TSTP Solution File: SWV028+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV028+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:49:46 EDT 2022
% Result : Theorem 24.28s 7.14s
% Output : Proof 43.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV028+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 15 03:42:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.28/1.09 Prover 0: Preprocessing ...
% 3.97/1.59 Prover 0: Warning: ignoring some quantifiers
% 3.97/1.62 Prover 0: Constructing countermodel ...
% 19.09/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.52/6.08 Prover 1: Preprocessing ...
% 20.40/6.27 Prover 1: Warning: ignoring some quantifiers
% 20.79/6.28 Prover 1: Constructing countermodel ...
% 24.28/7.13 Prover 1: proved (1193ms)
% 24.28/7.14 Prover 0: stopped
% 24.28/7.14
% 24.28/7.14 No countermodel exists, formula is valid
% 24.28/7.14 % SZS status Theorem for theBenchmark
% 24.28/7.14
% 24.28/7.14 Generating proof ... Warning: ignoring some quantifiers
% 42.50/12.42 found it (size 194)
% 42.50/12.42
% 42.50/12.42 % SZS output start Proof for theBenchmark
% 42.50/12.42 Assumed formulas after preprocessing and simplification:
% 42.50/12.42 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n410, n1) = v0 & minus(n3, n1) = v1 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv19, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v2 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (tptp_mmul(v24, v25) = v26) | ~ (tptp_mmul(v17, v21) = v22) | ~ (tptp_mmul(v16, v22) = v23) | ~ (tptp_mmul(v15, v18) = v19) | ~ (tptp_mmul(v14, v19) = v20) | ~ (tptp_mmul(v13, v26) = v27) | ~ (tptp_madd(v20, v23) = v24) | ~ (tptp_madd(v12, v27) = v28) | ~ (trans(v16) = v21) | ~ (trans(v14) = v18) | ~ (trans(v13) = v25) | ~ (a_select3(v28, v29, v30) = v31) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ((v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v17, v33, v32) = v39 & a_select3(v17, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v15, v33, v32) = v39 & a_select3(v15, v32, v33) = v38 & leq(v33, v11) = 0 & leq(v32, v11) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v12, v33, v32) = v39 & a_select3(v12, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v10) = v35 & leq(v29, v10) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | v36 = v31)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (tptp_const_array2(v17, v18, v16) = v19) | ~ (a_select3(v19, v10, v13) = v20) | ~ (dim(v14, v15) = v18) | ~ (dim(v11, v12) = v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (leq(v14, v13) = v23 & leq(v13, v15) = v24 & leq(v11, v10) = v21 & leq(v10, v12) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) | ~ (tptp_mmul(v12, v15) = v16) | ~ (trans(v12) = v14) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v10) = v23 & leq(v17, v10) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v10) = v22 & leq(v16, v10) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update3(v14, v12, v13, v15) = v16) | ~ (a_select3(v16, v10, v11) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v24 = v15) & a_select3(v14, v18, v19) = v24 & leq(v19, v13) = 0 & leq(v18, v12) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (leq(v11, v13) = v21 & leq(v10, v12) = v19 & leq(n0, v11) = v20 & leq(n0, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v10 | v13 = v11 | ~ (tptp_update3(v14, v11, v12, v15) = v16) | ~ (a_select3(v16, v13, v12) = v17) | ? [v18] : ( ~ (v18 = v10) & a_select3(v14, v13, v12) = v18)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_update3(v11, v14, v14, v15) = v16) | ~ (a_select3(v16, v12, v13) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v10) = 0 & leq(v18, v10) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v16, v13, v12) = v24 & leq(v14, v10) = v23 & leq(v13, v10) = v21 & leq(v12, v10) = v19 & leq(n0, v14) = v22 & leq(n0, v13) = v20 & leq(n0, v12) = v18 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v24 = v17)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (dim(v11, v12) = v14) | ~ (tptp_const_array1(v14, v13) = v15) | ~ (a_select2(v15, v10) = v16) | ? [v17] : ? [v18] : (leq(v11, v10) = v17 & leq(v10, v12) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v10 | v12 = v11 | ~ (tptp_update2(v13, v11, v14) = v15) | ~ (a_select2(v15, v12) = v16) | ? [v17] : ( ~ (v17 = v10) & a_select2(v13, v12) = v17)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_msub(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_madd(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v12, v11, v13) = v14) | ~ (a_select2(v14, v10) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v18 = 0 & v17 = 0 & ~ (v19 = v13) & a_select2(v12, v16) = v19 & leq(v16, v11) = 0 & leq(n0, v16) = 0) | (leq(v10, v11) = v17 & leq(n0, v10) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update3(v10, v11, v12, v13) = v14) | ~ (a_select3(v14, v11, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (tptp_update3(v15, v14, v13, v12) = v11) | ~ (tptp_update3(v15, v14, v13, v12) = v10)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inv(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (trans(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v10, v11, v12) = v13) | ~ (a_select2(v13, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_update2(v14, v13, v12) = v11) | ~ (tptp_update2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (sum(v14, v13, v12) = v11) | ~ (sum(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_const_array2(v14, v13, v12) = v11) | ~ (tptp_const_array2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (a_select3(v14, v13, v12) = v11) | ~ (a_select3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (uniform_int_rnd(v11, v10) = v12) | ~ (leq(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (pred(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (minus(v13, v12) = v11) | ~ (minus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (plus(v13, v12) = v11) | ~ (plus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_mmul(v13, v12) = v11) | ~ (tptp_mmul(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_msub(v13, v12) = v11) | ~ (tptp_msub(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_madd(v13, v12) = v11) | ~ (tptp_madd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (dim(v13, v12) = v11) | ~ (dim(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_const_array1(v13, v12) = v11) | ~ (tptp_const_array1(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (a_select2(v13, v12) = v11) | ~ (a_select2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (uniform_int_rnd(v13, v12) = v11) | ~ (uniform_int_rnd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = init | ~ (a_select3(simplex7_init, v11, v10) = v12) | ~ (leq(v10, n2) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & leq(n0, v10) = v13) | (leq(v11, n3) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v10, v11) = v12) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (inv(v12) = v11) | ~ (inv(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (trans(v12) = v11) | ~ (trans(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (succ(v12) = v11) | ~ (succ(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (pred(v12) = v11) | ~ (pred(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (minus(v10, v11) = v12) | ~ (leq(v12, v10) = 0) | leq(n0, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (uniform_int_rnd(v11, v10) = v12) | ? [v13] : ? [v14] : (leq(n0, v12) = v14 & leq(n0, v10) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | ~ (gt(v12, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (leq(v12, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | ~ (leq(v10, v12) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : (v11 = init | ~ (a_select2(s_center7_init, v10) = v11) | ? [v12] : ? [v13] : (leq(v10, n2) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = init | ~ (a_select2(s_values7_init, v10) = v11) | ? [v12] : ? [v13] : (leq(v10, n3) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v10] : ! [v11] : (v11 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = n0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (minus(v10, n1) = v11) | pred(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(v10, n5) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n4) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n3) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n2) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n1) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(n5, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n4, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n3, v10) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n2, v10) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n1, v10) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | pred(v11) = v10) & ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | succ(v11) = v10) & ! [v10] : ! [v11] : ( ~ (geq(v10, v11) = 0) | leq(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (gt(v11, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : (v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n5) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n4) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n3) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n2) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n1 | v10 = n0 | ~ (leq(v10, n1) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n0 | ~ (leq(n0, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(v10, n0) = v11)) & ! [v10] : ( ~ (leq(v10, v1) = 0) | ? [v11] : ? [v12] : (a_select2(s_try7_init, v10) = v12 & leq(n0, v10) = v11 & ( ~ (v11 = 0) | v12 = init))) & ! [v10] : ~ (gt(v10, v10) = 0) & ( ~ (v2 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v8 = 0 & v7 = 0 & v5 = 0 & v4 = 0 & ~ (v9 = init) & a_select3(simplex7_init, v6, v3) = v9 & leq(v6, n3) = 0 & leq(v3, n2) = 0 & leq(n0, v6) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 & ~ (v6 = init) & a_select2(s_try7_init, v3) = v6 & leq(v3, v1) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 & ~ (v6 = init) & a_select2(s_center7_init, v3) = v6 & leq(v3, n2) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 & ~ (v6 = init) & a_select2(s_values7_init, v3) = v6 & leq(v3, n3) = 0 & leq(n0, v3) = 0) | (v2 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))))
% 42.56/12.50 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 42.56/12.50 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n410, n1) = all_0_9_9 & minus(n3, n1) = all_0_8_8 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv19, all_0_9_9) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_7_7 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))))
% 42.97/12.54 |
% 42.97/12.54 | Applying alpha-rule on (1) yields:
% 42.97/12.54 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 42.97/12.54 | (3) ! [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))))
% 42.97/12.54 | (4) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 42.97/12.54 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 42.97/12.54 | (6) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 42.97/12.54 | (7) ! [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))
% 42.97/12.54 | (8) gt(n1, tptp_minus_1) = 0
% 42.97/12.54 | (9) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 42.97/12.54 | (10) gt(n4, n3) = 0
% 42.97/12.54 | (11) gt(n4, tptp_minus_1) = 0
% 42.97/12.54 | (12) gt(n410, tptp_minus_1) = 0
% 42.97/12.54 | (13) gt(n2, n0) = 0
% 42.97/12.54 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 42.97/12.54 | (15) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 42.97/12.54 | (16) minus(n3, n1) = all_0_8_8
% 42.97/12.54 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 42.97/12.54 | (18) ? [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))
% 42.97/12.54 | (19) leq(pv19, all_0_9_9) = 0
% 42.97/12.54 | (20) gt(n410, n2) = 0
% 42.97/12.54 | (21) gt(n4, n1) = 0
% 42.97/12.54 | (22) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 42.97/12.54 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 42.97/12.54 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 42.97/12.54 | (25) gt(n410, n0) = 0
% 42.97/12.54 | (26) gt(n410, n1) = 0
% 42.97/12.54 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 42.97/12.54 | (28) gt(loopcounter, n1) = all_0_7_7
% 42.97/12.54 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 42.97/12.55 | (30) gt(n2, n1) = 0
% 42.97/12.55 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 42.97/12.55 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 42.97/12.55 | (33) ? [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))))
% 42.97/12.55 | (34) ? [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))))
% 42.97/12.55 | (35) gt(n4, n2) = 0
% 42.97/12.55 | (36) s_best7_init = init
% 42.97/12.55 | (37) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 42.97/12.55 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 42.97/12.55 | (39) succ(n1) = n2
% 42.97/12.55 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 42.97/12.55 | (41) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.97/12.55 | (42) leq(s_sworst7, n3) = 0
% 42.97/12.55 | (43) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 42.97/12.55 | (44) gt(n3, n1) = 0
% 42.97/12.55 | (45) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 42.97/12.55 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 42.97/12.55 | (47) gt(n5, n1) = 0
% 42.97/12.55 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 42.97/12.55 | (49) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 42.97/12.55 | (50) gt(n5, n3) = 0
% 42.97/12.55 | (51) gt(n3, n0) = 0
% 42.97/12.55 | (52) succ(n0) = n1
% 42.97/12.55 | (53) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 42.97/12.55 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 42.97/12.55 | (55) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.97/12.55 | (56) leq(n0, s_sworst7) = 0
