TSTP Solution File: SWV116+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:50:04 EDT 2022
% Result : Theorem 23.38s 6.99s
% Output : Proof 81.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV116+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.08 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue Jun 14 19:35:43 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.47 ____ _
% 0.11/0.47 ___ / __ \_____(_)___ ________ __________
% 0.11/0.47 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.47 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.11/0.47 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.11/0.47
% 0.11/0.47 A Theorem Prover for First-Order Logic
% 0.11/0.47 (ePrincess v.1.0)
% 0.11/0.47
% 0.11/0.47 (c) Philipp Rümmer, 2009-2015
% 0.11/0.47 (c) Peter Backeman, 2014-2015
% 0.11/0.47 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.47 Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.47 Bug reports to peter@backeman.se
% 0.11/0.47
% 0.11/0.47 For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.47
% 0.11/0.47 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.11/0.52 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.66/0.87 Prover 0: Preprocessing ...
% 3.58/1.32 Prover 0: Warning: ignoring some quantifiers
% 3.58/1.35 Prover 0: Constructing countermodel ...
% 18.53/5.81 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.09/5.92 Prover 1: Preprocessing ...
% 19.93/6.12 Prover 1: Warning: ignoring some quantifiers
% 19.93/6.12 Prover 1: Constructing countermodel ...
% 23.38/6.99 Prover 1: proved (1174ms)
% 23.38/6.99 Prover 0: stopped
% 23.38/6.99
% 23.38/6.99 No countermodel exists, formula is valid
% 23.38/6.99 % SZS status Theorem for theBenchmark
% 23.38/6.99
% 23.38/6.99 Generating proof ... Warning: ignoring some quantifiers
% 80.71/42.85 found it (size 105)
% 80.71/42.85
% 80.71/42.85 % SZS output start Proof for theBenchmark
% 80.71/42.86 Assumed formulas after preprocessing and simplification:
% 80.71/42.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (def = use) & minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(n3, n1) = v2 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, v0) = 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] : ( ~ (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, v2) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (a_select3(r_ds1_filter, v12, v11) = v16 & a_select3(r_ds1_filter, v11, v12) = v15 & leq(n0, v12) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | v16 = v15))) & ! [v11] : ! [v12] : ( ~ (leq(v12, v1) = 0) | ~ (leq(v11, v1) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (a_select3(pminus_ds1_filter, v12, v11) = v16 & a_select3(pminus_ds1_filter, v11, v12) = v15 & leq(n0, v12) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | v16 = v15))) & ! [v11] : ! [v12] : ( ~ (leq(v12, v1) = 0) | ~ (leq(v11, v1) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (a_select3(q_ds1_filter, v12, v11) = v16 & a_select3(q_ds1_filter, v11, v12) = v15 & leq(n0, v12) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | v16 = v15))) & ! [v11] : ! [v12] : ( ~ (leq(v12, v1) = 0) | ~ (leq(v11, v1) = 0) | ? [v13] : ? [v14] : ? [v15] : (( ~ (v13 = 0) & leq(n0, v11) = v13) | (a_select3(id_ds1_filter, v12, v11) = v15 & a_select3(id_ds1_filter, v11, v12) = v14 & leq(n0, v12) = v13 & ( ~ (v13 = 0) | v15 = v14)))) & ! [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 & ~ (v10 = v9) & a_select3(pminus_ds1_filter, v4, v3) = v10 & a_select3(pminus_ds1_filter, v3, v4) = v9 & leq(v4, v1) = 0 & leq(v3, v1) = 0 & leq(n0, v4) = 0 & leq(n0, v3) = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & ~ (v10 = v9) & a_select3(r_ds1_filter, v4, v3) = v10 & a_select3(r_ds1_filter, v3, v4) = v9 & leq(v4, v2) = 0 & leq(v3, v2) = 0 & leq(n0, v4) = 0 & leq(n0, v3) = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & ~ (v10 = v9) & a_select3(q_ds1_filter, v4, v3) = v10 & a_select3(q_ds1_filter, v3, v4) = v9 & leq(v4, v1) = 0 & leq(v3, v1) = 0 & leq(n0, v4) = 0 & leq(n0, v3) = 0)))
% 81.04/42.93 | 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:
% 81.04/42.93 | (1) ~ (def = use) & minus(n6, n1) = all_0_9_9 & minus(n999, n1) = all_0_10_10 & minus(n3, n1) = all_0_8_8 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, all_0_10_10) = 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] : ( ~ (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, all_0_8_8) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(r_ds1_filter, v1, v0) = v5 & a_select3(r_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(pminus_ds1_filter, v1, v0) = v5 & a_select3(pminus_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(q_ds1_filter, v1, v0) = v5 & a_select3(q_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v2 = 0) & leq(n0, v0) = v2) | (a_select3(id_ds1_filter, v1, v0) = v4 & a_select3(id_ds1_filter, v0, v1) = v3 & leq(n0, v1) = v2 & ( ~ (v2 = 0) | v4 = v3)))) & ! [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 & ~ (all_0_0_0 = all_0_1_1) & a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(r_ds1_filter, 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, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0))
% 81.04/42.96 |
