TSTP Solution File: SWV042+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV042+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:49:49 EDT 2022
% Result : Theorem 23.71s 6.64s
% Output : Proof 33.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV042+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 12:58:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ____ _
% 0.19/0.60 ___ / __ \_____(_)___ ________ __________
% 0.19/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic
% 0.19/0.60 (ePrincess v.1.0)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2015
% 0.19/0.60 (c) Peter Backeman, 2014-2015
% 0.19/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.60 Bug reports to peter@backeman.se
% 0.19/0.60
% 0.19/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.23/1.08 Prover 0: Preprocessing ...
% 4.18/1.58 Prover 0: Warning: ignoring some quantifiers
% 4.18/1.61 Prover 0: Constructing countermodel ...
% 20.78/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.46/6.09 Prover 1: Preprocessing ...
% 22.40/6.28 Prover 1: Warning: ignoring some quantifiers
% 22.40/6.29 Prover 1: Constructing countermodel ...
% 23.71/6.63 Prover 1: proved (694ms)
% 23.71/6.64 Prover 0: stopped
% 23.71/6.64
% 23.71/6.64 No countermodel exists, formula is valid
% 23.71/6.64 % SZS status Theorem for theBenchmark
% 23.71/6.64
% 23.71/6.64 Generating proof ... Warning: ignoring some quantifiers
% 32.49/8.63 found it (size 130)
% 32.49/8.63
% 32.49/8.63 % SZS output start Proof for theBenchmark
% 32.49/8.63 Assumed formulas after preprocessing and simplification:
% 32.49/8.63 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (def = use) & minus(v0, n1) = v1 & plus(n1, n2) = v0 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & gt(loopcounter, n1) = v2 & 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_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_center7_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_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)))))
% 32.68/8.71 | 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:
% 32.68/8.71 | (1) ~ (def = use) & minus(all_0_9_9, n1) = all_0_8_8 & plus(n1, n2) = all_0_9_9 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & gt(loopcounter, n1) = all_0_7_7 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_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_center7_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_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))))
% 33.09/8.77 |
% 33.09/8.77 | Applying alpha-rule on (1) yields:
% 33.09/8.77 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 33.09/8.78 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 33.09/8.78 | (4) gt(n4, n1) = 0
% 33.09/8.78 | (5) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 33.09/8.78 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 33.09/8.78 | (7) gt(loopcounter, n1) = all_0_7_7
% 33.29/8.78 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 33.29/8.78 | (9) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 33.29/8.78 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 33.29/8.78 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 33.29/8.78 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 33.29/8.78 | (13) succ(n3) = n4
% 33.29/8.78 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 33.29/8.78 | (15) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 33.29/8.78 | (16) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 33.29/8.78 | (17) succ(tptp_minus_1) = n0
% 33.29/8.78 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 33.29/8.78 | (19) (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_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)))
% 33.29/8.78 | (20) ? [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))))
% 33.29/8.79 | (21) ! [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))
% 33.29/8.79 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 33.29/8.79 | (23) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 33.29/8.79 | (24) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 33.29/8.79 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 33.29/8.79 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 33.29/8.79 | (27) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 33.29/8.79 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 33.29/8.79 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 33.29/8.79 | (30) gt(n1, tptp_minus_1) = 0
% 33.29/8.79 | (31) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 33.29/8.79 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 33.29/8.79 | (33) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 33.29/8.79 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 33.29/8.79 | (35) ! [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))))
% 33.29/8.79 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 33.29/8.79 | (37) succ(n4) = n5
% 33.29/8.79 | (38) gt(n0, tptp_minus_1) = 0
% 33.29/8.79 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 33.29/8.79 | (40) gt(n3, n1) = 0
% 33.29/8.79 | (41) ? [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))))
% 33.29/8.79 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 33.29/8.79 | (43) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 33.29/8.79 | (44) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 33.29/8.80 | (45) ? [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))
% 33.29/8.80 | (46) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 33.29/8.80 | (47) gt(n2, n1) = 0
% 33.29/8.80 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 33.29/8.80 | (49) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 33.29/8.80 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 33.29/8.80 | (51) ! [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))
