TSTP Solution File: SWV094+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n010.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 5.78s 1.97s
% Output : Proof 10.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n010.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
% 0.12/0.34 % DateTime : Wed Jun 15 16:19:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.53/0.57 ____ _
% 0.53/0.57 ___ / __ \_____(_)___ ________ __________
% 0.53/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.57
% 0.53/0.57 A Theorem Prover for First-Order Logic
% 0.53/0.57 (ePrincess v.1.0)
% 0.53/0.57
% 0.53/0.57 (c) Philipp Rümmer, 2009-2015
% 0.53/0.57 (c) Peter Backeman, 2014-2015
% 0.53/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.57 Bug reports to peter@backeman.se
% 0.53/0.58
% 0.53/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.58
% 0.53/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.60/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.39/1.11 Prover 0: Preprocessing ...
% 4.28/1.62 Prover 0: Warning: ignoring some quantifiers
% 4.58/1.65 Prover 0: Constructing countermodel ...
% 5.78/1.97 Prover 0: proved (1345ms)
% 5.78/1.97
% 5.78/1.97 No countermodel exists, formula is valid
% 5.78/1.97 % SZS status Theorem for theBenchmark
% 5.78/1.97
% 5.78/1.97 Generating proof ... Warning: ignoring some quantifiers
% 9.46/2.84 found it (size 11)
% 9.46/2.84
% 9.46/2.84 % SZS output start Proof for theBenchmark
% 9.46/2.84 Assumed formulas after preprocessing and simplification:
% 9.46/2.84 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (def = use) & minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(pv5, n1) = v2 & a_select3(z_defuse, v3, v4) = v6 & a_select3(u_defuse, v3, v4) = v5 & 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 & true & leq(v4, v2) & leq(v3, n2) & leq(pv52, v1) & leq(pv51, v1) & leq(pv5, v0) & leq(n0, v4) & leq(n0, v3) & leq(n0, pv52) & leq(n0, pv51) & leq(n0, pv5) & gt(n6, n5) & gt(n6, n4) & gt(n6, n3) & gt(n6, n2) & gt(n6, n1) & gt(n6, tptp_minus_1) & gt(n6, n0) & gt(n999, n6) & gt(n999, n5) & gt(n999, n4) & gt(n999, n3) & gt(n999, n2) & gt(n999, n1) & gt(n999, tptp_minus_1) & gt(n999, n0) & gt(n5, n4) & gt(n5, n3) & gt(n5, n2) & gt(n5, n1) & gt(n5, tptp_minus_1) & gt(n5, n0) & gt(n4, n3) & gt(n4, n2) & gt(n4, n1) & gt(n4, tptp_minus_1) & gt(n4, n0) & gt(n3, n2) & gt(n3, n1) & gt(n3, tptp_minus_1) & gt(n3, n0) & gt(n2, n1) & gt(n2, tptp_minus_1) & gt(n2, n0) & gt(n1, tptp_minus_1) & gt(n1, n0) & gt(n0, tptp_minus_1) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (tptp_mmul(v21, v22) = v23) | ~ (tptp_mmul(v13, v18) = v19) | ~ (tptp_mmul(v12, v19) = v20) | ~ (tptp_mmul(v11, v15) = v16) | ~ (tptp_mmul(v10, v16) = v17) | ~ (tptp_mmul(v9, v23) = v24) | ~ (tptp_madd(v17, v20) = v21) | ~ (tptp_madd(v8, v24) = v25) | ~ (trans(v12) = v18) | ~ (trans(v10) = v15) | ~ (trans(v9) = v22) | ~ (a_select3(v25, v27, v26) = v28) | ~ leq(v27, v14) | ~ leq(v26, v14) | ~ leq(n0, v27) | ~ leq(n0, v26) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v29 = v28 & a_select3(v25, v26, v27) = v28) | ( ~ (v32 = v31) & a_select3(v13, v30, v29) = v32 & a_select3(v13, v29, v30) = v31 & leq(v30, v14) & leq(v29, v14) & leq(n0, v30) & leq(n0, v29)) | ( ~ (v32 = v31) & a_select3(v11, v30, v29) = v32 & a_select3(v11, v29, v30) = v31 & leq(v30, v7) & leq(v29, v7) & leq(n0, v30) & leq(n0, v29)) | ( ~ (v32 = v31) & a_select3(v8, v30, v29) = v32 & a_select3(v8, v29, v30) = v31 & leq(v30, v14) & leq(v29, v14) & leq(n0, v30) & leq(n0, v29)))) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (tptp_mmul(v21, v22) = v23) | ~ (tptp_mmul(v13, v18) = v19) | ~ (tptp_mmul(v12, v19) = v20) | ~ (tptp_mmul(v11, v15) = v16) | ~ (tptp_mmul(v10, v16) = v17) | ~ (tptp_mmul(v9, v23) = v24) | ~ (tptp_madd(v17, v20) = v21) | ~ (tptp_madd(v8, v24) = v25) | ~ (trans(v12) = v18) | ~ (trans(v10) = v15) | ~ (trans(v9) = v22) | ~ (a_select3(v25, v26, v27) = v28) | ~ leq(v27, v14) | ~ leq(v26, v14) | ~ leq(n0, v27) | ~ leq(n0, v26) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ((v29 = v28 & a_select3(v25, v27, v26) = v28) | ( ~ (v32 = v31) & a_select3(v13, v30, v29) = v32 & a_select3(v13, v29, v30) = v31 & leq(v30, v14) & leq(v29, v14) & leq(n0, v30) & leq(n0, v29)) | ( ~ (v32 = v31) & a_select3(v11, v30, v29) = v32 & a_select3(v11, v29, v30) = v31 & leq(v30, v7) & leq(v29, v7) & leq(n0, v30) & leq(n0, v29)) | ( ~ (v32 = v31) & a_select3(v8, v30, v29) = v32 & a_select3(v8, v29, v30) = v31 & leq(v30, v14) & leq(v29, v14) & leq(n0, v30) & leq(n0, v29)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v13 | ~ (tptp_const_array2(v14, v15, v13) = v16) | ~ (a_select3(v16, v7, v10) = v17) | ~ (dim(v11, v12) = v15) | ~ (dim(v8, v9) = v14) | ~ leq(v11, v10) | ~ leq(v10, v12) | ~ leq(v8, v7) | ~ leq(v7, v9)) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_mmul(v9, v11) = v12) | ~ (tptp_mmul(v8, v12) = v13) | ~ (trans(v8) = v11) | ~ (a_select3(v13, v15, v14) = v16) | ~ leq(v15, v10) | ~ leq(v14, v10) | ~ leq(n0, v15) | ~ leq(n0, v14) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v17 = v16 & a_select3(v13, v14, v15) = v16) | ( ~ (v20 = v19) & a_select3(v9, v18, v17) = v20 & a_select3(v9, v17, v18) = v19 & leq(v18, v7) & leq(v17, v7) & leq(n0, v18) & leq(n0, v17)))) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_mmul(v9, v11) = v12) | ~ (tptp_mmul(v8, v12) = v13) | ~ (trans(v8) = v11) | ~ (a_select3(v13, v14, v15) = v16) | ~ leq(v15, v10) | ~ leq(v14, v10) | ~ leq(n0, v15) | ~ leq(n0, v14) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v17 = v16 & a_select3(v13, v15, v14) = v16) | ( ~ (v20 = v19) & a_select3(v9, v18, v17) = v20 & a_select3(v9, v17, v18) = v19 & leq(v18, v7) & leq(v17, v7) & leq(n0, v18) & leq(n0, v17)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_mmul(v8, v10) = v11) | ~ (tptp_mmul(v7, v11) = v12) | ~ (trans(v7) = v10) | ~ (a_select3(v12, v14, v13) = v15) | ~ leq(v14, v9) | ~ leq(v13, v9) | ~ leq(n0, v14) | ~ leq(n0, v13) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v16 = v15 & a_select3(v12, v13, v14) = v15) | ( ~ (v19 = v18) & a_select3(v8, v17, v16) = v19 & a_select3(v8, v16, v17) = v18 & leq(v17, v9) & leq(v16, v9) & leq(n0, v17) & leq(n0, v16)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_mmul(v8, v10) = v11) | ~ (tptp_mmul(v7, v11) = v12) | ~ (trans(v7) = v10) | ~ (a_select3(v12, v13, v14) = v15) | ~ leq(v14, v9) | ~ leq(v13, v9) | ~ leq(n0, v14) | ~ leq(n0, v13) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v16 = v15 & a_select3(v12, v14, v13) = v15) | ( ~ (v19 = v18) & a_select3(v8, v17, v16) = v19 & a_select3(v8, v16, v17) = v18 & leq(v17, v9) & leq(v16, v9) & leq(n0, v17) & leq(n0, v16)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update3(v11, v9, v10, v12) = v13) | ~ (a_select3(v13, v7, v8) = v14) | ~ leq(v8, v10) | ~ leq(v7, v9) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v15] : ? [v16] : ? [v17] : ( ~ (v17 = v12) & a_select3(v11, v15, v16) = v17 & leq(v16, v10) & leq(v15, v9) & leq(n0, v16) & leq(n0, v15))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (tptp_update3(v7, v11, v11, v12) = v13) | ~ (a_select3(v13, v10, v9) = v14) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(v9, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ~ leq(n0, v9) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v15 = v14 & a_select3(v13, v9, v10) = v14) | ( ~ (v18 = v17) & a_select3(v7, v16, v15) = v18 & a_select3(v7, v15, v16) = v17 & leq(v16, v8) & leq(v15, v8) & leq(n0, v16) & leq(n0, v15)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (tptp_update3(v7, v11, v11, v12) = v13) | ~ (a_select3(v13, v9, v10) = v14) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(v9, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ~ leq(n0, v9) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v15 = v14 & a_select3(v13, v10, v9) = v14) | ( ~ (v18 = v17) & a_select3(v7, v16, v15) = v18 & a_select3(v7, v15, v16) = v17 & leq(v16, v8) & leq(v15, v8) & leq(n0, v16) & leq(n0, v15)))) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v7 | v10 = v8 | ~ (tptp_update3(v11, v8, v9, v12) = v13) | ~ (a_select3(v13, v10, v9) = v14) | ? [v15] : ( ~ (v15 = v7) & a_select3(v11, v10, v9) = v15)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v10 | ~ (dim(v8, v9) = v11) | ~ (tptp_const_array1(v11, v10) = v12) | ~ (a_select2(v12, v7) = v13) | ~ leq(v8, v7) | ~ leq(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (tptp_msub(v7, v8) = v10) | ~ (a_select3(v10, v12, v11) = v13) | ~ leq(v12, v9) | ~ leq(v11, v9) | ~ leq(n0, v12) | ~ leq(n0, v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v14 = v13 & a_select3(v10, v11, v12) = v13) | ( ~ (v17 = v16) & a_select3(v8, v15, v14) = v17 & a_select3(v8, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)) | ( ~ (v17 = v16) & a_select3(v7, v15, v14) = v17 & a_select3(v7, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (tptp_msub(v7, v8) = v10) | ~ (a_select3(v10, v11, v12) = v13) | ~ leq(v12, v9) | ~ leq(v11, v9) | ~ leq(n0, v12) | ~ leq(n0, v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v14 = v13 & a_select3(v10, v12, v11) = v13) | ( ~ (v17 = v16) & a_select3(v8, v15, v14) = v17 & a_select3(v8, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)) | ( ~ (v17 = v16) & a_select3(v7, v15, v14) = v17 & a_select3(v7, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (tptp_madd(v7, v8) = v10) | ~ (a_select3(v10, v12, v11) = v13) | ~ leq(v12, v9) | ~ leq(v11, v9) | ~ leq(n0, v12) | ~ leq(n0, v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v14 = v13 & a_select3(v10, v11, v12) = v13) | ( ~ (v17 = v16) & a_select3(v8, v15, v14) = v17 & a_select3(v8, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)) | ( ~ (v17 = v16) & a_select3(v7, v15, v14) = v17 & a_select3(v7, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (tptp_madd(v7, v8) = v10) | ~ (a_select3(v10, v11, v12) = v13) | ~ leq(v12, v9) | ~ leq(v11, v9) | ~ leq(n0, v12) | ~ leq(n0, v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v14 = v13 & a_select3(v10, v12, v11) = v13) | ( ~ (v17 = v16) & a_select3(v8, v15, v14) = v17 & a_select3(v8, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)) | ( ~ (v17 = v16) & a_select3(v7, v15, v14) = v17 & a_select3(v7, v14, v15) = v16 & leq(v15, v9) & leq(v14, v9) & leq(n0, v15) & leq(n0, v14)))) & ? [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v7 | v9 = v8 | ~ (tptp_update2(v10, v8, v11) = v12) | ~ (a_select2(v12, v9) = v13) | ? [v14] : ( ~ (v14 = v7) & a_select2(v10, v9) = v14)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v10 | ~ (tptp_update2(v9, v8, v10) = v11) | ~ (a_select2(v11, v7) = v12) | ~ leq(v7, v8) | ~ leq(n0, v7) | ? [v13] : ? [v14] : ( ~ (v14 = v10) & a_select2(v9, v13) = v14 & leq(v13, v8) & leq(n0, v13))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v10 | ~ (tptp_update3(v7, v8, v9, v10) = v11) | ~ (a_select3(v11, v8, v9) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v8 = v7 | ~ (tptp_update3(v12, v11, v10, v9) = v8) | ~ (tptp_update3(v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inv(v7) = v9) | ~ (a_select3(v9, v11, v10) = v12) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v13 = v12 & a_select3(v9, v10, v11) = v12) | ( ~ (v16 = v15) & a_select3(v7, v14, v13) = v16 & a_select3(v7, v13, v14) = v15 & leq(v14, v8) & leq(v13, v8) & leq(n0, v14) & leq(n0, v13)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inv(v7) = v9) | ~ (a_select3(v9, v10, v11) = v12) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v13 = v12 & a_select3(v9, v11, v10) = v12) | ( ~ (v16 = v15) & a_select3(v7, v14, v13) = v16 & a_select3(v7, v13, v14) = v15 & leq(v14, v8) & leq(v13, v8) & leq(n0, v14) & leq(n0, v13)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (trans(v7) = v9) | ~ (a_select3(v9, v11, v10) = v12) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v13 = v12 & a_select3(v9, v10, v11) = v12) | ( ~ (v16 = v15) & a_select3(v7, v14, v13) = v16 & a_select3(v7, v13, v14) = v15 & leq(v14, v8) & leq(v13, v8) & leq(n0, v14) & leq(n0, v13)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (trans(v7) = v9) | ~ (a_select3(v9, v10, v11) = v12) | ~ leq(v11, v8) | ~ leq(v10, v8) | ~ leq(n0, v11) | ~ leq(n0, v10) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v13 = v12 & a_select3(v9, v11, v10) = v12) | ( ~ (v16 = v15) & a_select3(v7, v14, v13) = v16 & a_select3(v7, v13, v14) = v15 & leq(v14, v8) & leq(v13, v8) & leq(n0, v14) & leq(n0, v13)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v9 | ~ (tptp_update2(v7, v8, v9) = v10) | ~ (a_select2(v10, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (tptp_update2(v11, v10, v9) = v8) | ~ (tptp_update2(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (sum(v11, v10, v9) = v8) | ~ (sum(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (tptp_const_array2(v11, v10, v9) = v8) | ~ (tptp_const_array2(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (a_select3(v11, v10, v9) = v8) | ~ (a_select3(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (minus(v10, v9) = v8) | ~ (minus(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (plus(v10, v9) = v8) | ~ (plus(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (tptp_mmul(v10, v9) = v8) | ~ (tptp_mmul(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (tptp_msub(v10, v9) = v8) | ~ (tptp_msub(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (tptp_madd(v10, v9) = v8) | ~ (tptp_madd(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (dim(v10, v9) = v8) | ~ (dim(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (tptp_const_array1(v10, v9) = v8) | ~ (tptp_const_array1(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (a_select2(v10, v9) = v8) | ~ (a_select2(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (uniform_int_rnd(v10, v9) = v8) | ~ (uniform_int_rnd(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (succ(v8) = v10) | ~ (succ(v7) = v9) | ~ leq(v9, v10) | leq(v7, v8)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (succ(v8) = v10) | ~ (succ(v7) = v9) | ~ leq(v7, v8) | leq(v9, v10)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (inv(v9) = v8) | ~ (inv(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (trans(v9) = v8) | ~ (trans(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (succ(v9) = v8) | ~ (succ(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (pred(v9) = v8) | ~ (pred(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (minus(v7, v8) = v9) | ~ leq(v9, v7) | leq(n0, v8)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (uniform_int_rnd(v8, v7) = v9) | ~ leq(n0, v7) | leq(v9, v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (uniform_int_rnd(v8, v7) = v9) | ~ leq(n0, v7) | leq(n0, v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (succ(v8) = v9) | ~ leq(v7, v8) | leq(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (succ(v8) = v9) | ~ leq(v7, v8) | gt(v9, v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (succ(v8) = v9) | ~ gt(v9, v7) | leq(v7, v8)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (succ(v7) = v9) | ~ leq(v9, v8) | gt(v8, v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (pred(v8) = v9) | ~ leq(v7, v9) | gt(v8, v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (pred(v8) = v9) | ~ gt(v8, v7) | leq(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ leq(v8, v9) | ~ leq(v7, v8) | leq(v7, v9)) & ! [v7] : ! [v8] : ! [v9] : ( ~ gt(v8, v9) | ~ gt(v7, v8) | gt(v7, v9)) & ! [v7] : ! [v8] : (v8 = v7 | ~ leq(v7, v8) | gt(v8, v7)) & ! [v7] : ! [v8] : (v8 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v7) = v8)) & ! [v7] : ! [v8] : (v8 = n0 | ~ (sum(n0, tptp_minus_1, v7) = v8)) & ! [v7] : ! [v8] : ( ~ (minus(v7, n1) = v8) | pred(v7) = v8) & ! [v7] : ! [v8] : ( ~ (plus(v7, n5) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (succ(v12) = v8 & succ(v11) = v12 & succ(v10) = v11 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(v7, n4) = v8) | ? [v9] : ? [v10] : ? [v11] : (succ(v11) = v8 & succ(v10) = v11 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(v7, n3) = v8) | ? [v9] : ? [v10] : (succ(v10) = v8 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(v7, n2) = v8) | ? [v9] : (succ(v9) = v8 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(v7, n1) = v8) | succ(v7) = v8) & ! [v7] : ! [v8] : ( ~ (plus(n5, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (succ(v12) = v8 & succ(v11) = v12 & succ(v10) = v11 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(n4, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (succ(v11) = v8 & succ(v10) = v11 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(n3, v7) = v8) | ? [v9] : ? [v10] : (succ(v10) = v8 & succ(v9) = v10 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(n2, v7) = v8) | ? [v9] : (succ(v9) = v8 & succ(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (plus(n1, v7) = v8) | succ(v7) = v8) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | plus(v7, n1) = v8) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | plus(n1, v7) = v8) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | pred(v8) = v7) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | gt(v8, v7)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (plus(v7, n5) = v9 & succ(v12) = v9 & succ(v11) = v12 & succ(v10) = v11 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (plus(n5, v7) = v9 & succ(v12) = v9 & succ(v11) = v12 & succ(v10) = v11 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (plus(v7, n4) = v9 & succ(v11) = v9 & succ(v10) = v11 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : ? [v11] : (plus(n4, v7) = v9 & succ(v11) = v9 & succ(v10) = v11 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : (plus(v7, n3) = v9 & succ(v10) = v9 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : ? [v10] : (plus(n3, v7) = v9 & succ(v10) = v9 & succ(v8) = v10)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : (plus(v7, n2) = v9 & succ(v8) = v9)) & ! [v7] : ! [v8] : ( ~ (succ(v7) = v8) | ? [v9] : (plus(n2, v7) = v9 & succ(v8) = v9)) & ! [v7] : ! [v8] : ( ~ (pred(v7) = v8) | minus(v7, n1) = v8) & ! [v7] : ! [v8] : ( ~ (pred(v7) = v8) | succ(v8) = v7) & ! [v7] : ! [v8] : ( ~ geq(v7, v8) | leq(v8, v7)) & ! [v7] : ! [v8] : ( ~ lt(v7, v8) | gt(v8, v7)) & ! [v7] : ! [v8] : ( ~ leq(v8, v7) | geq(v7, v8)) & ! [v7] : ! [v8] : ( ~ leq(v8, v2) | ~ leq(v7, n2) | ~ leq(n0, v8) | ~ leq(n0, v7) | (a_select3(z_defuse, v7, v8) = use & a_select3(u_defuse, v7, v8) = use)) & ! [v7] : ! [v8] : ( ~ gt(v8, v7) | lt(v7, v8)) & ! [v7] : ! [v8] : ( ~ gt(v8, v7) | leq(v7, v8)) & ! [v7] : (v7 = n6 | v7 = n5 | v7 = n4 | v7 = n3 | v7 = n2 | v7 = n1 | v7 = n0 | ~ leq(v7, n6) | ~ leq(n0, v7)) & ! [v7] : (v7 = n5 | v7 = n4 | v7 = n3 | v7 = n2 | v7 = n1 | v7 = n0 | ~ leq(v7, n5) | ~ leq(n0, v7)) & ! [v7] : (v7 = n4 | v7 = n3 | v7 = n2 | v7 = n1 | v7 = n0 | ~ leq(v7, n4) | ~ leq(n0, v7)) & ! [v7] : (v7 = n3 | v7 = n2 | v7 = n1 | v7 = n0 | ~ leq(v7, n3) | ~ leq(n0, v7)) & ! [v7] : (v7 = n2 | v7 = n1 | v7 = n0 | ~ leq(v7, n2) | ~ leq(n0, v7)) & ! [v7] : (v7 = n1 | v7 = n0 | ~ leq(v7, n1) | ~ leq(n0, v7)) & ! [v7] : (v7 = n0 | ~ leq(v7, n0) | ~ leq(n0, v7)) & ! [v7] : ~ gt(v7, v7) & ? [v7] : ? [v8] : (v8 = v7 | gt(v8, v7) | gt(v7, v8)) & ? [v7] : leq(v7, v7) & ( ~ (v6 = use) | ~ (v5 = use)))
