TSTP Solution File: SWV202+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n013.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 31.66s 8.49s
% Output : Proof 46.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 16:52:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.65/0.64 ____ _
% 0.65/0.64 ___ / __ \_____(_)___ ________ __________
% 0.65/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.65/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.65/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.65/0.64
% 0.65/0.64 A Theorem Prover for First-Order Logic
% 0.65/0.64 (ePrincess v.1.0)
% 0.65/0.64
% 0.65/0.64 (c) Philipp Rümmer, 2009-2015
% 0.65/0.64 (c) Peter Backeman, 2014-2015
% 0.65/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.64 Bug reports to peter@backeman.se
% 0.65/0.64
% 0.65/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.64
% 0.65/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.71 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.24/1.14 Prover 0: Preprocessing ...
% 4.21/1.62 Prover 0: Warning: ignoring some quantifiers
% 4.35/1.66 Prover 0: Constructing countermodel ...
% 20.79/6.00 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.39/6.16 Prover 1: Preprocessing ...
% 22.18/6.37 Prover 1: Warning: ignoring some quantifiers
% 22.18/6.37 Prover 1: Constructing countermodel ...
% 29.15/7.94 Prover 1: gave up
% 29.15/7.95 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 29.15/7.99 Prover 2: Preprocessing ...
% 29.99/8.14 Prover 2: Warning: ignoring some quantifiers
% 29.99/8.15 Prover 2: Constructing countermodel ...
% 31.66/8.49 Prover 2: proved (546ms)
% 31.66/8.49 Prover 0: stopped
% 31.66/8.49
% 31.66/8.49 No countermodel exists, formula is valid
% 31.66/8.49 % SZS status Theorem for theBenchmark
% 31.66/8.49
% 31.66/8.49 Generating proof ... Warning: ignoring some quantifiers
% 44.96/12.10 found it (size 111)
% 44.96/12.10
% 44.96/12.10 % SZS output start Proof for theBenchmark
% 44.96/12.10 Assumed formulas after preprocessing and simplification:
% 44.96/12.10 | (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(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(pv5, 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, v24, v23) = 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) | (v26 = v25 & a_select3(v22, v23, v24) = v25) | ( ~ (v26 = 0) & leq(v24, v4) = v26) | ( ~ (v26 = 0) & leq(v23, v4) = v26) | ( ~ (v26 = 0) & leq(n0, v24) = v26) | ( ~ (v26 = 0) & leq(n0, v23) = v26))) & ? [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) | (v26 = v25 & a_select3(v22, v24, v23) = v25) | ( ~ (v26 = 0) & leq(v24, v4) = v26) | ( ~ (v26 = 0) & leq(v23, v4) = v26) | ( ~ (v26 = 0) & leq(n0, v24) = v26) | ( ~ (v26 = 0) & leq(n0, v23) = v26))) & ! [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] : (( ~ (v15 = 0) & leq(v8, v7) = v15) | ( ~ (v15 = 0) & leq(v7, v9) = v15) | ( ~ (v15 = 0) & leq(v5, v4) = v15) | ( ~ (v15 = 0) & leq(v4, v6) = v15))) & ? [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, v12, v11) = 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) | (v14 = v13 & a_select3(v10, v11, v12) = v13) | ( ~ (v14 = 0) & leq(v12, v4) = v14) | ( ~ (v14 = 0) & leq(v11, v4) = v14) | ( ~ (v14 = 0) & leq(n0, v12) = v14) | ( ~ (v14 = 0) & leq(n0, v11) = v14))) & ? [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) | (v14 = v13 & a_select3(v10, v12, v11) = v13) | ( ~ (v14 = 0) & leq(v12, v4) = v14) | ( ~ (v14 = 0) & leq(v11, v4) = v14) | ( ~ (v14 = 0) & leq(n0, v12) = v14) | ( ~ (v14 = 0) & leq(n0, v11) = v14))) & ? [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, v11, v10) = 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) | (v13 = v12 & a_select3(v9, v10, v11) = v12) | ( ~ (v13 = 0) & leq(v11, v4) = v13) | ( ~ (v13 = 0) & leq(v10, v4) = v13) | ( ~ (v13 = 0) & leq(n0, v11) = v13) | ( ~ (v13 = 0) & leq(n0, v10) = 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) | (v13 = v12 & a_select3(v9, v11, v10) = v12) | ( ~ (v13 = 0) & leq(v11, v4) = v13) | ( ~ (v13 = 0) & leq(v10, v4) = v13) | ( ~ (v13 = 0) & leq(n0, v11) = v13) | ( ~ (v13 = 0) & leq(n0, v10) = v13))) & ! [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) | ( ~ (v12 = 0) & leq(v5, v7) = v12) | ( ~ (v12 = 0) & leq(v4, v6) = v12) | ( ~ (v12 = 0) & leq(n0, v5) = v12) | ( ~ (v12 = 0) & leq(n0, v4) = v12))) & ? [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, v7, v6) = 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) | (v12 = v11 & a_select3(v10, v6, v7) = v11) | ( ~ (v12 = 0) & leq(v8, v4) = v12) | ( ~ (v12 = 0) & leq(v7, v4) = v12) | ( ~ (v12 = 0) & leq(v6, v4) = v12) | ( ~ (v12 = 0) & leq(n0, v8) = v12) | ( ~ (v12 = 0) & leq(n0, v7) = v12) | ( ~ (v12 = 0) & leq(n0, 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) | (v12 = v11 & a_select3(v10, v7, v6) = v11) | ( ~ (v12 = 0) & leq(v8, v4) = v12) | ( ~ (v12 = 0) & leq(v7, v4) = v12) | ( ~ (v12 = 0) & leq(v6, v4) = v12) | ( ~ (v12 = 0) & leq(n0, v8) = v12) | ( ~ (v12 = 0) & leq(n0, v7) = v12) | ( ~ (v12 = 0) & leq(n0, v6) = v12))) & ! [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] : (( ~ (v11 = 0) & leq(v5, v4) = v11) | ( ~ (v11 = 0) & leq(v4, v6) = v11))) & ? [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, v9, v8) = 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) | (v11 = v10 & a_select3(v7, v8, v9) = v10) | ( ~ (v11 = 0) & leq(v9, v4) = v11) | ( ~ (v11 = 0) & leq(v8, v4) = v11) | ( ~ (v11 = 0) & leq(n0, v9) = v11) | ( ~ (v11 = 0) & leq(n0, v8) = 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) | (v11 = v10 & a_select3(v7, v9, v8) = v10) | ( ~ (v11 = 0) & leq(v9, v4) = v11) | ( ~ (v11 = 0) & leq(v8, v4) = v11) | ( ~ (v11 = 0) & leq(n0, v9) = v11) | ( ~ (v11 = 0) & leq(n0, v8) = v11))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (tptp_madd(v5, v6) = v7) | ~ (a_select3(v7, v9, v8) = 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) | (v11 = v10 & a_select3(v7, v8, v9) = v10) | ( ~ (v11 = 0) & leq(v9, v4) = v11) | ( ~ (v11 = 0) & leq(v8, v4) = v11) | ( ~ (v11 = 0) & leq(n0, v9) = v11) | ( ~ (v11 = 0) & leq(n0, v8) = v11))) & ? [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) | (v11 = v10 & a_select3(v7, v9, v8) = v10) | ( ~ (v11 = 0) & leq(v9, v4) = v11) | ( ~ (v11 = 0) & leq(v8, v4) = v11) | ( ~ (v11 = 0) & leq(n0, v9) = v11) | ( ~ (v11 = 0) & leq(n0, v8) = v11))) & ! [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) | ( ~ (v10 = 0) & leq(v4, v5) = v10) | ( ~ (v10 = 0) & leq(n0, v4) = v10))) & ! [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, v8, v7) = 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) | (v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v10 = 0) & leq(v8, v4) = v10) | ( ~ (v10 = 0) & leq(v7, v4) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ? [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) | (v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v10 = 0) & leq(v8, v4) = v10) | ( ~ (v10 = 0) & leq(v7, v4) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ? [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (trans(v5) = v6) | ~ (a_select3(v6, v8, v7) = 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) | (v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v10 = 0) & leq(v8, v4) = v10) | ( ~ (v10 = 0) & leq(v7, v4) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ? [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) | (v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v10 = 0) & leq(v8, v4) = v10) | ( ~ (v10 = 0) & leq(v7, v4) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ! [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] : ! [v8] : ( ~ (tptp_update3(v4, v5, v6, v7) = v8) | a_select3(v8, v5, v6) = v7) & ! [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(v5, v6) = 0) | ~ (leq(v4, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & leq(v4, v5) = 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(v5, v6) = 