TSTP Solution File: SWV093+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:49:59 EDT 2022
% Result : Theorem 23.95s 7.06s
% Output : Proof 43.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 00:52:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.57 ____ _
% 0.54/0.57 ___ / __ \_____(_)___ ________ __________
% 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.57
% 0.54/0.57 A Theorem Prover for First-Order Logic
% 0.54/0.57 (ePrincess v.1.0)
% 0.54/0.57
% 0.54/0.57 (c) Philipp Rümmer, 2009-2015
% 0.54/0.57 (c) Peter Backeman, 2014-2015
% 0.54/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.57 Bug reports to peter@backeman.se
% 0.54/0.57
% 0.54/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.57
% 0.54/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.54/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.39/1.08 Prover 0: Preprocessing ...
% 4.14/1.57 Prover 0: Warning: ignoring some quantifiers
% 4.14/1.60 Prover 0: Constructing countermodel ...
% 18.95/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.38/6.02 Prover 1: Preprocessing ...
% 20.37/6.22 Prover 1: Warning: ignoring some quantifiers
% 20.37/6.22 Prover 1: Constructing countermodel ...
% 23.95/7.06 Prover 1: proved (1145ms)
% 23.95/7.06 Prover 0: stopped
% 23.95/7.06
% 23.95/7.06 No countermodel exists, formula is valid
% 23.95/7.06 % SZS status Theorem for theBenchmark
% 23.95/7.06
% 23.95/7.06 Generating proof ... Warning: ignoring some quantifiers
% 42.57/12.58 found it (size 83)
% 42.57/12.58
% 42.57/12.58 % SZS output start Proof for theBenchmark
% 42.57/12.58 Assumed formulas after preprocessing and simplification:
% 42.57/12.58 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (def = use) & minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(pv5, n1) = v2 & 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(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv41, v1) = 0 & leq(pv5, v0) = 0 & leq(n0, pv41) = 0 & leq(n0, pv5) = 0 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n999, n6) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, 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 & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (tptp_mmul(v25, v26) = v27) | ~ (tptp_mmul(v18, v22) = v23) | ~ (tptp_mmul(v17, v23) = v24) | ~ (tptp_mmul(v16, v19) = v20) | ~ (tptp_mmul(v15, v20) = v21) | ~ (tptp_mmul(v14, v27) = v28) | ~ (tptp_madd(v21, v24) = v25) | ~ (tptp_madd(v13, v28) = v29) | ~ (trans(v17) = v22) | ~ (trans(v15) = v19) | ~ (trans(v14) = v26) | ~ (a_select3(v29, v30, v31) = v32) | ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ((v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v18, v34, v33) = v40 & a_select3(v18, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v16, v34, v33) = v40 & a_select3(v16, v33, v34) = v39 & leq(v34, v12) = 0 & leq(v33, v12) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v13, v34, v33) = v40 & a_select3(v13, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (a_select3(v29, v31, v30) = v37 & leq(v31, v11) = v36 & leq(v30, v11) = v34 & leq(n0, v31) = v35 & leq(n0, v30) = v33 & ( ~ (v36 = 0) | ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | v37 = v32)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (tptp_const_array2(v18, v19, v17) = v20) | ~ (a_select3(v20, v11, v14) = v21) | ~ (dim(v15, v16) = v19) | ~ (dim(v12, v13) = v18) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (leq(v15, v14) = v24 & leq(v14, v16) = v25 & leq(v12, v11) = v22 & leq(v11, v13) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v13, v16) = v17) | ~ (trans(v13) = v15) | ~ (a_select3(v17, v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v14, v22, v21) = v28 & a_select3(v14, v21, v22) = v27 & leq(v22, v12) = 0 & leq(v21, v12) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v17, v19, v18) = v25 & leq(v19, v11) = v24 & leq(v18, v11) = v22 & leq(n0, v19) = v23 & leq(n0, v18) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v25 = v20)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) | ~ (tptp_mmul(v12, v15) = v16) | ~ (trans(v12) = v14) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v11) = v23 & leq(v17, v11) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update3(v15, v13, v14, v16) = v17) | ~ (a_select3(v17, v11, v12) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v25 = v16) & a_select3(v15, v19, v20) = v25 & leq(v20, v14) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (leq(v12, v14) = v22 & leq(v11, v13) = v20 & leq(n0, v12) = v21 & leq(n0, v11) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v11 | v14 = v12 | ~ (tptp_update3(v15, v12, v13, v16) = v17) | ~ (a_select3(v17, v14, v13) = v18) | ? [v19] : ( ~ (v19 = v11) & a_select3(v15, v14, v13) = v19)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_update3(v12, v15, v15, v16) = v17) | ~ (a_select3(v17, v13, v14) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v11) = 0 & leq(v19, v11) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v17, v14, v13) = v25 & leq(v15, v11) = v24 & leq(v14, v11) = v22 & leq(v13, v11) = v20 & leq(n0, v15) = v23 & leq(n0, v14) = v21 & leq(n0, v13) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v25 = v18)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (dim(v12, v13) = v15) | ~ (tptp_const_array1(v15, v14) = v16) | ~ (a_select2(v16, v11) = v17) | ? [v18] : ? [v19] : (leq(v12, v11) = v18 & leq(v11, v13) = v19 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v11 | v13 = v12 | ~ (tptp_update2(v14, v12, v15) = v16) | ~ (a_select2(v16, v13) = v17) | ? [v18] : ( ~ (v18 = v11) & a_select2(v14, v13) = v18)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_msub(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_madd(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update2(v13, v12, v14) = v15) | ~ (a_select2(v15, v11) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v19 = 0 & v18 = 0 & ~ (v20 = v14) & a_select2(v13, v17) = v20 & leq(v17, v12) = 0 & leq(n0, v17) = 0) | (leq(v11, v12) = v18 & leq(n0, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update3(v11, v12, v13, v14) = v15) | ~ (a_select3(v15, v12, v13) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (tptp_update3(v16, v15, v14, v13) = v12) | ~ (tptp_update3(v16, v15, v14, v13) = v11)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (inv(v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (trans(v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v11, v12, v13) = v14) | ~ (a_select2(v14, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v11, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_update2(v15, v14, v13) = v12) | ~ (tptp_update2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (sum(v15, v14, v13) = v12) | ~ (sum(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_const_array2(v15, v14, v13) = v12) | ~ (tptp_const_array2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (a_select3(v15, v14, v13) = v12) | ~ (a_select3(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (uniform_int_rnd(v12, v11) = v13) | ~ (leq(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (gt(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (pred(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (gt(v11, v13) = v14) | ~ (gt(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (minus(v14, v13) = v12) | ~ (minus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (plus(v14, v13) = v12) | ~ (plus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_mmul(v14, v13) = v12) | ~ (tptp_mmul(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_msub(v14, v13) = v12) | ~ (tptp_msub(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_madd(v14, v13) = v12) | ~ (tptp_madd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (dim(v14, v13) = v12) | ~ (dim(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_const_array1(v14, v13) = v12) | ~ (tptp_const_array1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (a_select2(v14, v13) = v12) | ~ (a_select2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (uniform_int_rnd(v14, v13) = v12) | ~ (uniform_int_rnd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (geq(v14, v13) = v12) | ~ (geq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (lt(v14, v13) = v12) | ~ (lt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (leq(v14, v13) = v12) | ~ (leq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (gt(v14, v13) = v12) | ~ (gt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v12, v11) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v11, v12) = v13) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v11) = v13)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (inv(v13) = v12) | ~ (inv(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (trans(v13) = v12) | ~ (trans(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (succ(v13) = v12) | ~ (succ(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (pred(v13) = v12) | ~ (pred(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (minus(v11, v12) = v13) | ~ (leq(v13, v11) = 0) | leq(n0, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (a_select3(z_defuse, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (a_select3(u_defuse, v11, v12) = v18 & leq(v12, pv5) = v17 & leq(v11, n2) = v16 & leq(n0, v12) = v15 & leq(n0, v11) = v14 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | (v18 = use & v13 = use)))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (uniform_int_rnd(v12, v11) = v13) | ? [v14] : ? [v15] : (leq(n0, v13) = v15 & leq(n0, v11) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v12) = v13) | ~ (gt(v13, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (leq(v13, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (pred(v12) = v13) | ~ (leq(v11, v13) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : (v12 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = n0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v11, v11) = v12)) & ! [v11] : ! [v12] : ( ~ (minus(v11, n1) = v12) | pred(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(v11, n5) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n4) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n3) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n2) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n1) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(n5, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n4, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n3, v11) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n2, v11) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n1, v11) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | pred(v12) = v11) & ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | succ(v12) = v11) & ! [v11] : ! [v12] : ( ~ (geq(v11, v12) = 0) | leq(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (lt(v11, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (leq(v12, v2) = 0) | ~ (leq(v11, n2) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (a_select3(z_defuse, v11, v12) = v16 & a_select3(u_defuse, v11, v12) = v15 & leq(n0, v12) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | (v16 = use & v15 = use)))) & ! [v11] : ! [v12] : ( ~ (gt(v12, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : (v11 = n6 | v11 = n5 | v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n6) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n5 | v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n5) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n4) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n3) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n2) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n1 | v11 = n0 | ~ (leq(v11, n1) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n0 | ~ (leq(n0, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(v11, n0) = v12)) & ! [v11] : ~ (gt(v11, v11) = 0) & ((v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & a_select3(z_defuse, v3, v4) = v10 & a_select3(u_defuse, v3, v4) = v9 & leq(v4, v2) = 0 & leq(v3, n2) = 0 & leq(n0, v4) = 0 & leq(n0, v3) = 0 & ( ~ (v10 = use) | ~ (v9 = use))) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & a_select3(z_defuse, v3, v4) = v10 & a_select3(u_defuse, v3, v4) = v9 & leq(v4, pv5) = 0 & leq(v3, n2) = 0 & leq(n0, v4) = 0 & leq(n0, v3) = 0 & ( ~ (v10 = use) | ~ (v9 = use)))))
% 42.89/12.67 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 42.89/12.67 | (1) ~ (def = use) & minus(n6, n1) = all_0_9_9 & minus(n999, n1) = all_0_10_10 & minus(pv5, n1) = all_0_8_8 & 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(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv41, all_0_9_9) = 0 & leq(pv5, all_0_10_10) = 0 & leq(n0, pv41) = 0 & leq(n0, pv5) = 0 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n999, n6) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (a_select3(u_defuse, v0, v1) = v7 & leq(v1, pv5) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v7 = use & v2 = use)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_8_8) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(z_defuse, v0, v1) = v5 & a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 = use)))) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n6) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ~ (gt(v0, v0) = 0) & ((all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))))
% 42.89/12.70 |
% 42.89/12.70 | Applying alpha-rule on (1) yields:
% 42.89/12.70 | (2) gt(n1, tptp_minus_1) = 0
% 42.89/12.70 | (3) a_select2(xinit_mean_defuse, n0) = use
% 42.89/12.70 | (4) succ(n0) = n1
% 42.89/12.70 | (5) gt(n999, n3) = 0
% 42.89/12.70 | (6) succ(n2) = n3
% 42.89/12.70 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 42.89/12.70 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (a_select3(z_defuse, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (a_select3(u_defuse, v0, v1) = v7 & leq(v1, pv5) = v6 & leq(v0, n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | (v7 = use & v2 = use))))
% 42.89/12.70 | (9) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 42.89/12.70 | (10) gt(n6, n5) = 0
% 43.18/12.70 | (11) a_select2(xinit_noise_defuse, n4) = use
% 43.18/12.70 | (12) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8))))
% 43.18/12.70 | (13) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5))))
% 43.18/12.70 | (14) gt(n999, tptp_minus_1) = 0
% 43.18/12.70 | (15) gt(n6, n4) = 0
% 43.18/12.70 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 43.18/12.70 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 43.18/12.70 | (18) gt(n5, n4) = 0
% 43.18/12.70 | (19) leq(pv5, all_0_10_10) = 0
% 43.18/12.70 | (20) a_select2(sigma_defuse, n2) = use
% 43.18/12.70 | (21) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.18/12.70 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))))
% 43.18/12.71 | (23) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6))))
% 43.18/12.71 | (24) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.18/12.71 | (25) gt(n5, n0) = 0
% 43.18/12.71 | (26) a_select2(xinit_noise_defuse, n2) = use
% 43.18/12.71 | (27) gt(n3, n1) = 0
% 43.18/12.71 | (28) a_select2(xinit_noise_defuse, n3) = use
% 43.18/12.71 | (29) gt(n6, n1) = 0
% 43.18/12.71 | (30) succ(n4) = n5
% 43.18/12.71 | (31) a_select2(rho_defuse, n1) = use
% 43.18/12.71 | (32) succ(tptp_minus_1) = n0
% 43.18/12.71 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 43.18/12.71 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 43.18/12.71 | (35) gt(n1, n0) = 0
% 43.18/12.71 | (36) gt(n4, n1) = 0
% 43.18/12.71 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 43.18/12.71 | (38) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 43.18/12.71 | (39) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 43.18/12.71 | (40) true
% 43.18/12.71 | (41) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 43.18/12.71 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 43.18/12.71 | (43) a_select2(xinit_noise_defuse, n0) = use
% 43.18/12.71 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 43.18/12.71 | (45) a_select2(xinit_mean_defuse, n3) = use
% 43.18/12.71 | (46) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.71 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 43.18/12.71 | (48) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6))))
% 43.18/12.71 | (49) a_select2(xinit_defuse, n4) = use
% 43.18/12.71 | (50) gt(n3, tptp_minus_1) = 0
% 43.18/12.71 | (51) ? [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))
% 43.18/12.71 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 43.18/12.71 | (53) ! [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))
% 43.18/12.72 | (54) gt(n6, n0) = 0
% 43.18/12.72 | (55) a_select2(rho_defuse, n2) = use
% 43.18/12.72 | (56) gt(n999, n1) = 0
% 43.18/12.72 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 43.18/12.72 | (58) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7))))
% 43.18/12.72 | (59) gt(n6, n3) = 0
% 43.18/12.72 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 43.18/12.72 | (61) minus(pv5, n1) = all_0_8_8