% 42.97/12.55 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 42.97/12.55 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 42.97/12.55 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 42.97/12.55 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 42.97/12.55 | (61) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 42.97/12.55 | (62) gt(n5, n2) = 0
% 42.97/12.55 | (63) ! [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))
% 42.97/12.55 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 42.97/12.56 | (65) ? [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))))
% 42.97/12.56 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 42.97/12.56 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 42.97/12.56 | (68) gt(n410, n3) = 0
% 42.97/12.56 | (69) leq(n0, s_best7) = 0
% 42.97/12.56 | (70) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 42.97/12.56 | (71) minus(n410, n1) = all_0_9_9
% 42.97/12.56 | (72) leq(n0, pv1376) = 0
% 42.97/12.56 | (73) true
% 42.97/12.56 | (74) gt(n410, n5) = 0
% 42.97/12.56 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 42.97/12.56 | (76) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.97/12.56 | (77) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 42.97/12.56 | (78) leq(pv1376, n3) = 0
% 42.97/12.56 | (79) ! [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))))
% 42.97/12.56 | (80) gt(n4, n0) = 0
% 42.97/12.56 | (81) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 42.97/12.56 | (82) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 42.97/12.56 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 42.97/12.56 | (84) ? [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))))
% 42.97/12.56 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 42.97/12.56 | (86) gt(n3, n2) = 0
% 42.97/12.56 | (87) succ(n4) = n5
% 42.97/12.56 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 42.97/12.56 | (89) succ(n3) = n4
% 42.97/12.56 | (90) gt(n3, tptp_minus_1) = 0
% 42.97/12.56 | (91) leq(n0, s_worst7) = 0
% 42.97/12.56 | (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))))
% 42.97/12.57 | (93) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 42.97/12.57 | (94) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 42.97/12.57 | (95) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 42.97/12.57 | (96) ! [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)))))
% 42.97/12.57 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 42.97/12.57 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 42.97/12.57 | (99) leq(s_worst7, n3) = 0
% 42.97/12.57 | (100) succ(tptp_minus_1) = n0
% 42.97/12.57 | (101) ! [v0] : ~ (gt(v0, v0) = 0)
% 42.97/12.57 | (102) gt(n1, n0) = 0
% 42.97/12.57 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 42.97/12.57 | (104) ? [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))
% 42.97/12.57 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 42.97/12.57 | (106) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 42.97/12.57 | (107) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.97/12.57 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 42.97/12.57 | (109) s_sworst7_init = init
% 42.97/12.57 | (110) ! [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)))
% 42.97/12.57 | (111) ! [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)))))
% 42.97/12.57 | (112) ! [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))))
% 42.97/12.57 | (113) gt(n0, tptp_minus_1) = 0
% 42.97/12.57 | (114) succ(n2) = n3
% 42.97/12.57 | (115) gt(n2, tptp_minus_1) = 0
% 42.97/12.57 | (116) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 42.97/12.57 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 42.97/12.57 | (118) leq(s_best7, n3) = 0
% 42.97/12.57 | (119) ! [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)))))
% 42.97/12.58 | (120) s_worst7_init = init
% 42.97/12.58 | (121) leq(n0, pv19) = 0
% 42.97/12.58 | (122) gt(n410, n4) = 0
% 42.97/12.58 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 42.97/12.58 | (124) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.97/12.58 | (125) ? [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))))
% 42.97/12.58 | (126) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 42.97/12.58 | (127) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 42.97/12.58 | (128) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 42.97/12.58 | (129) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 42.97/12.58 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 42.97/12.58 | (131) ? [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))))
% 43.29/12.58 | (132) ? [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))))
% 43.29/12.58 | (133) ! [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))))
% 43.29/12.58 | (134) gt(n5, n0) = 0
% 43.29/12.58 | (135) ~ (def = use)
% 43.29/12.58 | (136) gt(n5, n4) = 0
% 43.29/12.58 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 43.29/12.58 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 43.29/12.58 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 43.29/12.58 | (140) (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)))
% 43.29/12.58 | (141) gt(n5, tptp_minus_1) = 0
% 43.29/12.58 |
% 43.29/12.58 | Instantiating formula (127) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 43.29/12.58 | (142) pred(n3) = all_0_8_8
% 43.29/12.58 |
% 43.29/12.58 | Instantiating formula (94) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 43.29/12.58 | (143) pred(n3) = n2
% 43.29/12.58 |
% 43.29/12.58 | Instantiating formula (108) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 43.29/12.58 | (144) all_0_8_8 = n2
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (37), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (145) ~ (all_0_7_7 = 0)
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (140), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (146) (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)
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (146), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (147) (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)
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (147), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (148) (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)
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (148), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (149) 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
% 43.29/12.59 |
% 43.29/12.59 | Applying alpha-rule on (149) yields:
% 43.29/12.59 | (150) all_0_1_1 = 0
% 43.29/12.59 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.59 | (152) leq(all_0_3_3, n3) = 0
% 43.29/12.59 | (153) all_0_5_5 = 0
% 43.29/12.59 | (154) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 43.29/12.59 | (155) leq(n0, all_0_3_3) = 0
