TSTP Solution File: SWV038+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV038+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.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 17:49:48 EDT 2022
% Result : Theorem 23.43s 6.76s
% Output : Proof 37.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV038+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 20:47:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.57 ____ _
% 0.51/0.57 ___ / __ \_____(_)___ ________ __________
% 0.51/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.58
% 0.51/0.58 A Theorem Prover for First-Order Logic
% 0.51/0.58 (ePrincess v.1.0)
% 0.51/0.58
% 0.51/0.58 (c) Philipp Rümmer, 2009-2015
% 0.51/0.58 (c) Peter Backeman, 2014-2015
% 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.58 Bug reports to peter@backeman.se
% 0.51/0.58
% 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.58
% 0.51/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.51/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.16/1.05 Prover 0: Preprocessing ...
% 4.02/1.56 Prover 0: Warning: ignoring some quantifiers
% 4.17/1.59 Prover 0: Constructing countermodel ...
% 19.65/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.01/6.04 Prover 1: Preprocessing ...
% 21.19/6.24 Prover 1: Warning: ignoring some quantifiers
% 21.19/6.24 Prover 1: Constructing countermodel ...
% 23.43/6.76 Prover 1: proved (840ms)
% 23.43/6.76 Prover 0: stopped
% 23.43/6.76
% 23.43/6.76 No countermodel exists, formula is valid
% 23.43/6.76 % SZS status Theorem for theBenchmark
% 23.43/6.76
% 23.43/6.76 Generating proof ... Warning: ignoring some quantifiers
% 36.30/9.80 found it (size 182)
% 36.30/9.80
% 36.30/9.80 % SZS output start Proof for theBenchmark
% 36.30/9.80 Assumed formulas after preprocessing and simplification:
% 36.30/9.80 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (pv1413 = n0) & ~ (def = use) & minus(n3, n1) = v0 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v1 & 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 & ? [v9] : ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (tptp_mmul(v23, v24) = v25) | ~ (tptp_mmul(v16, v20) = v21) | ~ (tptp_mmul(v15, v21) = v22) | ~ (tptp_mmul(v14, v17) = v18) | ~ (tptp_mmul(v13, v18) = v19) | ~ (tptp_mmul(v12, v25) = v26) | ~ (tptp_madd(v19, v22) = v23) | ~ (tptp_madd(v11, v26) = v27) | ~ (trans(v15) = v20) | ~ (trans(v13) = v17) | ~ (trans(v12) = v24) | ~ (a_select3(v27, v28, v29) = v30) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ((v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v16, v32, v31) = v38 & a_select3(v16, v31, v32) = v37 & leq(v32, v9) = 0 & leq(v31, v9) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v14, v32, v31) = v38 & a_select3(v14, v31, v32) = v37 & leq(v32, v10) = 0 & leq(v31, v10) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v11, v32, v31) = v38 & a_select3(v11, v31, v32) = v37 & leq(v32, v9) = 0 & leq(v31, v9) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (a_select3(v27, v29, v28) = v35 & leq(v29, v9) = v34 & leq(v28, v9) = v32 & leq(n0, v29) = v33 & leq(n0, v28) = v31 & ( ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | ~ (v31 = 0) | v35 = v30)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v15 | ~ (tptp_const_array2(v16, v17, v15) = v18) | ~ (a_select3(v18, v9, v12) = v19) | ~ (dim(v13, v14) = v17) | ~ (dim(v10, v11) = v16) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (leq(v13, v12) = v22 & leq(v12, v14) = v23 & leq(v10, v9) = v20 & leq(v9, v11) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0)))) & ? [v9] : ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v9) = v22 & leq(v16, v9) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_mmul(v11, v12) = v13) | ~ (tptp_mmul(v10, v13) = v14) | ~ (trans(v10) = v12) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v9) = 0 & leq(v18, v9) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v9) = v21 & leq(v15, v9) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update3(v13, v11, v12, v14) = v15) | ~ (a_select3(v15, v9, v10) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v23 = v14) & a_select3(v13, v17, v18) = v23 & leq(v18, v12) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (leq(v10, v12) = v20 & leq(v9, v11) = v18 & leq(n0, v10) = v19 & leq(n0, v9) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0))))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v9 | v12 = v10 | ~ (tptp_update3(v13, v10, v11, v14) = v15) | ~ (a_select3(v15, v12, v11) = v16) | ? [v17] : ( ~ (v17 = v9) & a_select3(v13, v12, v11) = v17)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_update3(v10, v13, v13, v14) = v15) | ~ (a_select3(v15, v11, v12) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v10, v18, v17) = v24 & a_select3(v10, v17, v18) = v23 & leq(v18, v9) = 0 & leq(v17, v9) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v15, v12, v11) = v23 & leq(v13, v9) = v22 & leq(v12, v9) = v20 & leq(v11, v9) = v18 & leq(n0, v13) = v21 & leq(n0, v12) = v19 & leq(n0, v11) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v23 = v16)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (dim(v10, v11) = v13) | ~ (tptp_const_array1(v13, v12) = v14) | ~ (a_select2(v14, v9) = v15) | ? [v16] : ? [v17] : (leq(v10, v9) = v16 & leq(v9, v11) = v17 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v9 | v11 = v10 | ~ (tptp_update2(v12, v10, v13) = v14) | ~ (a_select2(v14, v11) = v15) | ? [v16] : ( ~ (v16 = v9) & a_select2(v12, v11) = v16)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_msub(v10, v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v10, v17, v16) = v23 & a_select3(v10, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v9) = v19 & leq(v13, v9) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_madd(v10, v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v10, v17, v16) = v23 & a_select3(v10, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v9) = v19 & leq(v13, v9) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v11, v10, v12) = v13) | ~ (a_select2(v13, v9) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v17 = 0 & v16 = 0 & ~ (v18 = v12) & a_select2(v11, v15) = v18 & leq(v15, v10) = 0 & leq(n0, v15) = 0) | (leq(v9, v10) = v16 & leq(n0, v9) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update3(v9, v10, v11, v12) = v13) | ~ (a_select3(v13, v10, v11) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v10 = v9 | ~ (tptp_update3(v14, v13, v12, v11) = v10) | ~ (tptp_update3(v14, v13, v12, v11) = v9)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inv(v10) = v11) | ~ (a_select3(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & ~ (v22 = v21) & a_select3(v10, v16, v15) = v22 & a_select3(v10, v15, v16) = v21 & leq(v16, v9) = 0 & leq(v15, v9) = 0 & leq(n0, v16) = 0 & leq(n0, v15) = 0) | (a_select3(v11, v13, v12) = v19 & leq(v13, v9) = v18 & leq(v12, v9) = v16 & leq(n0, v13) = v17 & leq(n0, v12) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v19 = v14)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (trans(v10) = v11) | ~ (a_select3(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & ~ (v22 = v21) & a_select3(v10, v16, v15) = v22 & a_select3(v10, v15, v16) = v21 & leq(v16, v9) = 0 & leq(v15, v9) = 0 & leq(n0, v16) = 0 & leq(n0, v15) = 0) | (a_select3(v11, v13, v12) = v19 & leq(v13, v9) = v18 & leq(v12, v9) = v16 & leq(n0, v13) = v17 & leq(n0, v12) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v19 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (tptp_update2(v9, v10, v11) = v12) | ~ (a_select2(v12, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v10) = v12) | ~ (succ(v9) = v11) | ~ (leq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (tptp_update2(v13, v12, v11) = v10) | ~ (tptp_update2(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (sum(v13, v12, v11) = v10) | ~ (sum(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (tptp_const_array2(v13, v12, v11) = v10) | ~ (tptp_const_array2(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (a_select3(v13, v12, v11) = v10) | ~ (a_select3(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (uniform_int_rnd(v10, v9) = v11) | ~ (leq(v11, v9) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(n0, v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (leq(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v9) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (pred(v10) = v11) | ~ (leq(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v10, v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (gt(v9, v11) = v12) | ~ (gt(v9, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & gt(v10, v11) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (minus(v12, v11) = v10) | ~ (minus(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (plus(v12, v11) = v10) | ~ (plus(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_mmul(v12, v11) = v10) | ~ (tptp_mmul(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_msub(v12, v11) = v10) | ~ (tptp_msub(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_madd(v12, v11) = v10) | ~ (tptp_madd(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (dim(v12, v11) = v10) | ~ (dim(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_const_array1(v12, v11) = v10) | ~ (tptp_const_array1(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (a_select2(v12, v11) = v10) | ~ (a_select2(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (uniform_int_rnd(v12, v11) = v10) | ~ (uniform_int_rnd(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (geq(v12, v11) = v10) | ~ (geq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (lt(v12, v11) = v10) | ~ (lt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (leq(v12, v11) = v10) | ~ (leq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (gt(v12, v11) = v10) | ~ (gt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (succ(v9) = v11) | ~ (leq(v11, v12) = 0) | leq(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = init | ~ (a_select3(simplex7_init, v10, v9) = v11) | ~ (leq(v9, n2) = 0) | ? [v12] : ? [v13] : (( ~ (v12 = 0) & leq(n0, v9) = v12) | (leq(v10, n3) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (gt(v10, v9) = v11) | ? [v12] : ( ~ (v12 = 0) & leq(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (gt(v9, v10) = v11) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (succ(v9) = v10) | ~ (gt(v10, v9) = v11)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (geq(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & leq(v10, v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (lt(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & gt(v10, v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (inv(v11) = v10) | ~ (inv(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (trans(v11) = v10) | ~ (trans(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (succ(v11) = v10) | ~ (succ(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (pred(v11) = v10) | ~ (pred(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (minus(v9, v10) = v11) | ~ (leq(v11, v9) = 0) | leq(n0, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (uniform_int_rnd(v10, v9) = v11) | ? [v12] : ? [v13] : (leq(n0, v11) = v13 & leq(n0, v9) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | ~ (gt(v11, v9) = 0) | leq(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (succ(v9) = v11) | ~ (leq(v11, v10) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | ~ (leq(v9, v11) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : (v10 = init | ~ (a_select2(s_center7_init, v9) = v10) | ? [v11] : ? [v12] : (leq(v9, n2) = v12 & leq(n0, v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = init | ~ (a_select2(s_values7_init, v9) = v10) | ? [v11] : ? [v12] : (leq(v9, n3) = v12 & leq(n0, v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v9) = v10)) & ! [v9] : ! [v10] : (v10 = n0 | ~ (sum(n0, tptp_minus_1, v9) = v10)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (leq(v9, v9) = v10)) & ! [v9] : ! [v10] : ( ~ (minus(v9, n1) = v10) | pred(v9) = v10) & ! [v9] : ! [v10] : ( ~ (plus(v9, n5) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v10 & succ(v13) = v14 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n4) = v10) | ? [v11] : ? [v12] : ? [v13] : (succ(v13) = v10 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n3) = v10) | ? [v11] : ? [v12] : (succ(v12) = v10 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n2) = v10) | ? [v11] : (succ(v11) = v10 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n1) = v10) | succ(v9) = v10) & ! [v9] : ! [v10] : ( ~ (plus(n5, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v10 & succ(v13) = v14 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n4, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (succ(v13) = v10 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n3, v9) = v10) | ? [v11] : ? [v12] : (succ(v12) = v10 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n2, v9) = v10) | ? [v11] : (succ(v11) = v10 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n1, v9) = v10) | succ(v9) = v10) & ! [v9] : ! [v10] : ( ~ (succ(v9) = v10) | pred(v10) = v9) & ! [v9] : ! [v10] : ( ~ (pred(v9) = v10) | succ(v10) = v9) & ! [v9] : ! [v10] : ( ~ (geq(v9, v10) = 0) | leq(v10, v9) = 0) & ! [v9] : ! [v10] : ( ~ (lt(v9, v10) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ( ~ (gt(v10, v9) = 0) | leq(v9, v10) = 0) & ! [v9] : (v9 = n5 | v9 = n4 | v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n5) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n4 | v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n4) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n3) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n2) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n1 | v9 = n0 | ~ (leq(v9, n1) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n0 | ~ (leq(n0, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(v9, n0) = v10)) & ! [v9] : ( ~ (leq(v9, v0) = 0) | ? [v10] : ? [v11] : (a_select2(s_try7_init, v9) = v11 & leq(n0, v9) = v10 & ( ~ (v10 = 0) | v11 = init))) & ! [v9] : ~ (gt(v9, v9) = 0) & ( ~ (v1 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v7 = 0 & v6 = 0 & v4 = 0 & v3 = 0 & ~ (v8 = init) & a_select3(simplex7_init, v5, v2) = v8 & leq(v5, n3) = 0 & leq(v2, n2) = 0 & leq(n0, v5) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_try7_init, v2) = v5 & leq(v2, v0) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_center7_init, v2) = v5 & leq(v2, n2) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_values7_init, v2) = v5 & leq(v2, n3) = 0 & leq(n0, v2) = 0) | (v1 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))))
% 36.83/9.88 | 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 yields:
% 36.83/9.88 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (pv1413 = n0) & ~ (def = use) & minus(n3, n1) = all_0_8_8 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_7_7 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))))
% 36.83/9.91 |
% 36.83/9.91 | Applying alpha-rule on (1) yields:
% 36.83/9.91 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 36.83/9.91 | (3) s_best7_init = init
% 36.83/9.91 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 36.83/9.91 | (5) minus(n3, n1) = all_0_8_8
% 36.83/9.91 | (6) ! [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))))
% 36.83/9.91 | (7) succ(n0) = n1
% 36.83/9.91 | (8) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 36.83/9.91 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 36.83/9.91 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 36.83/9.91 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 36.83/9.91 | (12) s_worst7_init = init
% 36.83/9.91 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 36.83/9.91 | (14) ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 36.83/9.92 | (15) gt(n1, n0) = 0
% 36.83/9.92 | (16) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7))))
% 36.83/9.92 | (17) gt(n2, tptp_minus_1) = 0
% 36.83/9.92 | (18) gt(n4, n0) = 0
% 36.83/9.92 | (19) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6))))
% 36.83/9.92 | (20) succ(n3) = n4
% 36.83/9.92 | (21) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 36.83/9.92 | (22) succ(n4) = n5
% 36.83/9.92 | (23) ~ (pv1413 = n0)
% 36.83/9.92 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 36.83/9.92 | (25) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 36.83/9.92 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 36.83/9.92 | (27) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 36.83/9.92 | (28) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 36.83/9.92 | (29) gt(n3, n0) = 0
% 36.83/9.92 | (30) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 36.83/9.92 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 36.83/9.92 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 36.83/9.92 | (33) gt(n1, tptp_minus_1) = 0
% 36.83/9.92 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 36.83/9.92 | (35) gt(n4, n3) = 0
% 36.83/9.92 | (36) ! [v0] : ~ (gt(v0, v0) = 0)
% 36.83/9.92 | (37) gt(n0, tptp_minus_1) = 0
% 36.83/9.92 | (38) gt(loopcounter, n1) = all_0_7_7
% 36.83/9.92 | (39) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 36.83/9.92 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 36.83/9.92 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 36.83/9.92 | (42) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 36.83/9.92 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 36.83/9.92 | (44) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5))))
% 36.83/9.92 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 36.83/9.92 | (46) leq(s_sworst7, n3) = 0
% 36.83/9.92 | (47) gt(n5, n4) = 0
% 36.83/9.92 | (48) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 36.83/9.92 | (49) gt(n3, n1) = 0
% 36.83/9.92 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 36.83/9.93 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 36.83/9.93 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 36.83/9.93 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 36.83/9.93 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 36.83/9.93 | (55) ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 36.83/9.93 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 36.83/9.93 | (57) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 36.83/9.93 | (58) leq(n0, s_best7) = 0
% 36.83/9.93 | (59) gt(n2, n0) = 0
% 36.83/9.93 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 36.83/9.93 | (61) succ(tptp_minus_1) = n0
% 36.83/9.93 | (62) ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 36.83/9.93 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 36.83/9.93 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 36.83/9.93 | (65) gt(n5, tptp_minus_1) = 0
% 36.83/9.93 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 36.83/9.93 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 36.83/9.93 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 36.83/9.93 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 36.83/9.93 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 36.83/9.93 | (71) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 36.83/9.93 | (72) leq(n0, s_sworst7) = 0
% 36.83/9.93 | (73) leq(n0, s_worst7) = 0
% 36.83/9.93 | (74) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9))))
% 36.83/9.93 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 37.11/9.93 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 37.11/9.93 | (77) ! [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)))))
% 37.11/9.93 | (78) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 37.11/9.93 | (79) s_sworst7_init = init
% 37.11/9.93 | (80) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 37.11/9.93 | (81) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 37.11/9.93 | (82) leq(s_best7, n3) = 0
% 37.11/9.93 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 37.11/9.94 | (84) leq(s_worst7, n3) = 0
% 37.11/9.94 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 37.11/9.94 | (86) succ(n2) = n3