% 33.29/8.80 | (52) ! [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))))
% 33.29/8.80 | (53) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 33.29/8.80 | (54) gt(n5, n1) = 0
% 33.29/8.80 | (55) ! [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)))))
% 33.29/8.80 | (56) gt(n4, n2) = 0
% 33.29/8.80 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 33.29/8.80 | (58) gt(n4, n3) = 0
% 33.29/8.80 | (59) gt(n2, n0) = 0
% 33.29/8.80 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 33.29/8.80 | (61) minus(all_0_9_9, n1) = all_0_8_8
% 33.29/8.80 | (62) ? [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))
% 33.29/8.80 | (63) gt(n3, n0) = 0
% 33.29/8.80 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 33.29/8.80 | (65) ? [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))))
% 33.29/8.81 | (66) gt(n5, n0) = 0
% 33.29/8.81 | (67) ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_center7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 33.29/8.81 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 33.29/8.81 | (69) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 33.29/8.81 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 33.29/8.81 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 33.29/8.81 | (72) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 33.29/8.81 | (73) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 33.29/8.81 | (74) ! [v0] : ~ (gt(v0, v0) = 0)
% 33.29/8.81 | (75) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 33.29/8.81 | (76) gt(n5, n3) = 0
% 33.29/8.81 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 33.29/8.81 | (78) ? [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))))
% 33.29/8.81 | (79) ! [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)))))
% 33.29/8.81 | (80) gt(n5, tptp_minus_1) = 0
% 33.29/8.81 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 33.29/8.82 | (82) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 33.29/8.82 | (83) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 33.29/8.82 | (84) true
% 33.29/8.82 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 33.29/8.82 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 33.29/8.82 | (87) gt(n2, tptp_minus_1) = 0
% 33.29/8.82 | (88) ! [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)))))
% 33.29/8.82 | (89) gt(n4, tptp_minus_1) = 0
% 33.29/8.82 | (90) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 33.29/8.82 | (91) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 33.29/8.82 | (92) gt(n5, n4) = 0
% 33.29/8.82 | (93) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 33.29/8.82 | (94) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 33.29/8.82 | (95) ? [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))))
% 33.29/8.82 | (96) gt(n4, n0) = 0
% 33.29/8.82 | (97) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6))))
% 33.29/8.82 | (98) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 33.29/8.82 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 33.29/8.83 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 33.29/8.83 | (101) succ(n0) = n1
% 33.29/8.83 | (102) ~ (def = use)
% 33.29/8.83 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 33.29/8.83 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 33.29/8.83 | (105) gt(n1, n0) = 0
% 33.29/8.83 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 33.29/8.83 | (107) ? [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))))
% 33.29/8.83 | (108) ! [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))))
% 33.29/8.83 | (109) gt(n3, tptp_minus_1) = 0
% 33.29/8.83 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 33.29/8.83 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 33.29/8.83 | (112) succ(n1) = n2
% 33.29/8.83 | (113) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 33.29/8.83 | (114) succ(n2) = n3
% 33.29/8.83 | (115) gt(n3, n2) = 0
% 33.29/8.83 | (116) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 33.29/8.83 | (117) plus(n1, n2) = all_0_9_9
% 33.29/8.83 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 33.29/8.83 | (119) ? [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))))
% 33.29/8.83 | (120) gt(n5, n2) = 0
% 33.29/8.83 |
% 33.29/8.83 | Instantiating formula (75) with all_0_8_8, all_0_9_9 and discharging atoms minus(all_0_9_9, n1) = all_0_8_8, yields:
% 33.29/8.83 | (121) pred(all_0_9_9) = all_0_8_8
% 33.29/8.83 |
% 33.29/8.83 | Instantiating formula (24) with all_0_9_9, n2 and discharging atoms plus(n1, n2) = all_0_9_9, yields:
% 33.29/8.83 | (122) succ(n2) = all_0_9_9
% 33.29/8.83 |
% 33.29/8.83 | Instantiating formula (44) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 33.29/8.83 | (123) pred(n3) = n2
% 33.29/8.83 |
% 33.29/8.83 | Instantiating formula (26) with n2, all_0_9_9, n3 and discharging atoms succ(n2) = all_0_9_9, succ(n2) = n3, yields:
% 33.29/8.83 | (124) all_0_9_9 = n3
% 33.29/8.83 |
% 33.29/8.83 | Instantiating formula (12) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = n2, yields:
% 33.29/8.83 | (125) all_0_8_8 = n2 | ~ (pred(n3) = all_0_8_8)
% 33.29/8.83 |
% 33.29/8.83 | From (124) and (121) follows:
% 33.29/8.84 | (126) pred(n3) = all_0_8_8
% 33.29/8.84 |
% 33.29/8.84 +-Applying beta-rule and splitting (125), into two cases.
% 33.29/8.84 |-Branch one:
% 33.29/8.84 | (127) ~ (pred(n3) = all_0_8_8)
% 33.29/8.84 |
% 33.29/8.84 | Using (126) and (127) yields:
% 33.29/8.84 | (128) $false
% 33.29/8.84 |
% 33.29/8.84 |-The branch is then unsatisfiable
% 33.29/8.84 |-Branch two:
% 33.29/8.84 | (126) pred(n3) = all_0_8_8
% 33.29/8.84 | (130) all_0_8_8 = n2
% 33.29/8.84 |
% 33.29/8.84 +-Applying beta-rule and splitting (91), into two cases.
