TSTP Solution File: SWV198+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 17:50:21 EDT 2022
% Result : Theorem 21.91s 6.39s
% Output : Proof 27.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n029.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 : Tue Jun 14 15:43:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.53/0.57 ____ _
% 0.53/0.57 ___ / __ \_____(_)___ ________ __________
% 0.53/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.57
% 0.53/0.57 A Theorem Prover for First-Order Logic
% 0.53/0.58 (ePrincess v.1.0)
% 0.53/0.58
% 0.53/0.58 (c) Philipp Rümmer, 2009-2015
% 0.53/0.58 (c) Peter Backeman, 2014-2015
% 0.53/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.58 Bug reports to peter@backeman.se
% 0.53/0.58
% 0.53/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.58
% 0.53/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.60/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.13/1.04 Prover 0: Preprocessing ...
% 4.03/1.53 Prover 0: Warning: ignoring some quantifiers
% 4.18/1.57 Prover 0: Constructing countermodel ...
% 19.86/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.51/6.08 Prover 1: Preprocessing ...
% 21.19/6.23 Prover 1: Warning: ignoring some quantifiers
% 21.19/6.24 Prover 1: Constructing countermodel ...
% 21.91/6.39 Prover 1: proved (474ms)
% 21.91/6.39 Prover 0: stopped
% 21.91/6.39
% 21.91/6.39 No countermodel exists, formula is valid
% 21.91/6.39 % SZS status Theorem for theBenchmark
% 21.91/6.39
% 21.91/6.39 Generating proof ... Warning: ignoring some quantifiers
% 26.33/7.39 found it (size 131)
% 26.33/7.39
% 26.33/7.39 % SZS output start Proof for theBenchmark
% 26.33/7.39 Assumed formulas after preprocessing and simplification:
% 26.33/7.39 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = use) & ~ (def = use) & a_select3(u_defuse, v1, v2) = v3 & a_select3(u_defuse, n2, n0) = use & a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, n0, n0) = use & a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, n4) = use & a_select2(xinit_noise_defuse, n3) = use & a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, n1) = use & a_select2(xinit_noise_defuse, n0) = use & a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, n4) = use & a_select2(xinit_mean_defuse, n3) = use & a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, n1) = use & a_select2(xinit_mean_defuse, n0) = use & a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use & a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = use & a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) = use & a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, n1) = use & a_select2(sigma_defuse, n0) = use & a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & a_select2(rho_defuse, n0) = use & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & pred(pv5) = v0 & leq(v2, pv5) = 0 & leq(v1, n2) = 0 & leq(pv5, n998) = 0 & leq(pv5, n0) = 0 & leq(n0, v2) = 0 & leq(n0, v1) = 0 & leq(n0, pv5) = 0 & gt(n998, n5) = 0 & gt(n998, n4) = 0 & gt(n998, n3) = 0 & gt(n998, n2) = 0 & gt(n998, n1) = 0 & gt(n998, tptp_minus_1) = 0 & gt(n998, 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 & ? [v4] : ? [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (tptp_mmul(v18, v19) = v20) | ~ (tptp_mmul(v11, v15) = v16) | ~ (tptp_mmul(v10, v16) = v17) | ~ (tptp_mmul(v9, v12) = v13) | ~ (tptp_mmul(v8, v13) = v14) | ~ (tptp_mmul(v7, v20) = v21) | ~ (tptp_madd(v14, v17) = v18) | ~ (tptp_madd(v6, v21) = v22) | ~ (trans(v10) = v15) | ~ (trans(v8) = v12) | ~ (trans(v7) = v19) | ~ (a_select3(v22, v23, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v11, v27, v26) = v33 & a_select3(v11, v26, v27) = v32 & leq(v27, v4) = 0 & leq(v26, v4) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v9, v27, v26) = v33 & a_select3(v9, v26, v27) = v32 & leq(v27, v5) = 0 & leq(v26, v5) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v6, v27, v26) = v33 & a_select3(v6, v26, v27) = v32 & leq(v27, v4) = 0 & leq(v26, v4) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (a_select3(v22, v24, v23) = v30 & leq(v24, v4) = v29 & leq(v23, v4) = v27 & leq(n0, v24) = v28 & leq(n0, v23) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v30 = v25)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v10 | ~ (tptp_const_array2(v11, v12, v10) = v13) | ~ (a_select3(v13, v4, v7) = v14) | ~ (dim(v8, v9) = v12) | ~ (dim(v5, v6) = v11) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (leq(v8, v7) = v17 & leq(v7, v9) = v18 & leq(v5, v4) = v15 & leq(v4, v6) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ? [v4] : ? [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (tptp_mmul(v7, v8) = v9) | ~ (tptp_mmul(v6, v9) = v10) | ~ (trans(v6) = v8) | ~ (a_select3(v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v21 = v20) & a_select3(v7, v15, v14) = v21 & a_select3(v7, v14, v15) = v20 & leq(v15, v5) = 0 & leq(v14, v5) = 0 & leq(n0, v15) = 0 & leq(n0, v14) = 0) | (a_select3(v10, v12, v11) = v18 & leq(v12, v4) = v17 & leq(v11, v4) = v15 & leq(n0, v12) = v16 & leq(n0, v11) = v14 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | v18 = v13)))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (tptp_mmul(v6, v7) = v8) | ~ (tptp_mmul(v5, v8) = v9) | ~ (trans(v5) = v7) | ~ (a_select3(v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v18 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & ~ (v20 = v19) & a_select3(v6, v14, v13) = v20 & a_select3(v6, v13, v14) = v19 & leq(v14, v4) = 0 & leq(v13, v4) = 0 & leq(n0, v14) = 0 & leq(n0, v13) = 0) | (a_select3(v9, v11, v10) = v17 & leq(v11, v4) = v16 & leq(v10, v4) = v14 & leq(n0, v11) = v15 & leq(n0, v10) = v13 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | v17 = v12)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v9 | ~ (tptp_update3(v8, v6, v7, v9) = v10) | ~ (a_select3(v10, v4, v5) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v18 = v9) & a_select3(v8, v12, v13) = v18 & leq(v13, v7) = 0 & leq(v12, v6) = 0 & leq(n0, v13) = 0 & leq(n0, v12) = 0) | (leq(v5, v7) = v15 & leq(v4, v6) = v13 & leq(n0, v5) = v14 & leq(n0, v4) = v12 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0))))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v4 | v7 = v5 | ~ (tptp_update3(v8, v5, v6, v9) = v10) | ~ (a_select3(v10, v7, v6) = v11) | ? [v12] : ( ~ (v12 = v4) & a_select3(v8, v7, v6) = v12)) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (tptp_update3(v5, v8, v8, v9) = v10) | ~ (a_select3(v10, v6, v7) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v19 = v18) & a_select3(v5, v13, v12) = v19 & a_select3(v5, v12, v13) = v18 & leq(v13, v4) = 0 & leq(v12, v4) = 0 & leq(n0, v13) = 0 & leq(n0, v12) = 0) | (a_select3(v10, v7, v6) = v18 & leq(v8, v4) = v17 & leq(v7, v4) = v15 & leq(v6, v4) = v13 & leq(n0, v8) = v16 & leq(n0, v7) = v14 & leq(n0, v6) = v12 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | v18 = v11)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v7 | ~ (dim(v5, v6) = v8) | ~ (tptp_const_array1(v8, v7) = v9) | ~ (a_select2(v9, v4) = v10) | ? [v11] : ? [v12] : (leq(v5, v4) = v11 & leq(v4, v6) = v12 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v4 | v6 = v5 | ~ (tptp_update2(v7, v5, v8) = v9) | ~ (a_select2(v9, v6) = v10) | ? [v11] : ( ~ (v11 = v4) & a_select2(v7, v6) = v11)) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (tptp_msub(v5, v6) = v7) | ~ (a_select3(v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & ~ (v18 = v17) & a_select3(v6, v12, v11) = v18 & a_select3(v6, v11, v12) = v17 & leq(v12, v4) = 0 & leq(v11, v4) = 0 & leq(n0, v12) = 0 & leq(n0, v11) = 0) | (v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & ~ (v18 = v17) & a_select3(v5, v12, v11) = v18 & a_select3(v5, v11, v12) = v17 & leq(v12, v4) = 0 & leq(v11, v4) = 0 & leq(n0, v12) = 0 & leq(n0, v11) = 0) | (a_select3(v7, v9, v8) = v15 & leq(v9, v4) = v14 & leq(v8, v4) = v12 & leq(n0, v9) = v13 & leq(n0, v8) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v15 = v10)))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (tptp_madd(v5, v6) = v7) | ~ (a_select3(v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & ~ (v18 = v17) & a_select3(v6, v12, v11) = v18 & a_select3(v6, v11, v12) = v17 & leq(v12, v4) = 0 & leq(v11, v4) = 0 & leq(n0, v12) = 0 & leq(n0, v11) = 0) | (v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & ~ (v18 = v17) & a_select3(v5, v12, v11) = v18 & a_select3(v5, v11, v12) = v17 & leq(v12, v4) = 0 & leq(v11, v4) = 0 & leq(n0, v12) = 0 & leq(n0, v11) = 0) | (a_select3(v7, v9, v8) = v15 & leq(v9, v4) = v14 & leq(v8, v4) = v12 & leq(n0, v9) = v13 & leq(n0, v8) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v15 = v10)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (tptp_update2(v6, v5, v7) = v8) | ~ (a_select2(v8, v4) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v12 = 0 & v11 = 0 & ~ (v13 = v7) & a_select2(v6, v10) = v13 & leq(v10, v5) = 0 & leq(n0, v10) = 0) | (leq(v4, v5) = v11 & leq(n0, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (tptp_update3(v4, v5, v6, v7) = v8) | ~ (a_select3(v8, v5, v6) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v5 = v4 | ~ (tptp_update3(v9, v8, v7, v6) = v5) | ~ (tptp_update3(v9, v8, v7, v6) = v4)) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (inv(v5) = v6) | ~ (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(v5, v11, v10) = v17 & a_select3(v5, v10, v11) = v16 & leq(v11, v4) = 0 & leq(v10, v4) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v4) = v13 & leq(v7, v4) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (trans(v5) = v6) | ~ (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(v5, v11, v10) = v17 & a_select3(v5, v10, v11) = v16 & leq(v11, v4) = 0 & leq(v10, v4) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v4) = v13 & leq(v7, v4) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (tptp_update2(v4, v5, v6) = v7) | ~ (a_select2(v7, v5) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (succ(v5) = v7) | ~ (succ(v4) = v6) | ~ (leq(v6, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & leq(v4, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (tptp_update2(v8, v7, v6) = v5) | ~ (tptp_update2(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (sum(v8, v7, v6) = v5) | ~ (sum(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (tptp_const_array2(v8, v7, v6) = v5) | ~ (tptp_const_array2(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (a_select3(v8, v7, v6) = v5) | ~ (a_select3(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (uniform_int_rnd(v5, v4) = v6) | ~ (leq(v6, v4) = v7) | ? [v8] : ( ~ (v8 = 0) & leq(n0, v4) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (succ(v5) = v6) | ~ (leq(v4, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & leq(v4, v5) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (succ(v5) = v6) | ~ (gt(v6, v4) = v7) | ? [v8] : ( ~ (v8 = 0) & leq(v4, v5) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (pred(v5) = v6) | ~ (leq(v4, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & gt(v5, v4) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (leq(v4, v6) = v7) | ~ (leq(v4, v5) = 0) | ? [v8] : ( ~ (v8 = 0) & leq(v5, v6) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (gt(v4, v6) = v7) | ~ (gt(v4, v5) = 0) | ? [v8] : ( ~ (v8 = 0) & gt(v5, v6) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (minus(v7, v6) = v5) | ~ (minus(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (plus(v7, v6) = v5) | ~ (plus(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (tptp_mmul(v7, v6) = v5) | ~ (tptp_mmul(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (tptp_msub(v7, v6) = v5) | ~ (tptp_msub(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (tptp_madd(v7, v6) = v5) | ~ (tptp_madd(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (dim(v7, v6) = v5) | ~ (dim(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (tptp_const_array1(v7, v6) = v5) | ~ (tptp_const_array1(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (a_select2(v7, v6) = v5) | ~ (a_select2(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (uniform_int_rnd(v7, v6) = v5) | ~ (uniform_int_rnd(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (geq(v7, v6) = v5) | ~ (geq(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (lt(v7, v6) = v5) | ~ (lt(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (leq(v7, v6) = v5) | ~ (leq(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (gt(v7, v6) = v5) | ~ (gt(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (succ(v5) = v7) | ~ (succ(v4) = v6) | ~ (leq(v6, v7) = 0) | leq(v4, v5) = 0) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = v4 | ~ (gt(v5, v4) = v6) | ? [v7] : ( ~ (v7 = 0) & leq(v4, v5) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = v4 | ~ (gt(v4, v5) = v6) | gt(v5, v4) = 0) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (succ(v4) = v5) | ~ (gt(v5, v4) = v6)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (geq(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & leq(v5, v4) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (lt(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & gt(v5, v4) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (inv(v6) = v5) | ~ (inv(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (trans(v6) = v5) | ~ (trans(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (succ(v6) = v5) | ~ (succ(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (pred(v6) = v5) | ~ (pred(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (minus(v4, v5) = v6) | ~ (leq(v6, v4) = 0) | leq(n0, v5) = 0) & ! [v4] : ! [v5] : ! [v6] : ( ~ (uniform_int_rnd(v5, v4) = v6) | ? [v7] : ? [v8] : (leq(n0, v6) = v8 & leq(n0, v4) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (succ(v5) = v6) | ~ (gt(v6, v4) = 0) | leq(v4, v5) = 0) & ! [v4] : ! [v5] : ! [v6] : ( ~ (succ(v4) = v6) | ~ (leq(v6, v5) = 0) | gt(v5, v4) = 0) & ! [v4] : ! [v5] : ! [v6] : ( ~ (pred(v5) = v6) | ~ (leq(v4, v6) = 0) | gt(v5, v4) = 0) & ! [v4] : ! [v5] : (v5 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v4) = v5)) & ! [v4] : ! [v5] : (v5 = n0 | ~ (sum(n0, tptp_minus_1, v4) = v5)) & ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v4) = v5)) & ! [v4] : ! [v5] : ( ~ (minus(v4, n1) = v5) | pred(v4) = v5) & ! [v4] : ! [v5] : ( ~ (plus(v4, n5) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (succ(v9) = v5 & succ(v8) = v9 & succ(v7) = v8 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(v4, n4) = v5) | ? [v6] : ? [v7] : ? [v8] : (succ(v8) = v5 & succ(v7) = v8 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(v4, n3) = v5) | ? [v6] : ? [v7] : (succ(v7) = v5 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(v4, n2) = v5) | ? [v6] : (succ(v6) = v5 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(v4, n1) = v5) | succ(v4) = v5) & ! [v4] : ! [v5] : ( ~ (plus(n5, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (succ(v9) = v5 & succ(v8) = v9 & succ(v7) = v8 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(n4, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (succ(v8) = v5 & succ(v7) = v8 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(n3, v4) = v5) | ? [v6] : ? [v7] : (succ(v7) = v5 & succ(v6) = v7 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(n2, v4) = v5) | ? [v6] : (succ(v6) = v5 & succ(v4) = v6)) & ! [v4] : ! [v5] : ( ~ (plus(n1, v4) = v5) | succ(v4) = v5) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | pred(v5) = v4) & ! [v4] : ! [v5] : ( ~ (pred(v4) = v5) | succ(v5) = v4) & ! [v4] : ! [v5] : ( ~ (geq(v4, v5) = 0) | leq(v5, v4) = 0) & ! [v4] : ! [v5] : ( ~ (lt(v4, v5) = 0) | gt(v5, v4) = 0) & ! [v4] : ! [v5] : ( ~ (leq(v5, v0) = 0) | ~ (leq(v4, n2) = 0) | ? [v6] : ? [v7] : ? [v8] : (a_select3(z_defuse, v4, v5) = v8 & leq(n0, v5) = v7 & leq(n0, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = use))) & ! [v4] : ! [v5] : ( ~ (leq(v5, v0) = 0) | ~ (leq(v4, n2) = 0) | ? [v6] : ? [v7] : ? [v8] : (a_select3(u_defuse, v4, v5) = v8 & leq(n0, v5) = v7 & leq(n0, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = use))) & ! [v4] : ! [v5] : ( ~ (gt(v5, v4) = 0) | leq(v4, v5) = 0) & ! [v4] : (v4 = n5 | v4 = n4 | v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n5) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n4 | v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n3) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n2) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n1 | v4 = n0 | ~ (leq(v4, n1) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n0) = v5)) & ! [v4] : ~ (gt(v4, v4) = 0))
% 26.67/7.46 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 26.67/7.46 | (1) ~ (all_0_0_0 = use) & ~ (def = use) & a_select3(u_defuse, all_0_2_2, all_0_1_1) = all_0_0_0 & a_select3(u_defuse, n2, n0) = use & a_select3(u_defuse, n1, n0) = use & a_select3(u_defuse, n0, n0) = use & a_select2(xinit_noise_defuse, n5) = use & a_select2(xinit_noise_defuse, n4) = use & a_select2(xinit_noise_defuse, n3) = use & a_select2(xinit_noise_defuse, n2) = use & a_select2(xinit_noise_defuse, n1) = use & a_select2(xinit_noise_defuse, n0) = use & a_select2(xinit_mean_defuse, n5) = use & a_select2(xinit_mean_defuse, n4) = use & a_select2(xinit_mean_defuse, n3) = use & a_select2(xinit_mean_defuse, n2) = use & a_select2(xinit_mean_defuse, n1) = use & a_select2(xinit_mean_defuse, n0) = use & a_select2(xinit_defuse, n5) = use & a_select2(xinit_defuse, n4) = use & a_select2(xinit_defuse, n3) = use & a_select2(sigma_defuse, n5) = use & a_select2(sigma_defuse, n4) = use & a_select2(sigma_defuse, n3) = use & a_select2(sigma_defuse, n2) = use & a_select2(sigma_defuse, n1) = use & a_select2(sigma_defuse, n0) = use & a_select2(rho_defuse, n2) = use & a_select2(rho_defuse, n1) = use & a_select2(rho_defuse, n0) = use & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & pred(pv5) = all_0_3_3 & leq(all_0_1_1, pv5) = 0 & leq(all_0_2_2, n2) = 0 & leq(pv5, n998) = 0 & leq(pv5, n0) = 0 & leq(n0, all_0_1_1) = 0 & leq(n0, all_0_2_2) = 0 & leq(n0, pv5) = 0 & gt(n998, n5) = 0 & gt(n998, n4) = 0 & gt(n998, n3) = 0 & gt(n998, n2) = 0 & gt(n998, n1) = 0 & gt(n998, tptp_minus_1) = 0 & gt(n998, 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 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_3_3) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : (a_select3(z_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = use))) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_3_3) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : (a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = use))) & ! [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] : ~ (gt(v0, v0) = 0)