% 37.11/9.94 | (87) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 37.11/9.94 | (88) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 37.11/9.94 | (89) ! [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)))))
% 37.11/9.94 | (90) gt(n4, n2) = 0
% 37.11/9.94 | (91) gt(n5, n1) = 0
% 37.11/9.94 | (92) ? [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))))
% 37.11/9.94 | (93) gt(n5, n0) = 0
% 37.11/9.94 | (94) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 37.11/9.94 | (95) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 37.11/9.94 | (96) succ(n1) = n2
% 37.11/9.94 | (97) ? [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))))
% 37.11/9.94 | (98) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 37.11/9.94 | (99) gt(n5, n3) = 0
% 37.11/9.94 | (100) ! [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))))
% 37.11/9.94 | (101) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 37.11/9.94 | (102) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 37.11/9.94 | (103) ? [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))
% 37.11/9.94 | (104) ! [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)))))
% 37.11/9.94 | (105) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 37.11/9.94 | (106) gt(n3, n2) = 0
% 37.11/9.94 | (107) gt(n4, n1) = 0
% 37.11/9.94 | (108) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 37.11/9.94 | (109) true
% 37.11/9.94 | (110) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 37.11/9.94 | (111) ? [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))))
% 37.11/9.94 | (112) ? [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))))
% 37.11/9.95 | (113) ~ (def = use)
% 37.11/9.95 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 37.11/9.95 | (115) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 37.11/9.95 | (116) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 37.11/9.95 | (117) gt(n2, n1) = 0
% 37.11/9.95 | (118) gt(n5, n2) = 0
% 37.11/9.95 | (119) gt(n3, tptp_minus_1) = 0
% 37.11/9.95 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 37.11/9.95 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 37.11/9.95 | (122) ? [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))
% 37.11/9.95 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 37.11/9.95 | (124) ! [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))))
% 37.11/9.95 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 37.11/9.95 | (126) gt(n4, tptp_minus_1) = 0
% 37.11/9.95 | (127) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 37.11/9.95 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 37.11/9.95 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 37.11/9.95 | (130) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 37.11/9.95 |
% 37.11/9.95 | Instantiating formula (42) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 37.11/9.95 | (131) pred(n3) = all_0_8_8
% 37.11/9.95 |
% 37.11/9.95 | Instantiating formula (116) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 37.11/9.95 | (132) pred(n3) = n2
% 37.11/9.95 |
% 37.11/9.95 | Instantiating formula (75) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 37.11/9.95 | (133) all_0_8_8 = n2
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (80), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (134) ~ (all_0_7_7 = 0)
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (98), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (135) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (135), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (136) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (136), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (137) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (137), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (138) 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
% 37.11/9.95 |
% 37.11/9.95 | Applying alpha-rule on (138) yields:
% 37.11/9.95 | (139) leq(all_0_6_6, n2) = 0
% 37.11/9.95 | (140) leq(n0, all_0_6_6) = 0
% 37.11/9.95 | (141) ~ (all_0_0_0 = init)
% 37.11/9.95 | (142) leq(n0, all_0_3_3) = 0
% 37.11/9.95 | (143) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 37.11/9.95 | (144) all_0_2_2 = 0
% 37.11/9.95 | (145) all_0_4_4 = 0
% 37.11/9.95 | (146) all_0_5_5 = 0
% 37.11/9.95 | (147) all_0_1_1 = 0
% 37.11/9.95 | (148) leq(all_0_3_3, n3) = 0
% 37.11/9.95 |
% 37.11/9.95 | Instantiating formula (89) 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:
% 37.11/9.95 | (149) 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))))
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (149), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (150) all_0_0_0 = init
% 37.11/9.95 |
% 37.11/9.95 | Equations (150) can reduce 141 to:
% 37.11/9.95 | (151) $false
% 37.11/9.95 |
% 37.11/9.95 |-The branch is then unsatisfiable
% 37.11/9.95 |-Branch two:
% 37.11/9.95 | (141) ~ (all_0_0_0 = init)
% 37.11/9.95 | (153) ? [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))))
% 37.11/9.95 |
% 37.11/9.95 | Instantiating (153) with all_616_0_72, all_616_1_73 yields:
% 37.11/9.95 | (154) ( ~ (all_616_1_73 = 0) & leq(n0, all_0_6_6) = all_616_1_73) | (leq(all_0_3_3, n3) = all_616_0_72 & leq(n0, all_0_3_3) = all_616_1_73 & ( ~ (all_616_0_72 = 0) | ~ (all_616_1_73 = 0)))
% 37.11/9.95 |
% 37.11/9.95 +-Applying beta-rule and splitting (154), into two cases.
% 37.11/9.95 |-Branch one:
% 37.11/9.95 | (155) ~ (all_616_1_73 = 0) & leq(n0, all_0_6_6) = all_616_1_73
% 37.11/9.95 |
% 37.11/9.95 | Applying alpha-rule on (155) yields:
% 37.11/9.95 | (156) ~ (all_616_1_73 = 0)
% 37.11/9.95 | (157) leq(n0, all_0_6_6) = all_616_1_73
% 37.11/9.95 |
% 37.11/9.95 | Instantiating formula (123) with n0, all_0_6_6, all_616_1_73, 0 and discharging atoms leq(n0, all_0_6_6) = all_616_1_73, leq(n0, all_0_6_6) = 0, yields:
% 37.11/9.95 | (158) all_616_1_73 = 0
% 37.11/9.95 |
% 37.11/9.95 | Equations (158) can reduce 156 to:
% 37.11/9.95 | (151) $false
% 37.11/9.96 |
% 37.11/9.96 |-The branch is then unsatisfiable
% 37.11/9.96 |-Branch two:
% 37.11/9.96 | (160) leq(all_0_3_3, n3) = all_616_0_72 & leq(n0, all_0_3_3) = all_616_1_73 & ( ~ (all_616_0_72 = 0) | ~ (all_616_1_73 = 0))
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (160) yields:
% 37.22/9.96 | (161) leq(all_0_3_3, n3) = all_616_0_72
% 37.22/9.96 | (162) leq(n0, all_0_3_3) = all_616_1_73
% 37.22/9.96 | (163) ~ (all_616_0_72 = 0) | ~ (all_616_1_73 = 0)
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with all_0_3_3, n3, all_616_0_72, 0 and discharging atoms leq(all_0_3_3, n3) = all_616_0_72, leq(all_0_3_3, n3) = 0, yields:
% 37.22/9.96 | (164) all_616_0_72 = 0
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with n0, all_0_3_3, all_616_1_73, 0 and discharging atoms leq(n0, all_0_3_3) = all_616_1_73, leq(n0, all_0_3_3) = 0, yields:
% 37.22/9.96 | (158) all_616_1_73 = 0
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (163), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (166) ~ (all_616_0_72 = 0)
% 37.22/9.96 |
% 37.22/9.96 | Equations (164) can reduce 166 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (164) all_616_0_72 = 0
% 37.22/9.96 | (156) ~ (all_616_1_73 = 0)
% 37.22/9.96 |
% 37.22/9.96 | Equations (158) can reduce 156 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (171) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (171) yields:
% 37.22/9.96 | (172) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 37.22/9.96 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.96 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.96 | (145) all_0_4_4 = 0
% 37.22/9.96 | (146) all_0_5_5 = 0
% 37.22/9.96 | (177) ~ (all_0_3_3 = init)
% 37.22/9.96 |
% 37.22/9.96 | From (133) and (174) follows:
% 37.22/9.96 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (55) with all_0_6_6 yields:
% 37.22/9.96 | (179) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (179), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (180) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 37.22/9.96 |
% 37.22/9.96 | From (133) and (180) follows:
% 37.22/9.96 | (181) ~ (leq(all_0_6_6, n2) = 0)
% 37.22/9.96 |
% 37.22/9.96 | Using (139) and (181) yields:
% 37.22/9.96 | (182) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.96 | (184) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.96 |
% 37.22/9.96 | Instantiating (184) with all_672_0_118, all_672_1_119 yields:
% 37.22/9.96 | (185) a_select2(s_try7_init, all_0_6_6) = all_672_0_118 & leq(n0, all_0_6_6) = all_672_1_119 & ( ~ (all_672_1_119 = 0) | all_672_0_118 = init)
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (185) yields:
% 37.22/9.96 | (186) a_select2(s_try7_init, all_0_6_6) = all_672_0_118
% 37.22/9.96 | (187) leq(n0, all_0_6_6) = all_672_1_119
% 37.22/9.96 | (188) ~ (all_672_1_119 = 0) | all_672_0_118 = init
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (125) with s_try7_init, all_0_6_6, all_672_0_118, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_672_0_118, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 37.22/9.96 | (189) all_672_0_118 = all_0_3_3
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with n0, all_0_6_6, all_672_1_119, 0 and discharging atoms leq(n0, all_0_6_6) = all_672_1_119, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.96 | (190) all_672_1_119 = 0
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (188), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (191) ~ (all_672_1_119 = 0)
% 37.22/9.96 |
% 37.22/9.96 | Equations (190) can reduce 191 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (190) all_672_1_119 = 0
% 37.22/9.96 | (194) all_672_0_118 = init
% 37.22/9.96 |
% 37.22/9.96 | Combining equations (194,189) yields a new equation:
% 37.22/9.96 | (195) all_0_3_3 = init
% 37.22/9.96 |
% 37.22/9.96 | Equations (195) can reduce 177 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (197) 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
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (197) yields:
% 37.22/9.96 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.96 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.96 | (145) all_0_4_4 = 0
% 37.22/9.96 | (201) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 37.22/9.96 | (146) all_0_5_5 = 0
% 37.22/9.96 | (177) ~ (all_0_3_3 = init)
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (6) 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:
% 37.22/9.96 | (204) 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)))
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (55) with all_0_6_6 yields:
% 37.22/9.96 | (179) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (204), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (195) all_0_3_3 = init
% 37.22/9.96 |
% 37.22/9.96 | Equations (195) can reduce 177 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (177) ~ (all_0_3_3 = init)
% 37.22/9.96 | (209) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 37.22/9.96 |
% 37.22/9.96 | Instantiating (209) with all_597_0_134, all_597_1_135 yields:
% 37.22/9.96 | (210) leq(all_0_6_6, n2) = all_597_0_134 & leq(n0, all_0_6_6) = all_597_1_135 & ( ~ (all_597_0_134 = 0) | ~ (all_597_1_135 = 0))
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (210) yields:
% 37.22/9.96 | (211) leq(all_0_6_6, n2) = all_597_0_134
% 37.22/9.96 | (212) leq(n0, all_0_6_6) = all_597_1_135
% 37.22/9.96 | (213) ~ (all_597_0_134 = 0) | ~ (all_597_1_135 = 0)
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (179), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (180) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 37.22/9.96 |
% 37.22/9.96 | From (133) and (180) follows:
% 37.22/9.96 | (181) ~ (leq(all_0_6_6, n2) = 0)
% 37.22/9.96 |
% 37.22/9.96 | Using (139) and (181) yields:
% 37.22/9.96 | (182) $false
% 37.22/9.96 |
% 37.22/9.96 |-The branch is then unsatisfiable
% 37.22/9.96 |-Branch two:
% 37.22/9.96 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.96 | (184) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.96 |
% 37.22/9.96 | Instantiating (184) with all_674_0_149, all_674_1_150 yields:
% 37.22/9.96 | (219) a_select2(s_try7_init, all_0_6_6) = all_674_0_149 & leq(n0, all_0_6_6) = all_674_1_150 & ( ~ (all_674_1_150 = 0) | all_674_0_149 = init)
% 37.22/9.96 |
% 37.22/9.96 | Applying alpha-rule on (219) yields:
% 37.22/9.96 | (220) a_select2(s_try7_init, all_0_6_6) = all_674_0_149
% 37.22/9.96 | (221) leq(n0, all_0_6_6) = all_674_1_150
% 37.22/9.96 | (222) ~ (all_674_1_150 = 0) | all_674_0_149 = init
% 37.22/9.96 |
% 37.22/9.96 | From (133) and (174) follows:
% 37.22/9.96 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with all_0_6_6, n2, all_597_0_134, 0 and discharging atoms leq(all_0_6_6, n2) = all_597_0_134, leq(all_0_6_6, n2) = 0, yields:
% 37.22/9.96 | (224) all_597_0_134 = 0
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with n0, all_0_6_6, all_674_1_150, 0 and discharging atoms leq(n0, all_0_6_6) = all_674_1_150, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.96 | (225) all_674_1_150 = 0
% 37.22/9.96 |
% 37.22/9.96 | Instantiating formula (123) with n0, all_0_6_6, all_597_1_135, all_674_1_150 and discharging atoms leq(n0, all_0_6_6) = all_674_1_150, leq(n0, all_0_6_6) = all_597_1_135, yields:
% 37.22/9.96 | (226) all_674_1_150 = all_597_1_135
% 37.22/9.96 |
% 37.22/9.96 | Combining equations (225,226) yields a new equation:
% 37.22/9.96 | (227) all_597_1_135 = 0
% 37.22/9.96 |
% 37.22/9.96 +-Applying beta-rule and splitting (213), into two cases.
