TSTP Solution File: SWV122+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV122+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 17:50:05 EDT 2022
% Result : Theorem 23.96s 6.89s
% Output : Proof 63.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV122+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 20:10:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/0.64 ____ _
% 0.66/0.64 ___ / __ \_____(_)___ ________ __________
% 0.66/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.64
% 0.66/0.64 A Theorem Prover for First-Order Logic
% 0.66/0.64 (ePrincess v.1.0)
% 0.66/0.64
% 0.66/0.64 (c) Philipp Rümmer, 2009-2015
% 0.66/0.64 (c) Peter Backeman, 2014-2015
% 0.66/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.64 Bug reports to peter@backeman.se
% 0.66/0.64
% 0.66/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.64
% 0.66/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.12 Prover 0: Preprocessing ...
% 4.21/1.61 Prover 0: Warning: ignoring some quantifiers
% 4.54/1.65 Prover 0: Constructing countermodel ...
% 20.12/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.39/6.06 Prover 1: Preprocessing ...
% 21.27/6.23 Prover 1: Warning: ignoring some quantifiers
% 21.42/6.24 Prover 1: Constructing countermodel ...
% 23.96/6.88 Prover 1: proved (904ms)
% 23.96/6.89 Prover 0: stopped
% 23.96/6.89
% 23.96/6.89 No countermodel exists, formula is valid
% 23.96/6.89 % SZS status Theorem for theBenchmark
% 23.96/6.89
% 23.96/6.89 Generating proof ... Warning: ignoring some quantifiers
% 58.82/21.31 found it (size 5463)
% 58.82/21.31
% 58.82/21.31 % SZS output start Proof for theBenchmark
% 58.82/21.31 Assumed formulas after preprocessing and simplification:
% 58.82/21.31 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (def = use) & minus(n6, n1) = v0 & minus(n3, n1) = v1 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & 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(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 & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (tptp_mmul(v24, v25) = v26) | ~ (tptp_mmul(v17, v21) = v22) | ~ (tptp_mmul(v16, v22) = v23) | ~ (tptp_mmul(v15, v18) = v19) | ~ (tptp_mmul(v14, v19) = v20) | ~ (tptp_mmul(v13, v26) = v27) | ~ (tptp_madd(v20, v23) = v24) | ~ (tptp_madd(v12, v27) = v28) | ~ (trans(v16) = v21) | ~ (trans(v14) = v18) | ~ (trans(v13) = v25) | ~ (a_select3(v28, v29, v30) = v31) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ((v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v17, v33, v32) = v39 & a_select3(v17, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v15, v33, v32) = v39 & a_select3(v15, v32, v33) = v38 & leq(v33, v11) = 0 & leq(v32, v11) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v12, v33, v32) = v39 & a_select3(v12, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v10) = v35 & leq(v29, v10) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | v36 = v31)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (tptp_const_array2(v17, v18, v16) = v19) | ~ (a_select3(v19, v10, v13) = v20) | ~ (dim(v14, v15) = v18) | ~ (dim(v11, v12) = v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (leq(v14, v13) = v23 & leq(v13, v15) = v24 & leq(v11, v10) = v21 & leq(v10, v12) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ? [v10] : ? [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, v10) = v23 & leq(v17, v10) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = 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, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v10) = v22 & leq(v16, v10) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update3(v14, v12, v13, v15) = v16) | ~ (a_select3(v16, v10, v11) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v24 = v15) & a_select3(v14, v18, v19) = v24 & leq(v19, v13) = 0 & leq(v18, v12) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (leq(v11, v13) = v21 & leq(v10, v12) = v19 & leq(n0, v11) = v20 & leq(n0, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v10 | v13 = v11 | ~ (tptp_update3(v14, v11, v12, v15) = v16) | ~ (a_select3(v16, v13, v12) = v17) | ? [v18] : ( ~ (v18 = v10) & a_select3(v14, v13, v12) = v18)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_update3(v11, v14, v14, v15) = v16) | ~ (a_select3(v16, v12, v13) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v10) = 0 & leq(v18, v10) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v16, v13, v12) = v24 & leq(v14, v10) = v23 & leq(v13, v10) = v21 & leq(v12, v10) = v19 & leq(n0, v14) = v22 & leq(n0, v13) = v20 & leq(n0, v12) = v18 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v24 = v17)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (dim(v11, v12) = v14) | ~ (tptp_const_array1(v14, v13) = v15) | ~ (a_select2(v15, v10) = v16) | ? [v17] : ? [v18] : (leq(v11, v10) = v17 & leq(v10, v12) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v10 | v12 = v11 | ~ (tptp_update2(v13, v11, v14) = v15) | ~ (a_select2(v15, v12) = v16) | ? [v17] : ( ~ (v17 = v10) & a_select2(v13, v12) = v17)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_msub(v11, 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, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_madd(v11, 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, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v12, v11, v13) = v14) | ~ (a_select2(v14, v10) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v18 = 0 & v17 = 0 & ~ (v19 = v13) & a_select2(v12, v16) = v19 & leq(v16, v11) = 0 & leq(n0, v16) = 0) | (leq(v10, v11) = v17 & leq(n0, v10) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update3(v10, v11, v12, v13) = v14) | ~ (a_select3(v14, v11, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (tptp_update3(v15, v14, v13, v12) = v11) | ~ (tptp_update3(v15, v14, v13, v12) = v10)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inv(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (trans(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v10, v11, v12) = v13) | ~ (a_select2(v13, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_update2(v14, v13, v12) = v11) | ~ (tptp_update2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (sum(v14, v13, v12) = v11) | ~ (sum(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_const_array2(v14, v13, v12) = v11) | ~ (tptp_const_array2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (a_select3(v14, v13, v12) = v11) | ~ (a_select3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (uniform_int_rnd(v11, v10) = v12) | ~ (leq(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (pred(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (minus(v13, v12) = v11) | ~ (minus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (plus(v13, v12) = v11) | ~ (plus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_mmul(v13, v12) = v11) | ~ (tptp_mmul(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_msub(v13, v12) = v11) | ~ (tptp_msub(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_madd(v13, v12) = v11) | ~ (tptp_madd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (dim(v13, v12) = v11) | ~ (dim(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_const_array1(v13, v12) = v11) | ~ (tptp_const_array1(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (a_select2(v13, v12) = v11) | ~ (a_select2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (uniform_int_rnd(v13, v12) = v11) | ~ (uniform_int_rnd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v10, v11) = v12) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (inv(v12) = v11) | ~ (inv(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (trans(v12) = v11) | ~ (trans(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (succ(v12) = v11) | ~ (succ(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (pred(v12) = v11) | ~ (pred(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (minus(v10, v11) = v12) | ~ (leq(v12, v10) = 0) | leq(n0, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (uniform_int_rnd(v11, v10) = v12) | ? [v13] : ? [v14] : (leq(n0, v12) = v14 & leq(n0, v10) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | ~ (gt(v12, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (leq(v12, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | ~ (leq(v10, v12) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : (v11 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = n0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (minus(v10, n1) = v11) | pred(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(v10, n5) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n4) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n3) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n2) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n1) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(n5, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n4, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n3, v10) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n2, v10) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n1, v10) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | pred(v11) = v10) & ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | succ(v11) = v10) & ! [v10] : ! [v11] : ( ~ (geq(v10, v11) = 0) | leq(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (leq(v11, v1) = 0) | ~ (leq(v10, v1) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (a_select3(r_ds1_filter, v11, v10) = v15 & a_select3(r_ds1_filter, v10, v11) = v14 & leq(n0, v11) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v15 = v14))) & ! [v10] : ! [v11] : ( ~ (leq(v11, v0) = 0) | ~ (leq(v10, v0) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (a_select3(pminus_ds1_filter, v11, v10) = v15 & a_select3(pminus_ds1_filter, v10, v11) = v14 & leq(n0, v11) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v15 = v14))) & ! [v10] : ! [v11] : ( ~ (leq(v11, v0) = 0) | ~ (leq(v10, v0) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (a_select3(q_ds1_filter, v11, v10) = v15 & a_select3(q_ds1_filter, v10, v11) = v14 & leq(n0, v11) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v15 = v14))) & ! [v10] : ! [v11] : ( ~ (gt(v11, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : (v10 = n6 | v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n6) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n5) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n4) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n3) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n2) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n1 | v10 = n0 | ~ (leq(v10, n1) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n0 | ~ (leq(n0, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(v10, n0) = v11)) & ! [v10] : ~ (gt(v10, v10) = 0) & ((v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & ~ (v9 = v8) & a_select3(pminus_ds1_filter, v3, v2) = v9 & a_select3(pminus_ds1_filter, v2, v3) = v8 & leq(v3, v0) = 0 & leq(v2, v0) = 0 & leq(n0, v3) = 0 & leq(n0, v2) = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & ~ (v9 = v8) & a_select3(r_ds1_filter, v3, v2) = v9 & a_select3(r_ds1_filter, v2, v3) = v8 & leq(v3, v1) = 0 & leq(v2, v1) = 0 & leq(n0, v3) = 0 & leq(n0, v2) = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & ~ (v9 = v8) & a_select3(q_ds1_filter, v3, v2) = v9 & a_select3(q_ds1_filter, v2, v3) = v8 & leq(v3, v0) = 0 & leq(v2, v0) = 0 & leq(n0, v3) = 0 & leq(n0, v2) = 0)))
% 59.23/21.41 | 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 yields:
% 59.23/21.41 | (1) ~ (def = use) & minus(n6, n1) = all_0_9_9 & 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 & 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(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] : ( ~ (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))
% 59.23/21.45 |
% 59.23/21.45 | Applying alpha-rule on (1) yields:
% 59.23/21.45 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 59.23/21.45 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 59.23/21.45 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 59.23/21.45 | (5) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 59.23/21.45 | (6) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 59.23/21.45 | (7) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 59.23/21.45 | (8) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 59.23/21.45 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 59.23/21.45 | (10) gt(n3, tptp_minus_1) = 0
% 59.23/21.45 | (11) gt(n4, n0) = 0
% 59.23/21.45 | (12) (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)
% 59.23/21.45 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 59.23/21.45 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 59.23/21.45 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 59.23/21.45 | (16) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 59.23/21.45 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 59.23/21.45 | (18) gt(n3, n2) = 0
% 59.23/21.45 | (19) gt(n6, n5) = 0
% 59.23/21.45 | (20) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 59.23/21.45 | (21) ? [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))))
% 59.23/21.46 | (22) gt(n5, n3) = 0
% 59.23/21.46 | (23) gt(n2, n1) = 0
% 59.23/21.46 | (24) gt(n5, n0) = 0
% 59.23/21.46 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 59.23/21.46 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 59.23/21.46 | (27) ! [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))
% 59.23/21.46 | (28) true
% 59.23/21.46 | (29) minus(n6, n1) = all_0_9_9
% 59.23/21.46 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 59.23/21.46 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 59.23/21.46 | (32) gt(n4, n3) = 0
% 59.23/21.46 | (33) ? [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))
% 59.23/21.46 | (34) ? [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))))
% 59.23/21.46 | (35) ! [v0] : ~ (gt(v0, v0) = 0)
% 59.23/21.46 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 59.23/21.46 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 59.23/21.46 | (38) gt(n1, n0) = 0
% 59.23/21.46 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 59.23/21.46 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 59.23/21.46 | (41) gt(n0, tptp_minus_1) = 0
% 59.23/21.46 | (42) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 59.23/21.46 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 59.23/21.46 | (44) gt(n5, tptp_minus_1) = 0
% 59.23/21.46 | (45) gt(n4, tptp_minus_1) = 0
% 59.23/21.46 | (46) gt(n5, n2) = 0
% 59.23/21.46 | (47) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 59.23/21.46 | (48) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 59.23/21.46 | (49) ? [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))))
% 59.23/21.47 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 59.23/21.47 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 59.23/21.47 | (52) ! [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)))
% 59.23/21.47 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 59.23/21.47 | (54) ? [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))
% 59.23/21.47 | (55) succ(n0) = n1
% 59.23/21.47 | (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))))
% 59.23/21.47 | (57) ? [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))))
% 59.23/21.47 | (58) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 59.23/21.47 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 59.23/21.47 | (60) succ(n5) = n6
% 59.23/21.47 | (61) gt(n4, n2) = 0
% 59.23/21.47 | (62) succ(n4) = n5
% 59.23/21.47 | (63) ? [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))))
% 59.23/21.47 | (64) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 59.23/21.47 | (65) ! [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))))
% 59.23/21.47 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 59.23/21.47 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 59.23/21.48 | (68) ! [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)))
% 59.23/21.48 | (69) gt(n5, n1) = 0
% 59.23/21.48 | (70) gt(n4, n1) = 0
% 59.23/21.48 | (71) gt(n5, n4) = 0
% 59.23/21.48 | (72) succ(n2) = n3
% 59.23/21.48 | (73) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 59.23/21.48 | (74) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 59.23/21.48 | (75) ! [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))))
% 59.23/21.48 | (76) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 59.23/21.48 | (77) ! [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))
% 59.23/21.48 | (78) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 59.23/21.48 | (79) minus(n3, n1) = all_0_8_8
% 59.23/21.48 | (80) gt(n6, n3) = 0
% 59.23/21.48 | (81) gt(n1, tptp_minus_1) = 0
% 59.23/21.48 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 59.23/21.48 | (83) succ(tptp_minus_1) = n0
% 59.23/21.48 | (84) gt(n3, n0) = 0
% 59.23/21.48 | (85) ? [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))))
% 59.23/21.48 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 59.23/21.48 | (87) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 59.69/21.48 | (88) gt(n6, n0) = 0
% 59.69/21.48 | (89) ! [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)))))
% 59.69/21.48 | (90) ? [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))))
% 59.69/21.48 | (91) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 59.69/21.48 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 59.69/21.48 | (93) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 59.69/21.48 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 59.69/21.49 | (95) succ(n3) = n4
% 59.69/21.49 | (96) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 59.69/21.49 | (97) gt(n2, tptp_minus_1) = 0
% 59.69/21.49 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 59.69/21.49 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 59.69/21.49 | (100) gt(n6, n2) = 0
% 59.69/21.49 | (101) ! [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)))))
% 59.69/21.49 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 59.69/21.49 | (103) succ(n1) = n2
% 59.69/21.49 | (104) ! [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))
% 59.69/21.49 | (105) gt(n3, n1) = 0
% 59.69/21.49 | (106) ~ (def = use)
% 59.69/21.49 | (107) ! [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)))
% 59.69/21.49 | (108) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 59.69/21.49 | (109) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 59.69/21.49 | (110) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 59.69/21.49 | (111) gt(n6, tptp_minus_1) = 0
% 59.69/21.49 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 59.69/21.49 | (113) gt(n6, n1) = 0
% 59.69/21.49 | (114) gt(n6, n4) = 0
% 59.69/21.49 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 59.73/21.49 | (116) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 59.73/21.49 | (117) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 59.73/21.49 | (118) gt(n2, n0) = 0
% 59.73/21.49 | (119) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 59.73/21.49 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 59.73/21.49 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 59.73/21.49 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 59.73/21.49 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 59.73/21.49 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 59.73/21.49 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 59.73/21.49 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 59.73/21.49 | (127) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (42) with all_0_9_9, n6 and discharging atoms minus(n6, n1) = all_0_9_9, yields:
% 59.73/21.49 | (128) pred(n6) = all_0_9_9
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (42) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 59.73/21.49 | (129) pred(n3) = all_0_8_8
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (6) with n6, n5 and discharging atoms succ(n5) = n6, yields:
% 59.73/21.49 | (130) pred(n6) = n5
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (6) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 59.73/21.49 | (131) pred(n3) = n2
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (59) with n6, n5, n5 and discharging atoms succ(n5) = n6, gt(n6, n5) = 0, yields:
% 59.73/21.49 | (132) leq(n5, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, n4 and discharging atoms gt(n5, n4) = 0, yields:
% 59.73/21.49 | (133) leq(n4, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, n3 and discharging atoms gt(n5, n3) = 0, yields:
% 59.73/21.49 | (134) leq(n3, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, n2 and discharging atoms gt(n5, n2) = 0, yields:
% 59.73/21.49 | (135) leq(n2, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, n1 and discharging atoms gt(n5, n1) = 0, yields:
% 59.73/21.49 | (136) leq(n1, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, tptp_minus_1 and discharging atoms gt(n5, tptp_minus_1) = 0, yields:
% 59.73/21.49 | (137) leq(tptp_minus_1, n5) = 0
% 59.73/21.49 |
% 59.73/21.49 | Instantiating formula (110) with n5, n0 and discharging atoms gt(n5, n0) = 0, yields:
% 59.73/21.50 | (138) leq(n0, n5) = 0
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (59) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields:
% 59.73/21.50 | (139) leq(n2, n2) = 0
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (110) with n2, n1 and discharging atoms gt(n2, n1) = 0, yields:
% 59.73/21.50 | (140) leq(n1, n2) = 0
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (110) with n2, tptp_minus_1 and discharging atoms gt(n2, tptp_minus_1) = 0, yields:
% 59.73/21.50 | (141) leq(tptp_minus_1, n2) = 0
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (110) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 59.73/21.50 | (142) leq(n0, n2) = 0
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (37) with n6, n5, all_0_9_9 and discharging atoms pred(n6) = all_0_9_9, pred(n6) = n5, yields:
% 59.73/21.50 | (143) all_0_9_9 = n5
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (37) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 59.73/21.50 | (144) all_0_8_8 = n2
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n5, n5 yields:
% 59.73/21.50 | (145) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n5) = v3 & a_select3(pminus_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n5, n5 yields:
% 59.73/21.50 | (146) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n5) = v3 & a_select3(q_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n4, n5 yields:
% 59.73/21.50 | (147) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n5, n4 yields:
% 59.73/21.50 | (148) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n4, n5 yields:
% 59.73/21.50 | (149) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n5, n4 yields:
% 59.73/21.50 | (150) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n4, n4 yields:
% 59.73/21.50 | (151) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n4) = v3 & a_select3(pminus_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n4, n4 yields:
% 59.73/21.50 | (152) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n4) = v3 & a_select3(q_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n3, n5 yields:
% 59.73/21.50 | (153) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n5, n3 yields:
% 59.73/21.50 | (154) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n3, n5 yields:
% 59.73/21.50 | (155) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n5, n3 yields:
% 59.73/21.50 | (156) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n3, n4 yields:
% 59.73/21.50 | (157) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n4, n3 yields:
% 59.73/21.50 | (158) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n3, n4 yields:
% 59.73/21.50 | (159) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n4, n3 yields:
% 59.73/21.50 | (160) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n3, n3 yields:
% 59.73/21.50 | (161) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n3) = v3 & a_select3(pminus_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (107) with n3, n3 yields:
% 59.73/21.50 | (162) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n3) = v3 & a_select3(q_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n2, n5 yields:
% 59.73/21.50 | (163) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.73/21.50 |
% 59.73/21.50 | Instantiating formula (52) with n5, n2 yields:
% 59.73/21.50 | (164) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.50 |
% 59.80/21.50 | Instantiating formula (107) with n2, n5 yields:
% 59.80/21.50 | (165) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n5, n2 yields:
% 59.80/21.51 | (166) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n2, n4 yields:
% 59.80/21.51 | (167) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n4, n2 yields:
% 59.80/21.51 | (168) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n2, n4 yields:
% 59.80/21.51 | (169) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n4, n2 yields:
% 59.80/21.51 | (170) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n2, n3 yields:
% 59.80/21.51 | (171) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n3, n2 yields:
% 59.80/21.51 | (172) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n2, n3 yields:
% 59.80/21.51 | (173) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n3, n2 yields:
% 59.80/21.51 | (174) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n2, n2 yields:
% 59.80/21.51 | (175) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n2) = v3 & a_select3(pminus_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n2, n2 yields:
% 59.80/21.51 | (176) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n2) = v3 & a_select3(q_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (68) with n2, n2 yields:
% 59.80/21.51 | (177) ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n2) = v3 & a_select3(r_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n1, n5 yields:
% 59.80/21.51 | (178) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v2 & a_select3(pminus_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n5, n1 yields:
% 59.80/21.51 | (179) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n1, n5 yields:
% 59.80/21.51 | (180) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n5, n1 yields:
% 59.80/21.51 | (181) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v3 & a_select3(q_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n1, n4 yields:
% 59.80/21.51 | (182) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v2 & a_select3(pminus_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n4, n1 yields:
% 59.80/21.51 | (183) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v3 & a_select3(pminus_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n1, n4 yields:
% 59.80/21.51 | (184) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v2 & a_select3(q_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n4, n1 yields:
% 59.80/21.51 | (185) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n1, n3 yields:
% 59.80/21.51 | (186) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n3, n1 yields:
% 59.80/21.51 | (187) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n1, n3 yields:
% 59.80/21.51 | (188) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n3, n1 yields:
% 59.80/21.51 | (189) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n1, n2 yields:
% 59.80/21.51 | (190) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (52) with n2, n1 yields:
% 59.80/21.51 | (191) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.51 |
% 59.80/21.51 | Instantiating formula (107) with n1, n2 yields:
% 59.80/21.51 | (192) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n2, n1 yields:
% 59.80/21.52 | (193) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n1, n1 yields:
% 59.80/21.52 | (194) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n1) = v3 & a_select3(pminus_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n1, n1 yields:
% 59.80/21.52 | (195) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n1) = v3 & a_select3(q_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (68) with n1, n2 yields:
% 59.80/21.52 | (196) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v2 & a_select3(r_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (68) with n2, n1 yields:
% 59.80/21.52 | (197) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v3 & a_select3(r_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (68) with n1, n1 yields:
% 59.80/21.52 | (198) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n1) = v3 & a_select3(r_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, n5 yields:
% 59.80/21.52 | (199) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n5, tptp_minus_1 yields:
% 59.80/21.52 | (200) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with tptp_minus_1, n5 yields:
% 59.80/21.52 | (201) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n5, tptp_minus_1 yields:
% 59.80/21.52 | (202) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, n4 yields:
% 59.80/21.52 | (203) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n4, tptp_minus_1 yields:
% 59.80/21.52 | (204) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with tptp_minus_1, n4 yields:
% 59.80/21.52 | (205) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n4, tptp_minus_1 yields:
% 59.80/21.52 | (206) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, n3 yields:
% 59.80/21.52 | (207) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n3, tptp_minus_1 yields:
% 59.80/21.52 | (208) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with tptp_minus_1, n3 yields:
% 59.80/21.52 | (209) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n3, tptp_minus_1 yields:
% 59.80/21.52 | (210) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, n2 yields:
% 59.80/21.52 | (211) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n2, tptp_minus_1 yields:
% 59.80/21.52 | (212) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with tptp_minus_1, n2 yields:
% 59.80/21.52 | (213) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n2, tptp_minus_1 yields:
% 59.80/21.52 | (214) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, n1 yields:
% 59.80/21.52 | (215) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with n1, tptp_minus_1 yields:
% 59.80/21.52 | (216) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with tptp_minus_1, n1 yields:
% 59.80/21.52 | (217) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (107) with n1, tptp_minus_1 yields:
% 59.80/21.52 | (218) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.52 |
% 59.80/21.52 | Instantiating formula (52) with tptp_minus_1, tptp_minus_1 yields:
% 59.80/21.52 | (219) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (107) with tptp_minus_1, tptp_minus_1 yields:
% 59.80/21.53 | (220) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (68) with tptp_minus_1, n2 yields:
% 59.80/21.53 | (221) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (68) with n2, tptp_minus_1 yields:
% 59.80/21.53 | (222) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (68) with tptp_minus_1, n1 yields:
% 59.80/21.53 | (223) ~ (leq(n1, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (68) with n1, tptp_minus_1 yields:
% 59.80/21.53 | (224) ~ (leq(n1, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (68) with tptp_minus_1, tptp_minus_1 yields:
% 59.80/21.53 | (225) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (52) with n0, n5 yields:
% 59.80/21.53 | (226) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (52) with n5, n0 yields:
% 59.80/21.53 | (227) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (107) with n0, n5 yields:
% 59.80/21.53 | (228) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (107) with n5, n0 yields:
% 59.80/21.53 | (229) ~ (leq(n5, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (52) with n0, n4 yields:
% 59.80/21.53 | (230) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (52) with n4, n0 yields:
% 59.80/21.53 | (231) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (107) with n0, n4 yields:
% 59.80/21.53 | (232) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (107) with n4, n0 yields:
% 59.80/21.53 | (233) ~ (leq(n4, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.80/21.53 |
% 59.80/21.53 | Instantiating formula (52) with n0, n3 yields:
% 59.80/21.53 | (234) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n3, n0 yields:
% 59.90/21.53 | (235) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n0, n3 yields:
% 59.90/21.53 | (236) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n3, n0 yields:
% 59.90/21.53 | (237) ~ (leq(n3, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n0, n2 yields:
% 59.90/21.53 | (238) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n2, n0 yields:
% 59.90/21.53 | (239) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n0, n2 yields:
% 59.90/21.53 | (240) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n2, n0 yields:
% 59.90/21.53 | (241) ~ (leq(n2, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n0, n1 yields:
% 59.90/21.53 | (242) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n1, n0 yields:
% 59.90/21.53 | (243) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n0, n1 yields:
% 59.90/21.53 | (244) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (107) with n1, n0 yields:
% 59.90/21.53 | (245) ~ (leq(n1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.53 |
% 59.90/21.53 | Instantiating formula (52) with n0, tptp_minus_1 yields:
% 59.90/21.53 | (246) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (52) with tptp_minus_1, n0 yields:
% 59.90/21.54 | (247) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (107) with n0, tptp_minus_1 yields:
% 59.90/21.54 | (248) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (107) with tptp_minus_1, n0 yields:
% 59.90/21.54 | (249) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (52) with n0, n0 yields:
% 59.90/21.54 | (250) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n0, n0) = v3 & a_select3(pminus_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (107) with n0, n0 yields:
% 59.90/21.54 | (251) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n0, n0) = v3 & a_select3(q_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n0, n2 yields:
% 59.90/21.54 | (252) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v2 & a_select3(r_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n2, n0 yields:
% 59.90/21.54 | (253) ~ (leq(n2, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v3 & a_select3(r_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n0, n1 yields:
% 59.90/21.54 | (254) ~ (leq(n1, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v2 & a_select3(r_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n1, n0 yields:
% 59.90/21.54 | (255) ~ (leq(n1, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v3 & a_select3(r_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n0, tptp_minus_1 yields:
% 59.90/21.54 | (256) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with tptp_minus_1, n0 yields:
% 59.90/21.54 | (257) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating formula (68) with n0, n0 yields:
% 59.90/21.54 | (258) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n0, n0) = v3 & a_select3(r_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 +-Applying beta-rule and splitting (12), into two cases.
% 59.90/21.54 |-Branch one:
% 59.90/21.54 | (259) (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)
% 59.90/21.54 |
% 59.90/21.54 +-Applying beta-rule and splitting (259), into two cases.
% 59.90/21.54 |-Branch one:
% 59.90/21.54 | (260) 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
% 59.90/21.54 |
% 59.90/21.54 | Applying alpha-rule on (260) yields:
% 59.90/21.54 | (261) all_0_4_4 = 0
% 59.90/21.54 | (262) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 59.90/21.54 | (263) all_0_3_3 = 0
% 59.90/21.54 | (264) leq(n0, all_0_6_6) = 0
% 59.90/21.54 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 59.90/21.54 | (266) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 59.90/21.54 | (267) ~ (all_0_0_0 = all_0_1_1)
% 59.90/21.54 | (268) all_0_5_5 = 0
% 59.90/21.54 | (269) all_0_2_2 = 0
% 59.90/21.54 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 59.90/21.54 | (271) leq(n0, all_0_7_7) = 0
% 59.90/21.54 |
% 59.90/21.54 | From (143) and (265) follows:
% 59.90/21.54 | (272) leq(all_0_6_6, n5) = 0
% 59.90/21.54 |
% 59.90/21.54 | From (143) and (270) follows:
% 59.90/21.54 | (273) leq(all_0_7_7, n5) = 0
% 59.90/21.54 |
% 59.90/21.54 +-Applying beta-rule and splitting (145), into two cases.
% 59.90/21.54 |-Branch one:
% 59.90/21.54 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.54 |
% 59.90/21.54 | From (143) and (274) follows:
% 59.90/21.54 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.54 |
% 59.90/21.54 | Using (132) and (275) yields:
% 59.90/21.54 | (276) $false
% 59.90/21.54 |
% 59.90/21.54 |-The branch is then unsatisfiable
% 59.90/21.54 |-Branch two:
% 59.90/21.54 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.54 | (278) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n5) = v3 & a_select3(pminus_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.54 |
% 59.90/21.54 | Instantiating (278) with all_52_0_22, all_52_1_23, all_52_2_24, all_52_3_25 yields:
% 59.90/21.54 | (279) a_select3(pminus_ds1_filter, n5, n5) = all_52_0_22 & a_select3(pminus_ds1_filter, n5, n5) = all_52_1_23 & leq(n0, n5) = all_52_2_24 & leq(n0, n5) = all_52_3_25 & ( ~ (all_52_2_24 = 0) | ~ (all_52_3_25 = 0) | all_52_0_22 = all_52_1_23)
% 59.90/21.54 |
% 59.90/21.54 | Applying alpha-rule on (279) yields:
% 59.90/21.54 | (280) a_select3(pminus_ds1_filter, n5, n5) = all_52_0_22
% 59.90/21.54 | (281) leq(n0, n5) = all_52_3_25
% 59.90/21.54 | (282) leq(n0, n5) = all_52_2_24
% 59.90/21.54 | (283) a_select3(pminus_ds1_filter, n5, n5) = all_52_1_23
% 59.90/21.54 | (284) ~ (all_52_2_24 = 0) | ~ (all_52_3_25 = 0) | all_52_0_22 = all_52_1_23
% 59.90/21.54 |
% 59.90/21.54 | From (143) and (277) follows:
% 59.90/21.54 | (132) leq(n5, n5) = 0
% 59.90/21.54 |
% 59.90/21.54 +-Applying beta-rule and splitting (146), into two cases.
% 59.90/21.54 |-Branch one:
% 59.90/21.54 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.54 |
% 59.90/21.54 | From (143) and (274) follows:
% 59.90/21.54 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.54 |
% 59.90/21.54 | Using (132) and (275) yields:
% 59.90/21.54 | (276) $false
% 59.90/21.54 |
% 59.90/21.54 |-The branch is then unsatisfiable
% 59.90/21.54 |-Branch two:
% 59.90/21.54 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.54 | (290) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n5) = v3 & a_select3(q_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | Instantiating (290) with all_57_0_26, all_57_1_27, all_57_2_28, all_57_3_29 yields:
% 59.90/21.55 | (291) a_select3(q_ds1_filter, n5, n5) = all_57_0_26 & a_select3(q_ds1_filter, n5, n5) = all_57_1_27 & leq(n0, n5) = all_57_2_28 & leq(n0, n5) = all_57_3_29 & ( ~ (all_57_2_28 = 0) | ~ (all_57_3_29 = 0) | all_57_0_26 = all_57_1_27)
% 59.90/21.55 |
% 59.90/21.55 | Applying alpha-rule on (291) yields:
% 59.90/21.55 | (292) leq(n0, n5) = all_57_3_29
% 59.90/21.55 | (293) leq(n0, n5) = all_57_2_28
% 59.90/21.55 | (294) ~ (all_57_2_28 = 0) | ~ (all_57_3_29 = 0) | all_57_0_26 = all_57_1_27
% 59.90/21.55 | (295) a_select3(q_ds1_filter, n5, n5) = all_57_1_27
% 59.90/21.55 | (296) a_select3(q_ds1_filter, n5, n5) = all_57_0_26
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (277) follows:
% 59.90/21.55 | (132) leq(n5, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (151), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (298) follows:
% 59.90/21.55 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (133) and (299) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.55 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n4) = v3 & a_select3(pminus_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (301) follows:
% 59.90/21.55 | (133) leq(n4, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (152), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (298) follows:
% 59.90/21.55 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (133) and (299) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.55 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n4) = v3 & a_select3(q_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (301) follows:
% 59.90/21.55 | (133) leq(n4, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (175), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (310) follows:
% 59.90/21.55 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (135) and (311) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.55 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n2) = v3 & a_select3(pminus_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (313) follows:
% 59.90/21.55 | (135) leq(n2, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (161), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (316) follows:
% 59.90/21.55 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (134) and (317) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.55 | (320) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n3) = v3 & a_select3(pminus_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (319) follows:
% 59.90/21.55 | (134) leq(n3, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (162), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (316) follows:
% 59.90/21.55 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (134) and (317) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.55 | (326) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n3) = v3 & a_select3(q_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (319) follows:
% 59.90/21.55 | (134) leq(n3, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (176), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (310) follows:
% 59.90/21.55 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (135) and (311) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.55 | (332) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n2) = v3 & a_select3(q_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (313) follows:
% 59.90/21.55 | (135) leq(n2, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (194), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (334) follows:
% 59.90/21.55 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (136) and (335) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.55 | (338) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n1) = v3 & a_select3(pminus_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (337) follows:
% 59.90/21.55 | (136) leq(n1, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (195), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (334) follows:
% 59.90/21.55 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (136) and (335) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.55 | (344) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n1) = v3 & a_select3(q_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (337) follows:
% 59.90/21.55 | (136) leq(n1, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (219), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (346) follows:
% 59.90/21.55 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (137) and (347) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.55 | (350) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (349) follows:
% 59.90/21.55 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (220), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (346) follows:
% 59.90/21.55 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (137) and (347) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.55 | (356) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (349) follows:
% 59.90/21.55 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.55 |
% 59.90/21.55 +-Applying beta-rule and splitting (250), into two cases.
% 59.90/21.55 |-Branch one:
% 59.90/21.55 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 59.90/21.55 |
% 59.90/21.55 | From (143) and (358) follows:
% 59.90/21.55 | (359) ~ (leq(n0, n5) = 0)
% 59.90/21.55 |
% 59.90/21.55 | Using (138) and (359) yields:
% 59.90/21.55 | (276) $false
% 59.90/21.55 |
% 59.90/21.55 |-The branch is then unsatisfiable
% 59.90/21.55 |-Branch two:
% 59.90/21.55 | (361) leq(n0, all_0_9_9) = 0
% 59.90/21.55 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n0, n0) = v3 & a_select3(pminus_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (361) follows:
% 59.90/21.56 | (138) leq(n0, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (251), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (358) follows:
% 59.90/21.56 | (359) ~ (leq(n0, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (138) and (359) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (361) leq(n0, all_0_9_9) = 0
% 59.90/21.56 | (368) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n0, n0) = v3 & a_select3(q_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (361) follows:
% 59.90/21.56 | (138) leq(n0, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (234), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (316) follows:
% 59.90/21.56 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (134) and (317) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.56 | (374) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (319) follows:
% 59.90/21.56 | (134) leq(n3, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (235), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (316) follows:
% 59.90/21.56 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (134) and (317) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.56 | (380) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (319) follows:
% 59.90/21.56 | (134) leq(n3, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (214), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (386) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (193), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (392) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (236), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (316) follows:
% 59.90/21.56 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (134) and (317) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.56 | (398) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (319) follows:
% 59.90/21.56 | (134) leq(n3, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (237), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (316) follows:
% 59.90/21.56 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (134) and (317) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.56 | (404) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (319) follows:
% 59.90/21.56 | (134) leq(n3, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (240), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (410) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (238), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (416) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (239), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (422) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (212), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.56 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.56 | (428) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (313) follows:
% 59.90/21.56 | (135) leq(n2, n5) = 0
% 59.90/21.56 |
% 59.90/21.56 +-Applying beta-rule and splitting (241), into two cases.
% 59.90/21.56 |-Branch one:
% 59.90/21.56 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.56 |
% 59.90/21.56 | From (143) and (310) follows:
% 59.90/21.56 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.56 |
% 59.90/21.56 | Using (135) and (311) yields:
% 59.90/21.56 | (276) $false
% 59.90/21.56 |
% 59.90/21.56 |-The branch is then unsatisfiable
% 59.90/21.56 |-Branch two:
% 59.90/21.57 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.57 | (434) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (313) follows:
% 59.90/21.57 | (135) leq(n2, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (246), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (346) follows:
% 59.90/21.57 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (137) and (347) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.57 | (440) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (349) follows:
% 59.90/21.57 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (247), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (346) follows:
% 59.90/21.57 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (137) and (347) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.57 | (446) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (349) follows:
% 59.90/21.57 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (242), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (334) follows:
% 59.90/21.57 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (136) and (335) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.57 | (452) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (337) follows:
% 59.90/21.57 | (136) leq(n1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (243), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (334) follows:
% 59.90/21.57 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (136) and (335) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.57 | (458) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (337) follows:
% 59.90/21.57 | (136) leq(n1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (244), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (334) follows:
% 59.90/21.57 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (136) and (335) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.57 | (464) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (337) follows:
% 59.90/21.57 | (136) leq(n1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (213), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (310) follows:
% 59.90/21.57 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (135) and (311) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.57 | (470) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (313) follows:
% 59.90/21.57 | (135) leq(n2, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (208), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (316) follows:
% 59.90/21.57 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (134) and (317) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.57 | (476) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (319) follows:
% 59.90/21.57 | (134) leq(n3, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (216), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (334) follows:
% 59.90/21.57 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (136) and (335) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.57 | (482) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (337) follows:
% 59.90/21.57 | (136) leq(n1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (217), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (334) follows:
% 59.90/21.57 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (136) and (335) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.57 | (488) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (337) follows:
% 59.90/21.57 | (136) leq(n1, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (209), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (316) follows:
% 59.90/21.57 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (134) and (317) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.57 | (494) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (319) follows:
% 59.90/21.57 | (134) leq(n3, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (210), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (316) follows:
% 59.90/21.57 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (134) and (317) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.57 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.57 | (500) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (319) follows:
% 59.90/21.57 | (134) leq(n3, n5) = 0
% 59.90/21.57 |
% 59.90/21.57 +-Applying beta-rule and splitting (211), into two cases.
% 59.90/21.57 |-Branch one:
% 59.90/21.57 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.57 |
% 59.90/21.57 | From (143) and (310) follows:
% 59.90/21.57 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.57 |
% 59.90/21.57 | Using (135) and (311) yields:
% 59.90/21.57 | (276) $false
% 59.90/21.57 |
% 59.90/21.57 |-The branch is then unsatisfiable
% 59.90/21.57 |-Branch two:
% 59.90/21.58 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.58 | (506) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (313) follows:
% 59.90/21.58 | (135) leq(n2, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (199), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (274) follows:
% 59.90/21.58 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (132) and (275) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.58 | (512) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (277) follows:
% 59.90/21.58 | (132) leq(n5, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (215), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (334) follows:
% 59.90/21.58 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (136) and (335) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.58 | (518) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (337) follows:
% 59.90/21.58 | (136) leq(n1, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (204), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (298) follows:
% 59.90/21.58 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (133) and (299) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.58 | (524) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (301) follows:
% 59.90/21.58 | (133) leq(n4, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (245), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (334) follows:
% 59.90/21.58 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (136) and (335) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.58 | (530) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (337) follows:
% 59.90/21.58 | (136) leq(n1, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (248), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (346) follows:
% 59.90/21.58 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (137) and (347) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.58 | (536) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (349) follows:
% 59.90/21.58 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (249), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (346) follows:
% 59.90/21.58 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (137) and (347) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.58 | (542) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (349) follows:
% 59.90/21.58 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (205), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (298) follows:
% 59.90/21.58 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (133) and (299) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.58 | (548) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (301) follows:
% 59.90/21.58 | (133) leq(n4, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (218), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (334) follows:
% 59.90/21.58 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (136) and (335) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.58 | (554) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (337) follows:
% 59.90/21.58 | (136) leq(n1, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (200), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (274) follows:
% 59.90/21.58 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (132) and (275) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.58 | (560) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (277) follows:
% 59.90/21.58 | (132) leq(n5, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (169), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (298) follows:
% 59.90/21.58 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (133) and (299) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.58 | (566) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (301) follows:
% 59.90/21.58 | (133) leq(n4, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (170), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (298) follows:
% 59.90/21.58 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (133) and (299) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.58 | (572) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (301) follows:
% 59.90/21.58 | (133) leq(n4, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (163), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (274) follows:
% 59.90/21.58 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (132) and (275) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.58 | (578) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (277) follows:
% 59.90/21.58 | (132) leq(n5, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (164), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (274) follows:
% 59.90/21.58 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.58 |
% 59.90/21.58 | Using (132) and (275) yields:
% 59.90/21.58 | (276) $false
% 59.90/21.58 |
% 59.90/21.58 |-The branch is then unsatisfiable
% 59.90/21.58 |-Branch two:
% 59.90/21.58 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.58 | (584) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (277) follows:
% 59.90/21.58 | (132) leq(n5, n5) = 0
% 59.90/21.58 |
% 59.90/21.58 +-Applying beta-rule and splitting (173), into two cases.
% 59.90/21.58 |-Branch one:
% 59.90/21.58 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.58 |
% 59.90/21.58 | From (143) and (316) follows:
% 59.90/21.58 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.58 |
% 59.90/21.59 | Using (134) and (317) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.59 | (590) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (319) follows:
% 59.90/21.59 | (134) leq(n3, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (174), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (316) follows:
% 59.90/21.59 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (134) and (317) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.59 | (596) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (319) follows:
% 59.90/21.59 | (134) leq(n3, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (165), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (602) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (149), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (608) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (167), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (298) follows:
% 59.90/21.59 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (133) and (299) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.59 | (614) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (301) follows:
% 59.90/21.59 | (133) leq(n4, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (201), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (620) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (202), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (626) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (150), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (632) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (147), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (638) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (166), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (274) follows:
% 59.90/21.59 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (132) and (275) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.59 | (644) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (277) follows:
% 59.90/21.59 | (132) leq(n5, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (168), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (298) follows:
% 59.90/21.59 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (133) and (299) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.59 | (650) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (301) follows:
% 59.90/21.59 | (133) leq(n4, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (157), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (298) follows:
% 59.90/21.59 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (133) and (299) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.59 | (656) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (301) follows:
% 59.90/21.59 | (133) leq(n4, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (171), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (316) follows:
% 59.90/21.59 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (134) and (317) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.59 | (662) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (319) follows:
% 59.90/21.59 | (134) leq(n3, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (158), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (298) follows:
% 59.90/21.59 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (133) and (299) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.59 |
% 59.90/21.59 |-The branch is then unsatisfiable
% 59.90/21.59 |-Branch two:
% 59.90/21.59 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.59 | (668) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (301) follows:
% 59.90/21.59 | (133) leq(n4, n5) = 0
% 59.90/21.59 |
% 59.90/21.59 +-Applying beta-rule and splitting (172), into two cases.
% 59.90/21.59 |-Branch one:
% 59.90/21.59 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.59 |
% 59.90/21.59 | From (143) and (316) follows:
% 59.90/21.59 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.59 |
% 59.90/21.59 | Using (134) and (317) yields:
% 59.90/21.59 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.60 | (674) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (319) follows:
% 59.90/21.60 | (134) leq(n3, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (203), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (298) follows:
% 59.90/21.60 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (133) and (299) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.60 | (680) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (301) follows:
% 59.90/21.60 | (133) leq(n4, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (206), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (298) follows:
% 59.90/21.60 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (133) and (299) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.60 | (686) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (301) follows:
% 59.90/21.60 | (133) leq(n4, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (207), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (316) follows:
% 59.90/21.60 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (134) and (317) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.60 | (692) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (319) follows:
% 59.90/21.60 | (134) leq(n3, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (226), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (698) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (153), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (704) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (154), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (710) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (155), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (716) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (156), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (722) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (159), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (298) follows:
% 59.90/21.60 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (133) and (299) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.60 | (728) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (301) follows:
% 59.90/21.60 | (133) leq(n4, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (160), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (298) follows:
% 59.90/21.60 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (133) and (299) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.60 | (734) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (301) follows:
% 59.90/21.60 | (133) leq(n4, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (227), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (740) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (228), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (746) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (148), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (752) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (229), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (274) follows:
% 59.90/21.60 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.60 |
% 59.90/21.60 | Using (132) and (275) yields:
% 59.90/21.60 | (276) $false
% 59.90/21.60 |
% 59.90/21.60 |-The branch is then unsatisfiable
% 59.90/21.60 |-Branch two:
% 59.90/21.60 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.60 | (758) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.60 |
% 59.90/21.60 | From (143) and (277) follows:
% 59.90/21.60 | (132) leq(n5, n5) = 0
% 59.90/21.60 |
% 59.90/21.60 +-Applying beta-rule and splitting (232), into two cases.
% 59.90/21.60 |-Branch one:
% 59.90/21.60 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (298) follows:
% 59.90/21.61 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (133) and (299) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.61 | (764) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (301) follows:
% 59.90/21.61 | (133) leq(n4, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (230), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (298) follows:
% 59.90/21.61 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (133) and (299) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.61 | (770) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (301) follows:
% 59.90/21.61 | (133) leq(n4, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (231), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (298) follows:
% 59.90/21.61 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (133) and (299) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.61 | (776) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (301) follows:
% 59.90/21.61 | (133) leq(n4, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (233), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (298) follows:
% 59.90/21.61 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (133) and (299) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.61 | (782) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (301) follows:
% 59.90/21.61 | (133) leq(n4, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (179), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (274) follows:
% 59.90/21.61 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (132) and (275) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.61 | (788) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (277) follows:
% 59.90/21.61 | (132) leq(n5, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (180), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (274) follows:
% 59.90/21.61 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (132) and (275) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.61 | (794) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (277) follows:
% 59.90/21.61 | (132) leq(n5, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (189), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (316) follows:
% 59.90/21.61 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (134) and (317) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.61 | (800) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (319) follows:
% 59.90/21.61 | (134) leq(n3, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (190), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (310) follows:
% 59.90/21.61 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (135) and (311) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.61 | (806) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (313) follows:
% 59.90/21.61 | (135) leq(n2, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (185), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (298) follows:
% 59.90/21.61 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (133) and (299) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.61 | (812) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (301) follows:
% 59.90/21.61 | (133) leq(n4, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (186), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (316) follows:
% 59.90/21.61 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (134) and (317) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.61 | (818) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (319) follows:
% 59.90/21.61 | (134) leq(n3, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (187), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (316) follows:
% 59.90/21.61 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (134) and (317) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.61 | (824) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (319) follows:
% 59.90/21.61 | (134) leq(n3, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (188), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (316) follows:
% 59.90/21.61 | (317) ~ (leq(n3, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (134) and (317) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (319) leq(n3, all_0_9_9) = 0
% 59.90/21.61 | (830) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (319) follows:
% 59.90/21.61 | (134) leq(n3, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (191), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (310) follows:
% 59.90/21.61 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (135) and (311) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.61 | (836) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (313) follows:
% 59.90/21.61 | (135) leq(n2, n5) = 0
% 59.90/21.61 |
% 59.90/21.61 +-Applying beta-rule and splitting (192), into two cases.
% 59.90/21.61 |-Branch one:
% 59.90/21.61 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 59.90/21.61 |
% 59.90/21.61 | From (143) and (310) follows:
% 59.90/21.61 | (311) ~ (leq(n2, n5) = 0)
% 59.90/21.61 |
% 59.90/21.61 | Using (135) and (311) yields:
% 59.90/21.61 | (276) $false
% 59.90/21.61 |
% 59.90/21.61 |-The branch is then unsatisfiable
% 59.90/21.61 |-Branch two:
% 59.90/21.61 | (313) leq(n2, all_0_9_9) = 0
% 59.90/21.61 | (842) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (313) follows:
% 59.90/21.62 | (135) leq(n2, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (178), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (274) follows:
% 59.90/21.62 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (132) and (275) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.62 | (848) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v2 & a_select3(pminus_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (277) follows:
% 59.90/21.62 | (132) leq(n5, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (183), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (298) follows:
% 59.90/21.62 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (133) and (299) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.62 | (854) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v3 & a_select3(pminus_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (301) follows:
% 59.90/21.62 | (133) leq(n4, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (181), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (274) follows:
% 59.90/21.62 | (275) ~ (leq(n5, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (132) and (275) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (277) leq(n5, all_0_9_9) = 0
% 59.90/21.62 | (860) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v3 & a_select3(q_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (277) follows:
% 59.90/21.62 | (132) leq(n5, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (182), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (298) follows:
% 59.90/21.62 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (133) and (299) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.62 | (866) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v2 & a_select3(pminus_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (301) follows:
% 59.90/21.62 | (133) leq(n4, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (184), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (298) follows:
% 59.90/21.62 | (299) ~ (leq(n4, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (133) and (299) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (301) leq(n4, all_0_9_9) = 0
% 59.90/21.62 | (872) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v2 & a_select3(q_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (301) follows:
% 59.90/21.62 | (133) leq(n4, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (374), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (358) follows:
% 59.90/21.62 | (359) ~ (leq(n0, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (138) and (359) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (361) leq(n0, all_0_9_9) = 0
% 59.90/21.62 | (878) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (361) follows:
% 59.90/21.62 | (138) leq(n0, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (380), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (358) follows:
% 59.90/21.62 | (359) ~ (leq(n0, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (138) and (359) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (361) leq(n0, all_0_9_9) = 0
% 59.90/21.62 | (884) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (361) follows:
% 59.90/21.62 | (138) leq(n0, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (386), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (346) follows:
% 59.90/21.62 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (137) and (347) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 59.90/21.62 | (890) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (349) follows:
% 59.90/21.62 | (137) leq(tptp_minus_1, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (392), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (334) follows:
% 59.90/21.62 | (335) ~ (leq(n1, n5) = 0)
% 59.90/21.62 |
% 59.90/21.62 | Using (136) and (335) yields:
% 59.90/21.62 | (276) $false
% 59.90/21.62 |
% 59.90/21.62 |-The branch is then unsatisfiable
% 59.90/21.62 |-Branch two:
% 59.90/21.62 | (337) leq(n1, all_0_9_9) = 0
% 59.90/21.62 | (896) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (337) follows:
% 59.90/21.62 | (136) leq(n1, n5) = 0
% 59.90/21.62 |
% 59.90/21.62 +-Applying beta-rule and splitting (398), into two cases.
% 59.90/21.62 |-Branch one:
% 59.90/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 59.90/21.62 |
% 59.90/21.62 | From (143) and (358) follows:
% 59.90/21.62 | (359) ~ (leq(n0, n5) = 0)
% 59.90/21.62 |
% 60.31/21.62 | Using (138) and (359) yields:
% 60.31/21.62 | (276) $false
% 60.31/21.62 |
% 60.31/21.62 |-The branch is then unsatisfiable
% 60.31/21.62 |-Branch two:
% 60.31/21.62 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.62 | (902) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (361) follows:
% 60.31/21.62 | (138) leq(n0, n5) = 0
% 60.31/21.62 |
% 60.31/21.62 +-Applying beta-rule and splitting (404), into two cases.
% 60.31/21.62 |-Branch one:
% 60.31/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (358) follows:
% 60.31/21.62 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.62 |
% 60.31/21.62 | Using (138) and (359) yields:
% 60.31/21.62 | (276) $false
% 60.31/21.62 |
% 60.31/21.62 |-The branch is then unsatisfiable
% 60.31/21.62 |-Branch two:
% 60.31/21.62 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.62 | (908) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (361) follows:
% 60.31/21.62 | (138) leq(n0, n5) = 0
% 60.31/21.62 |
% 60.31/21.62 +-Applying beta-rule and splitting (410), into two cases.
% 60.31/21.62 |-Branch one:
% 60.31/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (358) follows:
% 60.31/21.62 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.62 |
% 60.31/21.62 | Using (138) and (359) yields:
% 60.31/21.62 | (276) $false
% 60.31/21.62 |
% 60.31/21.62 |-The branch is then unsatisfiable
% 60.31/21.62 |-Branch two:
% 60.31/21.62 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.62 | (914) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (361) follows:
% 60.31/21.62 | (138) leq(n0, n5) = 0
% 60.31/21.62 |
% 60.31/21.62 +-Applying beta-rule and splitting (416), into two cases.
% 60.31/21.62 |-Branch one:
% 60.31/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (358) follows:
% 60.31/21.62 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.62 |
% 60.31/21.62 | Using (138) and (359) yields:
% 60.31/21.62 | (276) $false
% 60.31/21.62 |
% 60.31/21.62 |-The branch is then unsatisfiable
% 60.31/21.62 |-Branch two:
% 60.31/21.62 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.62 | (920) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (361) follows:
% 60.31/21.62 | (138) leq(n0, n5) = 0
% 60.31/21.62 |
% 60.31/21.62 +-Applying beta-rule and splitting (422), into two cases.
% 60.31/21.62 |-Branch one:
% 60.31/21.62 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.62 |
% 60.31/21.62 | From (143) and (358) follows:
% 60.31/21.62 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.62 |
% 60.31/21.62 | Using (138) and (359) yields:
% 60.31/21.62 | (276) $false
% 60.31/21.62 |
% 60.31/21.62 |-The branch is then unsatisfiable
% 60.31/21.62 |-Branch two:
% 60.31/21.62 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.62 | (926) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (428), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (932) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (434), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (938) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (440), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (944) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (446), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (950) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (452), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (956) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (458), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (962) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (464), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (358) follows:
% 60.31/21.63 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (138) and (359) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.63 | (968) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (361) follows:
% 60.31/21.63 | (138) leq(n0, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (470), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (974) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (476), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (980) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (482), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (986) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (488), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (992) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (494), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (998) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (500), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (1004) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (506), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (1010) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (349) follows:
% 60.31/21.63 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.63 |
% 60.31/21.63 +-Applying beta-rule and splitting (512), into two cases.