% 33.29/8.84 |-Branch one:
% 33.29/8.84 | (131) ~ (all_0_7_7 = 0)
% 33.29/8.84 |
% 33.29/8.84 +-Applying beta-rule and splitting (19), into two cases.
% 33.29/8.84 |-Branch one:
% 33.29/8.84 | (132) (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_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)
% 33.29/8.84 |
% 33.29/8.84 +-Applying beta-rule and splitting (132), into two cases.
% 33.29/8.84 |-Branch one:
% 33.29/8.84 | (133) (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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 33.58/8.84 |
% 33.58/8.84 +-Applying beta-rule and splitting (133), into two cases.
% 33.58/8.84 |-Branch one:
% 33.58/8.84 | (134) 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
% 33.58/8.84 |
% 33.58/8.84 | Applying alpha-rule on (134) yields:
% 33.58/8.84 | (135) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 33.58/8.84 | (136) leq(all_0_6_6, n2) = 0
% 33.58/8.84 | (137) all_0_5_5 = 0
% 33.58/8.84 | (138) all_0_4_4 = 0
% 33.58/8.84 | (139) ~ (all_0_0_0 = init)
% 33.58/8.84 | (140) all_0_2_2 = 0
% 33.58/8.84 | (141) leq(all_0_3_3, n3) = 0
% 33.58/8.84 | (142) leq(n0, all_0_3_3) = 0
% 33.58/8.84 | (143) all_0_1_1 = 0
% 33.58/8.84 | (144) leq(n0, all_0_6_6) = 0
% 33.58/8.84 |
% 33.58/8.84 | Instantiating formula (55) 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:
% 33.58/8.84 | (145) 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))))
% 33.58/8.84 |
% 33.58/8.84 +-Applying beta-rule and splitting (145), into two cases.
% 33.58/8.84 |-Branch one:
% 33.58/8.84 | (146) all_0_0_0 = init
% 33.58/8.84 |
% 33.58/8.84 | Equations (146) can reduce 139 to:
% 33.58/8.84 | (147) $false
% 33.58/8.84 |
% 33.58/8.84 |-The branch is then unsatisfiable
% 33.58/8.84 |-Branch two:
% 33.58/8.84 | (139) ~ (all_0_0_0 = init)
% 33.58/8.84 | (149) ? [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))))
% 33.58/8.84 |
% 33.58/8.84 | Instantiating (149) with all_536_0_66, all_536_1_67 yields:
% 33.58/8.84 | (150) ( ~ (all_536_1_67 = 0) & leq(n0, all_0_6_6) = all_536_1_67) | (leq(all_0_3_3, n3) = all_536_0_66 & leq(n0, all_0_3_3) = all_536_1_67 & ( ~ (all_536_0_66 = 0) | ~ (all_536_1_67 = 0)))
% 33.58/8.84 |
% 33.58/8.84 +-Applying beta-rule and splitting (150), into two cases.
% 33.58/8.84 |-Branch one:
% 33.58/8.84 | (151) ~ (all_536_1_67 = 0) & leq(n0, all_0_6_6) = all_536_1_67
% 33.58/8.84 |
% 33.58/8.84 | Applying alpha-rule on (151) yields:
% 33.58/8.84 | (152) ~ (all_536_1_67 = 0)
% 33.58/8.84 | (153) leq(n0, all_0_6_6) = all_536_1_67
% 33.58/8.84 |
% 33.58/8.84 | Instantiating formula (104) with n0, all_0_6_6, all_536_1_67, 0 and discharging atoms leq(n0, all_0_6_6) = all_536_1_67, leq(n0, all_0_6_6) = 0, yields:
% 33.58/8.84 | (154) all_536_1_67 = 0
% 33.58/8.84 |
% 33.58/8.84 | Equations (154) can reduce 152 to:
% 33.58/8.84 | (147) $false
% 33.58/8.84 |
% 33.58/8.84 |-The branch is then unsatisfiable
% 33.58/8.84 |-Branch two:
% 33.58/8.84 | (156) leq(all_0_3_3, n3) = all_536_0_66 & leq(n0, all_0_3_3) = all_536_1_67 & ( ~ (all_536_0_66 = 0) | ~ (all_536_1_67 = 0))
% 33.58/8.84 |
% 33.58/8.84 | Applying alpha-rule on (156) yields:
% 33.58/8.84 | (157) leq(all_0_3_3, n3) = all_536_0_66
% 33.58/8.84 | (158) leq(n0, all_0_3_3) = all_536_1_67
% 33.58/8.84 | (159) ~ (all_536_0_66 = 0) | ~ (all_536_1_67 = 0)
% 33.58/8.84 |
% 33.58/8.84 | Instantiating formula (104) with all_0_3_3, n3, all_536_0_66, 0 and discharging atoms leq(all_0_3_3, n3) = all_536_0_66, leq(all_0_3_3, n3) = 0, yields:
% 33.58/8.84 | (160) all_536_0_66 = 0
% 33.58/8.84 |
% 33.58/8.84 | Instantiating formula (104) with n0, all_0_3_3, all_536_1_67, 0 and discharging atoms leq(n0, all_0_3_3) = all_536_1_67, leq(n0, all_0_3_3) = 0, yields:
% 33.58/8.84 | (154) all_536_1_67 = 0
% 33.58/8.84 |
% 33.58/8.84 +-Applying beta-rule and splitting (159), into two cases.