% 43.29/12.59 | (156) all_0_2_2 = 0
% 43.29/12.59 | (157) ~ (all_0_0_0 = init)
% 43.29/12.59 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.59 | (159) all_0_4_4 = 0
% 43.29/12.59 |
% 43.29/12.59 | Instantiating formula (119) 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:
% 43.29/12.59 | (160) 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))))
% 43.29/12.59 |
% 43.29/12.59 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.59 | (161) ~ (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))
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (160), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (162) all_0_0_0 = init
% 43.29/12.59 |
% 43.29/12.59 | Equations (162) can reduce 157 to:
% 43.29/12.59 | (163) $false
% 43.29/12.59 |
% 43.29/12.59 |-The branch is then unsatisfiable
% 43.29/12.59 |-Branch two:
% 43.29/12.59 | (157) ~ (all_0_0_0 = init)
% 43.29/12.59 | (165) ? [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))))
% 43.29/12.59 |
% 43.29/12.59 | Instantiating (165) with all_733_0_74, all_733_1_75 yields:
% 43.29/12.59 | (166) ( ~ (all_733_1_75 = 0) & leq(n0, all_0_6_6) = all_733_1_75) | (leq(all_0_3_3, n3) = all_733_0_74 & leq(n0, all_0_3_3) = all_733_1_75 & ( ~ (all_733_0_74 = 0) | ~ (all_733_1_75 = 0)))
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (166), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (167) ~ (all_733_1_75 = 0) & leq(n0, all_0_6_6) = all_733_1_75
% 43.29/12.59 |
% 43.29/12.59 | Applying alpha-rule on (167) yields:
% 43.29/12.59 | (168) ~ (all_733_1_75 = 0)
% 43.29/12.59 | (169) leq(n0, all_0_6_6) = all_733_1_75
% 43.29/12.59 |
% 43.29/12.59 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.59 |-Branch one:
% 43.29/12.59 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.59 |
% 43.29/12.59 | From (144) and (170) follows:
% 43.29/12.59 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.59 |
% 43.29/12.59 | Using (151) and (171) yields:
% 43.29/12.59 | (172) $false
% 43.29/12.59 |
% 43.29/12.59 |-The branch is then unsatisfiable
% 43.29/12.59 |-Branch two:
% 43.29/12.59 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.59 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.59 |
% 43.29/12.59 | Instantiating (174) with all_906_0_101, all_906_1_102 yields:
% 43.29/12.59 | (175) a_select2(s_try7_init, all_0_6_6) = all_906_0_101 & leq(n0, all_0_6_6) = all_906_1_102 & ( ~ (all_906_1_102 = 0) | all_906_0_101 = init)
% 43.29/12.59 |
% 43.29/12.59 | Applying alpha-rule on (175) yields:
% 43.29/12.59 | (176) a_select2(s_try7_init, all_0_6_6) = all_906_0_101
% 43.29/12.59 | (177) leq(n0, all_0_6_6) = all_906_1_102
% 43.29/12.59 | (178) ~ (all_906_1_102 = 0) | all_906_0_101 = init
% 43.29/12.59 |
% 43.29/12.59 | Instantiating formula (46) with n0, all_0_6_6, all_906_1_102, 0 and discharging atoms leq(n0, all_0_6_6) = all_906_1_102, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.59 | (179) all_906_1_102 = 0
% 43.29/12.59 |
% 43.29/12.59 | Instantiating formula (46) with n0, all_0_6_6, all_733_1_75, all_906_1_102 and discharging atoms leq(n0, all_0_6_6) = all_906_1_102, leq(n0, all_0_6_6) = all_733_1_75, yields:
% 43.29/12.59 | (180) all_906_1_102 = all_733_1_75
% 43.29/12.59 |
% 43.29/12.59 | Combining equations (179,180) yields a new equation:
% 43.29/12.59 | (181) all_733_1_75 = 0
% 43.29/12.59 |
% 43.29/12.60 | Equations (181) can reduce 168 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (183) leq(all_0_3_3, n3) = all_733_0_74 & leq(n0, all_0_3_3) = all_733_1_75 & ( ~ (all_733_0_74 = 0) | ~ (all_733_1_75 = 0))
% 43.29/12.60 |
% 43.29/12.60 | Applying alpha-rule on (183) yields:
% 43.29/12.60 | (184) leq(all_0_3_3, n3) = all_733_0_74
% 43.29/12.60 | (185) leq(n0, all_0_3_3) = all_733_1_75
% 43.29/12.60 | (186) ~ (all_733_0_74 = 0) | ~ (all_733_1_75 = 0)
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (46) with all_0_3_3, n3, all_733_0_74, 0 and discharging atoms leq(all_0_3_3, n3) = all_733_0_74, leq(all_0_3_3, n3) = 0, yields:
% 43.29/12.60 | (187) all_733_0_74 = 0
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (46) with n0, all_0_3_3, all_733_1_75, 0 and discharging atoms leq(n0, all_0_3_3) = all_733_1_75, leq(n0, all_0_3_3) = 0, yields:
% 43.29/12.60 | (181) all_733_1_75 = 0
% 43.29/12.60 |
% 43.29/12.60 +-Applying beta-rule and splitting (186), into two cases.
% 43.29/12.60 |-Branch one:
% 43.29/12.60 | (189) ~ (all_733_0_74 = 0)
% 43.29/12.60 |
% 43.29/12.60 | Equations (187) can reduce 189 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (187) all_733_0_74 = 0
% 43.29/12.60 | (168) ~ (all_733_1_75 = 0)
% 43.29/12.60 |
% 43.29/12.60 | Equations (181) can reduce 168 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (194) 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
% 43.29/12.60 |
% 43.29/12.60 | Applying alpha-rule on (194) yields:
% 43.29/12.60 | (153) all_0_5_5 = 0
% 43.29/12.60 | (196) ~ (all_0_3_3 = init)
% 43.29/12.60 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.60 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.60 | (159) all_0_4_4 = 0
% 43.29/12.60 | (200) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 43.29/12.60 |
% 43.29/12.60 | From (144) and (173) follows:
% 43.29/12.60 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.60 | (161) ~ (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))
% 43.29/12.60 |
% 43.29/12.60 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.60 |-Branch one:
% 43.29/12.60 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.60 |
% 43.29/12.60 | From (144) and (170) follows:
% 43.29/12.60 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.60 |
% 43.29/12.60 | Using (151) and (171) yields:
% 43.29/12.60 | (172) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.60 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.60 |
% 43.29/12.60 | Instantiating (174) with all_875_0_156, all_875_1_157 yields:
% 43.29/12.60 | (208) a_select2(s_try7_init, all_0_6_6) = all_875_0_156 & leq(n0, all_0_6_6) = all_875_1_157 & ( ~ (all_875_1_157 = 0) | all_875_0_156 = init)
% 43.29/12.60 |
% 43.29/12.60 | Applying alpha-rule on (208) yields:
% 43.29/12.60 | (209) a_select2(s_try7_init, all_0_6_6) = all_875_0_156
% 43.29/12.60 | (210) leq(n0, all_0_6_6) = all_875_1_157
% 43.29/12.60 | (211) ~ (all_875_1_157 = 0) | all_875_0_156 = init
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (83) with s_try7_init, all_0_6_6, all_875_0_156, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_875_0_156, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 43.29/12.60 | (212) all_875_0_156 = all_0_3_3
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (46) with n0, all_0_6_6, all_875_1_157, 0 and discharging atoms leq(n0, all_0_6_6) = all_875_1_157, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.60 | (213) all_875_1_157 = 0
% 43.29/12.60 |
% 43.29/12.60 +-Applying beta-rule and splitting (211), into two cases.