% 81.04/42.96 | Applying alpha-rule on (1) yields:
% 81.04/42.96 | (2) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 81.04/42.96 | (3) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 81.04/42.96 | (4) (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(r_ds1_filter, 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, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0)
% 81.04/42.96 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 81.04/42.96 | (6) ! [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))
% 81.04/42.96 | (7) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 81.04/42.96 | (8) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 81.04/42.96 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 81.04/42.96 | (10) leq(n0, pv5) = 0
% 81.04/42.96 | (11) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 81.04/42.96 | (12) gt(n5, n1) = 0
% 81.04/42.96 | (13) gt(n3, n2) = 0
% 81.04/42.96 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 81.04/42.96 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 81.04/42.96 | (16) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(pminus_ds1_filter, v1, v0) = v5 & a_select3(pminus_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4)))
% 81.04/42.96 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 81.04/42.96 | (18) ! [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)))))
% 81.04/42.96 | (19) ! [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))))
% 81.04/42.96 | (20) gt(n999, n4) = 0
% 81.04/42.96 | (21) gt(n999, n5) = 0
% 81.04/42.96 | (22) gt(n5, tptp_minus_1) = 0
% 81.04/42.96 | (23) succ(n2) = n3
% 81.04/42.96 | (24) succ(n5) = n6
% 81.04/42.96 | (25) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 81.04/42.96 | (26) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 81.04/42.96 | (27) gt(n6, n1) = 0
% 81.04/42.96 | (28) ? [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))))
% 81.04/42.96 | (29) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 81.04/42.96 | (30) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v2 = 0) & leq(n0, v0) = v2) | (a_select3(id_ds1_filter, v1, v0) = v4 & a_select3(id_ds1_filter, v0, v1) = v3 & leq(n0, v1) = v2 & ( ~ (v2 = 0) | v4 = v3))))
% 81.04/42.97 | (31) gt(n1, tptp_minus_1) = 0
% 81.04/42.97 | (32) ! [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)))))
% 81.04/42.97 | (33) gt(n999, tptp_minus_1) = 0
% 81.04/42.97 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 81.04/42.97 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 81.04/42.97 | (36) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 81.04/42.97 | (37) minus(n6, n1) = all_0_9_9
% 81.04/42.97 | (38) gt(n2, tptp_minus_1) = 0
% 81.04/42.97 | (39) ~ (def = use)
% 81.04/42.97 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 81.04/42.97 | (41) ! [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))))
% 81.04/42.97 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 81.04/42.97 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 81.04/42.97 | (44) gt(n6, n0) = 0
% 81.04/42.97 | (45) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 81.04/42.97 | (46) gt(n4, n0) = 0
% 81.04/42.97 | (47) gt(n5, n2) = 0
% 81.04/42.97 | (48) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 81.04/42.97 | (49) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 81.04/42.97 | (50) gt(n999, n1) = 0
% 81.04/42.97 | (51) gt(n6, n3) = 0
% 81.04/42.97 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 81.04/42.97 | (53) succ(n3) = n4
% 81.04/42.97 | (54) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 81.04/42.97 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 81.04/42.97 | (56) ? [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))))
% 81.04/42.97 | (57) gt(n6, tptp_minus_1) = 0
% 81.04/42.97 | (58) minus(n3, n1) = all_0_8_8
% 81.04/42.97 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 81.04/42.97 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 81.04/42.97 | (61) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 81.04/42.97 | (62) ? [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))))
% 81.04/42.97 | (63) minus(n999, n1) = all_0_10_10
% 81.04/42.97 | (64) ? [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))
% 81.04/42.97 | (65) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 81.04/42.97 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 81.04/42.97 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 81.04/42.97 | (68) gt(n2, n0) = 0
% 81.04/42.97 | (69) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_8_8) = 0) | ~ (leq(v0, all_0_8_8) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(r_ds1_filter, v1, v0) = v5 & a_select3(r_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4)))
% 81.04/42.97 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 81.04/42.97 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 81.04/42.97 | (72) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 81.04/42.97 | (73) gt(n3, tptp_minus_1) = 0
% 81.04/42.97 | (74) gt(n5, n3) = 0
% 81.04/42.97 | (75) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 81.04/42.98 | (76) succ(n4) = n5
% 81.04/42.98 | (77) gt(n6, n4) = 0