0) | ~ (gt(v4, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & gt(v4, v5) = 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] : ( ~ (tptp_update2(v4, v5, v6) = v7) | a_select2(v7, v5) = v6) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (succ(v5) = v7) | ~ (succ(v4) = v6) | ~ (leq(v6, v7) = 0) | leq(v4, v5) = 0) & ! [v4] : ! [v5] : ! [v6] : (v6 = use | ~ (a_select3(z_defuse, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, n2) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = use | ~ (a_select3(u_defuse, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, n2) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = v4 | ~ (gt(v5, v4) = v6) | gt(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 | ~ (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] : (v6 = 0 | ~ (leq(v5, v4) = v6) | ? [v7] : ( ~ (v7 = 0) & geq(v4, v5) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (leq(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & succ(v5) = v8 & succ(v4) = v7 & leq(v7, v8) = v9)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (leq(v4, v5) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & succ(v5) = v7 & gt(v7, v4) = v8)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (leq(v4, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & gt(v5, v4) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (gt(v5, v4) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & succ(v4) = v7 & leq(v7, v5) = v8)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (gt(v5, v4) = v6) | ? [v7] : ? [v8] : ( ~ (v8 = 0) & pred(v5) = v7 & leq(v4, v7) = v8)) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (gt(v5, v4) = v6) | ? [v7] : ( ~ (v7 = 0) & lt(v4, v5) = 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) | ? [v7] : ((v7 = 0 & leq(n0, v5) = 0) | ( ~ (v7 = 0) & leq(v6, v4) = v7))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (uniform_int_rnd(v5, v4) = v6) | ? [v7] : ((v7 = 0 & leq(v6, v4) = 0) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (uniform_int_rnd(v5, v4) = v6) | ? [v7] : ((v7 = 0 & leq(n0, v6) = 0) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ! [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] : ! [v6] : ( ~ (leq(v5, v6) = 0) | ~ (leq(v4, v5) = 0) | leq(v4, v6) = 0) & ! [v4] : ! [v5] : ! [v6] : ( ~ (gt(v5, v6) = 0) | ~ (gt(v4, v5) = 0) | gt(v4, v6) = 0) & ! [v4] : ! [v5] : (v5 = v4 | ~ (leq(v4, v5) = 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) | plus(v4, n1) = v5) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | plus(n1, v4) = v5) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | pred(v5) = v4) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | gt(v5, v4) = 0) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (plus(v4, n5) = v6 & succ(v9) = v6 & succ(v8) = v9 & succ(v7) = v8 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (plus(n5, v4) = v6 & succ(v9) = v6 & succ(v8) = v9 & succ(v7) = v8 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (plus(v4, n4) = v6 & succ(v8) = v6 & succ(v7) = v8 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (plus(n4, v4) = v6 & succ(v8) = v6 & succ(v7) = v8 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : (plus(v4, n3) = v6 & succ(v7) = v6 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : ? [v7] : (plus(n3, v4) = v6 & succ(v7) = v6 & succ(v5) = v7)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : (plus(v4, n2) = v6 & succ(v5) = v6)) & ! [v4] : ! [v5] : ( ~ (succ(v4) = v5) | ? [v6] : (plus(n2, v4) = v6 & succ(v5) = v6)) & ! [v4] : ! [v5] : ( ~ (pred(v4) = v5) | minus(v4, n1) = v5) & ! [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, v4) = 0) | geq(v4, v5) = 0) & ! [v4] : ! [v5] : ( ~ (leq(v4, v5) = 0) | ? [v6] : ? [v7] : (succ(v5) = v7 & succ(v4) = v6 & leq(v6, v7) = 0)) & ! [v4] : ! [v5] : ( ~ (leq(v4, v5) = 0) | ? [v6] : (succ(v5) = v6 & leq(v4, v6) = 0)) & ! [v4] : ! [v5] : ( ~ (leq(v4, v5) = 0) | ? [v6] : (succ(v5) = v6 & gt(v6, v4) = 0)) & ! [v4] : ! [v5] : ( ~ (gt(v5, v4) = 0) | lt(v4, v5) = 0) & ! [v4] : ! [v5] : ( ~ (gt(v5, v4) = 0) | leq(v4, v5) = 0) & ! [v4] : ! [v5] : ( ~ (gt(v5, v4) = 0) | ? [v6] : (pred(v5) = v6 & leq(v4, v6) = 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 = n5 | v4 = n4 | v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n5) = 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 = n4 | v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n4) = v5)) & ! [v4] : (v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n3) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n3 | v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n3) = v5)) & ! [v4] : (v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(v4, n2) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n2 | v4 = n1 | v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n2) = v5)) & ! [v4] : (v4 = n1 | v4 = n0 | ~ (leq(v4, n1) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(n0, v4) = v5)) & ! [v4] : (v4 = n1 | v4 = n0 | ~ (leq(n0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leq(v4, n1) = v5)) & ! [v4] : (v4 = n0 | ~ (leq(v4, n0) = 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) & ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : tptp_update3(v7, v6, v5, v4) = v8 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : tptp_update2(v6, v5, v4) = v7 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : sum(v6, v5, v4) = v7 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : tptp_const_array2(v6, v5, v4) = v7 & ? [v4] : ? [v5] : ? [v6] : ? [v7] : a_select3(v6, v5, v4) = v7 & ? [v4] : ? [v5] : ? [v6] : minus(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : plus(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : tptp_mmul(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : tptp_msub(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : tptp_madd(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : dim(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : tptp_const_array1(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : a_select2(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : uniform_int_rnd(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : geq(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : lt(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : leq(v5, v4) = v6 & ? [v4] : ? [v5] : ? [v6] : gt(v5, v4) = v6 & ? [v4] : ? [v5] : inv(v4) = v5 & ? [v4] : ? [v5] : trans(v4) = v5 & ? [v4] : ? [v5] : succ(v4) = v5 & ? [v4] : ? [v5] : pred(v4) = v5 & ( ~ (v2 = pv5) | ~ (v1 = n2)) & ( ~ (v2 = pv5) | ~ (v1 = n1)) & ( ~ (v2 = pv5) | ~ (v1 = n0)))
% 45.33/12.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 45.33/12.19 | (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(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(pv5, 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, v20, v19) = 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) | (v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v22 = 0) & leq(v20, v0) = v22) | ( ~ (v22 = 0) & leq(v19, v0) = v22) | ( ~ (v22 = 0) & leq(n0, v20) = v22) | ( ~ (v22 = 0) & leq(n0, v19) = v22))) & ? [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) | (v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v22 = 0) & leq(v20, v0) = v22) | ( ~ (v22 = 0) & leq(v19, v0) = v22) | ( ~ (v22 = 0) & leq(n0, v20) = v22) | ( ~ (v22 = 0) & leq(n0, v19) = v22))) & ! [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] : (( ~ (v11 = 0) & leq(v4, v3) = v11) | ( ~ (v11 = 0) & leq(v3, v5) = v11) | ( ~ (v11 = 0) & leq(v1, v0) = v11) | ( ~ (v11 = 0) & leq(v0, v2) = v11))) & ? [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, v8, v7) = 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) | (v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v10 = 0) & leq(v8, v0) = v10) | ( ~ (v10 = 0) & leq(v7, v0) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ? [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) | (v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v10 = 0) & leq(v8, v0) = v10) | ( ~ (v10 = 0) & leq(v7, v0) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10))) & ? [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, v7, v6) = 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) | (v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v9 = 0) & leq(v7, v0) = v9) | ( ~ (v9 = 0) & leq(v6, v0) = v9) | ( ~ (v9 = 0) & leq(n0, v7) = v9) | ( ~ (v9 = 0) & leq(n0, v6) = 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) | (v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v9 = 0) & leq(v7, v0) = v9) | ( ~ (v9 = 0) & leq(v6, v0) = v9) | ( ~ (v9 = 0) & leq(n0, v7) = v9) | ( ~ (v9 = 0) & leq(n0, v6) = v9))) & ! [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) | ( ~ (v8 = 0) & leq(v1, v3) = v8) | ( ~ (v8 = 0) & leq(v0, v2) = v8) | ( ~ (v8 = 0) & leq(n0, v1) = v8) | ( ~ (v8 = 0) & leq(n0, v0) = v8))) & ? [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, v3, v2) = 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) | (v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v8 = 0) & leq(v4, v0) = v8) | ( ~ (v8 = 0) & leq(v3, v0) = v8) | ( ~ (v8 = 0) & leq(v2, v0) = v8) | ( ~ (v8 = 0) & leq(n0, v4) = v8) | ( ~ (v8 = 0) & leq(n0, v3) = v8) | ( ~ (v8 = 0) & leq(n0, 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) | (v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v8 = 0) & leq(v4, v0) = v8) | ( ~ (v8 = 0) & leq(v3, v0) = v8) | ( ~ (v8 = 0) & leq(v2, v0) = v8) | ( ~ (v8 = 0) & leq(n0, v4) = v8) | ( ~ (v8 = 0) & leq(n0, v3) = v8) | ( ~ (v8 = 0) & leq(n0, v2) = v8))) & ! [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] : (( ~ (v7 = 0) & leq(v1, v0) = v7) | ( ~ (v7 = 0) & leq(v0, v2) = v7))) & ? [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, v5, v4) = 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) | (v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = 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) | (v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v5, v4) = 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) | (v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ? [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) | (v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7))) & ! [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) | ( ~ (v6 = 0) & leq(v0, v1) = v6) | ( ~ (v6 = 0) & leq(n0, v0) = v6))) & ! [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, v4, v3) = 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) | (v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6))) & ? [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) | (v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v4, v3) = 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) | (v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6))) & ? [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) | (v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6))) & ! [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] : ! [v4] : ( ~ (tptp_update3(v0, v1, v2, v3) = v4) | a_select3(v4, v1, v2) = v3) & ! [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(v1, v2) = 0) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = 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(v1, v2) = 0) | ~ (gt(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v0, v1) = 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] : ( ~ (tptp_update2(v0, v1, v2) = v3) | a_select2(v3, v1) = v2) & ! [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] : (( ~ (v3 = 0) & leq(v1, all_0_3_3) = v3) | ( ~ (v3 = 0) & leq(v0, n2) = v3) | ( ~ (v3 = 0) & leq(n0, v1) = v3) | ( ~ (v3 = 0) & leq(n0, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(u_defuse, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & leq(v1, all_0_3_3) = v3) | ( ~ (v3 = 0) & leq(v0, n2) = v3) | ( ~ (v3 = 0) & leq(n0, v1) = v3) | ( ~ (v3 = 0) & leq(n0, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | gt(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 | ~ (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] : (v2 = 0 | ~ (leq(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & geq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & succ(v1) = v4 & succ(v0) = v3 & leq(v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & succ(v1) = v3 & gt(v3, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & succ(v0) = v3 & leq(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & pred(v1) = v3 & leq(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & lt(v0, v1) = 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) | ? [v3] : ((v3 = 0 & leq(n0, v1) = 0) | ( ~ (v3 = 0) & leq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ((v3 = 0 & leq(v2, v0) = 0) | ( ~ (v3 = 0) & leq(n0, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ((v3 = 0 & leq(n0, v2) = 0) | ( ~ (v3 = 0) & leq(n0, v0) = v3))) & ! [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] : ! [v2] : ( ~ (leq(v1, v2) = 0) | ~ (leq(v0, v1) = 0) | leq(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v1, v2) = 0) | ~ (gt(v0, v1) = 0) | gt(v0, v2) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 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) | plus(v0, n1) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(n1, v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(v0, n5) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(n5, v0) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(v0, n2) = v2 & succ(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(n2, v0) = v2 & succ(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | minus(v0, n1) = v1) & ! [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, v0) = 0) | geq(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : ? [v3] : (succ(v1) = v3 & succ(v0) = v2 & leq(v2, v3) = 0)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : (succ(v1) = v2 & leq(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : (succ(v1) = v2 & gt(v2, v0) = 0)) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | lt(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | ? [v2] : (pred(v1) = v2 & leq(v0, v2) = 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 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n5) = 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 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n4) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n3) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n2) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n1) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(v0, n0) = 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) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : tptp_update3(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : tptp_update2(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : sum(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : tptp_const_array2(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : a_select3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : minus(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : plus(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : tptp_mmul(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : tptp_msub(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : tptp_madd(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : dim(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : tptp_const_array1(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : a_select2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : uniform_int_rnd(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : geq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : lt(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : gt(v1, v0) = v2 & ? [v0] : ? [v1] : inv(v0) = v1 & ? [v0] : ? [v1] : trans(v0) = v1 & ? [v0] : ? [v1] : succ(v0) = v1 & ? [v0] : ? [v1] : pred(v0) = v1 & ( ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n2)) & ( ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n1)) & ( ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n0))
