22/18.50 |
% 54.22/18.50 | From (225) and (245) follows:
% 54.22/18.50 | (246) ~ (a_select2(s_try7_init, n1) = init)
% 54.22/18.50 |
% 54.22/18.50 | Using (219) and (246) yields:
% 54.22/18.50 | (172) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (248) a_select2(s_try7_init, n1) = all_0_7_7
% 54.22/18.50 | (249) all_0_7_7 = all_0_8_8
% 54.22/18.50 |
% 54.22/18.50 | Combining equations (249,225) yields a new equation:
% 54.22/18.50 | (411) all_0_8_8 = init
% 54.22/18.50 |
% 54.22/18.50 | Simplifying 411 yields:
% 54.22/18.50 | (218) all_0_8_8 = init
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (230), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (255) ~ (all_0_8_8 = init)
% 54.22/18.50 |
% 54.22/18.50 | Equations (218) can reduce 255 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (218) all_0_8_8 = init
% 54.22/18.50 | (258) ~ (all_0_9_9 = init) | (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (258), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (259) ~ (all_0_9_9 = init)
% 54.22/18.50 |
% 54.22/18.50 | Equations (187) can reduce 259 to:
% 54.22/18.50 | (184) $false
% 54.22/18.50 |
% 54.22/18.50 |-The branch is then unsatisfiable
% 54.22/18.50 |-Branch two:
% 54.22/18.50 | (187) all_0_9_9 = init
% 54.22/18.50 | (262) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 54.22/18.50 |
% 54.22/18.50 +-Applying beta-rule and splitting (262), into two cases.
% 54.22/18.50 |-Branch one:
% 54.22/18.50 | (263) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (263), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (264) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (264), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (265) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0)
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (265), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (266) 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
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (266) yields:
% 54.22/18.51 | (267) all_0_4_4 = 0
% 54.22/18.51 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.51 | (269) all_0_2_2 = 0
% 54.22/18.51 | (270) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 54.22/18.51 | (271) all_0_1_1 = 0
% 54.22/18.51 | (272) leq(n0, all_0_3_3) = 0
% 54.22/18.51 | (273) all_0_5_5 = 0
% 54.22/18.51 | (274) ~ (all_0_0_0 = init)
% 54.22/18.51 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.51 | (276) leq(all_0_3_3, n3) = 0
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (130) 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:
% 54.22/18.51 | (277) 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))))
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (277), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (278) all_0_0_0 = init
% 54.22/18.51 |
% 54.22/18.51 | Equations (278) can reduce 274 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (274) ~ (all_0_0_0 = init)
% 54.22/18.51 | (281) ? [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))))
% 54.22/18.51 |
% 54.22/18.51 | Instantiating (281) with all_4304_0_356, all_4304_1_357 yields:
% 54.22/18.51 | (440) ( ~ (all_4304_1_357 = 0) & leq(n0, all_0_6_6) = all_4304_1_357) | (leq(all_0_3_3, n3) = all_4304_0_356 & leq(n0, all_0_3_3) = all_4304_1_357 & ( ~ (all_4304_0_356 = 0) | ~ (all_4304_1_357 = 0)))
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (440), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (441) ~ (all_4304_1_357 = 0) & leq(n0, all_0_6_6) = all_4304_1_357
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (441) yields:
% 54.22/18.51 | (442) ~ (all_4304_1_357 = 0)
% 54.22/18.51 | (443) leq(n0, all_0_6_6) = all_4304_1_357