% 81.04/42.98 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 81.04/42.98 | (79) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 81.04/42.98 | (80) gt(n4, tptp_minus_1) = 0
% 81.04/42.98 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 81.04/42.98 | (82) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 81.04/42.98 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 81.04/42.98 | (84) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 81.04/42.98 | (85) ? [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))
% 81.04/42.98 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 81.04/42.98 | (87) ? [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))))
% 81.04/42.98 | (88) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 81.04/42.98 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 81.04/42.98 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 81.04/42.98 | (91) gt(n999, n6) = 0
% 81.04/42.98 | (92) gt(n3, n0) = 0
% 81.04/42.98 | (93) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 81.04/42.98 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 81.04/42.98 | (95) gt(n3, n1) = 0
% 81.04/42.98 | (96) gt(n4, n1) = 0
% 81.04/42.98 | (97) gt(n0, tptp_minus_1) = 0
% 81.04/42.98 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 81.04/42.98 | (99) gt(n4, n3) = 0
% 81.04/42.98 | (100) gt(n1, n0) = 0
% 81.04/42.98 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 81.04/42.98 | (102) succ(n0) = n1
% 81.04/42.98 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 81.04/42.98 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 81.04/42.98 | (105) gt(n999, n2) = 0
% 81.04/42.98 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 81.04/42.98 | (107) ! [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))
% 81.04/42.98 | (108) gt(n999, n3) = 0
% 81.04/42.98 | (109) ! [v0] : ~ (gt(v0, v0) = 0)
% 81.04/42.98 | (110) ? [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))))
% 81.04/42.98 | (111) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 81.04/42.98 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 81.04/42.98 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 81.04/42.98 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 81.04/42.98 | (115) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 81.04/42.98 | (116) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 81.04/42.98 | (117) ? [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))))
% 81.04/42.99 | (118) gt(n6, n5) = 0
% 81.04/42.99 | (119) gt(n4, n2) = 0
% 81.04/42.99 | (120) gt(n5, n4) = 0
% 81.04/42.99 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 81.04/42.99 | (122) true
% 81.04/42.99 | (123) leq(pv5, all_0_10_10) = 0
% 81.04/42.99 | (124) ? [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))))
% 81.04/42.99 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 81.04/42.99 | (126) gt(n2, n1) = 0
% 81.04/42.99 | (127) gt(n5, n0) = 0
% 81.04/42.99 | (128) gt(n6, n2) = 0
% 81.04/42.99 | (129) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 81.04/42.99 | (130) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 81.04/42.99 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 81.04/42.99 | (132) ! [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))
% 81.04/42.99 | (133) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_9_9) = 0) | ~ (leq(v0, all_0_9_9) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (a_select3(q_ds1_filter, v1, v0) = v5 & a_select3(q_ds1_filter, v0, v1) = v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4)))
% 81.04/42.99 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 81.04/42.99 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 81.04/42.99 | (136) succ(n1) = n2
% 81.04/42.99 | (137) ? [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))))
% 81.04/42.99 | (138) gt(n999, n0) = 0
% 81.04/42.99 | (139) succ(tptp_minus_1) = n0
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (25) with all_0_9_9, n6 and discharging atoms minus(n6, n1) = all_0_9_9, yields:
% 81.04/42.99 | (140) pred(n6) = all_0_9_9
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (25) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 81.04/42.99 | (141) pred(n3) = all_0_8_8
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (8) with n6, n5 and discharging atoms succ(n5) = n6, yields:
% 81.04/42.99 | (142) pred(n6) = n5
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (8) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 81.04/42.99 | (143) pred(n3) = n2
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (121) with n6, n5, all_0_9_9 and discharging atoms pred(n6) = all_0_9_9, pred(n6) = n5, yields:
% 81.04/42.99 | (144) all_0_9_9 = n5
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (121) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 81.04/42.99 | (145) all_0_8_8 = n2
% 81.04/42.99 |
% 81.04/42.99 +-Applying beta-rule and splitting (4), into two cases.
% 81.04/42.99 |-Branch one:
% 81.04/42.99 | (146) (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0) | (all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(r_ds1_filter, 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, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0)
% 81.04/42.99 |
% 81.04/42.99 +-Applying beta-rule and splitting (146), into two cases.