% 60.31/21.63 |-Branch one:
% 60.31/21.63 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.63 |
% 60.31/21.63 | From (143) and (346) follows:
% 60.31/21.63 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.63 |
% 60.31/21.63 | Using (137) and (347) yields:
% 60.31/21.63 | (276) $false
% 60.31/21.63 |
% 60.31/21.63 |-The branch is then unsatisfiable
% 60.31/21.63 |-Branch two:
% 60.31/21.63 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.63 | (1016) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.63 |
% 60.31/21.64 | Instantiating (1016) with all_624_0_209, all_624_1_210, all_624_2_211, all_624_3_212 yields:
% 60.31/21.64 | (1017) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_624_1_210 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_624_0_209 & leq(n0, n5) = all_624_3_212 & leq(n0, tptp_minus_1) = all_624_2_211 & ( ~ (all_624_2_211 = 0) | ~ (all_624_3_212 = 0) | all_624_0_209 = all_624_1_210)
% 60.31/21.64 |
% 60.31/21.64 | Applying alpha-rule on (1017) yields:
% 60.31/21.64 | (1018) leq(n0, n5) = all_624_3_212
% 60.31/21.64 | (1019) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_624_1_210
% 60.31/21.64 | (1020) leq(n0, tptp_minus_1) = all_624_2_211
% 60.31/21.64 | (1021) a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_624_0_209
% 60.31/21.64 | (1022) ~ (all_624_2_211 = 0) | ~ (all_624_3_212 = 0) | all_624_0_209 = all_624_1_210
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (518), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (346) follows:
% 60.31/21.64 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (137) and (347) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.64 | (1028) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (524), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (346) follows:
% 60.31/21.64 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (137) and (347) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.64 | (1034) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (530), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (358) follows:
% 60.31/21.64 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (138) and (359) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.64 | (1040) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (361) follows:
% 60.31/21.64 | (138) leq(n0, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (536), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (358) follows:
% 60.31/21.64 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (138) and (359) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.64 | (1046) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (361) follows:
% 60.31/21.64 | (138) leq(n0, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (542), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (358) follows:
% 60.31/21.64 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (138) and (359) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.64 | (1052) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (361) follows:
% 60.31/21.64 | (138) leq(n0, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (548), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (346) follows:
% 60.31/21.64 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (137) and (347) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.64 | (1058) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (554), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (346) follows:
% 60.31/21.64 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (137) and (347) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.64 | (1064) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (560), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (346) follows:
% 60.31/21.64 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (137) and (347) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.64 | (1070) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | Instantiating (1070) with all_704_0_273, all_704_1_274, all_704_2_275, all_704_3_276 yields:
% 60.31/21.64 | (1071) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_704_0_273 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_704_1_274 & leq(n0, n5) = all_704_2_275 & leq(n0, tptp_minus_1) = all_704_3_276 & ( ~ (all_704_2_275 = 0) | ~ (all_704_3_276 = 0) | all_704_0_273 = all_704_1_274)
% 60.31/21.64 |
% 60.31/21.64 | Applying alpha-rule on (1071) yields:
% 60.31/21.64 | (1072) leq(n0, tptp_minus_1) = all_704_3_276
% 60.31/21.64 | (1073) a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_704_1_274
% 60.31/21.64 | (1074) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_704_0_273
% 60.31/21.64 | (1075) leq(n0, n5) = all_704_2_275
% 60.31/21.64 | (1076) ~ (all_704_2_275 = 0) | ~ (all_704_3_276 = 0) | all_704_0_273 = all_704_1_274
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (349) follows:
% 60.31/21.64 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (566), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (310) follows:
% 60.31/21.64 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (135) and (311) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.64 | (1082) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (313) follows:
% 60.31/21.64 | (135) leq(n2, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (572), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (310) follows:
% 60.31/21.64 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (135) and (311) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.64 | (1088) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (313) follows:
% 60.31/21.64 | (135) leq(n2, n5) = 0
% 60.31/21.64 |
% 60.31/21.64 +-Applying beta-rule and splitting (578), into two cases.
% 60.31/21.64 |-Branch one:
% 60.31/21.64 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (310) follows:
% 60.31/21.64 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.64 |
% 60.31/21.64 | Using (135) and (311) yields:
% 60.31/21.64 | (276) $false
% 60.31/21.64 |
% 60.31/21.64 |-The branch is then unsatisfiable
% 60.31/21.64 |-Branch two:
% 60.31/21.64 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.64 | (1094) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.64 |
% 60.31/21.64 | Instantiating (1094) with all_719_0_285, all_719_1_286, all_719_2_287, all_719_3_288 yields:
% 60.31/21.64 | (1095) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_286 & a_select3(pminus_ds1_filter, n2, n5) = all_719_0_285 & leq(n0, n5) = all_719_3_288 & leq(n0, n2) = all_719_2_287 & ( ~ (all_719_2_287 = 0) | ~ (all_719_3_288 = 0) | all_719_0_285 = all_719_1_286)
% 60.31/21.64 |
% 60.31/21.64 | Applying alpha-rule on (1095) yields:
% 60.31/21.64 | (1096) a_select3(pminus_ds1_filter, n2, n5) = all_719_0_285
% 60.31/21.64 | (1097) leq(n0, n5) = all_719_3_288
% 60.31/21.64 | (1098) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_286
% 60.31/21.64 | (1099) ~ (all_719_2_287 = 0) | ~ (all_719_3_288 = 0) | all_719_0_285 = all_719_1_286
% 60.31/21.64 | (1100) leq(n0, n2) = all_719_2_287
% 60.31/21.64 |
% 60.31/21.64 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (584), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (310) follows:
% 60.31/21.65 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (135) and (311) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.65 | (1106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | Instantiating (1106) with all_724_0_289, all_724_1_290, all_724_2_291, all_724_3_292 yields:
% 60.31/21.65 | (1107) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_289 & a_select3(pminus_ds1_filter, n2, n5) = all_724_1_290 & leq(n0, n5) = all_724_2_291 & leq(n0, n2) = all_724_3_292 & ( ~ (all_724_2_291 = 0) | ~ (all_724_3_292 = 0) | all_724_0_289 = all_724_1_290)
% 60.31/21.65 |
% 60.31/21.65 | Applying alpha-rule on (1107) yields:
% 60.31/21.65 | (1108) leq(n0, n2) = all_724_3_292
% 60.31/21.65 | (1109) leq(n0, n5) = all_724_2_291
% 60.31/21.65 | (1110) ~ (all_724_2_291 = 0) | ~ (all_724_3_292 = 0) | all_724_0_289 = all_724_1_290
% 60.31/21.65 | (1111) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_289
% 60.31/21.65 | (1112) a_select3(pminus_ds1_filter, n2, n5) = all_724_1_290
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (590), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (310) follows:
% 60.31/21.65 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (135) and (311) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.65 | (1118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (596), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (310) follows:
% 60.31/21.65 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (135) and (311) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.65 | (1124) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (602), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (310) follows:
% 60.31/21.65 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (135) and (311) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.65 | (1130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | Instantiating (1130) with all_739_0_301, all_739_1_302, all_739_2_303, all_739_3_304 yields:
% 60.31/21.65 | (1131) a_select3(q_ds1_filter, n5, n2) = all_739_1_302 & a_select3(q_ds1_filter, n2, n5) = all_739_0_301 & leq(n0, n5) = all_739_3_304 & leq(n0, n2) = all_739_2_303 & ( ~ (all_739_2_303 = 0) | ~ (all_739_3_304 = 0) | all_739_0_301 = all_739_1_302)
% 60.31/21.65 |
% 60.31/21.65 | Applying alpha-rule on (1131) yields:
% 60.31/21.65 | (1132) a_select3(q_ds1_filter, n2, n5) = all_739_0_301
% 60.31/21.65 | (1133) a_select3(q_ds1_filter, n5, n2) = all_739_1_302
% 60.31/21.65 | (1134) leq(n0, n5) = all_739_3_304
% 60.31/21.65 | (1135) leq(n0, n2) = all_739_2_303
% 60.31/21.65 | (1136) ~ (all_739_2_303 = 0) | ~ (all_739_3_304 = 0) | all_739_0_301 = all_739_1_302
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (608), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (298) follows:
% 60.31/21.65 | (299) ~ (leq(n4, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (133) and (299) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (301) leq(n4, all_0_9_9) = 0
% 60.31/21.65 | (1142) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | Instantiating (1142) with all_744_0_305, all_744_1_306, all_744_2_307, all_744_3_308 yields:
% 60.31/21.65 | (1143) a_select3(q_ds1_filter, n5, n4) = all_744_1_306 & a_select3(q_ds1_filter, n4, n5) = all_744_0_305 & leq(n0, n5) = all_744_3_308 & leq(n0, n4) = all_744_2_307 & ( ~ (all_744_2_307 = 0) | ~ (all_744_3_308 = 0) | all_744_0_305 = all_744_1_306)
% 60.31/21.65 |
% 60.31/21.65 | Applying alpha-rule on (1143) yields:
% 60.31/21.65 | (1144) leq(n0, n4) = all_744_2_307
% 60.31/21.65 | (1145) a_select3(q_ds1_filter, n4, n5) = all_744_0_305
% 60.31/21.65 | (1146) leq(n0, n5) = all_744_3_308
% 60.31/21.65 | (1147) ~ (all_744_2_307 = 0) | ~ (all_744_3_308 = 0) | all_744_0_305 = all_744_1_306
% 60.31/21.65 | (1148) a_select3(q_ds1_filter, n5, n4) = all_744_1_306
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (301) follows:
% 60.31/21.65 | (133) leq(n4, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (614), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (310) follows:
% 60.31/21.65 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (135) and (311) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.65 | (1154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (313) follows:
% 60.31/21.65 | (135) leq(n2, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (620), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (346) follows:
% 60.31/21.65 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (137) and (347) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.65 | (1160) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | Instantiating (1160) with all_754_0_313, all_754_1_314, all_754_2_315, all_754_3_316 yields:
% 60.31/21.65 | (1161) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_754_1_314 & a_select3(q_ds1_filter, tptp_minus_1, n5) = all_754_0_313 & leq(n0, n5) = all_754_3_316 & leq(n0, tptp_minus_1) = all_754_2_315 & ( ~ (all_754_2_315 = 0) | ~ (all_754_3_316 = 0) | all_754_0_313 = all_754_1_314)
% 60.31/21.65 |
% 60.31/21.65 | Applying alpha-rule on (1161) yields:
% 60.31/21.65 | (1162) leq(n0, n5) = all_754_3_316
% 60.31/21.65 | (1163) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_754_1_314
% 60.31/21.65 | (1164) ~ (all_754_2_315 = 0) | ~ (all_754_3_316 = 0) | all_754_0_313 = all_754_1_314
% 60.31/21.65 | (1165) leq(n0, tptp_minus_1) = all_754_2_315
% 60.31/21.65 | (1166) a_select3(q_ds1_filter, tptp_minus_1, n5) = all_754_0_313
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (349) follows:
% 60.31/21.65 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (626), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (346) follows:
% 60.31/21.65 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.65 |
% 60.31/21.65 | Using (137) and (347) yields:
% 60.31/21.65 | (276) $false
% 60.31/21.65 |
% 60.31/21.65 |-The branch is then unsatisfiable
% 60.31/21.65 |-Branch two:
% 60.31/21.65 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.65 | (1172) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.65 |
% 60.31/21.65 | Instantiating (1172) with all_759_0_317, all_759_1_318, all_759_2_319, all_759_3_320 yields:
% 60.31/21.65 | (1173) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_759_0_317 & a_select3(q_ds1_filter, tptp_minus_1, n5) = all_759_1_318 & leq(n0, n5) = all_759_2_319 & leq(n0, tptp_minus_1) = all_759_3_320 & ( ~ (all_759_2_319 = 0) | ~ (all_759_3_320 = 0) | all_759_0_317 = all_759_1_318)
% 60.31/21.65 |
% 60.31/21.65 | Applying alpha-rule on (1173) yields:
% 60.31/21.65 | (1174) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_759_0_317
% 60.31/21.65 | (1175) ~ (all_759_2_319 = 0) | ~ (all_759_3_320 = 0) | all_759_0_317 = all_759_1_318
% 60.31/21.65 | (1176) a_select3(q_ds1_filter, tptp_minus_1, n5) = all_759_1_318
% 60.31/21.65 | (1177) leq(n0, n5) = all_759_2_319
% 60.31/21.65 | (1178) leq(n0, tptp_minus_1) = all_759_3_320
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (349) follows:
% 60.31/21.65 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.65 |
% 60.31/21.65 +-Applying beta-rule and splitting (632), into two cases.
% 60.31/21.65 |-Branch one:
% 60.31/21.65 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 60.31/21.65 |
% 60.31/21.65 | From (143) and (298) follows:
% 60.31/21.65 | (299) ~ (leq(n4, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (133) and (299) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (301) leq(n4, all_0_9_9) = 0
% 60.31/21.66 | (1184) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | Instantiating (1184) with all_764_0_321, all_764_1_322, all_764_2_323, all_764_3_324 yields:
% 60.31/21.66 | (1185) a_select3(q_ds1_filter, n5, n4) = all_764_0_321 & a_select3(q_ds1_filter, n4, n5) = all_764_1_322 & leq(n0, n5) = all_764_2_323 & leq(n0, n4) = all_764_3_324 & ( ~ (all_764_2_323 = 0) | ~ (all_764_3_324 = 0) | all_764_0_321 = all_764_1_322)
% 60.31/21.66 |
% 60.31/21.66 | Applying alpha-rule on (1185) yields:
% 60.31/21.66 | (1186) a_select3(q_ds1_filter, n4, n5) = all_764_1_322
% 60.31/21.66 | (1187) leq(n0, n4) = all_764_3_324
% 60.31/21.66 | (1188) leq(n0, n5) = all_764_2_323
% 60.31/21.66 | (1189) a_select3(q_ds1_filter, n5, n4) = all_764_0_321
% 60.31/21.66 | (1190) ~ (all_764_2_323 = 0) | ~ (all_764_3_324 = 0) | all_764_0_321 = all_764_1_322
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (301) follows:
% 60.31/21.66 | (133) leq(n4, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (638), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (298) follows:
% 60.31/21.66 | (299) ~ (leq(n4, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (133) and (299) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (301) leq(n4, all_0_9_9) = 0
% 60.31/21.66 | (1196) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | Instantiating (1196) with all_769_0_325, all_769_1_326, all_769_2_327, all_769_3_328 yields:
% 60.31/21.66 | (1197) a_select3(pminus_ds1_filter, n5, n4) = all_769_1_326 & a_select3(pminus_ds1_filter, n4, n5) = all_769_0_325 & leq(n0, n5) = all_769_3_328 & leq(n0, n4) = all_769_2_327 & ( ~ (all_769_2_327 = 0) | ~ (all_769_3_328 = 0) | all_769_0_325 = all_769_1_326)
% 60.31/21.66 |
% 60.31/21.66 | Applying alpha-rule on (1197) yields:
% 60.31/21.66 | (1198) a_select3(pminus_ds1_filter, n4, n5) = all_769_0_325
% 60.31/21.66 | (1199) a_select3(pminus_ds1_filter, n5, n4) = all_769_1_326
% 60.31/21.66 | (1200) ~ (all_769_2_327 = 0) | ~ (all_769_3_328 = 0) | all_769_0_325 = all_769_1_326
% 60.31/21.66 | (1201) leq(n0, n4) = all_769_2_327
% 60.31/21.66 | (1202) leq(n0, n5) = all_769_3_328
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (301) follows:
% 60.31/21.66 | (133) leq(n4, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (644), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (310) follows:
% 60.31/21.66 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (135) and (311) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.66 | (1208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | Instantiating (1208) with all_774_0_329, all_774_1_330, all_774_2_331, all_774_3_332 yields:
% 60.31/21.66 | (1209) a_select3(q_ds1_filter, n5, n2) = all_774_0_329 & a_select3(q_ds1_filter, n2, n5) = all_774_1_330 & leq(n0, n5) = all_774_2_331 & leq(n0, n2) = all_774_3_332 & ( ~ (all_774_2_331 = 0) | ~ (all_774_3_332 = 0) | all_774_0_329 = all_774_1_330)
% 60.31/21.66 |
% 60.31/21.66 | Applying alpha-rule on (1209) yields:
% 60.31/21.66 | (1210) a_select3(q_ds1_filter, n5, n2) = all_774_0_329
% 60.31/21.66 | (1211) leq(n0, n5) = all_774_2_331
% 60.31/21.66 | (1212) leq(n0, n2) = all_774_3_332
% 60.31/21.66 | (1213) ~ (all_774_2_331 = 0) | ~ (all_774_3_332 = 0) | all_774_0_329 = all_774_1_330
% 60.31/21.66 | (1214) a_select3(q_ds1_filter, n2, n5) = all_774_1_330
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (313) follows:
% 60.31/21.66 | (135) leq(n2, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (650), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (310) follows:
% 60.31/21.66 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (135) and (311) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.66 | (1220) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (313) follows:
% 60.31/21.66 | (135) leq(n2, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (656), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (316) follows:
% 60.31/21.66 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (134) and (317) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.66 | (1226) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (319) follows:
% 60.31/21.66 | (134) leq(n3, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (662), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (310) follows:
% 60.31/21.66 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (135) and (311) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.66 | (1232) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (313) follows:
% 60.31/21.66 | (135) leq(n2, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (668), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (316) follows:
% 60.31/21.66 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (134) and (317) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.66 | (1238) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (319) follows:
% 60.31/21.66 | (134) leq(n3, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (674), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (310) follows:
% 60.31/21.66 | (311) ~ (leq(n2, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (135) and (311) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (313) leq(n2, all_0_9_9) = 0
% 60.31/21.66 | (1244) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (313) follows:
% 60.31/21.66 | (135) leq(n2, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (680), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (346) follows:
% 60.31/21.66 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (137) and (347) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.66 | (1250) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (349) follows:
% 60.31/21.66 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (686), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (346) follows:
% 60.31/21.66 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (137) and (347) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.66 | (1256) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (349) follows:
% 60.31/21.66 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (692), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (346) follows:
% 60.31/21.66 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (137) and (347) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 60.31/21.66 | (1262) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (349) follows:
% 60.31/21.66 | (137) leq(tptp_minus_1, n5) = 0
% 60.31/21.66 |
% 60.31/21.66 +-Applying beta-rule and splitting (698), into two cases.
% 60.31/21.66 |-Branch one:
% 60.31/21.66 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.66 |
% 60.31/21.66 | From (143) and (358) follows:
% 60.31/21.66 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.66 |
% 60.31/21.66 | Using (138) and (359) yields:
% 60.31/21.66 | (276) $false
% 60.31/21.66 |
% 60.31/21.66 |-The branch is then unsatisfiable
% 60.31/21.66 |-Branch two:
% 60.31/21.66 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.66 | (1268) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.66 |
% 60.31/21.66 | Instantiating (1268) with all_819_0_365, all_819_1_366, all_819_2_367, all_819_3_368 yields:
% 60.31/21.66 | (1269) a_select3(pminus_ds1_filter, n5, n0) = all_819_1_366 & a_select3(pminus_ds1_filter, n0, n5) = all_819_0_365 & leq(n0, n5) = all_819_3_368 & leq(n0, n0) = all_819_2_367 & ( ~ (all_819_2_367 = 0) | ~ (all_819_3_368 = 0) | all_819_0_365 = all_819_1_366)
% 60.31/21.66 |
% 60.31/21.66 | Applying alpha-rule on (1269) yields:
% 60.31/21.67 | (1270) leq(n0, n5) = all_819_3_368
% 60.31/21.67 | (1271) leq(n0, n0) = all_819_2_367
% 60.31/21.67 | (1272) ~ (all_819_2_367 = 0) | ~ (all_819_3_368 = 0) | all_819_0_365 = all_819_1_366
% 60.31/21.67 | (1273) a_select3(pminus_ds1_filter, n0, n5) = all_819_0_365
% 60.31/21.67 | (1274) a_select3(pminus_ds1_filter, n5, n0) = all_819_1_366
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (361) follows:
% 60.31/21.67 | (138) leq(n0, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (704), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1280) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1280) with all_824_0_369, all_824_1_370, all_824_2_371, all_824_3_372 yields:
% 60.31/21.67 | (1281) a_select3(pminus_ds1_filter, n5, n3) = all_824_1_370 & a_select3(pminus_ds1_filter, n3, n5) = all_824_0_369 & leq(n0, n5) = all_824_3_372 & leq(n0, n3) = all_824_2_371 & ( ~ (all_824_2_371 = 0) | ~ (all_824_3_372 = 0) | all_824_0_369 = all_824_1_370)
% 60.31/21.67 |
% 60.31/21.67 | Applying alpha-rule on (1281) yields:
% 60.31/21.67 | (1282) leq(n0, n5) = all_824_3_372
% 60.31/21.67 | (1283) a_select3(pminus_ds1_filter, n5, n3) = all_824_1_370
% 60.31/21.67 | (1284) ~ (all_824_2_371 = 0) | ~ (all_824_3_372 = 0) | all_824_0_369 = all_824_1_370
% 60.31/21.67 | (1285) leq(n0, n3) = all_824_2_371
% 60.31/21.67 | (1286) a_select3(pminus_ds1_filter, n3, n5) = all_824_0_369
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (710), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1292) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1292) with all_829_0_373, all_829_1_374, all_829_2_375, all_829_3_376 yields:
% 60.31/21.67 | (1293) a_select3(pminus_ds1_filter, n5, n3) = all_829_0_373 & a_select3(pminus_ds1_filter, n3, n5) = all_829_1_374 & leq(n0, n5) = all_829_2_375 & leq(n0, n3) = all_829_3_376 & ( ~ (all_829_2_375 = 0) | ~ (all_829_3_376 = 0) | all_829_0_373 = all_829_1_374)
% 60.31/21.67 |
% 60.31/21.67 | Applying alpha-rule on (1293) yields:
% 60.31/21.67 | (1294) a_select3(pminus_ds1_filter, n5, n3) = all_829_0_373
% 60.31/21.67 | (1295) a_select3(pminus_ds1_filter, n3, n5) = all_829_1_374
% 60.31/21.67 | (1296) ~ (all_829_2_375 = 0) | ~ (all_829_3_376 = 0) | all_829_0_373 = all_829_1_374
% 60.31/21.67 | (1297) leq(n0, n5) = all_829_2_375
% 60.31/21.67 | (1298) leq(n0, n3) = all_829_3_376
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (716), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1304) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1304) with all_834_0_377, all_834_1_378, all_834_2_379, all_834_3_380 yields:
% 60.31/21.67 | (1305) a_select3(q_ds1_filter, n5, n3) = all_834_1_378 & a_select3(q_ds1_filter, n3, n5) = all_834_0_377 & leq(n0, n5) = all_834_3_380 & leq(n0, n3) = all_834_2_379 & ( ~ (all_834_2_379 = 0) | ~ (all_834_3_380 = 0) | all_834_0_377 = all_834_1_378)
% 60.31/21.67 |
% 60.31/21.67 | Applying alpha-rule on (1305) yields:
% 60.31/21.67 | (1306) ~ (all_834_2_379 = 0) | ~ (all_834_3_380 = 0) | all_834_0_377 = all_834_1_378
% 60.31/21.67 | (1307) a_select3(q_ds1_filter, n5, n3) = all_834_1_378
% 60.31/21.67 | (1308) leq(n0, n3) = all_834_2_379
% 60.31/21.67 | (1309) leq(n0, n5) = all_834_3_380
% 60.31/21.67 | (1310) a_select3(q_ds1_filter, n3, n5) = all_834_0_377
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (722), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1316) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1316) with all_839_0_381, all_839_1_382, all_839_2_383, all_839_3_384 yields:
% 60.31/21.67 | (1317) a_select3(q_ds1_filter, n5, n3) = all_839_0_381 & a_select3(q_ds1_filter, n3, n5) = all_839_1_382 & leq(n0, n5) = all_839_2_383 & leq(n0, n3) = all_839_3_384 & ( ~ (all_839_2_383 = 0) | ~ (all_839_3_384 = 0) | all_839_0_381 = all_839_1_382)
% 60.31/21.67 |
% 60.31/21.67 | Applying alpha-rule on (1317) yields:
% 60.31/21.67 | (1318) ~ (all_839_2_383 = 0) | ~ (all_839_3_384 = 0) | all_839_0_381 = all_839_1_382
% 60.31/21.67 | (1319) leq(n0, n3) = all_839_3_384
% 60.31/21.67 | (1320) a_select3(q_ds1_filter, n3, n5) = all_839_1_382
% 60.31/21.67 | (1321) leq(n0, n5) = all_839_2_383
% 60.31/21.67 | (1322) a_select3(q_ds1_filter, n5, n3) = all_839_0_381
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (728), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1328) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (734), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (316) follows:
% 60.31/21.67 | (317) ~ (leq(n3, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (134) and (317) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (319) leq(n3, all_0_9_9) = 0
% 60.31/21.67 | (1334) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (319) follows:
% 60.31/21.67 | (134) leq(n3, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (740), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (358) follows:
% 60.31/21.67 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (138) and (359) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.67 | (1340) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1340) with all_854_0_393, all_854_1_394, all_854_2_395, all_854_3_396 yields:
% 60.31/21.67 | (1341) a_select3(pminus_ds1_filter, n5, n0) = all_854_0_393 & a_select3(pminus_ds1_filter, n0, n5) = all_854_1_394 & leq(n0, n5) = all_854_2_395 & leq(n0, n0) = all_854_3_396 & ( ~ (all_854_2_395 = 0) | ~ (all_854_3_396 = 0) | all_854_0_393 = all_854_1_394)
% 60.31/21.67 |
% 60.31/21.67 | Applying alpha-rule on (1341) yields:
% 60.31/21.67 | (1342) leq(n0, n0) = all_854_3_396
% 60.31/21.67 | (1343) ~ (all_854_2_395 = 0) | ~ (all_854_3_396 = 0) | all_854_0_393 = all_854_1_394
% 60.31/21.67 | (1344) leq(n0, n5) = all_854_2_395
% 60.31/21.67 | (1345) a_select3(pminus_ds1_filter, n5, n0) = all_854_0_393
% 60.31/21.67 | (1346) a_select3(pminus_ds1_filter, n0, n5) = all_854_1_394
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (361) follows:
% 60.31/21.67 | (138) leq(n0, n5) = 0
% 60.31/21.67 |
% 60.31/21.67 +-Applying beta-rule and splitting (746), into two cases.
% 60.31/21.67 |-Branch one:
% 60.31/21.67 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.67 |
% 60.31/21.67 | From (143) and (358) follows:
% 60.31/21.67 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.67 |
% 60.31/21.67 | Using (138) and (359) yields:
% 60.31/21.67 | (276) $false
% 60.31/21.67 |
% 60.31/21.67 |-The branch is then unsatisfiable
% 60.31/21.67 |-Branch two:
% 60.31/21.67 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.67 | (1352) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.67 |
% 60.31/21.67 | Instantiating (1352) with all_859_0_397, all_859_1_398, all_859_2_399, all_859_3_400 yields:
% 60.31/21.67 | (1353) a_select3(q_ds1_filter, n5, n0) = all_859_1_398 & a_select3(q_ds1_filter, n0, n5) = all_859_0_397 & leq(n0, n5) = all_859_3_400 & leq(n0, n0) = all_859_2_399 & ( ~ (all_859_2_399 = 0) | ~ (all_859_3_400 = 0) | all_859_0_397 = all_859_1_398)
% 60.31/21.67 |
% 60.31/21.68 | Applying alpha-rule on (1353) yields:
% 60.31/21.68 | (1354) leq(n0, n5) = all_859_3_400
% 60.31/21.68 | (1355) leq(n0, n0) = all_859_2_399
% 60.31/21.68 | (1356) ~ (all_859_2_399 = 0) | ~ (all_859_3_400 = 0) | all_859_0_397 = all_859_1_398
% 60.31/21.68 | (1357) a_select3(q_ds1_filter, n5, n0) = all_859_1_398
% 60.31/21.68 | (1358) a_select3(q_ds1_filter, n0, n5) = all_859_0_397
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (752), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (298) follows:
% 60.31/21.68 | (299) ~ (leq(n4, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (133) and (299) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (301) leq(n4, all_0_9_9) = 0
% 60.31/21.68 | (1364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | Instantiating (1364) with all_864_0_401, all_864_1_402, all_864_2_403, all_864_3_404 yields:
% 60.31/21.68 | (1365) a_select3(pminus_ds1_filter, n5, n4) = all_864_0_401 & a_select3(pminus_ds1_filter, n4, n5) = all_864_1_402 & leq(n0, n5) = all_864_2_403 & leq(n0, n4) = all_864_3_404 & ( ~ (all_864_2_403 = 0) | ~ (all_864_3_404 = 0) | all_864_0_401 = all_864_1_402)
% 60.31/21.68 |
% 60.31/21.68 | Applying alpha-rule on (1365) yields:
% 60.31/21.68 | (1366) leq(n0, n4) = all_864_3_404
% 60.31/21.68 | (1367) a_select3(pminus_ds1_filter, n4, n5) = all_864_1_402
% 60.31/21.68 | (1368) leq(n0, n5) = all_864_2_403
% 60.31/21.68 | (1369) ~ (all_864_2_403 = 0) | ~ (all_864_3_404 = 0) | all_864_0_401 = all_864_1_402
% 60.31/21.68 | (1370) a_select3(pminus_ds1_filter, n5, n4) = all_864_0_401
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (301) follows:
% 60.31/21.68 | (133) leq(n4, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (758), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (358) follows:
% 60.31/21.68 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (138) and (359) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.68 | (1376) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | Instantiating (1376) with all_869_0_405, all_869_1_406, all_869_2_407, all_869_3_408 yields:
% 60.31/21.68 | (1377) a_select3(q_ds1_filter, n5, n0) = all_869_0_405 & a_select3(q_ds1_filter, n0, n5) = all_869_1_406 & leq(n0, n5) = all_869_2_407 & leq(n0, n0) = all_869_3_408 & ( ~ (all_869_2_407 = 0) | ~ (all_869_3_408 = 0) | all_869_0_405 = all_869_1_406)
% 60.31/21.68 |
% 60.31/21.68 | Applying alpha-rule on (1377) yields:
% 60.31/21.68 | (1378) ~ (all_869_2_407 = 0) | ~ (all_869_3_408 = 0) | all_869_0_405 = all_869_1_406
% 60.31/21.68 | (1379) a_select3(q_ds1_filter, n5, n0) = all_869_0_405
% 60.31/21.68 | (1380) leq(n0, n0) = all_869_3_408
% 60.31/21.68 | (1381) leq(n0, n5) = all_869_2_407
% 60.31/21.68 | (1382) a_select3(q_ds1_filter, n0, n5) = all_869_1_406
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (764), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (358) follows:
% 60.31/21.68 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (138) and (359) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.68 | (1388) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (770), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (358) follows:
% 60.31/21.68 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (138) and (359) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.68 | (1394) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (776), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (358) follows:
% 60.31/21.68 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (138) and (359) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.68 | (1400) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (782), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (358) follows:
% 60.31/21.68 | (359) ~ (leq(n0, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (138) and (359) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (361) leq(n0, all_0_9_9) = 0
% 60.31/21.68 | (1406) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (361) follows:
% 60.31/21.68 | (138) leq(n0, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (788), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (334) follows:
% 60.31/21.68 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (136) and (335) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.68 | (1412) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | Instantiating (1412) with all_894_0_425, all_894_1_426, all_894_2_427, all_894_3_428 yields:
% 60.31/21.68 | (1413) a_select3(pminus_ds1_filter, n5, n1) = all_894_0_425 & a_select3(pminus_ds1_filter, n1, n5) = all_894_1_426 & leq(n0, n5) = all_894_2_427 & leq(n0, n1) = all_894_3_428 & ( ~ (all_894_2_427 = 0) | ~ (all_894_3_428 = 0) | all_894_0_425 = all_894_1_426)
% 60.31/21.68 |
% 60.31/21.68 | Applying alpha-rule on (1413) yields:
% 60.31/21.68 | (1414) leq(n0, n5) = all_894_2_427
% 60.31/21.68 | (1415) a_select3(pminus_ds1_filter, n5, n1) = all_894_0_425
% 60.31/21.68 | (1416) ~ (all_894_2_427 = 0) | ~ (all_894_3_428 = 0) | all_894_0_425 = all_894_1_426
% 60.31/21.68 | (1417) a_select3(pminus_ds1_filter, n1, n5) = all_894_1_426
% 60.31/21.68 | (1418) leq(n0, n1) = all_894_3_428
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (337) follows:
% 60.31/21.68 | (136) leq(n1, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (794), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (334) follows:
% 60.31/21.68 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (136) and (335) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.68 | (1424) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.68 |
% 60.31/21.68 | Instantiating (1424) with all_899_0_429, all_899_1_430, all_899_2_431, all_899_3_432 yields:
% 60.31/21.68 | (1425) a_select3(q_ds1_filter, n5, n1) = all_899_1_430 & a_select3(q_ds1_filter, n1, n5) = all_899_0_429 & leq(n0, n5) = all_899_3_432 & leq(n0, n1) = all_899_2_431 & ( ~ (all_899_2_431 = 0) | ~ (all_899_3_432 = 0) | all_899_0_429 = all_899_1_430)
% 60.31/21.68 |
% 60.31/21.68 | Applying alpha-rule on (1425) yields:
% 60.31/21.68 | (1426) leq(n0, n1) = all_899_2_431
% 60.31/21.68 | (1427) leq(n0, n5) = all_899_3_432
% 60.31/21.68 | (1428) ~ (all_899_2_431 = 0) | ~ (all_899_3_432 = 0) | all_899_0_429 = all_899_1_430
% 60.31/21.68 | (1429) a_select3(q_ds1_filter, n1, n5) = all_899_0_429
% 60.31/21.68 | (1430) a_select3(q_ds1_filter, n5, n1) = all_899_1_430
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (337) follows:
% 60.31/21.68 | (136) leq(n1, n5) = 0
% 60.31/21.68 |
% 60.31/21.68 +-Applying beta-rule and splitting (800), into two cases.
% 60.31/21.68 |-Branch one:
% 60.31/21.68 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.68 |
% 60.31/21.68 | From (143) and (334) follows:
% 60.31/21.68 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.68 |
% 60.31/21.68 | Using (136) and (335) yields:
% 60.31/21.68 | (276) $false
% 60.31/21.68 |
% 60.31/21.68 |-The branch is then unsatisfiable
% 60.31/21.68 |-Branch two:
% 60.31/21.68 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.68 | (1436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (806), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1442) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (812), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1448) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (818), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1454) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (824), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (830), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1466) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (836), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1472) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (842), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1478) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (848), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1484) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v2 & a_select3(pminus_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | Instantiating (1484) with all_944_0_465, all_944_1_466, all_944_2_467, all_944_3_468 yields:
% 60.31/21.69 | (1485) a_select3(pminus_ds1_filter, n5, n1) = all_944_1_466 & a_select3(pminus_ds1_filter, n1, n5) = all_944_0_465 & leq(n0, n5) = all_944_3_468 & leq(n0, n1) = all_944_2_467 & ( ~ (all_944_2_467 = 0) | ~ (all_944_3_468 = 0) | all_944_0_465 = all_944_1_466)
% 60.31/21.69 |
% 60.31/21.69 | Applying alpha-rule on (1485) yields:
% 60.31/21.69 | (1486) a_select3(pminus_ds1_filter, n5, n1) = all_944_1_466
% 60.31/21.69 | (1487) ~ (all_944_2_467 = 0) | ~ (all_944_3_468 = 0) | all_944_0_465 = all_944_1_466
% 60.31/21.69 | (1488) leq(n0, n5) = all_944_3_468
% 60.31/21.69 | (1489) a_select3(pminus_ds1_filter, n1, n5) = all_944_0_465
% 60.31/21.69 | (1490) leq(n0, n1) = all_944_2_467
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (854), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1496) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v3 & a_select3(pminus_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (860), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1502) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v3 & a_select3(q_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | Instantiating (1502) with all_954_0_473, all_954_1_474, all_954_2_475, all_954_3_476 yields:
% 60.31/21.69 | (1503) a_select3(q_ds1_filter, n5, n1) = all_954_0_473 & a_select3(q_ds1_filter, n1, n5) = all_954_1_474 & leq(n0, n5) = all_954_2_475 & leq(n0, n1) = all_954_3_476 & ( ~ (all_954_2_475 = 0) | ~ (all_954_3_476 = 0) | all_954_0_473 = all_954_1_474)
% 60.31/21.69 |
% 60.31/21.69 | Applying alpha-rule on (1503) yields:
% 60.31/21.69 | (1504) leq(n0, n1) = all_954_3_476
% 60.31/21.69 | (1505) a_select3(q_ds1_filter, n5, n1) = all_954_0_473
% 60.31/21.69 | (1506) leq(n0, n5) = all_954_2_475
% 60.31/21.69 | (1507) ~ (all_954_2_475 = 0) | ~ (all_954_3_476 = 0) | all_954_0_473 = all_954_1_474
% 60.31/21.69 | (1508) a_select3(q_ds1_filter, n1, n5) = all_954_1_474
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (866), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1514) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v2 & a_select3(pminus_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 +-Applying beta-rule and splitting (872), into two cases.
% 60.31/21.69 |-Branch one:
% 60.31/21.69 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (334) follows:
% 60.31/21.69 | (335) ~ (leq(n1, n5) = 0)
% 60.31/21.69 |
% 60.31/21.69 | Using (136) and (335) yields:
% 60.31/21.69 | (276) $false
% 60.31/21.69 |
% 60.31/21.69 |-The branch is then unsatisfiable
% 60.31/21.69 |-Branch two:
% 60.31/21.69 | (337) leq(n1, all_0_9_9) = 0
% 60.31/21.69 | (1520) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v2 & a_select3(q_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.69 |
% 60.31/21.69 | From (143) and (337) follows:
% 60.31/21.69 | (136) leq(n1, n5) = 0
% 60.31/21.69 |
% 60.31/21.69 | Instantiating formula (30) with n0, n5, all_894_2_427, all_954_2_475 and discharging atoms leq(n0, n5) = all_954_2_475, leq(n0, n5) = all_894_2_427, yields:
% 60.31/21.70 | (1522) all_954_2_475 = all_894_2_427
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_864_2_403, all_869_2_407 and discharging atoms leq(n0, n5) = all_869_2_407, leq(n0, n5) = all_864_2_403, yields:
% 60.31/21.70 | (1523) all_869_2_407 = all_864_2_403
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_859_3_400, all_944_3_468 and discharging atoms leq(n0, n5) = all_944_3_468, leq(n0, n5) = all_859_3_400, yields:
% 60.31/21.70 | (1524) all_944_3_468 = all_859_3_400
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_854_2_395, all_869_2_407 and discharging atoms leq(n0, n5) = all_869_2_407, leq(n0, n5) = all_854_2_395, yields:
% 60.31/21.70 | (1525) all_869_2_407 = all_854_2_395
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_839_2_383, all_954_2_475 and discharging atoms leq(n0, n5) = all_954_2_475, leq(n0, n5) = all_839_2_383, yields:
% 60.31/21.70 | (1526) all_954_2_475 = all_839_2_383
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_834_3_380, all_944_3_468 and discharging atoms leq(n0, n5) = all_944_3_468, leq(n0, n5) = all_834_3_380, yields:
% 60.31/21.70 | (1527) all_944_3_468 = all_834_3_380
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_834_3_380, all_894_2_427 and discharging atoms leq(n0, n5) = all_894_2_427, leq(n0, n5) = all_834_3_380, yields:
% 60.31/21.70 | (1528) all_894_2_427 = all_834_3_380
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_829_2_375, all_944_3_468 and discharging atoms leq(n0, n5) = all_944_3_468, leq(n0, n5) = all_829_2_375, yields:
% 60.31/21.70 | (1529) all_944_3_468 = all_829_2_375
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_824_3_372, 0 and discharging atoms leq(n0, n5) = all_824_3_372, leq(n0, n5) = 0, yields:
% 60.31/21.70 | (1530) all_824_3_372 = 0
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_824_3_372, all_899_3_432 and discharging atoms leq(n0, n5) = all_899_3_432, leq(n0, n5) = all_824_3_372, yields:
% 60.31/21.70 | (1531) all_899_3_432 = all_824_3_372
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_774_2_331, all_819_3_368 and discharging atoms leq(n0, n5) = all_819_3_368, leq(n0, n5) = all_774_2_331, yields:
% 60.31/21.70 | (1532) all_819_3_368 = all_774_2_331
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_769_3_328, all_864_2_403 and discharging atoms leq(n0, n5) = all_864_2_403, leq(n0, n5) = all_769_3_328, yields:
% 60.31/21.70 | (1533) all_864_2_403 = all_769_3_328
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_769_3_328, all_774_2_331 and discharging atoms leq(n0, n5) = all_774_2_331, leq(n0, n5) = all_769_3_328, yields:
% 60.31/21.70 | (1534) all_774_2_331 = all_769_3_328
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_764_2_323, all_864_2_403 and discharging atoms leq(n0, n5) = all_864_2_403, leq(n0, n5) = all_764_2_323, yields:
% 60.31/21.70 | (1535) all_864_2_403 = all_764_2_323
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_759_2_319, all_864_2_403 and discharging atoms leq(n0, n5) = all_864_2_403, leq(n0, n5) = all_759_2_319, yields:
% 60.31/21.70 | (1536) all_864_2_403 = all_759_2_319
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_754_3_316, all_759_2_319 and discharging atoms leq(n0, n5) = all_759_2_319, leq(n0, n5) = all_754_3_316, yields:
% 60.31/21.70 | (1537) all_759_2_319 = all_754_3_316
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_744_3_308, all_754_3_316 and discharging atoms leq(n0, n5) = all_754_3_316, leq(n0, n5) = all_744_3_308, yields:
% 60.31/21.70 | (1538) all_754_3_316 = all_744_3_308
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_739_3_304, all_744_3_308 and discharging atoms leq(n0, n5) = all_744_3_308, leq(n0, n5) = all_739_3_304, yields:
% 60.31/21.70 | (1539) all_744_3_308 = all_739_3_304
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_724_2_291, all_899_3_432 and discharging atoms leq(n0, n5) = all_899_3_432, leq(n0, n5) = all_724_2_291, yields:
% 60.31/21.70 | (1540) all_899_3_432 = all_724_2_291
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_724_2_291, all_739_3_304 and discharging atoms leq(n0, n5) = all_739_3_304, leq(n0, n5) = all_724_2_291, yields:
% 60.31/21.70 | (1541) all_739_3_304 = all_724_2_291
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_719_3_288, all_944_3_468 and discharging atoms leq(n0, n5) = all_944_3_468, leq(n0, n5) = all_719_3_288, yields:
% 60.31/21.70 | (1542) all_944_3_468 = all_719_3_288
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_704_2_275, all_819_3_368 and discharging atoms leq(n0, n5) = all_819_3_368, leq(n0, n5) = all_704_2_275, yields:
% 60.31/21.70 | (1543) all_819_3_368 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_624_3_212, all_899_3_432 and discharging atoms leq(n0, n5) = all_899_3_432, leq(n0, n5) = all_624_3_212, yields:
% 60.31/21.70 | (1544) all_899_3_432 = all_624_3_212
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_57_2_28, all_719_3_288 and discharging atoms leq(n0, n5) = all_719_3_288, leq(n0, n5) = all_57_2_28, yields:
% 60.31/21.70 | (1545) all_719_3_288 = all_57_2_28
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_57_3_29, all_899_3_432 and discharging atoms leq(n0, n5) = all_899_3_432, leq(n0, n5) = all_57_3_29, yields:
% 60.31/21.70 | (1546) all_899_3_432 = all_57_3_29
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_57_3_29, all_57_2_28 and discharging atoms leq(n0, n5) = all_57_2_28, leq(n0, n5) = all_57_3_29, yields:
% 60.31/21.70 | (1547) all_57_2_28 = all_57_3_29
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_52_2_24, all_724_2_291 and discharging atoms leq(n0, n5) = all_724_2_291, leq(n0, n5) = all_52_2_24, yields:
% 60.31/21.70 | (1548) all_724_2_291 = all_52_2_24
% 60.31/21.70 |
% 60.31/21.70 | Instantiating formula (30) with n0, n5, all_52_3_25, all_894_2_427 and discharging atoms leq(n0, n5) = all_894_2_427, leq(n0, n5) = all_52_3_25, yields:
% 60.31/21.70 | (1549) all_894_2_427 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1522,1526) yields a new equation:
% 60.31/21.70 | (1550) all_894_2_427 = all_839_2_383
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1550 yields:
% 60.31/21.70 | (1551) all_894_2_427 = all_839_2_383
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1527,1524) yields a new equation:
% 60.31/21.70 | (1552) all_859_3_400 = all_834_3_380
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1542,1524) yields a new equation:
% 60.31/21.70 | (1553) all_859_3_400 = all_719_3_288
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1529,1524) yields a new equation:
% 60.31/21.70 | (1554) all_859_3_400 = all_829_2_375
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1540,1544) yields a new equation:
% 60.31/21.70 | (1555) all_724_2_291 = all_624_3_212
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1555 yields:
% 60.31/21.70 | (1556) all_724_2_291 = all_624_3_212
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1546,1544) yields a new equation:
% 60.31/21.70 | (1557) all_624_3_212 = all_57_3_29
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1531,1544) yields a new equation:
% 60.31/21.70 | (1558) all_824_3_372 = all_624_3_212
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1558 yields:
% 60.31/21.70 | (1559) all_824_3_372 = all_624_3_212
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1528,1551) yields a new equation:
% 60.31/21.70 | (1560) all_839_2_383 = all_834_3_380
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1549,1551) yields a new equation:
% 60.31/21.70 | (1561) all_839_2_383 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1523,1525) yields a new equation:
% 60.31/21.70 | (1562) all_864_2_403 = all_854_2_395
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1562 yields:
% 60.31/21.70 | (1563) all_864_2_403 = all_854_2_395
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1536,1563) yields a new equation:
% 60.31/21.70 | (1564) all_854_2_395 = all_759_2_319
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1533,1563) yields a new equation:
% 60.31/21.70 | (1565) all_854_2_395 = all_769_3_328
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1535,1563) yields a new equation:
% 60.31/21.70 | (1566) all_854_2_395 = all_764_2_323
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1553,1554) yields a new equation:
% 60.31/21.70 | (1567) all_829_2_375 = all_719_3_288
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1552,1554) yields a new equation:
% 60.31/21.70 | (1568) all_834_3_380 = all_829_2_375
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1568 yields:
% 60.31/21.70 | (1569) all_834_3_380 = all_829_2_375
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1565,1566) yields a new equation:
% 60.31/21.70 | (1570) all_769_3_328 = all_764_2_323
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1570 yields:
% 60.31/21.70 | (1571) all_769_3_328 = all_764_2_323
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1564,1566) yields a new equation:
% 60.31/21.70 | (1572) all_764_2_323 = all_759_2_319
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1560,1561) yields a new equation:
% 60.31/21.70 | (1573) all_834_3_380 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1573 yields:
% 60.31/21.70 | (1574) all_834_3_380 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1569,1574) yields a new equation:
% 60.31/21.70 | (1575) all_829_2_375 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1575 yields:
% 60.31/21.70 | (1576) all_829_2_375 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1567,1576) yields a new equation:
% 60.31/21.70 | (1577) all_719_3_288 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1577 yields:
% 60.31/21.70 | (1578) all_719_3_288 = all_52_3_25
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1559,1530) yields a new equation:
% 60.31/21.70 | (1579) all_624_3_212 = 0
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1579 yields:
% 60.31/21.70 | (1580) all_624_3_212 = 0
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1532,1543) yields a new equation:
% 60.31/21.70 | (1581) all_774_2_331 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1581 yields:
% 60.31/21.70 | (1582) all_774_2_331 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1534,1582) yields a new equation:
% 60.31/21.70 | (1583) all_769_3_328 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1583 yields:
% 60.31/21.70 | (1584) all_769_3_328 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1571,1584) yields a new equation:
% 60.31/21.70 | (1585) all_764_2_323 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1585 yields:
% 60.31/21.70 | (1586) all_764_2_323 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1572,1586) yields a new equation:
% 60.31/21.70 | (1587) all_759_2_319 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1587 yields:
% 60.31/21.70 | (1588) all_759_2_319 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1537,1588) yields a new equation:
% 60.31/21.70 | (1589) all_754_3_316 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1589 yields:
% 60.31/21.70 | (1590) all_754_3_316 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1538,1590) yields a new equation:
% 60.31/21.70 | (1591) all_744_3_308 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Simplifying 1591 yields:
% 60.31/21.70 | (1592) all_744_3_308 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.70 | Combining equations (1539,1592) yields a new equation:
% 60.31/21.70 | (1593) all_739_3_304 = all_704_2_275
% 60.31/21.70 |
% 60.31/21.71 | Simplifying 1593 yields:
% 60.31/21.71 | (1594) all_739_3_304 = all_704_2_275
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1541,1594) yields a new equation:
% 60.31/21.71 | (1595) all_724_2_291 = all_704_2_275
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1595 yields:
% 60.31/21.71 | (1596) all_724_2_291 = all_704_2_275
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1556,1596) yields a new equation:
% 60.31/21.71 | (1597) all_704_2_275 = all_624_3_212
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1548,1596) yields a new equation:
% 60.31/21.71 | (1598) all_704_2_275 = all_52_2_24
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1545,1578) yields a new equation:
% 60.31/21.71 | (1599) all_57_2_28 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1599 yields:
% 60.31/21.71 | (1600) all_57_2_28 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1597,1598) yields a new equation:
% 60.31/21.71 | (1601) all_624_3_212 = all_52_2_24
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1601 yields:
% 60.31/21.71 | (1602) all_624_3_212 = all_52_2_24
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1580,1602) yields a new equation:
% 60.31/21.71 | (1603) all_52_2_24 = 0
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1557,1602) yields a new equation:
% 60.31/21.71 | (1604) all_57_3_29 = all_52_2_24
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1604 yields:
% 60.31/21.71 | (1605) all_57_3_29 = all_52_2_24
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1547,1600) yields a new equation:
% 60.31/21.71 | (1606) all_57_3_29 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1606 yields:
% 60.31/21.71 | (1607) all_57_3_29 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1605,1607) yields a new equation:
% 60.31/21.71 | (1608) all_52_2_24 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Simplifying 1608 yields:
% 60.31/21.71 | (1609) all_52_2_24 = all_52_3_25
% 60.31/21.71 |
% 60.31/21.71 | Combining equations (1603,1609) yields a new equation:
% 60.31/21.71 | (1610) all_52_3_25 = 0
% 60.31/21.71 |
% 60.31/21.71 | From (1610) and (281) follows:
% 60.31/21.71 | (138) leq(n0, n5) = 0
% 60.31/21.71 |
% 60.31/21.71 | Instantiating formula (52) with all_0_6_6, n5 yields:
% 60.31/21.71 | (1612) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.31/21.71 |
% 60.31/21.71 | Instantiating formula (52) with n5, all_0_6_6 yields:
% 60.31/21.71 | (1613) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, n5 yields:
% 60.66/21.71 | (1614) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with n5, all_0_6_6 yields:
% 60.66/21.71 | (1615) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with all_0_6_6, n4 yields:
% 60.66/21.71 | (1616) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with n4, all_0_6_6 yields:
% 60.66/21.71 | (1617) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, n4 yields:
% 60.66/21.71 | (1618) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with n4, all_0_6_6 yields:
% 60.66/21.71 | (1619) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with all_0_6_6, n3 yields:
% 60.66/21.71 | (1620) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with n3, all_0_6_6 yields:
% 60.66/21.71 | (1621) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, n3 yields:
% 60.66/21.71 | (1622) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with n3, all_0_6_6 yields:
% 60.66/21.71 | (1623) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with all_0_6_6, n2 yields:
% 60.66/21.71 | (1624) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with n2, all_0_6_6 yields:
% 60.66/21.71 | (1625) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, n2 yields:
% 60.66/21.71 | (1626) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with n2, all_0_6_6 yields:
% 60.66/21.71 | (1627) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with all_0_6_6, n1 yields:
% 60.66/21.71 | (1628) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with n1, all_0_6_6 yields:
% 60.66/21.71 | (1629) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, n1 yields:
% 60.66/21.71 | (1630) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with n1, all_0_6_6 yields:
% 60.66/21.71 | (1631) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (52) with tptp_minus_1, all_0_6_6 yields:
% 60.66/21.71 | (1632) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.71 |
% 60.66/21.71 | Instantiating formula (107) with all_0_6_6, tptp_minus_1 yields:
% 60.66/21.71 | (1633) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with tptp_minus_1, all_0_6_6 yields:
% 60.66/21.72 | (1634) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_6_6, n0 yields:
% 60.66/21.72 | (1635) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n0, all_0_6_6 yields:
% 60.66/21.72 | (1636) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n0, all_0_6_6 yields:
% 60.66/21.72 | (1637) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_6_6, all_0_6_6 yields:
% 60.66/21.72 | (1638) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_6_6, all_0_6_6 yields:
% 60.66/21.72 | (1639) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, n5 yields:
% 60.66/21.72 | (1640) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n5, all_0_7_7 yields:
% 60.66/21.72 | (1641) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, n5 yields:
% 60.66/21.72 | (1642) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n5, all_0_7_7 yields:
% 60.66/21.72 | (1643) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, n4 yields:
% 60.66/21.72 | (1644) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n4, all_0_7_7 yields:
% 60.66/21.72 | (1645) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, n4 yields:
% 60.66/21.72 | (1646) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n4, all_0_7_7 yields:
% 60.66/21.72 | (1647) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, n3 yields:
% 60.66/21.72 | (1648) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n3, all_0_7_7 yields:
% 60.66/21.72 | (1649) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, n3 yields:
% 60.66/21.72 | (1650) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n3, all_0_7_7 yields:
% 60.66/21.72 | (1651) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, n2 yields:
% 60.66/21.72 | (1652) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n2, all_0_7_7 yields:
% 60.66/21.72 | (1653) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, n2 yields:
% 60.66/21.72 | (1654) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n2, all_0_7_7 yields:
% 60.66/21.72 | (1655) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, n1 yields:
% 60.66/21.72 | (1656) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with n1, all_0_7_7 yields:
% 60.66/21.72 | (1657) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, n1 yields:
% 60.66/21.72 | (1658) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with n1, all_0_7_7 yields:
% 60.66/21.72 | (1659) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with all_0_7_7, tptp_minus_1 yields:
% 60.66/21.72 | (1660) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (52) with tptp_minus_1, all_0_7_7 yields:
% 60.66/21.72 | (1661) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with all_0_7_7, tptp_minus_1 yields:
% 60.66/21.72 | (1662) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.72 |
% 60.66/21.72 | Instantiating formula (107) with tptp_minus_1, all_0_7_7 yields:
% 60.66/21.72 | (1663) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (52) with all_0_7_7, n0 yields:
% 60.66/21.73 | (1664) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (52) with n0, all_0_7_7 yields:
% 60.66/21.73 | (1665) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (107) with all_0_7_7, n0 yields:
% 60.66/21.73 | (1666) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (107) with n0, all_0_7_7 yields:
% 60.66/21.73 | (1667) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (52) with all_0_6_6, all_0_7_7 yields:
% 60.66/21.73 | (1668) ~ (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))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (107) with all_0_7_7, all_0_6_6 yields:
% 60.66/21.73 | (1669) ~ (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))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (52) with all_0_7_7, all_0_7_7 yields:
% 60.66/21.73 | (1670) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating formula (107) with all_0_7_7, all_0_7_7 yields:
% 60.66/21.73 | (1671) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 +-Applying beta-rule and splitting (1668), into two cases.