% 37.22/9.96 |-Branch one:
% 37.22/9.96 | (228) ~ (all_597_0_134 = 0)
% 37.22/9.96 |
% 37.22/9.96 | Equations (224) can reduce 228 to:
% 37.22/9.96 | (151) $false
% 37.22/9.96 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (224) all_597_0_134 = 0
% 37.22/9.97 | (231) ~ (all_597_1_135 = 0)
% 37.22/9.97 |
% 37.22/9.97 | Equations (227) can reduce 231 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (233) 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
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (233) yields:
% 37.22/9.97 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.97 | (235) leq(all_0_6_6, n3) = 0
% 37.22/9.97 | (145) all_0_4_4 = 0
% 37.22/9.97 | (237) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 37.22/9.97 | (146) all_0_5_5 = 0
% 37.22/9.97 | (177) ~ (all_0_3_3 = init)
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (100) 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:
% 37.22/9.97 | (240) 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)))
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (240), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (195) all_0_3_3 = init
% 37.22/9.97 |
% 37.22/9.97 | Equations (195) can reduce 177 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (177) ~ (all_0_3_3 = init)
% 37.22/9.97 | (244) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 37.22/9.97 |
% 37.22/9.97 | Instantiating (244) with all_597_0_165, all_597_1_166 yields:
% 37.22/9.97 | (245) leq(all_0_6_6, n3) = all_597_0_165 & leq(n0, all_0_6_6) = all_597_1_166 & ( ~ (all_597_0_165 = 0) | ~ (all_597_1_166 = 0))
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (245) yields:
% 37.22/9.97 | (246) leq(all_0_6_6, n3) = all_597_0_165
% 37.22/9.97 | (247) leq(n0, all_0_6_6) = all_597_1_166
% 37.22/9.97 | (248) ~ (all_597_0_165 = 0) | ~ (all_597_1_166 = 0)
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (123) with all_0_6_6, n3, all_597_0_165, 0 and discharging atoms leq(all_0_6_6, n3) = all_597_0_165, leq(all_0_6_6, n3) = 0, yields:
% 37.22/9.97 | (249) all_597_0_165 = 0
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (123) with n0, all_0_6_6, all_597_1_166, 0 and discharging atoms leq(n0, all_0_6_6) = all_597_1_166, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.97 | (250) all_597_1_166 = 0
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (248), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (251) ~ (all_597_0_165 = 0)
% 37.22/9.97 |
% 37.22/9.97 | Equations (249) can reduce 251 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (249) all_597_0_165 = 0
% 37.22/9.97 | (254) ~ (all_597_1_166 = 0)
% 37.22/9.97 |
% 37.22/9.97 | Equations (250) can reduce 254 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (256) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (256) yields:
% 37.22/9.97 | (257) all_0_7_7 = 0
% 37.22/9.97 | (258) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 37.22/9.97 |
% 37.22/9.97 | Equations (257) can reduce 134 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (257) all_0_7_7 = 0
% 37.22/9.97 | (261) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (261) yields:
% 37.22/9.97 | (262) pvar1402_init = init
% 37.22/9.97 | (263) pvar1401_init = init
% 37.22/9.97 | (264) pvar1400_init = init
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (98), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (135) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (135), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (136) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (136), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (137) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (137), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (138) 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
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (138) yields:
% 37.22/9.97 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.97 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.97 | (141) ~ (all_0_0_0 = init)
% 37.22/9.97 | (142) leq(n0, all_0_3_3) = 0
% 37.22/9.97 | (143) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 37.22/9.97 | (144) all_0_2_2 = 0
% 37.22/9.97 | (145) all_0_4_4 = 0
% 37.22/9.97 | (146) all_0_5_5 = 0
% 37.22/9.97 | (147) all_0_1_1 = 0
% 37.22/9.97 | (148) leq(all_0_3_3, n3) = 0
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (89) 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:
% 37.22/9.97 | (149) 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))))
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (55) with all_0_6_6 yields:
% 37.22/9.97 | (179) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (179), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (180) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 37.22/9.97 |
% 37.22/9.97 | From (133) and (180) follows:
% 37.22/9.97 | (181) ~ (leq(all_0_6_6, n2) = 0)
% 37.22/9.97 |
% 37.22/9.97 | Using (139) and (181) yields:
% 37.22/9.97 | (182) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.97 | (184) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.97 |
% 37.22/9.97 | Instantiating (184) with all_570_0_197, all_570_1_198 yields:
% 37.22/9.97 | (286) a_select2(s_try7_init, all_0_6_6) = all_570_0_197 & leq(n0, all_0_6_6) = all_570_1_198 & ( ~ (all_570_1_198 = 0) | all_570_0_197 = init)
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (286) yields:
% 37.22/9.97 | (287) a_select2(s_try7_init, all_0_6_6) = all_570_0_197
% 37.22/9.97 | (288) leq(n0, all_0_6_6) = all_570_1_198
% 37.22/9.97 | (289) ~ (all_570_1_198 = 0) | all_570_0_197 = init
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (149), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (150) all_0_0_0 = init
% 37.22/9.97 |
% 37.22/9.97 | Equations (150) can reduce 141 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (141) ~ (all_0_0_0 = init)
% 37.22/9.97 | (153) ? [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))))
% 37.22/9.97 |
% 37.22/9.97 | Instantiating (153) with all_594_0_201, all_594_1_202 yields:
% 37.22/9.97 | (294) ( ~ (all_594_1_202 = 0) & leq(n0, all_0_6_6) = all_594_1_202) | (leq(all_0_3_3, n3) = all_594_0_201 & leq(n0, all_0_3_3) = all_594_1_202 & ( ~ (all_594_0_201 = 0) | ~ (all_594_1_202 = 0)))
% 37.22/9.97 |
% 37.22/9.97 +-Applying beta-rule and splitting (294), into two cases.