% 81.04/42.99 |-Branch one:
% 81.04/42.99 | (147) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 81.04/42.99 |
% 81.04/42.99 | Applying alpha-rule on (147) yields:
% 81.04/42.99 | (148) leq(n0, all_0_7_7) = 0
% 81.04/42.99 | (149) leq(n0, all_0_6_6) = 0
% 81.04/42.99 | (150) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 81.04/42.99 | (151) leq(all_0_7_7, all_0_9_9) = 0
% 81.04/42.99 | (152) all_0_4_4 = 0
% 81.04/42.99 | (153) ~ (all_0_0_0 = all_0_1_1)
% 81.04/42.99 | (154) all_0_2_2 = 0
% 81.04/42.99 | (155) leq(all_0_6_6, all_0_9_9) = 0
% 81.04/42.99 | (156) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 81.04/42.99 | (157) all_0_5_5 = 0
% 81.04/42.99 | (158) all_0_3_3 = 0
% 81.04/42.99 |
% 81.04/42.99 | From (144) and (155) follows:
% 81.04/42.99 | (159) leq(all_0_6_6, n5) = 0
% 81.04/42.99 |
% 81.04/42.99 | From (144) and (151) follows:
% 81.04/42.99 | (160) leq(all_0_7_7, n5) = 0
% 81.04/42.99 |
% 81.04/42.99 | Instantiating formula (16) with all_0_6_6, all_0_7_7 yields:
% 81.04/42.99 | (161) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, 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 = v2))
% 81.04/42.99 |
% 81.04/42.99 +-Applying beta-rule and splitting (161), into two cases.
% 81.04/42.99 |-Branch one:
% 81.04/42.99 | (162) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 81.04/42.99 |
% 81.04/42.99 | From (144) and (162) follows:
% 81.04/42.99 | (163) ~ (leq(all_0_6_6, n5) = 0)
% 81.04/42.99 |
% 81.04/42.99 | Using (159) and (163) yields:
% 81.04/43.00 | (164) $false
% 81.04/43.00 |
% 81.04/43.00 |-The branch is then unsatisfiable
% 81.04/43.00 |-Branch two:
% 81.04/43.00 | (155) leq(all_0_6_6, all_0_9_9) = 0
% 81.04/43.00 | (166) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, 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 = v2))
% 81.04/43.00 |
% 81.04/43.00 +-Applying beta-rule and splitting (166), into two cases.
% 81.04/43.00 |-Branch one:
% 81.04/43.00 | (167) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 81.04/43.00 |
% 81.04/43.00 | From (144) and (167) follows:
% 81.04/43.00 | (168) ~ (leq(all_0_7_7, n5) = 0)
% 81.04/43.00 |
% 81.04/43.00 | Using (160) and (168) yields:
% 81.04/43.00 | (164) $false
% 81.04/43.00 |
% 81.04/43.00 |-The branch is then unsatisfiable
% 81.04/43.00 |-Branch two:
% 81.04/43.00 | (151) leq(all_0_7_7, all_0_9_9) = 0
% 81.04/43.00 | (171) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, 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 = v2))
% 81.04/43.00 |
% 81.04/43.00 | Instantiating (171) with all_5097_0_640, all_5097_1_641, all_5097_2_642, all_5097_3_643 yields:
% 81.04/43.00 | (172) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_640 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_641 & leq(n0, all_0_6_6) = all_5097_2_642 & leq(n0, all_0_7_7) = all_5097_3_643 & ( ~ (all_5097_2_642 = 0) | ~ (all_5097_3_643 = 0) | all_5097_0_640 = all_5097_1_641)
% 81.04/43.00 |
% 81.04/43.00 | Applying alpha-rule on (172) yields:
% 81.04/43.00 | (173) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_641
% 81.04/43.00 | (174) leq(n0, all_0_7_7) = all_5097_3_643
% 81.04/43.00 | (175) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_640
% 81.04/43.00 | (176) ~ (all_5097_2_642 = 0) | ~ (all_5097_3_643 = 0) | all_5097_0_640 = all_5097_1_641
% 81.04/43.00 | (177) leq(n0, all_0_6_6) = all_5097_2_642
% 81.04/43.00 |
% 81.04/43.00 | Instantiating formula (103) with pminus_ds1_filter, all_0_6_6, all_0_7_7, all_5097_0_640, all_0_0_0 and discharging atoms a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_640, a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 81.04/43.00 | (178) all_5097_0_640 = all_0_0_0
% 81.04/43.00 |
% 81.04/43.00 | Instantiating formula (103) with pminus_ds1_filter, all_0_7_7, all_0_6_6, all_5097_1_641, all_0_1_1 and discharging atoms a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_641, a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 81.04/43.00 | (179) all_5097_1_641 = all_0_1_1
% 81.04/43.00 |
% 81.04/43.00 | Instantiating formula (134) with n0, all_0_6_6, all_5097_2_642, 0 and discharging atoms leq(n0, all_0_6_6) = all_5097_2_642, leq(n0, all_0_6_6) = 0, yields:
% 81.04/43.00 | (180) all_5097_2_642 = 0
% 81.04/43.00 |
% 81.04/43.00 | Instantiating formula (134) with n0, all_0_7_7, all_5097_3_643, 0 and discharging atoms leq(n0, all_0_7_7) = all_5097_3_643, leq(n0, all_0_7_7) = 0, yields:
% 81.04/43.00 | (181) all_5097_3_643 = 0
% 81.04/43.00 |
% 81.04/43.00 +-Applying beta-rule and splitting (176), into two cases.