% 43.29/12.60 |-Branch one:
% 43.29/12.60 | (214) ~ (all_875_1_157 = 0)
% 43.29/12.60 |
% 43.29/12.60 | Equations (213) can reduce 214 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (213) all_875_1_157 = 0
% 43.29/12.60 | (217) all_875_0_156 = init
% 43.29/12.60 |
% 43.29/12.60 | Combining equations (217,212) yields a new equation:
% 43.29/12.60 | (218) all_0_3_3 = init
% 43.29/12.60 |
% 43.29/12.60 | Equations (218) can reduce 196 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (220) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 43.29/12.60 |
% 43.29/12.60 | Applying alpha-rule on (220) yields:
% 43.29/12.60 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.60 | (153) all_0_5_5 = 0
% 43.29/12.60 | (196) ~ (all_0_3_3 = init)
% 43.29/12.60 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.60 | (159) all_0_4_4 = 0
% 43.29/12.60 | (226) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (133) 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:
% 43.29/12.60 | (227) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.60 |
% 43.29/12.60 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.60 | (161) ~ (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))
% 43.29/12.60 |
% 43.29/12.60 +-Applying beta-rule and splitting (227), into two cases.
% 43.29/12.60 |-Branch one:
% 43.29/12.60 | (218) all_0_3_3 = init
% 43.29/12.60 |
% 43.29/12.60 | Equations (218) can reduce 196 to:
% 43.29/12.60 | (163) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (196) ~ (all_0_3_3 = init)
% 43.29/12.60 | (232) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.60 |
% 43.29/12.60 | Instantiating (232) with all_729_0_174, all_729_1_175 yields:
% 43.29/12.60 | (233) leq(all_0_6_6, n2) = all_729_0_174 & leq(n0, all_0_6_6) = all_729_1_175 & ( ~ (all_729_0_174 = 0) | ~ (all_729_1_175 = 0))
% 43.29/12.60 |
% 43.29/12.60 | Applying alpha-rule on (233) yields:
% 43.29/12.60 | (234) leq(all_0_6_6, n2) = all_729_0_174
% 43.29/12.60 | (235) leq(n0, all_0_6_6) = all_729_1_175
% 43.29/12.60 | (236) ~ (all_729_0_174 = 0) | ~ (all_729_1_175 = 0)
% 43.29/12.60 |
% 43.29/12.60 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.60 |-Branch one:
% 43.29/12.60 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.60 |
% 43.29/12.60 | From (144) and (170) follows:
% 43.29/12.60 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.60 |
% 43.29/12.60 | Using (151) and (171) yields:
% 43.29/12.60 | (172) $false
% 43.29/12.60 |
% 43.29/12.60 |-The branch is then unsatisfiable
% 43.29/12.60 |-Branch two:
% 43.29/12.60 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.60 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.61 |
% 43.29/12.61 | Instantiating (174) with all_743_0_177, all_743_1_178 yields:
% 43.29/12.61 | (242) a_select2(s_try7_init, all_0_6_6) = all_743_0_177 & leq(n0, all_0_6_6) = all_743_1_178 & ( ~ (all_743_1_178 = 0) | all_743_0_177 = init)
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (242) yields:
% 43.29/12.61 | (243) a_select2(s_try7_init, all_0_6_6) = all_743_0_177
% 43.29/12.61 | (244) leq(n0, all_0_6_6) = all_743_1_178
% 43.29/12.61 | (245) ~ (all_743_1_178 = 0) | all_743_0_177 = init
% 43.29/12.61 |
% 43.29/12.61 | From (144) and (173) follows:
% 43.29/12.61 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (46) with all_0_6_6, n2, all_729_0_174, 0 and discharging atoms leq(all_0_6_6, n2) = all_729_0_174, leq(all_0_6_6, n2) = 0, yields:
% 43.29/12.61 | (247) all_729_0_174 = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (46) with n0, all_0_6_6, all_743_1_178, 0 and discharging atoms leq(n0, all_0_6_6) = all_743_1_178, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.61 | (248) all_743_1_178 = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (46) with n0, all_0_6_6, all_729_1_175, all_743_1_178 and discharging atoms leq(n0, all_0_6_6) = all_743_1_178, leq(n0, all_0_6_6) = all_729_1_175, yields:
% 43.29/12.61 | (249) all_743_1_178 = all_729_1_175
% 43.29/12.61 |
% 43.29/12.61 | Combining equations (248,249) yields a new equation:
% 43.29/12.61 | (250) all_729_1_175 = 0
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (236), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (251) ~ (all_729_0_174 = 0)
% 43.29/12.61 |
% 43.29/12.61 | Equations (247) can reduce 251 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (247) all_729_0_174 = 0
% 43.29/12.61 | (254) ~ (all_729_1_175 = 0)
% 43.29/12.61 |
% 43.29/12.61 | Equations (250) can reduce 254 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (256) 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
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (256) yields:
% 43.29/12.61 | (153) all_0_5_5 = 0
% 43.29/12.61 | (196) ~ (all_0_3_3 = init)
% 43.29/12.61 | (259) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 43.29/12.61 | (260) leq(all_0_6_6, n3) = 0
% 43.29/12.61 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.61 | (159) all_0_4_4 = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (112) 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:
% 43.29/12.61 | (263) 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)))
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (263), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (218) all_0_3_3 = init
% 43.29/12.61 |
% 43.29/12.61 | Equations (218) can reduce 196 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (196) ~ (all_0_3_3 = init)
% 43.29/12.61 | (267) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.61 |
% 43.29/12.61 | Instantiating (267) with all_728_0_214, all_728_1_215 yields:
% 43.29/12.61 | (268) leq(all_0_6_6, n3) = all_728_0_214 & leq(n0, all_0_6_6) = all_728_1_215 & ( ~ (all_728_0_214 = 0) | ~ (all_728_1_215 = 0))
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (268) yields:
% 43.29/12.61 | (269) leq(all_0_6_6, n3) = all_728_0_214
% 43.29/12.61 | (270) leq(n0, all_0_6_6) = all_728_1_215
% 43.29/12.61 | (271) ~ (all_728_0_214 = 0) | ~ (all_728_1_215 = 0)
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (46) with all_0_6_6, n3, all_728_0_214, 0 and discharging atoms leq(all_0_6_6, n3) = all_728_0_214, leq(all_0_6_6, n3) = 0, yields:
% 43.29/12.61 | (272) all_728_0_214 = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (46) with n0, all_0_6_6, all_728_1_215, 0 and discharging atoms leq(n0, all_0_6_6) = all_728_1_215, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.61 | (273) all_728_1_215 = 0