% 26.89/7.49 |
% 26.89/7.49 | Applying alpha-rule on (1) yields:
% 26.89/7.49 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 26.89/7.49 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 26.89/7.49 | (4) a_select2(xinit_mean_defuse, n5) = use
% 26.89/7.49 | (5) gt(n998, tptp_minus_1) = 0
% 26.89/7.49 | (6) ? [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))))
% 26.89/7.49 | (7) a_select3(u_defuse, n2, n0) = use
% 26.89/7.49 | (8) a_select2(rho_defuse, n1) = use
% 26.89/7.49 | (9) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 26.89/7.49 | (10) gt(n3, tptp_minus_1) = 0
% 26.89/7.49 | (11) succ(tptp_minus_1) = n0
% 26.89/7.49 | (12) ? [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))))
% 26.89/7.49 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 26.89/7.49 | (14) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 26.89/7.49 | (15) pred(pv5) = all_0_3_3
% 26.89/7.49 | (16) ! [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))
% 26.89/7.49 | (17) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 26.89/7.49 | (18) a_select2(xinit_defuse, n4) = use
% 26.89/7.49 | (19) ! [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))))
% 26.89/7.49 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 26.89/7.49 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 26.89/7.49 | (22) ? [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))
% 26.89/7.49 | (23) gt(n5, n1) = 0
% 26.89/7.49 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 26.89/7.49 | (25) a_select2(xinit_mean_defuse, n4) = use
% 26.89/7.49 | (26) a_select2(xinit_mean_defuse, n1) = use
% 26.89/7.49 | (27) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 26.89/7.49 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 26.89/7.50 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 26.89/7.50 | (30) a_select2(xinit_mean_defuse, n2) = use
% 26.89/7.50 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 26.89/7.50 | (32) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 26.89/7.50 | (33) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 26.89/7.50 | (34) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 26.89/7.50 | (35) leq(n0, all_0_1_1) = 0
% 26.89/7.50 | (36) gt(n5, tptp_minus_1) = 0
% 26.89/7.50 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 26.89/7.50 | (38) a_select2(xinit_noise_defuse, n4) = use
% 26.89/7.50 | (39) gt(n5, n4) = 0
% 26.89/7.50 | (40) gt(n2, n0) = 0
% 26.89/7.50 | (41) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 26.89/7.50 | (42) ? [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))
% 26.89/7.50 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 26.89/7.50 | (44) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 26.89/7.50 | (45) a_select2(sigma_defuse, n1) = use
% 26.89/7.50 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 26.89/7.50 | (47) gt(n5, n3) = 0
% 26.89/7.50 | (48) a_select3(u_defuse, n1, n0) = use
% 26.89/7.50 | (49) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 26.89/7.50 | (50) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_3_3) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : (a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = use)))
% 26.89/7.50 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 26.89/7.50 | (52) true
% 26.89/7.50 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 26.89/7.50 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 26.89/7.50 | (55) ! [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))))
% 26.89/7.50 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 26.89/7.50 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 26.89/7.50 | (58) gt(n5, n2) = 0
% 26.89/7.50 | (59) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 26.89/7.50 | (60) ! [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))
% 26.89/7.50 | (61) leq(pv5, n0) = 0
% 26.89/7.50 | (62) a_select2(xinit_noise_defuse, n1) = use
% 26.89/7.50 | (63) leq(all_0_1_1, pv5) = 0
% 26.89/7.50 | (64) gt(n3, n2) = 0
% 26.89/7.50 | (65) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 26.89/7.50 | (66) gt(n5, n0) = 0
% 26.89/7.50 | (67) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 26.89/7.50 | (68) a_select2(xinit_noise_defuse, n2) = use
% 26.89/7.50 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 26.89/7.50 | (70) gt(n4, n3) = 0
% 26.89/7.50 | (71) gt(n1, tptp_minus_1) = 0
% 26.89/7.50 | (72) a_select2(sigma_defuse, n2) = use
% 26.89/7.50 | (73) a_select2(xinit_defuse, n5) = use
% 26.89/7.50 | (74) a_select2(xinit_noise_defuse, n3) = use
% 26.89/7.50 | (75) gt(n998, n0) = 0
% 26.89/7.50 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 26.89/7.50 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 26.89/7.50 | (78) gt(n998, n2) = 0
% 26.89/7.50 | (79) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 26.89/7.50 | (80) ? [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))))
% 26.89/7.50 | (81) succ(n4) = n5
% 26.89/7.50 | (82) ? [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))))
% 26.89/7.51 | (83) a_select2(sigma_defuse, n4) = use
% 26.89/7.51 | (84) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 26.89/7.51 | (85) gt(n998, n1) = 0
% 26.89/7.51 | (86) succ(n3) = n4
% 26.89/7.51 | (87) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 26.89/7.51 | (88) gt(n4, n2) = 0
% 26.89/7.51 | (89) ? [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))))