% 37.22/9.97 |-Branch one:
% 37.22/9.97 | (295) ~ (all_594_1_202 = 0) & leq(n0, all_0_6_6) = all_594_1_202
% 37.22/9.97 |
% 37.22/9.97 | Applying alpha-rule on (295) yields:
% 37.22/9.97 | (296) ~ (all_594_1_202 = 0)
% 37.22/9.97 | (297) leq(n0, all_0_6_6) = all_594_1_202
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (123) with n0, all_0_6_6, all_594_1_202, 0 and discharging atoms leq(n0, all_0_6_6) = all_594_1_202, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.97 | (298) all_594_1_202 = 0
% 37.22/9.97 |
% 37.22/9.97 | Instantiating formula (123) with n0, all_0_6_6, all_570_1_198, all_594_1_202 and discharging atoms leq(n0, all_0_6_6) = all_594_1_202, leq(n0, all_0_6_6) = all_570_1_198, yields:
% 37.22/9.97 | (299) all_594_1_202 = all_570_1_198
% 37.22/9.97 |
% 37.22/9.97 | Combining equations (298,299) yields a new equation:
% 37.22/9.97 | (300) all_570_1_198 = 0
% 37.22/9.97 |
% 37.22/9.97 | Combining equations (300,299) yields a new equation:
% 37.22/9.97 | (298) all_594_1_202 = 0
% 37.22/9.97 |
% 37.22/9.97 | Equations (298) can reduce 296 to:
% 37.22/9.97 | (151) $false
% 37.22/9.97 |
% 37.22/9.97 |-The branch is then unsatisfiable
% 37.22/9.97 |-Branch two:
% 37.22/9.97 | (303) leq(all_0_3_3, n3) = all_594_0_201 & leq(n0, all_0_3_3) = all_594_1_202 & ( ~ (all_594_0_201 = 0) | ~ (all_594_1_202 = 0))
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (303) yields:
% 37.22/9.98 | (304) leq(all_0_3_3, n3) = all_594_0_201
% 37.22/9.98 | (305) leq(n0, all_0_3_3) = all_594_1_202
% 37.22/9.98 | (306) ~ (all_594_0_201 = 0) | ~ (all_594_1_202 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with all_0_3_3, n3, all_594_0_201, 0 and discharging atoms leq(all_0_3_3, n3) = all_594_0_201, leq(all_0_3_3, n3) = 0, yields:
% 37.22/9.98 | (307) all_594_0_201 = 0
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with n0, all_0_3_3, all_594_1_202, 0 and discharging atoms leq(n0, all_0_3_3) = all_594_1_202, leq(n0, all_0_3_3) = 0, yields:
% 37.22/9.98 | (298) all_594_1_202 = 0
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (306), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (309) ~ (all_594_0_201 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Equations (307) can reduce 309 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (307) all_594_0_201 = 0
% 37.22/9.98 | (296) ~ (all_594_1_202 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Equations (298) can reduce 296 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (171) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (171) yields:
% 37.22/9.98 | (172) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 37.22/9.98 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.98 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.98 | (145) all_0_4_4 = 0
% 37.22/9.98 | (146) all_0_5_5 = 0
% 37.22/9.98 | (177) ~ (all_0_3_3 = init)
% 37.22/9.98 |
% 37.22/9.98 | From (133) and (174) follows:
% 37.22/9.98 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (55) with all_0_6_6 yields:
% 37.22/9.98 | (179) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (179), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (180) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 37.22/9.98 |
% 37.22/9.98 | From (133) and (180) follows:
% 37.22/9.98 | (181) ~ (leq(all_0_6_6, n2) = 0)
% 37.22/9.98 |
% 37.22/9.98 | Using (139) and (181) yields:
% 37.22/9.98 | (182) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.98 | (184) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.98 |
% 37.22/9.98 | Instantiating (184) with all_556_0_221, all_556_1_222 yields:
% 37.22/9.98 | (328) a_select2(s_try7_init, all_0_6_6) = all_556_0_221 & leq(n0, all_0_6_6) = all_556_1_222 & ( ~ (all_556_1_222 = 0) | all_556_0_221 = init)
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (328) yields:
% 37.22/9.98 | (329) a_select2(s_try7_init, all_0_6_6) = all_556_0_221
% 37.22/9.98 | (330) leq(n0, all_0_6_6) = all_556_1_222
% 37.22/9.98 | (331) ~ (all_556_1_222 = 0) | all_556_0_221 = init
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (125) with s_try7_init, all_0_6_6, all_556_0_221, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_556_0_221, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 37.22/9.98 | (332) all_556_0_221 = all_0_3_3
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with n0, all_0_6_6, all_556_1_222, 0 and discharging atoms leq(n0, all_0_6_6) = all_556_1_222, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.98 | (333) all_556_1_222 = 0
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (331), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (334) ~ (all_556_1_222 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Equations (333) can reduce 334 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (333) all_556_1_222 = 0
% 37.22/9.98 | (337) all_556_0_221 = init
% 37.22/9.98 |
% 37.22/9.98 | Combining equations (332,337) yields a new equation:
% 37.22/9.98 | (338) all_0_3_3 = init
% 37.22/9.98 |
% 37.22/9.98 | Simplifying 338 yields:
% 37.22/9.98 | (195) all_0_3_3 = init
% 37.22/9.98 |
% 37.22/9.98 | Equations (195) can reduce 177 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (197) 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
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (197) yields:
% 37.22/9.98 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.98 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.98 | (145) all_0_4_4 = 0
% 37.22/9.98 | (201) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 37.22/9.98 | (146) all_0_5_5 = 0
% 37.22/9.98 | (177) ~ (all_0_3_3 = init)
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (6) 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:
% 37.22/9.98 | (204) 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)))
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (55) with all_0_6_6 yields:
% 37.22/9.98 | (179) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (179), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (180) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 37.22/9.98 |
% 37.22/9.98 | From (133) and (180) follows:
% 37.22/9.98 | (181) ~ (leq(all_0_6_6, n2) = 0)
% 37.22/9.98 |
% 37.22/9.98 | Using (139) and (181) yields:
% 37.22/9.98 | (182) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (174) leq(all_0_6_6, all_0_8_8) = 0
% 37.22/9.98 | (184) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 37.22/9.98 |
% 37.22/9.98 | From (133) and (174) follows:
% 37.22/9.98 | (139) leq(all_0_6_6, n2) = 0
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (204), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (195) all_0_3_3 = init
% 37.22/9.98 |
% 37.22/9.98 | Equations (195) can reduce 177 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (177) ~ (all_0_3_3 = init)
% 37.22/9.98 | (209) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 37.22/9.98 |
% 37.22/9.98 | Instantiating (209) with all_596_0_251, all_596_1_252 yields:
% 37.22/9.98 | (360) leq(all_0_6_6, n2) = all_596_0_251 & leq(n0, all_0_6_6) = all_596_1_252 & ( ~ (all_596_0_251 = 0) | ~ (all_596_1_252 = 0))
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (360) yields:
% 37.22/9.98 | (361) leq(all_0_6_6, n2) = all_596_0_251
% 37.22/9.98 | (362) leq(n0, all_0_6_6) = all_596_1_252
% 37.22/9.98 | (363) ~ (all_596_0_251 = 0) | ~ (all_596_1_252 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with all_0_6_6, n2, all_596_0_251, 0 and discharging atoms leq(all_0_6_6, n2) = all_596_0_251, leq(all_0_6_6, n2) = 0, yields:
% 37.22/9.98 | (364) all_596_0_251 = 0
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with n0, all_0_6_6, all_596_1_252, 0 and discharging atoms leq(n0, all_0_6_6) = all_596_1_252, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.98 | (365) all_596_1_252 = 0
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (363), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (366) ~ (all_596_0_251 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Equations (364) can reduce 366 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (364) all_596_0_251 = 0
% 37.22/9.98 | (369) ~ (all_596_1_252 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Equations (365) can reduce 369 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (233) 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
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (233) yields:
% 37.22/9.98 | (140) leq(n0, all_0_6_6) = 0
% 37.22/9.98 | (235) leq(all_0_6_6, n3) = 0
% 37.22/9.98 | (145) all_0_4_4 = 0
% 37.22/9.98 | (237) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 37.22/9.98 | (146) all_0_5_5 = 0
% 37.22/9.98 | (177) ~ (all_0_3_3 = init)
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (100) 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:
% 37.22/9.98 | (240) 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)))
% 37.22/9.98 |
% 37.22/9.98 +-Applying beta-rule and splitting (240), into two cases.