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (79) with n0, all_0_6_6, all_4304_1_357, 0 and discharging atoms leq(n0, all_0_6_6) = all_4304_1_357, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.51 | (444) all_4304_1_357 = 0
% 54.22/18.51 |
% 54.22/18.51 | Equations (444) can reduce 442 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (446) leq(all_0_3_3, n3) = all_4304_0_356 & leq(n0, all_0_3_3) = all_4304_1_357 & ( ~ (all_4304_0_356 = 0) | ~ (all_4304_1_357 = 0))
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (446) yields:
% 54.22/18.51 | (447) leq(all_0_3_3, n3) = all_4304_0_356
% 54.22/18.51 | (448) leq(n0, all_0_3_3) = all_4304_1_357
% 54.22/18.51 | (449) ~ (all_4304_0_356 = 0) | ~ (all_4304_1_357 = 0)
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (79) with all_0_3_3, n3, all_4304_0_356, 0 and discharging atoms leq(all_0_3_3, n3) = all_4304_0_356, leq(all_0_3_3, n3) = 0, yields:
% 54.22/18.51 | (450) all_4304_0_356 = 0
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (79) with n0, all_0_3_3, all_4304_1_357, 0 and discharging atoms leq(n0, all_0_3_3) = all_4304_1_357, leq(n0, all_0_3_3) = 0, yields:
% 54.22/18.51 | (444) all_4304_1_357 = 0
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (449), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (452) ~ (all_4304_0_356 = 0)
% 54.22/18.51 |
% 54.22/18.51 | Equations (450) can reduce 452 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (450) all_4304_0_356 = 0
% 54.22/18.51 | (442) ~ (all_4304_1_357 = 0)
% 54.22/18.51 |
% 54.22/18.51 | Equations (444) can reduce 442 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (299) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (299) yields:
% 54.22/18.51 | (267) all_0_4_4 = 0
% 54.22/18.51 | (301) ~ (all_0_3_3 = init)
% 54.22/18.51 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.51 | (273) all_0_5_5 = 0
% 54.22/18.51 | (304) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 54.22/18.51 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.51 |
% 54.22/18.51 | From (169) and (302) follows:
% 54.22/18.51 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (38) with all_0_6_6 yields:
% 54.22/18.51 | (307) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (307), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (308) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 54.22/18.51 |
% 54.22/18.51 | From (169) and (308) follows:
% 54.22/18.51 | (309) ~ (leq(all_0_6_6, n2) = 0)
% 54.22/18.51 |
% 54.22/18.51 | Using (268) and (309) yields:
% 54.22/18.51 | (172) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.51 | (312) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.51 |
% 54.22/18.51 | Instantiating (312) with all_4235_0_369, all_4235_1_370 yields:
% 54.22/18.51 | (471) a_select2(s_try7_init, all_0_6_6) = all_4235_0_369 & leq(n0, all_0_6_6) = all_4235_1_370 & ( ~ (all_4235_1_370 = 0) | all_4235_0_369 = init)
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (471) yields:
% 54.22/18.51 | (472) a_select2(s_try7_init, all_0_6_6) = all_4235_0_369
% 54.22/18.51 | (473) leq(n0, all_0_6_6) = all_4235_1_370
% 54.22/18.51 | (474) ~ (all_4235_1_370 = 0) | all_4235_0_369 = init
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (16) with s_try7_init, all_0_6_6, all_4235_0_369, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_4235_0_369, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.51 | (475) all_4235_0_369 = all_0_3_3
% 54.22/18.51 |
% 54.22/18.51 | Instantiating formula (79) with n0, all_0_6_6, all_4235_1_370, 0 and discharging atoms leq(n0, all_0_6_6) = all_4235_1_370, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.51 | (476) all_4235_1_370 = 0
% 54.22/18.51 |
% 54.22/18.51 +-Applying beta-rule and splitting (474), into two cases.