% 26.89/7.51 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 26.89/7.51 | (91) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 26.89/7.51 | (92) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 26.89/7.51 | (93) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 26.89/7.51 | (94) a_select2(sigma_defuse, n5) = use
% 26.89/7.51 | (95) gt(n3, n1) = 0
% 26.89/7.51 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 26.89/7.51 | (97) ! [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)))))
% 26.89/7.51 | (98) gt(n1, n0) = 0
% 26.89/7.51 | (99) gt(n998, n5) = 0
% 26.89/7.51 | (100) a_select3(u_defuse, n0, n0) = use
% 26.89/7.51 | (101) succ(n1) = n2
% 26.89/7.51 | (102) a_select3(u_defuse, all_0_2_2, all_0_1_1) = all_0_0_0
% 26.89/7.51 | (103) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_3_3) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : (a_select3(z_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = use)))
% 26.89/7.51 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 26.89/7.51 | (105) gt(n998, n3) = 0
% 26.89/7.51 | (106) ! [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)))))
% 26.89/7.51 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 26.89/7.51 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 26.89/7.51 | (109) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 26.89/7.51 | (110) gt(n998, n4) = 0
% 26.89/7.51 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 26.89/7.51 | (112) leq(all_0_2_2, n2) = 0
% 26.89/7.51 | (113) leq(n0, all_0_2_2) = 0
% 26.89/7.51 | (114) ? [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))))
% 26.89/7.51 | (115) a_select2(rho_defuse, n2) = use
% 26.89/7.51 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 26.89/7.51 | (117) leq(n0, pv5) = 0
% 26.89/7.51 | (118) succ(n0) = n1
% 26.89/7.51 | (119) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 26.89/7.51 | (120) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 26.89/7.51 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 26.89/7.51 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 26.89/7.51 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 26.89/7.51 | (124) a_select2(xinit_noise_defuse, n5) = use
% 26.89/7.51 | (125) a_select2(sigma_defuse, n0) = use
% 26.89/7.51 | (126) a_select2(xinit_noise_defuse, n0) = use
% 26.89/7.52 | (127) a_select2(sigma_defuse, n3) = use
% 26.89/7.52 | (128) leq(pv5, n998) = 0
% 26.89/7.52 | (129) succ(n2) = n3
% 26.89/7.52 | (130) a_select2(xinit_mean_defuse, n3) = use
% 26.89/7.52 | (131) gt(n2, tptp_minus_1) = 0
% 26.89/7.52 | (132) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 26.89/7.52 | (133) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 26.89/7.52 | (134) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 26.89/7.52 | (135) ~ (def = use)
% 26.89/7.52 | (136) ? [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))))
% 26.89/7.52 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 26.89/7.52 | (138) gt(n4, n1) = 0
% 26.89/7.52 | (139) gt(n4, tptp_minus_1) = 0
% 26.89/7.52 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 26.89/7.52 | (141) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 26.89/7.52 | (142) ~ (all_0_0_0 = use)
% 26.89/7.52 | (143) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 26.89/7.52 | (144) a_select2(rho_defuse, n0) = use
% 26.89/7.52 | (145) a_select2(xinit_defuse, n3) = use
% 26.89/7.52 | (146) gt(n3, n0) = 0
% 26.89/7.52 | (147) ! [v0] : ~ (gt(v0, v0) = 0)
% 26.89/7.52 | (148) gt(n4, n0) = 0
% 26.89/7.52 | (149) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 26.89/7.52 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 26.89/7.52 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 26.89/7.52 | (152) gt(n0, tptp_minus_1) = 0
% 26.89/7.52 | (153) ? [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))))
% 26.89/7.52 | (154) gt(n2, n1) = 0
% 26.89/7.52 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 26.89/7.52 | (156) a_select2(xinit_mean_defuse, n0) = use
% 26.89/7.52 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 26.89/7.52 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (134) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 26.89/7.52 | (159) pred(n0) = tptp_minus_1
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (27) with pv5 and discharging atoms leq(n0, pv5) = 0, yields:
% 26.89/7.52 | (160) pv5 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(pv5, n0) = v0)
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (14) with all_0_2_2 and discharging atoms leq(all_0_2_2, n2) = 0, yields:
% 26.89/7.52 | (161) all_0_2_2 = n2 | all_0_2_2 = n1 | all_0_2_2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0)
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (27) with n2 yields:
% 26.89/7.52 | (162) n2 = n0 | ~ (leq(n0, n2) = 0) | ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (27) with all_0_1_1 and discharging atoms leq(n0, all_0_1_1) = 0, yields:
% 26.89/7.52 | (163) all_0_1_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (27) with all_0_2_2 and discharging atoms leq(n0, all_0_2_2) = 0, yields:
% 26.89/7.52 | (164) all_0_2_2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n0) = v0)
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (107) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields:
% 26.89/7.52 | (165) leq(n2, n2) = 0
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (143) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields:
% 26.89/7.52 | (166) leq(n1, n2) = 0
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (143) with n2, tptp_minus_1 and discharging atoms gt(n2, tptp_minus_1) = 0, yields:
% 26.89/7.52 | (167) leq(tptp_minus_1, n2) = 0
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (143) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 26.89/7.52 | (168) leq(n0, n2) = 0
% 26.89/7.52 |
% 26.89/7.52 | Instantiating formula (107) with n0, tptp_minus_1, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, gt(n0, tptp_minus_1) = 0, yields:
% 26.89/7.52 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.52 |
% 26.89/7.52 +-Applying beta-rule and splitting (160), into two cases.