% 81.04/43.00 |-Branch one:
% 81.04/43.00 | (182) ~ (all_5097_2_642 = 0)
% 81.04/43.00 |
% 81.04/43.00 | Equations (180) can reduce 182 to:
% 81.04/43.00 | (183) $false
% 81.04/43.00 |
% 81.04/43.00 |-The branch is then unsatisfiable
% 81.04/43.00 |-Branch two:
% 81.04/43.00 | (180) all_5097_2_642 = 0
% 81.04/43.00 | (185) ~ (all_5097_3_643 = 0) | all_5097_0_640 = all_5097_1_641
% 81.04/43.00 |
% 81.04/43.00 +-Applying beta-rule and splitting (185), into two cases.
% 81.04/43.00 |-Branch one:
% 81.04/43.00 | (186) ~ (all_5097_3_643 = 0)
% 81.04/43.00 |
% 81.04/43.00 | Equations (181) can reduce 186 to:
% 81.04/43.00 | (183) $false
% 81.04/43.00 |
% 81.04/43.00 |-The branch is then unsatisfiable
% 81.04/43.00 |-Branch two:
% 81.04/43.00 | (181) all_5097_3_643 = 0
% 81.04/43.00 | (189) all_5097_0_640 = all_5097_1_641
% 81.04/43.00 |
% 81.04/43.00 | Combining equations (189,178) yields a new equation:
% 81.04/43.00 | (190) all_5097_1_641 = all_0_0_0
% 81.04/43.00 |
% 81.04/43.00 | Simplifying 190 yields:
% 81.04/43.00 | (191) all_5097_1_641 = all_0_0_0
% 81.04/43.00 |
% 81.04/43.00 | Combining equations (191,179) yields a new equation:
% 81.04/43.00 | (192) all_0_0_0 = all_0_1_1
% 81.04/43.00 |
% 81.04/43.00 | Simplifying 192 yields:
% 81.04/43.00 | (193) all_0_0_0 = all_0_1_1
% 81.04/43.00 |
% 81.04/43.00 | Equations (193) can reduce 153 to:
% 81.04/43.00 | (183) $false
% 81.04/43.00 |
% 81.04/43.00 |-The branch is then unsatisfiable
% 81.04/43.00 |-Branch two:
% 81.04/43.00 | (195) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(r_ds1_filter, 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, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 81.04/43.00 |
% 81.04/43.00 | Applying alpha-rule on (195) yields:
% 81.04/43.00 | (196) leq(all_0_7_7, all_0_8_8) = 0
% 81.04/43.00 | (148) leq(n0, all_0_7_7) = 0
% 81.04/43.00 | (149) leq(n0, all_0_6_6) = 0
% 81.04/43.00 | (199) leq(all_0_6_6, all_0_8_8) = 0
% 81.04/43.00 | (152) all_0_4_4 = 0
% 81.04/43.00 | (153) ~ (all_0_0_0 = all_0_1_1)
% 81.04/43.00 | (154) all_0_2_2 = 0
% 81.04/43.00 | (203) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 81.04/43.00 | (204) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 81.04/43.00 | (157) all_0_5_5 = 0
% 81.04/43.00 | (158) all_0_3_3 = 0
% 81.50/43.00 |
% 81.50/43.00 | From (145) and (199) follows:
% 81.50/43.00 | (207) leq(all_0_6_6, n2) = 0
% 81.50/43.00 |
% 81.50/43.00 | From (145) and (196) follows:
% 81.50/43.00 | (208) leq(all_0_7_7, n2) = 0
% 81.50/43.00 |
% 81.50/43.00 | Instantiating formula (69) with all_0_6_6, all_0_7_7 yields:
% 81.50/43.00 | (209) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(all_0_7_7, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(r_ds1_filter, 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 = v2))
% 81.50/43.00 |
% 81.50/43.00 +-Applying beta-rule and splitting (209), into two cases.