% 43.18/12.72 | (62) succ(n3) = n4
% 43.18/12.72 | (63) ! [v0] : ~ (gt(v0, v0) = 0)
% 43.18/12.72 | (64) ! [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))
% 43.18/12.72 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 43.18/12.72 | (66) gt(n999, n6) = 0
% 43.18/12.72 | (67) a_select2(xinit_mean_defuse, n5) = use
% 43.18/12.72 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 43.18/12.72 | (69) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 43.18/12.72 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 43.18/12.72 | (71) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 43.18/12.72 | (72) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 43.18/12.72 | (73) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.18/12.72 | (74) gt(n5, n3) = 0
% 43.18/12.72 | (75) a_select2(sigma_defuse, n0) = use
% 43.18/12.72 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 43.18/12.72 | (77) a_select2(xinit_noise_defuse, n5) = use
% 43.18/12.72 | (78) a_select2(xinit_mean_defuse, n2) = use
% 43.18/12.72 | (79) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 43.18/12.72 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 43.18/12.72 | (81) (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)))
% 43.18/12.72 | (82) gt(n999, n2) = 0
% 43.18/12.72 | (83) gt(n3, n2) = 0
% 43.18/12.72 | (84) gt(n5, tptp_minus_1) = 0
% 43.18/12.72 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 43.18/12.72 | (86) succ(n5) = n6
% 43.18/12.72 | (87) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 43.18/12.72 | (88) gt(n2, n1) = 0
% 43.18/12.72 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 43.18/12.72 | (90) gt(n4, n2) = 0
% 43.18/12.72 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 43.18/12.73 | (92) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 43.18/12.73 | (93) a_select2(xinit_defuse, n5) = use
% 43.18/12.73 | (94) gt(n4, n3) = 0
% 43.18/12.73 | (95) gt(n999, n4) = 0
% 43.18/12.73 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 43.18/12.73 | (97) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 43.18/12.73 | (98) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.18/12.73 | (99) succ(n1) = n2
% 43.18/12.73 | (100) gt(n4, tptp_minus_1) = 0
% 43.18/12.73 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 43.18/12.73 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 43.18/12.73 | (103) gt(n5, n1) = 0
% 43.18/12.73 | (104) a_select3(u_defuse, n0, n0) = use
% 43.18/12.73 | (105) gt(n999, n0) = 0
% 43.18/12.73 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0)))))
% 43.18/12.73 | (107) gt(n4, n0) = 0
% 43.18/12.73 | (108) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21))))
% 43.18/12.73 | (109) minus(n999, n1) = all_0_10_10
% 43.18/12.73 | (110) gt(n2, n0) = 0
% 43.18/12.73 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 43.18/12.73 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 43.18/12.73 | (113) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5))))
% 43.18/12.73 | (114) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_8_8) = 0) | ~ (leq(v0, n2) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(z_defuse, v0, v1) = v5 & a_select3(u_defuse, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v5 = use & v4 = use))))
% 43.18/12.74 | (115) leq(n0, pv41) = 0
% 43.18/12.74 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 43.18/12.74 | (117) gt(n6, n2) = 0
% 43.18/12.74 | (118) gt(n6, tptp_minus_1) = 0
% 43.18/12.74 | (119) a_select3(u_defuse, n1, n0) = use
% 43.18/12.74 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 43.18/12.74 | (121) gt(n999, n5) = 0
% 43.18/12.74 | (122) ? [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))
% 43.18/12.74 | (123) gt(n2, tptp_minus_1) = 0
% 43.18/12.74 | (124) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 43.18/12.74 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 43.18/12.74 | (126) a_select2(sigma_defuse, n4) = use
% 43.18/12.74 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 43.18/12.74 | (128) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 43.18/12.74 | (129) a_select2(sigma_defuse, n3) = use
% 43.18/12.74 | (130) a_select2(xinit_mean_defuse, n4) = use
% 43.18/12.74 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 43.18/12.74 | (132) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.18/12.74 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 43.18/12.74 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 43.18/12.74 | (135) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.74 | (136) leq(pv41, all_0_9_9) = 0
% 43.18/12.74 | (137) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 43.18/12.74 | (138) ! [v0] : (v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n6) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.74 | (139) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9))))
% 43.18/12.74 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 43.18/12.74 | (141) a_select2(sigma_defuse, n5) = use
% 43.18/12.74 | (142) ~ (def = use)
% 43.18/12.74 | (143) a_select3(u_defuse, n2, n0) = use
% 43.18/12.74 | (144) a_select2(rho_defuse, n0) = use
% 43.18/12.74 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0))))
% 43.18/12.74 | (146) a_select2(xinit_defuse, n3) = use
% 43.18/12.74 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 43.18/12.74 | (148) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 43.18/12.74 | (149) a_select2(xinit_noise_defuse, n1) = use
