TSTP Solution File: SWV204+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV204+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 17:50:22 EDT 2022
% Result : Theorem 24.37s 6.60s
% Output : Proof 29.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 04:39:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.66/0.67 ____ _
% 0.66/0.67 ___ / __ \_____(_)___ ________ __________
% 0.66/0.67 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.67 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.67 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.67
% 0.66/0.67 A Theorem Prover for First-Order Logic
% 0.66/0.67 (ePrincess v.1.0)
% 0.66/0.67
% 0.66/0.67 (c) Philipp Rümmer, 2009-2015
% 0.66/0.67 (c) Peter Backeman, 2014-2015
% 0.66/0.67 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.67 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.67 Bug reports to peter@backeman.se
% 0.66/0.67
% 0.66/0.67 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.67
% 0.66/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.77/0.73 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.57/1.25 Prover 0: Preprocessing ...
% 5.00/1.96 Prover 0: Warning: ignoring some quantifiers
% 5.24/2.00 Prover 0: Constructing countermodel ...
% 21.66/6.02 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 22.08/6.18 Prover 1: Preprocessing ...
% 23.53/6.43 Prover 1: Warning: ignoring some quantifiers
% 23.53/6.44 Prover 1: Constructing countermodel ...
% 23.99/6.60 Prover 1: proved (573ms)
% 24.37/6.60 Prover 0: stopped
% 24.37/6.60
% 24.37/6.60 No countermodel exists, formula is valid
% 24.37/6.60 % SZS status Theorem for theBenchmark
% 24.37/6.60
% 24.37/6.60 Generating proof ... Warning: ignoring some quantifiers
% 28.78/7.61 found it (size 36)
% 28.78/7.61
% 28.78/7.61 % SZS output start Proof for theBenchmark
% 28.78/7.61 Assumed formulas after preprocessing and simplification:
% 28.78/7.61 | (0) ? [v0] : ? [v1] : ( ~ (v1 = use) & ~ (def = use) & 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, v0) = v1 & 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 & leq(v0, n2) = 0 & leq(n0, v0) = 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 & ? [v2] : ? [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tptp_mmul(v16, v17) = v18) | ~ (tptp_mmul(v9, v13) = v14) | ~ (tptp_mmul(v8, v14) = v15) | ~ (tptp_mmul(v7, v10) = v11) | ~ (tptp_mmul(v6, v11) = v12) | ~ (tptp_mmul(v5, v18) = v19) | ~ (tptp_madd(v12, v15) = v16) | ~ (tptp_madd(v4, v19) = v20) | ~ (trans(v8) = v13) | ~ (trans(v6) = v10) | ~ (trans(v5) = v17) | ~ (a_select3(v20, v21, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ((v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v9, v25, v24) = v31 & a_select3(v9, v24, v25) = v30 & leq(v25, v2) = 0 & leq(v24, v2) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v7, v25, v24) = v31 & a_select3(v7, v24, v25) = v30 & leq(v25, v3) = 0 & leq(v24, v3) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (v29 = 0 & v28 = 0 & v27 = 0 & v26 = 0 & ~ (v31 = v30) & a_select3(v4, v25, v24) = v31 & a_select3(v4, v24, v25) = v30 & leq(v25, v2) = 0 & leq(v24, v2) = 0 & leq(n0, v25) = 0 & leq(n0, v24) = 0) | (a_select3(v20, v22, v21) = v28 & leq(v22, v2) = v27 & leq(v21, v2) = v25 & leq(n0, v22) = v26 & leq(n0, v21) = v24 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | v28 = v23)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v8 | ~ (tptp_const_array2(v9, v10, v8) = v11) | ~ (a_select3(v11, v2, v5) = v12) | ~ (dim(v6, v7) = v10) | ~ (dim(v3, v4) = v9) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (leq(v6, v5) = v15 & leq(v5, v7) = v16 & leq(v3, v2) = v13 & leq(v2, v4) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ? [v2] : ? [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (tptp_mmul(v5, v6) = v7) | ~ (tptp_mmul(v4, v7) = v8) | ~ (trans(v4) = v6) | ~ (a_select3(v8, v9, v10) = 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, v3) = 0 & leq(v12, v3) = 0 & leq(n0, v13) = 0 & leq(n0, v12) = 0) | (a_select3(v8, v10, v9) = v16 & leq(v10, v2) = v15 & leq(v9, v2) = v13 & leq(n0, v10) = v14 & leq(n0, v9) = v12 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | v16 = v11)))) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (tptp_mmul(v4, v5) = v6) | ~ (tptp_mmul(v3, v6) = v7) | ~ (trans(v3) = v5) | ~ (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(v4, v12, v11) = v18 & a_select3(v4, v11, v12) = v17 & leq(v12, v2) = 0 & leq(v11, v2) = 0 & leq(n0, v12) = 0 & leq(n0, v11) = 0) | (a_select3(v7, v9, v8) = v15 & leq(v9, v2) = v14 & leq(v8, v2) = v12 & leq(n0, v9) = v13 & leq(n0, v8) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v15 = v10)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (tptp_update3(v6, v4, v5, v7) = v8) | ~ (a_select3(v8, v2, v3) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v16 = v7) & a_select3(v6, v10, v11) = v16 & leq(v11, v5) = 0 & leq(v10, v4) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (leq(v3, v5) = v13 & leq(v2, v4) = v11 & leq(n0, v3) = v12 & leq(n0, v2) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v2 | v5 = v3 | ~ (tptp_update3(v6, v3, v4, v7) = v8) | ~ (a_select3(v8, v5, v4) = v9) | ? [v10] : ( ~ (v10 = v2) & a_select3(v6, v5, v4) = v10)) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_update3(v3, v6, v6, v7) = v8) | ~ (a_select3(v8, v4, v5) = 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, v2) = 0 & leq(v10, v2) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v8, v5, v4) = v16 & leq(v6, v2) = v15 & leq(v5, v2) = v13 & leq(v4, v2) = v11 & leq(n0, v6) = v14 & leq(n0, v5) = v12 & leq(n0, v4) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v16 = v9)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v5 | ~ (dim(v3, v4) = v6) | ~ (tptp_const_array1(v6, v5) = v7) | ~ (a_select2(v7, v2) = v8) | ? [v9] : ? [v10] : (leq(v3, v2) = v9 & leq(v2, v4) = v10 & ( ~ (v10 = 0) | ~ (v9 = 0)))) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v2 | v4 = v3 | ~ (tptp_update2(v5, v3, v6) = v7) | ~ (a_select2(v7, v4) = v8) | ? [v9] : ( ~ (v9 = v2) & a_select2(v5, v4) = v9)) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_msub(v3, v4) = v5) | ~ (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(v4, v10, v9) = v16 & a_select3(v4, v9, v10) = v15 & leq(v10, v2) = 0 & leq(v9, v2) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v3, v10, v9) = v16 & a_select3(v3, v9, v10) = v15 & leq(v10, v2) = 0 & leq(v9, v2) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v2) = v12 & leq(v6, v2) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_madd(v3, v4) = v5) | ~ (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(v4, v10, v9) = v16 & a_select3(v4, v9, v10) = v15 & leq(v10, v2) = 0 & leq(v9, v2) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v3, v10, v9) = v16 & a_select3(v3, v9, v10) = v15 & leq(v10, v2) = 0 & leq(v9, v2) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v2) = v12 & leq(v6, v2) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update2(v4, v3, v5) = v6) | ~ (a_select2(v6, v2) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v10 = 0 & v9 = 0 & ~ (v11 = v5) & a_select2(v4, v8) = v11 & leq(v8, v3) = 0 & leq(n0, v8) = 0) | (leq(v2, v3) = v9 & leq(n0, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v2, v3, v4, v5) = v6) | ~ (a_select3(v6, v3, v4) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v3 = v2 | ~ (tptp_update3(v7, v6, v5, v4) = v3) | ~ (tptp_update3(v7, v6, v5, v4) = v2)) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (inv(v3) = v4) | ~ (a_select3(v4, v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v3, v9, v8) = v15 & a_select3(v3, v8, v9) = v14 & leq(v9, v2) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v4, v6, v5) = v12 & leq(v6, v2) = v11 & leq(v5, v2) = v9 & leq(n0, v6) = v10 & leq(n0, v5) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v12 = v7)))) & ? [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (trans(v3) = v4) | ~ (a_select3(v4, v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v3, v9, v8) = v15 & a_select3(v3, v8, v9) = v14 & leq(v9, v2) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v4, v6, v5) = v12 & leq(v6, v2) = v11 & leq(v5, v2) = v9 & leq(n0, v6) = v10 & leq(n0, v5) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v12 = v7)))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (tptp_update2(v2, v3, v4) = v5) | ~ (a_select2(v5, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (succ(v3) = v5) | ~ (succ(v2) = v4) | ~ (leq(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & leq(v2, v3) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (tptp_update2(v6, v5, v4) = v3) | ~ (tptp_update2(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (sum(v6, v5, v4) = v3) | ~ (sum(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (tptp_const_array2(v6, v5, v4) = v3) | ~ (tptp_const_array2(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (a_select3(v6, v5, v4) = v3) | ~ (a_select3(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (uniform_int_rnd(v3, v2) = v4) | ~ (leq(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & leq(n0, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (succ(v3) = v4) | ~ (leq(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & leq(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (succ(v3) = v4) | ~ (gt(v4, v2) = v5) | ? [v6] : ( ~ (v6 = 0) & leq(v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (pred(v3) = v4) | ~ (leq(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & gt(v3, v2) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v2, v4) = v5) | ~ (leq(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & leq(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (gt(v2, v4) = v5) | ~ (gt(v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & gt(v3, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (minus(v5, v4) = v3) | ~ (minus(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (plus(v5, v4) = v3) | ~ (plus(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (tptp_mmul(v5, v4) = v3) | ~ (tptp_mmul(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (tptp_msub(v5, v4) = v3) | ~ (tptp_msub(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (tptp_madd(v5, v4) = v3) | ~ (tptp_madd(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (dim(v5, v4) = v3) | ~ (dim(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (tptp_const_array1(v5, v4) = v3) | ~ (tptp_const_array1(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (a_select2(v5, v4) = v3) | ~ (a_select2(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (uniform_int_rnd(v5, v4) = v3) | ~ (uniform_int_rnd(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (geq(v5, v4) = v3) | ~ (geq(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (lt(v5, v4) = v3) | ~ (lt(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (leq(v5, v4) = v3) | ~ (leq(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (gt(v5, v4) = v3) | ~ (gt(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (succ(v3) = v5) | ~ (succ(v2) = v4) | ~ (leq(v4, v5) = 0) | leq(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = use | ~ (a_select3(z_defuse, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leq(v3, n998) = v8 & leq(v2, n2) = v7 & leq(n0, v3) = v6 & leq(n0, v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = use | ~ (a_select3(u_defuse, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leq(v3, n998) = v8 & leq(v2, n2) = v7 & leq(n0, v3) = v6 & leq(n0, v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (gt(v3, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v2, v3) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (gt(v2, v3) = v4) | gt(v3, v2) = 0) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v2) = v3) | ~ (gt(v3, v2) = v4)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (geq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (lt(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & gt(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (inv(v4) = v3) | ~ (inv(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (trans(v4) = v3) | ~ (trans(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (succ(v4) = v3) | ~ (succ(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (pred(v4) = v3) | ~ (pred(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (minus(v2, v3) = v4) | ~ (leq(v4, v2) = 0) | leq(n0, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (uniform_int_rnd(v3, v2) = v4) | ? [v5] : ? [v6] : (leq(n0, v4) = v6 & leq(n0, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v3) = v4) | ~ (gt(v4, v2) = 0) | leq(v2, v3) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (succ(v2) = v4) | ~ (leq(v4, v3) = 0) | gt(v3, v2) = 0) & ! [v2] : ! [v3] : ! [v4] : ( ~ (pred(v3) = v4) | ~ (leq(v2, v4) = 0) | gt(v3, v2) = 0) & ! [v2] : ! [v3] : (v3 