% 81.50/43.00 |-Branch one:
% 81.50/43.00 | (210) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 81.50/43.00 |
% 81.50/43.00 | From (145) and (210) follows:
% 81.50/43.00 | (211) ~ (leq(all_0_6_6, n2) = 0)
% 81.50/43.00 |
% 81.50/43.00 | Using (207) and (211) yields:
% 81.50/43.00 | (164) $false
% 81.50/43.00 |
% 81.50/43.00 |-The branch is then unsatisfiable
% 81.50/43.00 |-Branch two:
% 81.50/43.00 | (199) leq(all_0_6_6, all_0_8_8) = 0
% 81.50/43.00 | (214) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(r_ds1_filter, 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 = v2))
% 81.50/43.00 |
% 81.50/43.00 +-Applying beta-rule and splitting (214), into two cases.
% 81.50/43.00 |-Branch one:
% 81.50/43.00 | (215) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 81.50/43.00 |
% 81.50/43.00 | From (145) and (215) follows:
% 81.50/43.00 | (216) ~ (leq(all_0_7_7, n2) = 0)
% 81.50/43.00 |
% 81.50/43.00 | Using (208) and (216) yields:
% 81.50/43.00 | (164) $false
% 81.50/43.00 |
% 81.50/43.00 |-The branch is then unsatisfiable
% 81.50/43.00 |-Branch two:
% 81.50/43.00 | (196) leq(all_0_7_7, all_0_8_8) = 0
% 81.50/43.00 | (219) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(r_ds1_filter, 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 = v2))
% 81.50/43.00 |
% 81.50/43.00 | Instantiating (219) with all_5097_0_648, all_5097_1_649, all_5097_2_650, all_5097_3_651 yields:
% 81.50/43.00 | (220) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_648 & a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_649 & leq(n0, all_0_6_6) = all_5097_2_650 & leq(n0, all_0_7_7) = all_5097_3_651 & ( ~ (all_5097_2_650 = 0) | ~ (all_5097_3_651 = 0) | all_5097_0_648 = all_5097_1_649)
% 81.50/43.00 |
% 81.50/43.00 | Applying alpha-rule on (220) yields:
% 81.50/43.00 | (221) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_649
% 81.50/43.00 | (222) leq(n0, all_0_7_7) = all_5097_3_651
% 81.50/43.00 | (223) leq(n0, all_0_6_6) = all_5097_2_650
% 81.50/43.00 | (224) ~ (all_5097_2_650 = 0) | ~ (all_5097_3_651 = 0) | all_5097_0_648 = all_5097_1_649
% 81.50/43.00 | (225) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_648
% 81.50/43.00 |
% 81.50/43.00 | Instantiating formula (103) with r_ds1_filter, all_0_6_6, all_0_7_7, all_5097_0_648, all_0_0_0 and discharging atoms a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5097_0_648, a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 81.50/43.00 | (226) all_5097_0_648 = all_0_0_0
% 81.50/43.00 |
% 81.50/43.00 | Instantiating formula (103) with r_ds1_filter, all_0_7_7, all_0_6_6, all_5097_1_649, all_0_1_1 and discharging atoms a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5097_1_649, a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 81.50/43.00 | (227) all_5097_1_649 = all_0_1_1
% 81.50/43.00 |
% 81.50/43.00 | Instantiating formula (134) with n0, all_0_6_6, all_5097_2_650, 0 and discharging atoms leq(n0, all_0_6_6) = all_5097_2_650, leq(n0, all_0_6_6) = 0, yields:
% 81.50/43.00 | (228) all_5097_2_650 = 0
% 81.50/43.00 |
% 81.50/43.00 | Instantiating formula (134) with n0, all_0_7_7, all_5097_3_651, 0 and discharging atoms leq(n0, all_0_7_7) = all_5097_3_651, leq(n0, all_0_7_7) = 0, yields:
% 81.50/43.00 | (229) all_5097_3_651 = 0
% 81.50/43.00 |
% 81.50/43.00 +-Applying beta-rule and splitting (224), into two cases.
% 81.50/43.00 |-Branch one:
% 81.50/43.00 | (230) ~ (all_5097_2_650 = 0)
% 81.50/43.00 |
% 81.50/43.00 | Equations (228) can reduce 230 to:
% 81.50/43.00 | (183) $false
% 81.50/43.00 |
% 81.50/43.00 |-The branch is then unsatisfiable
% 81.50/43.00 |-Branch two:
% 81.50/43.00 | (228) all_5097_2_650 = 0
% 81.50/43.00 | (233) ~ (all_5097_3_651 = 0) | all_5097_0_648 = all_5097_1_649
% 81.50/43.00 |
% 81.50/43.00 +-Applying beta-rule and splitting (233), into two cases.