% 45.74/12.22 |
% 45.74/12.22 | Applying alpha-rule on (1) yields:
% 45.74/12.22 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 45.74/12.23 | (3) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 45.74/12.23 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 45.74/12.23 | (5) a_select3(u_defuse, n1, n0) = use
% 45.74/12.23 | (6) a_select3(u_defuse, n0, n0) = use
% 45.74/12.23 | (7) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n5) = v1))
% 45.74/12.23 | (8) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 45.74/12.23 | (9) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n3) = v1))
% 45.74/12.23 | (10) ! [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] : (( ~ (v7 = 0) & leq(v1, v0) = v7) | ( ~ (v7 = 0) & leq(v0, v2) = v7)))
% 45.74/12.23 | (11) gt(n5, n2) = 0
% 45.74/12.23 | (12) leq(all_0_2_2, n2) = 0
% 45.74/12.23 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ? [v3] : ((v3 = 0 & leq(n0, v1) = 0) | ( ~ (v3 = 0) & leq(v2, v0) = v3)))
% 45.74/12.23 | (14) leq(n0, all_0_1_1) = 0
% 45.74/12.23 | (15) gt(pv5, n0) = 0
% 45.74/12.23 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 45.74/12.23 | (17) ? [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, v7, v6) = 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) | (v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v9 = 0) & leq(v7, v0) = v9) | ( ~ (v9 = 0) & leq(v6, v0) = v9) | ( ~ (v9 = 0) & leq(n0, v7) = v9) | ( ~ (v9 = 0) & leq(n0, v6) = v9)))
% 45.74/12.23 | (18) gt(n3, n2) = 0
% 45.74/12.23 | (19) gt(n3, n0) = 0
% 45.74/12.23 | (20) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | ? [v2] : (pred(v1) = v2 & leq(v0, v2) = 0))
% 45.74/12.23 | (21) gt(n5, n4) = 0
% 45.74/12.23 | (22) ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n0)
% 45.74/12.23 | (23) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.23 | (24) ! [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) | ( ~ (v8 = 0) & leq(v1, v3) = v8) | ( ~ (v8 = 0) & leq(v0, v2) = v8) | ( ~ (v8 = 0) & leq(n0, v1) = v8) | ( ~ (v8 = 0) & leq(n0, v0) = v8)))
% 45.74/12.23 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 45.74/12.23 | (26) a_select2(xinit_noise_defuse, n1) = use
% 45.74/12.23 | (27) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(n2, v0) = v2 & succ(v1) = v2))
% 45.74/12.23 | (28) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 45.74/12.23 | (29) a_select2(xinit_mean_defuse, n2) = use
% 45.74/12.23 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ((v3 = 0 & leq(n0, v2) = 0) | ( ~ (v3 = 0) & leq(n0, v0) = v3)))
% 45.74/12.23 | (31) ? [v0] : ? [v1] : ? [v2] : dim(v1, v0) = v2
% 45.74/12.23 | (32) a_select3(u_defuse, n2, n0) = use
% 45.74/12.23 | (33) a_select2(xinit_mean_defuse, n1) = use
% 45.74/12.23 | (34) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 45.74/12.23 | (35) leq(pv5, n998) = 0
% 45.74/12.23 | (36) gt(n998, n3) = 0
% 45.74/12.23 | (37) a_select2(rho_defuse, n2) = use
% 45.74/12.23 | (38) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 45.74/12.23 | (39) ? [v0] : ? [v1] : ? [v2] : a_select2(v1, v0) = v2
% 45.74/12.23 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 45.74/12.23 | (41) ? [v0] : ? [v1] : ? [v2] : ? [v3] : tptp_update2(v2, v1, v0) = v3
% 45.74/12.24 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 45.74/12.24 | (43) a_select2(rho_defuse, n1) = use
% 45.74/12.24 | (44) ? [v0] : ? [v1] : ? [v2] : uniform_int_rnd(v1, v0) = v2
% 45.74/12.24 | (45) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v3, v2) = 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) | (v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v8 = 0) & leq(v4, v0) = v8) | ( ~ (v8 = 0) & leq(v3, v0) = v8) | ( ~ (v8 = 0) & leq(v2, v0) = v8) | ( ~ (v8 = 0) & leq(n0, v4) = v8) | ( ~ (v8 = 0) & leq(n0, v3) = v8) | ( ~ (v8 = 0) & leq(n0, v2) = v8)))
% 45.74/12.24 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 45.74/12.24 | (47) succ(tptp_minus_1) = n0
% 45.74/12.24 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 45.74/12.24 | (49) ! [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] : (( ~ (v11 = 0) & leq(v4, v3) = v11) | ( ~ (v11 = 0) & leq(v3, v5) = v11) | ( ~ (v11 = 0) & leq(v1, v0) = v11) | ( ~ (v11 = 0) & leq(v0, v2) = v11)))
% 45.74/12.24 | (50) a_select2(sigma_defuse, n2) = use
% 45.74/12.24 | (51) gt(n998, n2) = 0
% 45.74/12.24 | (52) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : (succ(v1) = v2 & leq(v0, v2) = 0))
% 45.74/12.24 | (53) ! [v0] : ~ (gt(v0, v0) = 0)
% 45.74/12.24 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 45.74/12.24 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 45.74/12.24 | (56) ? [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) | (v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v9 = 0) & leq(v7, v0) = v9) | ( ~ (v9 = 0) & leq(v6, v0) = v9) | ( ~ (v9 = 0) & leq(n0, v7) = v9) | ( ~ (v9 = 0) & leq(n0, v6) = v9)))
% 45.74/12.24 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 45.74/12.24 | (58) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.24 | (59) ? [v0] : ? [v1] : ? [v2] : ? [v3] : tptp_const_array2(v2, v1, v0) = v3
% 45.74/12.24 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 45.74/12.24 | (61) ? [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) | (v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v22 = 0) & leq(v20, v0) = v22) | ( ~ (v22 = 0) & leq(v19, v0) = v22) | ( ~ (v22 = 0) & leq(n0, v20) = v22) | ( ~ (v22 = 0) & leq(n0, v19) = v22)))
% 45.74/12.25 | (62) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 45.74/12.25 | (63) leq(n0, all_0_2_2) = 0
% 45.74/12.25 | (64) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 45.74/12.25 | (65) gt(n5, n1) = 0
% 45.74/12.25 | (66) ! [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) | ( ~ (v6 = 0) & leq(v0, v1) = v6) | ( ~ (v6 = 0) & leq(n0, v0) = v6)))
% 45.74/12.25 | (67) gt(n3, n1) = 0
% 45.74/12.25 | (68) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.25 | (69) gt(n5, tptp_minus_1) = 0
% 45.74/12.25 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 45.74/12.25 | (71) gt(n2, n1) = 0
% 45.74/12.25 | (72) ? [v0] : ? [v1] : ? [v2] : tptp_const_array1(v1, v0) = v2
% 45.74/12.25 | (73) succ(n3) = n4
% 45.74/12.25 | (74) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(v0, n5) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3))
% 45.74/12.25 | (75) gt(n2, n0) = 0
% 45.74/12.25 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (tptp_update2(v0, v1, v2) = v3) | a_select2(v3, v1) = v2)
% 45.74/12.25 | (77) ? [v0] : ? [v1] : ? [v2] : tptp_msub(v1, v0) = v2
% 45.74/12.25 | (78) gt(n4, n1) = 0
% 45.74/12.25 | (79) gt(n4, n0) = 0
% 45.74/12.25 | (80) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & succ(v1) = v3 & gt(v3, v0) = v4))
% 45.74/12.25 | (81) a_select2(xinit_defuse, n4) = use
% 45.74/12.25 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 45.74/12.25 | (83) a_select2(sigma_defuse, n1) = use
% 45.74/12.25 | (84) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.25 | (85) ? [v0] : ? [v1] : inv(v0) = v1
% 45.74/12.25 | (86) a_select2(xinit_noise_defuse, n3) = use
% 45.74/12.25 | (87) gt(n998, n5) = 0
% 45.74/12.25 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 45.74/12.25 | (89) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | gt(v1, v0) = 0)
% 45.74/12.25 | (90) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v4, v3) = 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) | (v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6)))
% 45.74/12.25 | (91) gt(n1, tptp_minus_1) = 0
% 45.74/12.25 | (92) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v4, v3) = 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) | (v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6)))