% 60.66/21.73 |-Branch one:
% 60.66/21.73 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (1672) follows:
% 60.66/21.73 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.73 |
% 60.66/21.73 | Using (272) and (1673) yields:
% 60.66/21.73 | (276) $false
% 60.66/21.73 |
% 60.66/21.73 |-The branch is then unsatisfiable
% 60.66/21.73 |-Branch two:
% 60.66/21.73 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.73 | (1676) ~ (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))
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (265) follows:
% 60.66/21.73 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.73 |
% 60.66/21.73 +-Applying beta-rule and splitting (1669), into two cases.
% 60.66/21.73 |-Branch one:
% 60.66/21.73 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (1672) follows:
% 60.66/21.73 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.73 |
% 60.66/21.73 | Using (272) and (1673) yields:
% 60.66/21.73 | (276) $false
% 60.66/21.73 |
% 60.66/21.73 |-The branch is then unsatisfiable
% 60.66/21.73 |-Branch two:
% 60.66/21.73 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.73 | (1682) ~ (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))
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (265) follows:
% 60.66/21.73 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.73 |
% 60.66/21.73 +-Applying beta-rule and splitting (1670), into two cases.
% 60.66/21.73 |-Branch one:
% 60.66/21.73 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (1684) follows:
% 60.66/21.73 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.73 |
% 60.66/21.73 | Using (273) and (1685) yields:
% 60.66/21.73 | (276) $false
% 60.66/21.73 |
% 60.66/21.73 |-The branch is then unsatisfiable
% 60.66/21.73 |-Branch two:
% 60.66/21.73 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.73 | (1688) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating (1688) with all_1286_0_485, all_1286_1_486, all_1286_2_487, all_1286_3_488 yields:
% 60.66/21.73 | (1689) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1286_0_485 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1286_1_486 & leq(n0, all_0_7_7) = all_1286_2_487 & leq(n0, all_0_7_7) = all_1286_3_488 & ( ~ (all_1286_2_487 = 0) | ~ (all_1286_3_488 = 0) | all_1286_0_485 = all_1286_1_486)
% 60.66/21.73 |
% 60.66/21.73 | Applying alpha-rule on (1689) yields:
% 60.66/21.73 | (1690) leq(n0, all_0_7_7) = all_1286_2_487
% 60.66/21.73 | (1691) leq(n0, all_0_7_7) = all_1286_3_488
% 60.66/21.73 | (1692) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1286_0_485
% 60.66/21.73 | (1693) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1286_1_486
% 60.66/21.73 | (1694) ~ (all_1286_2_487 = 0) | ~ (all_1286_3_488 = 0) | all_1286_0_485 = all_1286_1_486
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (270) follows:
% 60.66/21.73 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.73 |
% 60.66/21.73 +-Applying beta-rule and splitting (1671), into two cases.
% 60.66/21.73 |-Branch one:
% 60.66/21.73 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (1684) follows:
% 60.66/21.73 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.73 |
% 60.66/21.73 | Using (273) and (1685) yields:
% 60.66/21.73 | (276) $false
% 60.66/21.73 |
% 60.66/21.73 |-The branch is then unsatisfiable
% 60.66/21.73 |-Branch two:
% 60.66/21.73 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.73 | (1700) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.73 |
% 60.66/21.73 | Instantiating (1700) with all_1291_0_489, all_1291_1_490, all_1291_2_491, all_1291_3_492 yields:
% 60.66/21.73 | (1701) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_0_489 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_1_490 & leq(n0, all_0_7_7) = all_1291_2_491 & leq(n0, all_0_7_7) = all_1291_3_492 & ( ~ (all_1291_2_491 = 0) | ~ (all_1291_3_492 = 0) | all_1291_0_489 = all_1291_1_490)
% 60.66/21.73 |
% 60.66/21.73 | Applying alpha-rule on (1701) yields:
% 60.66/21.73 | (1702) leq(n0, all_0_7_7) = all_1291_3_492
% 60.66/21.73 | (1703) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_1_490
% 60.66/21.73 | (1704) ~ (all_1291_2_491 = 0) | ~ (all_1291_3_492 = 0) | all_1291_0_489 = all_1291_1_490
% 60.66/21.73 | (1705) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_0_489
% 60.66/21.73 | (1706) leq(n0, all_0_7_7) = all_1291_2_491
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (270) follows:
% 60.66/21.73 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.73 |
% 60.66/21.73 +-Applying beta-rule and splitting (1613), into two cases.
% 60.66/21.73 |-Branch one:
% 60.66/21.73 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.73 |
% 60.66/21.73 | From (143) and (1672) follows:
% 60.66/21.73 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.73 |
% 60.66/21.73 | Using (272) and (1673) yields:
% 60.66/21.73 | (276) $false
% 60.66/21.73 |
% 60.66/21.73 |-The branch is then unsatisfiable
% 60.66/21.73 |-Branch two:
% 60.66/21.73 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.73 | (1712) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1614), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1718) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1612), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1724) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1615), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1730) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1616), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1736) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1617), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1742) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1618), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1748) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1619), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1754) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1620), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1760) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (265) follows:
% 60.66/21.74 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.74 |
% 60.66/21.74 +-Applying beta-rule and splitting (1623), into two cases.
% 60.66/21.74 |-Branch one:
% 60.66/21.74 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.74 |
% 60.66/21.74 | From (143) and (1672) follows:
% 60.66/21.74 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.74 |
% 60.66/21.74 | Using (272) and (1673) yields:
% 60.66/21.74 | (276) $false
% 60.66/21.74 |
% 60.66/21.74 |-The branch is then unsatisfiable
% 60.66/21.74 |-Branch two:
% 60.66/21.74 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.74 | (1766) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1621), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1772) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1622), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1778) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1624), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1784) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1634), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1790) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1632), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1796) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1633), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1802) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1635), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1808) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1637), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1672) follows:
% 60.66/21.75 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (272) and (1673) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.75 | (1814) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (265) follows:
% 60.66/21.75 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.75 |
% 60.66/21.75 +-Applying beta-rule and splitting (1645), into two cases.
% 60.66/21.75 |-Branch one:
% 60.66/21.75 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.75 |
% 60.66/21.75 | From (143) and (1684) follows:
% 60.66/21.75 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.75 |
% 60.66/21.75 | Using (273) and (1685) yields:
% 60.66/21.75 | (276) $false
% 60.66/21.75 |
% 60.66/21.75 |-The branch is then unsatisfiable
% 60.66/21.75 |-Branch two:
% 60.66/21.75 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.75 | (1820) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1646), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1826) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1647), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1832) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1648), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1838) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1651), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1844) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1649), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1850) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1650), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1856) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1652), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1684) follows:
% 60.66/21.76 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (273) and (1685) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.76 | (1862) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (270) follows:
% 60.66/21.76 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.76 |
% 60.66/21.76 +-Applying beta-rule and splitting (1639), into two cases.
% 60.66/21.76 |-Branch one:
% 60.66/21.76 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.76 |
% 60.66/21.76 | From (143) and (1672) follows:
% 60.66/21.76 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.76 |
% 60.66/21.76 | Using (272) and (1673) yields:
% 60.66/21.76 | (276) $false
% 60.66/21.76 |
% 60.66/21.76 |-The branch is then unsatisfiable
% 60.66/21.76 |-Branch two:
% 60.66/21.76 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.76 | (1868) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.76 |
% 60.66/21.76 | Instantiating (1868) with all_1374_0_493, all_1374_1_494, all_1374_2_495, all_1374_3_496 yields:
% 60.66/21.76 | (1869) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1374_0_493 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1374_1_494 & leq(n0, all_0_6_6) = all_1374_2_495 & leq(n0, all_0_6_6) = all_1374_3_496 & ( ~ (all_1374_2_495 = 0) | ~ (all_1374_3_496 = 0) | all_1374_0_493 = all_1374_1_494)
% 60.66/21.76 |
% 60.66/21.76 | Applying alpha-rule on (1869) yields:
% 60.66/21.76 | (1870) leq(n0, all_0_6_6) = all_1374_2_495
% 60.66/21.77 | (1871) leq(n0, all_0_6_6) = all_1374_3_496
% 60.66/21.77 | (1872) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1374_1_494
% 60.66/21.77 | (1873) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1374_0_493
% 60.66/21.77 | (1874) ~ (all_1374_2_495 = 0) | ~ (all_1374_3_496 = 0) | all_1374_0_493 = all_1374_1_494
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1638), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1880) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | Instantiating (1880) with all_1379_0_497, all_1379_1_498, all_1379_2_499, all_1379_3_500 yields:
% 60.66/21.77 | (1881) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1379_0_497 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1379_1_498 & leq(n0, all_0_6_6) = all_1379_2_499 & leq(n0, all_0_6_6) = all_1379_3_500 & ( ~ (all_1379_2_499 = 0) | ~ (all_1379_3_500 = 0) | all_1379_0_497 = all_1379_1_498)
% 60.66/21.77 |
% 60.66/21.77 | Applying alpha-rule on (1881) yields:
% 60.66/21.77 | (1882) leq(n0, all_0_6_6) = all_1379_3_500
% 60.66/21.77 | (1883) leq(n0, all_0_6_6) = all_1379_2_499
% 60.66/21.77 | (1884) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1379_0_497
% 60.66/21.77 | (1885) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1379_1_498
% 60.66/21.77 | (1886) ~ (all_1379_2_499 = 0) | ~ (all_1379_3_500 = 0) | all_1379_0_497 = all_1379_1_498
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1636), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1892) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1629), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1898) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1630), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1904) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1625), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1910) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1626), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1916) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1627), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.77 | Using (272) and (1673) yields:
% 60.66/21.77 | (276) $false
% 60.66/21.77 |
% 60.66/21.77 |-The branch is then unsatisfiable
% 60.66/21.77 |-Branch two:
% 60.66/21.77 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.77 | (1922) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (265) follows:
% 60.66/21.77 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.77 |
% 60.66/21.77 +-Applying beta-rule and splitting (1628), into two cases.
% 60.66/21.77 |-Branch one:
% 60.66/21.77 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.77 |
% 60.66/21.77 | From (143) and (1672) follows:
% 60.66/21.77 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.77 |
% 60.66/21.78 | Using (272) and (1673) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.78 | (1928) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (265) follows:
% 60.66/21.78 | (272) leq(all_0_6_6, n5) = 0
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1631), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1672) follows:
% 60.66/21.78 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (272) and (1673) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 60.66/21.78 | (1934) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1640), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1684) follows:
% 60.66/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (273) and (1685) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.78 | (1939) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (270) follows:
% 60.66/21.78 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1643), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1684) follows:
% 60.66/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (273) and (1685) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.78 | (1945) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (270) follows:
% 60.66/21.78 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1641), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1684) follows:
% 60.66/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (273) and (1685) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.78 | (1951) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (270) follows:
% 60.66/21.78 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1642), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1684) follows:
% 60.66/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (273) and (1685) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.78 | (1957) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (270) follows:
% 60.66/21.78 | (273) leq(all_0_7_7, n5) = 0
% 60.66/21.78 |
% 60.66/21.78 +-Applying beta-rule and splitting (1644), into two cases.
% 60.66/21.78 |-Branch one:
% 60.66/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 60.66/21.78 |
% 60.66/21.78 | From (143) and (1684) follows:
% 60.66/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 60.66/21.78 |
% 60.66/21.78 | Using (273) and (1685) yields:
% 60.66/21.78 | (276) $false
% 60.66/21.78 |
% 60.66/21.78 |-The branch is then unsatisfiable
% 60.66/21.78 |-Branch two:
% 60.66/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 60.66/21.78 | (1963) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (270) follows:
% 61.01/21.78 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.78 |
% 61.01/21.78 +-Applying beta-rule and splitting (1661), into two cases.
% 61.01/21.78 |-Branch one:
% 61.01/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (1684) follows:
% 61.01/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.78 |
% 61.01/21.78 | Using (273) and (1685) yields:
% 61.01/21.78 | (276) $false
% 61.01/21.78 |
% 61.01/21.78 |-The branch is then unsatisfiable
% 61.01/21.78 |-Branch two:
% 61.01/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.78 | (1969) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (270) follows:
% 61.01/21.78 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.78 |
% 61.01/21.78 +-Applying beta-rule and splitting (1662), into two cases.
% 61.01/21.78 |-Branch one:
% 61.01/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (1684) follows:
% 61.01/21.78 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.78 |
% 61.01/21.78 | Using (273) and (1685) yields:
% 61.01/21.78 | (276) $false
% 61.01/21.78 |
% 61.01/21.78 |-The branch is then unsatisfiable
% 61.01/21.78 |-Branch two:
% 61.01/21.78 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.78 | (1975) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (270) follows:
% 61.01/21.78 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.78 |
% 61.01/21.78 +-Applying beta-rule and splitting (1663), into two cases.
% 61.01/21.78 |-Branch one:
% 61.01/21.78 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.78 |
% 61.01/21.78 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (1981) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1664), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (1987) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1667), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (1993) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1653), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (1999) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1654), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (2005) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1655), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (2011) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1656), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (2017) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1659), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (2023) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.79 |
% 61.01/21.79 +-Applying beta-rule and splitting (1657), into two cases.
% 61.01/21.79 |-Branch one:
% 61.01/21.79 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (1684) follows:
% 61.01/21.79 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.79 |
% 61.01/21.79 | Using (273) and (1685) yields:
% 61.01/21.79 | (276) $false
% 61.01/21.79 |
% 61.01/21.79 |-The branch is then unsatisfiable
% 61.01/21.79 |-Branch two:
% 61.01/21.79 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.79 | (2029) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.79 |
% 61.01/21.79 | From (143) and (270) follows:
% 61.01/21.79 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1658), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (1684) follows:
% 61.01/21.80 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (273) and (1685) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.80 | (2035) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (270) follows:
% 61.01/21.80 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1660), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (1684) follows:
% 61.01/21.80 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (273) and (1685) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.80 | (2041) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (270) follows:
% 61.01/21.80 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1665), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (1684) follows:
% 61.01/21.80 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (273) and (1685) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.80 | (2047) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (270) follows:
% 61.01/21.80 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1666), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (1684) follows:
% 61.01/21.80 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (273) and (1685) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.80 | (2053) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (270) follows:
% 61.01/21.80 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1682), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (1684) follows:
% 61.01/21.80 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (273) and (1685) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.01/21.80 | (2059) ? [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))
% 61.01/21.80 |
% 61.01/21.80 | Instantiating (2059) with all_1548_0_515, all_1548_1_516, all_1548_2_517, all_1548_3_518 yields:
% 61.01/21.80 | (2060) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_1548_1_516 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_1548_0_515 & leq(n0, all_0_6_6) = all_1548_3_518 & leq(n0, all_0_7_7) = all_1548_2_517 & ( ~ (all_1548_2_517 = 0) | ~ (all_1548_3_518 = 0) | all_1548_0_515 = all_1548_1_516)
% 61.01/21.80 |
% 61.01/21.80 | Applying alpha-rule on (2060) yields:
% 61.01/21.80 | (2061) leq(n0, all_0_7_7) = all_1548_2_517
% 61.01/21.80 | (2062) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_1548_0_515
% 61.01/21.80 | (2063) leq(n0, all_0_6_6) = all_1548_3_518
% 61.01/21.80 | (2064) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_1548_1_516
% 61.01/21.80 | (2065) ~ (all_1548_2_517 = 0) | ~ (all_1548_3_518 = 0) | all_1548_0_515 = all_1548_1_516
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (270) follows:
% 61.01/21.80 | (273) leq(all_0_7_7, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1712), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (274) follows:
% 61.01/21.80 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (132) and (275) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.80 | (2071) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | Instantiating (2071) with all_1583_0_525, all_1583_1_526, all_1583_2_527, all_1583_3_528 yields:
% 61.01/21.80 | (2072) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1583_1_526 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1583_0_525 & leq(n0, all_0_6_6) = all_1583_3_528 & leq(n0, n5) = all_1583_2_527 & ( ~ (all_1583_2_527 = 0) | ~ (all_1583_3_528 = 0) | all_1583_0_525 = all_1583_1_526)
% 61.01/21.80 |
% 61.01/21.80 | Applying alpha-rule on (2072) yields:
% 61.01/21.80 | (2073) leq(n0, all_0_6_6) = all_1583_3_528
% 61.01/21.80 | (2074) leq(n0, n5) = all_1583_2_527
% 61.01/21.80 | (2075) ~ (all_1583_2_527 = 0) | ~ (all_1583_3_528 = 0) | all_1583_0_525 = all_1583_1_526
% 61.01/21.80 | (2076) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1583_1_526
% 61.01/21.80 | (2077) a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1583_0_525
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (277) follows:
% 61.01/21.80 | (132) leq(n5, n5) = 0
% 61.01/21.80 |
% 61.01/21.80 +-Applying beta-rule and splitting (1718), into two cases.
% 61.01/21.80 |-Branch one:
% 61.01/21.80 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.80 |
% 61.01/21.80 | From (143) and (274) follows:
% 61.01/21.80 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.80 |
% 61.01/21.80 | Using (132) and (275) yields:
% 61.01/21.80 | (276) $false
% 61.01/21.80 |
% 61.01/21.80 |-The branch is then unsatisfiable
% 61.01/21.80 |-Branch two:
% 61.01/21.80 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.80 | (2083) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.80 |
% 61.01/21.80 | Instantiating (2083) with all_1588_0_529, all_1588_1_530, all_1588_2_531, all_1588_3_532 yields:
% 61.01/21.80 | (2084) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1588_0_529 & a_select3(q_ds1_filter, n5, all_0_6_6) = all_1588_1_530 & leq(n0, all_0_6_6) = all_1588_2_531 & leq(n0, n5) = all_1588_3_532 & ( ~ (all_1588_2_531 = 0) | ~ (all_1588_3_532 = 0) | all_1588_0_529 = all_1588_1_530)
% 61.01/21.80 |
% 61.01/21.80 | Applying alpha-rule on (2084) yields:
% 61.01/21.80 | (2085) leq(n0, n5) = all_1588_3_532
% 61.01/21.81 | (2086) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1588_0_529
% 61.01/21.81 | (2087) a_select3(q_ds1_filter, n5, all_0_6_6) = all_1588_1_530
% 61.01/21.81 | (2088) ~ (all_1588_2_531 = 0) | ~ (all_1588_3_532 = 0) | all_1588_0_529 = all_1588_1_530
% 61.01/21.81 | (2089) leq(n0, all_0_6_6) = all_1588_2_531
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (277) follows:
% 61.01/21.81 | (132) leq(n5, n5) = 0
% 61.01/21.81 |
% 61.01/21.81 +-Applying beta-rule and splitting (1724), into two cases.
% 61.01/21.81 |-Branch one:
% 61.01/21.81 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (274) follows:
% 61.01/21.81 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.81 |
% 61.01/21.81 | Using (132) and (275) yields:
% 61.01/21.81 | (276) $false
% 61.01/21.81 |
% 61.01/21.81 |-The branch is then unsatisfiable
% 61.01/21.81 |-Branch two:
% 61.01/21.81 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.81 | (2095) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.81 |
% 61.01/21.81 | Instantiating (2095) with all_1593_0_533, all_1593_1_534, all_1593_2_535, all_1593_3_536 yields:
% 61.01/21.81 | (2096) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1593_0_533 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1593_1_534 & leq(n0, all_0_6_6) = all_1593_2_535 & leq(n0, n5) = all_1593_3_536 & ( ~ (all_1593_2_535 = 0) | ~ (all_1593_3_536 = 0) | all_1593_0_533 = all_1593_1_534)
% 61.01/21.81 |
% 61.01/21.81 | Applying alpha-rule on (2096) yields:
% 61.01/21.81 | (2097) leq(n0, n5) = all_1593_3_536
% 61.01/21.81 | (2098) ~ (all_1593_2_535 = 0) | ~ (all_1593_3_536 = 0) | all_1593_0_533 = all_1593_1_534
% 61.01/21.81 | (2099) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1593_0_533
% 61.01/21.81 | (2100) a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1593_1_534
% 61.01/21.81 | (2101) leq(n0, all_0_6_6) = all_1593_2_535
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (277) follows:
% 61.01/21.81 | (132) leq(n5, n5) = 0
% 61.01/21.81 |
% 61.01/21.81 +-Applying beta-rule and splitting (1730), into two cases.
% 61.01/21.81 |-Branch one:
% 61.01/21.81 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (274) follows:
% 61.01/21.81 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.81 |
% 61.01/21.81 | Using (132) and (275) yields:
% 61.01/21.81 | (276) $false
% 61.01/21.81 |
% 61.01/21.81 |-The branch is then unsatisfiable
% 61.01/21.81 |-Branch two:
% 61.01/21.81 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.81 | (2107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.81 |
% 61.01/21.81 | Instantiating (2107) with all_1598_0_537, all_1598_1_538, all_1598_2_539, all_1598_3_540 yields:
% 61.01/21.81 | (2108) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1598_1_538 & a_select3(q_ds1_filter, n5, all_0_6_6) = all_1598_0_537 & leq(n0, all_0_6_6) = all_1598_3_540 & leq(n0, n5) = all_1598_2_539 & ( ~ (all_1598_2_539 = 0) | ~ (all_1598_3_540 = 0) | all_1598_0_537 = all_1598_1_538)
% 61.01/21.81 |
% 61.01/21.81 | Applying alpha-rule on (2108) yields:
% 61.01/21.81 | (2109) leq(n0, n5) = all_1598_2_539
% 61.01/21.81 | (2110) ~ (all_1598_2_539 = 0) | ~ (all_1598_3_540 = 0) | all_1598_0_537 = all_1598_1_538
% 61.01/21.81 | (2111) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1598_1_538
% 61.01/21.81 | (2112) leq(n0, all_0_6_6) = all_1598_3_540
% 61.01/21.81 | (2113) a_select3(q_ds1_filter, n5, all_0_6_6) = all_1598_0_537
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (277) follows:
% 61.01/21.81 | (132) leq(n5, n5) = 0
% 61.01/21.81 |
% 61.01/21.81 +-Applying beta-rule and splitting (1736), into two cases.
% 61.01/21.81 |-Branch one:
% 61.01/21.81 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (298) follows:
% 61.01/21.81 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.81 |
% 61.01/21.81 | Using (133) and (299) yields:
% 61.01/21.81 | (276) $false
% 61.01/21.81 |
% 61.01/21.81 |-The branch is then unsatisfiable
% 61.01/21.81 |-Branch two:
% 61.01/21.81 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.81 | (2119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.81 |
% 61.01/21.81 | Instantiating (2119) with all_1603_0_541, all_1603_1_542, all_1603_2_543, all_1603_3_544 yields:
% 61.01/21.81 | (2120) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1603_0_541 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1603_1_542 & leq(n0, all_0_6_6) = all_1603_2_543 & leq(n0, n4) = all_1603_3_544 & ( ~ (all_1603_2_543 = 0) | ~ (all_1603_3_544 = 0) | all_1603_0_541 = all_1603_1_542)
% 61.01/21.81 |
% 61.01/21.81 | Applying alpha-rule on (2120) yields:
% 61.01/21.81 | (2121) leq(n0, all_0_6_6) = all_1603_2_543
% 61.01/21.81 | (2122) leq(n0, n4) = all_1603_3_544
% 61.01/21.81 | (2123) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1603_0_541
% 61.01/21.81 | (2124) ~ (all_1603_2_543 = 0) | ~ (all_1603_3_544 = 0) | all_1603_0_541 = all_1603_1_542
% 61.01/21.81 | (2125) a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1603_1_542
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (301) follows:
% 61.01/21.81 | (133) leq(n4, n5) = 0
% 61.01/21.81 |
% 61.01/21.81 +-Applying beta-rule and splitting (1742), into two cases.
% 61.01/21.81 |-Branch one:
% 61.01/21.81 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (298) follows:
% 61.01/21.81 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.81 |
% 61.01/21.81 | Using (133) and (299) yields:
% 61.01/21.81 | (276) $false
% 61.01/21.81 |
% 61.01/21.81 |-The branch is then unsatisfiable
% 61.01/21.81 |-Branch two:
% 61.01/21.81 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.81 | (2131) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.81 |
% 61.01/21.81 | Instantiating (2131) with all_1608_0_545, all_1608_1_546, all_1608_2_547, all_1608_3_548 yields:
% 61.01/21.81 | (2132) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1608_1_546 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1608_0_545 & leq(n0, all_0_6_6) = all_1608_3_548 & leq(n0, n4) = all_1608_2_547 & ( ~ (all_1608_2_547 = 0) | ~ (all_1608_3_548 = 0) | all_1608_0_545 = all_1608_1_546)
% 61.01/21.81 |
% 61.01/21.81 | Applying alpha-rule on (2132) yields:
% 61.01/21.81 | (2133) ~ (all_1608_2_547 = 0) | ~ (all_1608_3_548 = 0) | all_1608_0_545 = all_1608_1_546
% 61.01/21.81 | (2134) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1608_1_546
% 61.01/21.81 | (2135) a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1608_0_545
% 61.01/21.81 | (2136) leq(n0, all_0_6_6) = all_1608_3_548
% 61.01/21.81 | (2137) leq(n0, n4) = all_1608_2_547
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (301) follows:
% 61.01/21.81 | (133) leq(n4, n5) = 0
% 61.01/21.81 |
% 61.01/21.81 +-Applying beta-rule and splitting (1748), into two cases.
% 61.01/21.81 |-Branch one:
% 61.01/21.81 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.81 |
% 61.01/21.81 | From (143) and (298) follows:
% 61.01/21.81 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.81 |
% 61.01/21.81 | Using (133) and (299) yields:
% 61.01/21.81 | (276) $false
% 61.01/21.81 |
% 61.01/21.81 |-The branch is then unsatisfiable
% 61.01/21.81 |-Branch two:
% 61.01/21.81 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.81 | (2143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.81 |
% 61.01/21.81 | Instantiating (2143) with all_1613_0_549, all_1613_1_550, all_1613_2_551, all_1613_3_552 yields:
% 61.01/21.81 | (2144) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1613_0_549 & a_select3(q_ds1_filter, n4, all_0_6_6) = all_1613_1_550 & leq(n0, all_0_6_6) = all_1613_2_551 & leq(n0, n4) = all_1613_3_552 & ( ~ (all_1613_2_551 = 0) | ~ (all_1613_3_552 = 0) | all_1613_0_549 = all_1613_1_550)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2144) yields:
% 61.01/21.82 | (2145) leq(n0, all_0_6_6) = all_1613_2_551
% 61.01/21.82 | (2146) ~ (all_1613_2_551 = 0) | ~ (all_1613_3_552 = 0) | all_1613_0_549 = all_1613_1_550
% 61.01/21.82 | (2147) a_select3(q_ds1_filter, n4, all_0_6_6) = all_1613_1_550
% 61.01/21.82 | (2148) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1613_0_549
% 61.01/21.82 | (2149) leq(n0, n4) = all_1613_3_552
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (301) follows:
% 61.01/21.82 | (133) leq(n4, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1754), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (298) follows:
% 61.01/21.82 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (133) and (299) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.82 | (2155) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.82 |
% 61.01/21.82 | Instantiating (2155) with all_1618_0_553, all_1618_1_554, all_1618_2_555, all_1618_3_556 yields:
% 61.01/21.82 | (2156) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1618_1_554 & a_select3(q_ds1_filter, n4, all_0_6_6) = all_1618_0_553 & leq(n0, all_0_6_6) = all_1618_3_556 & leq(n0, n4) = all_1618_2_555 & ( ~ (all_1618_2_555 = 0) | ~ (all_1618_3_556 = 0) | all_1618_0_553 = all_1618_1_554)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2156) yields:
% 61.01/21.82 | (2157) ~ (all_1618_2_555 = 0) | ~ (all_1618_3_556 = 0) | all_1618_0_553 = all_1618_1_554
% 61.01/21.82 | (2158) leq(n0, all_0_6_6) = all_1618_3_556
% 61.01/21.82 | (2159) leq(n0, n4) = all_1618_2_555
% 61.01/21.82 | (2160) a_select3(q_ds1_filter, n4, all_0_6_6) = all_1618_0_553
% 61.01/21.82 | (2161) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1618_1_554
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (301) follows:
% 61.01/21.82 | (133) leq(n4, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1760), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (316) follows:
% 61.01/21.82 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (134) and (317) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.82 | (2167) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.82 |
% 61.01/21.82 | Instantiating (2167) with all_1623_0_557, all_1623_1_558, all_1623_2_559, all_1623_3_560 yields:
% 61.01/21.82 | (2168) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1623_0_557 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1623_1_558 & leq(n0, all_0_6_6) = all_1623_2_559 & leq(n0, n3) = all_1623_3_560 & ( ~ (all_1623_2_559 = 0) | ~ (all_1623_3_560 = 0) | all_1623_0_557 = all_1623_1_558)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2168) yields:
% 61.01/21.82 | (2169) ~ (all_1623_2_559 = 0) | ~ (all_1623_3_560 = 0) | all_1623_0_557 = all_1623_1_558
% 61.01/21.82 | (2170) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1623_0_557
% 61.01/21.82 | (2171) leq(n0, all_0_6_6) = all_1623_2_559
% 61.01/21.82 | (2172) leq(n0, n3) = all_1623_3_560
% 61.01/21.82 | (2173) a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1623_1_558
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (319) follows:
% 61.01/21.82 | (134) leq(n3, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1766), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (316) follows:
% 61.01/21.82 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (134) and (317) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.82 | (2179) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.82 |
% 61.01/21.82 | Instantiating (2179) with all_1628_0_561, all_1628_1_562, all_1628_2_563, all_1628_3_564 yields:
% 61.01/21.82 | (2180) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1628_1_562 & a_select3(q_ds1_filter, n3, all_0_6_6) = all_1628_0_561 & leq(n0, all_0_6_6) = all_1628_3_564 & leq(n0, n3) = all_1628_2_563 & ( ~ (all_1628_2_563 = 0) | ~ (all_1628_3_564 = 0) | all_1628_0_561 = all_1628_1_562)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2180) yields:
% 61.01/21.82 | (2181) ~ (all_1628_2_563 = 0) | ~ (all_1628_3_564 = 0) | all_1628_0_561 = all_1628_1_562
% 61.01/21.82 | (2182) leq(n0, n3) = all_1628_2_563
% 61.01/21.82 | (2183) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1628_1_562
% 61.01/21.82 | (2184) leq(n0, all_0_6_6) = all_1628_3_564
% 61.01/21.82 | (2185) a_select3(q_ds1_filter, n3, all_0_6_6) = all_1628_0_561
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (319) follows:
% 61.01/21.82 | (134) leq(n3, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1772), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (316) follows:
% 61.01/21.82 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (134) and (317) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.82 | (2191) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.82 |
% 61.01/21.82 | Instantiating (2191) with all_1633_0_565, all_1633_1_566, all_1633_2_567, all_1633_3_568 yields:
% 61.01/21.82 | (2192) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1633_1_566 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1633_0_565 & leq(n0, all_0_6_6) = all_1633_3_568 & leq(n0, n3) = all_1633_2_567 & ( ~ (all_1633_2_567 = 0) | ~ (all_1633_3_568 = 0) | all_1633_0_565 = all_1633_1_566)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2192) yields:
% 61.01/21.82 | (2193) leq(n0, all_0_6_6) = all_1633_3_568
% 61.01/21.82 | (2194) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1633_1_566
% 61.01/21.82 | (2195) leq(n0, n3) = all_1633_2_567
% 61.01/21.82 | (2196) ~ (all_1633_2_567 = 0) | ~ (all_1633_3_568 = 0) | all_1633_0_565 = all_1633_1_566
% 61.01/21.82 | (2197) a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1633_0_565
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (319) follows:
% 61.01/21.82 | (134) leq(n3, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1778), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (316) follows:
% 61.01/21.82 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (134) and (317) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.82 | (2203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.82 |
% 61.01/21.82 | Instantiating (2203) with all_1638_0_569, all_1638_1_570, all_1638_2_571, all_1638_3_572 yields:
% 61.01/21.82 | (2204) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1638_0_569 & a_select3(q_ds1_filter, n3, all_0_6_6) = all_1638_1_570 & leq(n0, all_0_6_6) = all_1638_2_571 & leq(n0, n3) = all_1638_3_572 & ( ~ (all_1638_2_571 = 0) | ~ (all_1638_3_572 = 0) | all_1638_0_569 = all_1638_1_570)
% 61.01/21.82 |
% 61.01/21.82 | Applying alpha-rule on (2204) yields:
% 61.01/21.82 | (2205) ~ (all_1638_2_571 = 0) | ~ (all_1638_3_572 = 0) | all_1638_0_569 = all_1638_1_570
% 61.01/21.82 | (2206) leq(n0, all_0_6_6) = all_1638_2_571
% 61.01/21.82 | (2207) leq(n0, n3) = all_1638_3_572
% 61.01/21.82 | (2208) a_select3(q_ds1_filter, n3, all_0_6_6) = all_1638_1_570
% 61.01/21.82 | (2209) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1638_0_569
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (319) follows:
% 61.01/21.82 | (134) leq(n3, n5) = 0
% 61.01/21.82 |
% 61.01/21.82 +-Applying beta-rule and splitting (1784), into two cases.
% 61.01/21.82 |-Branch one:
% 61.01/21.82 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.01/21.82 |
% 61.01/21.82 | From (143) and (310) follows:
% 61.01/21.82 | (311) ~ (leq(n2, n5) = 0)
% 61.01/21.82 |
% 61.01/21.82 | Using (135) and (311) yields:
% 61.01/21.82 | (276) $false
% 61.01/21.82 |
% 61.01/21.82 |-The branch is then unsatisfiable
% 61.01/21.82 |-Branch two:
% 61.01/21.82 | (313) leq(n2, all_0_9_9) = 0
% 61.01/21.82 | (2215) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2215) with all_1643_0_573, all_1643_1_574, all_1643_2_575, all_1643_3_576 yields:
% 61.01/21.83 | (2216) a_select3(pminus_ds1_filter, all_0_6_6, n2) = all_1643_0_573 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = all_1643_1_574 & leq(n0, all_0_6_6) = all_1643_2_575 & leq(n0, n2) = all_1643_3_576 & ( ~ (all_1643_2_575 = 0) | ~ (all_1643_3_576 = 0) | all_1643_0_573 = all_1643_1_574)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2216) yields:
% 61.01/21.83 | (2217) leq(n0, n2) = all_1643_3_576
% 61.01/21.83 | (2218) a_select3(pminus_ds1_filter, n2, all_0_6_6) = all_1643_1_574
% 61.01/21.83 | (2219) leq(n0, all_0_6_6) = all_1643_2_575
% 61.01/21.83 | (2220) ~ (all_1643_2_575 = 0) | ~ (all_1643_3_576 = 0) | all_1643_0_573 = all_1643_1_574
% 61.01/21.83 | (2221) a_select3(pminus_ds1_filter, all_0_6_6, n2) = all_1643_0_573
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (313) follows:
% 61.01/21.83 | (135) leq(n2, n5) = 0
% 61.01/21.83 |
% 61.01/21.83 +-Applying beta-rule and splitting (1790), into two cases.
% 61.01/21.83 |-Branch one:
% 61.01/21.83 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (346) follows:
% 61.01/21.83 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.01/21.83 |
% 61.01/21.83 | Using (137) and (347) yields:
% 61.01/21.83 | (276) $false
% 61.01/21.83 |
% 61.01/21.83 |-The branch is then unsatisfiable
% 61.01/21.83 |-Branch two:
% 61.01/21.83 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.01/21.83 | (2227) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2227) with all_1648_0_577, all_1648_1_578, all_1648_2_579, all_1648_3_580 yields:
% 61.01/21.83 | (2228) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1648_1_578 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1648_0_577 & leq(n0, all_0_6_6) = all_1648_3_580 & leq(n0, tptp_minus_1) = all_1648_2_579 & ( ~ (all_1648_2_579 = 0) | ~ (all_1648_3_580 = 0) | all_1648_0_577 = all_1648_1_578)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2228) yields:
% 61.01/21.83 | (2229) ~ (all_1648_2_579 = 0) | ~ (all_1648_3_580 = 0) | all_1648_0_577 = all_1648_1_578
% 61.01/21.83 | (2230) leq(n0, tptp_minus_1) = all_1648_2_579
% 61.01/21.83 | (2231) leq(n0, all_0_6_6) = all_1648_3_580
% 61.01/21.83 | (2232) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1648_1_578
% 61.01/21.83 | (2233) a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1648_0_577
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (349) follows:
% 61.01/21.83 | (137) leq(tptp_minus_1, n5) = 0
% 61.01/21.83 |
% 61.01/21.83 +-Applying beta-rule and splitting (1796), into two cases.
% 61.01/21.83 |-Branch one:
% 61.01/21.83 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (346) follows:
% 61.01/21.83 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.01/21.83 |
% 61.01/21.83 | Using (137) and (347) yields:
% 61.01/21.83 | (276) $false
% 61.01/21.83 |
% 61.01/21.83 |-The branch is then unsatisfiable
% 61.01/21.83 |-Branch two:
% 61.01/21.83 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.01/21.83 | (2239) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2239) with all_1653_0_581, all_1653_1_582, all_1653_2_583, all_1653_3_584 yields:
% 61.01/21.83 | (2240) a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = all_1653_1_582 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = all_1653_0_581 & leq(n0, all_0_6_6) = all_1653_3_584 & leq(n0, tptp_minus_1) = all_1653_2_583 & ( ~ (all_1653_2_583 = 0) | ~ (all_1653_3_584 = 0) | all_1653_0_581 = all_1653_1_582)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2240) yields:
% 61.01/21.83 | (2241) leq(n0, tptp_minus_1) = all_1653_2_583
% 61.01/21.83 | (2242) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = all_1653_0_581
% 61.01/21.83 | (2243) leq(n0, all_0_6_6) = all_1653_3_584
% 61.01/21.83 | (2244) ~ (all_1653_2_583 = 0) | ~ (all_1653_3_584 = 0) | all_1653_0_581 = all_1653_1_582
% 61.01/21.83 | (2245) a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = all_1653_1_582
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (349) follows:
% 61.01/21.83 | (137) leq(tptp_minus_1, n5) = 0
% 61.01/21.83 |
% 61.01/21.83 +-Applying beta-rule and splitting (1802), into two cases.
% 61.01/21.83 |-Branch one:
% 61.01/21.83 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (346) follows:
% 61.01/21.83 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.01/21.83 |
% 61.01/21.83 | Using (137) and (347) yields:
% 61.01/21.83 | (276) $false
% 61.01/21.83 |
% 61.01/21.83 |-The branch is then unsatisfiable
% 61.01/21.83 |-Branch two:
% 61.01/21.83 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.01/21.83 | (2251) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2251) with all_1658_0_585, all_1658_1_586, all_1658_2_587, all_1658_3_588 yields:
% 61.01/21.83 | (2252) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1658_0_585 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1658_1_586 & leq(n0, all_0_6_6) = all_1658_2_587 & leq(n0, tptp_minus_1) = all_1658_3_588 & ( ~ (all_1658_2_587 = 0) | ~ (all_1658_3_588 = 0) | all_1658_0_585 = all_1658_1_586)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2252) yields:
% 61.01/21.83 | (2253) leq(n0, tptp_minus_1) = all_1658_3_588
% 61.01/21.83 | (2254) ~ (all_1658_2_587 = 0) | ~ (all_1658_3_588 = 0) | all_1658_0_585 = all_1658_1_586
% 61.01/21.83 | (2255) leq(n0, all_0_6_6) = all_1658_2_587
% 61.01/21.83 | (2256) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1658_0_585
% 61.01/21.83 | (2257) a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1658_1_586
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (349) follows:
% 61.01/21.83 | (137) leq(tptp_minus_1, n5) = 0
% 61.01/21.83 |
% 61.01/21.83 +-Applying beta-rule and splitting (1808), into two cases.
% 61.01/21.83 |-Branch one:
% 61.01/21.83 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (358) follows:
% 61.01/21.83 | (359) ~ (leq(n0, n5) = 0)
% 61.01/21.83 |
% 61.01/21.83 | Using (138) and (359) yields:
% 61.01/21.83 | (276) $false
% 61.01/21.83 |
% 61.01/21.83 |-The branch is then unsatisfiable
% 61.01/21.83 |-Branch two:
% 61.01/21.83 | (361) leq(n0, all_0_9_9) = 0
% 61.01/21.83 | (2263) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2263) with all_1663_0_589, all_1663_1_590, all_1663_2_591, all_1663_3_592 yields:
% 61.01/21.83 | (2264) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1663_0_589 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1663_1_590 & leq(n0, all_0_6_6) = all_1663_2_591 & leq(n0, n0) = all_1663_3_592 & ( ~ (all_1663_2_591 = 0) | ~ (all_1663_3_592 = 0) | all_1663_0_589 = all_1663_1_590)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2264) yields:
% 61.01/21.83 | (2265) leq(n0, n0) = all_1663_3_592
% 61.01/21.83 | (2266) ~ (all_1663_2_591 = 0) | ~ (all_1663_3_592 = 0) | all_1663_0_589 = all_1663_1_590
% 61.01/21.83 | (2267) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1663_0_589
% 61.01/21.83 | (2268) a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1663_1_590
% 61.01/21.83 | (2269) leq(n0, all_0_6_6) = all_1663_2_591
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (361) follows:
% 61.01/21.83 | (138) leq(n0, n5) = 0
% 61.01/21.83 |
% 61.01/21.83 +-Applying beta-rule and splitting (1814), into two cases.
% 61.01/21.83 |-Branch one:
% 61.01/21.83 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.01/21.83 |
% 61.01/21.83 | From (143) and (358) follows:
% 61.01/21.83 | (359) ~ (leq(n0, n5) = 0)
% 61.01/21.83 |
% 61.01/21.83 | Using (138) and (359) yields:
% 61.01/21.83 | (276) $false
% 61.01/21.83 |
% 61.01/21.83 |-The branch is then unsatisfiable
% 61.01/21.83 |-Branch two:
% 61.01/21.83 | (361) leq(n0, all_0_9_9) = 0
% 61.01/21.83 | (2275) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.83 |
% 61.01/21.83 | Instantiating (2275) with all_1668_0_593, all_1668_1_594, all_1668_2_595, all_1668_3_596 yields:
% 61.01/21.83 | (2276) a_select3(q_ds1_filter, all_0_6_6, n0) = all_1668_1_594 & a_select3(q_ds1_filter, n0, all_0_6_6) = all_1668_0_593 & leq(n0, all_0_6_6) = all_1668_3_596 & leq(n0, n0) = all_1668_2_595 & ( ~ (all_1668_2_595 = 0) | ~ (all_1668_3_596 = 0) | all_1668_0_593 = all_1668_1_594)
% 61.01/21.83 |
% 61.01/21.83 | Applying alpha-rule on (2276) yields:
% 61.01/21.84 | (2277) leq(n0, all_0_6_6) = all_1668_3_596
% 61.01/21.84 | (2278) leq(n0, n0) = all_1668_2_595
% 61.01/21.84 | (2279) a_select3(q_ds1_filter, n0, all_0_6_6) = all_1668_0_593
% 61.01/21.84 | (2280) a_select3(q_ds1_filter, all_0_6_6, n0) = all_1668_1_594
% 61.01/21.84 | (2281) ~ (all_1668_2_595 = 0) | ~ (all_1668_3_596 = 0) | all_1668_0_593 = all_1668_1_594
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (361) follows:
% 61.01/21.84 | (138) leq(n0, n5) = 0
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1820), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (298) follows:
% 61.01/21.84 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (133) and (299) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.84 | (2287) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.84 |
% 61.01/21.84 | Instantiating (2287) with all_1673_0_597, all_1673_1_598, all_1673_2_599, all_1673_3_600 yields:
% 61.01/21.84 | (2288) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1673_1_598 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1673_0_597 & leq(n0, all_0_7_7) = all_1673_3_600 & leq(n0, n4) = all_1673_2_599 & ( ~ (all_1673_2_599 = 0) | ~ (all_1673_3_600 = 0) | all_1673_0_597 = all_1673_1_598)
% 61.01/21.84 |
% 61.01/21.84 | Applying alpha-rule on (2288) yields:
% 61.01/21.84 | (2289) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1673_1_598
% 61.01/21.84 | (2290) leq(n0, n4) = all_1673_2_599
% 61.01/21.84 | (2291) leq(n0, all_0_7_7) = all_1673_3_600
% 61.01/21.84 | (2292) ~ (all_1673_2_599 = 0) | ~ (all_1673_3_600 = 0) | all_1673_0_597 = all_1673_1_598
% 61.01/21.84 | (2293) a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1673_0_597
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (301) follows:
% 61.01/21.84 | (133) leq(n4, n5) = 0
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1826), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (298) follows:
% 61.01/21.84 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (133) and (299) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.84 | (2299) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.84 |
% 61.01/21.84 | Instantiating (2299) with all_1678_0_601, all_1678_1_602, all_1678_2_603, all_1678_3_604 yields:
% 61.01/21.84 | (2300) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1678_0_601 & a_select3(q_ds1_filter, n4, all_0_7_7) = all_1678_1_602 & leq(n0, all_0_7_7) = all_1678_2_603 & leq(n0, n4) = all_1678_3_604 & ( ~ (all_1678_2_603 = 0) | ~ (all_1678_3_604 = 0) | all_1678_0_601 = all_1678_1_602)
% 61.01/21.84 |
% 61.01/21.84 | Applying alpha-rule on (2300) yields:
% 61.01/21.84 | (2301) ~ (all_1678_2_603 = 0) | ~ (all_1678_3_604 = 0) | all_1678_0_601 = all_1678_1_602
% 61.01/21.84 | (2302) leq(n0, all_0_7_7) = all_1678_2_603
% 61.01/21.84 | (2303) a_select3(q_ds1_filter, n4, all_0_7_7) = all_1678_1_602
% 61.01/21.84 | (2304) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1678_0_601
% 61.01/21.84 | (2305) leq(n0, n4) = all_1678_3_604
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (301) follows:
% 61.01/21.84 | (133) leq(n4, n5) = 0
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1832), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (298) follows:
% 61.01/21.84 | (299) ~ (leq(n4, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (133) and (299) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (301) leq(n4, all_0_9_9) = 0
% 61.01/21.84 | (2311) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.84 |
% 61.01/21.84 | Instantiating (2311) with all_1683_0_605, all_1683_1_606, all_1683_2_607, all_1683_3_608 yields:
% 61.01/21.84 | (2312) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1683_1_606 & a_select3(q_ds1_filter, n4, all_0_7_7) = all_1683_0_605 & leq(n0, all_0_7_7) = all_1683_3_608 & leq(n0, n4) = all_1683_2_607 & ( ~ (all_1683_2_607 = 0) | ~ (all_1683_3_608 = 0) | all_1683_0_605 = all_1683_1_606)
% 61.01/21.84 |
% 61.01/21.84 | Applying alpha-rule on (2312) yields:
% 61.01/21.84 | (2313) ~ (all_1683_2_607 = 0) | ~ (all_1683_3_608 = 0) | all_1683_0_605 = all_1683_1_606
% 61.01/21.84 | (2314) leq(n0, all_0_7_7) = all_1683_3_608
% 61.01/21.84 | (2315) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1683_1_606
% 61.01/21.84 | (2316) a_select3(q_ds1_filter, n4, all_0_7_7) = all_1683_0_605
% 61.01/21.84 | (2317) leq(n0, n4) = all_1683_2_607
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1838), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (316) follows:
% 61.01/21.84 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (134) and (317) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.84 | (2322) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.84 |
% 61.01/21.84 | Instantiating (2322) with all_1688_0_609, all_1688_1_610, all_1688_2_611, all_1688_3_612 yields:
% 61.01/21.84 | (2323) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1688_0_609 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1688_1_610 & leq(n0, all_0_7_7) = all_1688_2_611 & leq(n0, n3) = all_1688_3_612 & ( ~ (all_1688_2_611 = 0) | ~ (all_1688_3_612 = 0) | all_1688_0_609 = all_1688_1_610)
% 61.01/21.84 |
% 61.01/21.84 | Applying alpha-rule on (2323) yields:
% 61.01/21.84 | (2324) leq(n0, all_0_7_7) = all_1688_2_611
% 61.01/21.84 | (2325) ~ (all_1688_2_611 = 0) | ~ (all_1688_3_612 = 0) | all_1688_0_609 = all_1688_1_610
% 61.01/21.84 | (2326) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1688_0_609
% 61.01/21.84 | (2327) a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1688_1_610
% 61.01/21.84 | (2328) leq(n0, n3) = all_1688_3_612
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (319) follows:
% 61.01/21.84 | (134) leq(n3, n5) = 0
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1844), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (316) follows:
% 61.01/21.84 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (134) and (317) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.84 | (2334) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.84 |
% 61.01/21.84 | Instantiating (2334) with all_1693_0_613, all_1693_1_614, all_1693_2_615, all_1693_3_616 yields:
% 61.01/21.84 | (2335) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1693_1_614 & a_select3(q_ds1_filter, n3, all_0_7_7) = all_1693_0_613 & leq(n0, all_0_7_7) = all_1693_3_616 & leq(n0, n3) = all_1693_2_615 & ( ~ (all_1693_2_615 = 0) | ~ (all_1693_3_616 = 0) | all_1693_0_613 = all_1693_1_614)
% 61.01/21.84 |
% 61.01/21.84 | Applying alpha-rule on (2335) yields:
% 61.01/21.84 | (2336) ~ (all_1693_2_615 = 0) | ~ (all_1693_3_616 = 0) | all_1693_0_613 = all_1693_1_614
% 61.01/21.84 | (2337) leq(n0, all_0_7_7) = all_1693_3_616
% 61.01/21.84 | (2338) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1693_1_614
% 61.01/21.84 | (2339) leq(n0, n3) = all_1693_2_615
% 61.01/21.84 | (2340) a_select3(q_ds1_filter, n3, all_0_7_7) = all_1693_0_613
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (319) follows:
% 61.01/21.84 | (134) leq(n3, n5) = 0
% 61.01/21.84 |
% 61.01/21.84 +-Applying beta-rule and splitting (1850), into two cases.
% 61.01/21.84 |-Branch one:
% 61.01/21.84 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.84 |
% 61.01/21.84 | From (143) and (316) follows:
% 61.01/21.84 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.84 |
% 61.01/21.84 | Using (134) and (317) yields:
% 61.01/21.84 | (276) $false
% 61.01/21.84 |
% 61.01/21.84 |-The branch is then unsatisfiable
% 61.01/21.84 |-Branch two:
% 61.01/21.84 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.85 | (2346) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2346) with all_1698_0_617, all_1698_1_618, all_1698_2_619, all_1698_3_620 yields:
% 61.01/21.85 | (2347) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1698_1_618 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1698_0_617 & leq(n0, all_0_7_7) = all_1698_3_620 & leq(n0, n3) = all_1698_2_619 & ( ~ (all_1698_2_619 = 0) | ~ (all_1698_3_620 = 0) | all_1698_0_617 = all_1698_1_618)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2347) yields:
% 61.01/21.85 | (2348) a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1698_0_617
% 61.01/21.85 | (2349) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1698_1_618
% 61.01/21.85 | (2350) leq(n0, all_0_7_7) = all_1698_3_620
% 61.01/21.85 | (2351) leq(n0, n3) = all_1698_2_619
% 61.01/21.85 | (2352) ~ (all_1698_2_619 = 0) | ~ (all_1698_3_620 = 0) | all_1698_0_617 = all_1698_1_618
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (319) follows:
% 61.01/21.85 | (134) leq(n3, n5) = 0
% 61.01/21.85 |
% 61.01/21.85 +-Applying beta-rule and splitting (1856), into two cases.
% 61.01/21.85 |-Branch one:
% 61.01/21.85 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (316) follows:
% 61.01/21.85 | (317) ~ (leq(n3, n5) = 0)
% 61.01/21.85 |
% 61.01/21.85 | Using (134) and (317) yields:
% 61.01/21.85 | (276) $false
% 61.01/21.85 |
% 61.01/21.85 |-The branch is then unsatisfiable
% 61.01/21.85 |-Branch two:
% 61.01/21.85 | (319) leq(n3, all_0_9_9) = 0
% 61.01/21.85 | (2358) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2358) with all_1703_0_621, all_1703_1_622, all_1703_2_623, all_1703_3_624 yields:
% 61.01/21.85 | (2359) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1703_0_621 & a_select3(q_ds1_filter, n3, all_0_7_7) = all_1703_1_622 & leq(n0, all_0_7_7) = all_1703_2_623 & leq(n0, n3) = all_1703_3_624 & ( ~ (all_1703_2_623 = 0) | ~ (all_1703_3_624 = 0) | all_1703_0_621 = all_1703_1_622)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2359) yields:
% 61.01/21.85 | (2360) leq(n0, n3) = all_1703_3_624
% 61.01/21.85 | (2361) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1703_0_621
% 61.01/21.85 | (2362) leq(n0, all_0_7_7) = all_1703_2_623
% 61.01/21.85 | (2363) ~ (all_1703_2_623 = 0) | ~ (all_1703_3_624 = 0) | all_1703_0_621 = all_1703_1_622
% 61.01/21.85 | (2364) a_select3(q_ds1_filter, n3, all_0_7_7) = all_1703_1_622
% 61.01/21.85 |
% 61.01/21.85 +-Applying beta-rule and splitting (1862), into two cases.