% 33.58/8.84 |-Branch one:
% 33.58/8.84 | (162) ~ (all_536_0_66 = 0)
% 33.58/8.84 |
% 33.58/8.84 | Equations (160) can reduce 162 to:
% 33.58/8.84 | (147) $false
% 33.58/8.84 |
% 33.58/8.84 |-The branch is then unsatisfiable
% 33.58/8.84 |-Branch two:
% 33.58/8.84 | (160) all_536_0_66 = 0
% 33.58/8.84 | (152) ~ (all_536_1_67 = 0)
% 33.58/8.84 |
% 33.58/8.85 | Equations (154) can reduce 152 to:
% 33.58/8.85 | (147) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (167) 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
% 33.58/8.85 |
% 33.58/8.85 | Applying alpha-rule on (167) yields:
% 33.58/8.85 | (136) leq(all_0_6_6, n2) = 0
% 33.58/8.85 | (137) all_0_5_5 = 0
% 33.58/8.85 | (138) all_0_4_4 = 0
% 33.58/8.85 | (171) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 33.58/8.85 | (172) ~ (all_0_3_3 = init)
% 33.58/8.85 | (144) leq(n0, all_0_6_6) = 0
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (67) with all_0_6_6 yields:
% 33.58/8.85 | (174) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_center7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 33.58/8.85 |
% 33.58/8.85 +-Applying beta-rule and splitting (174), into two cases.
% 33.58/8.85 |-Branch one:
% 33.58/8.85 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 33.58/8.85 |
% 33.58/8.85 | From (130) and (175) follows:
% 33.58/8.85 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 33.58/8.85 |
% 33.58/8.85 | Using (136) and (176) yields:
% 33.58/8.85 | (128) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 33.58/8.85 | (179) ? [v0] : ? [v1] : (a_select2(s_center7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 33.58/8.85 |
% 33.58/8.85 | Instantiating (179) with all_497_0_114, all_497_1_115 yields:
% 33.58/8.85 | (180) a_select2(s_center7_init, all_0_6_6) = all_497_0_114 & leq(n0, all_0_6_6) = all_497_1_115 & ( ~ (all_497_1_115 = 0) | all_497_0_114 = init)
% 33.58/8.85 |
% 33.58/8.85 | Applying alpha-rule on (180) yields:
% 33.58/8.85 | (181) a_select2(s_center7_init, all_0_6_6) = all_497_0_114
% 33.58/8.85 | (182) leq(n0, all_0_6_6) = all_497_1_115
% 33.58/8.85 | (183) ~ (all_497_1_115 = 0) | all_497_0_114 = init
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (18) with s_center7_init, all_0_6_6, all_497_0_114, all_0_3_3 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_497_0_114, a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 33.58/8.85 | (184) all_497_0_114 = all_0_3_3
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (104) with n0, all_0_6_6, all_497_1_115, 0 and discharging atoms leq(n0, all_0_6_6) = all_497_1_115, leq(n0, all_0_6_6) = 0, yields:
% 33.58/8.85 | (185) all_497_1_115 = 0
% 33.58/8.85 |
% 33.58/8.85 +-Applying beta-rule and splitting (183), into two cases.