% 45.74/12.25 | (93) ? [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) | (v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7)))
% 45.74/12.25 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 45.74/12.25 | (95) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 45.74/12.25 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 45.74/12.25 | (97) ? [v0] : ? [v1] : trans(v0) = v1
% 45.74/12.25 | (98) succ(n1) = n2
% 45.74/12.25 | (99) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & succ(v1) = v4 & succ(v0) = v3 & leq(v3, v4) = v5))
% 45.74/12.25 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 45.74/12.25 | (101) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & lt(v0, v1) = v3))
% 45.74/12.26 | (102) gt(n998, n0) = 0
% 45.74/12.26 | (103) gt(n5, n0) = 0
% 45.74/12.26 | (104) a_select2(sigma_defuse, n3) = use
% 45.74/12.26 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 45.74/12.26 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 45.74/12.26 | (107) a_select2(xinit_noise_defuse, n4) = use
% 45.74/12.26 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 45.74/12.26 | (109) ? [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) | (v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v8 = 0) & leq(v4, v0) = v8) | ( ~ (v8 = 0) & leq(v3, v0) = v8) | ( ~ (v8 = 0) & leq(v2, v0) = v8) | ( ~ (v8 = 0) & leq(n0, v4) = v8) | ( ~ (v8 = 0) & leq(n0, v3) = v8) | ( ~ (v8 = 0) & leq(n0, v2) = v8)))
% 45.74/12.26 | (110) ! [v0] : (v0 = n0 | ~ (leq(v0, n0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.26 | (111) gt(n3, tptp_minus_1) = 0
% 45.74/12.26 | (112) ~ (all_0_0_0 = use)
% 45.74/12.26 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 45.74/12.26 | (114) ? [v0] : ? [v1] : ? [v2] : plus(v1, v0) = v2
% 45.74/12.26 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 45.74/12.26 | (116) gt(n0, tptp_minus_1) = 0
% 45.74/12.26 | (117) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v5, v4) = 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) | (v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7)))
% 45.74/12.26 | (118) ? [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) | (v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7)))
% 45.74/12.26 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tptp_update3(v0, v1, v2, v3) = v4) | a_select3(v4, v1, v2) = v3)
% 45.74/12.26 | (120) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(v0, n1) = v1)
% 45.74/12.26 | (121) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 45.74/12.26 | (122) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & geq(v0, v1) = v3))
% 45.74/12.26 | (123) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | minus(v0, n1) = v1)
% 45.74/12.26 | (124) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 45.74/12.26 | (125) ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2
% 45.74/12.26 | (126) gt(n1, n0) = 0
% 45.74/12.26 | (127) ! [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))
% 45.74/12.26 | (128) ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n1)
% 45.74/12.26 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 45.74/12.26 | (130) ? [v0] : ? [v1] : ? [v2] : gt(v1, v0) = v2
% 45.74/12.26 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 45.74/12.26 | (132) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & pred(v1) = v3 & leq(v0, v3) = v4))
% 45.74/12.26 | (133) gt(n4, n3) = 0
% 45.74/12.26 | (134) gt(n4, n2) = 0
% 45.74/12.26 | (135) ? [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) | (v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6)))
% 45.74/12.26 | (136) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n4) = v1))
% 45.74/12.26 | (137) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (gt(v1, v0) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & succ(v0) = v3 & leq(v3, v1) = v4))
% 45.74/12.26 | (138) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 45.74/12.26 | (139) a_select2(sigma_defuse, n5) = use
% 45.74/12.26 | (140) ? [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) | (v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v6 = 0) & leq(v4, v0) = v6) | ( ~ (v6 = 0) & leq(v3, v0) = v6) | ( ~ (v6 = 0) & leq(n0, v4) = v6) | ( ~ (v6 = 0) & leq(n0, v3) = v6)))
% 45.74/12.26 | (141) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 45.74/12.27 | (142) a_select2(xinit_mean_defuse, n4) = use
% 45.74/12.27 | (143) a_select2(xinit_mean_defuse, n5) = use
% 45.74/12.27 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 45.74/12.27 | (145) ? [v0] : ? [v1] : ? [v2] : lt(v1, v0) = v2
% 45.74/12.27 | (146) leq(all_0_1_1, pv5) = 0
% 45.74/12.27 | (147) ! [v0] : ! [v1] : ! [v2] : ( ~ (leq(v1, v2) = 0) | ~ (leq(v0, v1) = 0) | leq(v0, v2) = 0)
% 45.74/12.27 | (148) ? [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, v8, v7) = 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) | (v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v10 = 0) & leq(v8, v0) = v10) | ( ~ (v10 = 0) & leq(v7, v0) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10)))
% 45.74/12.27 | (149) a_select2(xinit_noise_defuse, n2) = use
% 45.74/12.27 | (150) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 45.74/12.27 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 45.74/12.27 | (152) ? [v0] : ? [v1] : pred(v0) = v1
% 45.74/12.27 | (153) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : tptp_update3(v3, v2, v1, v0) = v4
% 45.74/12.27 | (154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : sum(v2, v1, v0) = v3
% 45.74/12.27 | (155) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : ? [v3] : (succ(v1) = v3 & succ(v0) = v2 & leq(v2, v3) = 0))
% 45.74/12.27 | (156) a_select2(rho_defuse, n0) = use
% 45.74/12.27 | (157) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 45.74/12.27 | (158) a_select2(xinit_noise_defuse, n5) = use
% 45.74/12.27 | (159) succ(n4) = n5
% 45.74/12.27 | (160) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(n5, v0) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3))
% 45.74/12.27 | (161) gt(n998, n4) = 0
% 45.74/12.27 | (162) a_select2(sigma_defuse, n4) = use
% 45.74/12.27 | (163) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | ? [v2] : (succ(v1) = v2 & gt(v2, v0) = 0))
% 45.74/12.27 | (164) ! [v0] : ! [v1] : ! [v2] : ( ~ (gt(v1, v2) = 0) | ~ (gt(v0, v1) = 0) | gt(v0, v2) = 0)
% 45.74/12.27 | (165) gt(n2, tptp_minus_1) = 0
% 45.74/12.27 | (166) gt(n998, n1) = 0
% 45.74/12.27 | (167) ? [v0] : ? [v1] : ? [v2] : tptp_madd(v1, v0) = v2
% 45.74/12.27 | (168) gt(n5, n3) = 0
% 45.74/12.27 | (169) ? [v0] : ? [v1] : ? [v2] : geq(v1, v0) = v2
% 45.74/12.27 | (170) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(n1, v0) = v1)
% 45.74/12.27 | (171) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 45.74/12.27 | (172) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 45.74/12.27 | (173) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | gt(v0, v1) = 0)
% 45.74/12.27 | (174) ? [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, v20, v19) = 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) | (v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v22 = 0) & leq(v20, v0) = v22) | ( ~ (v22 = 0) & leq(v19, v0) = v22) | ( ~ (v22 = 0) & leq(n0, v20) = v22) | ( ~ (v22 = 0) & leq(n0, v19) = v22)))
% 45.74/12.27 | (175) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 45.74/12.27 | (176) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v5, v4) = 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) | (v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v7 = 0) & leq(v5, v0) = v7) | ( ~ (v7 = 0) & leq(v4, v0) = v7) | ( ~ (v7 = 0) & leq(n0, v5) = v7) | ( ~ (v7 = 0) & leq(n0, v4) = v7)))
% 45.74/12.27 | (177) a_select3(u_defuse, all_0_2_2, all_0_1_1) = all_0_0_0
% 45.74/12.27 | (178) ! [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))