% 10.16/2.91 | 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 yields:
% 10.16/2.91 | (1) ~ (def = use) & minus(n6, n1) = all_0_5_5 & minus(n999, n1) = all_0_6_6 & minus(pv5, n1) = all_0_4_4 & a_select3(z_defuse, all_0_3_3, all_0_2_2) = all_0_0_0 & a_select3(u_defuse, all_0_3_3, all_0_2_2) = all_0_1_1 & 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 & true & leq(all_0_2_2, all_0_4_4) & leq(all_0_3_3, n2) & leq(pv52, all_0_5_5) & leq(pv51, all_0_5_5) & leq(pv5, all_0_6_6) & leq(n0, all_0_2_2) & leq(n0, all_0_3_3) & leq(n0, pv52) & leq(n0, pv51) & leq(n0, pv5) & gt(n6, n5) & gt(n6, n4) & gt(n6, n3) & gt(n6, n2) & gt(n6, n1) & gt(n6, tptp_minus_1) & gt(n6, n0) & gt(n999, n6) & gt(n999, n5) & gt(n999, n4) & gt(n999, n3) & gt(n999, n2) & gt(n999, n1) & gt(n999, tptp_minus_1) & gt(n999, n0) & gt(n5, n4) & gt(n5, n3) & gt(n5, n2) & gt(n5, n1) & gt(n5, tptp_minus_1) & gt(n5, n0) & gt(n4, n3) & gt(n4, n2) & gt(n4, n1) & gt(n4, tptp_minus_1) & gt(n4, n0) & gt(n3, n2) & gt(n3, n1) & gt(n3, tptp_minus_1) & gt(n3, n0) & gt(n2, n1) & gt(n2, tptp_minus_1) & gt(n2, n0) & gt(n1, tptp_minus_1) & gt(n1, n0) & gt(n0, tptp_minus_1) & ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v20, v19) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, 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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, 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) | ~ leq(v4, v3) | ~ leq(v3, v5) | ~ leq(v1, v0) | ~ leq(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v8, v7) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v7, v6) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ~ leq(v1, v3) | ~ leq(v0, v2) | ~ leq(n0, v1) | ~ leq(n0, v0) | ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v5) & a_select3(v4, v8, v9) = v10 & leq(v9, v3) & leq(v8, v2) & leq(n0, v9) & leq(n0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, 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] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ~ leq(v1, v0) | ~ leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, 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] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ~ leq(v0, v1) | ~ leq(n0, v0) | ? [v6] : ? [v7] : ( ~ (v7 = v3) & a_select2(v2, v6) = v7 & leq(v6, v1) & leq(n0, v6))) & ! [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(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [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] : (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] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v0, v1) | leq(v2, 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) | leq(n0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(n0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | gt(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ gt(v2, v0) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ leq(v2, v1) | gt(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ leq(v0, v2) | gt(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ gt(v1, v0) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | gt(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | gt(v1, v0)) & ! [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] : ( ~ (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)) & ! [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) | leq(v1, v0)) & ! [v0] : ! [v1] : ( ~ lt(v0, v1) | gt(v1, v0)) & ! [v0] : ! [v1] : ( ~ leq(v1, v0) | geq(v0, v1)) & ! [v0] : ! [v1] : ( ~ leq(v1, all_0_4_4) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | (a_select3(z_defuse, v0, v1) = use & a_select3(u_defuse, v0, v1) = use)) & ! [v0] : ! [v1] : ( ~ gt(v1, v0) | lt(v0, v1)) & ! [v0] : ! [v1] : ( ~ gt(v1, v0) | leq(v0, v1)) & ! [v0] : (v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n6) | ~ leq(n0, v0)) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n5) | ~ leq(n0, v0)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n4) | ~ leq(n0, v0)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n3) | ~ leq(n0, v0)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n2) | ~ leq(n0, v0)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ leq(v0, n1) | ~ leq(n0, v0)) & ! [v0] : (v0 = n0 | ~ leq(v0, n0) | ~ leq(n0, v0)) & ! [v0] : ~ gt(v0, v0) & ? [v0] : ? [v1] : (v1 = v0 | gt(v1, v0) | gt(v0, v1)) & ? [v0] : leq(v0, v0) & ( ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use))