% 33.58/8.85 |-Branch one:
% 33.58/8.85 | (186) ~ (all_497_1_115 = 0)
% 33.58/8.85 |
% 33.58/8.85 | Equations (185) can reduce 186 to:
% 33.58/8.85 | (147) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (185) all_497_1_115 = 0
% 33.58/8.85 | (189) all_497_0_114 = init
% 33.58/8.85 |
% 33.58/8.85 | Combining equations (189,184) yields a new equation:
% 33.58/8.85 | (190) all_0_3_3 = init
% 33.58/8.85 |
% 33.58/8.85 | Equations (190) can reduce 172 to:
% 33.58/8.85 | (147) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (192) 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
% 33.58/8.85 |
% 33.58/8.85 | Applying alpha-rule on (192) yields:
% 33.58/8.85 | (193) leq(all_0_6_6, n3) = 0
% 33.58/8.85 | (137) all_0_5_5 = 0
% 33.58/8.85 | (138) all_0_4_4 = 0
% 33.58/8.85 | (196) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 33.58/8.85 | (172) ~ (all_0_3_3 = init)
% 33.58/8.85 | (144) leq(n0, all_0_6_6) = 0
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (52) 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:
% 33.58/8.85 | (199) 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)))
% 33.58/8.85 |
% 33.58/8.85 +-Applying beta-rule and splitting (199), into two cases.
% 33.58/8.85 |-Branch one:
% 33.58/8.85 | (190) all_0_3_3 = init
% 33.58/8.85 |
% 33.58/8.85 | Equations (190) can reduce 172 to:
% 33.58/8.85 | (147) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (172) ~ (all_0_3_3 = init)
% 33.58/8.85 | (203) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 33.58/8.85 |
% 33.58/8.85 | Instantiating (203) with all_497_0_161, all_497_1_162 yields:
% 33.58/8.85 | (204) leq(all_0_6_6, n3) = all_497_0_161 & leq(n0, all_0_6_6) = all_497_1_162 & ( ~ (all_497_0_161 = 0) | ~ (all_497_1_162 = 0))
% 33.58/8.85 |
% 33.58/8.85 | Applying alpha-rule on (204) yields:
% 33.58/8.85 | (205) leq(all_0_6_6, n3) = all_497_0_161
% 33.58/8.85 | (206) leq(n0, all_0_6_6) = all_497_1_162
% 33.58/8.85 | (207) ~ (all_497_0_161 = 0) | ~ (all_497_1_162 = 0)
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (104) with all_0_6_6, n3, all_497_0_161, 0 and discharging atoms leq(all_0_6_6, n3) = all_497_0_161, leq(all_0_6_6, n3) = 0, yields:
% 33.58/8.85 | (208) all_497_0_161 = 0
% 33.58/8.85 |
% 33.58/8.85 | Instantiating formula (104) with n0, all_0_6_6, all_497_1_162, 0 and discharging atoms leq(n0, all_0_6_6) = all_497_1_162, leq(n0, all_0_6_6) = 0, yields:
% 33.58/8.85 | (209) all_497_1_162 = 0
% 33.58/8.85 |
% 33.58/8.85 +-Applying beta-rule and splitting (207), into two cases.
% 33.58/8.85 |-Branch one:
% 33.58/8.85 | (210) ~ (all_497_0_161 = 0)
% 33.58/8.85 |
% 33.58/8.85 | Equations (208) can reduce 210 to:
% 33.58/8.85 | (147) $false
% 33.58/8.85 |
% 33.58/8.85 |-The branch is then unsatisfiable
% 33.58/8.85 |-Branch two:
% 33.58/8.85 | (208) all_497_0_161 = 0
% 33.58/8.85 | (213) ~ (all_497_1_162 = 0)
% 33.58/8.85 |
% 33.58/8.85 | Equations (209) can reduce 213 to:
% 33.58/8.86 | (147) $false
% 33.58/8.86 |
% 33.58/8.86 |-The branch is then unsatisfiable
% 33.58/8.86 |-Branch two:
% 33.58/8.86 | (215) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 33.58/8.86 |
% 33.58/8.86 | Applying alpha-rule on (215) yields:
% 33.58/8.86 | (216) all_0_7_7 = 0
% 33.58/8.86 | (217) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 33.58/8.86 |
% 33.58/8.86 | Equations (216) can reduce 131 to:
% 33.58/8.86 | (147) $false
% 33.58/8.86 |
% 33.58/8.86 |-The branch is then unsatisfiable
% 33.58/8.86 |-Branch two:
% 33.58/8.86 | (216) all_0_7_7 = 0
% 33.58/8.86 | (220) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 33.58/8.86 |
% 33.58/8.86 | Applying alpha-rule on (220) yields:
% 33.58/8.86 | (221) pvar1402_init = init
% 33.66/8.86 | (222) pvar1401_init = init