% 45.74/12.27 | (179) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ((v3 = 0 & leq(v2, v0) = 0) | ( ~ (v3 = 0) & leq(n0, v0) = v3)))
% 45.74/12.27 | (180) succ(n2) = n3
% 45.74/12.27 | (181) ? [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))
% 45.74/12.27 | (182) a_select2(sigma_defuse, n0) = use
% 45.74/12.27 | (183) gt(n4, tptp_minus_1) = 0
% 45.74/12.27 | (184) succ(n0) = n1
% 45.74/12.27 | (185) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n2) = v1))
% 45.74/12.27 | (186) ! [v0] : ! [v1] : ( ~ (leq(v1, v0) = 0) | geq(v0, v1) = 0)
% 45.74/12.27 | (187) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 45.74/12.27 | (188) true
% 45.74/12.27 | (189) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | lt(v0, v1) = 0)
% 45.74/12.27 | (190) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 45.74/12.27 | (191) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 45.74/12.27 | (192) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 45.74/12.27 | (193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 45.74/12.27 | (194) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 45.74/12.27 | (195) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 45.74/12.28 | (196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v1, v2) = 0) | ~ (gt(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v0, v1) = v4))
% 45.74/12.28 | (197) ? [v0] : ? [v1] : ? [v2] : minus(v1, v0) = v2
% 45.74/12.28 | (198) ~ (all_0_1_1 = pv5) | ~ (all_0_2_2 = n2)
% 45.74/12.28 | (199) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 45.74/12.28 | (200) a_select2(xinit_defuse, n3) = use
% 45.74/12.28 | (201) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 45.74/12.28 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : a_select3(v2, v1, v0) = v3
% 45.74/12.28 | (203) ? [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))
% 45.74/12.28 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 45.74/12.28 | (205) ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(u_defuse, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & leq(v1, all_0_3_3) = v3) | ( ~ (v3 = 0) & leq(v0, n2) = v3) | ( ~ (v3 = 0) & leq(n0, v1) = v3) | ( ~ (v3 = 0) & leq(n0, v0) = v3)))
% 45.74/12.28 | (206) a_select2(xinit_mean_defuse, n3) = use
% 45.74/12.28 | (207) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(v0, n2) = v2 & succ(v1) = v2))
% 45.74/12.28 | (208) a_select2(xinit_noise_defuse, n0) = use
% 45.74/12.28 | (209) ? [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) | (v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v10 = 0) & leq(v8, v0) = v10) | ( ~ (v10 = 0) & leq(v7, v0) = v10) | ( ~ (v10 = 0) & leq(n0, v8) = v10) | ( ~ (v10 = 0) & leq(n0, v7) = v10)))
% 45.74/12.28 | (210) ~ (def = use)
% 45.74/12.28 | (211) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 45.74/12.28 | (212) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n1) = v1))
% 45.74/12.28 | (213) ! [v0] : ! [v1] : (v1 = v0 | ~ (leq(v0, v1) = 0) | gt(v1, v0) = 0)
% 45.74/12.28 | (214) a_select2(xinit_defuse, n5) = use
% 45.74/12.28 | (215) pred(pv5) = all_0_3_3
% 45.74/12.28 | (216) gt(n998, tptp_minus_1) = 0
% 45.74/12.28 | (217) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 45.74/12.28 | (218) ? [v0] : ? [v1] : ? [v2] : tptp_mmul(v1, v0) = v2
% 45.74/12.28 | (219) ! [v0] : ! [v1] : ! [v2] : (v2 = use | ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & leq(v1, all_0_3_3) = v3) | ( ~ (v3 = 0) & leq(v0, n2) = v3) | ( ~ (v3 = 0) & leq(n0, v1) = v3) | ( ~ (v3 = 0) & leq(n0, v0) = v3)))
% 45.74/12.28 | (220) a_select2(xinit_mean_defuse, n0) = use
% 45.74/12.28 | (221) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 45.74/12.28 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 45.74/12.28 | (223) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v1, v2) = 0) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 45.74/12.28 | (224) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 45.74/12.28 | (225) leq(n0, pv5) = 0
% 45.74/12.28 | (226) ? [v0] : ? [v1] : succ(v0) = v1
% 45.74/12.28 | (227) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (205) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms a_select3(u_defuse, all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 45.74/12.28 | (228) all_0_0_0 = use | ? [v0] : (( ~ (v0 = 0) & leq(all_0_1_1, all_0_3_3) = v0) | ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0) | ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0) | ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0))
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (213) with pv5, all_0_1_1 and discharging atoms leq(all_0_1_1, pv5) = 0, yields:
% 45.74/12.28 | (229) all_0_1_1 = pv5 | gt(pv5, all_0_1_1) = 0
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (155) with pv5, all_0_1_1 and discharging atoms leq(all_0_1_1, pv5) = 0, yields:
% 45.74/12.28 | (230) ? [v0] : ? [v1] : (succ(all_0_1_1) = v0 & succ(pv5) = v1 & leq(v0, v1) = 0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (52) with pv5, all_0_1_1 and discharging atoms leq(all_0_1_1, pv5) = 0, yields:
% 45.74/12.28 | (231) ? [v0] : (succ(pv5) = v0 & leq(all_0_1_1, v0) = 0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (147) with n998, pv5, all_0_1_1 and discharging atoms leq(all_0_1_1, pv5) = 0, leq(pv5, n998) = 0, yields:
% 45.74/12.28 | (232) leq(all_0_1_1, n998) = 0
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (9) with all_0_2_2 and discharging atoms leq(n0, all_0_2_2) = 0, yields:
% 45.74/12.28 | (233) all_0_2_2 = n3 | all_0_2_2 = n2 | all_0_2_2 = n1 | all_0_2_2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n3) = v0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (185) with all_0_2_2 and discharging atoms leq(n0, all_0_2_2) = 0, yields:
% 45.74/12.28 | (234) all_0_2_2 = n2 | all_0_2_2 = n1 | all_0_2_2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (211) with all_0_2_2 and discharging atoms leq(n0, all_0_2_2) = 0, yields:
% 45.74/12.28 | (235) all_0_2_2 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n0) = v0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (163) with pv5, n0 and discharging atoms leq(n0, pv5) = 0, yields:
% 45.74/12.28 | (236) ? [v0] : (succ(pv5) = v0 & gt(v0, n0) = 0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating formula (20) with pv5, n0 and discharging atoms gt(pv5, n0) = 0, yields:
% 45.74/12.28 | (237) ? [v0] : (pred(pv5) = v0 & leq(n0, v0) = 0)
% 45.74/12.28 |
% 45.74/12.28 | Instantiating (237) with all_125_0_119 yields:
% 45.74/12.28 | (238) pred(pv5) = all_125_0_119 & leq(n0, all_125_0_119) = 0
% 45.74/12.28 |
% 45.74/12.28 | Applying alpha-rule on (238) yields:
% 45.74/12.28 | (239) pred(pv5) = all_125_0_119
% 45.74/12.28 | (240) leq(n0, all_125_0_119) = 0
% 45.74/12.28 |
% 45.74/12.28 | Instantiating (236) with all_131_0_123 yields:
% 45.74/12.28 | (241) succ(pv5) = all_131_0_123 & gt(all_131_0_123, n0) = 0
% 45.74/12.28 |
% 45.74/12.28 | Applying alpha-rule on (241) yields:
% 45.74/12.28 | (242) succ(pv5) = all_131_0_123
% 45.74/12.28 | (243) gt(all_131_0_123, n0) = 0
% 45.74/12.28 |
% 45.74/12.28 | Instantiating (230) with all_259_0_252, all_259_1_253 yields:
% 45.74/12.28 | (244) succ(all_0_1_1) = all_259_1_253 & succ(pv5) = all_259_0_252 & leq(all_259_1_253, all_259_0_252) = 0
% 45.74/12.28 |
% 45.74/12.28 | Applying alpha-rule on (244) yields:
% 45.74/12.28 | (245) succ(all_0_1_1) = all_259_1_253
% 45.74/12.28 | (246) succ(pv5) = all_259_0_252
% 45.74/12.28 | (247) leq(all_259_1_253, all_259_0_252) = 0
% 45.74/12.28 |
% 45.74/12.28 | Instantiating (231) with all_271_0_260 yields:
% 45.74/12.28 | (248) succ(pv5) = all_271_0_260 & leq(all_0_1_1, all_271_0_260) = 0
% 45.74/12.28 |
% 45.74/12.28 | Applying alpha-rule on (248) yields:
% 45.74/12.28 | (249) succ(pv5) = all_271_0_260
% 45.74/12.28 | (250) leq(all_0_1_1, all_271_0_260) = 0
% 45.74/12.28 |
% 45.74/12.28 +-Applying beta-rule and splitting (228), into two cases.