% 26.89/7.52 |-Branch one:
% 26.89/7.52 | (170) pv5 = n0
% 26.89/7.52 |
% 26.89/7.52 | From (170) and (15) follows:
% 26.89/7.53 | (171) pred(n0) = all_0_3_3
% 26.89/7.53 |
% 26.89/7.53 | From (170) and (63) follows:
% 26.89/7.53 | (172) leq(all_0_1_1, n0) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (163), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (173) all_0_1_1 = n0
% 26.89/7.53 |
% 26.89/7.53 | From (173) and (102) follows:
% 26.89/7.53 | (174) a_select3(u_defuse, all_0_2_2, n0) = all_0_0_0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (162), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (175) ~ (leq(n0, n2) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (168) and (175) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (168) leq(n0, n2) = 0
% 26.89/7.53 | (178) n2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (76) with u_defuse, n2, n0, all_0_0_0, use and discharging atoms a_select3(u_defuse, n2, n0) = use, yields:
% 26.89/7.53 | (179) all_0_0_0 = use | ~ (a_select3(u_defuse, n2, n0) = all_0_0_0)
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (76) with u_defuse, n1, n0, all_0_0_0, use and discharging atoms a_select3(u_defuse, n1, n0) = use, yields:
% 26.89/7.53 | (180) all_0_0_0 = use | ~ (a_select3(u_defuse, n1, n0) = all_0_0_0)
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (76) with u_defuse, n0, n0, all_0_0_0, use and discharging atoms a_select3(u_defuse, n0, n0) = use, yields:
% 26.89/7.53 | (181) all_0_0_0 = use | ~ (a_select3(u_defuse, n0, n0) = all_0_0_0)
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (111) with n0, tptp_minus_1, all_0_3_3 and discharging atoms pred(n0) = all_0_3_3, pred(n0) = tptp_minus_1, yields:
% 26.89/7.53 | (182) all_0_3_3 = tptp_minus_1
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (103) with tptp_minus_1, all_0_2_2 and discharging atoms leq(all_0_2_2, n2) = 0, yields:
% 26.89/7.53 | (183) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, all_0_2_2, tptp_minus_1) = v2 & leq(n0, all_0_2_2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (50) with tptp_minus_1, all_0_2_2 and discharging atoms leq(all_0_2_2, n2) = 0, yields:
% 26.89/7.53 | (184) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, all_0_2_2, tptp_minus_1) = v2 & leq(n0, all_0_2_2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (103) with tptp_minus_1, n0 and discharging atoms leq(n0, n2) = 0, yields:
% 26.89/7.53 | (185) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (50) with tptp_minus_1, n0 and discharging atoms leq(n0, n2) = 0, yields:
% 26.89/7.53 | (186) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (103) with tptp_minus_1, n2 and discharging atoms leq(n2, n2) = 0, yields:
% 26.89/7.53 | (187) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (50) with tptp_minus_1, n2 and discharging atoms leq(n2, n2) = 0, yields:
% 26.89/7.53 | (188) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (103) with tptp_minus_1, n1 and discharging atoms leq(n1, n2) = 0, yields:
% 26.89/7.53 | (189) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (50) with tptp_minus_1, n1 and discharging atoms leq(n1, n2) = 0, yields:
% 26.89/7.53 | (190) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (103) with tptp_minus_1, tptp_minus_1 and discharging atoms leq(tptp_minus_1, n2) = 0, yields:
% 26.89/7.53 | (191) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | Instantiating formula (50) with tptp_minus_1, tptp_minus_1 and discharging atoms leq(tptp_minus_1, n2) = 0, yields:
% 26.89/7.53 | (192) ~ (leq(tptp_minus_1, all_0_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (185), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (197) ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (186), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (203) ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (187), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (209) ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (188), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (215) ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (191), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (221) ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (189), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (227) ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (196) follows:
% 26.89/7.53 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.53 |
% 26.89/7.53 +-Applying beta-rule and splitting (190), into two cases.
% 26.89/7.53 |-Branch one:
% 26.89/7.53 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.53 |
% 26.89/7.53 | From (182) and (193) follows:
% 26.89/7.53 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.53 |
% 26.89/7.53 | Using (169) and (194) yields:
% 26.89/7.53 | (176) $false
% 26.89/7.53 |
% 26.89/7.53 |-The branch is then unsatisfiable
% 26.89/7.53 |-Branch two:
% 26.89/7.53 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.53 | (233) ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (196) follows:
% 26.89/7.54 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.54 |
% 26.89/7.54 +-Applying beta-rule and splitting (192), into two cases.
% 26.89/7.54 |-Branch one:
% 26.89/7.54 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (193) follows:
% 26.89/7.54 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.54 |
% 26.89/7.54 | Using (169) and (194) yields:
% 26.89/7.54 | (176) $false
% 26.89/7.54 |
% 26.89/7.54 |-The branch is then unsatisfiable
% 26.89/7.54 |-Branch two:
% 26.89/7.54 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.54 | (239) ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (196) follows:
% 26.89/7.54 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.54 |
% 26.89/7.54 +-Applying beta-rule and splitting (183), into two cases.