% 43.18/12.74 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 43.18/12.74 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 43.18/12.74 | (152) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.74 | (153) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.18/12.74 | (154) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 43.18/12.75 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 43.18/12.75 | (156) minus(n6, n1) = all_0_9_9
% 43.18/12.75 | (157) gt(n3, n0) = 0
% 43.18/12.75 | (158) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 43.18/12.75 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 43.18/12.75 | (160) leq(n0, pv5) = 0
% 43.18/12.75 | (161) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.75 | (162) gt(n5, n2) = 0
% 43.18/12.75 | (163) a_select2(sigma_defuse, n1) = use
% 43.18/12.75 | (164) gt(n0, tptp_minus_1) = 0
% 43.18/12.75 | (165) a_select2(xinit_mean_defuse, n1) = use
% 43.18/12.75 | (166) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (148) with all_0_8_8, pv5 and discharging atoms minus(pv5, n1) = all_0_8_8, yields:
% 43.18/12.75 | (167) pred(pv5) = all_0_8_8
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (16) with n0, pv5, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, leq(n0, pv5) = 0, yields:
% 43.18/12.75 | (168) gt(pv5, tptp_minus_1) = 0
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (17) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields:
% 43.18/12.75 | (169) leq(n2, n2) = 0
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (9) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields:
% 43.18/12.75 | (170) leq(n1, n2) = 0
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (9) with n2, tptp_minus_1 and discharging atoms gt(n2, tptp_minus_1) = 0, yields:
% 43.18/12.75 | (171) leq(tptp_minus_1, n2) = 0
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (9) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 43.18/12.75 | (172) leq(n0, n2) = 0
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (38) with all_0_8_8, pv5 and discharging atoms pred(pv5) = all_0_8_8, yields:
% 43.18/12.75 | (173) succ(all_0_8_8) = pv5
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (114) with tptp_minus_1, n2 and discharging atoms leq(n2, n2) = 0, yields:
% 43.18/12.75 | (174) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n2, tptp_minus_1) = v3 & a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (114) with tptp_minus_1, n1 and discharging atoms leq(n1, n2) = 0, yields:
% 43.18/12.75 | (175) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n1, tptp_minus_1) = v3 & a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (114) with tptp_minus_1, tptp_minus_1 and discharging atoms leq(tptp_minus_1, n2) = 0, yields:
% 43.18/12.75 | (176) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v3 & a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (114) with tptp_minus_1, n0 and discharging atoms leq(n0, n2) = 0, yields:
% 43.18/12.75 | (177) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n0, tptp_minus_1) = v3 & a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 | Instantiating formula (17) with pv5, all_0_8_8, tptp_minus_1 and discharging atoms succ(all_0_8_8) = pv5, gt(pv5, tptp_minus_1) = 0, yields:
% 43.18/12.75 | (178) leq(tptp_minus_1, all_0_8_8) = 0
% 43.18/12.75 |
% 43.18/12.75 +-Applying beta-rule and splitting (175), into two cases.
% 43.18/12.75 |-Branch one:
% 43.18/12.75 | (179) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 43.18/12.75 |
% 43.18/12.75 | Using (178) and (179) yields:
% 43.18/12.75 | (180) $false
% 43.18/12.75 |
% 43.18/12.75 |-The branch is then unsatisfiable
% 43.18/12.75 |-Branch two:
% 43.18/12.75 | (178) leq(tptp_minus_1, all_0_8_8) = 0
% 43.18/12.75 | (182) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n1, tptp_minus_1) = v3 & a_select3(u_defuse, n1, tptp_minus_1) = v2 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 +-Applying beta-rule and splitting (177), into two cases.
% 43.18/12.75 |-Branch one:
% 43.18/12.75 | (179) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 43.18/12.75 |
% 43.18/12.75 | Using (178) and (179) yields:
% 43.18/12.75 | (180) $false
% 43.18/12.75 |
% 43.18/12.75 |-The branch is then unsatisfiable
% 43.18/12.75 |-Branch two:
% 43.18/12.75 | (178) leq(tptp_minus_1, all_0_8_8) = 0
% 43.18/12.75 | (186) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n0, tptp_minus_1) = v3 & a_select3(u_defuse, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.75 |
% 43.18/12.75 +-Applying beta-rule and splitting (176), into two cases.
% 43.18/12.75 |-Branch one:
% 43.18/12.75 | (179) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 43.18/12.75 |
% 43.18/12.75 | Using (178) and (179) yields:
% 43.18/12.75 | (180) $false
% 43.18/12.75 |
% 43.18/12.75 |-The branch is then unsatisfiable
% 43.18/12.75 |-Branch two:
% 43.18/12.75 | (178) leq(tptp_minus_1, all_0_8_8) = 0
% 43.18/12.75 | (190) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, tptp_minus_1, tptp_minus_1) = v3 & a_select3(u_defuse, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.76 |
% 43.18/12.76 +-Applying beta-rule and splitting (174), into two cases.
% 43.18/12.76 |-Branch one:
% 43.18/12.76 | (179) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 43.18/12.76 |
% 43.18/12.76 | Using (178) and (179) yields:
% 43.18/12.76 | (180) $false
% 43.18/12.76 |
% 43.18/12.76 |-The branch is then unsatisfiable
% 43.18/12.76 |-Branch two:
% 43.18/12.76 | (178) leq(tptp_minus_1, all_0_8_8) = 0
% 43.18/12.76 | (194) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, n2, tptp_minus_1) = v3 & a_select3(u_defuse, n2, tptp_minus_1) = v2 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.76 |
% 43.18/12.76 +-Applying beta-rule and splitting (81), into two cases.