% 33.66/8.86 | (223) pvar1400_init = init
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (19), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (132) (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_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)
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (132), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (133) (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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (133), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (134) 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
% 33.66/8.86 |
% 33.66/8.86 | Applying alpha-rule on (134) yields:
% 33.66/8.86 | (135) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 33.66/8.86 | (136) leq(all_0_6_6, n2) = 0
% 33.66/8.86 | (137) all_0_5_5 = 0
% 33.66/8.86 | (138) all_0_4_4 = 0
% 33.66/8.86 | (139) ~ (all_0_0_0 = init)
% 33.66/8.86 | (140) all_0_2_2 = 0
% 33.66/8.86 | (141) leq(all_0_3_3, n3) = 0
% 33.66/8.86 | (142) leq(n0, all_0_3_3) = 0
% 33.66/8.86 | (143) all_0_1_1 = 0
% 33.66/8.86 | (144) leq(n0, all_0_6_6) = 0
% 33.66/8.86 |
% 33.66/8.86 | Instantiating formula (55) 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:
% 33.66/8.86 | (145) 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))))
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (145), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (146) all_0_0_0 = init
% 33.66/8.86 |
% 33.66/8.86 | Equations (146) can reduce 139 to:
% 33.66/8.86 | (147) $false
% 33.66/8.86 |
% 33.66/8.86 |-The branch is then unsatisfiable
% 33.66/8.86 |-Branch two:
% 33.66/8.86 | (139) ~ (all_0_0_0 = init)
% 33.66/8.86 | (149) ? [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))))
% 33.66/8.86 |
% 33.66/8.86 | Instantiating (149) with all_551_0_240, all_551_1_241 yields:
% 33.66/8.86 | (242) ( ~ (all_551_1_241 = 0) & leq(n0, all_0_6_6) = all_551_1_241) | (leq(all_0_3_3, n3) = all_551_0_240 & leq(n0, all_0_3_3) = all_551_1_241 & ( ~ (all_551_0_240 = 0) | ~ (all_551_1_241 = 0)))
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (242), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (243) ~ (all_551_1_241 = 0) & leq(n0, all_0_6_6) = all_551_1_241
% 33.66/8.86 |
% 33.66/8.86 | Applying alpha-rule on (243) yields:
% 33.66/8.86 | (244) ~ (all_551_1_241 = 0)
% 33.66/8.86 | (245) leq(n0, all_0_6_6) = all_551_1_241
% 33.66/8.86 |
% 33.66/8.86 | Instantiating formula (104) with n0, all_0_6_6, all_551_1_241, 0 and discharging atoms leq(n0, all_0_6_6) = all_551_1_241, leq(n0, all_0_6_6) = 0, yields:
% 33.66/8.86 | (246) all_551_1_241 = 0
% 33.66/8.86 |
% 33.66/8.86 | Equations (246) can reduce 244 to:
% 33.66/8.86 | (147) $false
% 33.66/8.86 |
% 33.66/8.86 |-The branch is then unsatisfiable
% 33.66/8.86 |-Branch two:
% 33.66/8.86 | (248) leq(all_0_3_3, n3) = all_551_0_240 & leq(n0, all_0_3_3) = all_551_1_241 & ( ~ (all_551_0_240 = 0) | ~ (all_551_1_241 = 0))
% 33.66/8.86 |
% 33.66/8.86 | Applying alpha-rule on (248) yields:
% 33.66/8.86 | (249) leq(all_0_3_3, n3) = all_551_0_240
% 33.66/8.86 | (250) leq(n0, all_0_3_3) = all_551_1_241
% 33.66/8.86 | (251) ~ (all_551_0_240 = 0) | ~ (all_551_1_241 = 0)
% 33.66/8.86 |
% 33.66/8.86 | Instantiating formula (104) with all_0_3_3, n3, all_551_0_240, 0 and discharging atoms leq(all_0_3_3, n3) = all_551_0_240, leq(all_0_3_3, n3) = 0, yields:
% 33.66/8.86 | (252) all_551_0_240 = 0
% 33.66/8.86 |
% 33.66/8.86 | Instantiating formula (104) with n0, all_0_3_3, all_551_1_241, 0 and discharging atoms leq(n0, all_0_3_3) = all_551_1_241, leq(n0, all_0_3_3) = 0, yields:
% 33.66/8.86 | (246) all_551_1_241 = 0
% 33.66/8.86 |
% 33.66/8.86 +-Applying beta-rule and splitting (251), into two cases.