% 61.01/21.85 |-Branch one:
% 61.01/21.85 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (310) follows:
% 61.01/21.85 | (311) ~ (leq(n2, n5) = 0)
% 61.01/21.85 |
% 61.01/21.85 | Using (135) and (311) yields:
% 61.01/21.85 | (276) $false
% 61.01/21.85 |
% 61.01/21.85 |-The branch is then unsatisfiable
% 61.01/21.85 |-Branch two:
% 61.01/21.85 | (313) leq(n2, all_0_9_9) = 0
% 61.01/21.85 | (2369) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2369) with all_1708_0_625, all_1708_1_626, all_1708_2_627, all_1708_3_628 yields:
% 61.01/21.85 | (2370) a_select3(pminus_ds1_filter, all_0_7_7, n2) = all_1708_0_625 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = all_1708_1_626 & leq(n0, all_0_7_7) = all_1708_2_627 & leq(n0, n2) = all_1708_3_628 & ( ~ (all_1708_2_627 = 0) | ~ (all_1708_3_628 = 0) | all_1708_0_625 = all_1708_1_626)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2370) yields:
% 61.01/21.85 | (2371) ~ (all_1708_2_627 = 0) | ~ (all_1708_3_628 = 0) | all_1708_0_625 = all_1708_1_626
% 61.01/21.85 | (2372) a_select3(pminus_ds1_filter, all_0_7_7, n2) = all_1708_0_625
% 61.01/21.85 | (2373) leq(n0, all_0_7_7) = all_1708_2_627
% 61.01/21.85 | (2374) leq(n0, n2) = all_1708_3_628
% 61.01/21.85 | (2375) a_select3(pminus_ds1_filter, n2, all_0_7_7) = all_1708_1_626
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (313) follows:
% 61.01/21.85 | (135) leq(n2, n5) = 0
% 61.01/21.85 |
% 61.01/21.85 +-Applying beta-rule and splitting (1898), into two cases.
% 61.01/21.85 |-Branch one:
% 61.01/21.85 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (334) follows:
% 61.01/21.85 | (335) ~ (leq(n1, n5) = 0)
% 61.01/21.85 |
% 61.01/21.85 | Using (136) and (335) yields:
% 61.01/21.85 | (276) $false
% 61.01/21.85 |
% 61.01/21.85 |-The branch is then unsatisfiable
% 61.01/21.85 |-Branch two:
% 61.01/21.85 | (337) leq(n1, all_0_9_9) = 0
% 61.01/21.85 | (2381) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2381) with all_1714_0_629, all_1714_1_630, all_1714_2_631, all_1714_3_632 yields:
% 61.01/21.85 | (2382) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1714_1_630 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1714_0_629 & leq(n0, all_0_6_6) = all_1714_3_632 & leq(n0, n1) = all_1714_2_631 & ( ~ (all_1714_2_631 = 0) | ~ (all_1714_3_632 = 0) | all_1714_0_629 = all_1714_1_630)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2382) yields:
% 61.01/21.85 | (2383) ~ (all_1714_2_631 = 0) | ~ (all_1714_3_632 = 0) | all_1714_0_629 = all_1714_1_630
% 61.01/21.85 | (2384) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1714_1_630
% 61.01/21.85 | (2385) a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1714_0_629
% 61.01/21.85 | (2386) leq(n0, all_0_6_6) = all_1714_3_632
% 61.01/21.85 | (2387) leq(n0, n1) = all_1714_2_631
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (337) follows:
% 61.01/21.85 | (136) leq(n1, n5) = 0
% 61.01/21.85 |
% 61.01/21.85 +-Applying beta-rule and splitting (1904), into two cases.
% 61.01/21.85 |-Branch one:
% 61.01/21.85 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (334) follows:
% 61.01/21.85 | (335) ~ (leq(n1, n5) = 0)
% 61.01/21.85 |
% 61.01/21.85 | Using (136) and (335) yields:
% 61.01/21.85 | (276) $false
% 61.01/21.85 |
% 61.01/21.85 |-The branch is then unsatisfiable
% 61.01/21.85 |-Branch two:
% 61.01/21.85 | (337) leq(n1, all_0_9_9) = 0
% 61.01/21.85 | (2393) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2393) with all_1719_0_633, all_1719_1_634, all_1719_2_635, all_1719_3_636 yields:
% 61.01/21.85 | (2394) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1719_0_633 & a_select3(q_ds1_filter, n1, all_0_6_6) = all_1719_1_634 & leq(n0, all_0_6_6) = all_1719_2_635 & leq(n0, n1) = all_1719_3_636 & ( ~ (all_1719_2_635 = 0) | ~ (all_1719_3_636 = 0) | all_1719_0_633 = all_1719_1_634)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2394) yields:
% 61.01/21.85 | (2395) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1719_0_633
% 61.01/21.85 | (2396) a_select3(q_ds1_filter, n1, all_0_6_6) = all_1719_1_634
% 61.01/21.85 | (2397) ~ (all_1719_2_635 = 0) | ~ (all_1719_3_636 = 0) | all_1719_0_633 = all_1719_1_634
% 61.01/21.85 | (2398) leq(n0, n1) = all_1719_3_636
% 61.01/21.85 | (2399) leq(n0, all_0_6_6) = all_1719_2_635
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (337) follows:
% 61.01/21.85 | (136) leq(n1, n5) = 0
% 61.01/21.85 |
% 61.01/21.85 +-Applying beta-rule and splitting (1916), into two cases.
% 61.01/21.85 |-Branch one:
% 61.01/21.85 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.01/21.85 |
% 61.01/21.85 | From (143) and (310) follows:
% 61.01/21.85 | (311) ~ (leq(n2, n5) = 0)
% 61.01/21.85 |
% 61.01/21.85 | Using (135) and (311) yields:
% 61.01/21.85 | (276) $false
% 61.01/21.85 |
% 61.01/21.85 |-The branch is then unsatisfiable
% 61.01/21.85 |-Branch two:
% 61.01/21.85 | (313) leq(n2, all_0_9_9) = 0
% 61.01/21.85 | (2405) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.85 |
% 61.01/21.85 | Instantiating (2405) with all_1724_0_637, all_1724_1_638, all_1724_2_639, all_1724_3_640 yields:
% 61.01/21.85 | (2406) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1724_0_637 & a_select3(q_ds1_filter, n2, all_0_6_6) = all_1724_1_638 & leq(n0, all_0_6_6) = all_1724_2_639 & leq(n0, n2) = all_1724_3_640 & ( ~ (all_1724_2_639 = 0) | ~ (all_1724_3_640 = 0) | all_1724_0_637 = all_1724_1_638)
% 61.01/21.85 |
% 61.01/21.85 | Applying alpha-rule on (2406) yields:
% 61.01/21.86 | (2407) ~ (all_1724_2_639 = 0) | ~ (all_1724_3_640 = 0) | all_1724_0_637 = all_1724_1_638
% 61.01/21.86 | (2408) a_select3(q_ds1_filter, n2, all_0_6_6) = all_1724_1_638
% 61.01/21.86 | (2409) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1724_0_637
% 61.01/21.86 | (2410) leq(n0, n2) = all_1724_3_640
% 61.01/21.86 | (2411) leq(n0, all_0_6_6) = all_1724_2_639
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (313) follows:
% 61.01/21.86 | (135) leq(n2, n5) = 0
% 61.01/21.86 |
% 61.01/21.86 +-Applying beta-rule and splitting (1922), into two cases.
% 61.01/21.86 |-Branch one:
% 61.01/21.86 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (310) follows:
% 61.01/21.86 | (311) ~ (leq(n2, n5) = 0)
% 61.01/21.86 |
% 61.01/21.86 | Using (135) and (311) yields:
% 61.01/21.86 | (276) $false
% 61.01/21.86 |
% 61.01/21.86 |-The branch is then unsatisfiable
% 61.01/21.86 |-Branch two:
% 61.01/21.86 | (313) leq(n2, all_0_9_9) = 0
% 61.01/21.86 | (2417) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.86 |
% 61.01/21.86 | Instantiating (2417) with all_1729_0_641, all_1729_1_642, all_1729_2_643, all_1729_3_644 yields:
% 61.01/21.86 | (2418) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1729_1_642 & a_select3(q_ds1_filter, n2, all_0_6_6) = all_1729_0_641 & leq(n0, all_0_6_6) = all_1729_3_644 & leq(n0, n2) = all_1729_2_643 & ( ~ (all_1729_2_643 = 0) | ~ (all_1729_3_644 = 0) | all_1729_0_641 = all_1729_1_642)
% 61.01/21.86 |
% 61.01/21.86 | Applying alpha-rule on (2418) yields:
% 61.01/21.86 | (2419) ~ (all_1729_2_643 = 0) | ~ (all_1729_3_644 = 0) | all_1729_0_641 = all_1729_1_642
% 61.01/21.86 | (2420) leq(n0, all_0_6_6) = all_1729_3_644
% 61.01/21.86 | (2421) a_select3(q_ds1_filter, n2, all_0_6_6) = all_1729_0_641
% 61.01/21.86 | (2422) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1729_1_642
% 61.01/21.86 | (2423) leq(n0, n2) = all_1729_2_643
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (313) follows:
% 61.01/21.86 | (135) leq(n2, n5) = 0
% 61.01/21.86 |
% 61.01/21.86 +-Applying beta-rule and splitting (1928), into two cases.
% 61.01/21.86 |-Branch one:
% 61.01/21.86 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (334) follows:
% 61.01/21.86 | (335) ~ (leq(n1, n5) = 0)
% 61.01/21.86 |
% 61.01/21.86 | Using (136) and (335) yields:
% 61.01/21.86 | (276) $false
% 61.01/21.86 |
% 61.01/21.86 |-The branch is then unsatisfiable
% 61.01/21.86 |-Branch two:
% 61.01/21.86 | (337) leq(n1, all_0_9_9) = 0
% 61.01/21.86 | (2429) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.86 |
% 61.01/21.86 | Instantiating (2429) with all_1734_0_645, all_1734_1_646, all_1734_2_647, all_1734_3_648 yields:
% 61.01/21.86 | (2430) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1734_0_645 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1734_1_646 & leq(n0, all_0_6_6) = all_1734_2_647 & leq(n0, n1) = all_1734_3_648 & ( ~ (all_1734_2_647 = 0) | ~ (all_1734_3_648 = 0) | all_1734_0_645 = all_1734_1_646)
% 61.01/21.86 |
% 61.01/21.86 | Applying alpha-rule on (2430) yields:
% 61.01/21.86 | (2431) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1734_0_645
% 61.01/21.86 | (2432) leq(n0, n1) = all_1734_3_648
% 61.01/21.86 | (2433) a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1734_1_646
% 61.01/21.86 | (2434) leq(n0, all_0_6_6) = all_1734_2_647
% 61.01/21.86 | (2435) ~ (all_1734_2_647 = 0) | ~ (all_1734_3_648 = 0) | all_1734_0_645 = all_1734_1_646
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (337) follows:
% 61.01/21.86 | (136) leq(n1, n5) = 0
% 61.01/21.86 |
% 61.01/21.86 +-Applying beta-rule and splitting (1934), into two cases.
% 61.01/21.86 |-Branch one:
% 61.01/21.86 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (334) follows:
% 61.01/21.86 | (335) ~ (leq(n1, n5) = 0)
% 61.01/21.86 |
% 61.01/21.86 | Using (136) and (335) yields:
% 61.01/21.86 | (276) $false
% 61.01/21.86 |
% 61.01/21.86 |-The branch is then unsatisfiable
% 61.01/21.86 |-Branch two:
% 61.01/21.86 | (337) leq(n1, all_0_9_9) = 0
% 61.01/21.86 | (2441) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.86 |
% 61.01/21.86 | Instantiating (2441) with all_1739_0_649, all_1739_1_650, all_1739_2_651, all_1739_3_652 yields:
% 61.01/21.86 | (2442) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1739_1_650 & a_select3(q_ds1_filter, n1, all_0_6_6) = all_1739_0_649 & leq(n0, all_0_6_6) = all_1739_3_652 & leq(n0, n1) = all_1739_2_651 & ( ~ (all_1739_2_651 = 0) | ~ (all_1739_3_652 = 0) | all_1739_0_649 = all_1739_1_650)
% 61.01/21.86 |
% 61.01/21.86 | Applying alpha-rule on (2442) yields:
% 61.01/21.86 | (2443) leq(n0, n1) = all_1739_2_651
% 61.01/21.86 | (2444) leq(n0, all_0_6_6) = all_1739_3_652
% 61.01/21.86 | (2445) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1739_1_650
% 61.01/21.86 | (2446) a_select3(q_ds1_filter, n1, all_0_6_6) = all_1739_0_649
% 61.01/21.86 | (2447) ~ (all_1739_2_651 = 0) | ~ (all_1739_3_652 = 0) | all_1739_0_649 = all_1739_1_650
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (337) follows:
% 61.01/21.86 | (136) leq(n1, n5) = 0
% 61.01/21.86 |
% 61.01/21.86 +-Applying beta-rule and splitting (1939), into two cases.
% 61.01/21.86 |-Branch one:
% 61.01/21.86 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (274) follows:
% 61.01/21.86 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.86 |
% 61.01/21.86 | Using (132) and (275) yields:
% 61.01/21.86 | (276) $false
% 61.01/21.86 |
% 61.01/21.86 |-The branch is then unsatisfiable
% 61.01/21.86 |-Branch two:
% 61.01/21.86 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.86 | (2453) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.86 |
% 61.01/21.86 | Instantiating (2453) with all_1744_0_653, all_1744_1_654, all_1744_2_655, all_1744_3_656 yields:
% 61.01/21.86 | (2454) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1744_0_653 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1744_1_654 & leq(n0, all_0_7_7) = all_1744_2_655 & leq(n0, n5) = all_1744_3_656 & ( ~ (all_1744_2_655 = 0) | ~ (all_1744_3_656 = 0) | all_1744_0_653 = all_1744_1_654)
% 61.01/21.86 |
% 61.01/21.86 | Applying alpha-rule on (2454) yields:
% 61.01/21.86 | (2455) a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1744_1_654
% 61.01/21.86 | (2456) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1744_0_653
% 61.01/21.86 | (2457) leq(n0, all_0_7_7) = all_1744_2_655
% 61.01/21.86 | (2458) leq(n0, n5) = all_1744_3_656
% 61.01/21.86 | (2459) ~ (all_1744_2_655 = 0) | ~ (all_1744_3_656 = 0) | all_1744_0_653 = all_1744_1_654
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (277) follows:
% 61.01/21.86 | (132) leq(n5, n5) = 0
% 61.01/21.86 |
% 61.01/21.86 +-Applying beta-rule and splitting (1945), into two cases.
% 61.01/21.86 |-Branch one:
% 61.01/21.86 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.86 |
% 61.01/21.86 | From (143) and (274) follows:
% 61.01/21.86 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.86 |
% 61.01/21.86 | Using (132) and (275) yields:
% 61.01/21.86 | (276) $false
% 61.01/21.86 |
% 61.01/21.86 |-The branch is then unsatisfiable
% 61.01/21.86 |-Branch two:
% 61.01/21.86 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.86 | (2465) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.86 |
% 61.01/21.86 | Instantiating (2465) with all_1749_0_657, all_1749_1_658, all_1749_2_659, all_1749_3_660 yields:
% 61.01/21.86 | (2466) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1749_1_658 & a_select3(q_ds1_filter, n5, all_0_7_7) = all_1749_0_657 & leq(n0, all_0_7_7) = all_1749_3_660 & leq(n0, n5) = all_1749_2_659 & ( ~ (all_1749_2_659 = 0) | ~ (all_1749_3_660 = 0) | all_1749_0_657 = all_1749_1_658)
% 61.01/21.86 |
% 61.01/21.86 | Applying alpha-rule on (2466) yields:
% 61.01/21.86 | (2467) leq(n0, n5) = all_1749_2_659
% 61.01/21.86 | (2468) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1749_1_658
% 61.01/21.87 | (2469) a_select3(q_ds1_filter, n5, all_0_7_7) = all_1749_0_657
% 61.01/21.87 | (2470) leq(n0, all_0_7_7) = all_1749_3_660
% 61.01/21.87 | (2471) ~ (all_1749_2_659 = 0) | ~ (all_1749_3_660 = 0) | all_1749_0_657 = all_1749_1_658
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (277) follows:
% 61.01/21.87 | (132) leq(n5, n5) = 0
% 61.01/21.87 |
% 61.01/21.87 +-Applying beta-rule and splitting (1951), into two cases.
% 61.01/21.87 |-Branch one:
% 61.01/21.87 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (274) follows:
% 61.01/21.87 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.87 |
% 61.01/21.87 | Using (132) and (275) yields:
% 61.01/21.87 | (276) $false
% 61.01/21.87 |
% 61.01/21.87 |-The branch is then unsatisfiable
% 61.01/21.87 |-Branch two:
% 61.01/21.87 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.87 | (2477) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.87 |
% 61.01/21.87 | Instantiating (2477) with all_1754_0_661, all_1754_1_662, all_1754_2_663, all_1754_3_664 yields:
% 61.01/21.87 | (2478) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1754_1_662 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1754_0_661 & leq(n0, all_0_7_7) = all_1754_3_664 & leq(n0, n5) = all_1754_2_663 & ( ~ (all_1754_2_663 = 0) | ~ (all_1754_3_664 = 0) | all_1754_0_661 = all_1754_1_662)
% 61.01/21.87 |
% 61.01/21.87 | Applying alpha-rule on (2478) yields:
% 61.01/21.87 | (2479) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1754_1_662
% 61.01/21.87 | (2480) leq(n0, n5) = all_1754_2_663
% 61.01/21.87 | (2481) leq(n0, all_0_7_7) = all_1754_3_664
% 61.01/21.87 | (2482) a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1754_0_661
% 61.01/21.87 | (2483) ~ (all_1754_2_663 = 0) | ~ (all_1754_3_664 = 0) | all_1754_0_661 = all_1754_1_662
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (277) follows:
% 61.01/21.87 | (132) leq(n5, n5) = 0
% 61.01/21.87 |
% 61.01/21.87 +-Applying beta-rule and splitting (1957), into two cases.
% 61.01/21.87 |-Branch one:
% 61.01/21.87 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (274) follows:
% 61.01/21.87 | (275) ~ (leq(n5, n5) = 0)
% 61.01/21.87 |
% 61.01/21.87 | Using (132) and (275) yields:
% 61.01/21.87 | (276) $false
% 61.01/21.87 |
% 61.01/21.87 |-The branch is then unsatisfiable
% 61.01/21.87 |-Branch two:
% 61.01/21.87 | (277) leq(n5, all_0_9_9) = 0
% 61.01/21.87 | (2489) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.87 |
% 61.01/21.87 | Instantiating (2489) with all_1759_0_665, all_1759_1_666, all_1759_2_667, all_1759_3_668 yields:
% 61.01/21.87 | (2490) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1759_0_665 & a_select3(q_ds1_filter, n5, all_0_7_7) = all_1759_1_666 & leq(n0, all_0_7_7) = all_1759_2_667 & leq(n0, n5) = all_1759_3_668 & ( ~ (all_1759_2_667 = 0) | ~ (all_1759_3_668 = 0) | all_1759_0_665 = all_1759_1_666)
% 61.01/21.87 |
% 61.01/21.87 | Applying alpha-rule on (2490) yields:
% 61.01/21.87 | (2491) ~ (all_1759_2_667 = 0) | ~ (all_1759_3_668 = 0) | all_1759_0_665 = all_1759_1_666
% 61.01/21.87 | (2492) leq(n0, all_0_7_7) = all_1759_2_667
% 61.01/21.87 | (2493) leq(n0, n5) = all_1759_3_668
% 61.01/21.87 | (2494) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1759_0_665
% 61.01/21.87 | (2495) a_select3(q_ds1_filter, n5, all_0_7_7) = all_1759_1_666
% 61.01/21.87 |
% 61.01/21.87 +-Applying beta-rule and splitting (1969), into two cases.
% 61.01/21.87 |-Branch one:
% 61.01/21.87 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (346) follows:
% 61.01/21.87 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.01/21.87 |
% 61.01/21.87 | Using (137) and (347) yields:
% 61.01/21.87 | (276) $false
% 61.01/21.87 |
% 61.01/21.87 |-The branch is then unsatisfiable
% 61.01/21.87 |-Branch two:
% 61.01/21.87 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.01/21.87 | (2500) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.01/21.87 |
% 61.01/21.87 | Instantiating (2500) with all_1764_0_669, all_1764_1_670, all_1764_2_671, all_1764_3_672 yields:
% 61.01/21.87 | (2501) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1764_1_670 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1764_0_669 & leq(n0, all_0_7_7) = all_1764_3_672 & leq(n0, tptp_minus_1) = all_1764_2_671 & ( ~ (all_1764_2_671 = 0) | ~ (all_1764_3_672 = 0) | all_1764_0_669 = all_1764_1_670)
% 61.01/21.87 |
% 61.01/21.87 | Applying alpha-rule on (2501) yields:
% 61.01/21.87 | (2502) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1764_1_670
% 61.01/21.87 | (2503) leq(n0, tptp_minus_1) = all_1764_2_671
% 61.01/21.87 | (2504) ~ (all_1764_2_671 = 0) | ~ (all_1764_3_672 = 0) | all_1764_0_669 = all_1764_1_670
% 61.01/21.87 | (2505) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1764_0_669
% 61.01/21.87 | (2506) leq(n0, all_0_7_7) = all_1764_3_672
% 61.01/21.87 |
% 61.01/21.87 | From (143) and (349) follows:
% 61.01/21.87 | (137) leq(tptp_minus_1, n5) = 0
% 61.01/21.87 |
% 61.38/21.87 +-Applying beta-rule and splitting (1975), into two cases.
% 61.38/21.87 |-Branch one:
% 61.38/21.87 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.38/21.87 |
% 61.38/21.87 | From (143) and (346) follows:
% 61.38/21.87 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.38/21.87 |
% 61.38/21.87 | Using (137) and (347) yields:
% 61.38/21.87 | (276) $false
% 61.38/21.87 |
% 61.38/21.87 |-The branch is then unsatisfiable
% 61.38/21.87 |-Branch two:
% 61.38/21.87 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.38/21.87 | (2512) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.87 |
% 61.38/21.87 | Instantiating (2512) with all_1769_0_673, all_1769_1_674, all_1769_2_675, all_1769_3_676 yields:
% 61.38/21.87 | (2513) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1769_0_673 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1769_1_674 & leq(n0, all_0_7_7) = all_1769_2_675 & leq(n0, tptp_minus_1) = all_1769_3_676 & ( ~ (all_1769_2_675 = 0) | ~ (all_1769_3_676 = 0) | all_1769_0_673 = all_1769_1_674)
% 61.38/21.87 |
% 61.38/21.87 | Applying alpha-rule on (2513) yields:
% 61.38/21.87 | (2514) ~ (all_1769_2_675 = 0) | ~ (all_1769_3_676 = 0) | all_1769_0_673 = all_1769_1_674
% 61.38/21.87 | (2515) leq(n0, all_0_7_7) = all_1769_2_675
% 61.38/21.87 | (2516) a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1769_1_674
% 61.38/21.87 | (2517) leq(n0, tptp_minus_1) = all_1769_3_676
% 61.38/21.87 | (2518) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1769_0_673
% 61.38/21.87 |
% 61.38/21.87 | From (143) and (349) follows:
% 61.38/21.87 | (137) leq(tptp_minus_1, n5) = 0
% 61.38/21.87 |
% 61.38/21.87 +-Applying beta-rule and splitting (1981), into two cases.
% 61.38/21.87 |-Branch one:
% 61.38/21.87 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.38/21.87 |
% 61.38/21.87 | From (143) and (346) follows:
% 61.38/21.87 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.38/21.87 |
% 61.38/21.87 | Using (137) and (347) yields:
% 61.38/21.87 | (276) $false
% 61.38/21.87 |
% 61.38/21.87 |-The branch is then unsatisfiable
% 61.38/21.87 |-Branch two:
% 61.38/21.87 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.38/21.87 | (2524) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.87 |
% 61.38/21.87 | Instantiating (2524) with all_1774_0_677, all_1774_1_678, all_1774_2_679, all_1774_3_680 yields:
% 61.38/21.87 | (2525) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1774_1_678 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1774_0_677 & leq(n0, all_0_7_7) = all_1774_3_680 & leq(n0, tptp_minus_1) = all_1774_2_679 & ( ~ (all_1774_2_679 = 0) | ~ (all_1774_3_680 = 0) | all_1774_0_677 = all_1774_1_678)
% 61.38/21.87 |
% 61.38/21.87 | Applying alpha-rule on (2525) yields:
% 61.38/21.87 | (2526) leq(n0, all_0_7_7) = all_1774_3_680
% 61.38/21.87 | (2527) leq(n0, tptp_minus_1) = all_1774_2_679
% 61.38/21.87 | (2528) a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1774_0_677
% 61.38/21.87 | (2529) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1774_1_678
% 61.38/21.87 | (2530) ~ (all_1774_2_679 = 0) | ~ (all_1774_3_680 = 0) | all_1774_0_677 = all_1774_1_678
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (349) follows:
% 61.38/21.88 | (137) leq(tptp_minus_1, n5) = 0
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (1987), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (358) follows:
% 61.38/21.88 | (359) ~ (leq(n0, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (138) and (359) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (361) leq(n0, all_0_9_9) = 0
% 61.38/21.88 | (2536) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.88 | Instantiating (2536) with all_1779_0_681, all_1779_1_682, all_1779_2_683, all_1779_3_684 yields:
% 61.38/21.88 | (2537) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1779_0_681 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1779_1_682 & leq(n0, all_0_7_7) = all_1779_2_683 & leq(n0, n0) = all_1779_3_684 & ( ~ (all_1779_2_683 = 0) | ~ (all_1779_3_684 = 0) | all_1779_0_681 = all_1779_1_682)
% 61.38/21.88 |
% 61.38/21.88 | Applying alpha-rule on (2537) yields:
% 61.38/21.88 | (2538) leq(n0, n0) = all_1779_3_684
% 61.38/21.88 | (2539) leq(n0, all_0_7_7) = all_1779_2_683
% 61.38/21.88 | (2540) ~ (all_1779_2_683 = 0) | ~ (all_1779_3_684 = 0) | all_1779_0_681 = all_1779_1_682
% 61.38/21.88 | (2541) a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1779_1_682
% 61.38/21.88 | (2542) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1779_0_681
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (361) follows:
% 61.38/21.88 | (138) leq(n0, n5) = 0
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (1993), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (358) follows:
% 61.38/21.88 | (359) ~ (leq(n0, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (138) and (359) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (361) leq(n0, all_0_9_9) = 0
% 61.38/21.88 | (2548) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.88 | Instantiating (2548) with all_1784_0_685, all_1784_1_686, all_1784_2_687, all_1784_3_688 yields:
% 61.38/21.88 | (2549) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1784_1_686 & a_select3(q_ds1_filter, n0, all_0_7_7) = all_1784_0_685 & leq(n0, all_0_7_7) = all_1784_3_688 & leq(n0, n0) = all_1784_2_687 & ( ~ (all_1784_2_687 = 0) | ~ (all_1784_3_688 = 0) | all_1784_0_685 = all_1784_1_686)
% 61.38/21.88 |
% 61.38/21.88 | Applying alpha-rule on (2549) yields:
% 61.38/21.88 | (2550) a_select3(q_ds1_filter, n0, all_0_7_7) = all_1784_0_685
% 61.38/21.88 | (2551) ~ (all_1784_2_687 = 0) | ~ (all_1784_3_688 = 0) | all_1784_0_685 = all_1784_1_686
% 61.38/21.88 | (2552) leq(n0, all_0_7_7) = all_1784_3_688
% 61.38/21.88 | (2553) leq(n0, n0) = all_1784_2_687
% 61.38/21.88 | (2554) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1784_1_686
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (361) follows:
% 61.38/21.88 | (138) leq(n0, n5) = 0
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (2005), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (310) follows:
% 61.38/21.88 | (311) ~ (leq(n2, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (135) and (311) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (313) leq(n2, all_0_9_9) = 0
% 61.38/21.88 | (2560) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.88 | Instantiating (2560) with all_1789_0_689, all_1789_1_690, all_1789_2_691, all_1789_3_692 yields:
% 61.38/21.88 | (2561) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1789_0_689 & a_select3(q_ds1_filter, n2, all_0_7_7) = all_1789_1_690 & leq(n0, all_0_7_7) = all_1789_2_691 & leq(n0, n2) = all_1789_3_692 & ( ~ (all_1789_2_691 = 0) | ~ (all_1789_3_692 = 0) | all_1789_0_689 = all_1789_1_690)
% 61.38/21.88 |
% 61.38/21.88 | Applying alpha-rule on (2561) yields:
% 61.38/21.88 | (2562) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1789_0_689
% 61.38/21.88 | (2563) leq(n0, all_0_7_7) = all_1789_2_691
% 61.38/21.88 | (2564) a_select3(q_ds1_filter, n2, all_0_7_7) = all_1789_1_690
% 61.38/21.88 | (2565) ~ (all_1789_2_691 = 0) | ~ (all_1789_3_692 = 0) | all_1789_0_689 = all_1789_1_690
% 61.38/21.88 | (2566) leq(n0, n2) = all_1789_3_692
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (313) follows:
% 61.38/21.88 | (135) leq(n2, n5) = 0
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (2011), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (310) follows:
% 61.38/21.88 | (311) ~ (leq(n2, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (135) and (311) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (313) leq(n2, all_0_9_9) = 0
% 61.38/21.88 | (2572) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.88 | Instantiating (2572) with all_1794_0_693, all_1794_1_694, all_1794_2_695, all_1794_3_696 yields:
% 61.38/21.88 | (2573) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1794_1_694 & a_select3(q_ds1_filter, n2, all_0_7_7) = all_1794_0_693 & leq(n0, all_0_7_7) = all_1794_3_696 & leq(n0, n2) = all_1794_2_695 & ( ~ (all_1794_2_695 = 0) | ~ (all_1794_3_696 = 0) | all_1794_0_693 = all_1794_1_694)
% 61.38/21.88 |
% 61.38/21.88 | Applying alpha-rule on (2573) yields:
% 61.38/21.88 | (2574) ~ (all_1794_2_695 = 0) | ~ (all_1794_3_696 = 0) | all_1794_0_693 = all_1794_1_694
% 61.38/21.88 | (2575) leq(n0, all_0_7_7) = all_1794_3_696
% 61.38/21.88 | (2576) a_select3(q_ds1_filter, n2, all_0_7_7) = all_1794_0_693
% 61.38/21.88 | (2577) leq(n0, n2) = all_1794_2_695
% 61.38/21.88 | (2578) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1794_1_694
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (2017), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (334) follows:
% 61.38/21.88 | (335) ~ (leq(n1, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (136) and (335) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (337) leq(n1, all_0_9_9) = 0
% 61.38/21.88 | (2583) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.88 | Instantiating (2583) with all_1799_0_697, all_1799_1_698, all_1799_2_699, all_1799_3_700 yields:
% 61.38/21.88 | (2584) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1799_0_697 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1799_1_698 & leq(n0, all_0_7_7) = all_1799_2_699 & leq(n0, n1) = all_1799_3_700 & ( ~ (all_1799_2_699 = 0) | ~ (all_1799_3_700 = 0) | all_1799_0_697 = all_1799_1_698)
% 61.38/21.88 |
% 61.38/21.88 | Applying alpha-rule on (2584) yields:
% 61.38/21.88 | (2585) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1799_0_697
% 61.38/21.88 | (2586) ~ (all_1799_2_699 = 0) | ~ (all_1799_3_700 = 0) | all_1799_0_697 = all_1799_1_698
% 61.38/21.88 | (2587) leq(n0, all_0_7_7) = all_1799_2_699
% 61.38/21.88 | (2588) a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1799_1_698
% 61.38/21.88 | (2589) leq(n0, n1) = all_1799_3_700
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (337) follows:
% 61.38/21.88 | (136) leq(n1, n5) = 0
% 61.38/21.88 |
% 61.38/21.88 +-Applying beta-rule and splitting (2023), into two cases.
% 61.38/21.88 |-Branch one:
% 61.38/21.88 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.38/21.88 |
% 61.38/21.88 | From (143) and (334) follows:
% 61.38/21.88 | (335) ~ (leq(n1, n5) = 0)
% 61.38/21.88 |
% 61.38/21.88 | Using (136) and (335) yields:
% 61.38/21.88 | (276) $false
% 61.38/21.88 |
% 61.38/21.88 |-The branch is then unsatisfiable
% 61.38/21.88 |-Branch two:
% 61.38/21.88 | (337) leq(n1, all_0_9_9) = 0
% 61.38/21.88 | (2595) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.38/21.88 |
% 61.38/21.89 | Instantiating (2595) with all_1804_0_701, all_1804_1_702, all_1804_2_703, all_1804_3_704 yields:
% 61.38/21.89 | (2596) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1804_1_702 & a_select3(q_ds1_filter, n1, all_0_7_7) = all_1804_0_701 & leq(n0, all_0_7_7) = all_1804_3_704 & leq(n0, n1) = all_1804_2_703 & ( ~ (all_1804_2_703 = 0) | ~ (all_1804_3_704 = 0) | all_1804_0_701 = all_1804_1_702)
% 61.38/21.89 |
% 61.38/21.89 | Applying alpha-rule on (2596) yields:
% 61.38/21.89 | (2597) ~ (all_1804_2_703 = 0) | ~ (all_1804_3_704 = 0) | all_1804_0_701 = all_1804_1_702
% 61.38/21.89 | (2598) leq(n0, n1) = all_1804_2_703
% 61.38/21.89 | (2599) a_select3(q_ds1_filter, n1, all_0_7_7) = all_1804_0_701
% 61.38/21.89 | (2600) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1804_1_702
% 61.38/21.89 | (2601) leq(n0, all_0_7_7) = all_1804_3_704
% 61.38/21.89 |
% 61.43/21.89 | From (143) and (337) follows:
% 61.43/21.89 | (136) leq(n1, n5) = 0
% 61.43/21.89 |
% 61.43/21.89 +-Applying beta-rule and splitting (2029), into two cases.
% 61.43/21.89 |-Branch one:
% 61.43/21.89 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (334) follows:
% 61.43/21.89 | (335) ~ (leq(n1, n5) = 0)
% 61.43/21.89 |
% 61.43/21.89 | Using (136) and (335) yields:
% 61.43/21.89 | (276) $false
% 61.43/21.89 |
% 61.43/21.89 |-The branch is then unsatisfiable
% 61.43/21.89 |-Branch two:
% 61.43/21.89 | (337) leq(n1, all_0_9_9) = 0
% 61.43/21.89 | (2607) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.43/21.89 |
% 61.43/21.89 | Instantiating (2607) with all_1809_0_705, all_1809_1_706, all_1809_2_707, all_1809_3_708 yields:
% 61.43/21.89 | (2608) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1809_1_706 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1809_0_705 & leq(n0, all_0_7_7) = all_1809_3_708 & leq(n0, n1) = all_1809_2_707 & ( ~ (all_1809_2_707 = 0) | ~ (all_1809_3_708 = 0) | all_1809_0_705 = all_1809_1_706)
% 61.43/21.89 |
% 61.43/21.89 | Applying alpha-rule on (2608) yields:
% 61.43/21.89 | (2609) leq(n0, all_0_7_7) = all_1809_3_708
% 61.43/21.89 | (2610) leq(n0, n1) = all_1809_2_707
% 61.43/21.89 | (2611) a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1809_0_705
% 61.43/21.89 | (2612) ~ (all_1809_2_707 = 0) | ~ (all_1809_3_708 = 0) | all_1809_0_705 = all_1809_1_706
% 61.43/21.89 | (2613) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1809_1_706
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (337) follows:
% 61.43/21.89 | (136) leq(n1, n5) = 0
% 61.43/21.89 |
% 61.43/21.89 +-Applying beta-rule and splitting (2035), into two cases.
% 61.43/21.89 |-Branch one:
% 61.43/21.89 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (334) follows:
% 61.43/21.89 | (335) ~ (leq(n1, n5) = 0)
% 61.43/21.89 |
% 61.43/21.89 | Using (136) and (335) yields:
% 61.43/21.89 | (276) $false
% 61.43/21.89 |
% 61.43/21.89 |-The branch is then unsatisfiable
% 61.43/21.89 |-Branch two:
% 61.43/21.89 | (337) leq(n1, all_0_9_9) = 0
% 61.43/21.89 | (2619) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.43/21.89 |
% 61.43/21.89 | Instantiating (2619) with all_1814_0_709, all_1814_1_710, all_1814_2_711, all_1814_3_712 yields:
% 61.43/21.89 | (2620) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1814_0_709 & a_select3(q_ds1_filter, n1, all_0_7_7) = all_1814_1_710 & leq(n0, all_0_7_7) = all_1814_2_711 & leq(n0, n1) = all_1814_3_712 & ( ~ (all_1814_2_711 = 0) | ~ (all_1814_3_712 = 0) | all_1814_0_709 = all_1814_1_710)
% 61.43/21.89 |
% 61.43/21.89 | Applying alpha-rule on (2620) yields:
% 61.43/21.89 | (2621) ~ (all_1814_2_711 = 0) | ~ (all_1814_3_712 = 0) | all_1814_0_709 = all_1814_1_710
% 61.43/21.89 | (2622) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1814_0_709
% 61.43/21.89 | (2623) a_select3(q_ds1_filter, n1, all_0_7_7) = all_1814_1_710
% 61.43/21.89 | (2624) leq(n0, all_0_7_7) = all_1814_2_711
% 61.43/21.89 | (2625) leq(n0, n1) = all_1814_3_712
% 61.43/21.89 |
% 61.43/21.89 +-Applying beta-rule and splitting (2041), into two cases.
% 61.43/21.89 |-Branch one:
% 61.43/21.89 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (346) follows:
% 61.43/21.89 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.43/21.89 |
% 61.43/21.89 | Using (137) and (347) yields:
% 61.43/21.89 | (276) $false
% 61.43/21.89 |
% 61.43/21.89 |-The branch is then unsatisfiable
% 61.43/21.89 |-Branch two:
% 61.43/21.89 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.43/21.89 | (2630) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.43/21.89 |
% 61.43/21.89 | Instantiating (2630) with all_1819_0_713, all_1819_1_714, all_1819_2_715, all_1819_3_716 yields:
% 61.43/21.89 | (2631) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1819_0_713 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1819_1_714 & leq(n0, all_0_7_7) = all_1819_2_715 & leq(n0, tptp_minus_1) = all_1819_3_716 & ( ~ (all_1819_2_715 = 0) | ~ (all_1819_3_716 = 0) | all_1819_0_713 = all_1819_1_714)
% 61.43/21.89 |
% 61.43/21.89 | Applying alpha-rule on (2631) yields:
% 61.43/21.89 | (2632) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1819_1_714
% 61.43/21.89 | (2633) ~ (all_1819_2_715 = 0) | ~ (all_1819_3_716 = 0) | all_1819_0_713 = all_1819_1_714
% 61.43/21.89 | (2634) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1819_0_713
% 61.43/21.89 | (2635) leq(n0, tptp_minus_1) = all_1819_3_716
% 61.43/21.89 | (2636) leq(n0, all_0_7_7) = all_1819_2_715
% 61.43/21.89 |
% 61.43/21.89 +-Applying beta-rule and splitting (2047), into two cases.
% 61.43/21.89 |-Branch one:
% 61.43/21.89 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (358) follows:
% 61.43/21.89 | (359) ~ (leq(n0, n5) = 0)
% 61.43/21.89 |
% 61.43/21.89 | Using (138) and (359) yields:
% 61.43/21.89 | (276) $false
% 61.43/21.89 |
% 61.43/21.89 |-The branch is then unsatisfiable
% 61.43/21.89 |-Branch two:
% 61.43/21.89 | (361) leq(n0, all_0_9_9) = 0
% 61.43/21.89 | (2641) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.43/21.89 |
% 61.43/21.89 | Instantiating (2641) with all_1824_0_717, all_1824_1_718, all_1824_2_719, all_1824_3_720 yields:
% 61.43/21.89 | (2642) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1824_1_718 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1824_0_717 & leq(n0, all_0_7_7) = all_1824_3_720 & leq(n0, n0) = all_1824_2_719 & ( ~ (all_1824_2_719 = 0) | ~ (all_1824_3_720 = 0) | all_1824_0_717 = all_1824_1_718)
% 61.43/21.89 |
% 61.43/21.89 | Applying alpha-rule on (2642) yields:
% 61.43/21.89 | (2643) leq(n0, all_0_7_7) = all_1824_3_720
% 61.43/21.89 | (2644) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1824_1_718
% 61.43/21.89 | (2645) ~ (all_1824_2_719 = 0) | ~ (all_1824_3_720 = 0) | all_1824_0_717 = all_1824_1_718
% 61.43/21.89 | (2646) leq(n0, n0) = all_1824_2_719
% 61.43/21.89 | (2647) a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1824_0_717
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (361) follows:
% 61.43/21.89 | (138) leq(n0, n5) = 0
% 61.43/21.89 |
% 61.43/21.89 +-Applying beta-rule and splitting (2053), into two cases.