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v2) = v3)) & ! [v2] : ! [v3] : (v3 = n0 | ~ (sum(n0, tptp_minus_1, v2) = v3)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v2, v2) = v3)) & ! [v2] : ! [v3] : ( ~ (minus(v2, n1) = v3) | pred(v2) = v3) & ! [v2] : ! [v3] : ( ~ (plus(v2, n5) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (succ(v7) = v3 & succ(v6) = v7 & succ(v5) = v6 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(v2, n4) = v3) | ? [v4] : ? [v5] : ? [v6] : (succ(v6) = v3 & succ(v5) = v6 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(v2, n3) = v3) | ? [v4] : ? [v5] : (succ(v5) = v3 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(v2, n2) = v3) | ? [v4] : (succ(v4) = v3 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(v2, n1) = v3) | succ(v2) = v3) & ! [v2] : ! [v3] : ( ~ (plus(n5, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (succ(v7) = v3 & succ(v6) = v7 & succ(v5) = v6 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(n4, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (succ(v6) = v3 & succ(v5) = v6 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(n3, v2) = v3) | ? [v4] : ? [v5] : (succ(v5) = v3 & succ(v4) = v5 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(n2, v2) = v3) | ? [v4] : (succ(v4) = v3 & succ(v2) = v4)) & ! [v2] : ! [v3] : ( ~ (plus(n1, v2) = v3) | succ(v2) = v3) & ! [v2] : ! [v3] : ( ~ (succ(v2) = v3) | pred(v3) = v2) & ! [v2] : ! [v3] : ( ~ (pred(v2) = v3) | succ(v3) = v2) & ! [v2] : ! [v3] : ( ~ (geq(v2, v3) = 0) | leq(v3, v2) = 0) & ! [v2] : ! [v3] : ( ~ (lt(v2, v3) = 0) | gt(v3, v2) = 0) & ! [v2] : ! [v3] : ( ~ (gt(v3, v2) = 0) | leq(v2, v3) = 0) & ! [v2] : (v2 = n5 | v2 = n4 | v2 = n3 | v2 = n2 | v2 = n1 | v2 = n0 | ~ (leq(v2, n5) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(n0, v2) = v3)) & ! [v2] : (v2 = n4 | v2 = n3 | v2 = n2 | v2 = n1 | v2 = n0 | ~ (leq(v2, n4) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(n0, v2) = v3)) & ! [v2] : (v2 = n3 | v2 = n2 | v2 = n1 | v2 = n0 | ~ (leq(v2, n3) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(n0, v2) = v3)) & ! [v2] : (v2 = n2 | v2 = n1 | v2 = n0 | ~ (leq(v2, n2) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(n0, v2) = v3)) & ! [v2] : (v2 = n1 | v2 = n0 | ~ (leq(v2, n1) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(n0, v2) = v3)) & ! [v2] : (v2 = n0 | ~ (leq(n0, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & leq(v2, n0) = v3)) & ! [v2] : ~ (gt(v2, v2) = 0))
% 29.12/7.69 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 29.12/7.69 | (1) ~ (all_0_0_0 = use) & ~ (def = use) & 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, all_0_1_1) = all_0_0_0 & 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 & leq(all_0_1_1, n2) = 0 & leq(n0, all_0_1_1) = 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 = use | ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leq(v1, n998) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(u_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leq(v1, n998) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (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 = 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] : ~ (gt(v0, v0) = 0)
% 29.12/7.73 |
% 29.12/7.73 | Applying alpha-rule on (1) yields:
% 29.12/7.73 | (2) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 29.12/7.73 | (3) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 29.12/7.73 | (4) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 29.12/7.73 | (5) gt(n0, tptp_minus_1) = 0
% 29.12/7.73 | (6) a_select2(xinit_noise_defuse, n2) = use
% 29.12/7.73 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 29.12/7.73 | (8) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 29.12/7.73 | (9) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 29.12/7.73 | (10) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 29.12/7.73 | (11) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 29.12/7.73 | (12) leq(all_0_1_1, n2) = 0
% 29.12/7.73 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 29.12/7.73 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 29.12/7.73 | (15) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 29.12/7.73 | (16) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 29.12/7.73 | (17) a_select2(rho_defuse, n1) = use