% 81.50/43.00 |-Branch one:
% 81.50/43.00 | (234) ~ (all_5097_3_651 = 0)
% 81.50/43.00 |
% 81.50/43.00 | Equations (229) can reduce 234 to:
% 81.50/43.00 | (183) $false
% 81.50/43.00 |
% 81.50/43.00 |-The branch is then unsatisfiable
% 81.50/43.00 |-Branch two:
% 81.50/43.00 | (229) all_5097_3_651 = 0
% 81.50/43.00 | (237) all_5097_0_648 = all_5097_1_649
% 81.50/43.00 |
% 81.50/43.00 | Combining equations (237,226) yields a new equation:
% 81.50/43.00 | (238) all_5097_1_649 = all_0_0_0
% 81.50/43.00 |
% 81.50/43.00 | Simplifying 238 yields:
% 81.50/43.00 | (239) all_5097_1_649 = all_0_0_0
% 81.50/43.00 |
% 81.50/43.00 | Combining equations (239,227) yields a new equation:
% 81.50/43.00 | (192) all_0_0_0 = all_0_1_1
% 81.50/43.00 |
% 81.50/43.00 | Simplifying 192 yields:
% 81.50/43.00 | (193) all_0_0_0 = all_0_1_1
% 81.50/43.00 |
% 81.50/43.00 | Equations (193) can reduce 153 to:
% 81.50/43.00 | (183) $false
% 81.50/43.00 |
% 81.50/43.00 |-The branch is then unsatisfiable
% 81.50/43.00 |-Branch two:
% 81.50/43.00 | (243) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1 & leq(all_0_6_6, all_0_9_9) = 0 & leq(all_0_7_7, all_0_9_9) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 81.50/43.00 |
% 81.50/43.00 | Applying alpha-rule on (243) yields:
% 81.50/43.00 | (148) leq(n0, all_0_7_7) = 0
% 81.50/43.01 | (245) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 81.50/43.01 | (149) leq(n0, all_0_6_6) = 0
% 81.50/43.01 | (151) leq(all_0_7_7, all_0_9_9) = 0
% 81.50/43.01 | (152) all_0_4_4 = 0
% 81.50/43.01 | (153) ~ (all_0_0_0 = all_0_1_1)
% 81.50/43.01 | (154) all_0_2_2 = 0
% 81.50/43.01 | (155) leq(all_0_6_6, all_0_9_9) = 0
% 81.50/43.01 | (157) all_0_5_5 = 0
% 81.50/43.01 | (253) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 81.50/43.01 | (158) all_0_3_3 = 0
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (155) follows:
% 81.50/43.01 | (159) leq(all_0_6_6, n5) = 0
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (151) follows:
% 81.50/43.01 | (160) leq(all_0_7_7, n5) = 0
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (133) with all_0_7_7, all_0_6_6 yields:
% 81.50/43.01 | (257) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = v2 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, all_0_7_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (133) with all_0_6_6, all_0_7_7 yields:
% 81.50/43.01 | (258) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(q_ds1_filter, 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 = v2))
% 81.50/43.01 |
% 81.50/43.01 +-Applying beta-rule and splitting (258), into two cases.
% 81.50/43.01 |-Branch one:
% 81.50/43.01 | (162) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (162) follows:
% 81.50/43.01 | (163) ~ (leq(all_0_6_6, n5) = 0)
% 81.50/43.01 |
% 81.50/43.01 | Using (159) and (163) yields:
% 81.50/43.01 | (164) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 |-Branch two:
% 81.50/43.01 | (155) leq(all_0_6_6, all_0_9_9) = 0
% 81.50/43.01 | (263) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = v3 & a_select3(q_ds1_filter, 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 = v2))
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (155) follows:
% 81.50/43.01 | (159) leq(all_0_6_6, n5) = 0
% 81.50/43.01 |
% 81.50/43.01 +-Applying beta-rule and splitting (257), into two cases.
% 81.50/43.01 |-Branch one:
% 81.50/43.01 | (162) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (162) follows:
% 81.50/43.01 | (163) ~ (leq(all_0_6_6, n5) = 0)
% 81.50/43.01 |
% 81.50/43.01 | Using (159) and (163) yields:
% 81.50/43.01 | (164) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 |-Branch two:
% 81.50/43.01 | (155) leq(all_0_6_6, all_0_9_9) = 0
% 81.50/43.01 | (269) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = v2 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, all_0_7_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 81.50/43.01 |
% 81.50/43.01 +-Applying beta-rule and splitting (269), into two cases.