% 61.43/21.89 |-Branch one:
% 61.43/21.89 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.43/21.89 |
% 61.43/21.89 | From (143) and (358) follows:
% 61.43/21.89 | (359) ~ (leq(n0, n5) = 0)
% 61.43/21.89 |
% 61.43/21.89 | Using (138) and (359) yields:
% 61.43/21.89 | (276) $false
% 61.43/21.89 |
% 61.43/21.89 |-The branch is then unsatisfiable
% 61.43/21.89 |-Branch two:
% 61.43/21.89 | (361) leq(n0, all_0_9_9) = 0
% 61.43/21.89 | (2653) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.43/21.89 |
% 61.43/21.89 | Instantiating (2653) with all_1829_0_721, all_1829_1_722, all_1829_2_723, all_1829_3_724 yields:
% 61.43/21.89 | (2654) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1829_0_721 & a_select3(q_ds1_filter, n0, all_0_7_7) = all_1829_1_722 & leq(n0, all_0_7_7) = all_1829_2_723 & leq(n0, n0) = all_1829_3_724 & ( ~ (all_1829_2_723 = 0) | ~ (all_1829_3_724 = 0) | all_1829_0_721 = all_1829_1_722)
% 61.43/21.89 |
% 61.43/21.89 | Applying alpha-rule on (2654) yields:
% 61.43/21.89 | (2655) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1829_0_721
% 61.43/21.89 | (2656) a_select3(q_ds1_filter, n0, all_0_7_7) = all_1829_1_722
% 61.43/21.89 | (2657) leq(n0, all_0_7_7) = all_1829_2_723
% 61.43/21.90 | (2658) ~ (all_1829_2_723 = 0) | ~ (all_1829_3_724 = 0) | all_1829_0_721 = all_1829_1_722
% 61.43/21.90 | (2659) leq(n0, n0) = all_1829_3_724
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1729_3_644, all_1734_2_647 and discharging atoms leq(n0, all_0_6_6) = all_1734_2_647, leq(n0, all_0_6_6) = all_1729_3_644, yields:
% 61.43/21.90 | (2660) all_1734_2_647 = all_1729_3_644
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1719_2_635, all_1729_3_644 and discharging atoms leq(n0, all_0_6_6) = all_1729_3_644, leq(n0, all_0_6_6) = all_1719_2_635, yields:
% 61.43/21.90 | (2661) all_1729_3_644 = all_1719_2_635
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1714_3_632, all_1724_2_639 and discharging atoms leq(n0, all_0_6_6) = all_1724_2_639, leq(n0, all_0_6_6) = all_1714_3_632, yields:
% 61.43/21.90 | (2662) all_1724_2_639 = all_1714_3_632
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1653_3_584, all_1663_2_591 and discharging atoms leq(n0, all_0_6_6) = all_1663_2_591, leq(n0, all_0_6_6) = all_1653_3_584, yields:
% 61.43/21.90 | (2663) all_1663_2_591 = all_1653_3_584
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1648_3_580, all_1714_3_632 and discharging atoms leq(n0, all_0_6_6) = all_1714_3_632, leq(n0, all_0_6_6) = all_1648_3_580, yields:
% 61.43/21.90 | (2664) all_1714_3_632 = all_1648_3_580
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1643_2_575, all_1739_3_652 and discharging atoms leq(n0, all_0_6_6) = all_1739_3_652, leq(n0, all_0_6_6) = all_1643_2_575, yields:
% 61.43/21.90 | (2665) all_1739_3_652 = all_1643_2_575
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1643_2_575, all_1668_3_596 and discharging atoms leq(n0, all_0_6_6) = all_1668_3_596, leq(n0, all_0_6_6) = all_1643_2_575, yields:
% 61.43/21.90 | (2666) all_1668_3_596 = all_1643_2_575
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1633_3_568, all_1739_3_652 and discharging atoms leq(n0, all_0_6_6) = all_1739_3_652, leq(n0, all_0_6_6) = all_1633_3_568, yields:
% 61.43/21.90 | (2667) all_1739_3_652 = all_1633_3_568
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1633_3_568, all_1719_2_635 and discharging atoms leq(n0, all_0_6_6) = all_1719_2_635, leq(n0, all_0_6_6) = all_1633_3_568, yields:
% 61.43/21.90 | (2668) all_1719_2_635 = all_1633_3_568
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1633_3_568, all_1658_2_587 and discharging atoms leq(n0, all_0_6_6) = all_1658_2_587, leq(n0, all_0_6_6) = all_1633_3_568, yields:
% 61.43/21.90 | (2669) all_1658_2_587 = all_1633_3_568
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1623_2_559, all_1643_2_575 and discharging atoms leq(n0, all_0_6_6) = all_1643_2_575, leq(n0, all_0_6_6) = all_1623_2_559, yields:
% 61.43/21.90 | (2670) all_1643_2_575 = all_1623_2_559
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1623_2_559, all_1638_2_571 and discharging atoms leq(n0, all_0_6_6) = all_1638_2_571, leq(n0, all_0_6_6) = all_1623_2_559, yields:
% 61.43/21.90 | (2671) all_1638_2_571 = all_1623_2_559
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1618_3_556, all_1724_2_639 and discharging atoms leq(n0, all_0_6_6) = all_1724_2_639, leq(n0, all_0_6_6) = all_1618_3_556, yields:
% 61.43/21.90 | (2672) all_1724_2_639 = all_1618_3_556
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1613_2_551, all_1668_3_596 and discharging atoms leq(n0, all_0_6_6) = all_1668_3_596, leq(n0, all_0_6_6) = all_1613_2_551, yields:
% 61.43/21.90 | (2673) all_1668_3_596 = all_1613_2_551
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1608_3_548, all_1739_3_652 and discharging atoms leq(n0, all_0_6_6) = all_1739_3_652, leq(n0, all_0_6_6) = all_1608_3_548, yields:
% 61.43/21.90 | (2674) all_1739_3_652 = all_1608_3_548
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1603_2_543, all_1734_2_647 and discharging atoms leq(n0, all_0_6_6) = all_1734_2_647, leq(n0, all_0_6_6) = all_1603_2_543, yields:
% 61.43/21.90 | (2675) all_1734_2_647 = all_1603_2_543
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1598_3_540, all_1658_2_587 and discharging atoms leq(n0, all_0_6_6) = all_1658_2_587, leq(n0, all_0_6_6) = all_1598_3_540, yields:
% 61.43/21.90 | (2676) all_1658_2_587 = all_1598_3_540
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1593_2_535, all_1658_2_587 and discharging atoms leq(n0, all_0_6_6) = all_1658_2_587, leq(n0, all_0_6_6) = all_1593_2_535, yields:
% 61.43/21.90 | (2677) all_1658_2_587 = all_1593_2_535
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1593_2_535, all_1653_3_584 and discharging atoms leq(n0, all_0_6_6) = all_1653_3_584, leq(n0, all_0_6_6) = all_1593_2_535, yields:
% 61.43/21.90 | (2678) all_1653_3_584 = all_1593_2_535
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1593_2_535, all_1628_3_564 and discharging atoms leq(n0, all_0_6_6) = all_1628_3_564, leq(n0, all_0_6_6) = all_1593_2_535, yields:
% 61.43/21.90 | (2679) all_1628_3_564 = all_1593_2_535
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1588_2_531, all_1638_2_571 and discharging atoms leq(n0, all_0_6_6) = all_1638_2_571, leq(n0, all_0_6_6) = all_1588_2_531, yields:
% 61.43/21.90 | (2680) all_1638_2_571 = all_1588_2_531
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1583_3_528, 0 and discharging atoms leq(n0, all_0_6_6) = all_1583_3_528, leq(n0, all_0_6_6) = 0, yields:
% 61.43/21.90 | (2681) all_1583_3_528 = 0
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1583_3_528, all_1628_3_564 and discharging atoms leq(n0, all_0_6_6) = all_1628_3_564, leq(n0, all_0_6_6) = all_1583_3_528, yields:
% 61.43/21.90 | (2682) all_1628_3_564 = all_1583_3_528
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1548_3_518, all_1628_3_564 and discharging atoms leq(n0, all_0_6_6) = all_1628_3_564, leq(n0, all_0_6_6) = all_1548_3_518, yields:
% 61.43/21.90 | (2683) all_1628_3_564 = all_1548_3_518
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1379_2_499, all_1714_3_632 and discharging atoms leq(n0, all_0_6_6) = all_1714_3_632, leq(n0, all_0_6_6) = all_1379_2_499, yields:
% 61.43/21.90 | (2684) all_1714_3_632 = all_1379_2_499
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1379_2_499, all_1628_3_564 and discharging atoms leq(n0, all_0_6_6) = all_1628_3_564, leq(n0, all_0_6_6) = all_1379_2_499, yields:
% 61.43/21.90 | (2685) all_1628_3_564 = all_1379_2_499
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1379_3_500, all_1663_2_591 and discharging atoms leq(n0, all_0_6_6) = all_1663_2_591, leq(n0, all_0_6_6) = all_1379_3_500, yields:
% 61.43/21.90 | (2686) all_1663_2_591 = all_1379_3_500
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1374_2_495, all_1648_3_580 and discharging atoms leq(n0, all_0_6_6) = all_1648_3_580, leq(n0, all_0_6_6) = all_1374_2_495, yields:
% 61.43/21.90 | (2687) all_1648_3_580 = all_1374_2_495
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_6_6, all_1374_3_496, all_1379_2_499 and discharging atoms leq(n0, all_0_6_6) = all_1379_2_499, leq(n0, all_0_6_6) = all_1374_3_496, yields:
% 61.43/21.90 | (2688) all_1379_2_499 = all_1374_3_496
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1819_2_715, all_1829_2_723 and discharging atoms leq(n0, all_0_7_7) = all_1829_2_723, leq(n0, all_0_7_7) = all_1819_2_715, yields:
% 61.43/21.90 | (2689) all_1829_2_723 = all_1819_2_715
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1819_2_715, all_1824_3_720 and discharging atoms leq(n0, all_0_7_7) = all_1824_3_720, leq(n0, all_0_7_7) = all_1819_2_715, yields:
% 61.43/21.90 | (2690) all_1824_3_720 = all_1819_2_715
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1809_3_708, all_1814_2_711 and discharging atoms leq(n0, all_0_7_7) = all_1814_2_711, leq(n0, all_0_7_7) = all_1809_3_708, yields:
% 61.43/21.90 | (2691) all_1814_2_711 = all_1809_3_708
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1804_3_704, 0 and discharging atoms leq(n0, all_0_7_7) = all_1804_3_704, leq(n0, all_0_7_7) = 0, yields:
% 61.43/21.90 | (2692) all_1804_3_704 = 0
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1794_3_696, all_1814_2_711 and discharging atoms leq(n0, all_0_7_7) = all_1814_2_711, leq(n0, all_0_7_7) = all_1794_3_696, yields:
% 61.43/21.90 | (2693) all_1814_2_711 = all_1794_3_696
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1794_3_696, all_1799_2_699 and discharging atoms leq(n0, all_0_7_7) = all_1799_2_699, leq(n0, all_0_7_7) = all_1794_3_696, yields:
% 61.43/21.90 | (2694) all_1799_2_699 = all_1794_3_696
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1789_2_691, all_1814_2_711 and discharging atoms leq(n0, all_0_7_7) = all_1814_2_711, leq(n0, all_0_7_7) = all_1789_2_691, yields:
% 61.43/21.90 | (2695) all_1814_2_711 = all_1789_2_691
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1784_3_688, all_1814_2_711 and discharging atoms leq(n0, all_0_7_7) = all_1814_2_711, leq(n0, all_0_7_7) = all_1784_3_688, yields:
% 61.43/21.90 | (2696) all_1814_2_711 = all_1784_3_688
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1779_2_683, all_1804_3_704 and discharging atoms leq(n0, all_0_7_7) = all_1804_3_704, leq(n0, all_0_7_7) = all_1779_2_683, yields:
% 61.43/21.90 | (2697) all_1804_3_704 = all_1779_2_683
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1774_3_680, all_1824_3_720 and discharging atoms leq(n0, all_0_7_7) = all_1824_3_720, leq(n0, all_0_7_7) = all_1774_3_680, yields:
% 61.43/21.90 | (2698) all_1824_3_720 = all_1774_3_680
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1769_2_675, all_1829_2_723 and discharging atoms leq(n0, all_0_7_7) = all_1829_2_723, leq(n0, all_0_7_7) = all_1769_2_675, yields:
% 61.43/21.90 | (2699) all_1829_2_723 = all_1769_2_675
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1764_3_672, all_1819_2_715 and discharging atoms leq(n0, all_0_7_7) = all_1819_2_715, leq(n0, all_0_7_7) = all_1764_3_672, yields:
% 61.43/21.90 | (2700) all_1819_2_715 = all_1764_3_672
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1759_2_667, all_1819_2_715 and discharging atoms leq(n0, all_0_7_7) = all_1819_2_715, leq(n0, all_0_7_7) = all_1759_2_667, yields:
% 61.43/21.90 | (2701) all_1819_2_715 = all_1759_2_667
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1749_3_660, all_1784_3_688 and discharging atoms leq(n0, all_0_7_7) = all_1784_3_688, leq(n0, all_0_7_7) = all_1749_3_660, yields:
% 61.43/21.90 | (2702) all_1784_3_688 = all_1749_3_660
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1749_3_660, all_1754_3_664 and discharging atoms leq(n0, all_0_7_7) = all_1754_3_664, leq(n0, all_0_7_7) = all_1749_3_660, yields:
% 61.43/21.90 | (2703) all_1754_3_664 = all_1749_3_660
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1744_2_655, all_1759_2_667 and discharging atoms leq(n0, all_0_7_7) = all_1759_2_667, leq(n0, all_0_7_7) = all_1744_2_655, yields:
% 61.43/21.90 | (2704) all_1759_2_667 = all_1744_2_655
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1744_2_655, all_1754_3_664 and discharging atoms leq(n0, all_0_7_7) = all_1754_3_664, leq(n0, all_0_7_7) = all_1744_2_655, yields:
% 61.43/21.90 | (2705) all_1754_3_664 = all_1744_2_655
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1708_2_627, all_1754_3_664 and discharging atoms leq(n0, all_0_7_7) = all_1754_3_664, leq(n0, all_0_7_7) = all_1708_2_627, yields:
% 61.43/21.90 | (2706) all_1754_3_664 = all_1708_2_627
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1703_2_623, all_1829_2_723 and discharging atoms leq(n0, all_0_7_7) = all_1829_2_723, leq(n0, all_0_7_7) = all_1703_2_623, yields:
% 61.43/21.90 | (2707) all_1829_2_723 = all_1703_2_623
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1698_3_620, all_1744_2_655 and discharging atoms leq(n0, all_0_7_7) = all_1744_2_655, leq(n0, all_0_7_7) = all_1698_3_620, yields:
% 61.43/21.90 | (2708) all_1744_2_655 = all_1698_3_620
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1693_3_616, all_1799_2_699 and discharging atoms leq(n0, all_0_7_7) = all_1799_2_699, leq(n0, all_0_7_7) = all_1693_3_616, yields:
% 61.43/21.90 | (2709) all_1799_2_699 = all_1693_3_616
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1688_2_611, all_1779_2_683 and discharging atoms leq(n0, all_0_7_7) = all_1779_2_683, leq(n0, all_0_7_7) = all_1688_2_611, yields:
% 61.43/21.90 | (2710) all_1779_2_683 = all_1688_2_611
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1683_3_608, all_1688_2_611 and discharging atoms leq(n0, all_0_7_7) = all_1688_2_611, leq(n0, all_0_7_7) = all_1683_3_608, yields:
% 61.43/21.90 | (2711) all_1688_2_611 = all_1683_3_608
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1678_2_603, all_1698_3_620 and discharging atoms leq(n0, all_0_7_7) = all_1698_3_620, leq(n0, all_0_7_7) = all_1678_2_603, yields:
% 61.43/21.90 | (2712) all_1698_3_620 = all_1678_2_603
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1678_2_603, all_1683_3_608 and discharging atoms leq(n0, all_0_7_7) = all_1683_3_608, leq(n0, all_0_7_7) = all_1678_2_603, yields:
% 61.43/21.90 | (2713) all_1683_3_608 = all_1678_2_603
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1673_3_600, all_1698_3_620 and discharging atoms leq(n0, all_0_7_7) = all_1698_3_620, leq(n0, all_0_7_7) = all_1673_3_600, yields:
% 61.43/21.90 | (2714) all_1698_3_620 = all_1673_3_600
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1548_2_517, all_1698_3_620 and discharging atoms leq(n0, all_0_7_7) = all_1698_3_620, leq(n0, all_0_7_7) = all_1548_2_517, yields:
% 61.43/21.90 | (2715) all_1698_3_620 = all_1548_2_517
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1291_2_491, all_1548_2_517 and discharging atoms leq(n0, all_0_7_7) = all_1548_2_517, leq(n0, all_0_7_7) = all_1291_2_491, yields:
% 61.43/21.90 | (2716) all_1548_2_517 = all_1291_2_491
% 61.43/21.90 |
% 61.43/21.90 | Instantiating formula (30) with n0, all_0_7_7, all_1291_3_492, all_1291_2_491 and discharging atoms leq(n0, all_0_7_7) = all_1291_2_491, leq(n0, all_0_7_7) = all_1291_3_492, yields:
% 61.43/21.91 | (2717) all_1291_2_491 = all_1291_3_492
% 61.43/21.91 |
% 61.43/21.91 | Instantiating formula (30) with n0, all_0_7_7, all_1286_2_487, all_1291_3_492 and discharging atoms leq(n0, all_0_7_7) = all_1291_3_492, leq(n0, all_0_7_7) = all_1286_2_487, yields:
% 61.43/21.91 | (2718) all_1291_3_492 = all_1286_2_487
% 61.43/21.91 |
% 61.43/21.91 | Instantiating formula (30) with n0, all_0_7_7, all_1286_3_488, all_1286_2_487 and discharging atoms leq(n0, all_0_7_7) = all_1286_2_487, leq(n0, all_0_7_7) = all_1286_3_488, yields:
% 61.43/21.91 | (2719) all_1286_2_487 = all_1286_3_488
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2707,2699) yields a new equation:
% 61.43/21.91 | (2720) all_1769_2_675 = all_1703_2_623
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2689,2699) yields a new equation:
% 61.43/21.91 | (2721) all_1819_2_715 = all_1769_2_675
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2721 yields:
% 61.43/21.91 | (2722) all_1819_2_715 = all_1769_2_675
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2690,2698) yields a new equation:
% 61.43/21.91 | (2723) all_1819_2_715 = all_1774_3_680
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2723 yields:
% 61.43/21.91 | (2724) all_1819_2_715 = all_1774_3_680
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2700,2724) yields a new equation:
% 61.43/21.91 | (2725) all_1774_3_680 = all_1764_3_672
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2701,2724) yields a new equation:
% 61.43/21.91 | (2726) all_1774_3_680 = all_1759_2_667
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2722,2724) yields a new equation:
% 61.43/21.91 | (2727) all_1774_3_680 = all_1769_2_675
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2693,2691) yields a new equation:
% 61.43/21.91 | (2728) all_1809_3_708 = all_1794_3_696
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2695,2691) yields a new equation:
% 61.43/21.91 | (2729) all_1809_3_708 = all_1789_2_691
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2696,2691) yields a new equation:
% 61.43/21.91 | (2730) all_1809_3_708 = all_1784_3_688
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2728,2729) yields a new equation:
% 61.43/21.91 | (2731) all_1794_3_696 = all_1789_2_691
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2731 yields:
% 61.43/21.91 | (2732) all_1794_3_696 = all_1789_2_691
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2730,2729) yields a new equation:
% 61.43/21.91 | (2733) all_1789_2_691 = all_1784_3_688
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2697,2692) yields a new equation:
% 61.43/21.91 | (2734) all_1779_2_683 = 0
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2734 yields:
% 61.43/21.91 | (2735) all_1779_2_683 = 0
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2694,2709) yields a new equation:
% 61.43/21.91 | (2736) all_1794_3_696 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2736 yields:
% 61.43/21.91 | (2737) all_1794_3_696 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2732,2737) yields a new equation:
% 61.43/21.91 | (2738) all_1789_2_691 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2738 yields:
% 61.43/21.91 | (2739) all_1789_2_691 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2733,2739) yields a new equation:
% 61.43/21.91 | (2740) all_1784_3_688 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2740 yields:
% 61.43/21.91 | (2741) all_1784_3_688 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2702,2741) yields a new equation:
% 61.43/21.91 | (2742) all_1749_3_660 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2742 yields:
% 61.43/21.91 | (2743) all_1749_3_660 = all_1693_3_616
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2710,2735) yields a new equation:
% 61.43/21.91 | (2744) all_1688_2_611 = 0
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2744 yields:
% 61.43/21.91 | (2745) all_1688_2_611 = 0
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2726,2725) yields a new equation:
% 61.43/21.91 | (2746) all_1764_3_672 = all_1759_2_667
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2727,2725) yields a new equation:
% 61.43/21.91 | (2747) all_1769_2_675 = all_1764_3_672
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2747 yields:
% 61.43/21.91 | (2748) all_1769_2_675 = all_1764_3_672
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2748,2720) yields a new equation:
% 61.43/21.91 | (2749) all_1764_3_672 = all_1703_2_623
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2749 yields:
% 61.43/21.91 | (2750) all_1764_3_672 = all_1703_2_623
% 61.43/21.91 |
% 61.43/21.91 | Combining equations (2746,2750) yields a new equation:
% 61.43/21.91 | (2751) all_1759_2_667 = all_1703_2_623
% 61.43/21.91 |
% 61.43/21.91 | Simplifying 2751 yields:
% 61.43/21.91 | (2752) all_1759_2_667 = all_1703_2_623
% 61.43/21.91 |
% 61.52/21.91 | Combining equations (2704,2752) yields a new equation:
% 61.52/21.91 | (2753) all_1744_2_655 = all_1703_2_623
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2753 yields:
% 61.52/21.91 | (2754) all_1744_2_655 = all_1703_2_623
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2703,2706) yields a new equation:
% 61.52/21.91 | (2755) all_1749_3_660 = all_1708_2_627
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2755 yields:
% 61.52/21.91 | (2756) all_1749_3_660 = all_1708_2_627
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2705,2706) yields a new equation:
% 61.52/21.91 | (2757) all_1744_2_655 = all_1708_2_627
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2757 yields:
% 61.52/21.91 | (2758) all_1744_2_655 = all_1708_2_627
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2756,2743) yields a new equation:
% 61.52/21.91 | (2759) all_1708_2_627 = all_1693_3_616
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2759 yields:
% 61.52/21.91 | (2760) all_1708_2_627 = all_1693_3_616
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2708,2754) yields a new equation:
% 61.52/21.91 | (2761) all_1703_2_623 = all_1698_3_620
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2758,2754) yields a new equation:
% 61.52/21.91 | (2762) all_1708_2_627 = all_1703_2_623
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2762 yields:
% 61.52/21.91 | (2763) all_1708_2_627 = all_1703_2_623
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2665,2674) yields a new equation:
% 61.52/21.91 | (2764) all_1643_2_575 = all_1608_3_548
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2764 yields:
% 61.52/21.91 | (2765) all_1643_2_575 = all_1608_3_548
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2667,2674) yields a new equation:
% 61.52/21.91 | (2766) all_1633_3_568 = all_1608_3_548
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2766 yields:
% 61.52/21.91 | (2767) all_1633_3_568 = all_1608_3_548
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2660,2675) yields a new equation:
% 61.52/21.91 | (2768) all_1729_3_644 = all_1603_2_543
% 61.52/21.91 |
% 61.52/21.91 | Simplifying 2768 yields:
% 61.52/21.91 | (2769) all_1729_3_644 = all_1603_2_543
% 61.52/21.91 |
% 61.52/21.91 | Combining equations (2661,2769) yields a new equation:
% 61.52/21.92 | (2770) all_1719_2_635 = all_1603_2_543
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2770 yields:
% 61.52/21.92 | (2771) all_1719_2_635 = all_1603_2_543
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2662,2672) yields a new equation:
% 61.52/21.92 | (2772) all_1714_3_632 = all_1618_3_556
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2772 yields:
% 61.52/21.92 | (2773) all_1714_3_632 = all_1618_3_556
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2668,2771) yields a new equation:
% 61.52/21.92 | (2774) all_1633_3_568 = all_1603_2_543
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2774 yields:
% 61.52/21.92 | (2775) all_1633_3_568 = all_1603_2_543
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2684,2773) yields a new equation:
% 61.52/21.92 | (2776) all_1618_3_556 = all_1379_2_499
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2664,2773) yields a new equation:
% 61.52/21.92 | (2777) all_1648_3_580 = all_1618_3_556
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2777 yields:
% 61.52/21.92 | (2778) all_1648_3_580 = all_1618_3_556
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2763,2760) yields a new equation:
% 61.52/21.92 | (2779) all_1703_2_623 = all_1693_3_616
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2779 yields:
% 61.52/21.92 | (2780) all_1703_2_623 = all_1693_3_616
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2761,2780) yields a new equation:
% 61.52/21.92 | (2781) all_1698_3_620 = all_1693_3_616
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2781 yields:
% 61.52/21.92 | (2782) all_1698_3_620 = all_1693_3_616
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2714,2782) yields a new equation:
% 61.52/21.92 | (2783) all_1693_3_616 = all_1673_3_600
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2712,2782) yields a new equation:
% 61.52/21.92 | (2784) all_1693_3_616 = all_1678_2_603
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2715,2782) yields a new equation:
% 61.52/21.92 | (2785) all_1693_3_616 = all_1548_2_517
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2785,2783) yields a new equation:
% 61.52/21.92 | (2786) all_1673_3_600 = all_1548_2_517
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2784,2783) yields a new equation:
% 61.52/21.92 | (2787) all_1678_2_603 = all_1673_3_600
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2787 yields:
% 61.52/21.92 | (2788) all_1678_2_603 = all_1673_3_600
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2711,2745) yields a new equation:
% 61.52/21.92 | (2789) all_1683_3_608 = 0
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2789 yields:
% 61.52/21.92 | (2790) all_1683_3_608 = 0
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2713,2790) yields a new equation:
% 61.52/21.92 | (2791) all_1678_2_603 = 0
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2791 yields:
% 61.52/21.92 | (2792) all_1678_2_603 = 0
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2788,2792) yields a new equation:
% 61.52/21.92 | (2793) all_1673_3_600 = 0
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2793 yields:
% 61.52/21.92 | (2794) all_1673_3_600 = 0
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2786,2794) yields a new equation:
% 61.52/21.92 | (2795) all_1548_2_517 = 0
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2795 yields:
% 61.52/21.92 | (2796) all_1548_2_517 = 0
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2666,2673) yields a new equation:
% 61.52/21.92 | (2797) all_1643_2_575 = all_1613_2_551
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2797 yields:
% 61.52/21.92 | (2798) all_1643_2_575 = all_1613_2_551
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2663,2686) yields a new equation:
% 61.52/21.92 | (2799) all_1653_3_584 = all_1379_3_500
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2799 yields:
% 61.52/21.92 | (2800) all_1653_3_584 = all_1379_3_500
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2669,2676) yields a new equation:
% 61.52/21.92 | (2801) all_1633_3_568 = all_1598_3_540
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2801 yields:
% 61.52/21.92 | (2802) all_1633_3_568 = all_1598_3_540
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2677,2676) yields a new equation:
% 61.52/21.92 | (2803) all_1598_3_540 = all_1593_2_535
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2678,2800) yields a new equation:
% 61.52/21.92 | (2804) all_1593_2_535 = all_1379_3_500
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2804 yields:
% 61.52/21.92 | (2805) all_1593_2_535 = all_1379_3_500
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2778,2687) yields a new equation:
% 61.52/21.92 | (2806) all_1618_3_556 = all_1374_2_495
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2806 yields:
% 61.52/21.92 | (2807) all_1618_3_556 = all_1374_2_495
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2670,2798) yields a new equation:
% 61.52/21.92 | (2808) all_1623_2_559 = all_1613_2_551
% 61.52/21.92 |
% 61.52/21.92 | Simplifying 2808 yields:
% 61.52/21.92 | (2809) all_1623_2_559 = all_1613_2_551
% 61.52/21.92 |
% 61.52/21.92 | Combining equations (2765,2798) yields a new equation:
% 61.56/21.92 | (2810) all_1613_2_551 = all_1608_3_548
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2671,2680) yields a new equation:
% 61.56/21.92 | (2811) all_1623_2_559 = all_1588_2_531
% 61.56/21.92 |
% 61.56/21.92 | Simplifying 2811 yields:
% 61.56/21.92 | (2812) all_1623_2_559 = all_1588_2_531
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2767,2775) yields a new equation:
% 61.56/21.92 | (2813) all_1608_3_548 = all_1603_2_543
% 61.56/21.92 |
% 61.56/21.92 | Simplifying 2813 yields:
% 61.56/21.92 | (2814) all_1608_3_548 = all_1603_2_543
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2802,2775) yields a new equation:
% 61.56/21.92 | (2815) all_1603_2_543 = all_1598_3_540
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2682,2683) yields a new equation:
% 61.56/21.92 | (2816) all_1583_3_528 = all_1548_3_518
% 61.56/21.92 |
% 61.56/21.92 | Simplifying 2816 yields:
% 61.56/21.92 | (2817) all_1583_3_528 = all_1548_3_518
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2685,2683) yields a new equation:
% 61.56/21.92 | (2818) all_1548_3_518 = all_1379_2_499
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2679,2683) yields a new equation:
% 61.56/21.92 | (2819) all_1593_2_535 = all_1548_3_518
% 61.56/21.92 |
% 61.56/21.92 | Simplifying 2819 yields:
% 61.56/21.92 | (2820) all_1593_2_535 = all_1548_3_518
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2809,2812) yields a new equation:
% 61.56/21.92 | (2821) all_1613_2_551 = all_1588_2_531
% 61.56/21.92 |
% 61.56/21.92 | Simplifying 2821 yields:
% 61.56/21.92 | (2822) all_1613_2_551 = all_1588_2_531
% 61.56/21.92 |
% 61.56/21.92 | Combining equations (2776,2807) yields a new equation:
% 61.56/21.93 | (2823) all_1379_2_499 = all_1374_2_495
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2823 yields:
% 61.56/21.93 | (2824) all_1379_2_499 = all_1374_2_495
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2810,2822) yields a new equation:
% 61.56/21.93 | (2825) all_1608_3_548 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2825 yields:
% 61.56/21.93 | (2826) all_1608_3_548 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2814,2826) yields a new equation:
% 61.56/21.93 | (2827) all_1603_2_543 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2827 yields:
% 61.56/21.93 | (2828) all_1603_2_543 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2815,2828) yields a new equation:
% 61.56/21.93 | (2829) all_1598_3_540 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2829 yields:
% 61.56/21.93 | (2830) all_1598_3_540 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2803,2830) yields a new equation:
% 61.56/21.93 | (2831) all_1593_2_535 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2831 yields:
% 61.56/21.93 | (2832) all_1593_2_535 = all_1588_2_531
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2805,2832) yields a new equation:
% 61.56/21.93 | (2833) all_1588_2_531 = all_1379_3_500
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2820,2832) yields a new equation:
% 61.56/21.93 | (2834) all_1588_2_531 = all_1548_3_518
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2834,2833) yields a new equation:
% 61.56/21.93 | (2835) all_1548_3_518 = all_1379_3_500
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2835 yields:
% 61.56/21.93 | (2836) all_1548_3_518 = all_1379_3_500
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2817,2681) yields a new equation:
% 61.56/21.93 | (2837) all_1548_3_518 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2837 yields:
% 61.56/21.93 | (2838) all_1548_3_518 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2716,2796) yields a new equation:
% 61.56/21.93 | (2839) all_1291_2_491 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2839 yields:
% 61.56/21.93 | (2840) all_1291_2_491 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2818,2836) yields a new equation:
% 61.56/21.93 | (2841) all_1379_2_499 = all_1379_3_500
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2841 yields:
% 61.56/21.93 | (2842) all_1379_2_499 = all_1379_3_500
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2838,2836) yields a new equation:
% 61.56/21.93 | (2843) all_1379_3_500 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2688,2824) yields a new equation:
% 61.56/21.93 | (2844) all_1374_2_495 = all_1374_3_496
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2842,2824) yields a new equation:
% 61.56/21.93 | (2845) all_1379_3_500 = all_1374_2_495
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2845 yields:
% 61.56/21.93 | (2846) all_1379_3_500 = all_1374_2_495
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2846,2843) yields a new equation:
% 61.56/21.93 | (2847) all_1374_2_495 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2847 yields:
% 61.56/21.93 | (2848) all_1374_2_495 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2844,2848) yields a new equation:
% 61.56/21.93 | (2849) all_1374_3_496 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2849 yields:
% 61.56/21.93 | (2850) all_1374_3_496 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2717,2840) yields a new equation:
% 61.56/21.93 | (2851) all_1291_3_492 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2851 yields:
% 61.56/21.93 | (2852) all_1291_3_492 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2718,2852) yields a new equation:
% 61.56/21.93 | (2853) all_1286_2_487 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2853 yields:
% 61.56/21.93 | (2854) all_1286_2_487 = 0
% 61.56/21.93 |
% 61.56/21.93 | Combining equations (2719,2854) yields a new equation:
% 61.56/21.93 | (2855) all_1286_3_488 = 0
% 61.56/21.93 |
% 61.56/21.93 | Simplifying 2855 yields:
% 61.56/21.93 | (2856) all_1286_3_488 = 0
% 61.56/21.93 |
% 61.56/21.93 | From (2850) and (1871) follows:
% 61.56/21.93 | (264) leq(n0, all_0_6_6) = 0
% 61.56/21.93 |
% 61.56/21.93 | From (2856) and (1691) follows:
% 61.56/21.93 | (271) leq(n0, all_0_7_7) = 0
% 61.56/21.93 |
% 61.56/21.93 +-Applying beta-rule and splitting (1676), into two cases.
% 61.56/21.93 |-Branch one:
% 61.56/21.93 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 61.56/21.93 |
% 61.56/21.93 | From (143) and (1684) follows:
% 61.56/21.93 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 61.56/21.93 |
% 61.56/21.93 | Using (273) and (1685) yields:
% 61.56/21.93 | (276) $false
% 61.56/21.93 |
% 61.56/21.93 |-The branch is then unsatisfiable
% 61.56/21.93 |-Branch two:
% 61.56/21.93 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 61.56/21.93 | (2863) ? [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))
% 61.56/21.93 |
% 61.56/21.93 | Instantiating (2863) with all_1945_0_729, all_1945_1_730, all_1945_2_731, all_1945_3_732 yields:
% 61.56/21.93 | (2864) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1945_0_729 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1945_1_730 & leq(n0, all_0_6_6) = all_1945_2_731 & leq(n0, all_0_7_7) = all_1945_3_732 & ( ~ (all_1945_2_731 = 0) | ~ (all_1945_3_732 = 0) | all_1945_0_729 = all_1945_1_730)
% 61.56/21.93 |
% 61.56/21.93 | Applying alpha-rule on (2864) yields:
% 61.56/21.93 | (2865) leq(n0, all_0_6_6) = all_1945_2_731
% 61.56/21.93 | (2866) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1945_0_729
% 61.56/21.93 | (2867) leq(n0, all_0_7_7) = all_1945_3_732
% 61.56/21.93 | (2868) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1945_1_730
% 61.56/21.93 | (2869) ~ (all_1945_2_731 = 0) | ~ (all_1945_3_732 = 0) | all_1945_0_729 = all_1945_1_730
% 61.56/21.93 |
% 61.56/21.93 | Instantiating formula (126) with pminus_ds1_filter, all_0_6_6, all_0_7_7, all_1945_0_729, all_0_0_0 and discharging atoms a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1945_0_729, a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 61.56/21.93 | (2870) all_1945_0_729 = all_0_0_0
% 61.56/21.93 |
% 61.56/21.93 | Instantiating formula (126) with pminus_ds1_filter, all_0_7_7, all_0_6_6, all_1945_1_730, all_0_1_1 and discharging atoms a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1945_1_730, a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 61.56/21.93 | (2871) all_1945_1_730 = all_0_1_1
% 61.56/21.93 |
% 61.56/21.93 | Instantiating formula (30) with n0, all_0_6_6, all_1945_2_731, 0 and discharging atoms leq(n0, all_0_6_6) = all_1945_2_731, leq(n0, all_0_6_6) = 0, yields:
% 61.56/21.93 | (2872) all_1945_2_731 = 0
% 61.56/21.93 |
% 61.56/21.93 | Instantiating formula (30) with n0, all_0_7_7, all_1945_3_732, 0 and discharging atoms leq(n0, all_0_7_7) = all_1945_3_732, leq(n0, all_0_7_7) = 0, yields:
% 61.56/21.94 | (2873) all_1945_3_732 = 0
% 61.56/21.94 |
% 61.56/21.94 +-Applying beta-rule and splitting (2869), into two cases.
% 61.56/21.94 |-Branch one:
% 61.56/21.94 | (2874) ~ (all_1945_2_731 = 0)
% 61.56/21.94 |
% 61.56/21.94 | Equations (2872) can reduce 2874 to:
% 61.56/21.94 | (2875) $false
% 61.56/21.94 |
% 61.56/21.94 |-The branch is then unsatisfiable
% 61.56/21.94 |-Branch two:
% 61.56/21.94 | (2872) all_1945_2_731 = 0
% 61.56/21.94 | (2877) ~ (all_1945_3_732 = 0) | all_1945_0_729 = all_1945_1_730
% 61.56/21.94 |
% 61.56/21.94 +-Applying beta-rule and splitting (2877), into two cases.
% 61.56/21.94 |-Branch one:
% 61.56/21.94 | (2878) ~ (all_1945_3_732 = 0)
% 61.56/21.94 |
% 61.56/21.94 | Equations (2873) can reduce 2878 to:
% 61.56/21.94 | (2875) $false
% 61.56/21.94 |
% 61.56/21.94 |-The branch is then unsatisfiable
% 61.56/21.94 |-Branch two:
% 61.56/21.94 | (2873) all_1945_3_732 = 0
% 61.56/21.94 | (2881) all_1945_0_729 = all_1945_1_730
% 61.56/21.94 |
% 61.56/21.94 | Combining equations (2881,2870) yields a new equation:
% 61.56/21.94 | (2882) all_1945_1_730 = all_0_0_0
% 61.56/21.94 |
% 61.56/21.94 | Simplifying 2882 yields:
% 61.56/21.94 | (2883) all_1945_1_730 = all_0_0_0
% 61.56/21.94 |
% 61.56/21.94 | Combining equations (2883,2871) yields a new equation:
% 61.56/21.94 | (2884) all_0_0_0 = all_0_1_1
% 61.56/21.94 |
% 61.56/21.94 | Simplifying 2884 yields:
% 61.56/21.94 | (2885) all_0_0_0 = all_0_1_1
% 61.56/21.94 |
% 61.56/21.94 | Equations (2885) can reduce 267 to:
% 61.56/21.94 | (2875) $false
% 61.56/21.94 |
% 61.56/21.94 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (2887) 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
% 61.56/21.95 |
% 61.56/21.95 | Applying alpha-rule on (2887) yields:
% 61.56/21.95 | (261) all_0_4_4 = 0
% 61.56/21.95 | (263) all_0_3_3 = 0
% 61.56/21.95 | (264) leq(n0, all_0_6_6) = 0
% 61.56/21.95 | (267) ~ (all_0_0_0 = all_0_1_1)
% 61.56/21.95 | (2892) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 61.56/21.95 | (268) all_0_5_5 = 0
% 61.56/21.95 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 61.56/21.95 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 61.56/21.95 | (269) all_0_2_2 = 0
% 61.56/21.95 | (271) leq(n0, all_0_7_7) = 0
% 61.56/21.95 | (2898) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 61.56/21.95 |
% 61.56/21.95 | From (144) and (2894) follows:
% 61.56/21.95 | (2899) leq(all_0_6_6, n2) = 0
% 61.56/21.95 |
% 61.56/21.95 | From (144) and (2895) follows:
% 61.56/21.95 | (2900) leq(all_0_7_7, n2) = 0
% 61.56/21.95 |
% 61.56/21.95 +-Applying beta-rule and splitting (145), into two cases.
% 61.56/21.95 |-Branch one:
% 61.56/21.95 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (274) follows:
% 61.56/21.95 | (275) ~ (leq(n5, n5) = 0)
% 61.56/21.95 |
% 61.56/21.95 | Using (132) and (275) yields:
% 61.56/21.95 | (276) $false
% 61.56/21.95 |
% 61.56/21.95 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (277) leq(n5, all_0_9_9) = 0
% 61.56/21.95 | (278) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n5) = v3 & a_select3(pminus_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (277) follows:
% 61.56/21.95 | (132) leq(n5, n5) = 0
% 61.56/21.95 |
% 61.56/21.95 +-Applying beta-rule and splitting (146), into two cases.
% 61.56/21.95 |-Branch one:
% 61.56/21.95 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (274) follows:
% 61.56/21.95 | (275) ~ (leq(n5, n5) = 0)
% 61.56/21.95 |
% 61.56/21.95 | Using (132) and (275) yields:
% 61.56/21.95 | (276) $false
% 61.56/21.95 |
% 61.56/21.95 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (277) leq(n5, all_0_9_9) = 0
% 61.56/21.95 | (290) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n5) = v3 & a_select3(q_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (277) follows:
% 61.56/21.95 | (132) leq(n5, n5) = 0
% 61.56/21.95 |
% 61.56/21.95 +-Applying beta-rule and splitting (151), into two cases.
% 61.56/21.95 |-Branch one:
% 61.56/21.95 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (298) follows:
% 61.56/21.95 | (299) ~ (leq(n4, n5) = 0)
% 61.56/21.95 |
% 61.56/21.95 | Using (133) and (299) yields:
% 61.56/21.95 | (276) $false
% 61.56/21.95 |
% 61.56/21.95 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (301) leq(n4, all_0_9_9) = 0
% 61.56/21.95 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n4) = v3 & a_select3(pminus_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (301) follows:
% 61.56/21.95 | (133) leq(n4, n5) = 0
% 61.56/21.95 |
% 61.56/21.95 +-Applying beta-rule and splitting (152), into two cases.
% 61.56/21.95 |-Branch one:
% 61.56/21.95 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (298) follows:
% 61.56/21.95 | (299) ~ (leq(n4, n5) = 0)
% 61.56/21.95 |
% 61.56/21.95 | Using (133) and (299) yields:
% 61.56/21.95 | (276) $false
% 61.56/21.95 |
% 61.56/21.95 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (301) leq(n4, all_0_9_9) = 0
% 61.56/21.95 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n4) = v3 & a_select3(q_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (301) follows:
% 61.56/21.95 | (133) leq(n4, n5) = 0
% 61.56/21.95 |
% 61.56/21.95 +-Applying beta-rule and splitting (175), into two cases.
% 61.56/21.95 |-Branch one:
% 61.56/21.95 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (310) follows:
% 61.56/21.95 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.95 |
% 61.56/21.95 | Using (135) and (311) yields:
% 61.56/21.95 | (276) $false
% 61.56/21.95 |
% 61.56/21.95 |-The branch is then unsatisfiable
% 61.56/21.95 |-Branch two:
% 61.56/21.95 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.95 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n2) = v3 & a_select3(pminus_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.95 |
% 61.56/21.95 | Instantiating (314) with all_72_0_753, all_72_1_754, all_72_2_755, all_72_3_756 yields:
% 61.56/21.95 | (2930) a_select3(pminus_ds1_filter, n2, n2) = all_72_0_753 & a_select3(pminus_ds1_filter, n2, n2) = all_72_1_754 & leq(n0, n2) = all_72_2_755 & leq(n0, n2) = all_72_3_756 & ( ~ (all_72_2_755 = 0) | ~ (all_72_3_756 = 0) | all_72_0_753 = all_72_1_754)
% 61.56/21.95 |
% 61.56/21.95 | Applying alpha-rule on (2930) yields:
% 61.56/21.95 | (2931) leq(n0, n2) = all_72_2_755
% 61.56/21.95 | (2932) ~ (all_72_2_755 = 0) | ~ (all_72_3_756 = 0) | all_72_0_753 = all_72_1_754
% 61.56/21.95 | (2933) leq(n0, n2) = all_72_3_756
% 61.56/21.95 | (2934) a_select3(pminus_ds1_filter, n2, n2) = all_72_1_754
% 61.56/21.95 | (2935) a_select3(pminus_ds1_filter, n2, n2) = all_72_0_753
% 61.56/21.95 |
% 61.56/21.95 | From (143) and (313) follows:
% 61.56/21.96 | (135) leq(n2, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (161), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (316) follows:
% 61.56/21.96 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (134) and (317) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.96 | (320) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n3) = v3 & a_select3(pminus_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (319) follows:
% 61.56/21.96 | (134) leq(n3, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (162), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (316) follows:
% 61.56/21.96 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (134) and (317) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.96 | (326) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n3) = v3 & a_select3(q_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (319) follows:
% 61.56/21.96 | (134) leq(n3, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (176), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (310) follows:
% 61.56/21.96 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (135) and (311) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.96 | (332) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n2) = v3 & a_select3(q_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | Instantiating (332) with all_87_0_765, all_87_1_766, all_87_2_767, all_87_3_768 yields:
% 61.56/21.96 | (2954) a_select3(q_ds1_filter, n2, n2) = all_87_0_765 & a_select3(q_ds1_filter, n2, n2) = all_87_1_766 & leq(n0, n2) = all_87_2_767 & leq(n0, n2) = all_87_3_768 & ( ~ (all_87_2_767 = 0) | ~ (all_87_3_768 = 0) | all_87_0_765 = all_87_1_766)
% 61.56/21.96 |
% 61.56/21.96 | Applying alpha-rule on (2954) yields:
% 61.56/21.96 | (2955) ~ (all_87_2_767 = 0) | ~ (all_87_3_768 = 0) | all_87_0_765 = all_87_1_766
% 61.56/21.96 | (2956) a_select3(q_ds1_filter, n2, n2) = all_87_1_766
% 61.56/21.96 | (2957) leq(n0, n2) = all_87_2_767
% 61.56/21.96 | (2958) a_select3(q_ds1_filter, n2, n2) = all_87_0_765
% 61.56/21.96 | (2959) leq(n0, n2) = all_87_3_768
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (313) follows:
% 61.56/21.96 | (135) leq(n2, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (177), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (144) and (2961) follows:
% 61.56/21.96 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (139) and (2962) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/21.96 | (2965) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n2) = v3 & a_select3(r_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | Instantiating (2965) with all_92_0_769, all_92_1_770, all_92_2_771, all_92_3_772 yields:
% 61.56/21.96 | (2966) a_select3(r_ds1_filter, n2, n2) = all_92_0_769 & a_select3(r_ds1_filter, n2, n2) = all_92_1_770 & leq(n0, n2) = all_92_2_771 & leq(n0, n2) = all_92_3_772 & ( ~ (all_92_2_771 = 0) | ~ (all_92_3_772 = 0) | all_92_0_769 = all_92_1_770)
% 61.56/21.96 |
% 61.56/21.96 | Applying alpha-rule on (2966) yields:
% 61.56/21.96 | (2967) ~ (all_92_2_771 = 0) | ~ (all_92_3_772 = 0) | all_92_0_769 = all_92_1_770
% 61.56/21.96 | (2968) leq(n0, n2) = all_92_2_771
% 61.56/21.96 | (2969) leq(n0, n2) = all_92_3_772
% 61.56/21.96 | (2970) a_select3(r_ds1_filter, n2, n2) = all_92_0_769
% 61.56/21.96 | (2971) a_select3(r_ds1_filter, n2, n2) = all_92_1_770
% 61.56/21.96 |
% 61.56/21.96 | From (144) and (2964) follows:
% 61.56/21.96 | (139) leq(n2, n2) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (194), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (334) follows:
% 61.56/21.96 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (136) and (335) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.96 | (338) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n1) = v3 & a_select3(pminus_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (337) follows:
% 61.56/21.96 | (136) leq(n1, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (195), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (334) follows:
% 61.56/21.96 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (136) and (335) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.96 | (344) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n1) = v3 & a_select3(q_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (337) follows:
% 61.56/21.96 | (136) leq(n1, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (198), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (144) and (2985) follows:
% 61.56/21.96 | (2986) ~ (leq(n1, n2) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (140) and (2986) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (2988) leq(n1, all_0_8_8) = 0
% 61.56/21.96 | (2989) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n1) = v3 & a_select3(r_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (144) and (2988) follows:
% 61.56/21.96 | (140) leq(n1, n2) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (219), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (346) follows:
% 61.56/21.96 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (137) and (347) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.96 | (350) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (349) follows:
% 61.56/21.96 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (220), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (346) follows:
% 61.56/21.96 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (137) and (347) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.96 | (356) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.96 |
% 61.56/21.96 | From (143) and (349) follows:
% 61.56/21.96 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.96 |
% 61.56/21.96 +-Applying beta-rule and splitting (225), into two cases.
% 61.56/21.96 |-Branch one:
% 61.56/21.96 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.56/21.96 |
% 61.56/21.96 | From (144) and (3003) follows:
% 61.56/21.96 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.56/21.96 |
% 61.56/21.96 | Using (141) and (3004) yields:
% 61.56/21.96 | (276) $false
% 61.56/21.96 |
% 61.56/21.96 |-The branch is then unsatisfiable
% 61.56/21.96 |-Branch two:
% 61.56/21.96 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.56/21.97 | (3007) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (3006) follows:
% 61.56/21.97 | (141) leq(tptp_minus_1, n2) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (250), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (358) follows:
% 61.56/21.97 | (359) ~ (leq(n0, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (138) and (359) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (361) leq(n0, all_0_9_9) = 0
% 61.56/21.97 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n0, n0) = v3 & a_select3(pminus_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (361) follows:
% 61.56/21.97 | (138) leq(n0, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (251), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (358) follows:
% 61.56/21.97 | (359) ~ (leq(n0, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (138) and (359) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (361) leq(n0, all_0_9_9) = 0
% 61.56/21.97 | (368) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n0, n0) = v3 & a_select3(q_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (361) follows:
% 61.56/21.97 | (138) leq(n0, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (258), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (3021) follows:
% 61.56/21.97 | (3022) ~ (leq(n0, n2) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (142) and (3022) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (3024) leq(n0, all_0_8_8) = 0
% 61.56/21.97 | (3025) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n0, n0) = v3 & a_select3(r_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (3024) follows:
% 61.56/21.97 | (142) leq(n0, n2) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (256), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (3003) follows:
% 61.56/21.97 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (141) and (3004) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.56/21.97 | (3031) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (3006) follows:
% 61.56/21.97 | (141) leq(tptp_minus_1, n2) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (253), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (2961) follows:
% 61.56/21.97 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (139) and (2962) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/21.97 | (3037) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v3 & a_select3(r_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (2964) follows:
% 61.56/21.97 | (139) leq(n2, n2) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (234), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (316) follows:
% 61.56/21.97 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (134) and (317) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.97 | (374) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (319) follows:
% 61.56/21.97 | (134) leq(n3, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (235), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (316) follows:
% 61.56/21.97 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (134) and (317) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.97 | (380) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (319) follows:
% 61.56/21.97 | (134) leq(n3, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (214), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (310) follows:
% 61.56/21.97 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (135) and (311) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.97 | (386) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (313) follows:
% 61.56/21.97 | (135) leq(n2, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (193), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (310) follows:
% 61.56/21.97 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (135) and (311) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.97 | (392) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (313) follows:
% 61.56/21.97 | (135) leq(n2, n5) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (196), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (2961) follows:
% 61.56/21.97 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/21.97 |
% 61.56/21.97 | Using (139) and (2962) yields:
% 61.56/21.97 | (276) $false
% 61.56/21.97 |
% 61.56/21.97 |-The branch is then unsatisfiable
% 61.56/21.97 |-Branch two:
% 61.56/21.97 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/21.97 | (3067) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v2 & a_select3(r_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.97 |
% 61.56/21.97 | From (144) and (2964) follows:
% 61.56/21.97 | (139) leq(n2, n2) = 0
% 61.56/21.97 |
% 61.56/21.97 +-Applying beta-rule and splitting (236), into two cases.
% 61.56/21.97 |-Branch one:
% 61.56/21.97 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.97 |
% 61.56/21.97 | From (143) and (316) follows:
% 61.56/21.97 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (134) and (317) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.98 | (398) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (319) follows:
% 61.56/21.98 | (134) leq(n3, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (237), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (316) follows:
% 61.56/21.98 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (134) and (317) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.98 | (404) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (319) follows:
% 61.56/21.98 | (134) leq(n3, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (240), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (410) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (238), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (416) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (239), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (422) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (212), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (428) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (241), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (434) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (246), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (346) follows:
% 61.56/21.98 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (137) and (347) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.98 | (440) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (349) follows:
% 61.56/21.98 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (247), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (346) follows:
% 61.56/21.98 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (137) and (347) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.98 | (446) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (349) follows:
% 61.56/21.98 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (242), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (334) follows:
% 61.56/21.98 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (136) and (335) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.98 | (452) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (337) follows:
% 61.56/21.98 | (136) leq(n1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (243), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (334) follows:
% 61.56/21.98 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (136) and (335) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.98 | (458) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (337) follows:
% 61.56/21.98 | (136) leq(n1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (244), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (334) follows:
% 61.56/21.98 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (136) and (335) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.98 | (464) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (337) follows:
% 61.56/21.98 | (136) leq(n1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (213), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (310) follows:
% 61.56/21.98 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (135) and (311) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.98 | (470) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (313) follows:
% 61.56/21.98 | (135) leq(n2, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (208), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (316) follows:
% 61.56/21.98 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (134) and (317) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.98 | (476) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (319) follows:
% 61.56/21.98 | (134) leq(n3, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (216), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (334) follows:
% 61.56/21.98 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (136) and (335) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.98 | (482) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (337) follows:
% 61.56/21.98 | (136) leq(n1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (217), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (334) follows:
% 61.56/21.98 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (136) and (335) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.98 | (488) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (337) follows:
% 61.56/21.98 | (136) leq(n1, n5) = 0
% 61.56/21.98 |
% 61.56/21.98 +-Applying beta-rule and splitting (209), into two cases.
% 61.56/21.98 |-Branch one:
% 61.56/21.98 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.98 |
% 61.56/21.98 | From (143) and (316) follows:
% 61.56/21.98 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.98 |
% 61.56/21.98 | Using (134) and (317) yields:
% 61.56/21.98 | (276) $false
% 61.56/21.98 |
% 61.56/21.98 |-The branch is then unsatisfiable
% 61.56/21.98 |-Branch two:
% 61.56/21.98 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.99 | (494) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (319) follows:
% 61.56/21.99 | (134) leq(n3, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (210), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (316) follows:
% 61.56/21.99 | (317) ~ (leq(n3, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (134) and (317) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (319) leq(n3, all_0_9_9) = 0
% 61.56/21.99 | (500) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (319) follows:
% 61.56/21.99 | (134) leq(n3, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (211), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (310) follows:
% 61.56/21.99 | (311) ~ (leq(n2, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (135) and (311) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (313) leq(n2, all_0_9_9) = 0
% 61.56/21.99 | (506) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (313) follows:
% 61.56/21.99 | (135) leq(n2, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (197), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (2961) follows:
% 61.56/21.99 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (139) and (2962) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/21.99 | (3187) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v3 & a_select3(r_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (2964) follows:
% 61.56/21.99 | (139) leq(n2, n2) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (199), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (274) follows:
% 61.56/21.99 | (275) ~ (leq(n5, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (132) and (275) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (277) leq(n5, all_0_9_9) = 0
% 61.56/21.99 | (512) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (277) follows:
% 61.56/21.99 | (132) leq(n5, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (215), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (334) follows:
% 61.56/21.99 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (136) and (335) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.99 | (518) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (337) follows:
% 61.56/21.99 | (136) leq(n1, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (204), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (298) follows:
% 61.56/21.99 | (299) ~ (leq(n4, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (133) and (299) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (301) leq(n4, all_0_9_9) = 0
% 61.56/21.99 | (524) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (301) follows:
% 61.56/21.99 | (133) leq(n4, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (245), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (334) follows:
% 61.56/21.99 | (335) ~ (leq(n1, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (136) and (335) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (337) leq(n1, all_0_9_9) = 0
% 61.56/21.99 | (530) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (337) follows:
% 61.56/21.99 | (136) leq(n1, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (248), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (346) follows:
% 61.56/21.99 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (137) and (347) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.99 | (536) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (349) follows:
% 61.56/21.99 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (249), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (346) follows:
% 61.56/21.99 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (137) and (347) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.56/21.99 | (542) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (143) and (349) follows:
% 61.56/21.99 | (137) leq(tptp_minus_1, n5) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (257), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (3003) follows:
% 61.56/21.99 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (141) and (3004) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.56/21.99 | (3229) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (3006) follows:
% 61.56/21.99 | (141) leq(tptp_minus_1, n2) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (221), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/21.99 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (2961) follows:
% 61.56/21.99 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/21.99 |
% 61.56/21.99 | Using (139) and (2962) yields:
% 61.56/21.99 | (276) $false
% 61.56/21.99 |
% 61.56/21.99 |-The branch is then unsatisfiable
% 61.56/21.99 |-Branch two:
% 61.56/21.99 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/21.99 | (3235) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/21.99 |
% 61.56/21.99 | From (144) and (2964) follows:
% 61.56/21.99 | (139) leq(n2, n2) = 0
% 61.56/21.99 |
% 61.56/21.99 +-Applying beta-rule and splitting (222), into two cases.
% 61.56/21.99 |-Branch one:
% 61.56/22.00 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2961) follows:
% 61.56/22.00 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (139) and (2962) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/22.00 | (3241) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2964) follows:
% 61.56/22.00 | (139) leq(n2, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (223), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2985) follows:
% 61.56/22.00 | (2986) ~ (leq(n1, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (140) and (2986) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2988) leq(n1, all_0_8_8) = 0
% 61.56/22.00 | (3247) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2988) follows:
% 61.56/22.00 | (140) leq(n1, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (205), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (143) and (298) follows:
% 61.56/22.00 | (299) ~ (leq(n4, n5) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (133) and (299) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (301) leq(n4, all_0_9_9) = 0
% 61.56/22.00 | (548) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (143) and (301) follows:
% 61.56/22.00 | (133) leq(n4, n5) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (224), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2985) follows:
% 61.56/22.00 | (2986) ~ (leq(n1, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (140) and (2986) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2988) leq(n1, all_0_8_8) = 0
% 61.56/22.00 | (3259) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2988) follows:
% 61.56/22.00 | (140) leq(n1, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (218), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (143) and (334) follows:
% 61.56/22.00 | (335) ~ (leq(n1, n5) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (136) and (335) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (337) leq(n1, all_0_9_9) = 0
% 61.56/22.00 | (554) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (143) and (337) follows:
% 61.56/22.00 | (136) leq(n1, n5) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (255), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2985) follows:
% 61.56/22.00 | (2986) ~ (leq(n1, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (140) and (2986) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2988) leq(n1, all_0_8_8) = 0
% 61.56/22.00 | (3271) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v3 & a_select3(r_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2988) follows:
% 61.56/22.00 | (140) leq(n1, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (252), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2961) follows:
% 61.56/22.00 | (2962) ~ (leq(n2, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (139) and (2962) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2964) leq(n2, all_0_8_8) = 0
% 61.56/22.00 | (3277) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v2 & a_select3(r_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2964) follows:
% 61.56/22.00 | (139) leq(n2, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (254), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2985) follows:
% 61.56/22.00 | (2986) ~ (leq(n1, n2) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (140) and (2986) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (2988) leq(n1, all_0_8_8) = 0
% 61.56/22.00 | (3283) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v2 & a_select3(r_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.00 |
% 61.56/22.00 | From (144) and (2988) follows:
% 61.56/22.00 | (140) leq(n1, n2) = 0
% 61.56/22.00 |
% 61.56/22.00 +-Applying beta-rule and splitting (200), into two cases.
% 61.56/22.00 |-Branch one:
% 61.56/22.00 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/22.00 |
% 61.56/22.00 | From (143) and (274) follows:
% 61.56/22.00 | (275) ~ (leq(n5, n5) = 0)
% 61.56/22.00 |
% 61.56/22.00 | Using (132) and (275) yields:
% 61.56/22.00 | (276) $false
% 61.56/22.00 |
% 61.56/22.00 |-The branch is then unsatisfiable
% 61.56/22.00 |-Branch two:
% 61.56/22.00 | (277) leq(n5, all_0_9_9) = 0
% 61.56/22.01 | (560) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (277) follows:
% 61.56/22.01 | (132) leq(n5, n5) = 0
% 61.56/22.01 |
% 61.56/22.01 +-Applying beta-rule and splitting (169), into two cases.
% 61.56/22.01 |-Branch one:
% 61.56/22.01 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (298) follows:
% 61.56/22.01 | (299) ~ (leq(n4, n5) = 0)
% 61.56/22.01 |
% 61.56/22.01 | Using (133) and (299) yields:
% 61.56/22.01 | (276) $false
% 61.56/22.01 |
% 61.56/22.01 |-The branch is then unsatisfiable
% 61.56/22.01 |-Branch two:
% 61.56/22.01 | (301) leq(n4, all_0_9_9) = 0
% 61.56/22.01 | (566) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (301) follows:
% 61.56/22.01 | (133) leq(n4, n5) = 0
% 61.56/22.01 |
% 61.56/22.01 +-Applying beta-rule and splitting (170), into two cases.
% 61.56/22.01 |-Branch one:
% 61.56/22.01 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (298) follows:
% 61.56/22.01 | (299) ~ (leq(n4, n5) = 0)
% 61.56/22.01 |
% 61.56/22.01 | Using (133) and (299) yields:
% 61.56/22.01 | (276) $false
% 61.56/22.01 |
% 61.56/22.01 |-The branch is then unsatisfiable
% 61.56/22.01 |-Branch two:
% 61.56/22.01 | (301) leq(n4, all_0_9_9) = 0
% 61.56/22.01 | (572) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (301) follows:
% 61.56/22.01 | (133) leq(n4, n5) = 0
% 61.56/22.01 |
% 61.56/22.01 +-Applying beta-rule and splitting (163), into two cases.
% 61.56/22.01 |-Branch one:
% 61.56/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (274) follows:
% 61.56/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.56/22.01 |
% 61.56/22.01 | Using (132) and (275) yields:
% 61.56/22.01 | (276) $false
% 61.56/22.01 |
% 61.56/22.01 |-The branch is then unsatisfiable
% 61.56/22.01 |-Branch two:
% 61.56/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.56/22.01 | (578) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (277) follows:
% 61.56/22.01 | (132) leq(n5, n5) = 0
% 61.56/22.01 |
% 61.56/22.01 +-Applying beta-rule and splitting (164), into two cases.
% 61.56/22.01 |-Branch one:
% 61.56/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.56/22.01 |
% 61.56/22.01 | From (143) and (274) follows:
% 61.56/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.56/22.01 |
% 61.56/22.01 | Using (132) and (275) yields:
% 61.56/22.01 | (276) $false
% 61.56/22.01 |
% 61.56/22.01 |-The branch is then unsatisfiable
% 61.56/22.01 |-Branch two:
% 61.56/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.56/22.01 | (584) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (173), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (316) follows:
% 61.85/22.01 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (134) and (317) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.01 | (590) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (319) follows:
% 61.85/22.01 | (134) leq(n3, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (174), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (316) follows:
% 61.85/22.01 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (134) and (317) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.01 | (596) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (319) follows:
% 61.85/22.01 | (134) leq(n3, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (165), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (602) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (149), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (608) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (167), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (298) follows:
% 61.85/22.01 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (133) and (299) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.01 | (614) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (301) follows:
% 61.85/22.01 | (133) leq(n4, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (201), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (620) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (202), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (626) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (150), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (632) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (147), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (638) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (166), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (274) follows:
% 61.85/22.01 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (132) and (275) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.01 | (644) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (277) follows:
% 61.85/22.01 | (132) leq(n5, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (168), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (298) follows:
% 61.85/22.01 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (133) and (299) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.01 | (650) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (301) follows:
% 61.85/22.01 | (133) leq(n4, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (157), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (298) follows:
% 61.85/22.01 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (133) and (299) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.01 | (656) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (301) follows:
% 61.85/22.01 | (133) leq(n4, n5) = 0
% 61.85/22.01 |
% 61.85/22.01 +-Applying beta-rule and splitting (171), into two cases.
% 61.85/22.01 |-Branch one:
% 61.85/22.01 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (316) follows:
% 61.85/22.01 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.01 |
% 61.85/22.01 | Using (134) and (317) yields:
% 61.85/22.01 | (276) $false
% 61.85/22.01 |
% 61.85/22.01 |-The branch is then unsatisfiable
% 61.85/22.01 |-Branch two:
% 61.85/22.01 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.01 | (662) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.01 |
% 61.85/22.01 | From (143) and (319) follows:
% 61.85/22.01 | (134) leq(n3, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (158), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (668) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (172), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (316) follows:
% 61.85/22.02 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (134) and (317) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.02 | (674) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (319) follows:
% 61.85/22.02 | (134) leq(n3, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (203), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (680) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (206), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (686) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (207), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (316) follows:
% 61.85/22.02 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (134) and (317) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.02 | (692) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (319) follows:
% 61.85/22.02 | (134) leq(n3, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (226), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (698) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (153), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (704) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (154), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (710) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (155), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (716) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (156), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (722) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (159), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (728) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (160), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (734) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (227), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (740) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (228), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (746) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (148), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (752) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (229), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (274) follows:
% 61.85/22.02 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (132) and (275) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.02 | (758) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (277) follows:
% 61.85/22.02 | (132) leq(n5, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (232), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (764) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.02 | (133) leq(n4, n5) = 0
% 61.85/22.02 |
% 61.85/22.02 +-Applying beta-rule and splitting (230), into two cases.
% 61.85/22.02 |-Branch one:
% 61.85/22.02 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (298) follows:
% 61.85/22.02 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.02 |
% 61.85/22.02 | Using (133) and (299) yields:
% 61.85/22.02 | (276) $false
% 61.85/22.02 |
% 61.85/22.02 |-The branch is then unsatisfiable
% 61.85/22.02 |-Branch two:
% 61.85/22.02 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.02 | (770) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.02 |
% 61.85/22.02 | From (143) and (301) follows:
% 61.85/22.03 | (133) leq(n4, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (231), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (298) follows:
% 61.85/22.03 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (133) and (299) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.03 | (776) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (301) follows:
% 61.85/22.03 | (133) leq(n4, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (233), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (298) follows:
% 61.85/22.03 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (133) and (299) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.03 | (782) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (301) follows:
% 61.85/22.03 | (133) leq(n4, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (179), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (274) follows:
% 61.85/22.03 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (132) and (275) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.03 | (788) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (277) follows:
% 61.85/22.03 | (132) leq(n5, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (180), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (274) follows:
% 61.85/22.03 | (275) ~ (leq(n5, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (132) and (275) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (277) leq(n5, all_0_9_9) = 0
% 61.85/22.03 | (794) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (189), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (316) follows:
% 61.85/22.03 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (134) and (317) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.03 | (800) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (319) follows:
% 61.85/22.03 | (134) leq(n3, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (190), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (310) follows:
% 61.85/22.03 | (311) ~ (leq(n2, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (135) and (311) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (313) leq(n2, all_0_9_9) = 0
% 61.85/22.03 | (806) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (313) follows:
% 61.85/22.03 | (135) leq(n2, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (185), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (298) follows:
% 61.85/22.03 | (299) ~ (leq(n4, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (133) and (299) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (301) leq(n4, all_0_9_9) = 0
% 61.85/22.03 | (812) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (186), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (316) follows:
% 61.85/22.03 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (134) and (317) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.03 | (818) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (319) follows:
% 61.85/22.03 | (134) leq(n3, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (187), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (316) follows:
% 61.85/22.03 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (134) and (317) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.03 | (824) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (319) follows:
% 61.85/22.03 | (134) leq(n3, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (188), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (316) follows:
% 61.85/22.03 | (317) ~ (leq(n3, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (134) and (317) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (319) leq(n3, all_0_9_9) = 0
% 61.85/22.03 | (830) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (191), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (310) follows:
% 61.85/22.03 | (311) ~ (leq(n2, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (135) and (311) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (313) leq(n2, all_0_9_9) = 0
% 61.85/22.03 | (836) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (313) follows:
% 61.85/22.03 | (135) leq(n2, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (192), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (310) follows:
% 61.85/22.03 | (311) ~ (leq(n2, n5) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (135) and (311) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (313) leq(n2, all_0_9_9) = 0
% 61.85/22.03 | (842) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (143) and (313) follows:
% 61.85/22.03 | (135) leq(n2, n5) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (3031), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (144) and (3021) follows:
% 61.85/22.03 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (142) and (3022) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.03 | (3574) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | From (144) and (3024) follows:
% 61.85/22.03 | (142) leq(n0, n2) = 0
% 61.85/22.03 |
% 61.85/22.03 +-Applying beta-rule and splitting (3037), into two cases.