% 29.12/7.73 | (18) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 29.12/7.73 | (19) gt(n998, n5) = 0
% 29.12/7.73 | (20) gt(n1, tptp_minus_1) = 0
% 29.12/7.73 | (21) a_select3(u_defuse, n0, n0) = use
% 29.12/7.73 | (22) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 29.12/7.73 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 29.12/7.73 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 29.12/7.73 | (25) gt(n3, n1) = 0
% 29.12/7.73 | (26) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 29.12/7.73 | (27) a_select2(sigma_defuse, n4) = use
% 29.12/7.73 | (28) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 29.12/7.73 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 29.12/7.73 | (30) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 29.12/7.73 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 29.12/7.73 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 29.12/7.73 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 29.12/7.74 | (34) ! [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)))))
% 29.12/7.74 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 29.12/7.74 | (36) a_select2(rho_defuse, n2) = use
% 29.12/7.74 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 29.12/7.74 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 29.12/7.74 | (39) a_select2(xinit_mean_defuse, n2) = use
% 29.12/7.74 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 29.12/7.74 | (41) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 29.12/7.74 | (42) succ(n0) = n1
% 29.12/7.74 | (43) gt(n4, tptp_minus_1) = 0
% 29.12/7.74 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leq(v1, n998) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 29.12/7.74 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 29.12/7.74 | (46) ! [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))
% 29.12/7.74 | (47) gt(n5, n0) = 0
% 29.12/7.74 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 29.12/7.74 | (49) ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(u_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leq(v1, n998) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))))
% 29.12/7.74 | (50) gt(n4, n3) = 0
% 29.12/7.74 | (51) ! [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))))
% 29.12/7.74 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 29.12/7.74 | (53) gt(n5, tptp_minus_1) = 0
% 29.12/7.74 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 29.12/7.74 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 29.12/7.74 | (56) ~ (all_0_0_0 = use)
% 29.12/7.74 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 29.12/7.74 | (58) a_select2(xinit_defuse, n5) = use
% 29.12/7.74 | (59) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 29.12/7.74 | (60) a_select2(sigma_defuse, n5) = use
% 29.12/7.74 | (61) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 29.12/7.74 | (62) true
% 29.12/7.74 | (63) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 29.12/7.74 | (64) ? [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))))
% 29.12/7.74 | (65) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 29.12/7.74 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 29.12/7.74 | (67) ! [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))
% 29.12/7.74 | (68) a_select2(xinit_mean_defuse, n5) = use
% 29.12/7.74 | (69) ~ (def = use)
% 29.12/7.74 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 29.12/7.74 | (71) gt(n4, n0) = 0
% 29.12/7.74 | (72) a_select2(xinit_noise_defuse, n5) = use
% 29.12/7.74 | (73) a_select2(xinit_defuse, n3) = use
% 29.12/7.74 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 29.12/7.74 | (75) gt(n998, n0) = 0
% 29.12/7.74 | (76) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 29.12/7.75 | (77) a_select2(sigma_defuse, n2) = use
% 29.12/7.75 | (78) a_select2(xinit_noise_defuse, n3) = use
% 29.12/7.75 | (79) gt(n3, n2) = 0
% 29.12/7.75 | (80) ? [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))))
% 29.12/7.75 | (81) a_select2(sigma_defuse, n1) = use
% 29.12/7.75 | (82) gt(n998, n1) = 0
% 29.12/7.75 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 29.12/7.75 | (84) gt(n4, n1) = 0
% 29.12/7.75 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 29.12/7.75 | (86) a_select2(sigma_defuse, n3) = use