% 10.16/2.94 |
% 10.16/2.94 | Applying alpha-rule on (1) yields:
% 10.16/2.94 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v0, v1) | leq(v2, v3))
% 10.16/2.94 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1))
% 10.16/2.94 | (4) leq(pv52, all_0_5_5)
% 10.16/2.94 | (5) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 10.16/2.94 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ~ leq(v1, v0) | ~ leq(v0, v2))
% 10.16/2.94 | (7) minus(pv5, n1) = all_0_4_4
% 10.16/2.94 | (8) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 10.16/2.94 | (9) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(n2, v0) = v2 & succ(v1) = v2))
% 10.16/2.94 | (10) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 10.16/2.94 | (11) gt(n999, n5)
% 10.16/2.94 | (12) a_select3(u_defuse, all_0_3_3, all_0_2_2) = all_0_1_1
% 10.16/2.94 | (13) a_select2(xinit_noise_defuse, n4) = use
% 10.16/2.94 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 10.16/2.94 | (15) a_select2(xinit_defuse, n5) = use
% 10.16/2.94 | (16) ~ (def = use)
% 10.16/2.94 | (17) succ(tptp_minus_1) = n0
% 10.16/2.94 | (18) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 10.16/2.94 | (19) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n3) | ~ leq(n0, v0))
% 10.16/2.94 | (20) gt(n5, n0)
% 10.16/2.94 | (21) gt(n4, n0)
% 10.16/2.94 | (22) a_select2(xinit_mean_defuse, n0) = use
% 10.16/2.94 | (23) gt(n3, tptp_minus_1)
% 10.16/2.94 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 10.16/2.94 | (25) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | gt(v1, v0))
% 10.16/2.94 | (26) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(v0, n2) = v2 & succ(v1) = v2))
% 10.16/2.94 | (27) a_select2(xinit_noise_defuse, n0) = use
% 10.16/2.94 | (28) gt(n4, n2)
% 10.16/2.94 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8))))
% 10.16/2.94 | (30) gt(n6, tptp_minus_1)
% 10.16/2.94 | (31) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n2) | ~ leq(n0, v0))
% 10.16/2.94 | (32) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 10.16/2.94 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ gt(v1, v0) | leq(v0, v2))
% 10.16/2.94 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ leq(v0, v2) | gt(v1, v0))
% 10.16/2.94 | (35) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 10.16/2.94 | (36) a_select2(sigma_defuse, n2) = use
% 10.16/2.94 | (37) ! [v0] : ! [v1] : ( ~ leq(v1, v0) | geq(v0, v1))
% 10.16/2.94 | (38) ! [v0] : ! [v1] : ( ~ geq(v0, v1) | leq(v1, v0))
% 10.16/2.94 | (39) true
% 10.16/2.94 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 10.16/2.94 | (41) a_select2(xinit_noise_defuse, n3) = use
% 10.16/2.94 | (42) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n5) | ~ leq(n0, v0))
% 10.16/2.94 | (43) ~ (all_0_0_0 = use) | ~ (all_0_1_1 = use)
% 10.16/2.94 | (44) gt(n999, n0)
% 10.16/2.94 | (45) leq(pv5, all_0_6_6)
% 10.16/2.94 | (46) gt(n4, n3)
% 10.16/2.94 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v7, v6) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9))))
% 10.16/2.95 | (48) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | gt(v1, v0))
% 10.16/2.95 | (49) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 10.16/2.95 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 10.16/2.95 | (51) a_select2(xinit_noise_defuse, n5) = use
% 10.16/2.95 | (52) ! [v0] : ~ gt(v0, v0)
% 10.16/2.95 | (53) gt(n5, n1)
% 10.16/2.95 | (54) leq(pv51, all_0_5_5)
% 10.16/2.95 | (55) ! [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) | ~ leq(v4, v3) | ~ leq(v3, v5) | ~ leq(v1, v0) | ~ leq(v0, v2))
% 10.16/2.95 | (56) succ(n1) = n2
% 10.16/2.95 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 10.16/2.95 | (58) leq(n0, all_0_3_3)
% 10.16/2.95 | (59) gt(n999, tptp_minus_1)
% 10.16/2.95 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 10.16/2.95 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 10.16/2.95 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 10.16/2.95 | (63) gt(n5, n3)
% 10.16/2.95 | (64) leq(n0, all_0_2_2)
% 10.16/2.95 | (65) ! [v0] : (v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n6) | ~ leq(n0, v0))
% 10.16/2.95 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 10.16/2.95 | (67) a_select2(xinit_mean_defuse, n5) = use
% 10.16/2.95 | (68) ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v20, v19) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22))))
% 10.43/2.95 | (69) gt(n6, n1)
% 10.43/2.95 | (70) a_select2(xinit_mean_defuse, n1) = use