% 61.85/22.03 |-Branch one:
% 61.85/22.03 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.03 |
% 61.85/22.03 | From (144) and (3021) follows:
% 61.85/22.03 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.03 |
% 61.85/22.03 | Using (142) and (3022) yields:
% 61.85/22.03 | (276) $false
% 61.85/22.03 |
% 61.85/22.03 |-The branch is then unsatisfiable
% 61.85/22.03 |-Branch two:
% 61.85/22.03 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.03 | (3580) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v3 & a_select3(r_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.03 |
% 61.85/22.03 | Instantiating (3580) with all_494_0_820, all_494_1_821, all_494_2_822, all_494_3_823 yields:
% 61.85/22.03 | (3581) a_select3(r_ds1_filter, n2, n0) = all_494_0_820 & a_select3(r_ds1_filter, n0, n2) = all_494_1_821 & leq(n0, n2) = all_494_2_822 & leq(n0, n0) = all_494_3_823 & ( ~ (all_494_2_822 = 0) | ~ (all_494_3_823 = 0) | all_494_0_820 = all_494_1_821)
% 61.85/22.04 |
% 61.85/22.04 | Applying alpha-rule on (3581) yields:
% 61.85/22.04 | (3582) leq(n0, n2) = all_494_2_822
% 61.85/22.04 | (3583) a_select3(r_ds1_filter, n0, n2) = all_494_1_821
% 61.85/22.04 | (3584) a_select3(r_ds1_filter, n2, n0) = all_494_0_820
% 61.85/22.04 | (3585) leq(n0, n0) = all_494_3_823
% 61.85/22.04 | (3586) ~ (all_494_2_822 = 0) | ~ (all_494_3_823 = 0) | all_494_0_820 = all_494_1_821
% 61.85/22.04 |
% 61.85/22.04 | From (144) and (3024) follows:
% 61.85/22.04 | (142) leq(n0, n2) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (374), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (358) follows:
% 61.85/22.04 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (138) and (359) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.04 | (878) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (361) follows:
% 61.85/22.04 | (138) leq(n0, n5) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (380), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (358) follows:
% 61.85/22.04 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (138) and (359) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.04 | (884) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (361) follows:
% 61.85/22.04 | (138) leq(n0, n5) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (386), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (346) follows:
% 61.85/22.04 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (137) and (347) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.04 | (890) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | Instantiating (890) with all_509_0_832, all_509_1_833, all_509_2_834, all_509_3_835 yields:
% 61.85/22.04 | (3605) a_select3(q_ds1_filter, n2, tptp_minus_1) = all_509_0_832 & a_select3(q_ds1_filter, tptp_minus_1, n2) = all_509_1_833 & leq(n0, n2) = all_509_2_834 & leq(n0, tptp_minus_1) = all_509_3_835 & ( ~ (all_509_2_834 = 0) | ~ (all_509_3_835 = 0) | all_509_0_832 = all_509_1_833)
% 61.85/22.04 |
% 61.85/22.04 | Applying alpha-rule on (3605) yields:
% 61.85/22.04 | (3606) a_select3(q_ds1_filter, tptp_minus_1, n2) = all_509_1_833
% 61.85/22.04 | (3607) leq(n0, n2) = all_509_2_834
% 61.85/22.04 | (3608) leq(n0, tptp_minus_1) = all_509_3_835
% 61.85/22.04 | (3609) ~ (all_509_2_834 = 0) | ~ (all_509_3_835 = 0) | all_509_0_832 = all_509_1_833
% 61.85/22.04 | (3610) a_select3(q_ds1_filter, n2, tptp_minus_1) = all_509_0_832
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (349) follows:
% 61.85/22.04 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (392), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (334) follows:
% 61.85/22.04 | (335) ~ (leq(n1, n5) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (136) and (335) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (337) leq(n1, all_0_9_9) = 0
% 61.85/22.04 | (896) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | Instantiating (896) with all_514_0_836, all_514_1_837, all_514_2_838, all_514_3_839 yields:
% 61.85/22.04 | (3617) a_select3(q_ds1_filter, n2, n1) = all_514_0_836 & a_select3(q_ds1_filter, n1, n2) = all_514_1_837 & leq(n0, n2) = all_514_2_838 & leq(n0, n1) = all_514_3_839 & ( ~ (all_514_2_838 = 0) | ~ (all_514_3_839 = 0) | all_514_0_836 = all_514_1_837)
% 61.85/22.04 |
% 61.85/22.04 | Applying alpha-rule on (3617) yields:
% 61.85/22.04 | (3618) ~ (all_514_2_838 = 0) | ~ (all_514_3_839 = 0) | all_514_0_836 = all_514_1_837
% 61.85/22.04 | (3619) a_select3(q_ds1_filter, n1, n2) = all_514_1_837
% 61.85/22.04 | (3620) leq(n0, n2) = all_514_2_838
% 61.85/22.04 | (3621) leq(n0, n1) = all_514_3_839
% 61.85/22.04 | (3622) a_select3(q_ds1_filter, n2, n1) = all_514_0_836
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (337) follows:
% 61.85/22.04 | (136) leq(n1, n5) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (3067), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (144) and (2985) follows:
% 61.85/22.04 | (2986) ~ (leq(n1, n2) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (140) and (2986) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (2988) leq(n1, all_0_8_8) = 0
% 61.85/22.04 | (3628) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v2 & a_select3(r_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | Instantiating (3628) with all_519_0_840, all_519_1_841, all_519_2_842, all_519_3_843 yields:
% 61.85/22.04 | (3629) a_select3(r_ds1_filter, n2, n1) = all_519_1_841 & a_select3(r_ds1_filter, n1, n2) = all_519_0_840 & leq(n0, n2) = all_519_3_843 & leq(n0, n1) = all_519_2_842 & ( ~ (all_519_2_842 = 0) | ~ (all_519_3_843 = 0) | all_519_0_840 = all_519_1_841)
% 61.85/22.04 |
% 61.85/22.04 | Applying alpha-rule on (3629) yields:
% 61.85/22.04 | (3630) a_select3(r_ds1_filter, n1, n2) = all_519_0_840
% 61.85/22.04 | (3631) leq(n0, n2) = all_519_3_843
% 61.85/22.04 | (3632) a_select3(r_ds1_filter, n2, n1) = all_519_1_841
% 61.85/22.04 | (3633) leq(n0, n1) = all_519_2_842
% 61.85/22.04 | (3634) ~ (all_519_2_842 = 0) | ~ (all_519_3_843 = 0) | all_519_0_840 = all_519_1_841
% 61.85/22.04 |
% 61.85/22.04 | From (144) and (2988) follows:
% 61.85/22.04 | (140) leq(n1, n2) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (398), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (358) follows:
% 61.85/22.04 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.04 |
% 61.85/22.04 | Using (138) and (359) yields:
% 61.85/22.04 | (276) $false
% 61.85/22.04 |
% 61.85/22.04 |-The branch is then unsatisfiable
% 61.85/22.04 |-Branch two:
% 61.85/22.04 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.04 | (902) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (361) follows:
% 61.85/22.04 | (138) leq(n0, n5) = 0
% 61.85/22.04 |
% 61.85/22.04 +-Applying beta-rule and splitting (404), into two cases.
% 61.85/22.04 |-Branch one:
% 61.85/22.04 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.04 |
% 61.85/22.04 | From (143) and (358) follows:
% 61.85/22.04 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.04 |
% 61.85/22.05 | Using (138) and (359) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.05 | (908) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (361) follows:
% 61.85/22.05 | (138) leq(n0, n5) = 0
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (410), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (358) follows:
% 61.85/22.05 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.05 |
% 61.85/22.05 | Using (138) and (359) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.05 | (914) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | Instantiating (914) with all_534_0_852, all_534_1_853, all_534_2_854, all_534_3_855 yields:
% 61.85/22.05 | (3653) a_select3(q_ds1_filter, n2, n0) = all_534_1_853 & a_select3(q_ds1_filter, n0, n2) = all_534_0_852 & leq(n0, n2) = all_534_3_855 & leq(n0, n0) = all_534_2_854 & ( ~ (all_534_2_854 = 0) | ~ (all_534_3_855 = 0) | all_534_0_852 = all_534_1_853)
% 61.85/22.05 |
% 61.85/22.05 | Applying alpha-rule on (3653) yields:
% 61.85/22.05 | (3654) a_select3(q_ds1_filter, n0, n2) = all_534_0_852
% 61.85/22.05 | (3655) ~ (all_534_2_854 = 0) | ~ (all_534_3_855 = 0) | all_534_0_852 = all_534_1_853
% 61.85/22.05 | (3656) a_select3(q_ds1_filter, n2, n0) = all_534_1_853
% 61.85/22.05 | (3657) leq(n0, n0) = all_534_2_854
% 61.85/22.05 | (3658) leq(n0, n2) = all_534_3_855
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (361) follows:
% 61.85/22.05 | (138) leq(n0, n5) = 0
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (416), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (358) follows:
% 61.85/22.05 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.05 |
% 61.85/22.05 | Using (138) and (359) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.05 | (920) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | Instantiating (920) with all_539_0_856, all_539_1_857, all_539_2_858, all_539_3_859 yields:
% 61.85/22.05 | (3665) a_select3(pminus_ds1_filter, n2, n0) = all_539_1_857 & a_select3(pminus_ds1_filter, n0, n2) = all_539_0_856 & leq(n0, n2) = all_539_3_859 & leq(n0, n0) = all_539_2_858 & ( ~ (all_539_2_858 = 0) | ~ (all_539_3_859 = 0) | all_539_0_856 = all_539_1_857)
% 61.85/22.05 |
% 61.85/22.05 | Applying alpha-rule on (3665) yields:
% 61.85/22.05 | (3666) leq(n0, n2) = all_539_3_859
% 61.85/22.05 | (3667) leq(n0, n0) = all_539_2_858
% 61.85/22.05 | (3668) a_select3(pminus_ds1_filter, n2, n0) = all_539_1_857
% 61.85/22.05 | (3669) ~ (all_539_2_858 = 0) | ~ (all_539_3_859 = 0) | all_539_0_856 = all_539_1_857
% 61.85/22.05 | (3670) a_select3(pminus_ds1_filter, n0, n2) = all_539_0_856
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (361) follows:
% 61.85/22.05 | (138) leq(n0, n5) = 0
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (422), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (358) follows:
% 61.85/22.05 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.05 |
% 61.85/22.05 | Using (138) and (359) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.05 | (926) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | Instantiating (926) with all_544_0_860, all_544_1_861, all_544_2_862, all_544_3_863 yields:
% 61.85/22.05 | (3677) a_select3(pminus_ds1_filter, n2, n0) = all_544_0_860 & a_select3(pminus_ds1_filter, n0, n2) = all_544_1_861 & leq(n0, n2) = all_544_2_862 & leq(n0, n0) = all_544_3_863 & ( ~ (all_544_2_862 = 0) | ~ (all_544_3_863 = 0) | all_544_0_860 = all_544_1_861)
% 61.85/22.05 |
% 61.85/22.05 | Applying alpha-rule on (3677) yields:
% 61.85/22.05 | (3678) ~ (all_544_2_862 = 0) | ~ (all_544_3_863 = 0) | all_544_0_860 = all_544_1_861
% 61.85/22.05 | (3679) a_select3(pminus_ds1_filter, n0, n2) = all_544_1_861
% 61.85/22.05 | (3680) a_select3(pminus_ds1_filter, n2, n0) = all_544_0_860
% 61.85/22.05 | (3681) leq(n0, n0) = all_544_3_863
% 61.85/22.05 | (3682) leq(n0, n2) = all_544_2_862
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (361) follows:
% 61.85/22.05 | (138) leq(n0, n5) = 0
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (428), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (346) follows:
% 61.85/22.05 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.05 |
% 61.85/22.05 | Using (137) and (347) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.05 | (932) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | Instantiating (932) with all_549_0_864, all_549_1_865, all_549_2_866, all_549_3_867 yields:
% 61.85/22.05 | (3689) a_select3(pminus_ds1_filter, n2, tptp_minus_1) = all_549_0_864 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = all_549_1_865 & leq(n0, n2) = all_549_2_866 & leq(n0, tptp_minus_1) = all_549_3_867 & ( ~ (all_549_2_866 = 0) | ~ (all_549_3_867 = 0) | all_549_0_864 = all_549_1_865)
% 61.85/22.05 |
% 61.85/22.05 | Applying alpha-rule on (3689) yields:
% 61.85/22.05 | (3690) leq(n0, n2) = all_549_2_866
% 61.85/22.05 | (3691) a_select3(pminus_ds1_filter, tptp_minus_1, n2) = all_549_1_865
% 61.85/22.05 | (3692) ~ (all_549_2_866 = 0) | ~ (all_549_3_867 = 0) | all_549_0_864 = all_549_1_865
% 61.85/22.05 | (3693) leq(n0, tptp_minus_1) = all_549_3_867
% 61.85/22.05 | (3694) a_select3(pminus_ds1_filter, n2, tptp_minus_1) = all_549_0_864
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (349) follows:
% 61.85/22.05 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (434), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (358) follows:
% 61.85/22.05 | (359) ~ (leq(n0, n5) = 0)
% 61.85/22.05 |
% 61.85/22.05 | Using (138) and (359) yields:
% 61.85/22.05 | (276) $false
% 61.85/22.05 |
% 61.85/22.05 |-The branch is then unsatisfiable
% 61.85/22.05 |-Branch two:
% 61.85/22.05 | (361) leq(n0, all_0_9_9) = 0
% 61.85/22.05 | (938) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.05 |
% 61.85/22.05 | Instantiating (938) with all_554_0_868, all_554_1_869, all_554_2_870, all_554_3_871 yields:
% 61.85/22.05 | (3701) a_select3(q_ds1_filter, n2, n0) = all_554_0_868 & a_select3(q_ds1_filter, n0, n2) = all_554_1_869 & leq(n0, n2) = all_554_2_870 & leq(n0, n0) = all_554_3_871 & ( ~ (all_554_2_870 = 0) | ~ (all_554_3_871 = 0) | all_554_0_868 = all_554_1_869)
% 61.85/22.05 |
% 61.85/22.05 | Applying alpha-rule on (3701) yields:
% 61.85/22.05 | (3702) ~ (all_554_2_870 = 0) | ~ (all_554_3_871 = 0) | all_554_0_868 = all_554_1_869
% 61.85/22.05 | (3703) leq(n0, n0) = all_554_3_871
% 61.85/22.05 | (3704) a_select3(q_ds1_filter, n2, n0) = all_554_0_868
% 61.85/22.05 | (3705) leq(n0, n2) = all_554_2_870
% 61.85/22.05 | (3706) a_select3(q_ds1_filter, n0, n2) = all_554_1_869
% 61.85/22.05 |
% 61.85/22.05 +-Applying beta-rule and splitting (470), into two cases.
% 61.85/22.05 |-Branch one:
% 61.85/22.05 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.05 |
% 61.85/22.05 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (974) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | Instantiating (974) with all_584_0_892, all_584_1_893, all_584_2_894, all_584_3_895 yields:
% 61.85/22.06 | (3712) a_select3(q_ds1_filter, n2, tptp_minus_1) = all_584_1_893 & a_select3(q_ds1_filter, tptp_minus_1, n2) = all_584_0_892 & leq(n0, n2) = all_584_3_895 & leq(n0, tptp_minus_1) = all_584_2_894 & ( ~ (all_584_2_894 = 0) | ~ (all_584_3_895 = 0) | all_584_0_892 = all_584_1_893)
% 61.85/22.06 |
% 61.85/22.06 | Applying alpha-rule on (3712) yields:
% 61.85/22.06 | (3713) leq(n0, n2) = all_584_3_895
% 61.85/22.06 | (3714) a_select3(q_ds1_filter, n2, tptp_minus_1) = all_584_1_893
% 61.85/22.06 | (3715) ~ (all_584_2_894 = 0) | ~ (all_584_3_895 = 0) | all_584_0_892 = all_584_1_893
% 61.85/22.06 | (3716) leq(n0, tptp_minus_1) = all_584_2_894
% 61.85/22.06 | (3717) a_select3(q_ds1_filter, tptp_minus_1, n2) = all_584_0_892
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (476), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (980) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (482), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (986) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (488), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (992) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (494), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (998) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (500), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (1004) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (349) follows:
% 61.85/22.06 | (137) leq(tptp_minus_1, n5) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (506), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (143) and (346) follows:
% 61.85/22.06 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (137) and (347) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 61.85/22.06 | (1010) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | Instantiating (1010) with all_614_0_916, all_614_1_917, all_614_2_918, all_614_3_919 yields:
% 61.85/22.06 | (3754) a_select3(pminus_ds1_filter, n2, tptp_minus_1) = all_614_1_917 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = all_614_0_916 & leq(n0, n2) = all_614_3_919 & leq(n0, tptp_minus_1) = all_614_2_918 & ( ~ (all_614_2_918 = 0) | ~ (all_614_3_919 = 0) | all_614_0_916 = all_614_1_917)
% 61.85/22.06 |
% 61.85/22.06 | Applying alpha-rule on (3754) yields:
% 61.85/22.06 | (3755) leq(n0, tptp_minus_1) = all_614_2_918
% 61.85/22.06 | (3756) leq(n0, n2) = all_614_3_919
% 61.85/22.06 | (3757) a_select3(pminus_ds1_filter, n2, tptp_minus_1) = all_614_1_917
% 61.85/22.06 | (3758) ~ (all_614_2_918 = 0) | ~ (all_614_3_919 = 0) | all_614_0_916 = all_614_1_917
% 61.85/22.06 | (3759) a_select3(pminus_ds1_filter, tptp_minus_1, n2) = all_614_0_916
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (3187), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (144) and (2985) follows:
% 61.85/22.06 | (2986) ~ (leq(n1, n2) = 0)
% 61.85/22.06 |
% 61.85/22.06 | Using (140) and (2986) yields:
% 61.85/22.06 | (276) $false
% 61.85/22.06 |
% 61.85/22.06 |-The branch is then unsatisfiable
% 61.85/22.06 |-Branch two:
% 61.85/22.06 | (2988) leq(n1, all_0_8_8) = 0
% 61.85/22.06 | (3764) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n1) = v3 & a_select3(r_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.06 |
% 61.85/22.06 | Instantiating (3764) with all_619_0_920, all_619_1_921, all_619_2_922, all_619_3_923 yields:
% 61.85/22.06 | (3765) a_select3(r_ds1_filter, n2, n1) = all_619_0_920 & a_select3(r_ds1_filter, n1, n2) = all_619_1_921 & leq(n0, n2) = all_619_2_922 & leq(n0, n1) = all_619_3_923 & ( ~ (all_619_2_922 = 0) | ~ (all_619_3_923 = 0) | all_619_0_920 = all_619_1_921)
% 61.85/22.06 |
% 61.85/22.06 | Applying alpha-rule on (3765) yields:
% 61.85/22.06 | (3766) leq(n0, n2) = all_619_2_922
% 61.85/22.06 | (3767) ~ (all_619_2_922 = 0) | ~ (all_619_3_923 = 0) | all_619_0_920 = all_619_1_921
% 61.85/22.06 | (3768) a_select3(r_ds1_filter, n1, n2) = all_619_1_921
% 61.85/22.06 | (3769) leq(n0, n1) = all_619_3_923
% 61.85/22.06 | (3770) a_select3(r_ds1_filter, n2, n1) = all_619_0_920
% 61.85/22.06 |
% 61.85/22.06 | From (144) and (2988) follows:
% 61.85/22.06 | (140) leq(n1, n2) = 0
% 61.85/22.06 |
% 61.85/22.06 +-Applying beta-rule and splitting (3229), into two cases.
% 61.85/22.06 |-Branch one:
% 61.85/22.06 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.06 |
% 61.85/22.06 | From (144) and (3021) follows:
% 61.85/22.06 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.06 |
% 61.85/22.07 | Using (142) and (3022) yields:
% 61.85/22.07 | (276) $false
% 61.85/22.07 |
% 61.85/22.07 |-The branch is then unsatisfiable
% 61.85/22.07 |-Branch two:
% 61.85/22.07 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.07 | (3776) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(r_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3024) follows:
% 61.85/22.07 | (142) leq(n0, n2) = 0
% 61.85/22.07 |
% 61.85/22.07 +-Applying beta-rule and splitting (3235), into two cases.
% 61.85/22.07 |-Branch one:
% 61.85/22.07 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3003) follows:
% 61.85/22.07 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.85/22.07 |
% 61.85/22.07 | Using (141) and (3004) yields:
% 61.85/22.07 | (276) $false
% 61.85/22.07 |
% 61.85/22.07 |-The branch is then unsatisfiable
% 61.85/22.07 |-Branch two:
% 61.85/22.07 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.85/22.07 | (3782) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.07 |
% 61.85/22.07 | Instantiating (3782) with all_659_0_952, all_659_1_953, all_659_2_954, all_659_3_955 yields:
% 61.85/22.07 | (3783) a_select3(r_ds1_filter, n2, tptp_minus_1) = all_659_1_953 & a_select3(r_ds1_filter, tptp_minus_1, n2) = all_659_0_952 & leq(n0, n2) = all_659_3_955 & leq(n0, tptp_minus_1) = all_659_2_954 & ( ~ (all_659_2_954 = 0) | ~ (all_659_3_955 = 0) | all_659_0_952 = all_659_1_953)
% 61.85/22.07 |
% 61.85/22.07 | Applying alpha-rule on (3783) yields:
% 61.85/22.07 | (3784) a_select3(r_ds1_filter, tptp_minus_1, n2) = all_659_0_952
% 61.85/22.07 | (3785) ~ (all_659_2_954 = 0) | ~ (all_659_3_955 = 0) | all_659_0_952 = all_659_1_953
% 61.85/22.07 | (3786) leq(n0, n2) = all_659_3_955
% 61.85/22.07 | (3787) a_select3(r_ds1_filter, n2, tptp_minus_1) = all_659_1_953
% 61.85/22.07 | (3788) leq(n0, tptp_minus_1) = all_659_2_954
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3006) follows:
% 61.85/22.07 | (141) leq(tptp_minus_1, n2) = 0
% 61.85/22.07 |
% 61.85/22.07 +-Applying beta-rule and splitting (3241), into two cases.
% 61.85/22.07 |-Branch one:
% 61.85/22.07 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3003) follows:
% 61.85/22.07 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.85/22.07 |
% 61.85/22.07 | Using (141) and (3004) yields:
% 61.85/22.07 | (276) $false
% 61.85/22.07 |
% 61.85/22.07 |-The branch is then unsatisfiable
% 61.85/22.07 |-Branch two:
% 61.85/22.07 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.85/22.07 | (3794) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.07 |
% 61.85/22.07 | Instantiating (3794) with all_664_0_956, all_664_1_957, all_664_2_958, all_664_3_959 yields:
% 61.85/22.07 | (3795) a_select3(r_ds1_filter, n2, tptp_minus_1) = all_664_0_956 & a_select3(r_ds1_filter, tptp_minus_1, n2) = all_664_1_957 & leq(n0, n2) = all_664_2_958 & leq(n0, tptp_minus_1) = all_664_3_959 & ( ~ (all_664_2_958 = 0) | ~ (all_664_3_959 = 0) | all_664_0_956 = all_664_1_957)
% 61.85/22.07 |
% 61.85/22.07 | Applying alpha-rule on (3795) yields:
% 61.85/22.07 | (3796) leq(n0, tptp_minus_1) = all_664_3_959
% 61.85/22.07 | (3797) a_select3(r_ds1_filter, tptp_minus_1, n2) = all_664_1_957
% 61.85/22.07 | (3798) leq(n0, n2) = all_664_2_958
% 61.85/22.07 | (3799) a_select3(r_ds1_filter, n2, tptp_minus_1) = all_664_0_956
% 61.85/22.07 | (3800) ~ (all_664_2_958 = 0) | ~ (all_664_3_959 = 0) | all_664_0_956 = all_664_1_957
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3006) follows:
% 61.85/22.07 | (141) leq(tptp_minus_1, n2) = 0
% 61.85/22.07 |
% 61.85/22.07 +-Applying beta-rule and splitting (3247), into two cases.
% 61.85/22.07 |-Branch one:
% 61.85/22.07 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3003) follows:
% 61.85/22.07 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.85/22.07 |
% 61.85/22.07 | Using (141) and (3004) yields:
% 61.85/22.07 | (276) $false
% 61.85/22.07 |
% 61.85/22.07 |-The branch is then unsatisfiable
% 61.85/22.07 |-Branch two:
% 61.85/22.07 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.85/22.07 | (3806) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3006) follows:
% 61.85/22.07 | (141) leq(tptp_minus_1, n2) = 0
% 61.85/22.07 |
% 61.85/22.07 +-Applying beta-rule and splitting (3259), into two cases.
% 61.85/22.07 |-Branch one:
% 61.85/22.07 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3003) follows:
% 61.85/22.07 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 61.85/22.07 |
% 61.85/22.07 | Using (141) and (3004) yields:
% 61.85/22.07 | (276) $false
% 61.85/22.07 |
% 61.85/22.07 |-The branch is then unsatisfiable
% 61.85/22.07 |-Branch two:
% 61.85/22.07 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 61.85/22.07 | (3812) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.07 |
% 61.85/22.07 | From (144) and (3006) follows:
% 61.85/22.07 | (141) leq(tptp_minus_1, n2) = 0
% 61.85/22.07 |
% 61.85/22.07 +-Applying beta-rule and splitting (3271), into two cases.
% 61.85/22.07 |-Branch one:
% 61.85/22.07 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.07 |
% 61.85/22.08 | From (144) and (3021) follows:
% 61.85/22.08 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.08 |
% 61.85/22.08 | Using (142) and (3022) yields:
% 61.85/22.08 | (276) $false
% 61.85/22.08 |
% 61.85/22.08 |-The branch is then unsatisfiable
% 61.85/22.08 |-Branch two:
% 61.85/22.08 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.08 | (3818) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v3 & a_select3(r_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.08 |
% 61.85/22.08 | From (144) and (3024) follows:
% 61.85/22.08 | (142) leq(n0, n2) = 0
% 61.85/22.08 |
% 61.85/22.08 +-Applying beta-rule and splitting (3277), into two cases.
% 61.85/22.08 |-Branch one:
% 61.85/22.08 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.08 |
% 61.85/22.08 | From (144) and (3021) follows:
% 61.85/22.08 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.08 |
% 61.85/22.08 | Using (142) and (3022) yields:
% 61.85/22.08 | (276) $false
% 61.85/22.08 |
% 61.85/22.08 |-The branch is then unsatisfiable
% 61.85/22.08 |-Branch two:
% 61.85/22.08 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.08 | (3824) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n2, n0) = v2 & a_select3(r_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.08 |
% 61.85/22.08 | Instantiating (3824) with all_694_0_980, all_694_1_981, all_694_2_982, all_694_3_983 yields:
% 61.85/22.08 | (3825) a_select3(r_ds1_filter, n2, n0) = all_694_1_981 & a_select3(r_ds1_filter, n0, n2) = all_694_0_980 & leq(n0, n2) = all_694_3_983 & leq(n0, n0) = all_694_2_982 & ( ~ (all_694_2_982 = 0) | ~ (all_694_3_983 = 0) | all_694_0_980 = all_694_1_981)
% 61.85/22.08 |
% 61.85/22.08 | Applying alpha-rule on (3825) yields:
% 61.85/22.08 | (3826) leq(n0, n0) = all_694_2_982
% 61.85/22.08 | (3827) a_select3(r_ds1_filter, n0, n2) = all_694_0_980
% 61.85/22.08 | (3828) ~ (all_694_2_982 = 0) | ~ (all_694_3_983 = 0) | all_694_0_980 = all_694_1_981
% 61.85/22.08 | (3829) a_select3(r_ds1_filter, n2, n0) = all_694_1_981
% 61.85/22.08 | (3830) leq(n0, n2) = all_694_3_983
% 61.85/22.08 |
% 61.85/22.08 | From (144) and (3024) follows:
% 61.85/22.08 | (142) leq(n0, n2) = 0
% 61.85/22.08 |
% 61.85/22.08 +-Applying beta-rule and splitting (3283), into two cases.
% 61.85/22.08 |-Branch one:
% 61.85/22.08 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 61.85/22.08 |
% 61.85/22.08 | From (144) and (3021) follows:
% 61.85/22.08 | (3022) ~ (leq(n0, n2) = 0)
% 61.85/22.08 |
% 61.85/22.08 | Using (142) and (3022) yields:
% 61.85/22.08 | (276) $false
% 61.85/22.08 |
% 61.85/22.08 |-The branch is then unsatisfiable
% 61.85/22.08 |-Branch two:
% 61.85/22.08 | (3024) leq(n0, all_0_8_8) = 0
% 61.85/22.08 | (3836) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, n1, n0) = v2 & a_select3(r_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.08 |
% 61.85/22.08 | From (144) and (3024) follows:
% 61.85/22.08 | (142) leq(n0, n2) = 0
% 61.85/22.08 |
% 61.85/22.08 +-Applying beta-rule and splitting (566), into two cases.
% 61.85/22.08 |-Branch one:
% 61.85/22.08 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 61.85/22.08 |
% 61.85/22.08 | From (143) and (310) follows:
% 61.85/22.08 | (311) ~ (leq(n2, n5) = 0)
% 61.85/22.08 |
% 61.85/22.08 | Using (135) and (311) yields:
% 61.85/22.08 | (276) $false
% 61.85/22.08 |
% 61.85/22.08 |-The branch is then unsatisfiable
% 61.85/22.08 |-Branch two:
% 61.85/22.08 | (313) leq(n2, all_0_9_9) = 0
% 61.85/22.08 | (1082) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 61.85/22.08 |
% 61.85/22.08 | Instantiating (1082) with all_709_0_992, all_709_1_993, all_709_2_994, all_709_3_995 yields:
% 61.85/22.08 | (3843) a_select3(q_ds1_filter, n4, n2) = all_709_1_993 & a_select3(q_ds1_filter, n2, n4) = all_709_0_992 & leq(n0, n4) = all_709_3_995 & leq(n0, n2) = all_709_2_994 & ( ~ (all_709_2_994 = 0) | ~ (all_709_3_995 = 0) | all_709_0_992 = all_709_1_993)
% 61.85/22.08 |
% 61.85/22.08 | Applying alpha-rule on (3843) yields:
% 61.85/22.08 | (3844) leq(n0, n2) = all_709_2_994
% 61.85/22.08 | (3845) ~ (all_709_2_994 = 0) | ~ (all_709_3_995 = 0) | all_709_0_992 = all_709_1_993
% 61.85/22.08 | (3846) a_select3(q_ds1_filter, n4, n2) = all_709_1_993
% 62.13/22.08 | (3847) a_select3(q_ds1_filter, n2, n4) = all_709_0_992
% 62.13/22.08 | (3848) leq(n0, n4) = all_709_3_995
% 62.13/22.08 |
% 62.13/22.08 | From (143) and (313) follows:
% 62.13/22.08 | (135) leq(n2, n5) = 0
% 62.13/22.08 |
% 62.13/22.08 +-Applying beta-rule and splitting (572), into two cases.
% 62.13/22.08 |-Branch one:
% 62.13/22.08 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.08 |
% 62.13/22.08 | From (143) and (310) follows:
% 62.13/22.08 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.08 |
% 62.13/22.08 | Using (135) and (311) yields:
% 62.13/22.08 | (276) $false
% 62.13/22.08 |
% 62.13/22.08 |-The branch is then unsatisfiable
% 62.13/22.08 |-Branch two:
% 62.13/22.08 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.08 | (1088) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.08 |
% 62.13/22.08 | Instantiating (1088) with all_714_0_996, all_714_1_997, all_714_2_998, all_714_3_999 yields:
% 62.13/22.08 | (3855) a_select3(q_ds1_filter, n4, n2) = all_714_0_996 & a_select3(q_ds1_filter, n2, n4) = all_714_1_997 & leq(n0, n4) = all_714_2_998 & leq(n0, n2) = all_714_3_999 & ( ~ (all_714_2_998 = 0) | ~ (all_714_3_999 = 0) | all_714_0_996 = all_714_1_997)
% 62.13/22.08 |
% 62.13/22.08 | Applying alpha-rule on (3855) yields:
% 62.13/22.08 | (3856) a_select3(q_ds1_filter, n2, n4) = all_714_1_997
% 62.13/22.08 | (3857) a_select3(q_ds1_filter, n4, n2) = all_714_0_996
% 62.13/22.08 | (3858) ~ (all_714_2_998 = 0) | ~ (all_714_3_999 = 0) | all_714_0_996 = all_714_1_997
% 62.13/22.08 | (3859) leq(n0, n4) = all_714_2_998
% 62.13/22.08 | (3860) leq(n0, n2) = all_714_3_999
% 62.13/22.08 |
% 62.13/22.08 | From (143) and (313) follows:
% 62.13/22.08 | (135) leq(n2, n5) = 0
% 62.13/22.08 |
% 62.13/22.08 +-Applying beta-rule and splitting (578), into two cases.
% 62.13/22.08 |-Branch one:
% 62.13/22.08 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.08 |
% 62.13/22.08 | From (143) and (310) follows:
% 62.13/22.08 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.08 |
% 62.13/22.08 | Using (135) and (311) yields:
% 62.13/22.08 | (276) $false
% 62.13/22.08 |
% 62.13/22.08 |-The branch is then unsatisfiable
% 62.13/22.08 |-Branch two:
% 62.13/22.08 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.08 | (1094) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.08 |
% 62.13/22.08 | Instantiating (1094) with all_719_0_1000, all_719_1_1001, all_719_2_1002, all_719_3_1003 yields:
% 62.13/22.08 | (3867) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_1001 & a_select3(pminus_ds1_filter, n2, n5) = all_719_0_1000 & leq(n0, n5) = all_719_3_1003 & leq(n0, n2) = all_719_2_1002 & ( ~ (all_719_2_1002 = 0) | ~ (all_719_3_1003 = 0) | all_719_0_1000 = all_719_1_1001)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3867) yields:
% 62.13/22.09 | (3868) leq(n0, n2) = all_719_2_1002
% 62.13/22.09 | (3869) ~ (all_719_2_1002 = 0) | ~ (all_719_3_1003 = 0) | all_719_0_1000 = all_719_1_1001
% 62.13/22.09 | (3870) a_select3(pminus_ds1_filter, n2, n5) = all_719_0_1000
% 62.13/22.09 | (3871) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_1001
% 62.13/22.09 | (3872) leq(n0, n5) = all_719_3_1003
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (313) follows:
% 62.13/22.09 | (135) leq(n2, n5) = 0
% 62.13/22.09 |
% 62.13/22.09 +-Applying beta-rule and splitting (584), into two cases.
% 62.13/22.09 |-Branch one:
% 62.13/22.09 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (310) follows:
% 62.13/22.09 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.09 |
% 62.13/22.09 | Using (135) and (311) yields:
% 62.13/22.09 | (276) $false
% 62.13/22.09 |
% 62.13/22.09 |-The branch is then unsatisfiable
% 62.13/22.09 |-Branch two:
% 62.13/22.09 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.09 | (1106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.09 |
% 62.13/22.09 | Instantiating (1106) with all_724_0_1004, all_724_1_1005, all_724_2_1006, all_724_3_1007 yields:
% 62.13/22.09 | (3879) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_1004 & a_select3(pminus_ds1_filter, n2, n5) = all_724_1_1005 & leq(n0, n5) = all_724_2_1006 & leq(n0, n2) = all_724_3_1007 & ( ~ (all_724_2_1006 = 0) | ~ (all_724_3_1007 = 0) | all_724_0_1004 = all_724_1_1005)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3879) yields:
% 62.13/22.09 | (3880) leq(n0, n5) = all_724_2_1006
% 62.13/22.09 | (3881) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_1004
% 62.13/22.09 | (3882) ~ (all_724_2_1006 = 0) | ~ (all_724_3_1007 = 0) | all_724_0_1004 = all_724_1_1005
% 62.13/22.09 | (3883) a_select3(pminus_ds1_filter, n2, n5) = all_724_1_1005
% 62.13/22.09 | (3884) leq(n0, n2) = all_724_3_1007
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (313) follows:
% 62.13/22.09 | (135) leq(n2, n5) = 0
% 62.13/22.09 |
% 62.13/22.09 +-Applying beta-rule and splitting (590), into two cases.
% 62.13/22.09 |-Branch one:
% 62.13/22.09 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (310) follows:
% 62.13/22.09 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.09 |
% 62.13/22.09 | Using (135) and (311) yields:
% 62.13/22.09 | (276) $false
% 62.13/22.09 |
% 62.13/22.09 |-The branch is then unsatisfiable
% 62.13/22.09 |-Branch two:
% 62.13/22.09 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.09 | (1118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.09 |
% 62.13/22.09 | Instantiating (1118) with all_729_0_1008, all_729_1_1009, all_729_2_1010, all_729_3_1011 yields:
% 62.13/22.09 | (3891) a_select3(q_ds1_filter, n3, n2) = all_729_1_1009 & a_select3(q_ds1_filter, n2, n3) = all_729_0_1008 & leq(n0, n3) = all_729_3_1011 & leq(n0, n2) = all_729_2_1010 & ( ~ (all_729_2_1010 = 0) | ~ (all_729_3_1011 = 0) | all_729_0_1008 = all_729_1_1009)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3891) yields:
% 62.13/22.09 | (3892) leq(n0, n2) = all_729_2_1010
% 62.13/22.09 | (3893) a_select3(q_ds1_filter, n2, n3) = all_729_0_1008
% 62.13/22.09 | (3894) leq(n0, n3) = all_729_3_1011
% 62.13/22.09 | (3895) a_select3(q_ds1_filter, n3, n2) = all_729_1_1009
% 62.13/22.09 | (3896) ~ (all_729_2_1010 = 0) | ~ (all_729_3_1011 = 0) | all_729_0_1008 = all_729_1_1009
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (313) follows:
% 62.13/22.09 | (135) leq(n2, n5) = 0
% 62.13/22.09 |
% 62.13/22.09 +-Applying beta-rule and splitting (596), into two cases.
% 62.13/22.09 |-Branch one:
% 62.13/22.09 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (310) follows:
% 62.13/22.09 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.09 |
% 62.13/22.09 | Using (135) and (311) yields:
% 62.13/22.09 | (276) $false
% 62.13/22.09 |
% 62.13/22.09 |-The branch is then unsatisfiable
% 62.13/22.09 |-Branch two:
% 62.13/22.09 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.09 | (1124) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.09 |
% 62.13/22.09 | Instantiating (1124) with all_734_0_1012, all_734_1_1013, all_734_2_1014, all_734_3_1015 yields:
% 62.13/22.09 | (3903) a_select3(q_ds1_filter, n3, n2) = all_734_0_1012 & a_select3(q_ds1_filter, n2, n3) = all_734_1_1013 & leq(n0, n3) = all_734_2_1014 & leq(n0, n2) = all_734_3_1015 & ( ~ (all_734_2_1014 = 0) | ~ (all_734_3_1015 = 0) | all_734_0_1012 = all_734_1_1013)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3903) yields:
% 62.13/22.09 | (3904) leq(n0, n3) = all_734_2_1014
% 62.13/22.09 | (3905) leq(n0, n2) = all_734_3_1015
% 62.13/22.09 | (3906) a_select3(q_ds1_filter, n2, n3) = all_734_1_1013
% 62.13/22.09 | (3907) a_select3(q_ds1_filter, n3, n2) = all_734_0_1012
% 62.13/22.09 | (3908) ~ (all_734_2_1014 = 0) | ~ (all_734_3_1015 = 0) | all_734_0_1012 = all_734_1_1013
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (313) follows:
% 62.13/22.09 | (135) leq(n2, n5) = 0
% 62.13/22.09 |
% 62.13/22.09 +-Applying beta-rule and splitting (602), into two cases.
% 62.13/22.09 |-Branch one:
% 62.13/22.09 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (310) follows:
% 62.13/22.09 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.09 |
% 62.13/22.09 | Using (135) and (311) yields:
% 62.13/22.09 | (276) $false
% 62.13/22.09 |
% 62.13/22.09 |-The branch is then unsatisfiable
% 62.13/22.09 |-Branch two:
% 62.13/22.09 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.09 | (1130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.09 |
% 62.13/22.09 | Instantiating (1130) with all_739_0_1016, all_739_1_1017, all_739_2_1018, all_739_3_1019 yields:
% 62.13/22.09 | (3915) a_select3(q_ds1_filter, n5, n2) = all_739_1_1017 & a_select3(q_ds1_filter, n2, n5) = all_739_0_1016 & leq(n0, n5) = all_739_3_1019 & leq(n0, n2) = all_739_2_1018 & ( ~ (all_739_2_1018 = 0) | ~ (all_739_3_1019 = 0) | all_739_0_1016 = all_739_1_1017)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3915) yields:
% 62.13/22.09 | (3916) leq(n0, n2) = all_739_2_1018
% 62.13/22.09 | (3917) a_select3(q_ds1_filter, n2, n5) = all_739_0_1016
% 62.13/22.09 | (3918) a_select3(q_ds1_filter, n5, n2) = all_739_1_1017
% 62.13/22.09 | (3919) leq(n0, n5) = all_739_3_1019
% 62.13/22.09 | (3920) ~ (all_739_2_1018 = 0) | ~ (all_739_3_1019 = 0) | all_739_0_1016 = all_739_1_1017
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (313) follows:
% 62.13/22.09 | (135) leq(n2, n5) = 0
% 62.13/22.09 |
% 62.13/22.09 +-Applying beta-rule and splitting (614), into two cases.
% 62.13/22.09 |-Branch one:
% 62.13/22.09 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.09 |
% 62.13/22.09 | From (143) and (310) follows:
% 62.13/22.09 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.09 |
% 62.13/22.09 | Using (135) and (311) yields:
% 62.13/22.09 | (276) $false
% 62.13/22.09 |
% 62.13/22.09 |-The branch is then unsatisfiable
% 62.13/22.09 |-Branch two:
% 62.13/22.09 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.09 | (1154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.09 |
% 62.13/22.09 | Instantiating (1154) with all_749_0_1024, all_749_1_1025, all_749_2_1026, all_749_3_1027 yields:
% 62.13/22.09 | (3927) a_select3(pminus_ds1_filter, n4, n2) = all_749_1_1025 & a_select3(pminus_ds1_filter, n2, n4) = all_749_0_1024 & leq(n0, n4) = all_749_3_1027 & leq(n0, n2) = all_749_2_1026 & ( ~ (all_749_2_1026 = 0) | ~ (all_749_3_1027 = 0) | all_749_0_1024 = all_749_1_1025)
% 62.13/22.09 |
% 62.13/22.09 | Applying alpha-rule on (3927) yields:
% 62.13/22.09 | (3928) a_select3(pminus_ds1_filter, n4, n2) = all_749_1_1025
% 62.13/22.09 | (3929) ~ (all_749_2_1026 = 0) | ~ (all_749_3_1027 = 0) | all_749_0_1024 = all_749_1_1025
% 62.13/22.10 | (3930) leq(n0, n2) = all_749_2_1026
% 62.13/22.10 | (3931) a_select3(pminus_ds1_filter, n2, n4) = all_749_0_1024
% 62.13/22.10 | (3932) leq(n0, n4) = all_749_3_1027
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (313) follows:
% 62.13/22.10 | (135) leq(n2, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (644), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (310) follows:
% 62.13/22.10 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (135) and (311) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.10 | (1208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | Instantiating (1208) with all_774_0_1044, all_774_1_1045, all_774_2_1046, all_774_3_1047 yields:
% 62.13/22.10 | (3939) a_select3(q_ds1_filter, n5, n2) = all_774_0_1044 & a_select3(q_ds1_filter, n2, n5) = all_774_1_1045 & leq(n0, n5) = all_774_2_1046 & leq(n0, n2) = all_774_3_1047 & ( ~ (all_774_2_1046 = 0) | ~ (all_774_3_1047 = 0) | all_774_0_1044 = all_774_1_1045)
% 62.13/22.10 |
% 62.13/22.10 | Applying alpha-rule on (3939) yields:
% 62.13/22.10 | (3940) a_select3(q_ds1_filter, n2, n5) = all_774_1_1045
% 62.13/22.10 | (3941) leq(n0, n2) = all_774_3_1047
% 62.13/22.10 | (3942) a_select3(q_ds1_filter, n5, n2) = all_774_0_1044
% 62.13/22.10 | (3943) ~ (all_774_2_1046 = 0) | ~ (all_774_3_1047 = 0) | all_774_0_1044 = all_774_1_1045
% 62.13/22.10 | (3944) leq(n0, n5) = all_774_2_1046
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (313) follows:
% 62.13/22.10 | (135) leq(n2, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (650), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (310) follows:
% 62.13/22.10 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (135) and (311) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.10 | (1220) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | Instantiating (1220) with all_779_0_1048, all_779_1_1049, all_779_2_1050, all_779_3_1051 yields:
% 62.13/22.10 | (3951) a_select3(pminus_ds1_filter, n4, n2) = all_779_0_1048 & a_select3(pminus_ds1_filter, n2, n4) = all_779_1_1049 & leq(n0, n4) = all_779_2_1050 & leq(n0, n2) = all_779_3_1051 & ( ~ (all_779_2_1050 = 0) | ~ (all_779_3_1051 = 0) | all_779_0_1048 = all_779_1_1049)
% 62.13/22.10 |
% 62.13/22.10 | Applying alpha-rule on (3951) yields:
% 62.13/22.10 | (3952) leq(n0, n4) = all_779_2_1050
% 62.13/22.10 | (3953) a_select3(pminus_ds1_filter, n4, n2) = all_779_0_1048
% 62.13/22.10 | (3954) ~ (all_779_2_1050 = 0) | ~ (all_779_3_1051 = 0) | all_779_0_1048 = all_779_1_1049
% 62.13/22.10 | (3955) leq(n0, n2) = all_779_3_1051
% 62.13/22.10 | (3956) a_select3(pminus_ds1_filter, n2, n4) = all_779_1_1049
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (313) follows:
% 62.13/22.10 | (135) leq(n2, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (662), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (310) follows:
% 62.13/22.10 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (135) and (311) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.10 | (1232) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | Instantiating (1232) with all_789_0_1056, all_789_1_1057, all_789_2_1058, all_789_3_1059 yields:
% 62.13/22.10 | (3963) a_select3(pminus_ds1_filter, n3, n2) = all_789_1_1057 & a_select3(pminus_ds1_filter, n2, n3) = all_789_0_1056 & leq(n0, n3) = all_789_3_1059 & leq(n0, n2) = all_789_2_1058 & ( ~ (all_789_2_1058 = 0) | ~ (all_789_3_1059 = 0) | all_789_0_1056 = all_789_1_1057)
% 62.13/22.10 |
% 62.13/22.10 | Applying alpha-rule on (3963) yields:
% 62.13/22.10 | (3964) leq(n0, n3) = all_789_3_1059
% 62.13/22.10 | (3965) a_select3(pminus_ds1_filter, n3, n2) = all_789_1_1057
% 62.13/22.10 | (3966) ~ (all_789_2_1058 = 0) | ~ (all_789_3_1059 = 0) | all_789_0_1056 = all_789_1_1057
% 62.13/22.10 | (3967) a_select3(pminus_ds1_filter, n2, n3) = all_789_0_1056
% 62.13/22.10 | (3968) leq(n0, n2) = all_789_2_1058
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (313) follows:
% 62.13/22.10 | (135) leq(n2, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (674), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (310) follows:
% 62.13/22.10 | (311) ~ (leq(n2, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (135) and (311) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (313) leq(n2, all_0_9_9) = 0
% 62.13/22.10 | (1244) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | Instantiating (1244) with all_799_0_1064, all_799_1_1065, all_799_2_1066, all_799_3_1067 yields:
% 62.13/22.10 | (3975) a_select3(pminus_ds1_filter, n3, n2) = all_799_0_1064 & a_select3(pminus_ds1_filter, n2, n3) = all_799_1_1065 & leq(n0, n3) = all_799_2_1066 & leq(n0, n2) = all_799_3_1067 & ( ~ (all_799_2_1066 = 0) | ~ (all_799_3_1067 = 0) | all_799_0_1064 = all_799_1_1065)
% 62.13/22.10 |
% 62.13/22.10 | Applying alpha-rule on (3975) yields:
% 62.13/22.10 | (3976) leq(n0, n2) = all_799_3_1067
% 62.13/22.10 | (3977) a_select3(pminus_ds1_filter, n2, n3) = all_799_1_1065
% 62.13/22.10 | (3978) a_select3(pminus_ds1_filter, n3, n2) = all_799_0_1064
% 62.13/22.10 | (3979) leq(n0, n3) = all_799_2_1066
% 62.13/22.10 | (3980) ~ (all_799_2_1066 = 0) | ~ (all_799_3_1067 = 0) | all_799_0_1064 = all_799_1_1065
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (788), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (334) follows:
% 62.13/22.10 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (136) and (335) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.10 | (1412) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (337) follows:
% 62.13/22.10 | (136) leq(n1, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (794), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (334) follows:
% 62.13/22.10 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (136) and (335) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.10 | (1424) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (337) follows:
% 62.13/22.10 | (136) leq(n1, n5) = 0
% 62.13/22.10 |
% 62.13/22.10 +-Applying beta-rule and splitting (800), into two cases.
% 62.13/22.10 |-Branch one:
% 62.13/22.10 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.10 |
% 62.13/22.10 | From (143) and (334) follows:
% 62.13/22.10 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.10 |
% 62.13/22.10 | Using (136) and (335) yields:
% 62.13/22.10 | (276) $false
% 62.13/22.10 |
% 62.13/22.10 |-The branch is then unsatisfiable
% 62.13/22.10 |-Branch two:
% 62.13/22.10 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.10 | (1436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (806), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1442) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | Instantiating (1442) with all_909_0_1152, all_909_1_1153, all_909_2_1154, all_909_3_1155 yields:
% 62.13/22.11 | (4004) a_select3(pminus_ds1_filter, n2, n1) = all_909_1_1153 & a_select3(pminus_ds1_filter, n1, n2) = all_909_0_1152 & leq(n0, n2) = all_909_3_1155 & leq(n0, n1) = all_909_2_1154 & ( ~ (all_909_2_1154 = 0) | ~ (all_909_3_1155 = 0) | all_909_0_1152 = all_909_1_1153)
% 62.13/22.11 |
% 62.13/22.11 | Applying alpha-rule on (4004) yields:
% 62.13/22.11 | (4005) ~ (all_909_2_1154 = 0) | ~ (all_909_3_1155 = 0) | all_909_0_1152 = all_909_1_1153
% 62.13/22.11 | (4006) a_select3(pminus_ds1_filter, n1, n2) = all_909_0_1152
% 62.13/22.11 | (4007) leq(n0, n2) = all_909_3_1155
% 62.13/22.11 | (4008) leq(n0, n1) = all_909_2_1154
% 62.13/22.11 | (4009) a_select3(pminus_ds1_filter, n2, n1) = all_909_1_1153
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (812), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1448) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (818), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1454) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (824), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (830), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1466) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (836), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1472) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | Instantiating (1472) with all_934_0_1172, all_934_1_1173, all_934_2_1174, all_934_3_1175 yields:
% 62.13/22.11 | (4040) a_select3(pminus_ds1_filter, n2, n1) = all_934_0_1172 & a_select3(pminus_ds1_filter, n1, n2) = all_934_1_1173 & leq(n0, n2) = all_934_2_1174 & leq(n0, n1) = all_934_3_1175 & ( ~ (all_934_2_1174 = 0) | ~ (all_934_3_1175 = 0) | all_934_0_1172 = all_934_1_1173)
% 62.13/22.11 |
% 62.13/22.11 | Applying alpha-rule on (4040) yields:
% 62.13/22.11 | (4041) a_select3(pminus_ds1_filter, n1, n2) = all_934_1_1173
% 62.13/22.11 | (4042) leq(n0, n1) = all_934_3_1175
% 62.13/22.11 | (4043) leq(n0, n2) = all_934_2_1174
% 62.13/22.11 | (4044) a_select3(pminus_ds1_filter, n2, n1) = all_934_0_1172
% 62.13/22.11 | (4045) ~ (all_934_2_1174 = 0) | ~ (all_934_3_1175 = 0) | all_934_0_1172 = all_934_1_1173
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (337) follows:
% 62.13/22.11 | (136) leq(n1, n5) = 0
% 62.13/22.11 |
% 62.13/22.11 +-Applying beta-rule and splitting (842), into two cases.