% 29.12/7.75 | (87) ? [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))))
% 29.12/7.75 | (88) gt(n998, n2) = 0
% 29.12/7.75 | (89) gt(n5, n2) = 0
% 29.12/7.75 | (90) a_select3(u_defuse, n1, n0) = use
% 29.12/7.75 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 29.12/7.75 | (92) a_select2(sigma_defuse, n0) = use
% 29.12/7.75 | (93) gt(n3, tptp_minus_1) = 0
% 29.12/7.75 | (94) ? [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))
% 29.12/7.75 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 29.12/7.75 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 29.12/7.75 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 29.12/7.75 | (98) gt(n3, n0) = 0
% 29.12/7.75 | (99) ! [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)))))
% 29.12/7.75 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 29.12/7.75 | (101) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 29.12/7.75 | (102) a_select2(xinit_noise_defuse, n4) = use
% 29.12/7.75 | (103) a_select2(xinit_defuse, n4) = use
% 29.12/7.75 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 29.12/7.75 | (105) a_select2(xinit_noise_defuse, n0) = use
% 29.12/7.75 | (106) gt(n5, n4) = 0
% 29.12/7.75 | (107) a_select2(xinit_mean_defuse, n1) = use
% 29.12/7.75 | (108) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 29.12/7.75 | (109) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 29.12/7.75 | (110) gt(n998, n3) = 0
% 29.12/7.75 | (111) ? [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))
% 29.12/7.75 | (112) a_select3(u_defuse, n2, n0) = use
% 29.12/7.75 | (113) a_select2(xinit_mean_defuse, n3) = use
% 29.12/7.75 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 29.12/7.75 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 29.12/7.75 | (116) succ(n1) = n2
% 29.12/7.75 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 29.12/7.75 | (118) gt(n4, n2) = 0
% 29.12/7.75 | (119) ? [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))))
% 29.12/7.75 | (120) ? [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))))
% 29.12/7.76 | (121) ? [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))))
% 29.12/7.76 | (122) succ(tptp_minus_1) = n0
% 29.12/7.76 | (123) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 29.12/7.76 | (124) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 29.12/7.76 | (125) gt(n2, n1) = 0
% 29.12/7.76 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 29.12/7.76 | (127) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 29.12/7.76 | (128) a_select2(rho_defuse, all_0_1_1) = all_0_0_0
% 29.12/7.76 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 29.12/7.76 | (130) gt(n998, n4) = 0
% 29.12/7.76 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 29.12/7.76 | (132) gt(n5, n1) = 0
% 29.12/7.76 | (133) gt(n2, tptp_minus_1) = 0
% 29.12/7.76 | (134) ! [v0] : ~ (gt(v0, v0) = 0)
% 29.12/7.76 | (135) succ(n2) = n3
% 29.12/7.76 | (136) gt(n1, n0) = 0
% 29.12/7.76 | (137) succ(n4) = n5
% 29.12/7.76 | (138) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 29.12/7.76 | (139) a_select2(xinit_noise_defuse, n1) = use
% 29.12/7.76 | (140) ! [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))))
% 29.12/7.76 | (141) a_select2(xinit_mean_defuse, n0) = use
% 29.12/7.76 | (142) a_select2(rho_defuse, n0) = use
% 29.12/7.76 | (143) gt(n2, n0) = 0
% 29.12/7.76 | (144) leq(n0, all_0_1_1) = 0
% 29.12/7.76 | (145) gt(n998, tptp_minus_1) = 0
% 29.12/7.76 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 29.12/7.76 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 29.12/7.76 | (148) succ(n3) = n4
% 29.12/7.76 | (149) ? [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))))
% 29.12/7.76 | (150) ? [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))))
% 29.12/7.76 | (151) a_select2(xinit_mean_defuse, n4) = use
% 29.12/7.76 | (152) gt(n5, n3) = 0
% 29.12/7.76 |
% 29.12/7.76 | Instantiating formula (32) with rho_defuse, n2, use, all_0_0_0 and discharging atoms a_select2(rho_defuse, n2) = use, yields:
% 29.12/7.76 | (153) all_0_0_0 = use | ~ (a_select2(rho_defuse, n2) = all_0_0_0)
% 29.12/7.76 |
% 29.12/7.76 | Instantiating formula (32) with rho_defuse, n1, use, all_0_0_0 and discharging atoms a_select2(rho_defuse, n1) = use, yields:
% 29.12/7.76 | (154) all_0_0_0 = use | ~ (a_select2(rho_defuse, n1) = all_0_0_0)