% 54.22/18.51 |-Branch one:
% 54.22/18.51 | (477) ~ (all_4235_1_370 = 0)
% 54.22/18.51 |
% 54.22/18.51 | Equations (476) can reduce 477 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (476) all_4235_1_370 = 0
% 54.22/18.51 | (480) all_4235_0_369 = init
% 54.22/18.51 |
% 54.22/18.51 | Combining equations (480,475) yields a new equation:
% 54.22/18.51 | (323) all_0_3_3 = init
% 54.22/18.51 |
% 54.22/18.51 | Equations (323) can reduce 301 to:
% 54.22/18.51 | (184) $false
% 54.22/18.51 |
% 54.22/18.51 |-The branch is then unsatisfiable
% 54.22/18.51 |-Branch two:
% 54.22/18.51 | (325) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.51 |
% 54.22/18.51 | Applying alpha-rule on (325) yields:
% 54.22/18.51 | (267) all_0_4_4 = 0
% 54.22/18.51 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.51 | (301) ~ (all_0_3_3 = init)
% 54.22/18.52 | (329) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 54.22/18.52 | (273) all_0_5_5 = 0
% 54.22/18.52 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (126) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.52 | (332) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (38) with all_0_6_6 yields:
% 54.22/18.52 | (307) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (332), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (323) all_0_3_3 = init
% 54.22/18.52 |
% 54.22/18.52 | Equations (323) can reduce 301 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (301) ~ (all_0_3_3 = init)
% 54.22/18.52 | (343) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.52 |
% 54.22/18.52 | Instantiating (343) with all_4235_0_383, all_4235_1_384 yields:
% 54.22/18.52 | (496) leq(all_0_6_6, n2) = all_4235_0_383 & leq(n0, all_0_6_6) = all_4235_1_384 & ( ~ (all_4235_0_383 = 0) | ~ (all_4235_1_384 = 0))
% 54.22/18.52 |
% 54.22/18.52 | Applying alpha-rule on (496) yields:
% 54.22/18.52 | (497) leq(all_0_6_6, n2) = all_4235_0_383
% 54.22/18.52 | (498) leq(n0, all_0_6_6) = all_4235_1_384
% 54.22/18.52 | (499) ~ (all_4235_0_383 = 0) | ~ (all_4235_1_384 = 0)
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (307), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (308) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 54.22/18.52 |
% 54.22/18.52 | From (169) and (308) follows:
% 54.22/18.52 | (309) ~ (leq(all_0_6_6, n2) = 0)
% 54.22/18.52 |
% 54.22/18.52 | Using (268) and (309) yields:
% 54.22/18.52 | (172) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (302) leq(all_0_6_6, all_0_11_11) = 0
% 54.22/18.52 | (312) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 54.22/18.52 |
% 54.22/18.52 | Instantiating (312) with all_4268_0_389, all_4268_1_390 yields:
% 54.22/18.52 | (505) a_select2(s_try7_init, all_0_6_6) = all_4268_0_389 & leq(n0, all_0_6_6) = all_4268_1_390 & ( ~ (all_4268_1_390 = 0) | all_4268_0_389 = init)
% 54.22/18.52 |
% 54.22/18.52 | Applying alpha-rule on (505) yields:
% 54.22/18.52 | (506) a_select2(s_try7_init, all_0_6_6) = all_4268_0_389
% 54.22/18.52 | (507) leq(n0, all_0_6_6) = all_4268_1_390
% 54.22/18.52 | (508) ~ (all_4268_1_390 = 0) | all_4268_0_389 = init
% 54.22/18.52 |
% 54.22/18.52 | From (169) and (302) follows:
% 54.22/18.52 | (268) leq(all_0_6_6, n2) = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (79) with all_0_6_6, n2, all_4235_0_383, 0 and discharging atoms leq(all_0_6_6, n2) = all_4235_0_383, leq(all_0_6_6, n2) = 0, yields:
% 54.22/18.52 | (510) all_4235_0_383 = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (79) with n0, all_0_6_6, all_4268_1_390, 0 and discharging atoms leq(n0, all_0_6_6) = all_4268_1_390, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.52 | (511) all_4268_1_390 = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (79) with n0, all_0_6_6, all_4235_1_384, all_4268_1_390 and discharging atoms leq(n0, all_0_6_6) = all_4268_1_390, leq(n0, all_0_6_6) = all_4235_1_384, yields:
% 54.22/18.52 | (512) all_4268_1_390 = all_4235_1_384
% 54.22/18.52 |
% 54.22/18.52 | Combining equations (511,512) yields a new equation:
% 54.22/18.52 | (513) all_4235_1_384 = 0