% 37.22/9.98 |-Branch one:
% 37.22/9.98 | (195) all_0_3_3 = init
% 37.22/9.98 |
% 37.22/9.98 | Equations (195) can reduce 177 to:
% 37.22/9.98 | (151) $false
% 37.22/9.98 |
% 37.22/9.98 |-The branch is then unsatisfiable
% 37.22/9.98 |-Branch two:
% 37.22/9.98 | (177) ~ (all_0_3_3 = init)
% 37.22/9.98 | (244) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 37.22/9.98 |
% 37.22/9.98 | Instantiating (244) with all_565_0_266, all_565_1_267 yields:
% 37.22/9.98 | (383) leq(all_0_6_6, n3) = all_565_0_266 & leq(n0, all_0_6_6) = all_565_1_267 & ( ~ (all_565_0_266 = 0) | ~ (all_565_1_267 = 0))
% 37.22/9.98 |
% 37.22/9.98 | Applying alpha-rule on (383) yields:
% 37.22/9.98 | (384) leq(all_0_6_6, n3) = all_565_0_266
% 37.22/9.98 | (385) leq(n0, all_0_6_6) = all_565_1_267
% 37.22/9.98 | (386) ~ (all_565_0_266 = 0) | ~ (all_565_1_267 = 0)
% 37.22/9.98 |
% 37.22/9.98 | Instantiating formula (123) with all_0_6_6, n3, all_565_0_266, 0 and discharging atoms leq(all_0_6_6, n3) = all_565_0_266, leq(all_0_6_6, n3) = 0, yields:
% 37.22/9.99 | (387) all_565_0_266 = 0
% 37.22/9.99 |
% 37.22/9.99 | Instantiating formula (123) with n0, all_0_6_6, all_565_1_267, 0 and discharging atoms leq(n0, all_0_6_6) = all_565_1_267, leq(n0, all_0_6_6) = 0, yields:
% 37.22/9.99 | (388) all_565_1_267 = 0
% 37.22/9.99 |
% 37.22/9.99 +-Applying beta-rule and splitting (386), into two cases.
% 37.22/9.99 |-Branch one:
% 37.22/9.99 | (389) ~ (all_565_0_266 = 0)
% 37.22/9.99 |
% 37.22/9.99 | Equations (387) can reduce 389 to:
% 37.22/9.99 | (151) $false
% 37.22/9.99 |
% 37.22/9.99 |-The branch is then unsatisfiable
% 37.22/9.99 |-Branch two:
% 37.22/9.99 | (387) all_565_0_266 = 0
% 37.22/9.99 | (392) ~ (all_565_1_267 = 0)
% 37.22/9.99 |
% 37.22/9.99 | Equations (388) can reduce 392 to:
% 37.22/9.99 | (151) $false
% 37.22/9.99 |
% 37.22/9.99 |-The branch is then unsatisfiable
% 37.22/9.99 |-Branch two:
% 37.22/9.99 | (256) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 37.22/9.99 |
% 37.22/9.99 | Applying alpha-rule on (256) yields:
% 37.22/9.99 | (257) all_0_7_7 = 0
% 37.22/9.99 | (258) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 37.22/9.99 |
% 37.22/9.99 +-Applying beta-rule and splitting (258), into two cases.
% 37.22/9.99 |-Branch one:
% 37.22/9.99 | (397) ~ (pvar1402_init = init)
% 37.22/9.99 |
% 37.22/9.99 | Equations (262) can reduce 397 to:
% 37.22/9.99 | (151) $false
% 37.22/9.99 |
% 37.22/9.99 |-The branch is then unsatisfiable
% 37.22/9.99 |-Branch two:
% 37.22/9.99 | (262) pvar1402_init = init
% 37.22/9.99 | (400) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 37.22/9.99 |
% 37.22/9.99 +-Applying beta-rule and splitting (400), into two cases.
% 37.22/9.99 |-Branch one:
% 37.22/9.99 | (401) ~ (pvar1401_init = init)
% 37.22/9.99 |
% 37.22/9.99 | Equations (263) can reduce 401 to:
% 37.22/9.99 | (151) $false
% 37.22/9.99 |
% 37.22/9.99 |-The branch is then unsatisfiable
% 37.22/9.99 |-Branch two:
% 37.22/9.99 | (263) pvar1401_init = init
% 37.22/9.99 | (404) ~ (pvar1400_init = init)
% 37.22/9.99 |
% 37.22/9.99 | Equations (264) can reduce 404 to:
% 37.22/9.99 | (151) $false
% 37.22/9.99 |
% 37.22/9.99 |-The branch is then unsatisfiable
% 37.22/9.99 % SZS output end Proof for theBenchmark
% 37.22/9.99
% 37.22/9.99 9400ms
%------------------------------------------------------------------------------