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (271), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (274) ~ (all_728_0_214 = 0)
% 43.29/12.61 |
% 43.29/12.61 | Equations (272) can reduce 274 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (272) all_728_0_214 = 0
% 43.29/12.61 | (277) ~ (all_728_1_215 = 0)
% 43.29/12.61 |
% 43.29/12.61 | Equations (273) can reduce 277 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (279) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (279) yields:
% 43.29/12.61 | (280) all_0_7_7 = 0
% 43.29/12.61 | (281) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.29/12.61 |
% 43.29/12.61 | Equations (280) can reduce 145 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (280) all_0_7_7 = 0
% 43.29/12.61 | (284) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (284) yields:
% 43.29/12.61 | (285) pvar1402_init = init
% 43.29/12.61 | (286) pvar1401_init = init
% 43.29/12.61 | (287) pvar1400_init = init
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (140), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (146) (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)
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (146), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (147) (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)
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (147), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (148) (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)
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (148), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (149) 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
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (149) yields:
% 43.29/12.61 | (150) all_0_1_1 = 0
% 43.29/12.61 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.61 | (152) leq(all_0_3_3, n3) = 0
% 43.29/12.61 | (153) all_0_5_5 = 0
% 43.29/12.61 | (154) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 43.29/12.61 | (155) leq(n0, all_0_3_3) = 0
% 43.29/12.61 | (156) all_0_2_2 = 0
% 43.29/12.61 | (157) ~ (all_0_0_0 = init)
% 43.29/12.61 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.61 | (159) all_0_4_4 = 0
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (119) 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:
% 43.29/12.61 | (160) 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))))
% 43.29/12.61 |
% 43.29/12.61 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.61 | (161) ~ (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))
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (160), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (162) all_0_0_0 = init
% 43.29/12.61 |
% 43.29/12.61 | Equations (162) can reduce 157 to:
% 43.29/12.61 | (163) $false
% 43.29/12.61 |
% 43.29/12.61 |-The branch is then unsatisfiable
% 43.29/12.61 |-Branch two:
% 43.29/12.61 | (157) ~ (all_0_0_0 = init)
% 43.29/12.61 | (165) ? [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))))
% 43.29/12.61 |
% 43.29/12.61 | Instantiating (165) with all_708_0_256, all_708_1_257 yields:
% 43.29/12.61 | (308) ( ~ (all_708_1_257 = 0) & leq(n0, all_0_6_6) = all_708_1_257) | (leq(all_0_3_3, n3) = all_708_0_256 & leq(n0, all_0_3_3) = all_708_1_257 & ( ~ (all_708_0_256 = 0) | ~ (all_708_1_257 = 0)))
% 43.29/12.61 |
% 43.29/12.61 +-Applying beta-rule and splitting (308), into two cases.
% 43.29/12.61 |-Branch one:
% 43.29/12.61 | (309) ~ (all_708_1_257 = 0) & leq(n0, all_0_6_6) = all_708_1_257
% 43.29/12.61 |
% 43.29/12.61 | Applying alpha-rule on (309) yields:
% 43.29/12.61 | (310) ~ (all_708_1_257 = 0)
% 43.29/12.61 | (311) leq(n0, all_0_6_6) = all_708_1_257
% 43.29/12.61 |
% 43.29/12.62 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.62 |
% 43.29/12.62 | From (144) and (170) follows:
% 43.29/12.62 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.62 |
% 43.29/12.62 | Using (151) and (171) yields:
% 43.29/12.62 | (172) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.62 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.62 |
% 43.29/12.62 | Instantiating (174) with all_804_0_274, all_804_1_275 yields:
% 43.29/12.62 | (317) a_select2(s_try7_init, all_0_6_6) = all_804_0_274 & leq(n0, all_0_6_6) = all_804_1_275 & ( ~ (all_804_1_275 = 0) | all_804_0_274 = init)
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (317) yields:
% 43.29/12.62 | (318) a_select2(s_try7_init, all_0_6_6) = all_804_0_274
% 43.29/12.62 | (319) leq(n0, all_0_6_6) = all_804_1_275
% 43.29/12.62 | (320) ~ (all_804_1_275 = 0) | all_804_0_274 = init
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_6_6, all_804_1_275, 0 and discharging atoms leq(n0, all_0_6_6) = all_804_1_275, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.62 | (321) all_804_1_275 = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_6_6, all_708_1_257, all_804_1_275 and discharging atoms leq(n0, all_0_6_6) = all_804_1_275, leq(n0, all_0_6_6) = all_708_1_257, yields:
% 43.29/12.62 | (322) all_804_1_275 = all_708_1_257
% 43.29/12.62 |
% 43.29/12.62 | Combining equations (322,321) yields a new equation:
% 43.29/12.62 | (323) all_708_1_257 = 0
% 43.29/12.62 |
% 43.29/12.62 | Simplifying 323 yields:
% 43.29/12.62 | (324) all_708_1_257 = 0
% 43.29/12.62 |
% 43.29/12.62 | Equations (324) can reduce 310 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (326) leq(all_0_3_3, n3) = all_708_0_256 & leq(n0, all_0_3_3) = all_708_1_257 & ( ~ (all_708_0_256 = 0) | ~ (all_708_1_257 = 0))
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (326) yields:
% 43.29/12.62 | (327) leq(all_0_3_3, n3) = all_708_0_256
% 43.29/12.62 | (328) leq(n0, all_0_3_3) = all_708_1_257
% 43.29/12.62 | (329) ~ (all_708_0_256 = 0) | ~ (all_708_1_257 = 0)
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with all_0_3_3, n3, all_708_0_256, 0 and discharging atoms leq(all_0_3_3, n3) = all_708_0_256, leq(all_0_3_3, n3) = 0, yields:
% 43.29/12.62 | (330) all_708_0_256 = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_3_3, all_708_1_257, 0 and discharging atoms leq(n0, all_0_3_3) = all_708_1_257, leq(n0, all_0_3_3) = 0, yields:
% 43.29/12.62 | (324) all_708_1_257 = 0
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (329), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (332) ~ (all_708_0_256 = 0)
% 43.29/12.62 |