% 62.13/22.11 |-Branch one:
% 62.13/22.11 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.13/22.11 |
% 62.13/22.11 | From (143) and (334) follows:
% 62.13/22.11 | (335) ~ (leq(n1, n5) = 0)
% 62.13/22.11 |
% 62.13/22.11 | Using (136) and (335) yields:
% 62.13/22.11 | (276) $false
% 62.13/22.11 |
% 62.13/22.11 |-The branch is then unsatisfiable
% 62.13/22.11 |-Branch two:
% 62.13/22.11 | (337) leq(n1, all_0_9_9) = 0
% 62.13/22.11 | (1478) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.11 |
% 62.13/22.11 | Instantiating (1478) with all_939_0_1176, all_939_1_1177, all_939_2_1178, all_939_3_1179 yields:
% 62.13/22.11 | (4052) a_select3(q_ds1_filter, n2, n1) = all_939_1_1177 & a_select3(q_ds1_filter, n1, n2) = all_939_0_1176 & leq(n0, n2) = all_939_3_1179 & leq(n0, n1) = all_939_2_1178 & ( ~ (all_939_2_1178 = 0) | ~ (all_939_3_1179 = 0) | all_939_0_1176 = all_939_1_1177)
% 62.13/22.11 |
% 62.13/22.11 | Applying alpha-rule on (4052) yields:
% 62.13/22.11 | (4053) a_select3(q_ds1_filter, n1, n2) = all_939_0_1176
% 62.13/22.11 | (4054) ~ (all_939_2_1178 = 0) | ~ (all_939_3_1179 = 0) | all_939_0_1176 = all_939_1_1177
% 62.13/22.11 | (4055) leq(n0, n1) = all_939_2_1178
% 62.13/22.11 | (4056) a_select3(q_ds1_filter, n2, n1) = all_939_1_1177
% 62.13/22.11 | (4057) leq(n0, n2) = all_939_3_1179
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_909_3_1155, all_934_2_1174 and discharging atoms leq(n0, n2) = all_934_2_1174, leq(n0, n2) = all_909_3_1155, yields:
% 62.13/22.11 | (4058) all_934_2_1174 = all_909_3_1155
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_799_3_1067, all_939_3_1179 and discharging atoms leq(n0, n2) = all_939_3_1179, leq(n0, n2) = all_799_3_1067, yields:
% 62.13/22.11 | (4059) all_939_3_1179 = all_799_3_1067
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_789_2_1058, all_799_3_1067 and discharging atoms leq(n0, n2) = all_799_3_1067, leq(n0, n2) = all_789_2_1058, yields:
% 62.13/22.11 | (4060) all_799_3_1067 = all_789_2_1058
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_774_3_1047, all_789_2_1058 and discharging atoms leq(n0, n2) = all_789_2_1058, leq(n0, n2) = all_774_3_1047, yields:
% 62.13/22.11 | (4061) all_789_2_1058 = all_774_3_1047
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_749_2_1026, all_909_3_1155 and discharging atoms leq(n0, n2) = all_909_3_1155, leq(n0, n2) = all_749_2_1026, yields:
% 62.13/22.11 | (4062) all_909_3_1155 = all_749_2_1026
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_749_2_1026, all_774_3_1047 and discharging atoms leq(n0, n2) = all_774_3_1047, leq(n0, n2) = all_749_2_1026, yields:
% 62.13/22.11 | (4063) all_774_3_1047 = all_749_2_1026
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_739_2_1018, all_779_3_1051 and discharging atoms leq(n0, n2) = all_779_3_1051, leq(n0, n2) = all_739_2_1018, yields:
% 62.13/22.11 | (4064) all_779_3_1051 = all_739_2_1018
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_729_2_1010, all_739_2_1018 and discharging atoms leq(n0, n2) = all_739_2_1018, leq(n0, n2) = all_729_2_1010, yields:
% 62.13/22.11 | (4065) all_739_2_1018 = all_729_2_1010
% 62.13/22.11 |
% 62.13/22.11 | Instantiating formula (30) with n0, n2, all_719_2_1002, all_939_3_1179 and discharging atoms leq(n0, n2) = all_939_3_1179, leq(n0, n2) = all_719_2_1002, yields:
% 62.13/22.12 | (4066) all_939_3_1179 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_714_3_999, all_774_3_1047 and discharging atoms leq(n0, n2) = all_774_3_1047, leq(n0, n2) = all_714_3_999, yields:
% 62.13/22.12 | (4067) all_774_3_1047 = all_714_3_999
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_694_3_983, all_724_3_1007 and discharging atoms leq(n0, n2) = all_724_3_1007, leq(n0, n2) = all_694_3_983, yields:
% 62.13/22.12 | (4068) all_724_3_1007 = all_694_3_983
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_664_2_958, all_779_3_1051 and discharging atoms leq(n0, n2) = all_779_3_1051, leq(n0, n2) = all_664_2_958, yields:
% 62.13/22.12 | (4069) all_779_3_1051 = all_664_2_958
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_659_3_955, all_714_3_999 and discharging atoms leq(n0, n2) = all_714_3_999, leq(n0, n2) = all_659_3_955, yields:
% 62.13/22.12 | (4070) all_714_3_999 = all_659_3_955
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_614_3_919, all_734_3_1015 and discharging atoms leq(n0, n2) = all_734_3_1015, leq(n0, n2) = all_614_3_919, yields:
% 62.13/22.12 | (4071) all_734_3_1015 = all_614_3_919
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_584_3_895, all_729_2_1010 and discharging atoms leq(n0, n2) = all_729_2_1010, leq(n0, n2) = all_584_3_895, yields:
% 62.13/22.12 | (4072) all_729_2_1010 = all_584_3_895
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_554_2_870, all_709_2_994 and discharging atoms leq(n0, n2) = all_709_2_994, leq(n0, n2) = all_554_2_870, yields:
% 62.13/22.12 | (4073) all_709_2_994 = all_554_2_870
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_554_2_870, all_614_3_919 and discharging atoms leq(n0, n2) = all_614_3_919, leq(n0, n2) = all_554_2_870, yields:
% 62.13/22.12 | (4074) all_614_3_919 = all_554_2_870
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_549_2_866, all_584_3_895 and discharging atoms leq(n0, n2) = all_584_3_895, leq(n0, n2) = all_549_2_866, yields:
% 62.13/22.12 | (4075) all_584_3_895 = all_549_2_866
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_549_2_866, all_554_2_870 and discharging atoms leq(n0, n2) = all_554_2_870, leq(n0, n2) = all_549_2_866, yields:
% 62.13/22.12 | (4076) all_554_2_870 = all_549_2_866
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_544_2_862, all_734_3_1015 and discharging atoms leq(n0, n2) = all_734_3_1015, leq(n0, n2) = all_544_2_862, yields:
% 62.13/22.12 | (4077) all_734_3_1015 = all_544_2_862
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_539_3_859, all_709_2_994 and discharging atoms leq(n0, n2) = all_709_2_994, leq(n0, n2) = all_539_3_859, yields:
% 62.13/22.12 | (4078) all_709_2_994 = all_539_3_859
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_534_3_855, all_659_3_955 and discharging atoms leq(n0, n2) = all_659_3_955, leq(n0, n2) = all_534_3_855, yields:
% 62.13/22.12 | (4079) all_659_3_955 = all_534_3_855
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_519_3_843, all_534_3_855 and discharging atoms leq(n0, n2) = all_534_3_855, leq(n0, n2) = all_519_3_843, yields:
% 62.13/22.12 | (4080) all_534_3_855 = all_519_3_843
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_514_2_838, all_519_3_843 and discharging atoms leq(n0, n2) = all_519_3_843, leq(n0, n2) = all_514_2_838, yields:
% 62.13/22.12 | (4081) all_519_3_843 = all_514_2_838
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_509_2_834, all_709_2_994 and discharging atoms leq(n0, n2) = all_709_2_994, leq(n0, n2) = all_509_2_834, yields:
% 62.13/22.12 | (4082) all_709_2_994 = all_509_2_834
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_509_2_834, all_694_3_983 and discharging atoms leq(n0, n2) = all_694_3_983, leq(n0, n2) = all_509_2_834, yields:
% 62.13/22.12 | (4083) all_694_3_983 = all_509_2_834
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_494_2_822, all_729_2_1010 and discharging atoms leq(n0, n2) = all_729_2_1010, leq(n0, n2) = all_494_2_822, yields:
% 62.13/22.12 | (4084) all_729_2_1010 = all_494_2_822
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_92_2_771, all_619_2_922 and discharging atoms leq(n0, n2) = all_619_2_922, leq(n0, n2) = all_92_2_771, yields:
% 62.13/22.12 | (4085) all_619_2_922 = all_92_2_771
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_92_2_771, all_514_2_838 and discharging atoms leq(n0, n2) = all_514_2_838, leq(n0, n2) = all_92_2_771, yields:
% 62.13/22.12 | (4086) all_514_2_838 = all_92_2_771
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_92_2_771, all_509_2_834 and discharging atoms leq(n0, n2) = all_509_2_834, leq(n0, n2) = all_92_2_771, yields:
% 62.13/22.12 | (4087) all_509_2_834 = all_92_2_771
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_92_3_772, all_934_2_1174 and discharging atoms leq(n0, n2) = all_934_2_1174, leq(n0, n2) = all_92_3_772, yields:
% 62.13/22.12 | (4088) all_934_2_1174 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_87_2_767, all_619_2_922 and discharging atoms leq(n0, n2) = all_619_2_922, leq(n0, n2) = all_87_2_767, yields:
% 62.13/22.12 | (4089) all_619_2_922 = all_87_2_767
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_87_3_768, all_619_2_922 and discharging atoms leq(n0, n2) = all_619_2_922, leq(n0, n2) = all_87_3_768, yields:
% 62.13/22.12 | (4090) all_619_2_922 = all_87_3_768
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_72_2_755, 0 and discharging atoms leq(n0, n2) = all_72_2_755, leq(n0, n2) = 0, yields:
% 62.13/22.12 | (4091) all_72_2_755 = 0
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_72_2_755, all_87_3_768 and discharging atoms leq(n0, n2) = all_87_3_768, leq(n0, n2) = all_72_2_755, yields:
% 62.13/22.12 | (4092) all_87_3_768 = all_72_2_755
% 62.13/22.12 |
% 62.13/22.12 | Instantiating formula (30) with n0, n2, all_72_3_756, all_724_3_1007 and discharging atoms leq(n0, n2) = all_724_3_1007, leq(n0, n2) = all_72_3_756, yields:
% 62.13/22.12 | (4093) all_724_3_1007 = all_72_3_756
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4059,4066) yields a new equation:
% 62.13/22.12 | (4094) all_799_3_1067 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4094 yields:
% 62.13/22.12 | (4095) all_799_3_1067 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4058,4088) yields a new equation:
% 62.13/22.12 | (4096) all_909_3_1155 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4096 yields:
% 62.13/22.12 | (4097) all_909_3_1155 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4062,4097) yields a new equation:
% 62.13/22.12 | (4098) all_749_2_1026 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4098 yields:
% 62.13/22.12 | (4099) all_749_2_1026 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4060,4095) yields a new equation:
% 62.13/22.12 | (4100) all_789_2_1058 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4100 yields:
% 62.13/22.12 | (4101) all_789_2_1058 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4061,4101) yields a new equation:
% 62.13/22.12 | (4102) all_774_3_1047 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4102 yields:
% 62.13/22.12 | (4103) all_774_3_1047 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4064,4069) yields a new equation:
% 62.13/22.12 | (4104) all_739_2_1018 = all_664_2_958
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4104 yields:
% 62.13/22.12 | (4105) all_739_2_1018 = all_664_2_958
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4063,4103) yields a new equation:
% 62.13/22.12 | (4106) all_749_2_1026 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4106 yields:
% 62.13/22.12 | (4107) all_749_2_1026 = all_719_2_1002
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4067,4103) yields a new equation:
% 62.13/22.12 | (4108) all_719_2_1002 = all_714_3_999
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4107,4099) yields a new equation:
% 62.13/22.12 | (4109) all_719_2_1002 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4109 yields:
% 62.13/22.12 | (4110) all_719_2_1002 = all_92_3_772
% 62.13/22.12 |
% 62.13/22.12 | Combining equations (4065,4105) yields a new equation:
% 62.13/22.12 | (4111) all_729_2_1010 = all_664_2_958
% 62.13/22.12 |
% 62.13/22.12 | Simplifying 4111 yields:
% 62.13/22.13 | (4112) all_729_2_1010 = all_664_2_958
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4071,4077) yields a new equation:
% 62.13/22.13 | (4113) all_614_3_919 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4113 yields:
% 62.13/22.13 | (4114) all_614_3_919 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4084,4112) yields a new equation:
% 62.13/22.13 | (4115) all_664_2_958 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4072,4112) yields a new equation:
% 62.13/22.13 | (4116) all_664_2_958 = all_584_3_895
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4068,4093) yields a new equation:
% 62.13/22.13 | (4117) all_694_3_983 = all_72_3_756
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4117 yields:
% 62.13/22.13 | (4118) all_694_3_983 = all_72_3_756
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4108,4110) yields a new equation:
% 62.13/22.13 | (4119) all_714_3_999 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4119 yields:
% 62.13/22.13 | (4120) all_714_3_999 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4070,4120) yields a new equation:
% 62.13/22.13 | (4121) all_659_3_955 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4121 yields:
% 62.13/22.13 | (4122) all_659_3_955 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4082,4078) yields a new equation:
% 62.13/22.13 | (4123) all_539_3_859 = all_509_2_834
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4073,4078) yields a new equation:
% 62.13/22.13 | (4124) all_554_2_870 = all_539_3_859
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4124 yields:
% 62.13/22.13 | (4125) all_554_2_870 = all_539_3_859
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4083,4118) yields a new equation:
% 62.13/22.13 | (4126) all_509_2_834 = all_72_3_756
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4126 yields:
% 62.13/22.13 | (4127) all_509_2_834 = all_72_3_756
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4116,4115) yields a new equation:
% 62.13/22.13 | (4128) all_584_3_895 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4128 yields:
% 62.13/22.13 | (4129) all_584_3_895 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4079,4122) yields a new equation:
% 62.13/22.13 | (4130) all_534_3_855 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4130 yields:
% 62.13/22.13 | (4131) all_534_3_855 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4085,4089) yields a new equation:
% 62.13/22.13 | (4132) all_92_2_771 = all_87_2_767
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4132 yields:
% 62.13/22.13 | (4133) all_92_2_771 = all_87_2_767
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4090,4089) yields a new equation:
% 62.13/22.13 | (4134) all_87_2_767 = all_87_3_768
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4074,4114) yields a new equation:
% 62.13/22.13 | (4135) all_554_2_870 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4135 yields:
% 62.13/22.13 | (4136) all_554_2_870 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4075,4129) yields a new equation:
% 62.13/22.13 | (4137) all_549_2_866 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4137 yields:
% 62.13/22.13 | (4138) all_549_2_866 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4076,4136) yields a new equation:
% 62.13/22.13 | (4139) all_549_2_866 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4139 yields:
% 62.13/22.13 | (4140) all_549_2_866 = all_544_2_862
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4125,4136) yields a new equation:
% 62.13/22.13 | (4141) all_544_2_862 = all_539_3_859
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4140,4138) yields a new equation:
% 62.13/22.13 | (4142) all_544_2_862 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4142 yields:
% 62.13/22.13 | (4143) all_544_2_862 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4141,4143) yields a new equation:
% 62.13/22.13 | (4144) all_539_3_859 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4144 yields:
% 62.13/22.13 | (4145) all_539_3_859 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4123,4145) yields a new equation:
% 62.13/22.13 | (4146) all_509_2_834 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4146 yields:
% 62.13/22.13 | (4147) all_509_2_834 = all_494_2_822
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4080,4131) yields a new equation:
% 62.13/22.13 | (4148) all_519_3_843 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4148 yields:
% 62.13/22.13 | (4149) all_519_3_843 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4081,4149) yields a new equation:
% 62.13/22.13 | (4150) all_514_2_838 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4150 yields:
% 62.13/22.13 | (4151) all_514_2_838 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Combining equations (4086,4151) yields a new equation:
% 62.13/22.13 | (4152) all_92_2_771 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.13 | Simplifying 4152 yields:
% 62.13/22.13 | (4153) all_92_2_771 = all_92_3_772
% 62.13/22.13 |
% 62.13/22.14 | Combining equations (4127,4147) yields a new equation:
% 62.13/22.14 | (4154) all_494_2_822 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4087,4147) yields a new equation:
% 62.13/22.14 | (4155) all_494_2_822 = all_92_2_771
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4155,4154) yields a new equation:
% 62.13/22.14 | (4156) all_92_2_771 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Simplifying 4156 yields:
% 62.13/22.14 | (4157) all_92_2_771 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4133,4153) yields a new equation:
% 62.13/22.14 | (4158) all_92_3_772 = all_87_2_767
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4157,4153) yields a new equation:
% 62.13/22.14 | (4159) all_92_3_772 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4158,4159) yields a new equation:
% 62.13/22.14 | (4160) all_87_2_767 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Simplifying 4160 yields:
% 62.13/22.14 | (4161) all_87_2_767 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4134,4161) yields a new equation:
% 62.13/22.14 | (4162) all_87_3_768 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Simplifying 4162 yields:
% 62.13/22.14 | (4163) all_87_3_768 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4092,4163) yields a new equation:
% 62.13/22.14 | (4164) all_72_2_755 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Simplifying 4164 yields:
% 62.13/22.14 | (4165) all_72_2_755 = all_72_3_756
% 62.13/22.14 |
% 62.13/22.14 | Combining equations (4091,4165) yields a new equation:
% 62.13/22.14 | (4166) all_72_3_756 = 0
% 62.13/22.14 |
% 62.13/22.14 | From (4166) and (2933) follows:
% 62.13/22.14 | (142) leq(n0, n2) = 0
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, n2 yields:
% 62.13/22.14 | (4168) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n2, all_0_6_6 yields:
% 62.13/22.14 | (4169) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, n1 yields:
% 62.13/22.14 | (4170) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n1, all_0_6_6 yields:
% 62.13/22.14 | (4171) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, tptp_minus_1 yields:
% 62.13/22.14 | (4172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with tptp_minus_1, all_0_6_6 yields:
% 62.13/22.14 | (4173) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, n0 yields:
% 62.13/22.14 | (4174) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n0, all_0_6_6 yields:
% 62.13/22.14 | (4175) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, all_0_6_6 yields:
% 62.13/22.14 | (4176) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_7_7, n2 yields:
% 62.13/22.14 | (4177) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n2, all_0_7_7 yields:
% 62.13/22.14 | (4178) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_7_7, n1 yields:
% 62.13/22.14 | (4179) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n1, all_0_7_7 yields:
% 62.13/22.14 | (4180) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_7_7, tptp_minus_1 yields:
% 62.13/22.14 | (4181) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with tptp_minus_1, all_0_7_7 yields:
% 62.13/22.14 | (4182) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_7_7, n0 yields:
% 62.13/22.14 | (4183) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with n0, all_0_7_7 yields:
% 62.13/22.14 | (4184) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_6_6, all_0_7_7 yields:
% 62.13/22.14 | (4185) ~ (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))
% 62.13/22.14 |
% 62.13/22.14 | Instantiating formula (68) with all_0_7_7, all_0_7_7 yields:
% 62.13/22.14 | (4186) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.14 |
% 62.13/22.14 +-Applying beta-rule and splitting (4185), into two cases.
% 62.13/22.14 |-Branch one:
% 62.13/22.14 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.14 |
% 62.13/22.14 | From (144) and (4187) follows:
% 62.13/22.14 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.14 |
% 62.13/22.14 | Using (2899) and (4188) yields:
% 62.13/22.14 | (276) $false
% 62.13/22.14 |
% 62.13/22.14 |-The branch is then unsatisfiable
% 62.13/22.14 |-Branch two:
% 62.13/22.14 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.14 | (4191) ~ (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))
% 62.13/22.14 |
% 62.13/22.14 | From (144) and (2894) follows:
% 62.13/22.14 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.14 |
% 62.13/22.14 +-Applying beta-rule and splitting (4175), into two cases.
% 62.13/22.14 |-Branch one:
% 62.13/22.15 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (4187) follows:
% 62.13/22.15 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.15 |
% 62.13/22.15 | Using (2899) and (4188) yields:
% 62.13/22.15 | (276) $false
% 62.13/22.15 |
% 62.13/22.15 |-The branch is then unsatisfiable
% 62.13/22.15 |-Branch two:
% 62.13/22.15 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.15 | (4197) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (2894) follows:
% 62.13/22.15 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.15 |
% 62.13/22.15 +-Applying beta-rule and splitting (4176), into two cases.
% 62.13/22.15 |-Branch one:
% 62.13/22.15 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (4187) follows:
% 62.13/22.15 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.15 |
% 62.13/22.15 | Using (2899) and (4188) yields:
% 62.13/22.15 | (276) $false
% 62.13/22.15 |
% 62.13/22.15 |-The branch is then unsatisfiable
% 62.13/22.15 |-Branch two:
% 62.13/22.15 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.15 | (4203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.15 |
% 62.13/22.15 | Instantiating (4203) with all_1286_0_1200, all_1286_1_1201, all_1286_2_1202, all_1286_3_1203 yields:
% 62.13/22.15 | (4204) a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = all_1286_0_1200 & a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = all_1286_1_1201 & leq(n0, all_0_6_6) = all_1286_2_1202 & leq(n0, all_0_6_6) = all_1286_3_1203 & ( ~ (all_1286_2_1202 = 0) | ~ (all_1286_3_1203 = 0) | all_1286_0_1200 = all_1286_1_1201)
% 62.13/22.15 |
% 62.13/22.15 | Applying alpha-rule on (4204) yields:
% 62.13/22.15 | (4205) leq(n0, all_0_6_6) = all_1286_3_1203
% 62.13/22.15 | (4206) a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = all_1286_0_1200
% 62.13/22.15 | (4207) ~ (all_1286_2_1202 = 0) | ~ (all_1286_3_1203 = 0) | all_1286_0_1200 = all_1286_1_1201
% 62.13/22.15 | (4208) a_select3(r_ds1_filter, all_0_6_6, all_0_6_6) = all_1286_1_1201
% 62.13/22.15 | (4209) leq(n0, all_0_6_6) = all_1286_2_1202
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (2894) follows:
% 62.13/22.15 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.15 |
% 62.13/22.15 +-Applying beta-rule and splitting (4186), into two cases.
% 62.13/22.15 |-Branch one:
% 62.13/22.15 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (4211) follows:
% 62.13/22.15 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.13/22.15 |
% 62.13/22.15 | Using (2900) and (4212) yields:
% 62.13/22.15 | (276) $false
% 62.13/22.15 |
% 62.13/22.15 |-The branch is then unsatisfiable
% 62.13/22.15 |-Branch two:
% 62.13/22.15 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.13/22.15 | (4215) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.15 |
% 62.13/22.15 | Instantiating (4215) with all_1291_0_1204, all_1291_1_1205, all_1291_2_1206, all_1291_3_1207 yields:
% 62.13/22.15 | (4216) a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_0_1204 & a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_1_1205 & leq(n0, all_0_7_7) = all_1291_2_1206 & leq(n0, all_0_7_7) = all_1291_3_1207 & ( ~ (all_1291_2_1206 = 0) | ~ (all_1291_3_1207 = 0) | all_1291_0_1204 = all_1291_1_1205)
% 62.13/22.15 |
% 62.13/22.15 | Applying alpha-rule on (4216) yields:
% 62.13/22.15 | (4217) ~ (all_1291_2_1206 = 0) | ~ (all_1291_3_1207 = 0) | all_1291_0_1204 = all_1291_1_1205
% 62.13/22.15 | (4218) leq(n0, all_0_7_7) = all_1291_2_1206
% 62.13/22.15 | (4219) a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_0_1204
% 62.13/22.15 | (4220) leq(n0, all_0_7_7) = all_1291_3_1207
% 62.13/22.15 | (4221) a_select3(r_ds1_filter, all_0_7_7, all_0_7_7) = all_1291_1_1205
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (2895) follows:
% 62.13/22.15 | (2900) leq(all_0_7_7, n2) = 0
% 62.13/22.15 |
% 62.13/22.15 +-Applying beta-rule and splitting (4179), into two cases.
% 62.13/22.15 |-Branch one:
% 62.13/22.15 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (4211) follows:
% 62.13/22.15 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.13/22.15 |
% 62.13/22.15 | Using (2900) and (4212) yields:
% 62.13/22.15 | (276) $false
% 62.13/22.15 |
% 62.13/22.15 |-The branch is then unsatisfiable
% 62.13/22.15 |-Branch two:
% 62.13/22.15 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.13/22.15 | (4227) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.15 |
% 62.13/22.15 | From (144) and (2895) follows:
% 62.13/22.15 | (2900) leq(all_0_7_7, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4168), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4187) follows:
% 62.13/22.16 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.16 |
% 62.13/22.16 | Using (2899) and (4188) yields:
% 62.13/22.16 | (276) $false
% 62.13/22.16 |
% 62.13/22.16 |-The branch is then unsatisfiable
% 62.13/22.16 |-Branch two:
% 62.13/22.16 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.16 | (4233) ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (2894) follows:
% 62.13/22.16 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4173), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4187) follows:
% 62.13/22.16 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.16 |
% 62.13/22.16 | Using (2899) and (4188) yields:
% 62.13/22.16 | (276) $false
% 62.13/22.16 |
% 62.13/22.16 |-The branch is then unsatisfiable
% 62.13/22.16 |-Branch two:
% 62.13/22.16 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.16 | (4239) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (2894) follows:
% 62.13/22.16 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4171), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4187) follows:
% 62.13/22.16 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.16 |
% 62.13/22.16 | Using (2899) and (4188) yields:
% 62.13/22.16 | (276) $false
% 62.13/22.16 |
% 62.13/22.16 |-The branch is then unsatisfiable
% 62.13/22.16 |-Branch two:
% 62.13/22.16 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.16 | (4245) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (2894) follows:
% 62.13/22.16 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4172), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4187) follows:
% 62.13/22.16 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.16 |
% 62.13/22.16 | Using (2899) and (4188) yields:
% 62.13/22.16 | (276) $false
% 62.13/22.16 |
% 62.13/22.16 |-The branch is then unsatisfiable
% 62.13/22.16 |-Branch two:
% 62.13/22.16 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.16 | (4251) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (2894) follows:
% 62.13/22.16 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4174), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4187) follows:
% 62.13/22.16 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.16 |
% 62.13/22.16 | Using (2899) and (4188) yields:
% 62.13/22.16 | (276) $false
% 62.13/22.16 |
% 62.13/22.16 |-The branch is then unsatisfiable
% 62.13/22.16 |-Branch two:
% 62.13/22.16 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.16 | (4257) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (2894) follows:
% 62.13/22.16 | (2899) leq(all_0_6_6, n2) = 0
% 62.13/22.16 |
% 62.13/22.16 +-Applying beta-rule and splitting (4177), into two cases.
% 62.13/22.16 |-Branch one:
% 62.13/22.16 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.13/22.16 |
% 62.13/22.16 | From (144) and (4211) follows:
% 62.13/22.16 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.13/22.16 |
% 62.13/22.17 | Using (2900) and (4212) yields:
% 62.13/22.17 | (276) $false
% 62.13/22.17 |
% 62.13/22.17 |-The branch is then unsatisfiable
% 62.13/22.17 |-Branch two:
% 62.13/22.17 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.13/22.17 | (4263) ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (2895) follows:
% 62.13/22.17 | (2900) leq(all_0_7_7, n2) = 0
% 62.13/22.17 |
% 62.13/22.17 +-Applying beta-rule and splitting (4178), into two cases.
% 62.13/22.17 |-Branch one:
% 62.13/22.17 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (4211) follows:
% 62.13/22.17 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.13/22.17 |
% 62.13/22.17 | Using (2900) and (4212) yields:
% 62.13/22.17 | (276) $false
% 62.13/22.17 |
% 62.13/22.17 |-The branch is then unsatisfiable
% 62.13/22.17 |-Branch two:
% 62.13/22.17 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.13/22.17 | (4269) ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (2895) follows:
% 62.13/22.17 | (2900) leq(all_0_7_7, n2) = 0
% 62.13/22.17 |
% 62.13/22.17 +-Applying beta-rule and splitting (4180), into two cases.
% 62.13/22.17 |-Branch one:
% 62.13/22.17 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (4211) follows:
% 62.13/22.17 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.13/22.17 |
% 62.13/22.17 | Using (2900) and (4212) yields:
% 62.13/22.17 | (276) $false
% 62.13/22.17 |
% 62.13/22.17 |-The branch is then unsatisfiable
% 62.13/22.17 |-Branch two:
% 62.13/22.17 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.13/22.17 | (4275) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (2895) follows:
% 62.13/22.17 | (2900) leq(all_0_7_7, n2) = 0
% 62.13/22.17 |
% 62.13/22.17 +-Applying beta-rule and splitting (4169), into two cases.
% 62.13/22.17 |-Branch one:
% 62.13/22.17 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (4187) follows:
% 62.13/22.17 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.13/22.17 |
% 62.13/22.17 | Using (2899) and (4188) yields:
% 62.13/22.17 | (276) $false
% 62.13/22.17 |
% 62.13/22.17 |-The branch is then unsatisfiable
% 62.13/22.17 |-Branch two:
% 62.13/22.17 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.13/22.17 | (4281) ~ (leq(n2, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.13/22.17 |
% 62.13/22.17 | From (144) and (2894) follows:
% 62.39/22.17 | (2899) leq(all_0_6_6, n2) = 0
% 62.39/22.17 |
% 62.39/22.17 +-Applying beta-rule and splitting (4170), into two cases.
% 62.39/22.17 |-Branch one:
% 62.39/22.17 | (4187) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 62.39/22.17 |
% 62.39/22.17 | From (144) and (4187) follows:
% 62.39/22.17 | (4188) ~ (leq(all_0_6_6, n2) = 0)
% 62.39/22.17 |
% 62.39/22.17 | Using (2899) and (4188) yields:
% 62.39/22.17 | (276) $false
% 62.39/22.17 |
% 62.39/22.17 |-The branch is then unsatisfiable
% 62.39/22.17 |-Branch two:
% 62.39/22.17 | (2894) leq(all_0_6_6, all_0_8_8) = 0
% 62.39/22.17 | (4287) ~ (leq(n1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.17 |
% 62.39/22.17 +-Applying beta-rule and splitting (4183), into two cases.
% 62.39/22.17 |-Branch one:
% 62.39/22.17 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.39/22.17 |
% 62.39/22.17 | From (144) and (4211) follows:
% 62.39/22.17 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.39/22.17 |
% 62.39/22.17 | Using (2900) and (4212) yields:
% 62.39/22.17 | (276) $false
% 62.39/22.17 |
% 62.39/22.17 |-The branch is then unsatisfiable
% 62.39/22.17 |-Branch two:
% 62.39/22.17 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.39/22.17 | (4292) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.17 |
% 62.39/22.17 | From (144) and (2895) follows:
% 62.39/22.17 | (2900) leq(all_0_7_7, n2) = 0
% 62.39/22.17 |
% 62.39/22.18 +-Applying beta-rule and splitting (4181), into two cases.
% 62.39/22.18 |-Branch one:
% 62.39/22.18 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (4211) follows:
% 62.39/22.18 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.39/22.18 |
% 62.39/22.18 | Using (2900) and (4212) yields:
% 62.39/22.18 | (276) $false
% 62.39/22.18 |
% 62.39/22.18 |-The branch is then unsatisfiable
% 62.39/22.18 |-Branch two:
% 62.39/22.18 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.39/22.18 | (4298) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (2895) follows:
% 62.39/22.18 | (2900) leq(all_0_7_7, n2) = 0
% 62.39/22.18 |
% 62.39/22.18 +-Applying beta-rule and splitting (4182), into two cases.
% 62.39/22.18 |-Branch one:
% 62.39/22.18 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (4211) follows:
% 62.39/22.18 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.39/22.18 |
% 62.39/22.18 | Using (2900) and (4212) yields:
% 62.39/22.18 | (276) $false
% 62.39/22.18 |
% 62.39/22.18 |-The branch is then unsatisfiable
% 62.39/22.18 |-Branch two:
% 62.39/22.18 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.39/22.18 | (4304) ~ (leq(tptp_minus_1, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (2895) follows:
% 62.39/22.18 | (2900) leq(all_0_7_7, n2) = 0
% 62.39/22.18 |
% 62.39/22.18 +-Applying beta-rule and splitting (4184), into two cases.
% 62.39/22.18 |-Branch one:
% 62.39/22.18 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (4211) follows:
% 62.39/22.18 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.39/22.18 |
% 62.39/22.18 | Using (2900) and (4212) yields:
% 62.39/22.18 | (276) $false
% 62.39/22.18 |
% 62.39/22.18 |-The branch is then unsatisfiable
% 62.39/22.18 |-Branch two:
% 62.39/22.18 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.39/22.18 | (4310) ~ (leq(n0, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (2895) follows:
% 62.39/22.18 | (2900) leq(all_0_7_7, n2) = 0
% 62.39/22.18 |
% 62.39/22.18 +-Applying beta-rule and splitting (4197), into two cases.
% 62.39/22.18 |-Branch one:
% 62.39/22.18 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (3021) follows:
% 62.39/22.18 | (3022) ~ (leq(n0, n2) = 0)
% 62.39/22.18 |
% 62.39/22.18 | Using (142) and (3022) yields:
% 62.39/22.18 | (276) $false
% 62.39/22.18 |
% 62.39/22.18 |-The branch is then unsatisfiable
% 62.39/22.18 |-Branch two:
% 62.39/22.18 | (3024) leq(n0, all_0_8_8) = 0
% 62.39/22.18 | (4316) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.18 |
% 62.39/22.18 | Instantiating (4316) with all_1472_0_1234, all_1472_1_1235, all_1472_2_1236, all_1472_3_1237 yields:
% 62.39/22.18 | (4317) a_select3(r_ds1_filter, all_0_6_6, n0) = all_1472_1_1235 & a_select3(r_ds1_filter, n0, all_0_6_6) = all_1472_0_1234 & leq(n0, all_0_6_6) = all_1472_3_1237 & leq(n0, n0) = all_1472_2_1236 & ( ~ (all_1472_2_1236 = 0) | ~ (all_1472_3_1237 = 0) | all_1472_0_1234 = all_1472_1_1235)
% 62.39/22.18 |
% 62.39/22.18 | Applying alpha-rule on (4317) yields:
% 62.39/22.18 | (4318) a_select3(r_ds1_filter, all_0_6_6, n0) = all_1472_1_1235
% 62.39/22.18 | (4319) a_select3(r_ds1_filter, n0, all_0_6_6) = all_1472_0_1234
% 62.39/22.18 | (4320) leq(n0, n0) = all_1472_2_1236
% 62.39/22.18 | (4321) leq(n0, all_0_6_6) = all_1472_3_1237
% 62.39/22.18 | (4322) ~ (all_1472_2_1236 = 0) | ~ (all_1472_3_1237 = 0) | all_1472_0_1234 = all_1472_1_1235
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (3024) follows:
% 62.39/22.18 | (142) leq(n0, n2) = 0
% 62.39/22.18 |
% 62.39/22.18 +-Applying beta-rule and splitting (4227), into two cases.
% 62.39/22.18 |-Branch one:
% 62.39/22.18 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 62.39/22.18 |
% 62.39/22.18 | From (144) and (2985) follows:
% 62.39/22.18 | (2986) ~ (leq(n1, n2) = 0)
% 62.39/22.18 |
% 62.39/22.18 | Using (140) and (2986) yields:
% 62.39/22.18 | (276) $false
% 62.39/22.18 |
% 62.39/22.18 |-The branch is then unsatisfiable
% 62.39/22.18 |-Branch two:
% 62.39/22.18 | (2988) leq(n1, all_0_8_8) = 0
% 62.39/22.18 | (4328) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.18 |
% 62.39/22.18 | Instantiating (4328) with all_1477_0_1238, all_1477_1_1239, all_1477_2_1240, all_1477_3_1241 yields:
% 62.39/22.18 | (4329) a_select3(r_ds1_filter, all_0_7_7, n1) = all_1477_0_1238 & a_select3(r_ds1_filter, n1, all_0_7_7) = all_1477_1_1239 & leq(n0, all_0_7_7) = all_1477_2_1240 & leq(n0, n1) = all_1477_3_1241 & ( ~ (all_1477_2_1240 = 0) | ~ (all_1477_3_1241 = 0) | all_1477_0_1238 = all_1477_1_1239)
% 62.39/22.18 |
% 62.39/22.18 | Applying alpha-rule on (4329) yields:
% 62.39/22.19 | (4330) a_select3(r_ds1_filter, n1, all_0_7_7) = all_1477_1_1239
% 62.39/22.19 | (4331) a_select3(r_ds1_filter, all_0_7_7, n1) = all_1477_0_1238
% 62.39/22.19 | (4332) leq(n0, n1) = all_1477_3_1241
% 62.39/22.19 | (4333) ~ (all_1477_2_1240 = 0) | ~ (all_1477_3_1241 = 0) | all_1477_0_1238 = all_1477_1_1239
% 62.39/22.19 | (4334) leq(n0, all_0_7_7) = all_1477_2_1240
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (2988) follows:
% 62.39/22.19 | (140) leq(n1, n2) = 0
% 62.39/22.19 |
% 62.39/22.19 +-Applying beta-rule and splitting (4233), into two cases.
% 62.39/22.19 |-Branch one:
% 62.39/22.19 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (2961) follows:
% 62.39/22.19 | (2962) ~ (leq(n2, n2) = 0)
% 62.39/22.19 |
% 62.39/22.19 | Using (139) and (2962) yields:
% 62.39/22.19 | (276) $false
% 62.39/22.19 |
% 62.39/22.19 |-The branch is then unsatisfiable
% 62.39/22.19 |-Branch two:
% 62.39/22.19 | (2964) leq(n2, all_0_8_8) = 0
% 62.39/22.19 | (4340) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.19 |
% 62.39/22.19 | Instantiating (4340) with all_1482_0_1242, all_1482_1_1243, all_1482_2_1244, all_1482_3_1245 yields:
% 62.39/22.19 | (4341) a_select3(r_ds1_filter, all_0_6_6, n2) = all_1482_0_1242 & a_select3(r_ds1_filter, n2, all_0_6_6) = all_1482_1_1243 & leq(n0, all_0_6_6) = all_1482_2_1244 & leq(n0, n2) = all_1482_3_1245 & ( ~ (all_1482_2_1244 = 0) | ~ (all_1482_3_1245 = 0) | all_1482_0_1242 = all_1482_1_1243)
% 62.39/22.19 |
% 62.39/22.19 | Applying alpha-rule on (4341) yields:
% 62.39/22.19 | (4342) leq(n0, all_0_6_6) = all_1482_2_1244
% 62.39/22.19 | (4343) a_select3(r_ds1_filter, all_0_6_6, n2) = all_1482_0_1242
% 62.39/22.19 | (4344) leq(n0, n2) = all_1482_3_1245
% 62.39/22.19 | (4345) a_select3(r_ds1_filter, n2, all_0_6_6) = all_1482_1_1243
% 62.39/22.19 | (4346) ~ (all_1482_2_1244 = 0) | ~ (all_1482_3_1245 = 0) | all_1482_0_1242 = all_1482_1_1243
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (2964) follows:
% 62.39/22.19 | (139) leq(n2, n2) = 0
% 62.39/22.19 |
% 62.39/22.19 +-Applying beta-rule and splitting (4239), into two cases.
% 62.39/22.19 |-Branch one:
% 62.39/22.19 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (3003) follows:
% 62.39/22.19 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 62.39/22.19 |
% 62.39/22.19 | Using (141) and (3004) yields:
% 62.39/22.19 | (276) $false
% 62.39/22.19 |
% 62.39/22.19 |-The branch is then unsatisfiable
% 62.39/22.19 |-Branch two:
% 62.39/22.19 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 62.39/22.19 | (4352) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.19 |
% 62.39/22.19 | Instantiating (4352) with all_1487_0_1246, all_1487_1_1247, all_1487_2_1248, all_1487_3_1249 yields:
% 62.39/22.19 | (4353) a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = all_1487_1_1247 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = all_1487_0_1246 & leq(n0, all_0_6_6) = all_1487_3_1249 & leq(n0, tptp_minus_1) = all_1487_2_1248 & ( ~ (all_1487_2_1248 = 0) | ~ (all_1487_3_1249 = 0) | all_1487_0_1246 = all_1487_1_1247)
% 62.39/22.19 |
% 62.39/22.19 | Applying alpha-rule on (4353) yields:
% 62.39/22.19 | (4354) leq(n0, all_0_6_6) = all_1487_3_1249
% 62.39/22.19 | (4355) a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = all_1487_0_1246
% 62.39/22.19 | (4356) ~ (all_1487_2_1248 = 0) | ~ (all_1487_3_1249 = 0) | all_1487_0_1246 = all_1487_1_1247
% 62.39/22.19 | (4357) leq(n0, tptp_minus_1) = all_1487_2_1248
% 62.39/22.19 | (4358) a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = all_1487_1_1247
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (3006) follows:
% 62.39/22.19 | (141) leq(tptp_minus_1, n2) = 0
% 62.39/22.19 |
% 62.39/22.19 +-Applying beta-rule and splitting (4245), into two cases.
% 62.39/22.19 |-Branch one:
% 62.39/22.19 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (2985) follows:
% 62.39/22.19 | (2986) ~ (leq(n1, n2) = 0)
% 62.39/22.19 |
% 62.39/22.19 | Using (140) and (2986) yields:
% 62.39/22.19 | (276) $false
% 62.39/22.19 |
% 62.39/22.19 |-The branch is then unsatisfiable
% 62.39/22.19 |-Branch two:
% 62.39/22.19 | (2988) leq(n1, all_0_8_8) = 0
% 62.39/22.19 | (4364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.19 |
% 62.39/22.19 | Instantiating (4364) with all_1492_0_1250, all_1492_1_1251, all_1492_2_1252, all_1492_3_1253 yields:
% 62.39/22.19 | (4365) a_select3(r_ds1_filter, all_0_6_6, n1) = all_1492_1_1251 & a_select3(r_ds1_filter, n1, all_0_6_6) = all_1492_0_1250 & leq(n0, all_0_6_6) = all_1492_3_1253 & leq(n0, n1) = all_1492_2_1252 & ( ~ (all_1492_2_1252 = 0) | ~ (all_1492_3_1253 = 0) | all_1492_0_1250 = all_1492_1_1251)
% 62.39/22.19 |
% 62.39/22.19 | Applying alpha-rule on (4365) yields:
% 62.39/22.19 | (4366) a_select3(r_ds1_filter, all_0_6_6, n1) = all_1492_1_1251
% 62.39/22.19 | (4367) leq(n0, all_0_6_6) = all_1492_3_1253
% 62.39/22.19 | (4368) a_select3(r_ds1_filter, n1, all_0_6_6) = all_1492_0_1250
% 62.39/22.19 | (4369) leq(n0, n1) = all_1492_2_1252
% 62.39/22.19 | (4370) ~ (all_1492_2_1252 = 0) | ~ (all_1492_3_1253 = 0) | all_1492_0_1250 = all_1492_1_1251
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (2988) follows:
% 62.39/22.19 | (140) leq(n1, n2) = 0
% 62.39/22.19 |
% 62.39/22.19 +-Applying beta-rule and splitting (4251), into two cases.
% 62.39/22.19 |-Branch one:
% 62.39/22.19 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 62.39/22.19 |
% 62.39/22.19 | From (144) and (3003) follows:
% 62.39/22.20 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 62.39/22.20 |
% 62.39/22.20 | Using (141) and (3004) yields:
% 62.39/22.20 | (276) $false
% 62.39/22.20 |
% 62.39/22.20 |-The branch is then unsatisfiable
% 62.39/22.20 |-Branch two:
% 62.39/22.20 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 62.39/22.20 | (4376) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.20 |
% 62.39/22.20 | Instantiating (4376) with all_1497_0_1254, all_1497_1_1255, all_1497_2_1256, all_1497_3_1257 yields:
% 62.39/22.20 | (4377) a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = all_1497_0_1254 & a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = all_1497_1_1255 & leq(n0, all_0_6_6) = all_1497_2_1256 & leq(n0, tptp_minus_1) = all_1497_3_1257 & ( ~ (all_1497_2_1256 = 0) | ~ (all_1497_3_1257 = 0) | all_1497_0_1254 = all_1497_1_1255)
% 62.39/22.20 |
% 62.39/22.20 | Applying alpha-rule on (4377) yields:
% 62.39/22.20 | (4378) a_select3(r_ds1_filter, tptp_minus_1, all_0_6_6) = all_1497_1_1255
% 62.39/22.20 | (4379) leq(n0, all_0_6_6) = all_1497_2_1256
% 62.39/22.20 | (4380) leq(n0, tptp_minus_1) = all_1497_3_1257
% 62.39/22.20 | (4381) a_select3(r_ds1_filter, all_0_6_6, tptp_minus_1) = all_1497_0_1254
% 62.39/22.20 | (4382) ~ (all_1497_2_1256 = 0) | ~ (all_1497_3_1257 = 0) | all_1497_0_1254 = all_1497_1_1255
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (3006) follows:
% 62.39/22.20 | (141) leq(tptp_minus_1, n2) = 0
% 62.39/22.20 |
% 62.39/22.20 +-Applying beta-rule and splitting (4257), into two cases.
% 62.39/22.20 |-Branch one:
% 62.39/22.20 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (3021) follows:
% 62.39/22.20 | (3022) ~ (leq(n0, n2) = 0)
% 62.39/22.20 |
% 62.39/22.20 | Using (142) and (3022) yields:
% 62.39/22.20 | (276) $false
% 62.39/22.20 |
% 62.39/22.20 |-The branch is then unsatisfiable
% 62.39/22.20 |-Branch two:
% 62.39/22.20 | (3024) leq(n0, all_0_8_8) = 0
% 62.39/22.20 | (4388) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.20 |
% 62.39/22.20 | Instantiating (4388) with all_1502_0_1258, all_1502_1_1259, all_1502_2_1260, all_1502_3_1261 yields:
% 62.39/22.20 | (4389) a_select3(r_ds1_filter, all_0_6_6, n0) = all_1502_0_1258 & a_select3(r_ds1_filter, n0, all_0_6_6) = all_1502_1_1259 & leq(n0, all_0_6_6) = all_1502_2_1260 & leq(n0, n0) = all_1502_3_1261 & ( ~ (all_1502_2_1260 = 0) | ~ (all_1502_3_1261 = 0) | all_1502_0_1258 = all_1502_1_1259)
% 62.39/22.20 |
% 62.39/22.20 | Applying alpha-rule on (4389) yields:
% 62.39/22.20 | (4390) leq(n0, all_0_6_6) = all_1502_2_1260
% 62.39/22.20 | (4391) leq(n0, n0) = all_1502_3_1261
% 62.39/22.20 | (4392) a_select3(r_ds1_filter, n0, all_0_6_6) = all_1502_1_1259
% 62.39/22.20 | (4393) ~ (all_1502_2_1260 = 0) | ~ (all_1502_3_1261 = 0) | all_1502_0_1258 = all_1502_1_1259
% 62.39/22.20 | (4394) a_select3(r_ds1_filter, all_0_6_6, n0) = all_1502_0_1258
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (3024) follows:
% 62.39/22.20 | (142) leq(n0, n2) = 0
% 62.39/22.20 |
% 62.39/22.20 +-Applying beta-rule and splitting (4263), into two cases.
% 62.39/22.20 |-Branch one:
% 62.39/22.20 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (2961) follows:
% 62.39/22.20 | (2962) ~ (leq(n2, n2) = 0)
% 62.39/22.20 |
% 62.39/22.20 | Using (139) and (2962) yields:
% 62.39/22.20 | (276) $false
% 62.39/22.20 |
% 62.39/22.20 |-The branch is then unsatisfiable
% 62.39/22.20 |-Branch two:
% 62.39/22.20 | (2964) leq(n2, all_0_8_8) = 0
% 62.39/22.20 | (4400) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v3 & a_select3(r_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.39/22.20 |
% 62.39/22.20 | Instantiating (4400) with all_1507_0_1262, all_1507_1_1263, all_1507_2_1264, all_1507_3_1265 yields:
% 62.39/22.20 | (4401) a_select3(r_ds1_filter, all_0_7_7, n2) = all_1507_0_1262 & a_select3(r_ds1_filter, n2, all_0_7_7) = all_1507_1_1263 & leq(n0, all_0_7_7) = all_1507_2_1264 & leq(n0, n2) = all_1507_3_1265 & ( ~ (all_1507_2_1264 = 0) | ~ (all_1507_3_1265 = 0) | all_1507_0_1262 = all_1507_1_1263)
% 62.39/22.20 |
% 62.39/22.20 | Applying alpha-rule on (4401) yields:
% 62.39/22.20 | (4402) leq(n0, all_0_7_7) = all_1507_2_1264
% 62.39/22.20 | (4403) a_select3(r_ds1_filter, all_0_7_7, n2) = all_1507_0_1262
% 62.39/22.20 | (4404) ~ (all_1507_2_1264 = 0) | ~ (all_1507_3_1265 = 0) | all_1507_0_1262 = all_1507_1_1263
% 62.39/22.20 | (4405) leq(n0, n2) = all_1507_3_1265
% 62.39/22.20 | (4406) a_select3(r_ds1_filter, n2, all_0_7_7) = all_1507_1_1263
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (2964) follows:
% 62.39/22.20 | (139) leq(n2, n2) = 0
% 62.39/22.20 |
% 62.39/22.20 +-Applying beta-rule and splitting (4269), into two cases.
% 62.39/22.20 |-Branch one:
% 62.39/22.20 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 62.39/22.20 |
% 62.39/22.20 | From (144) and (2961) follows:
% 62.39/22.20 | (2962) ~ (leq(n2, n2) = 0)
% 62.46/22.20 |
% 62.46/22.20 | Using (139) and (2962) yields:
% 62.46/22.20 | (276) $false
% 62.46/22.20 |
% 62.46/22.20 |-The branch is then unsatisfiable
% 62.46/22.20 |-Branch two:
% 62.46/22.20 | (2964) leq(n2, all_0_8_8) = 0
% 62.46/22.20 | (4412) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.20 |
% 62.46/22.20 | Instantiating (4412) with all_1512_0_1266, all_1512_1_1267, all_1512_2_1268, all_1512_3_1269 yields:
% 62.46/22.20 | (4413) a_select3(r_ds1_filter, all_0_7_7, n2) = all_1512_1_1267 & a_select3(r_ds1_filter, n2, all_0_7_7) = all_1512_0_1266 & leq(n0, all_0_7_7) = all_1512_3_1269 & leq(n0, n2) = all_1512_2_1268 & ( ~ (all_1512_2_1268 = 0) | ~ (all_1512_3_1269 = 0) | all_1512_0_1266 = all_1512_1_1267)
% 62.46/22.20 |
% 62.46/22.20 | Applying alpha-rule on (4413) yields:
% 62.46/22.21 | (4414) leq(n0, n2) = all_1512_2_1268
% 62.46/22.21 | (4415) a_select3(r_ds1_filter, all_0_7_7, n2) = all_1512_1_1267
% 62.46/22.21 | (4416) a_select3(r_ds1_filter, n2, all_0_7_7) = all_1512_0_1266
% 62.46/22.21 | (4417) ~ (all_1512_2_1268 = 0) | ~ (all_1512_3_1269 = 0) | all_1512_0_1266 = all_1512_1_1267
% 62.46/22.21 | (4418) leq(n0, all_0_7_7) = all_1512_3_1269
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (2964) follows:
% 62.46/22.21 | (139) leq(n2, n2) = 0
% 62.46/22.21 |
% 62.46/22.21 +-Applying beta-rule and splitting (4275), into two cases.
% 62.46/22.21 |-Branch one:
% 62.46/22.21 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (2985) follows:
% 62.46/22.21 | (2986) ~ (leq(n1, n2) = 0)
% 62.46/22.21 |
% 62.46/22.21 | Using (140) and (2986) yields:
% 62.46/22.21 | (276) $false
% 62.46/22.21 |
% 62.46/22.21 |-The branch is then unsatisfiable
% 62.46/22.21 |-Branch two:
% 62.46/22.21 | (2988) leq(n1, all_0_8_8) = 0
% 62.46/22.21 | (4424) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n1) = v2 & a_select3(r_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.21 |
% 62.46/22.21 | Instantiating (4424) with all_1517_0_1270, all_1517_1_1271, all_1517_2_1272, all_1517_3_1273 yields:
% 62.46/22.21 | (4425) a_select3(r_ds1_filter, all_0_7_7, n1) = all_1517_1_1271 & a_select3(r_ds1_filter, n1, all_0_7_7) = all_1517_0_1270 & leq(n0, all_0_7_7) = all_1517_3_1273 & leq(n0, n1) = all_1517_2_1272 & ( ~ (all_1517_2_1272 = 0) | ~ (all_1517_3_1273 = 0) | all_1517_0_1270 = all_1517_1_1271)
% 62.46/22.21 |
% 62.46/22.21 | Applying alpha-rule on (4425) yields:
% 62.46/22.21 | (4426) ~ (all_1517_2_1272 = 0) | ~ (all_1517_3_1273 = 0) | all_1517_0_1270 = all_1517_1_1271
% 62.46/22.21 | (4427) leq(n0, n1) = all_1517_2_1272
% 62.46/22.21 | (4428) a_select3(r_ds1_filter, all_0_7_7, n1) = all_1517_1_1271
% 62.46/22.21 | (4429) leq(n0, all_0_7_7) = all_1517_3_1273
% 62.46/22.21 | (4430) a_select3(r_ds1_filter, n1, all_0_7_7) = all_1517_0_1270
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (2988) follows:
% 62.46/22.21 | (140) leq(n1, n2) = 0
% 62.46/22.21 |
% 62.46/22.21 +-Applying beta-rule and splitting (4281), into two cases.
% 62.46/22.21 |-Branch one:
% 62.46/22.21 | (2961) ~ (leq(n2, all_0_8_8) = 0)
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (2961) follows:
% 62.46/22.21 | (2962) ~ (leq(n2, n2) = 0)
% 62.46/22.21 |
% 62.46/22.21 | Using (139) and (2962) yields:
% 62.46/22.21 | (276) $false
% 62.46/22.21 |
% 62.46/22.21 |-The branch is then unsatisfiable
% 62.46/22.21 |-Branch two:
% 62.46/22.21 | (2964) leq(n2, all_0_8_8) = 0
% 62.46/22.21 | (4436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n2) = v2 & a_select3(r_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.21 |
% 62.46/22.21 | Instantiating (4436) with all_1522_0_1274, all_1522_1_1275, all_1522_2_1276, all_1522_3_1277 yields:
% 62.46/22.21 | (4437) a_select3(r_ds1_filter, all_0_6_6, n2) = all_1522_1_1275 & a_select3(r_ds1_filter, n2, all_0_6_6) = all_1522_0_1274 & leq(n0, all_0_6_6) = all_1522_3_1277 & leq(n0, n2) = all_1522_2_1276 & ( ~ (all_1522_2_1276 = 0) | ~ (all_1522_3_1277 = 0) | all_1522_0_1274 = all_1522_1_1275)
% 62.46/22.21 |
% 62.46/22.21 | Applying alpha-rule on (4437) yields:
% 62.46/22.21 | (4438) a_select3(r_ds1_filter, n2, all_0_6_6) = all_1522_0_1274
% 62.46/22.21 | (4439) a_select3(r_ds1_filter, all_0_6_6, n2) = all_1522_1_1275
% 62.46/22.21 | (4440) ~ (all_1522_2_1276 = 0) | ~ (all_1522_3_1277 = 0) | all_1522_0_1274 = all_1522_1_1275
% 62.46/22.21 | (4441) leq(n0, n2) = all_1522_2_1276
% 62.46/22.21 | (4442) leq(n0, all_0_6_6) = all_1522_3_1277
% 62.46/22.21 |
% 62.46/22.21 +-Applying beta-rule and splitting (4287), into two cases.