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (499), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (514) ~ (all_4235_0_383 = 0)
% 54.22/18.52 |
% 54.22/18.52 | Equations (510) can reduce 514 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (510) all_4235_0_383 = 0
% 54.22/18.52 | (517) ~ (all_4235_1_384 = 0)
% 54.22/18.52 |
% 54.22/18.52 | Equations (513) can reduce 517 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (355) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0
% 54.22/18.52 |
% 54.22/18.52 | Applying alpha-rule on (355) yields:
% 54.22/18.52 | (267) all_0_4_4 = 0
% 54.22/18.52 | (301) ~ (all_0_3_3 = init)
% 54.22/18.52 | (358) leq(all_0_6_6, n3) = 0
% 54.22/18.52 | (273) all_0_5_5 = 0
% 54.22/18.52 | (360) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 54.22/18.52 | (275) leq(n0, all_0_6_6) = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (82) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 54.22/18.52 | (362) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (362), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (323) all_0_3_3 = init
% 54.22/18.52 |
% 54.22/18.52 | Equations (323) can reduce 301 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (301) ~ (all_0_3_3 = init)
% 54.22/18.52 | (366) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 54.22/18.52 |
% 54.22/18.52 | Instantiating (366) with all_4243_0_399, all_4243_1_400 yields:
% 54.22/18.52 | (531) leq(all_0_6_6, n3) = all_4243_0_399 & leq(n0, all_0_6_6) = all_4243_1_400 & ( ~ (all_4243_0_399 = 0) | ~ (all_4243_1_400 = 0))
% 54.22/18.52 |
% 54.22/18.52 | Applying alpha-rule on (531) yields:
% 54.22/18.52 | (532) leq(all_0_6_6, n3) = all_4243_0_399
% 54.22/18.52 | (533) leq(n0, all_0_6_6) = all_4243_1_400
% 54.22/18.52 | (534) ~ (all_4243_0_399 = 0) | ~ (all_4243_1_400 = 0)
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (79) with all_0_6_6, n3, all_4243_0_399, 0 and discharging atoms leq(all_0_6_6, n3) = all_4243_0_399, leq(all_0_6_6, n3) = 0, yields:
% 54.22/18.52 | (535) all_4243_0_399 = 0
% 54.22/18.52 |
% 54.22/18.52 | Instantiating formula (79) with n0, all_0_6_6, all_4243_1_400, 0 and discharging atoms leq(n0, all_0_6_6) = all_4243_1_400, leq(n0, all_0_6_6) = 0, yields:
% 54.22/18.52 | (536) all_4243_1_400 = 0
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (534), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (537) ~ (all_4243_0_399 = 0)
% 54.22/18.52 |
% 54.22/18.52 | Equations (535) can reduce 537 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (535) all_4243_0_399 = 0
% 54.22/18.52 | (540) ~ (all_4243_1_400 = 0)
% 54.22/18.52 |
% 54.22/18.52 | Equations (536) can reduce 540 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (378) all_0_10_10 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 54.22/18.52 |
% 54.22/18.52 | Applying alpha-rule on (378) yields:
% 54.22/18.52 | (251) all_0_10_10 = 0
% 54.22/18.52 | (380) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (380), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (545) ~ (pvar1402_init = init)
% 54.22/18.52 |
% 54.22/18.52 | Equations (384) can reduce 545 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (384) pvar1402_init = init
% 54.22/18.52 | (548) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 54.22/18.52 |
% 54.22/18.52 +-Applying beta-rule and splitting (548), into two cases.
% 54.22/18.52 |-Branch one:
% 54.22/18.52 | (549) ~ (pvar1401_init = init)
% 54.22/18.52 |
% 54.22/18.52 | Equations (385) can reduce 549 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.52 |-Branch two:
% 54.22/18.52 | (385) pvar1401_init = init
% 54.22/18.52 | (552) ~ (pvar1400_init = init)
% 54.22/18.52 |
% 54.22/18.52 | Equations (386) can reduce 552 to:
% 54.22/18.52 | (184) $false
% 54.22/18.52 |
% 54.22/18.52 |-The branch is then unsatisfiable
% 54.22/18.53 % SZS output end Proof for theBenchmark
% 54.22/18.53
% 54.22/18.53 17907ms
%------------------------------------------------------------------------------