% 45.74/12.28 |-Branch one:
% 45.74/12.28 | (251) all_0_0_0 = use
% 45.74/12.28 |
% 45.74/12.29 | Equations (251) can reduce 112 to:
% 45.74/12.29 | (252) $false
% 45.74/12.29 |
% 45.74/12.29 |-The branch is then unsatisfiable
% 45.74/12.29 |-Branch two:
% 45.74/12.29 | (112) ~ (all_0_0_0 = use)
% 45.74/12.29 | (254) ? [v0] : (( ~ (v0 = 0) & leq(all_0_1_1, all_0_3_3) = v0) | ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0) | ( ~ (v0 = 0) & leq(n0, all_0_1_1) = v0) | ( ~ (v0 = 0) & leq(n0, all_0_2_2) = v0))
% 45.74/12.29 |
% 45.74/12.29 | Instantiating (254) with all_277_0_261 yields:
% 45.74/12.29 | (255) ( ~ (all_277_0_261 = 0) & leq(all_0_1_1, all_0_3_3) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(all_0_2_2, n2) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(n0, all_0_1_1) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(n0, all_0_2_2) = all_277_0_261)
% 45.74/12.29 |
% 45.74/12.29 +-Applying beta-rule and splitting (255), into two cases.
% 45.74/12.29 |-Branch one:
% 45.74/12.29 | (256) ( ~ (all_277_0_261 = 0) & leq(all_0_1_1, all_0_3_3) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(all_0_2_2, n2) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(n0, all_0_1_1) = all_277_0_261)
% 45.74/12.29 |
% 45.74/12.29 +-Applying beta-rule and splitting (256), into two cases.
% 45.74/12.29 |-Branch one:
% 45.74/12.29 | (257) ( ~ (all_277_0_261 = 0) & leq(all_0_1_1, all_0_3_3) = all_277_0_261) | ( ~ (all_277_0_261 = 0) & leq(all_0_2_2, n2) = all_277_0_261)
% 45.74/12.29 |
% 45.74/12.29 +-Applying beta-rule and splitting (257), into two cases.
% 45.74/12.29 |-Branch one:
% 45.74/12.29 | (258) ~ (all_277_0_261 = 0) & leq(all_0_1_1, all_0_3_3) = all_277_0_261
% 45.74/12.29 |
% 45.74/12.29 | Applying alpha-rule on (258) yields:
% 45.74/12.29 | (259) ~ (all_277_0_261 = 0)
% 45.74/12.29 | (260) leq(all_0_1_1, all_0_3_3) = all_277_0_261
% 45.74/12.29 |
% 45.74/12.29 | Instantiating formula (82) with pv5, all_259_0_252, all_271_0_260 and discharging atoms succ(pv5) = all_271_0_260, succ(pv5) = all_259_0_252, yields:
% 45.74/12.29 | (261) all_271_0_260 = all_259_0_252
% 45.74/12.29 |
% 45.74/12.29 | Instantiating formula (82) with pv5, all_131_0_123, all_271_0_260 and discharging atoms succ(pv5) = all_271_0_260, succ(pv5) = all_131_0_123, yields:
% 45.74/12.29 | (262) all_271_0_260 = all_131_0_123
% 45.74/12.29 |
% 45.74/12.29 | Instantiating formula (129) with pv5, all_125_0_119, all_0_3_3 and discharging atoms pred(pv5) = all_125_0_119, pred(pv5) = all_0_3_3, yields:
% 45.74/12.29 | (263) all_125_0_119 = all_0_3_3
% 45.74/12.29 |
% 45.74/12.29 | Combining equations (262,261) yields a new equation:
% 45.74/12.29 | (264) all_259_0_252 = all_131_0_123
% 45.74/12.29 |
% 45.74/12.29 | Combining equations (264,261) yields a new equation:
% 45.74/12.29 | (262) all_271_0_260 = all_131_0_123
% 45.74/12.29 |
% 45.74/12.29 | From (263) and (239) follows:
% 45.74/12.29 | (215) pred(pv5) = all_0_3_3
% 45.74/12.29 |
% 45.74/12.29 | From (262) and (250) follows:
% 45.74/12.29 | (267) leq(all_0_1_1, all_131_0_123) = 0
% 45.74/12.29 |
% 45.74/12.29 | From (263) and (240) follows:
% 45.74/12.29 | (268) leq(n0, all_0_3_3) = 0
% 45.74/12.29 |
% 45.74/12.29 | Instantiating formula (106) with all_277_0_261, all_0_3_3, pv5, all_0_1_1 and discharging atoms pred(pv5) = all_0_3_3, leq(all_0_1_1, all_0_3_3) = all_277_0_261, yields:
% 46.08/12.29 | (269) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(pv5, all_0_1_1) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (70) with all_277_0_261, all_0_3_3, pv5, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_3_3) = all_277_0_261, leq(all_0_1_1, pv5) = 0, yields:
% 46.08/12.29 | (270) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(pv5, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (70) with all_277_0_261, all_0_3_3, all_131_0_123, all_0_1_1 and discharging atoms leq(all_0_1_1, all_131_0_123) = 0, leq(all_0_1_1, all_0_3_3) = all_277_0_261, yields:
% 46.08/12.29 | (271) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_131_0_123, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (122) with all_277_0_261, all_0_1_1, all_0_3_3 and discharging atoms leq(all_0_1_1, all_0_3_3) = all_277_0_261, yields:
% 46.08/12.29 | (272) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & geq(all_0_3_3, all_0_1_1) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (99) with all_277_0_261, all_0_3_3, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_3_3) = all_277_0_261, yields:
% 46.08/12.29 | (273) all_277_0_261 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & succ(all_0_1_1) = v0 & succ(all_0_3_3) = v1 & leq(v0, v1) = v2)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (70) with all_277_0_261, all_0_3_3, n998, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_3_3) = all_277_0_261, leq(all_0_1_1, n998) = 0, yields:
% 46.08/12.29 | (274) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n998, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (223) with all_277_0_261, all_0_3_3, n0, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_3_3) = all_277_0_261, leq(n0, all_0_3_3) = 0, yields:
% 46.08/12.29 | (275) all_277_0_261 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (275), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (279) ? [v0] : ( ~ (v0 = 0) & leq(all_0_1_1, n0) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (273), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (283) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & succ(all_0_1_1) = v0 & succ(all_0_3_3) = v1 & leq(v0, v1) = v2)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (274), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (287) ? [v0] : ( ~ (v0 = 0) & leq(n998, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (270), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (291) ? [v0] : ( ~ (v0 = 0) & leq(pv5, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (271), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (295) ? [v0] : ( ~ (v0 = 0) & leq(all_131_0_123, all_0_3_3) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (272), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (299) ? [v0] : ( ~ (v0 = 0) & geq(all_0_3_3, all_0_1_1) = v0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (269), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (276) all_277_0_261 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (276) can reduce 259 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.29 | (303) ? [v0] : ( ~ (v0 = 0) & gt(pv5, all_0_1_1) = v0)
% 46.08/12.29 |
% 46.08/12.29 | Instantiating (303) with all_687_0_579 yields:
% 46.08/12.29 | (304) ~ (all_687_0_579 = 0) & gt(pv5, all_0_1_1) = all_687_0_579
% 46.08/12.29 |
% 46.08/12.29 | Applying alpha-rule on (304) yields:
% 46.08/12.29 | (305) ~ (all_687_0_579 = 0)
% 46.08/12.29 | (306) gt(pv5, all_0_1_1) = all_687_0_579
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (229), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (307) gt(pv5, all_0_1_1) = 0
% 46.08/12.29 |
% 46.08/12.29 | Instantiating formula (199) with pv5, all_0_1_1, 0, all_687_0_579 and discharging atoms gt(pv5, all_0_1_1) = all_687_0_579, gt(pv5, all_0_1_1) = 0, yields:
% 46.08/12.29 | (308) all_687_0_579 = 0
% 46.08/12.29 |
% 46.08/12.29 | Equations (308) can reduce 305 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (310) ~ (gt(pv5, all_0_1_1) = 0)
% 46.08/12.29 | (311) all_0_1_1 = pv5
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (22), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (312) ~ (all_0_2_2 = n0)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (128), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (313) ~ (all_0_1_1 = pv5)
% 46.08/12.29 |
% 46.08/12.29 | Equations (311) can reduce 313 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.29 | (311) all_0_1_1 = pv5
% 46.08/12.29 | (316) ~ (all_0_2_2 = n1)
% 46.08/12.29 |
% 46.08/12.29 +-Applying beta-rule and splitting (198), into two cases.