% 26.89/7.54 |-Branch one:
% 26.89/7.54 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (193) follows:
% 26.89/7.54 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.54 |
% 26.89/7.54 | Using (169) and (194) yields:
% 26.89/7.54 | (176) $false
% 26.89/7.54 |
% 26.89/7.54 |-The branch is then unsatisfiable
% 26.89/7.54 |-Branch two:
% 26.89/7.54 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.54 | (245) ? [v0] : ? [v1] : ? [v2] : (a_select3(z_defuse, all_0_2_2, tptp_minus_1) = v2 & leq(n0, all_0_2_2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.54 |
% 26.89/7.54 | Instantiating (245) with all_125_0_42, all_125_1_43, all_125_2_44 yields:
% 26.89/7.54 | (246) a_select3(z_defuse, all_0_2_2, tptp_minus_1) = all_125_0_42 & leq(n0, all_0_2_2) = all_125_2_44 & leq(n0, tptp_minus_1) = all_125_1_43 & ( ~ (all_125_1_43 = 0) | ~ (all_125_2_44 = 0) | all_125_0_42 = use)
% 26.89/7.54 |
% 26.89/7.54 | Applying alpha-rule on (246) yields:
% 26.89/7.54 | (247) a_select3(z_defuse, all_0_2_2, tptp_minus_1) = all_125_0_42
% 26.89/7.54 | (248) leq(n0, all_0_2_2) = all_125_2_44
% 26.89/7.54 | (249) leq(n0, tptp_minus_1) = all_125_1_43
% 26.89/7.54 | (250) ~ (all_125_1_43 = 0) | ~ (all_125_2_44 = 0) | all_125_0_42 = use
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (196) follows:
% 26.89/7.54 | (169) leq(tptp_minus_1, tptp_minus_1) = 0
% 26.89/7.54 |
% 26.89/7.54 +-Applying beta-rule and splitting (184), into two cases.
% 26.89/7.54 |-Branch one:
% 26.89/7.54 | (193) ~ (leq(tptp_minus_1, all_0_3_3) = 0)
% 26.89/7.54 |
% 26.89/7.54 | From (182) and (193) follows:
% 26.89/7.54 | (194) ~ (leq(tptp_minus_1, tptp_minus_1) = 0)
% 26.89/7.54 |
% 26.89/7.54 | Using (169) and (194) yields:
% 26.89/7.54 | (176) $false
% 26.89/7.54 |
% 26.89/7.54 |-The branch is then unsatisfiable
% 26.89/7.54 |-Branch two:
% 26.89/7.54 | (196) leq(tptp_minus_1, all_0_3_3) = 0
% 26.89/7.54 | (256) ? [v0] : ? [v1] : ? [v2] : (a_select3(u_defuse, all_0_2_2, tptp_minus_1) = v2 & leq(n0, all_0_2_2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = use))
% 26.89/7.54 |
% 26.89/7.54 | Instantiating (256) with all_130_0_45, all_130_1_46, all_130_2_47 yields:
% 26.89/7.54 | (257) a_select3(u_defuse, all_0_2_2, tptp_minus_1) = all_130_0_45 & leq(n0, all_0_2_2) = all_130_2_47 & leq(n0, tptp_minus_1) = all_130_1_46 & ( ~ (all_130_1_46 = 0) | ~ (all_130_2_47 = 0) | all_130_0_45 = use)
% 26.89/7.54 |
% 26.89/7.54 | Applying alpha-rule on (257) yields:
% 26.89/7.54 | (258) a_select3(u_defuse, all_0_2_2, tptp_minus_1) = all_130_0_45
% 26.89/7.54 | (259) leq(n0, all_0_2_2) = all_130_2_47
% 26.89/7.54 | (260) leq(n0, tptp_minus_1) = all_130_1_46
% 26.89/7.54 | (261) ~ (all_130_1_46 = 0) | ~ (all_130_2_47 = 0) | all_130_0_45 = use
% 26.89/7.54 |
% 26.89/7.54 | Instantiating formula (56) with n0, all_0_2_2, all_130_2_47, 0 and discharging atoms leq(n0, all_0_2_2) = all_130_2_47, leq(n0, all_0_2_2) = 0, yields:
% 26.89/7.54 | (262) all_130_2_47 = 0
% 26.89/7.54 |
% 26.89/7.54 | Instantiating formula (56) with n0, all_0_2_2, all_125_2_44, all_130_2_47 and discharging atoms leq(n0, all_0_2_2) = all_130_2_47, leq(n0, all_0_2_2) = all_125_2_44, yields:
% 26.89/7.54 | (263) all_130_2_47 = all_125_2_44
% 26.89/7.54 |
% 27.21/7.54 | Combining equations (262,263) yields a new equation:
% 27.21/7.54 | (264) all_125_2_44 = 0
% 27.21/7.54 |
% 27.21/7.54 | From (264) and (248) follows:
% 27.21/7.54 | (113) leq(n0, all_0_2_2) = 0
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (164), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (266) all_0_2_2 = n0
% 27.21/7.54 |
% 27.21/7.54 | From (266) and (174) follows:
% 27.21/7.54 | (267) a_select3(u_defuse, n0, n0) = all_0_0_0
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (181), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (268) ~ (a_select3(u_defuse, n0, n0) = all_0_0_0)
% 27.21/7.54 |
% 27.21/7.54 | Using (267) and (268) yields:
% 27.21/7.54 | (176) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (267) a_select3(u_defuse, n0, n0) = all_0_0_0
% 27.21/7.54 | (271) all_0_0_0 = use
% 27.21/7.54 |
% 27.21/7.54 | Equations (271) can reduce 142 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (273) ~ (all_0_2_2 = n0)
% 27.21/7.54 | (274) ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n0) = v0)
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (161), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (266) all_0_2_2 = n0
% 27.21/7.54 |
% 27.21/7.54 | Equations (266) can reduce 273 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (273) ~ (all_0_2_2 = n0)
% 27.21/7.54 | (278) all_0_2_2 = n2 | all_0_2_2 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0)
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (180), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (279) ~ (a_select3(u_defuse, n1, n0) = all_0_0_0)
% 27.21/7.54 |
% 27.21/7.54 | Using (174) and (279) yields:
% 27.21/7.54 | (280) ~ (all_0_2_2 = n1)
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (278), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (281) all_0_2_2 = n2
% 27.21/7.54 |
% 27.21/7.54 | From (281) and (174) follows:
% 27.21/7.54 | (282) a_select3(u_defuse, n2, n0) = all_0_0_0
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (179), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (283) ~ (a_select3(u_defuse, n2, n0) = all_0_0_0)
% 27.21/7.54 |
% 27.21/7.54 | Using (282) and (283) yields:
% 27.21/7.54 | (176) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (282) a_select3(u_defuse, n2, n0) = all_0_0_0
% 27.21/7.54 | (271) all_0_0_0 = use
% 27.21/7.54 |
% 27.21/7.54 | Equations (271) can reduce 142 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (288) ~ (all_0_2_2 = n2)
% 27.21/7.54 | (289) all_0_2_2 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0)
% 27.21/7.54 |
% 27.21/7.54 +-Applying beta-rule and splitting (289), into two cases.