% 43.29/12.62 | Equations (330) can reduce 332 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (330) all_708_0_256 = 0
% 43.29/12.62 | (310) ~ (all_708_1_257 = 0)
% 43.29/12.62 |
% 43.29/12.62 | Equations (324) can reduce 310 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (194) 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
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (194) yields:
% 43.29/12.62 | (153) all_0_5_5 = 0
% 43.29/12.62 | (196) ~ (all_0_3_3 = init)
% 43.29/12.62 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.62 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.62 | (159) all_0_4_4 = 0
% 43.29/12.62 | (200) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 43.29/12.62 |
% 43.29/12.62 | From (144) and (173) follows:
% 43.29/12.62 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.62 | (161) ~ (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))
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.62 |
% 43.29/12.62 | From (144) and (170) follows:
% 43.29/12.62 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.62 |
% 43.29/12.62 | Using (151) and (171) yields:
% 43.29/12.62 | (172) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.62 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.62 |
% 43.29/12.62 | Instantiating (174) with all_678_0_298, all_678_1_299 yields:
% 43.29/12.62 | (351) a_select2(s_try7_init, all_0_6_6) = all_678_0_298 & leq(n0, all_0_6_6) = all_678_1_299 & ( ~ (all_678_1_299 = 0) | all_678_0_298 = init)
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (351) yields:
% 43.29/12.62 | (352) a_select2(s_try7_init, all_0_6_6) = all_678_0_298
% 43.29/12.62 | (353) leq(n0, all_0_6_6) = all_678_1_299
% 43.29/12.62 | (354) ~ (all_678_1_299 = 0) | all_678_0_298 = init
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (83) with s_try7_init, all_0_6_6, all_678_0_298, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_678_0_298, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 43.29/12.62 | (355) all_678_0_298 = all_0_3_3
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_6_6, all_678_1_299, 0 and discharging atoms leq(n0, all_0_6_6) = all_678_1_299, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.62 | (356) all_678_1_299 = 0
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (354), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (357) ~ (all_678_1_299 = 0)
% 43.29/12.62 |
% 43.29/12.62 | Equations (356) can reduce 357 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (356) all_678_1_299 = 0
% 43.29/12.62 | (360) all_678_0_298 = init
% 43.29/12.62 |
% 43.29/12.62 | Combining equations (360,355) yields a new equation:
% 43.29/12.62 | (218) all_0_3_3 = init
% 43.29/12.62 |
% 43.29/12.62 | Equations (218) can reduce 196 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (220) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (220) yields:
% 43.29/12.62 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.62 | (153) all_0_5_5 = 0
% 43.29/12.62 | (196) ~ (all_0_3_3 = init)
% 43.29/12.62 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.62 | (159) all_0_4_4 = 0
% 43.29/12.62 | (226) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (133) 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:
% 43.29/12.62 | (227) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (110) with all_0_6_6 yields:
% 43.29/12.62 | (161) ~ (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))
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (227), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (218) all_0_3_3 = init
% 43.29/12.62 |
% 43.29/12.62 | Equations (218) can reduce 196 to:
% 43.29/12.62 | (163) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (196) ~ (all_0_3_3 = init)
% 43.29/12.62 | (232) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.62 |
% 43.29/12.62 | Instantiating (232) with all_679_0_330, all_679_1_331 yields:
% 43.29/12.62 | (376) leq(all_0_6_6, n2) = all_679_0_330 & leq(n0, all_0_6_6) = all_679_1_331 & ( ~ (all_679_0_330 = 0) | ~ (all_679_1_331 = 0))
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (376) yields:
% 43.29/12.62 | (377) leq(all_0_6_6, n2) = all_679_0_330
% 43.29/12.62 | (378) leq(n0, all_0_6_6) = all_679_1_331
% 43.29/12.62 | (379) ~ (all_679_0_330 = 0) | ~ (all_679_1_331 = 0)
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (161), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (170) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 43.29/12.62 |
% 43.29/12.62 | From (144) and (170) follows:
% 43.29/12.62 | (171) ~ (leq(all_0_6_6, n2) = 0)
% 43.29/12.62 |
% 43.29/12.62 | Using (151) and (171) yields:
% 43.29/12.62 | (172) $false
% 43.29/12.62 |
% 43.29/12.62 |-The branch is then unsatisfiable
% 43.29/12.62 |-Branch two:
% 43.29/12.62 | (173) leq(all_0_6_6, all_0_8_8) = 0
% 43.29/12.62 | (174) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 43.29/12.62 |
% 43.29/12.62 | Instantiating (174) with all_807_0_353, all_807_1_354 yields:
% 43.29/12.62 | (385) a_select2(s_try7_init, all_0_6_6) = all_807_0_353 & leq(n0, all_0_6_6) = all_807_1_354 & ( ~ (all_807_1_354 = 0) | all_807_0_353 = init)
% 43.29/12.62 |
% 43.29/12.62 | Applying alpha-rule on (385) yields:
% 43.29/12.62 | (386) a_select2(s_try7_init, all_0_6_6) = all_807_0_353
% 43.29/12.62 | (387) leq(n0, all_0_6_6) = all_807_1_354
% 43.29/12.62 | (388) ~ (all_807_1_354 = 0) | all_807_0_353 = init
% 43.29/12.62 |
% 43.29/12.62 | From (144) and (173) follows:
% 43.29/12.62 | (151) leq(all_0_6_6, n2) = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with all_0_6_6, n2, all_679_0_330, 0 and discharging atoms leq(all_0_6_6, n2) = all_679_0_330, leq(all_0_6_6, n2) = 0, yields:
% 43.29/12.62 | (390) all_679_0_330 = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_6_6, all_807_1_354, 0 and discharging atoms leq(n0, all_0_6_6) = all_807_1_354, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.62 | (391) all_807_1_354 = 0
% 43.29/12.62 |
% 43.29/12.62 | Instantiating formula (46) with n0, all_0_6_6, all_679_1_331, all_807_1_354 and discharging atoms leq(n0, all_0_6_6) = all_807_1_354, leq(n0, all_0_6_6) = all_679_1_331, yields:
% 43.29/12.62 | (392) all_807_1_354 = all_679_1_331
% 43.29/12.62 |
% 43.29/12.62 | Combining equations (391,392) yields a new equation:
% 43.29/12.62 | (393) all_679_1_331 = 0
% 43.29/12.62 |
% 43.29/12.62 +-Applying beta-rule and splitting (379), into two cases.