% 43.18/12.76 |-Branch one:
% 43.18/12.76 | (195) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_8_8) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (195) yields:
% 43.18/12.76 | (196) leq(n0, all_0_7_7) = 0
% 43.18/12.76 | (197) all_0_2_2 = 0
% 43.18/12.76 | (198) all_0_5_5 = 0
% 43.18/12.76 | (199) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0
% 43.18/12.76 | (200) all_0_3_3 = 0
% 43.18/12.76 | (201) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1
% 43.18/12.76 | (202) leq(all_0_7_7, n2) = 0
% 43.18/12.76 | (203) leq(n0, all_0_6_6) = 0
% 43.18/12.76 | (204) leq(all_0_6_6, all_0_8_8) = 0
% 43.18/12.76 | (205) all_0_4_4 = 0
% 43.18/12.76 | (206) ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (114) with all_0_6_6, all_0_7_7 and discharging atoms leq(all_0_6_6, all_0_8_8) = 0, leq(all_0_7_7, n2) = 0, yields:
% 43.18/12.76 | (207) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, all_0_7_7, all_0_6_6) = v3 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.76 |
% 43.18/12.76 | Instantiating (207) with all_848_0_199, all_848_1_200, all_848_2_201, all_848_3_202 yields:
% 43.18/12.76 | (208) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_848_0_199 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_848_1_200 & leq(n0, all_0_6_6) = all_848_2_201 & leq(n0, all_0_7_7) = all_848_3_202 & ( ~ (all_848_2_201 = 0) | ~ (all_848_3_202 = 0) | (all_848_0_199 = use & all_848_1_200 = use))
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (208) yields:
% 43.18/12.76 | (209) leq(n0, all_0_7_7) = all_848_3_202
% 43.18/12.76 | (210) leq(n0, all_0_6_6) = all_848_2_201
% 43.18/12.76 | (211) ~ (all_848_2_201 = 0) | ~ (all_848_3_202 = 0) | (all_848_0_199 = use & all_848_1_200 = use)
% 43.18/12.76 | (212) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_848_0_199
% 43.18/12.76 | (213) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_848_1_200
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (65) with z_defuse, all_0_7_7, all_0_6_6, all_848_0_199, all_0_0_0 and discharging atoms a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_848_0_199, a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0, yields:
% 43.18/12.76 | (214) all_848_0_199 = all_0_0_0
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (65) with u_defuse, all_0_7_7, all_0_6_6, all_848_1_200, all_0_1_1 and discharging atoms a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_848_1_200, a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 43.18/12.76 | (215) all_848_1_200 = all_0_1_1
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (33) with n0, all_0_6_6, all_848_2_201, 0 and discharging atoms leq(n0, all_0_6_6) = all_848_2_201, leq(n0, all_0_6_6) = 0, yields:
% 43.18/12.76 | (216) all_848_2_201 = 0
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (33) with n0, all_0_7_7, all_848_3_202, 0 and discharging atoms leq(n0, all_0_7_7) = all_848_3_202, leq(n0, all_0_7_7) = 0, yields:
% 43.18/12.76 | (217) all_848_3_202 = 0
% 43.18/12.76 |
% 43.18/12.76 +-Applying beta-rule and splitting (211), into two cases.
% 43.18/12.76 |-Branch one:
% 43.18/12.76 | (218) ~ (all_848_2_201 = 0)
% 43.18/12.76 |
% 43.18/12.76 | Equations (216) can reduce 218 to:
% 43.18/12.76 | (219) $false
% 43.18/12.76 |
% 43.18/12.76 |-The branch is then unsatisfiable
% 43.18/12.76 |-Branch two:
% 43.18/12.76 | (216) all_848_2_201 = 0
% 43.18/12.76 | (221) ~ (all_848_3_202 = 0) | (all_848_0_199 = use & all_848_1_200 = use)
% 43.18/12.76 |
% 43.18/12.76 +-Applying beta-rule and splitting (221), into two cases.
% 43.18/12.76 |-Branch one:
% 43.18/12.76 | (222) ~ (all_848_3_202 = 0)
% 43.18/12.76 |
% 43.18/12.76 | Equations (217) can reduce 222 to:
% 43.18/12.76 | (219) $false
% 43.18/12.76 |
% 43.18/12.76 |-The branch is then unsatisfiable
% 43.18/12.76 |-Branch two:
% 43.18/12.76 | (217) all_848_3_202 = 0
% 43.18/12.76 | (225) all_848_0_199 = use & all_848_1_200 = use
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (225) yields:
% 43.18/12.76 | (226) all_848_0_199 = use
% 43.18/12.76 | (227) all_848_1_200 = use
% 43.18/12.76 |
% 43.18/12.76 | Combining equations (226,214) yields a new equation:
% 43.18/12.76 | (228) all_0_0_0 = use
% 43.18/12.76 |
% 43.18/12.76 | Combining equations (227,215) yields a new equation:
% 43.18/12.76 | (229) all_0_1_1 = use
% 43.18/12.76 |
% 43.18/12.76 +-Applying beta-rule and splitting (206), into two cases.