% 27.21/7.54 |-Branch one:
% 27.21/7.54 | (290) all_0_2_2 = n1
% 27.21/7.54 |
% 27.21/7.54 | Equations (290) can reduce 280 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (280) ~ (all_0_2_2 = n1)
% 27.21/7.54 | (293) ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0)
% 27.21/7.54 |
% 27.21/7.54 | Instantiating (293) with all_522_0_91 yields:
% 27.21/7.54 | (294) ~ (all_522_0_91 = 0) & leq(n0, all_0_2_2) = all_522_0_91
% 27.21/7.54 |
% 27.21/7.54 | Applying alpha-rule on (294) yields:
% 27.21/7.54 | (295) ~ (all_522_0_91 = 0)
% 27.21/7.54 | (296) leq(n0, all_0_2_2) = all_522_0_91
% 27.21/7.54 |
% 27.21/7.54 | Instantiating formula (56) with n0, all_0_2_2, all_522_0_91, 0 and discharging atoms leq(n0, all_0_2_2) = all_522_0_91, leq(n0, all_0_2_2) = 0, yields:
% 27.21/7.54 | (297) all_522_0_91 = 0
% 27.21/7.54 |
% 27.21/7.54 | Equations (297) can reduce 295 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (299) a_select3(u_defuse, n1, n0) = all_0_0_0
% 27.21/7.54 | (271) all_0_0_0 = use
% 27.21/7.54 |
% 27.21/7.54 | Equations (271) can reduce 142 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (302) ~ (all_0_1_1 = n0)
% 27.21/7.54 | (303) ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 27.21/7.54 |
% 27.21/7.54 | Instantiating (303) with all_49_0_92 yields:
% 27.21/7.54 | (304) ~ (all_49_0_92 = 0) & leq(all_0_1_1, n0) = all_49_0_92
% 27.21/7.54 |
% 27.21/7.54 | Applying alpha-rule on (304) yields:
% 27.21/7.54 | (305) ~ (all_49_0_92 = 0)
% 27.21/7.54 | (306) leq(all_0_1_1, n0) = all_49_0_92
% 27.21/7.54 |
% 27.21/7.54 | Instantiating formula (56) with all_0_1_1, n0, 0, all_49_0_92 and discharging atoms leq(all_0_1_1, n0) = all_49_0_92, leq(all_0_1_1, n0) = 0, yields:
% 27.21/7.54 | (307) all_49_0_92 = 0
% 27.21/7.54 |
% 27.21/7.54 | Equations (307) can reduce 305 to:
% 27.21/7.54 | (272) $false
% 27.21/7.54 |
% 27.21/7.54 |-The branch is then unsatisfiable
% 27.21/7.54 |-Branch two:
% 27.21/7.54 | (309) ~ (pv5 = n0)
% 27.21/7.54 | (310) ? [v0] : ( ~ (v0 = 0) & leq(pv5, n0) = v0)
% 27.21/7.54 |
% 27.21/7.54 | Instantiating (310) with all_41_0_95 yields:
% 27.21/7.54 | (311) ~ (all_41_0_95 = 0) & leq(pv5, n0) = all_41_0_95
% 27.21/7.55 |
% 27.21/7.55 | Applying alpha-rule on (311) yields:
% 27.21/7.55 | (312) ~ (all_41_0_95 = 0)
% 27.21/7.55 | (313) leq(pv5, n0) = all_41_0_95
% 27.21/7.55 |
% 27.21/7.55 | Instantiating formula (56) with pv5, n0, all_41_0_95, 0 and discharging atoms leq(pv5, n0) = all_41_0_95, leq(pv5, n0) = 0, yields:
% 27.21/7.55 | (314) all_41_0_95 = 0
% 27.21/7.55 |
% 27.21/7.55 | Equations (314) can reduce 312 to:
% 27.21/7.55 | (272) $false
% 27.21/7.55 |
% 27.21/7.55 |-The branch is then unsatisfiable
% 27.21/7.55 % SZS output end Proof for theBenchmark
% 27.21/7.55
% 27.21/7.55 6959ms
%------------------------------------------------------------------------------