% 10.43/2.95 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2))
% 10.43/2.95 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 10.43/2.95 | (73) gt(n999, n3)
% 10.43/2.95 | (74) gt(n5, n4)
% 10.44/2.95 | (75) leq(n0, pv52)
% 10.44/2.95 | (76) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10))))
% 10.44/2.95 | (77) a_select2(xinit_defuse, n3) = use
% 10.44/2.95 | (78) a_select2(xinit_defuse, n4) = use
% 10.44/2.95 | (79) gt(n3, n2)
% 10.44/2.95 | (80) gt(n1, tptp_minus_1)
% 10.44/2.95 | (81) a_select3(u_defuse, n0, n0) = use
% 10.44/2.95 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 10.44/2.95 | (83) a_select2(rho_defuse, n0) = use
% 10.44/2.95 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 10.44/2.95 | (85) gt(n6, n4)
% 10.44/2.95 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8))))
% 10.44/2.95 | (87) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 10.44/2.95 | (88) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(v0, n1) = v1)
% 10.44/2.95 | (89) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 10.44/2.95 | (90) ? [v0] : ? [v1] : (v1 = v0 | gt(v1, v0) | gt(v0, v1))
% 10.44/2.95 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 10.44/2.95 | (92) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 10.44/2.95 | (93) gt(n999, n1)
% 10.44/2.95 | (94) leq(all_0_2_2, all_0_4_4)
% 10.44/2.95 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ leq(v2, v0) | leq(n0, v1))
% 10.44/2.95 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2))
% 10.44/2.95 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 10.44/2.96 | (98) a_select2(sigma_defuse, n1) = use
% 10.44/2.96 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(n0, v2))
% 10.44/2.96 | (100) gt(n3, n1)
% 10.44/2.96 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 10.44/2.96 | (102) gt(n2, tptp_minus_1)
% 10.44/2.96 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 10.44/2.96 | (104) ! [v0] : (v0 = n1 | v0 = n0 | ~ leq(v0, n1) | ~ leq(n0, v0))
% 10.44/2.96 | (105) a_select2(sigma_defuse, n3) = use
% 10.44/2.96 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 10.44/2.96 | (107) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | lt(v0, v1))
% 10.44/2.96 | (108) ! [v0] : ! [v1] : ( ~ lt(v0, v1) | gt(v1, v0))
% 10.44/2.96 | (109) gt(n4, n1)
% 10.44/2.96 | (110) gt(n2, n1)
% 10.44/2.96 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ~ leq(v1, v3) | ~ leq(v0, v2) | ~ leq(n0, v1) | ~ leq(n0, v0) | ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v5) & a_select3(v4, v8, v9) = v10 & leq(v9, v3) & leq(v8, v2) & leq(n0, v9) & leq(n0, v8)))
% 10.44/2.96 | (112) gt(n999, n6)
% 10.44/2.96 | (113) gt(n999, n4)
% 10.44/2.96 | (114) ? [v0] : leq(v0, v0)
% 10.44/2.96 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ~ leq(v0, v1) | ~ leq(n0, v0) | ? [v6] : ? [v7] : ( ~ (v7 = v3) & a_select2(v2, v6) = v7 & leq(v6, v1) & leq(n0, v6)))
% 10.44/2.96 | (116) a_select3(u_defuse, n1, n0) = use
% 10.44/2.96 | (117) ! [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))
% 10.44/2.96 | (118) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 10.44/2.96 | (119) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 10.44/2.96 | (120) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 10.44/2.96 | (121) a_select2(xinit_mean_defuse, n4) = use
% 10.44/2.96 | (122) succ(n0) = n1
% 10.44/2.96 | (123) leq(all_0_3_3, n2)
% 10.44/2.96 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ leq(v2, v1) | gt(v1, v0))
% 10.44/2.96 | (125) gt(n6, n5)
% 10.44/2.96 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 10.44/2.96 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 10.44/2.96 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 10.44/2.96 | (129) a_select2(xinit_noise_defuse, n2) = use
% 10.44/2.96 | (130) succ(n5) = n6
% 10.44/2.96 | (131) a_select2(xinit_mean_defuse, n2) = use
% 10.44/2.96 | (132) a_select2(xinit_mean_defuse, n3) = use
% 10.44/2.96 | (133) ! [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))
% 10.44/2.96 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 10.44/2.96 | (135) a_select2(rho_defuse, n1) = use
% 10.44/2.96 | (136) gt(n5, n2)
% 10.44/2.96 | (137) a_select3(u_defuse, n2, n0) = use
% 10.44/2.96 | (138) ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | gt(v0, v2))
% 10.44/2.96 | (139) succ(n4) = n5
% 10.44/2.96 | (140) leq(n0, pv5)
% 10.44/2.96 | (141) leq(n0, pv51)
% 10.44/2.96 | (142) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 10.44/2.96 | (143) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v8, v7) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10))))
% 10.44/2.96 | (144) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(n1, v0) = v1)