% 43.18/12.76 |-Branch one:
% 43.18/12.76 | (230) ~ (all_0_0_0 = use)
% 43.18/12.76 |
% 43.18/12.76 | Equations (228) can reduce 230 to:
% 43.18/12.76 | (219) $false
% 43.18/12.76 |
% 43.18/12.76 |-The branch is then unsatisfiable
% 43.18/12.76 |-Branch two:
% 43.18/12.76 | (228) all_0_0_0 = use
% 43.18/12.76 | (233) ~ (all_0_1_1 = use)
% 43.18/12.76 |
% 43.18/12.76 | Equations (229) can reduce 233 to:
% 43.18/12.76 | (219) $false
% 43.18/12.76 |
% 43.18/12.76 |-The branch is then unsatisfiable
% 43.18/12.76 |-Branch two:
% 43.18/12.76 | (235) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0 & a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, pv5) = 0 & leq(all_0_7_7, n2) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0 & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (235) yields:
% 43.18/12.76 | (196) leq(n0, all_0_7_7) = 0
% 43.18/12.76 | (197) all_0_2_2 = 0
% 43.18/12.76 | (238) leq(all_0_6_6, pv5) = 0
% 43.18/12.76 | (198) all_0_5_5 = 0
% 43.18/12.76 | (199) a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0
% 43.18/12.76 | (200) all_0_3_3 = 0
% 43.18/12.76 | (201) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1
% 43.18/12.76 | (202) leq(all_0_7_7, n2) = 0
% 43.18/12.76 | (203) leq(n0, all_0_6_6) = 0
% 43.18/12.76 | (205) all_0_4_4 = 0
% 43.18/12.76 | (206) ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (8) with all_0_0_0, all_0_6_6, all_0_7_7 and discharging atoms a_select3(z_defuse, all_0_7_7, all_0_6_6) = all_0_0_0, yields:
% 43.18/12.76 | (247) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (a_select3(u_defuse, all_0_7_7, all_0_6_6) = v4 & leq(all_0_6_6, pv5) = v3 & leq(all_0_7_7, n2) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v4 = use & all_0_0_0 = use)))
% 43.18/12.76 |
% 43.18/12.76 | Instantiating formula (114) with tptp_minus_1, all_0_7_7 and discharging atoms leq(all_0_7_7, n2) = 0, leq(tptp_minus_1, all_0_8_8) = 0, yields:
% 43.18/12.76 | (248) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(z_defuse, all_0_7_7, tptp_minus_1) = v3 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = v2 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = use & v2 = use)))
% 43.18/12.76 |
% 43.18/12.76 | Instantiating (248) with all_826_0_320, all_826_1_321, all_826_2_322, all_826_3_323 yields:
% 43.18/12.76 | (249) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_826_0_320 & a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_826_1_321 & leq(n0, all_0_7_7) = all_826_3_323 & leq(n0, tptp_minus_1) = all_826_2_322 & ( ~ (all_826_2_322 = 0) | ~ (all_826_3_323 = 0) | (all_826_0_320 = use & all_826_1_321 = use))
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (249) yields:
% 43.18/12.76 | (250) a_select3(z_defuse, all_0_7_7, tptp_minus_1) = all_826_0_320
% 43.18/12.76 | (251) a_select3(u_defuse, all_0_7_7, tptp_minus_1) = all_826_1_321
% 43.18/12.76 | (252) leq(n0, tptp_minus_1) = all_826_2_322
% 43.18/12.76 | (253) ~ (all_826_2_322 = 0) | ~ (all_826_3_323 = 0) | (all_826_0_320 = use & all_826_1_321 = use)
% 43.18/12.76 | (254) leq(n0, all_0_7_7) = all_826_3_323
% 43.18/12.76 |
% 43.18/12.76 | Instantiating (247) with all_828_0_324, all_828_1_325, all_828_2_326, all_828_3_327, all_828_4_328 yields:
% 43.18/12.76 | (255) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_828_0_324 & leq(all_0_6_6, pv5) = all_828_1_325 & leq(all_0_7_7, n2) = all_828_2_326 & leq(n0, all_0_6_6) = all_828_3_327 & leq(n0, all_0_7_7) = all_828_4_328 & ( ~ (all_828_1_325 = 0) | ~ (all_828_2_326 = 0) | ~ (all_828_3_327 = 0) | ~ (all_828_4_328 = 0) | (all_828_0_324 = use & all_0_0_0 = use))
% 43.18/12.76 |
% 43.18/12.76 | Applying alpha-rule on (255) yields:
% 43.18/12.76 | (256) ~ (all_828_1_325 = 0) | ~ (all_828_2_326 = 0) | ~ (all_828_3_327 = 0) | ~ (all_828_4_328 = 0) | (all_828_0_324 = use & all_0_0_0 = use)
% 43.18/12.76 | (257) leq(all_0_6_6, pv5) = all_828_1_325
% 43.18/12.76 | (258) leq(n0, all_0_6_6) = all_828_3_327
% 43.18/12.77 | (259) leq(all_0_7_7, n2) = all_828_2_326
% 43.18/12.77 | (260) leq(n0, all_0_7_7) = all_828_4_328
% 43.18/12.77 | (261) a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_828_0_324
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (65) with u_defuse, all_0_7_7, all_0_6_6, all_828_0_324, all_0_1_1 and discharging atoms a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_828_0_324, a_select3(u_defuse, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 43.18/12.77 | (262) all_828_0_324 = all_0_1_1