% 33.66/8.86 |-Branch one:
% 33.66/8.86 | (254) ~ (all_551_0_240 = 0)
% 33.66/8.86 |
% 33.66/8.86 | Equations (252) can reduce 254 to:
% 33.66/8.86 | (147) $false
% 33.66/8.86 |
% 33.66/8.86 |-The branch is then unsatisfiable
% 33.66/8.86 |-Branch two:
% 33.66/8.86 | (252) all_551_0_240 = 0
% 33.66/8.86 | (244) ~ (all_551_1_241 = 0)
% 33.66/8.86 |
% 33.66/8.87 | Equations (246) can reduce 244 to:
% 33.66/8.87 | (147) $false
% 33.66/8.87 |
% 33.66/8.87 |-The branch is then unsatisfiable
% 33.66/8.87 |-Branch two:
% 33.66/8.87 | (167) 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
% 33.66/8.87 |
% 33.66/8.87 | Applying alpha-rule on (167) yields:
% 33.66/8.87 | (136) leq(all_0_6_6, n2) = 0
% 33.66/8.87 | (137) all_0_5_5 = 0
% 33.66/8.87 | (138) all_0_4_4 = 0
% 33.66/8.87 | (171) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 33.66/8.87 | (172) ~ (all_0_3_3 = init)
% 33.66/8.87 | (144) leq(n0, all_0_6_6) = 0
% 33.66/8.87 |
% 33.66/8.87 | Instantiating formula (67) with all_0_6_6 yields:
% 33.66/8.87 | (174) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_center7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 33.66/8.87 |
% 33.66/8.87 +-Applying beta-rule and splitting (174), into two cases.
% 33.66/8.87 |-Branch one:
% 33.66/8.87 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 33.66/8.87 |
% 33.66/8.87 | From (130) and (175) follows:
% 33.66/8.87 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 33.66/8.87 |
% 33.66/8.87 | Using (136) and (176) yields:
% 33.66/8.87 | (128) $false
% 33.66/8.87 |
% 33.66/8.87 |-The branch is then unsatisfiable
% 33.66/8.87 |-Branch two:
% 33.66/8.87 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 33.66/8.87 | (179) ? [v0] : ? [v1] : (a_select2(s_center7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 33.66/8.87 |
% 33.66/8.87 | Instantiating (179) with all_469_0_252, all_469_1_253 yields:
% 33.66/8.87 | (272) a_select2(s_center7_init, all_0_6_6) = all_469_0_252 & leq(n0, all_0_6_6) = all_469_1_253 & ( ~ (all_469_1_253 = 0) | all_469_0_252 = init)
% 33.66/8.87 |
% 33.66/8.87 | Applying alpha-rule on (272) yields:
% 33.66/8.87 | (273) a_select2(s_center7_init, all_0_6_6) = all_469_0_252
% 33.66/8.87 | (274) leq(n0, all_0_6_6) = all_469_1_253
% 33.66/8.87 | (275) ~ (all_469_1_253 = 0) | all_469_0_252 = init
% 33.66/8.87 |
% 33.66/8.87 | Instantiating formula (18) with s_center7_init, all_0_6_6, all_469_0_252, all_0_3_3 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_469_0_252, a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 33.66/8.87 | (276) all_469_0_252 = all_0_3_3
% 33.66/8.87 |
% 33.66/8.87 | Instantiating formula (104) with n0, all_0_6_6, all_469_1_253, 0 and discharging atoms leq(n0, all_0_6_6) = all_469_1_253, leq(n0, all_0_6_6) = 0, yields:
% 33.66/8.87 | (277) all_469_1_253 = 0
% 33.66/8.87 |
% 33.66/8.87 +-Applying beta-rule and splitting (275), into two cases.
% 33.66/8.87 |-Branch one:
% 33.66/8.87 | (278) ~ (all_469_1_253 = 0)
% 33.66/8.87 |
% 33.66/8.87 | Equations (277) can reduce 278 to:
% 33.66/8.87 | (147) $false
% 33.66/8.87 |
% 33.66/8.87 |-The branch is then unsatisfiable
% 33.66/8.87 |-Branch two:
% 33.66/8.87 | (277) all_469_1_253 = 0
% 33.66/8.87 | (281) all_469_0_252 = init
% 33.66/8.87 |
% 33.66/8.87 | Combining equations (276,281) yields a new equation:
% 33.66/8.87 | (282) all_0_3_3 = init
% 33.66/8.87 |
% 33.66/8.87 | Simplifying 282 yields:
% 33.66/8.87 | (190) all_0_3_3 = init
% 33.66/8.87 |
% 33.66/8.87 | Equations (190) can reduce 172 to:
% 33.66/8.87 | (147) $false
% 33.66/8.87 |
% 33.66/8.87 |-The branch is then unsatisfiable
% 33.66/8.87 |-Branch two:
% 33.66/8.87 | (192) 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
% 33.66/8.87 |
% 33.66/8.87 | Applying alpha-rule on (192) yields:
% 33.66/8.87 | (193) leq(all_0_6_6, n3) = 0
% 33.66/8.87 | (137) all_0_5_5 = 0
% 33.66/8.87 | (138) all_0_4_4 = 0
% 33.66/8.87 | (196) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 33.66/8.87 | (172) ~ (all_0_3_3 = init)
% 33.66/8.87 | (144) leq(n0, all_0_6_6) = 0
% 33.66/8.87 |
% 33.66/8.87 | Instantiating formula (52) 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:
% 33.66/8.87 | (199) 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)))
% 33.66/8.88 |
% 33.66/8.88 +-Applying beta-rule and splitting (199), into two cases.