% 10.44/2.96 | (145) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 10.44/2.96 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 10.44/2.96 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 10.44/2.96 | (148) gt(n999, n2)
% 10.44/2.96 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 10.44/2.96 | (150) ! [v0] : ! [v1] : ( ~ leq(v1, all_0_4_4) | ~ leq(v0, n2) | ~ leq(n0, v1) | ~ leq(n0, v0) | (a_select3(z_defuse, v0, v1) = use & a_select3(u_defuse, v0, v1) = use))
% 10.44/2.96 | (151) succ(n2) = n3
% 10.44/2.96 | (152) gt(n2, n0)
% 10.44/2.96 | (153) a_select2(sigma_defuse, n4) = use
% 10.44/2.96 | (154) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 10.44/2.96 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 10.44/2.96 | (156) a_select3(z_defuse, all_0_3_3, all_0_2_2) = all_0_0_0
% 10.44/2.96 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 10.44/2.96 | (158) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n4) | ~ leq(n0, v0))
% 10.44/2.96 | (159) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | minus(v0, n1) = v1)
% 10.44/2.96 | (160) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 10.44/2.96 | (161) gt(n5, tptp_minus_1)
% 10.44/2.96 | (162) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ gt(v2, v0) | leq(v0, v1))
% 10.44/2.96 | (163) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | gt(v2, v0))
% 10.44/2.96 | (164) a_select2(sigma_defuse, n0) = use
% 10.44/2.96 | (165) ? [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))
% 10.44/2.97 | (166) gt(n6, n2)
% 10.44/2.97 | (167) succ(n3) = n4
% 10.44/2.97 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9))))
% 10.44/2.97 | (169) gt(n0, tptp_minus_1)
% 10.44/2.97 | (170) gt(n6, n3)
% 10.44/2.97 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 10.44/2.97 | (172) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 10.44/2.97 | (173) gt(n6, n0)
% 10.44/2.97 | (174) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(v2, v0))
% 10.44/2.97 | (175) a_select2(rho_defuse, n2) = use
% 10.44/2.97 | (176) gt(n3, n0)
% 10.44/2.97 | (177) a_select2(sigma_defuse, n5) = use
% 10.44/2.97 | (178) ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22))))
% 10.44/2.97 | (179) gt(n4, tptp_minus_1)
% 10.44/2.97 | (180) minus(n6, n1) = all_0_5_5
% 10.44/2.97 | (181) gt(n1, n0)
% 10.44/2.97 | (182) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | leq(v0, v1))
% 10.44/2.97 | (183) minus(n999, n1) = all_0_6_6
% 10.44/2.97 | (184) ! [v0] : (v0 = n0 | ~ leq(v0, n0) | ~ leq(n0, v0))
% 10.44/2.97 | (185) a_select2(xinit_noise_defuse, n1) = use
% 10.44/2.97 | (186) ! [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))
% 10.44/2.97 | (187) ? [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))
% 10.44/2.97 | (188) ! [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))
% 10.44/2.97 |
% 10.44/2.97 | Instantiating formula (150) with all_0_2_2, all_0_3_3 and discharging atoms leq(all_0_2_2, all_0_4_4), leq(all_0_3_3, n2), leq(n0, all_0_2_2), leq(n0, all_0_3_3), yields:
% 10.44/2.97 | (189) a_select3(z_defuse, all_0_3_3, all_0_2_2) = use & a_select3(u_defuse, all_0_3_3, all_0_2_2) = use
% 10.44/2.97 |
% 10.44/2.97 | Applying alpha-rule on (189) yields:
% 10.44/2.97 | (190) a_select3(z_defuse, all_0_3_3, all_0_2_2) = use
% 10.44/2.97 | (191) a_select3(u_defuse, all_0_3_3, all_0_2_2) = use
% 10.44/2.97 |
% 10.44/2.97 | Instantiating formula (91) with z_defuse, all_0_3_3, all_0_2_2, use, all_0_0_0 and discharging atoms a_select3(z_defuse, all_0_3_3, all_0_2_2) = all_0_0_0, a_select3(z_defuse, all_0_3_3, all_0_2_2) = use, yields:
% 10.44/2.97 | (192) all_0_0_0 = use
% 10.44/2.97 |
% 10.44/2.97 | Instantiating formula (91) with u_defuse, all_0_3_3, all_0_2_2, use, all_0_1_1 and discharging atoms a_select3(u_defuse, all_0_3_3, all_0_2_2) = all_0_1_1, a_select3(u_defuse, all_0_3_3, all_0_2_2) = use, yields:
% 10.44/2.97 | (193) all_0_1_1 = use
% 10.44/2.97 |
% 10.44/2.97 +-Applying beta-rule and splitting (43), into two cases.
% 10.44/2.97 |-Branch one:
% 10.44/2.97 | (194) ~ (all_0_0_0 = use)
% 10.44/2.97 |
% 10.44/2.97 | Equations (192) can reduce 194 to:
% 10.44/2.97 | (195) $false
% 10.44/2.97 |
% 10.44/2.97 |-The branch is then unsatisfiable
% 10.44/2.97 |-Branch two:
% 10.44/2.97 | (192) all_0_0_0 = use
% 10.44/2.97 | (197) ~ (all_0_1_1 = use)
% 10.44/2.97 |
% 10.44/2.97 | Equations (193) can reduce 197 to:
% 10.44/2.97 | (195) $false
% 10.44/2.97 |
% 10.44/2.97 |-The branch is then unsatisfiable
% 10.44/2.97 % SZS output end Proof for theBenchmark
% 10.44/2.97
% 10.44/2.97 2387ms
%------------------------------------------------------------------------------