% 81.50/43.01 |-Branch one:
% 81.50/43.01 | (167) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 81.50/43.01 |
% 81.50/43.01 | From (144) and (167) follows:
% 81.50/43.01 | (168) ~ (leq(all_0_7_7, n5) = 0)
% 81.50/43.01 |
% 81.50/43.01 | Using (160) and (168) yields:
% 81.50/43.01 | (164) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 |-Branch two:
% 81.50/43.01 | (151) leq(all_0_7_7, all_0_9_9) = 0
% 81.50/43.01 | (274) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = v2 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, all_0_7_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 81.50/43.01 |
% 81.50/43.01 | Instantiating (274) with all_5101_0_656, all_5101_1_657, all_5101_2_658, all_5101_3_659 yields:
% 81.50/43.01 | (275) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5101_1_657 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5101_0_656 & leq(n0, all_0_6_6) = all_5101_3_659 & leq(n0, all_0_7_7) = all_5101_2_658 & ( ~ (all_5101_2_658 = 0) | ~ (all_5101_3_659 = 0) | all_5101_0_656 = all_5101_1_657)
% 81.50/43.01 |
% 81.50/43.01 | Applying alpha-rule on (275) yields:
% 81.50/43.01 | (276) leq(n0, all_0_6_6) = all_5101_3_659
% 81.50/43.01 | (277) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5101_1_657
% 81.50/43.01 | (278) leq(n0, all_0_7_7) = all_5101_2_658
% 81.50/43.01 | (279) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5101_0_656
% 81.50/43.01 | (280) ~ (all_5101_2_658 = 0) | ~ (all_5101_3_659 = 0) | all_5101_0_656 = all_5101_1_657
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (103) with q_ds1_filter, all_0_6_6, all_0_7_7, all_5101_1_657, all_0_0_0 and discharging atoms a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5101_1_657, a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 81.50/43.01 | (281) all_5101_1_657 = all_0_0_0
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (103) with q_ds1_filter, all_0_7_7, all_0_6_6, all_5101_0_656, all_0_1_1 and discharging atoms a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5101_0_656, a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 81.50/43.01 | (282) all_5101_0_656 = all_0_1_1
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (134) with n0, all_0_6_6, all_5101_3_659, 0 and discharging atoms leq(n0, all_0_6_6) = all_5101_3_659, leq(n0, all_0_6_6) = 0, yields:
% 81.50/43.01 | (283) all_5101_3_659 = 0
% 81.50/43.01 |
% 81.50/43.01 | Instantiating formula (134) with n0, all_0_7_7, all_5101_2_658, 0 and discharging atoms leq(n0, all_0_7_7) = all_5101_2_658, leq(n0, all_0_7_7) = 0, yields:
% 81.50/43.01 | (284) all_5101_2_658 = 0
% 81.50/43.01 |
% 81.50/43.01 +-Applying beta-rule and splitting (280), into two cases.
% 81.50/43.01 |-Branch one:
% 81.50/43.01 | (285) ~ (all_5101_2_658 = 0)
% 81.50/43.01 |
% 81.50/43.01 | Equations (284) can reduce 285 to:
% 81.50/43.01 | (183) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 |-Branch two:
% 81.50/43.01 | (284) all_5101_2_658 = 0
% 81.50/43.01 | (288) ~ (all_5101_3_659 = 0) | all_5101_0_656 = all_5101_1_657
% 81.50/43.01 |
% 81.50/43.01 +-Applying beta-rule and splitting (288), into two cases.
% 81.50/43.01 |-Branch one:
% 81.50/43.01 | (289) ~ (all_5101_3_659 = 0)
% 81.50/43.01 |
% 81.50/43.01 | Equations (283) can reduce 289 to:
% 81.50/43.01 | (183) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 |-Branch two:
% 81.50/43.01 | (283) all_5101_3_659 = 0
% 81.50/43.01 | (292) all_5101_0_656 = all_5101_1_657
% 81.50/43.01 |
% 81.50/43.01 | Combining equations (292,282) yields a new equation:
% 81.50/43.01 | (293) all_5101_1_657 = all_0_1_1
% 81.50/43.01 |
% 81.50/43.01 | Simplifying 293 yields:
% 81.50/43.01 | (294) all_5101_1_657 = all_0_1_1
% 81.50/43.01 |
% 81.50/43.01 | Combining equations (294,281) yields a new equation:
% 81.50/43.01 | (193) all_0_0_0 = all_0_1_1
% 81.50/43.01 |
% 81.50/43.01 | Equations (193) can reduce 153 to:
% 81.50/43.01 | (183) $false
% 81.50/43.01 |
% 81.50/43.01 |-The branch is then unsatisfiable
% 81.50/43.01 % SZS output end Proof for theBenchmark
% 81.50/43.01
% 81.50/43.01 42529ms
%------------------------------------------------------------------------------