% 29.12/7.76 |
% 29.12/7.76 | Instantiating formula (32) with rho_defuse, n0, use, all_0_0_0 and discharging atoms a_select2(rho_defuse, n0) = use, yields:
% 29.12/7.76 | (155) all_0_0_0 = use | ~ (a_select2(rho_defuse, n0) = all_0_0_0)
% 29.12/7.76 |
% 29.12/7.76 | Instantiating formula (26) with all_0_1_1 and discharging atoms leq(all_0_1_1, n2) = 0, yields:
% 29.12/7.76 | (156) all_0_1_1 = n2 | all_0_1_1 = n1 | all_0_1_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0)
% 29.12/7.76 |
% 29.12/7.76 | Instantiating formula (15) with all_0_1_1 and discharging atoms leq(n0, all_0_1_1) = 0, yields:
% 29.12/7.77 | (157) all_0_1_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (155), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (158) ~ (a_select2(rho_defuse, n0) = all_0_0_0)
% 29.12/7.77 |
% 29.12/7.77 | Using (128) and (158) yields:
% 29.12/7.77 | (159) ~ (all_0_1_1 = n0)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (157), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (160) all_0_1_1 = n0
% 29.12/7.77 |
% 29.12/7.77 | Equations (160) can reduce 159 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (159) ~ (all_0_1_1 = n0)
% 29.12/7.77 | (163) ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (153), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (164) ~ (a_select2(rho_defuse, n2) = all_0_0_0)
% 29.12/7.77 |
% 29.12/7.77 | Using (128) and (164) yields:
% 29.12/7.77 | (165) ~ (all_0_1_1 = n2)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (156), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (160) all_0_1_1 = n0
% 29.12/7.77 |
% 29.12/7.77 | Equations (160) can reduce 159 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (159) ~ (all_0_1_1 = n0)
% 29.12/7.77 | (169) all_0_1_1 = n2 | all_0_1_1 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (169), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (170) all_0_1_1 = n2
% 29.12/7.77 |
% 29.12/7.77 | Equations (170) can reduce 165 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (165) ~ (all_0_1_1 = n2)
% 29.12/7.77 | (173) all_0_1_1 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0)
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (173), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (174) all_0_1_1 = n1
% 29.12/7.77 |
% 29.12/7.77 | From (174) and (128) follows:
% 29.12/7.77 | (175) a_select2(rho_defuse, n1) = all_0_0_0
% 29.12/7.77 |
% 29.12/7.77 +-Applying beta-rule and splitting (154), into two cases.
% 29.12/7.77 |-Branch one:
% 29.12/7.77 | (176) ~ (a_select2(rho_defuse, n1) = all_0_0_0)
% 29.12/7.77 |
% 29.12/7.77 | Using (175) and (176) yields:
% 29.12/7.77 | (177) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (175) a_select2(rho_defuse, n1) = all_0_0_0
% 29.12/7.77 | (179) all_0_0_0 = use
% 29.12/7.77 |
% 29.12/7.77 | Equations (179) can reduce 56 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (181) ~ (all_0_1_1 = n1)
% 29.12/7.77 | (182) ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0)
% 29.12/7.77 |
% 29.12/7.77 | Instantiating (182) with all_412_0_59 yields:
% 29.12/7.77 | (183) ~ (all_412_0_59 = 0) & leq(n0, all_0_1_1) = all_412_0_59
% 29.12/7.77 |
% 29.12/7.77 | Applying alpha-rule on (183) yields:
% 29.12/7.77 | (184) ~ (all_412_0_59 = 0)
% 29.12/7.77 | (185) leq(n0, all_0_1_1) = all_412_0_59
% 29.12/7.77 |
% 29.12/7.77 | Instantiating formula (24) with n0, all_0_1_1, all_412_0_59, 0 and discharging atoms leq(n0, all_0_1_1) = all_412_0_59, leq(n0, all_0_1_1) = 0, yields:
% 29.12/7.77 | (186) all_412_0_59 = 0
% 29.12/7.77 |
% 29.12/7.77 | Equations (186) can reduce 184 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (188) a_select2(rho_defuse, n2) = all_0_0_0
% 29.12/7.77 | (179) all_0_0_0 = use
% 29.12/7.77 |
% 29.12/7.77 | Equations (179) can reduce 56 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 |-Branch two:
% 29.12/7.77 | (191) a_select2(rho_defuse, n0) = all_0_0_0
% 29.12/7.77 | (179) all_0_0_0 = use
% 29.12/7.77 |
% 29.12/7.77 | Equations (179) can reduce 56 to:
% 29.12/7.77 | (161) $false
% 29.12/7.77 |
% 29.12/7.77 |-The branch is then unsatisfiable
% 29.12/7.77 % SZS output end Proof for theBenchmark
% 29.12/7.77
% 29.12/7.77 7091ms
%------------------------------------------------------------------------------