% 43.29/12.62 |-Branch one:
% 43.29/12.62 | (394) ~ (all_679_0_330 = 0)
% 43.29/12.62 |
% 43.29/12.63 | Equations (390) can reduce 394 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (390) all_679_0_330 = 0
% 43.29/12.63 | (397) ~ (all_679_1_331 = 0)
% 43.29/12.63 |
% 43.29/12.63 | Equations (393) can reduce 397 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (256) 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
% 43.29/12.63 |
% 43.29/12.63 | Applying alpha-rule on (256) yields:
% 43.29/12.63 | (153) all_0_5_5 = 0
% 43.29/12.63 | (196) ~ (all_0_3_3 = init)
% 43.29/12.63 | (259) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 43.29/12.63 | (260) leq(all_0_6_6, n3) = 0
% 43.29/12.63 | (158) leq(n0, all_0_6_6) = 0
% 43.29/12.63 | (159) all_0_4_4 = 0
% 43.29/12.63 |
% 43.29/12.63 | Instantiating formula (112) 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:
% 43.29/12.63 | (263) 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)))
% 43.29/12.63 |
% 43.29/12.63 +-Applying beta-rule and splitting (263), into two cases.
% 43.29/12.63 |-Branch one:
% 43.29/12.63 | (218) all_0_3_3 = init
% 43.29/12.63 |
% 43.29/12.63 | Equations (218) can reduce 196 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (196) ~ (all_0_3_3 = init)
% 43.29/12.63 | (267) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.29/12.63 |
% 43.29/12.63 | Instantiating (267) with all_683_0_364, all_683_1_365 yields:
% 43.29/12.63 | (411) leq(all_0_6_6, n3) = all_683_0_364 & leq(n0, all_0_6_6) = all_683_1_365 & ( ~ (all_683_0_364 = 0) | ~ (all_683_1_365 = 0))
% 43.29/12.63 |
% 43.29/12.63 | Applying alpha-rule on (411) yields:
% 43.29/12.63 | (412) leq(all_0_6_6, n3) = all_683_0_364
% 43.29/12.63 | (413) leq(n0, all_0_6_6) = all_683_1_365
% 43.29/12.63 | (414) ~ (all_683_0_364 = 0) | ~ (all_683_1_365 = 0)
% 43.29/12.63 |
% 43.29/12.63 | Instantiating formula (46) with all_0_6_6, n3, all_683_0_364, 0 and discharging atoms leq(all_0_6_6, n3) = all_683_0_364, leq(all_0_6_6, n3) = 0, yields:
% 43.29/12.63 | (415) all_683_0_364 = 0
% 43.29/12.63 |
% 43.29/12.63 | Instantiating formula (46) with n0, all_0_6_6, all_683_1_365, 0 and discharging atoms leq(n0, all_0_6_6) = all_683_1_365, leq(n0, all_0_6_6) = 0, yields:
% 43.29/12.63 | (416) all_683_1_365 = 0
% 43.29/12.63 |
% 43.29/12.63 +-Applying beta-rule and splitting (414), into two cases.
% 43.29/12.63 |-Branch one:
% 43.29/12.63 | (417) ~ (all_683_0_364 = 0)
% 43.29/12.63 |
% 43.29/12.63 | Equations (415) can reduce 417 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (415) all_683_0_364 = 0
% 43.29/12.63 | (420) ~ (all_683_1_365 = 0)
% 43.29/12.63 |
% 43.29/12.63 | Equations (416) can reduce 420 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (279) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 43.29/12.63 |
% 43.29/12.63 | Applying alpha-rule on (279) yields:
% 43.29/12.63 | (280) all_0_7_7 = 0
% 43.29/12.63 | (281) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.29/12.63 |
% 43.29/12.63 +-Applying beta-rule and splitting (281), into two cases.
% 43.29/12.63 |-Branch one:
% 43.29/12.63 | (425) ~ (pvar1402_init = init)
% 43.29/12.63 |
% 43.29/12.63 | Equations (285) can reduce 425 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (285) pvar1402_init = init
% 43.29/12.63 | (428) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.29/12.63 |
% 43.29/12.63 +-Applying beta-rule and splitting (428), into two cases.
% 43.29/12.63 |-Branch one:
% 43.29/12.63 | (429) ~ (pvar1401_init = init)
% 43.29/12.63 |
% 43.29/12.63 | Equations (286) can reduce 429 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 |-Branch two:
% 43.29/12.63 | (286) pvar1401_init = init
% 43.29/12.63 | (432) ~ (pvar1400_init = init)
% 43.29/12.63 |
% 43.29/12.63 | Equations (287) can reduce 432 to:
% 43.29/12.63 | (163) $false
% 43.29/12.63 |
% 43.29/12.63 |-The branch is then unsatisfiable
% 43.29/12.63 % SZS output end Proof for theBenchmark
% 43.29/12.63
% 43.29/12.63 12028ms
%------------------------------------------------------------------------------