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (33) with all_0_6_6, pv5, all_828_1_325, 0 and discharging atoms leq(all_0_6_6, pv5) = all_828_1_325, leq(all_0_6_6, pv5) = 0, yields:
% 43.18/12.77 | (263) all_828_1_325 = 0
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (33) with all_0_7_7, n2, all_828_2_326, 0 and discharging atoms leq(all_0_7_7, n2) = all_828_2_326, leq(all_0_7_7, n2) = 0, yields:
% 43.18/12.77 | (264) all_828_2_326 = 0
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (33) with n0, all_0_6_6, all_828_3_327, 0 and discharging atoms leq(n0, all_0_6_6) = all_828_3_327, leq(n0, all_0_6_6) = 0, yields:
% 43.18/12.77 | (265) all_828_3_327 = 0
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (33) with n0, all_0_7_7, all_828_4_328, 0 and discharging atoms leq(n0, all_0_7_7) = all_828_4_328, leq(n0, all_0_7_7) = 0, yields:
% 43.18/12.77 | (266) all_828_4_328 = 0
% 43.18/12.77 |
% 43.18/12.77 | Instantiating formula (33) with n0, all_0_7_7, all_826_3_323, all_828_4_328 and discharging atoms leq(n0, all_0_7_7) = all_828_4_328, leq(n0, all_0_7_7) = all_826_3_323, yields:
% 43.18/12.77 | (267) all_828_4_328 = all_826_3_323
% 43.18/12.77 |
% 43.18/12.77 | Combining equations (266,267) yields a new equation:
% 43.18/12.77 | (268) all_826_3_323 = 0
% 43.18/12.77 |
% 43.18/12.77 | Combining equations (268,267) yields a new equation:
% 43.18/12.77 | (266) all_828_4_328 = 0
% 43.18/12.77 |
% 43.18/12.77 +-Applying beta-rule and splitting (256), into two cases.
% 43.18/12.77 |-Branch one:
% 43.18/12.77 | (270) ~ (all_828_1_325 = 0)
% 43.18/12.77 |
% 43.18/12.77 | Equations (263) can reduce 270 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.18/12.77 |-Branch two:
% 43.18/12.77 | (263) all_828_1_325 = 0
% 43.18/12.77 | (273) ~ (all_828_2_326 = 0) | ~ (all_828_3_327 = 0) | ~ (all_828_4_328 = 0) | (all_828_0_324 = use & all_0_0_0 = use)
% 43.18/12.77 |
% 43.18/12.77 +-Applying beta-rule and splitting (273), into two cases.
% 43.18/12.77 |-Branch one:
% 43.18/12.77 | (274) ~ (all_828_2_326 = 0)
% 43.18/12.77 |
% 43.18/12.77 | Equations (264) can reduce 274 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.18/12.77 |-Branch two:
% 43.18/12.77 | (264) all_828_2_326 = 0
% 43.18/12.77 | (277) ~ (all_828_3_327 = 0) | ~ (all_828_4_328 = 0) | (all_828_0_324 = use & all_0_0_0 = use)
% 43.18/12.77 |
% 43.18/12.77 +-Applying beta-rule and splitting (277), into two cases.
% 43.18/12.77 |-Branch one:
% 43.18/12.77 | (278) ~ (all_828_3_327 = 0)
% 43.18/12.77 |
% 43.18/12.77 | Equations (265) can reduce 278 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.18/12.77 |-Branch two:
% 43.18/12.77 | (265) all_828_3_327 = 0
% 43.18/12.77 | (281) ~ (all_828_4_328 = 0) | (all_828_0_324 = use & all_0_0_0 = use)
% 43.18/12.77 |
% 43.18/12.77 +-Applying beta-rule and splitting (281), into two cases.
% 43.18/12.77 |-Branch one:
% 43.18/12.77 | (282) ~ (all_828_4_328 = 0)
% 43.18/12.77 |
% 43.18/12.77 | Equations (266) can reduce 282 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.18/12.77 |-Branch two:
% 43.18/12.77 | (266) all_828_4_328 = 0
% 43.18/12.77 | (285) all_828_0_324 = use & all_0_0_0 = use
% 43.18/12.77 |
% 43.18/12.77 | Applying alpha-rule on (285) yields:
% 43.18/12.77 | (286) all_828_0_324 = use
% 43.18/12.77 | (228) all_0_0_0 = use
% 43.18/12.77 |
% 43.18/12.77 | Combining equations (286,262) yields a new equation:
% 43.18/12.77 | (229) all_0_1_1 = use
% 43.18/12.77 |
% 43.18/12.77 +-Applying beta-rule and splitting (206), into two cases.
% 43.18/12.77 |-Branch one:
% 43.18/12.77 | (230) ~ (all_0_0_0 = use)
% 43.18/12.77 |
% 43.18/12.77 | Equations (228) can reduce 230 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.18/12.77 |-Branch two:
% 43.18/12.77 | (228) all_0_0_0 = use
% 43.18/12.77 | (233) ~ (all_0_1_1 = use)
% 43.18/12.77 |
% 43.18/12.77 | Equations (229) can reduce 233 to:
% 43.18/12.77 | (219) $false
% 43.18/12.77 |
% 43.18/12.77 |-The branch is then unsatisfiable
% 43.52/12.77 % SZS output end Proof for theBenchmark
% 43.52/12.77
% 43.52/12.77 12187ms
%------------------------------------------------------------------------------