% 33.66/8.88 |-Branch one:
% 33.66/8.88 | (190) all_0_3_3 = init
% 33.66/8.88 |
% 33.66/8.88 | Equations (190) can reduce 172 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 |-Branch two:
% 33.66/8.88 | (172) ~ (all_0_3_3 = init)
% 33.66/8.88 | (203) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 33.66/8.88 |
% 33.66/8.88 | Instantiating (203) with all_469_0_278, all_469_1_279 yields:
% 33.66/8.88 | (297) leq(all_0_6_6, n3) = all_469_0_278 & leq(n0, all_0_6_6) = all_469_1_279 & ( ~ (all_469_0_278 = 0) | ~ (all_469_1_279 = 0))
% 33.66/8.88 |
% 33.66/8.88 | Applying alpha-rule on (297) yields:
% 33.66/8.88 | (298) leq(all_0_6_6, n3) = all_469_0_278
% 33.66/8.88 | (299) leq(n0, all_0_6_6) = all_469_1_279
% 33.66/8.88 | (300) ~ (all_469_0_278 = 0) | ~ (all_469_1_279 = 0)
% 33.66/8.88 |
% 33.66/8.88 | Instantiating formula (104) with all_0_6_6, n3, all_469_0_278, 0 and discharging atoms leq(all_0_6_6, n3) = all_469_0_278, leq(all_0_6_6, n3) = 0, yields:
% 33.66/8.88 | (301) all_469_0_278 = 0
% 33.66/8.88 |
% 33.66/8.88 | Instantiating formula (104) with n0, all_0_6_6, all_469_1_279, 0 and discharging atoms leq(n0, all_0_6_6) = all_469_1_279, leq(n0, all_0_6_6) = 0, yields:
% 33.66/8.88 | (302) all_469_1_279 = 0
% 33.66/8.88 |
% 33.66/8.88 +-Applying beta-rule and splitting (300), into two cases.
% 33.66/8.88 |-Branch one:
% 33.66/8.88 | (303) ~ (all_469_0_278 = 0)
% 33.66/8.88 |
% 33.66/8.88 | Equations (301) can reduce 303 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 |-Branch two:
% 33.66/8.88 | (301) all_469_0_278 = 0
% 33.66/8.88 | (306) ~ (all_469_1_279 = 0)
% 33.66/8.88 |
% 33.66/8.88 | Equations (302) can reduce 306 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 |-Branch two:
% 33.66/8.88 | (215) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 33.66/8.88 |
% 33.66/8.88 | Applying alpha-rule on (215) yields:
% 33.66/8.88 | (216) all_0_7_7 = 0
% 33.66/8.88 | (217) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 33.66/8.88 |
% 33.66/8.88 +-Applying beta-rule and splitting (217), into two cases.
% 33.66/8.88 |-Branch one:
% 33.66/8.88 | (311) ~ (pvar1402_init = init)
% 33.66/8.88 |
% 33.66/8.88 | Equations (221) can reduce 311 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 |-Branch two:
% 33.66/8.88 | (221) pvar1402_init = init
% 33.66/8.88 | (314) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 33.66/8.88 |
% 33.66/8.88 +-Applying beta-rule and splitting (314), into two cases.
% 33.66/8.88 |-Branch one:
% 33.66/8.88 | (315) ~ (pvar1401_init = init)
% 33.66/8.88 |
% 33.66/8.88 | Equations (222) can reduce 315 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 |-Branch two:
% 33.66/8.88 | (222) pvar1401_init = init
% 33.66/8.88 | (318) ~ (pvar1400_init = init)
% 33.66/8.88 |
% 33.66/8.88 | Equations (223) can reduce 318 to:
% 33.66/8.88 | (147) $false
% 33.66/8.88 |
% 33.66/8.88 |-The branch is then unsatisfiable
% 33.66/8.88 % SZS output end Proof for theBenchmark
% 33.66/8.88
% 33.66/8.88 8273ms
%------------------------------------------------------------------------------