% 46.08/12.29 |-Branch one:
% 46.08/12.29 | (313) ~ (all_0_1_1 = pv5)
% 46.08/12.29 |
% 46.08/12.29 | Equations (311) can reduce 313 to:
% 46.08/12.29 | (252) $false
% 46.08/12.29 |
% 46.08/12.29 |-The branch is then unsatisfiable
% 46.08/12.29 |-Branch two:
% 46.08/12.30 | (311) all_0_1_1 = pv5
% 46.08/12.30 | (320) ~ (all_0_2_2 = n2)
% 46.08/12.30 |
% 46.08/12.30 +-Applying beta-rule and splitting (233), into two cases.
% 46.08/12.30 |-Branch one:
% 46.08/12.30 | (321) all_0_2_2 = n0
% 46.08/12.30 |
% 46.08/12.30 | Equations (321) can reduce 312 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (312) ~ (all_0_2_2 = n0)
% 46.08/12.30 | (324) all_0_2_2 = n3 | all_0_2_2 = n2 | all_0_2_2 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n3) = v0)
% 46.08/12.30 |
% 46.08/12.30 +-Applying beta-rule and splitting (235), into two cases.
% 46.08/12.30 |-Branch one:
% 46.08/12.30 | (321) all_0_2_2 = n0
% 46.08/12.30 |
% 46.08/12.30 | Equations (321) can reduce 312 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (312) ~ (all_0_2_2 = n0)
% 46.08/12.30 | (328) ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n0) = v0)
% 46.08/12.30 |
% 46.08/12.30 +-Applying beta-rule and splitting (234), into two cases.
% 46.08/12.30 |-Branch one:
% 46.08/12.30 | (321) all_0_2_2 = n0
% 46.08/12.30 |
% 46.08/12.30 | Equations (321) can reduce 312 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (312) ~ (all_0_2_2 = n0)
% 46.08/12.30 | (332) all_0_2_2 = n2 | all_0_2_2 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0)
% 46.08/12.30 |
% 46.08/12.30 +-Applying beta-rule and splitting (332), into two cases.
% 46.08/12.30 |-Branch one:
% 46.08/12.30 | (333) all_0_2_2 = n2
% 46.08/12.30 |
% 46.08/12.30 | Equations (333) can reduce 320 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (320) ~ (all_0_2_2 = n2)
% 46.08/12.30 | (336) all_0_2_2 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0)
% 46.08/12.30 |
% 46.08/12.30 +-Applying beta-rule and splitting (336), into two cases.
% 46.08/12.30 |-Branch one:
% 46.08/12.30 | (337) all_0_2_2 = n1
% 46.08/12.30 |
% 46.08/12.30 | Equations (337) can reduce 316 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (316) ~ (all_0_2_2 = n1)
% 46.08/12.30 | (340) ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, n2) = v0)
% 46.08/12.30 |
% 46.08/12.30 | Instantiating (340) with all_744_0_584 yields:
% 46.08/12.30 | (341) ~ (all_744_0_584 = 0) & leq(all_0_2_2, n2) = all_744_0_584
% 46.08/12.30 |
% 46.08/12.30 | Applying alpha-rule on (341) yields:
% 46.08/12.30 | (342) ~ (all_744_0_584 = 0)
% 46.08/12.30 | (343) leq(all_0_2_2, n2) = all_744_0_584
% 46.08/12.30 |
% 46.08/12.30 | Instantiating formula (204) with all_0_2_2, n2, all_744_0_584, 0 and discharging atoms leq(all_0_2_2, n2) = all_744_0_584, leq(all_0_2_2, n2) = 0, yields:
% 46.08/12.30 | (344) all_744_0_584 = 0
% 46.08/12.30 |
% 46.08/12.30 | Equations (344) can reduce 342 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (321) all_0_2_2 = n0
% 46.08/12.30 | (313) ~ (all_0_1_1 = pv5)
% 46.08/12.30 |
% 46.08/12.30 | Equations (311) can reduce 313 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (349) ~ (all_277_0_261 = 0) & leq(all_0_2_2, n2) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Applying alpha-rule on (349) yields:
% 46.08/12.30 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.30 | (351) leq(all_0_2_2, n2) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Instantiating formula (204) with all_0_2_2, n2, all_277_0_261, 0 and discharging atoms leq(all_0_2_2, n2) = all_277_0_261, leq(all_0_2_2, n2) = 0, yields:
% 46.08/12.30 | (276) all_277_0_261 = 0
% 46.08/12.30 |
% 46.08/12.30 | Equations (276) can reduce 259 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (354) ~ (all_277_0_261 = 0) & leq(n0, all_0_1_1) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Applying alpha-rule on (354) yields:
% 46.08/12.30 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.30 | (356) leq(n0, all_0_1_1) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Instantiating formula (204) with n0, all_0_1_1, all_277_0_261, 0 and discharging atoms leq(n0, all_0_1_1) = all_277_0_261, leq(n0, all_0_1_1) = 0, yields:
% 46.08/12.30 | (276) all_277_0_261 = 0
% 46.08/12.30 |
% 46.08/12.30 | Equations (276) can reduce 259 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 |-Branch two:
% 46.08/12.30 | (359) ~ (all_277_0_261 = 0) & leq(n0, all_0_2_2) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Applying alpha-rule on (359) yields:
% 46.08/12.30 | (259) ~ (all_277_0_261 = 0)
% 46.08/12.30 | (361) leq(n0, all_0_2_2) = all_277_0_261
% 46.08/12.30 |
% 46.08/12.30 | Instantiating formula (204) with n0, all_0_2_2, all_277_0_261, 0 and discharging atoms leq(n0, all_0_2_2) = all_277_0_261, leq(n0, all_0_2_2) = 0, yields:
% 46.08/12.30 | (276) all_277_0_261 = 0
% 46.08/12.30 |
% 46.08/12.30 | Equations (276) can reduce 259 to:
% 46.08/12.30 | (252) $false
% 46.08/12.30 |
% 46.08/12.30 |-The branch is then unsatisfiable
% 46.08/12.30 % SZS output end Proof for theBenchmark
% 46.08/12.30
% 46.08/12.30 11645ms
%------------------------------------------------------------------------------