% 62.46/22.21 |-Branch one:
% 62.46/22.21 | (2985) ~ (leq(n1, all_0_8_8) = 0)
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (2985) follows:
% 62.46/22.21 | (2986) ~ (leq(n1, n2) = 0)
% 62.46/22.21 |
% 62.46/22.21 | Using (140) and (2986) yields:
% 62.46/22.21 | (276) $false
% 62.46/22.21 |
% 62.46/22.21 |-The branch is then unsatisfiable
% 62.46/22.21 |-Branch two:
% 62.46/22.21 | (2988) leq(n1, all_0_8_8) = 0
% 62.46/22.21 | (4447) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_6_6, n1) = v3 & a_select3(r_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.21 |
% 62.46/22.21 | Instantiating (4447) with all_1527_0_1278, all_1527_1_1279, all_1527_2_1280, all_1527_3_1281 yields:
% 62.46/22.21 | (4448) a_select3(r_ds1_filter, all_0_6_6, n1) = all_1527_0_1278 & a_select3(r_ds1_filter, n1, all_0_6_6) = all_1527_1_1279 & leq(n0, all_0_6_6) = all_1527_2_1280 & leq(n0, n1) = all_1527_3_1281 & ( ~ (all_1527_2_1280 = 0) | ~ (all_1527_3_1281 = 0) | all_1527_0_1278 = all_1527_1_1279)
% 62.46/22.21 |
% 62.46/22.21 | Applying alpha-rule on (4448) yields:
% 62.46/22.21 | (4449) ~ (all_1527_2_1280 = 0) | ~ (all_1527_3_1281 = 0) | all_1527_0_1278 = all_1527_1_1279
% 62.46/22.21 | (4450) a_select3(r_ds1_filter, n1, all_0_6_6) = all_1527_1_1279
% 62.46/22.21 | (4451) leq(n0, n1) = all_1527_3_1281
% 62.46/22.21 | (4452) leq(n0, all_0_6_6) = all_1527_2_1280
% 62.46/22.21 | (4453) a_select3(r_ds1_filter, all_0_6_6, n1) = all_1527_0_1278
% 62.46/22.21 |
% 62.46/22.21 +-Applying beta-rule and splitting (4292), into two cases.
% 62.46/22.21 |-Branch one:
% 62.46/22.21 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 62.46/22.21 |
% 62.46/22.21 | From (144) and (3021) follows:
% 62.46/22.21 | (3022) ~ (leq(n0, n2) = 0)
% 62.46/22.21 |
% 62.46/22.21 | Using (142) and (3022) yields:
% 62.46/22.21 | (276) $false
% 62.46/22.21 |
% 62.46/22.21 |-The branch is then unsatisfiable
% 62.46/22.21 |-Branch two:
% 62.46/22.22 | (3024) leq(n0, all_0_8_8) = 0
% 62.46/22.22 | (4458) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v3 & a_select3(r_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.22 |
% 62.46/22.22 | Instantiating (4458) with all_1533_0_1282, all_1533_1_1283, all_1533_2_1284, all_1533_3_1285 yields:
% 62.46/22.22 | (4459) a_select3(r_ds1_filter, all_0_7_7, n0) = all_1533_0_1282 & a_select3(r_ds1_filter, n0, all_0_7_7) = all_1533_1_1283 & leq(n0, all_0_7_7) = all_1533_2_1284 & leq(n0, n0) = all_1533_3_1285 & ( ~ (all_1533_2_1284 = 0) | ~ (all_1533_3_1285 = 0) | all_1533_0_1282 = all_1533_1_1283)
% 62.46/22.22 |
% 62.46/22.22 | Applying alpha-rule on (4459) yields:
% 62.46/22.22 | (4460) a_select3(r_ds1_filter, n0, all_0_7_7) = all_1533_1_1283
% 62.46/22.22 | (4461) a_select3(r_ds1_filter, all_0_7_7, n0) = all_1533_0_1282
% 62.46/22.22 | (4462) leq(n0, all_0_7_7) = all_1533_2_1284
% 62.46/22.22 | (4463) ~ (all_1533_2_1284 = 0) | ~ (all_1533_3_1285 = 0) | all_1533_0_1282 = all_1533_1_1283
% 62.46/22.22 | (4464) leq(n0, n0) = all_1533_3_1285
% 62.46/22.22 |
% 62.46/22.22 | From (144) and (3024) follows:
% 62.46/22.22 | (142) leq(n0, n2) = 0
% 62.46/22.22 |
% 62.46/22.22 +-Applying beta-rule and splitting (4298), into two cases.
% 62.46/22.22 |-Branch one:
% 62.46/22.22 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 62.46/22.22 |
% 62.46/22.22 | From (144) and (3003) follows:
% 62.46/22.22 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 62.46/22.22 |
% 62.46/22.22 | Using (141) and (3004) yields:
% 62.46/22.22 | (276) $false
% 62.46/22.22 |
% 62.46/22.22 |-The branch is then unsatisfiable
% 62.46/22.22 |-Branch two:
% 62.46/22.22 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 62.46/22.22 | (4470) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.22 |
% 62.46/22.22 | Instantiating (4470) with all_1538_0_1286, all_1538_1_1287, all_1538_2_1288, all_1538_3_1289 yields:
% 62.46/22.22 | (4471) a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = all_1538_0_1286 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = all_1538_1_1287 & leq(n0, all_0_7_7) = all_1538_2_1288 & leq(n0, tptp_minus_1) = all_1538_3_1289 & ( ~ (all_1538_2_1288 = 0) | ~ (all_1538_3_1289 = 0) | all_1538_0_1286 = all_1538_1_1287)
% 62.46/22.22 |
% 62.46/22.22 | Applying alpha-rule on (4471) yields:
% 62.46/22.22 | (4472) a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = all_1538_1_1287
% 62.46/22.22 | (4473) leq(n0, all_0_7_7) = all_1538_2_1288
% 62.46/22.22 | (4474) a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = all_1538_0_1286
% 62.46/22.22 | (4475) leq(n0, tptp_minus_1) = all_1538_3_1289
% 62.46/22.22 | (4476) ~ (all_1538_2_1288 = 0) | ~ (all_1538_3_1289 = 0) | all_1538_0_1286 = all_1538_1_1287
% 62.46/22.22 |
% 62.46/22.22 | From (144) and (3006) follows:
% 62.46/22.22 | (141) leq(tptp_minus_1, n2) = 0
% 62.46/22.22 |
% 62.46/22.22 +-Applying beta-rule and splitting (4304), into two cases.
% 62.46/22.22 |-Branch one:
% 62.46/22.22 | (3003) ~ (leq(tptp_minus_1, all_0_8_8) = 0)
% 62.46/22.22 |
% 62.46/22.22 | From (144) and (3003) follows:
% 62.46/22.22 | (3004) ~ (leq(tptp_minus_1, n2) = 0)
% 62.46/22.22 |
% 62.46/22.22 | Using (141) and (3004) yields:
% 62.46/22.22 | (276) $false
% 62.46/22.22 |
% 62.46/22.22 |-The branch is then unsatisfiable
% 62.46/22.22 |-Branch two:
% 62.46/22.22 | (3006) leq(tptp_minus_1, all_0_8_8) = 0
% 62.46/22.22 | (4482) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.22 |
% 62.46/22.22 | Instantiating (4482) with all_1543_0_1290, all_1543_1_1291, all_1543_2_1292, all_1543_3_1293 yields:
% 62.46/22.22 | (4483) a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = all_1543_1_1291 & a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = all_1543_0_1290 & leq(n0, all_0_7_7) = all_1543_3_1293 & leq(n0, tptp_minus_1) = all_1543_2_1292 & ( ~ (all_1543_2_1292 = 0) | ~ (all_1543_3_1293 = 0) | all_1543_0_1290 = all_1543_1_1291)
% 62.46/22.22 |
% 62.46/22.22 | Applying alpha-rule on (4483) yields:
% 62.46/22.22 | (4484) leq(n0, all_0_7_7) = all_1543_3_1293
% 62.46/22.22 | (4485) a_select3(r_ds1_filter, tptp_minus_1, all_0_7_7) = all_1543_0_1290
% 62.46/22.22 | (4486) leq(n0, tptp_minus_1) = all_1543_2_1292
% 62.46/22.22 | (4487) ~ (all_1543_2_1292 = 0) | ~ (all_1543_3_1293 = 0) | all_1543_0_1290 = all_1543_1_1291
% 62.46/22.22 | (4488) a_select3(r_ds1_filter, all_0_7_7, tptp_minus_1) = all_1543_1_1291
% 62.46/22.22 |
% 62.46/22.22 +-Applying beta-rule and splitting (4310), into two cases.
% 62.46/22.22 |-Branch one:
% 62.46/22.22 | (3021) ~ (leq(n0, all_0_8_8) = 0)
% 62.46/22.22 |
% 62.46/22.22 | From (144) and (3021) follows:
% 62.46/22.22 | (3022) ~ (leq(n0, n2) = 0)
% 62.46/22.22 |
% 62.46/22.22 | Using (142) and (3022) yields:
% 62.46/22.22 | (276) $false
% 62.46/22.22 |
% 62.46/22.22 |-The branch is then unsatisfiable
% 62.46/22.22 |-Branch two:
% 62.46/22.22 | (3024) leq(n0, all_0_8_8) = 0
% 62.46/22.22 | (4493) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(r_ds1_filter, all_0_7_7, n0) = v2 & a_select3(r_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.46/22.22 |
% 62.46/22.22 | Instantiating (4493) with all_1548_0_1294, all_1548_1_1295, all_1548_2_1296, all_1548_3_1297 yields:
% 62.46/22.22 | (4494) a_select3(r_ds1_filter, all_0_7_7, n0) = all_1548_1_1295 & a_select3(r_ds1_filter, n0, all_0_7_7) = all_1548_0_1294 & leq(n0, all_0_7_7) = all_1548_3_1297 & leq(n0, n0) = all_1548_2_1296 & ( ~ (all_1548_2_1296 = 0) | ~ (all_1548_3_1297 = 0) | all_1548_0_1294 = all_1548_1_1295)
% 62.46/22.22 |
% 62.46/22.22 | Applying alpha-rule on (4494) yields:
% 62.46/22.22 | (4495) a_select3(r_ds1_filter, all_0_7_7, n0) = all_1548_1_1295
% 62.46/22.22 | (4496) ~ (all_1548_2_1296 = 0) | ~ (all_1548_3_1297 = 0) | all_1548_0_1294 = all_1548_1_1295
% 62.46/22.22 | (4497) leq(n0, all_0_7_7) = all_1548_3_1297
% 62.46/22.22 | (4498) a_select3(r_ds1_filter, n0, all_0_7_7) = all_1548_0_1294
% 62.46/22.22 | (4499) leq(n0, n0) = all_1548_2_1296
% 62.46/22.22 |
% 62.46/22.22 | Instantiating formula (30) with n0, all_0_6_6, all_1497_2_1256, all_1522_3_1277 and discharging atoms leq(n0, all_0_6_6) = all_1522_3_1277, leq(n0, all_0_6_6) = all_1497_2_1256, yields:
% 62.46/22.22 | (4500) all_1522_3_1277 = all_1497_2_1256
% 62.46/22.22 |
% 62.46/22.22 | Instantiating formula (30) with n0, all_0_6_6, all_1497_2_1256, all_1502_2_1260 and discharging atoms leq(n0, all_0_6_6) = all_1502_2_1260, leq(n0, all_0_6_6) = all_1497_2_1256, yields:
% 62.46/22.22 | (4501) all_1502_2_1260 = all_1497_2_1256
% 62.46/22.22 |
% 62.46/22.22 | Instantiating formula (30) with n0, all_0_6_6, all_1492_3_1253, all_1502_2_1260 and discharging atoms leq(n0, all_0_6_6) = all_1502_2_1260, leq(n0, all_0_6_6) = all_1492_3_1253, yields:
% 62.46/22.23 | (4502) all_1502_2_1260 = all_1492_3_1253
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1487_3_1249, 0 and discharging atoms leq(n0, all_0_6_6) = all_1487_3_1249, leq(n0, all_0_6_6) = 0, yields:
% 62.46/22.23 | (4503) all_1487_3_1249 = 0
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1482_2_1244, all_1497_2_1256 and discharging atoms leq(n0, all_0_6_6) = all_1497_2_1256, leq(n0, all_0_6_6) = all_1482_2_1244, yields:
% 62.46/22.23 | (4504) all_1497_2_1256 = all_1482_2_1244
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1472_3_1237, all_1527_2_1280 and discharging atoms leq(n0, all_0_6_6) = all_1527_2_1280, leq(n0, all_0_6_6) = all_1472_3_1237, yields:
% 62.46/22.23 | (4505) all_1527_2_1280 = all_1472_3_1237
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1472_3_1237, all_1487_3_1249 and discharging atoms leq(n0, all_0_6_6) = all_1487_3_1249, leq(n0, all_0_6_6) = all_1472_3_1237, yields:
% 62.46/22.23 | (4506) all_1487_3_1249 = all_1472_3_1237
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1472_3_1237, all_1482_2_1244 and discharging atoms leq(n0, all_0_6_6) = all_1482_2_1244, leq(n0, all_0_6_6) = all_1472_3_1237, yields:
% 62.46/22.23 | (4507) all_1482_2_1244 = all_1472_3_1237
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1286_2_1202, all_1522_3_1277 and discharging atoms leq(n0, all_0_6_6) = all_1522_3_1277, leq(n0, all_0_6_6) = all_1286_2_1202, yields:
% 62.46/22.23 | (4508) all_1522_3_1277 = all_1286_2_1202
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_6_6, all_1286_3_1203, all_1527_2_1280 and discharging atoms leq(n0, all_0_6_6) = all_1527_2_1280, leq(n0, all_0_6_6) = all_1286_3_1203, yields:
% 62.46/22.23 | (4509) all_1527_2_1280 = all_1286_3_1203
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1543_3_1293, all_1548_3_1297 and discharging atoms leq(n0, all_0_7_7) = all_1548_3_1297, leq(n0, all_0_7_7) = all_1543_3_1293, yields:
% 62.46/22.23 | (4510) all_1548_3_1297 = all_1543_3_1293
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1533_2_1284, all_1538_2_1288 and discharging atoms leq(n0, all_0_7_7) = all_1538_2_1288, leq(n0, all_0_7_7) = all_1533_2_1284, yields:
% 62.46/22.23 | (4511) all_1538_2_1288 = all_1533_2_1284
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1517_3_1273, all_1543_3_1293 and discharging atoms leq(n0, all_0_7_7) = all_1543_3_1293, leq(n0, all_0_7_7) = all_1517_3_1273, yields:
% 62.46/22.23 | (4512) all_1543_3_1293 = all_1517_3_1273
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1512_3_1269, all_1533_2_1284 and discharging atoms leq(n0, all_0_7_7) = all_1533_2_1284, leq(n0, all_0_7_7) = all_1512_3_1269, yields:
% 62.46/22.23 | (4513) all_1533_2_1284 = all_1512_3_1269
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1512_3_1269, all_1517_3_1273 and discharging atoms leq(n0, all_0_7_7) = all_1517_3_1273, leq(n0, all_0_7_7) = all_1512_3_1269, yields:
% 62.46/22.23 | (4514) all_1517_3_1273 = all_1512_3_1269
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1507_2_1264, all_1548_3_1297 and discharging atoms leq(n0, all_0_7_7) = all_1548_3_1297, leq(n0, all_0_7_7) = all_1507_2_1264, yields:
% 62.46/22.23 | (4515) all_1548_3_1297 = all_1507_2_1264
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1477_2_1240, all_1512_3_1269 and discharging atoms leq(n0, all_0_7_7) = all_1512_3_1269, leq(n0, all_0_7_7) = all_1477_2_1240, yields:
% 62.46/22.23 | (4516) all_1512_3_1269 = all_1477_2_1240
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1291_2_1206, 0 and discharging atoms leq(n0, all_0_7_7) = all_1291_2_1206, leq(n0, all_0_7_7) = 0, yields:
% 62.46/22.23 | (4517) all_1291_2_1206 = 0
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1291_2_1206, all_1512_3_1269 and discharging atoms leq(n0, all_0_7_7) = all_1512_3_1269, leq(n0, all_0_7_7) = all_1291_2_1206, yields:
% 62.46/22.23 | (4518) all_1512_3_1269 = all_1291_2_1206
% 62.46/22.23 |
% 62.46/22.23 | Instantiating formula (30) with n0, all_0_7_7, all_1291_3_1207, all_1538_2_1288 and discharging atoms leq(n0, all_0_7_7) = all_1538_2_1288, leq(n0, all_0_7_7) = all_1291_3_1207, yields:
% 62.46/22.23 | (4519) all_1538_2_1288 = all_1291_3_1207
% 62.46/22.23 |
% 62.46/22.23 | Combining equations (4510,4515) yields a new equation:
% 62.46/22.23 | (4520) all_1543_3_1293 = all_1507_2_1264
% 62.46/22.23 |
% 62.46/22.23 | Simplifying 4520 yields:
% 62.46/22.23 | (4521) all_1543_3_1293 = all_1507_2_1264
% 62.46/22.23 |
% 62.46/22.23 | Combining equations (4512,4521) yields a new equation:
% 62.46/22.23 | (4522) all_1517_3_1273 = all_1507_2_1264
% 62.46/22.23 |
% 62.46/22.23 | Simplifying 4522 yields:
% 62.46/22.23 | (4523) all_1517_3_1273 = all_1507_2_1264
% 62.46/22.23 |
% 62.46/22.23 | Combining equations (4511,4519) yields a new equation:
% 62.46/22.23 | (4524) all_1533_2_1284 = all_1291_3_1207
% 62.46/22.23 |
% 62.46/22.23 | Simplifying 4524 yields:
% 62.46/22.23 | (4525) all_1533_2_1284 = all_1291_3_1207
% 62.46/22.23 |
% 62.46/22.23 | Combining equations (4513,4525) yields a new equation:
% 62.46/22.23 | (4526) all_1512_3_1269 = all_1291_3_1207
% 62.46/22.23 |
% 62.49/22.23 | Simplifying 4526 yields:
% 62.49/22.23 | (4527) all_1512_3_1269 = all_1291_3_1207
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4505,4509) yields a new equation:
% 62.49/22.23 | (4528) all_1472_3_1237 = all_1286_3_1203
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4528 yields:
% 62.49/22.23 | (4529) all_1472_3_1237 = all_1286_3_1203
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4500,4508) yields a new equation:
% 62.49/22.23 | (4530) all_1497_2_1256 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4530 yields:
% 62.49/22.23 | (4531) all_1497_2_1256 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4514,4523) yields a new equation:
% 62.49/22.23 | (4532) all_1512_3_1269 = all_1507_2_1264
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4532 yields:
% 62.49/22.23 | (4533) all_1512_3_1269 = all_1507_2_1264
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4516,4533) yields a new equation:
% 62.49/22.23 | (4534) all_1507_2_1264 = all_1477_2_1240
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4527,4533) yields a new equation:
% 62.49/22.23 | (4535) all_1507_2_1264 = all_1291_3_1207
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4518,4533) yields a new equation:
% 62.49/22.23 | (4536) all_1507_2_1264 = all_1291_2_1206
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4535,4534) yields a new equation:
% 62.49/22.23 | (4537) all_1477_2_1240 = all_1291_3_1207
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4536,4534) yields a new equation:
% 62.49/22.23 | (4538) all_1477_2_1240 = all_1291_2_1206
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4501,4502) yields a new equation:
% 62.49/22.23 | (4539) all_1497_2_1256 = all_1492_3_1253
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4539 yields:
% 62.49/22.23 | (4540) all_1497_2_1256 = all_1492_3_1253
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4504,4540) yields a new equation:
% 62.49/22.23 | (4541) all_1492_3_1253 = all_1482_2_1244
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4531,4540) yields a new equation:
% 62.49/22.23 | (4542) all_1492_3_1253 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4541,4542) yields a new equation:
% 62.49/22.23 | (4543) all_1482_2_1244 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4543 yields:
% 62.49/22.23 | (4544) all_1482_2_1244 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4506,4503) yields a new equation:
% 62.49/22.23 | (4545) all_1472_3_1237 = 0
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4545 yields:
% 62.49/22.23 | (4546) all_1472_3_1237 = 0
% 62.49/22.23 |
% 62.49/22.23 | Combining equations (4507,4544) yields a new equation:
% 62.49/22.23 | (4547) all_1472_3_1237 = all_1286_2_1202
% 62.49/22.23 |
% 62.49/22.23 | Simplifying 4547 yields:
% 62.49/22.24 | (4548) all_1472_3_1237 = all_1286_2_1202
% 62.49/22.24 |
% 62.49/22.24 | Combining equations (4538,4537) yields a new equation:
% 62.49/22.24 | (4549) all_1291_2_1206 = all_1291_3_1207
% 62.49/22.24 |
% 62.49/22.24 | Simplifying 4549 yields:
% 62.49/22.24 | (4550) all_1291_2_1206 = all_1291_3_1207
% 62.49/22.24 |
% 62.49/22.24 | Combining equations (4529,4548) yields a new equation:
% 62.49/22.24 | (4551) all_1286_2_1202 = all_1286_3_1203
% 62.49/22.24 |
% 62.49/22.24 | Combining equations (4546,4548) yields a new equation:
% 62.49/22.24 | (4552) all_1286_2_1202 = 0
% 62.49/22.24 |
% 62.49/22.24 | Combining equations (4517,4550) yields a new equation:
% 62.49/22.24 | (4553) all_1291_3_1207 = 0
% 62.49/22.24 |
% 62.49/22.24 | Combining equations (4552,4551) yields a new equation:
% 62.49/22.24 | (4554) all_1286_3_1203 = 0
% 62.49/22.24 |
% 62.49/22.24 | From (4554) and (4205) follows:
% 62.49/22.24 | (264) leq(n0, all_0_6_6) = 0
% 62.49/22.24 |
% 62.49/22.24 | From (4553) and (4220) follows:
% 62.49/22.24 | (271) leq(n0, all_0_7_7) = 0
% 62.49/22.24 |
% 62.49/22.24 +-Applying beta-rule and splitting (4191), into two cases.
% 62.49/22.24 |-Branch one:
% 62.49/22.24 | (4211) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 62.49/22.24 |
% 62.49/22.24 | From (144) and (4211) follows:
% 62.49/22.24 | (4212) ~ (leq(all_0_7_7, n2) = 0)
% 62.49/22.24 |
% 62.49/22.24 | Using (2900) and (4212) yields:
% 62.49/22.24 | (276) $false
% 62.49/22.24 |
% 62.49/22.24 |-The branch is then unsatisfiable
% 62.49/22.24 |-Branch two:
% 62.49/22.24 | (2895) leq(all_0_7_7, all_0_8_8) = 0
% 62.49/22.24 | (4561) ? [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))
% 62.49/22.24 |
% 62.49/22.24 | Instantiating (4561) with all_1594_0_1298, all_1594_1_1299, all_1594_2_1300, all_1594_3_1301 yields:
% 62.49/22.24 | (4562) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_1594_0_1298 & a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_1594_1_1299 & leq(n0, all_0_6_6) = all_1594_2_1300 & leq(n0, all_0_7_7) = all_1594_3_1301 & ( ~ (all_1594_2_1300 = 0) | ~ (all_1594_3_1301 = 0) | all_1594_0_1298 = all_1594_1_1299)
% 62.49/22.24 |
% 62.49/22.24 | Applying alpha-rule on (4562) yields:
% 62.49/22.24 | (4563) ~ (all_1594_2_1300 = 0) | ~ (all_1594_3_1301 = 0) | all_1594_0_1298 = all_1594_1_1299
% 62.49/22.24 | (4564) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_1594_1_1299
% 62.50/22.24 | (4565) leq(n0, all_0_7_7) = all_1594_3_1301
% 62.50/22.24 | (4566) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_1594_0_1298
% 62.50/22.24 | (4567) leq(n0, all_0_6_6) = all_1594_2_1300
% 62.50/22.24 |
% 62.50/22.24 | Instantiating formula (126) with r_ds1_filter, all_0_6_6, all_0_7_7, all_1594_0_1298, all_0_0_0 and discharging atoms a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_1594_0_1298, a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 62.50/22.24 | (4568) all_1594_0_1298 = all_0_0_0
% 62.50/22.24 |
% 62.50/22.24 | Instantiating formula (126) with r_ds1_filter, all_0_7_7, all_0_6_6, all_1594_1_1299, all_0_1_1 and discharging atoms a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_1594_1_1299, a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 62.50/22.24 | (4569) all_1594_1_1299 = all_0_1_1
% 62.50/22.24 |
% 62.50/22.24 | Instantiating formula (30) with n0, all_0_6_6, all_1594_2_1300, 0 and discharging atoms leq(n0, all_0_6_6) = all_1594_2_1300, leq(n0, all_0_6_6) = 0, yields:
% 62.50/22.24 | (4570) all_1594_2_1300 = 0
% 62.50/22.24 |
% 62.50/22.24 | Instantiating formula (30) with n0, all_0_7_7, all_1594_3_1301, 0 and discharging atoms leq(n0, all_0_7_7) = all_1594_3_1301, leq(n0, all_0_7_7) = 0, yields:
% 62.50/22.24 | (4571) all_1594_3_1301 = 0
% 62.50/22.24 |
% 62.50/22.24 +-Applying beta-rule and splitting (4563), into two cases.
% 62.50/22.24 |-Branch one:
% 62.50/22.24 | (4572) ~ (all_1594_2_1300 = 0)
% 62.50/22.24 |
% 62.50/22.24 | Equations (4570) can reduce 4572 to:
% 62.50/22.24 | (2875) $false
% 62.50/22.24 |
% 62.50/22.24 |-The branch is then unsatisfiable
% 62.50/22.24 |-Branch two:
% 62.50/22.24 | (4570) all_1594_2_1300 = 0
% 62.50/22.24 | (4575) ~ (all_1594_3_1301 = 0) | all_1594_0_1298 = all_1594_1_1299
% 62.50/22.24 |
% 62.50/22.24 +-Applying beta-rule and splitting (4575), into two cases.
% 62.50/22.24 |-Branch one:
% 62.50/22.24 | (4576) ~ (all_1594_3_1301 = 0)
% 62.50/22.24 |
% 62.50/22.24 | Equations (4571) can reduce 4576 to:
% 62.50/22.24 | (2875) $false
% 62.50/22.24 |
% 62.50/22.24 |-The branch is then unsatisfiable
% 62.50/22.24 |-Branch two:
% 62.50/22.24 | (4571) all_1594_3_1301 = 0
% 62.50/22.24 | (4579) all_1594_0_1298 = all_1594_1_1299
% 62.50/22.24 |
% 62.50/22.24 | Combining equations (4579,4568) yields a new equation:
% 62.50/22.24 | (4580) all_1594_1_1299 = all_0_0_0
% 62.50/22.24 |
% 62.50/22.24 | Simplifying 4580 yields:
% 62.50/22.24 | (4581) all_1594_1_1299 = all_0_0_0
% 62.50/22.24 |
% 62.50/22.24 | Combining equations (4581,4569) yields a new equation:
% 62.50/22.24 | (2884) all_0_0_0 = all_0_1_1
% 62.50/22.24 |
% 62.50/22.24 | Simplifying 2884 yields:
% 62.50/22.24 | (2885) all_0_0_0 = all_0_1_1
% 62.50/22.24 |
% 62.50/22.24 | Equations (2885) can reduce 267 to:
% 62.50/22.24 | (2875) $false
% 62.50/22.24 |
% 62.50/22.24 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (4585) 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
% 62.50/22.26 |
% 62.50/22.26 | Applying alpha-rule on (4585) yields:
% 62.50/22.26 | (261) all_0_4_4 = 0
% 62.50/22.26 | (263) all_0_3_3 = 0
% 62.50/22.26 | (264) leq(n0, all_0_6_6) = 0
% 62.50/22.26 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.50/22.26 | (267) ~ (all_0_0_0 = all_0_1_1)
% 62.50/22.26 | (268) all_0_5_5 = 0
% 62.50/22.26 | (4592) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 62.50/22.26 | (4593) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 62.50/22.26 | (269) all_0_2_2 = 0
% 62.50/22.26 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.50/22.26 | (271) leq(n0, all_0_7_7) = 0
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (265) follows:
% 62.50/22.26 | (272) leq(all_0_6_6, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (270) follows:
% 62.50/22.26 | (273) leq(all_0_7_7, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 +-Applying beta-rule and splitting (145), into two cases.
% 62.50/22.26 |-Branch one:
% 62.50/22.26 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (274) follows:
% 62.50/22.26 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.26 |
% 62.50/22.26 | Using (132) and (275) yields:
% 62.50/22.26 | (276) $false
% 62.50/22.26 |
% 62.50/22.26 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.26 | (278) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n5) = v3 & a_select3(pminus_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.26 |
% 62.50/22.26 | Instantiating (278) with all_52_0_1306, all_52_1_1307, all_52_2_1308, all_52_3_1309 yields:
% 62.50/22.26 | (4604) a_select3(pminus_ds1_filter, n5, n5) = all_52_0_1306 & a_select3(pminus_ds1_filter, n5, n5) = all_52_1_1307 & leq(n0, n5) = all_52_2_1308 & leq(n0, n5) = all_52_3_1309 & ( ~ (all_52_2_1308 = 0) | ~ (all_52_3_1309 = 0) | all_52_0_1306 = all_52_1_1307)
% 62.50/22.26 |
% 62.50/22.26 | Applying alpha-rule on (4604) yields:
% 62.50/22.26 | (4605) leq(n0, n5) = all_52_2_1308
% 62.50/22.26 | (4606) a_select3(pminus_ds1_filter, n5, n5) = all_52_1_1307
% 62.50/22.26 | (4607) leq(n0, n5) = all_52_3_1309
% 62.50/22.26 | (4608) a_select3(pminus_ds1_filter, n5, n5) = all_52_0_1306
% 62.50/22.26 | (4609) ~ (all_52_2_1308 = 0) | ~ (all_52_3_1309 = 0) | all_52_0_1306 = all_52_1_1307
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (277) follows:
% 62.50/22.26 | (132) leq(n5, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 +-Applying beta-rule and splitting (146), into two cases.
% 62.50/22.26 |-Branch one:
% 62.50/22.26 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (274) follows:
% 62.50/22.26 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.26 |
% 62.50/22.26 | Using (132) and (275) yields:
% 62.50/22.26 | (276) $false
% 62.50/22.26 |
% 62.50/22.26 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.26 | (290) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n5) = v3 & a_select3(q_ds1_filter, n5, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.26 |
% 62.50/22.26 | Instantiating (290) with all_57_0_1310, all_57_1_1311, all_57_2_1312, all_57_3_1313 yields:
% 62.50/22.26 | (4616) a_select3(q_ds1_filter, n5, n5) = all_57_0_1310 & a_select3(q_ds1_filter, n5, n5) = all_57_1_1311 & leq(n0, n5) = all_57_2_1312 & leq(n0, n5) = all_57_3_1313 & ( ~ (all_57_2_1312 = 0) | ~ (all_57_3_1313 = 0) | all_57_0_1310 = all_57_1_1311)
% 62.50/22.26 |
% 62.50/22.26 | Applying alpha-rule on (4616) yields:
% 62.50/22.26 | (4617) leq(n0, n5) = all_57_2_1312
% 62.50/22.26 | (4618) ~ (all_57_2_1312 = 0) | ~ (all_57_3_1313 = 0) | all_57_0_1310 = all_57_1_1311
% 62.50/22.26 | (4619) a_select3(q_ds1_filter, n5, n5) = all_57_1_1311
% 62.50/22.26 | (4620) leq(n0, n5) = all_57_3_1313
% 62.50/22.26 | (4621) a_select3(q_ds1_filter, n5, n5) = all_57_0_1310
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (277) follows:
% 62.50/22.26 | (132) leq(n5, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 +-Applying beta-rule and splitting (151), into two cases.
% 62.50/22.26 |-Branch one:
% 62.50/22.26 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (298) follows:
% 62.50/22.26 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.26 |
% 62.50/22.26 | Using (133) and (299) yields:
% 62.50/22.26 | (276) $false
% 62.50/22.26 |
% 62.50/22.26 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.26 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n4) = v3 & a_select3(pminus_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (301) follows:
% 62.50/22.26 | (133) leq(n4, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 +-Applying beta-rule and splitting (152), into two cases.
% 62.50/22.26 |-Branch one:
% 62.50/22.26 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (298) follows:
% 62.50/22.26 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.26 |
% 62.50/22.26 | Using (133) and (299) yields:
% 62.50/22.26 | (276) $false
% 62.50/22.26 |
% 62.50/22.26 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.26 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n4) = v3 & a_select3(q_ds1_filter, n4, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (301) follows:
% 62.50/22.26 | (133) leq(n4, n5) = 0
% 62.50/22.26 |
% 62.50/22.26 +-Applying beta-rule and splitting (175), into two cases.
% 62.50/22.26 |-Branch one:
% 62.50/22.26 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.26 |
% 62.50/22.26 | From (143) and (310) follows:
% 62.50/22.26 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.26 |
% 62.50/22.26 | Using (135) and (311) yields:
% 62.50/22.26 | (276) $false
% 62.50/22.26 |
% 62.50/22.26 |-The branch is then unsatisfiable
% 62.50/22.26 |-Branch two:
% 62.50/22.26 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.26 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n2) = v3 & a_select3(pminus_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (161), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (320) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n3) = v3 & a_select3(pminus_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (162), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (326) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n3) = v3 & a_select3(q_ds1_filter, n3, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (176), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (332) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n2) = v3 & a_select3(q_ds1_filter, n2, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (194), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (338) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n1) = v3 & a_select3(pminus_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (195), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (344) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n1) = v3 & a_select3(q_ds1_filter, n1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (219), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (346) follows:
% 62.50/22.27 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (137) and (347) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.27 | (350) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (349) follows:
% 62.50/22.27 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (220), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (346) follows:
% 62.50/22.27 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (137) and (347) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.27 | (356) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (349) follows:
% 62.50/22.27 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (250), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (358) follows:
% 62.50/22.27 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (138) and (359) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.27 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n0, n0) = v3 & a_select3(pminus_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (361) follows:
% 62.50/22.27 | (138) leq(n0, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (251), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (358) follows:
% 62.50/22.27 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (138) and (359) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.27 | (368) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n0, n0) = v3 & a_select3(q_ds1_filter, n0, n0) = v2 & leq(n0, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (361) follows:
% 62.50/22.27 | (138) leq(n0, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (234), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (374) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (235), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (380) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (214), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (386) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (193), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (392) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (236), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (398) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (237), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (404) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (240), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (410) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (238), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (416) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (239), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (422) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (212), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (428) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (241), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (434) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (246), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (346) follows:
% 62.50/22.27 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (137) and (347) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.27 | (440) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (349) follows:
% 62.50/22.27 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (247), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (346) follows:
% 62.50/22.27 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (137) and (347) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.27 | (446) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (349) follows:
% 62.50/22.27 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (242), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (452) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (243), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (458) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (244), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (464) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (213), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (310) follows:
% 62.50/22.27 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (135) and (311) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.27 | (470) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (313) follows:
% 62.50/22.27 | (135) leq(n2, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (208), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (316) follows:
% 62.50/22.27 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (134) and (317) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.27 | (476) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (319) follows:
% 62.50/22.27 | (134) leq(n3, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (216), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (334) follows:
% 62.50/22.27 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.27 |
% 62.50/22.27 | Using (136) and (335) yields:
% 62.50/22.27 | (276) $false
% 62.50/22.27 |
% 62.50/22.27 |-The branch is then unsatisfiable
% 62.50/22.27 |-Branch two:
% 62.50/22.27 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.27 | (482) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.27 |
% 62.50/22.27 | From (143) and (337) follows:
% 62.50/22.27 | (136) leq(n1, n5) = 0
% 62.50/22.27 |
% 62.50/22.27 +-Applying beta-rule and splitting (217), into two cases.
% 62.50/22.27 |-Branch one:
% 62.50/22.27 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (334) follows:
% 62.50/22.28 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (136) and (335) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.28 | (488) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (337) follows:
% 62.50/22.28 | (136) leq(n1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (209), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (316) follows:
% 62.50/22.28 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (134) and (317) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.28 | (494) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (319) follows:
% 62.50/22.28 | (134) leq(n3, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (210), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (316) follows:
% 62.50/22.28 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (134) and (317) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.28 | (500) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (319) follows:
% 62.50/22.28 | (134) leq(n3, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (211), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (310) follows:
% 62.50/22.28 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (135) and (311) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.28 | (506) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (313) follows:
% 62.50/22.28 | (135) leq(n2, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (199), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (512) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (215), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (334) follows:
% 62.50/22.28 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (136) and (335) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.28 | (518) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (337) follows:
% 62.50/22.28 | (136) leq(n1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (204), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (298) follows:
% 62.50/22.28 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (133) and (299) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.28 | (524) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (301) follows:
% 62.50/22.28 | (133) leq(n4, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (245), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (334) follows:
% 62.50/22.28 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (136) and (335) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.28 | (530) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (337) follows:
% 62.50/22.28 | (136) leq(n1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (248), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (346) follows:
% 62.50/22.28 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (137) and (347) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.28 | (536) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (349) follows:
% 62.50/22.28 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (249), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (346) follows:
% 62.50/22.28 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (137) and (347) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.28 | (542) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (349) follows:
% 62.50/22.28 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (205), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (298) follows:
% 62.50/22.28 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (133) and (299) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.28 | (548) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (301) follows:
% 62.50/22.28 | (133) leq(n4, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (218), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (334) follows:
% 62.50/22.28 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (136) and (335) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.28 | (554) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (337) follows:
% 62.50/22.28 | (136) leq(n1, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (200), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (560) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (169), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (298) follows:
% 62.50/22.28 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (133) and (299) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.28 | (566) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (301) follows:
% 62.50/22.28 | (133) leq(n4, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (170), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (298) follows:
% 62.50/22.28 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (133) and (299) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.28 | (572) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (301) follows:
% 62.50/22.28 | (133) leq(n4, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (163), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (578) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (164), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (584) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (173), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (316) follows:
% 62.50/22.28 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (134) and (317) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.28 | (590) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (319) follows:
% 62.50/22.28 | (134) leq(n3, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (174), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (316) follows:
% 62.50/22.28 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (134) and (317) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.28 | (596) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (319) follows:
% 62.50/22.28 | (134) leq(n3, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (165), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (602) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (149), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (608) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (167), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (298) follows:
% 62.50/22.28 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (133) and (299) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.28 | (614) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (301) follows:
% 62.50/22.28 | (133) leq(n4, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (201), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (620) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (202), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (626) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (277) follows:
% 62.50/22.28 | (132) leq(n5, n5) = 0
% 62.50/22.28 |
% 62.50/22.28 +-Applying beta-rule and splitting (150), into two cases.
% 62.50/22.28 |-Branch one:
% 62.50/22.28 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.28 |
% 62.50/22.28 | From (143) and (274) follows:
% 62.50/22.28 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.28 |
% 62.50/22.28 | Using (132) and (275) yields:
% 62.50/22.28 | (276) $false
% 62.50/22.28 |
% 62.50/22.28 |-The branch is then unsatisfiable
% 62.50/22.28 |-Branch two:
% 62.50/22.28 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.28 | (632) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (147), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (638) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (166), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (644) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (168), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (650) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (157), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (656) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (171), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (316) follows:
% 62.50/22.29 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (134) and (317) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.29 | (662) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (319) follows:
% 62.50/22.29 | (134) leq(n3, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (158), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (668) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (172), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (316) follows:
% 62.50/22.29 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (134) and (317) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.29 | (674) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (319) follows:
% 62.50/22.29 | (134) leq(n3, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (203), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (680) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (206), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (686) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (207), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (316) follows:
% 62.50/22.29 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (134) and (317) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.29 | (692) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (319) follows:
% 62.50/22.29 | (134) leq(n3, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (226), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (698) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (153), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (704) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (154), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (710) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (155), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (716) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (156), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (722) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (159), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (728) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (160), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (734) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (227), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (740) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (228), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (746) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (148), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (752) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (229), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (758) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (232), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (764) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (230), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (770) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (231), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (776) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (233), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (298) follows:
% 62.50/22.29 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (133) and (299) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.29 | (782) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (301) follows:
% 62.50/22.29 | (133) leq(n4, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (179), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (788) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (180), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (274) follows:
% 62.50/22.29 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.29 |
% 62.50/22.29 | Using (132) and (275) yields:
% 62.50/22.29 | (276) $false
% 62.50/22.29 |
% 62.50/22.29 |-The branch is then unsatisfiable
% 62.50/22.29 |-Branch two:
% 62.50/22.29 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.29 | (794) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (277) follows:
% 62.50/22.29 | (132) leq(n5, n5) = 0
% 62.50/22.29 |
% 62.50/22.29 +-Applying beta-rule and splitting (189), into two cases.
% 62.50/22.29 |-Branch one:
% 62.50/22.29 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.29 |
% 62.50/22.29 | From (143) and (316) follows:
% 62.50/22.29 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (134) and (317) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.30 | (800) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (319) follows:
% 62.50/22.30 | (134) leq(n3, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (190), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (310) follows:
% 62.50/22.30 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (135) and (311) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.30 | (806) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (313) follows:
% 62.50/22.30 | (135) leq(n2, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (185), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (298) follows:
% 62.50/22.30 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (133) and (299) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.30 | (812) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (301) follows:
% 62.50/22.30 | (133) leq(n4, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (186), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (316) follows:
% 62.50/22.30 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (134) and (317) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.30 | (818) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (319) follows:
% 62.50/22.30 | (134) leq(n3, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (187), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (316) follows:
% 62.50/22.30 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (134) and (317) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.30 | (824) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (319) follows:
% 62.50/22.30 | (134) leq(n3, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (188), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (316) follows:
% 62.50/22.30 | (317) ~ (leq(n3, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (134) and (317) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (319) leq(n3, all_0_9_9) = 0
% 62.50/22.30 | (830) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (319) follows:
% 62.50/22.30 | (134) leq(n3, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (191), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (310) follows:
% 62.50/22.30 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (135) and (311) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.30 | (836) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (313) follows:
% 62.50/22.30 | (135) leq(n2, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (192), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (310) follows:
% 62.50/22.30 | (311) ~ (leq(n2, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (135) and (311) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (313) leq(n2, all_0_9_9) = 0
% 62.50/22.30 | (842) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (313) follows:
% 62.50/22.30 | (135) leq(n2, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (178), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (274) follows:
% 62.50/22.30 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (132) and (275) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.30 | (848) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v2 & a_select3(pminus_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (277) follows:
% 62.50/22.30 | (132) leq(n5, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (183), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (298) follows:
% 62.50/22.30 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (133) and (299) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.30 | (854) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v3 & a_select3(pminus_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (301) follows:
% 62.50/22.30 | (133) leq(n4, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (181), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (274) follows:
% 62.50/22.30 | (275) ~ (leq(n5, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (132) and (275) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (277) leq(n5, all_0_9_9) = 0
% 62.50/22.30 | (860) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v3 & a_select3(q_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (277) follows:
% 62.50/22.30 | (132) leq(n5, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (182), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (298) follows:
% 62.50/22.30 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (133) and (299) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.30 | (866) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v2 & a_select3(pminus_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (301) follows:
% 62.50/22.30 | (133) leq(n4, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (184), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (298) follows:
% 62.50/22.30 | (299) ~ (leq(n4, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (133) and (299) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (301) leq(n4, all_0_9_9) = 0
% 62.50/22.30 | (872) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v2 & a_select3(q_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (301) follows:
% 62.50/22.30 | (133) leq(n4, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (374), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (878) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v2 & a_select3(pminus_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (380), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (884) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n0) = v3 & a_select3(pminus_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (386), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (346) follows:
% 62.50/22.30 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (137) and (347) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.30 | (890) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (349) follows:
% 62.50/22.30 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (392), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (334) follows:
% 62.50/22.30 | (335) ~ (leq(n1, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (136) and (335) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (337) leq(n1, all_0_9_9) = 0
% 62.50/22.30 | (896) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v3 & a_select3(q_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (337) follows:
% 62.50/22.30 | (136) leq(n1, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (398), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (902) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v2 & a_select3(q_ds1_filter, n0, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (404), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (908) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n0) = v3 & a_select3(q_ds1_filter, n0, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (410), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (914) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v2 & a_select3(q_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (416), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (920) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v2 & a_select3(pminus_ds1_filter, n0, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (422), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (926) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n0) = v3 & a_select3(pminus_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (428), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (346) follows:
% 62.50/22.30 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (137) and (347) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.30 | (932) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (349) follows:
% 62.50/22.30 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (434), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (938) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n0) = v3 & a_select3(q_ds1_filter, n0, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (440), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (944) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (446), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (950) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(pminus_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (452), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.30 | (956) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v2 & a_select3(pminus_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (361) follows:
% 62.50/22.30 | (138) leq(n0, n5) = 0
% 62.50/22.30 |
% 62.50/22.30 +-Applying beta-rule and splitting (458), into two cases.
% 62.50/22.30 |-Branch one:
% 62.50/22.30 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.30 |
% 62.50/22.30 | From (143) and (358) follows:
% 62.50/22.30 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.30 |
% 62.50/22.30 | Using (138) and (359) yields:
% 62.50/22.30 | (276) $false
% 62.50/22.30 |
% 62.50/22.30 |-The branch is then unsatisfiable
% 62.50/22.30 |-Branch two:
% 62.50/22.30 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.31 | (962) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, n0) = v3 & a_select3(pminus_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (361) follows:
% 62.50/22.31 | (138) leq(n0, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (464), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (358) follows:
% 62.50/22.31 | (359) ~ (leq(n0, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (138) and (359) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.50/22.31 | (361) leq(n0, all_0_9_9) = 0
% 62.50/22.31 | (968) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v2 & a_select3(q_ds1_filter, n0, n1) = v3 & leq(n0, n1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (361) follows:
% 62.50/22.31 | (138) leq(n0, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (470), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (346) follows:
% 62.50/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (137) and (347) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.50/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.31 | (974) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (349) follows:
% 62.50/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (476), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (346) follows:
% 62.50/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (137) and (347) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.50/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.31 | (980) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (349) follows:
% 62.50/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (482), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (346) follows:
% 62.50/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (137) and (347) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.50/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.31 | (986) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (349) follows:
% 62.50/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (488), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (346) follows:
% 62.50/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (137) and (347) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.50/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.50/22.31 | (992) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (349) follows:
% 62.50/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.50/22.31 |
% 62.50/22.31 +-Applying beta-rule and splitting (494), into two cases.
% 62.50/22.31 |-Branch one:
% 62.50/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.50/22.31 |
% 62.50/22.31 | From (143) and (346) follows:
% 62.50/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.50/22.31 |
% 62.50/22.31 | Using (137) and (347) yields:
% 62.50/22.31 | (276) $false
% 62.50/22.31 |
% 62.50/22.31 |-The branch is then unsatisfiable
% 62.50/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (998) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (500), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1004) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (506), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1010) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (512), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1016) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | Instantiating (1016) with all_624_0_1493, all_624_1_1494, all_624_2_1495, all_624_3_1496 yields:
% 62.59/22.31 | (5342) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_624_1_1494 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_624_0_1493 & leq(n0, n5) = all_624_3_1496 & leq(n0, tptp_minus_1) = all_624_2_1495 & ( ~ (all_624_2_1495 = 0) | ~ (all_624_3_1496 = 0) | all_624_0_1493 = all_624_1_1494)
% 62.59/22.31 |
% 62.59/22.31 | Applying alpha-rule on (5342) yields:
% 62.59/22.31 | (5343) leq(n0, n5) = all_624_3_1496
% 62.59/22.31 | (5344) a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_624_0_1493
% 62.59/22.31 | (5345) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_624_1_1494
% 62.59/22.31 | (5346) ~ (all_624_2_1495 = 0) | ~ (all_624_3_1496 = 0) | all_624_0_1493 = all_624_1_1494
% 62.59/22.31 | (5347) leq(n0, tptp_minus_1) = all_624_2_1495
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (518), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1028) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n1, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n1) = v3 & leq(n0, n1) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (524), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1034) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (530), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (358) follows:
% 62.59/22.31 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (138) and (359) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.31 | (1040) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, n0) = v3 & a_select3(q_ds1_filter, n0, n1) = v2 & leq(n0, n1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (361) follows:
% 62.59/22.31 | (138) leq(n0, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (536), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (358) follows:
% 62.59/22.31 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (138) and (359) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.31 | (1046) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v2 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v3 & leq(n0, tptp_minus_1) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (361) follows:
% 62.59/22.31 | (138) leq(n0, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (542), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (358) follows:
% 62.59/22.31 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (138) and (359) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.31 | (1052) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, tptp_minus_1, n0) = v3 & a_select3(q_ds1_filter, n0, tptp_minus_1) = v2 & leq(n0, tptp_minus_1) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (361) follows:
% 62.59/22.31 | (138) leq(n0, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (548), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1058) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (554), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1064) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n1, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n1) = v2 & leq(n0, n1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (349) follows:
% 62.59/22.31 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.31 |
% 62.59/22.31 +-Applying beta-rule and splitting (560), into two cases.
% 62.59/22.31 |-Branch one:
% 62.59/22.31 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.31 |
% 62.59/22.31 | From (143) and (346) follows:
% 62.59/22.31 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.31 |
% 62.59/22.31 | Using (137) and (347) yields:
% 62.59/22.31 | (276) $false
% 62.59/22.31 |
% 62.59/22.31 |-The branch is then unsatisfiable
% 62.59/22.31 |-Branch two:
% 62.59/22.31 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.31 | (1070) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.31 |
% 62.59/22.31 | Instantiating (1070) with all_704_0_1557, all_704_1_1558, all_704_2_1559, all_704_3_1560 yields:
% 62.59/22.31 | (5396) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_704_0_1557 & a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_704_1_1558 & leq(n0, n5) = all_704_2_1559 & leq(n0, tptp_minus_1) = all_704_3_1560 & ( ~ (all_704_2_1559 = 0) | ~ (all_704_3_1560 = 0) | all_704_0_1557 = all_704_1_1558)
% 62.59/22.31 |
% 62.59/22.31 | Applying alpha-rule on (5396) yields:
% 62.59/22.31 | (5397) a_select3(pminus_ds1_filter, tptp_minus_1, n5) = all_704_1_1558
% 62.59/22.31 | (5398) a_select3(pminus_ds1_filter, n5, tptp_minus_1) = all_704_0_1557
% 62.59/22.32 | (5399) leq(n0, n5) = all_704_2_1559
% 62.59/22.32 | (5400) ~ (all_704_2_1559 = 0) | ~ (all_704_3_1560 = 0) | all_704_0_1557 = all_704_1_1558
% 62.59/22.32 | (5401) leq(n0, tptp_minus_1) = all_704_3_1560
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (349) follows:
% 62.59/22.32 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (566), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1082) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v2 & a_select3(q_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (572), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1088) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n2) = v3 & a_select3(q_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (578), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1094) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v2 & a_select3(pminus_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | Instantiating (1094) with all_719_0_1569, all_719_1_1570, all_719_2_1571, all_719_3_1572 yields:
% 62.59/22.32 | (5420) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_1570 & a_select3(pminus_ds1_filter, n2, n5) = all_719_0_1569 & leq(n0, n5) = all_719_3_1572 & leq(n0, n2) = all_719_2_1571 & ( ~ (all_719_2_1571 = 0) | ~ (all_719_3_1572 = 0) | all_719_0_1569 = all_719_1_1570)
% 62.59/22.32 |
% 62.59/22.32 | Applying alpha-rule on (5420) yields:
% 62.59/22.32 | (5421) leq(n0, n5) = all_719_3_1572
% 62.59/22.32 | (5422) leq(n0, n2) = all_719_2_1571
% 62.59/22.32 | (5423) ~ (all_719_2_1571 = 0) | ~ (all_719_3_1572 = 0) | all_719_0_1569 = all_719_1_1570
% 62.59/22.32 | (5424) a_select3(pminus_ds1_filter, n2, n5) = all_719_0_1569
% 62.59/22.32 | (5425) a_select3(pminus_ds1_filter, n5, n2) = all_719_1_1570
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (584), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n2) = v3 & a_select3(pminus_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | Instantiating (1106) with all_724_0_1573, all_724_1_1574, all_724_2_1575, all_724_3_1576 yields:
% 62.59/22.32 | (5432) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_1573 & a_select3(pminus_ds1_filter, n2, n5) = all_724_1_1574 & leq(n0, n5) = all_724_2_1575 & leq(n0, n2) = all_724_3_1576 & ( ~ (all_724_2_1575 = 0) | ~ (all_724_3_1576 = 0) | all_724_0_1573 = all_724_1_1574)
% 62.59/22.32 |
% 62.59/22.32 | Applying alpha-rule on (5432) yields:
% 62.59/22.32 | (5433) ~ (all_724_2_1575 = 0) | ~ (all_724_3_1576 = 0) | all_724_0_1573 = all_724_1_1574
% 62.59/22.32 | (5434) a_select3(pminus_ds1_filter, n5, n2) = all_724_0_1573
% 62.59/22.32 | (5435) leq(n0, n5) = all_724_2_1575
% 62.59/22.32 | (5436) a_select3(pminus_ds1_filter, n2, n5) = all_724_1_1574
% 62.59/22.32 | (5437) leq(n0, n2) = all_724_3_1576
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (590), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v2 & a_select3(q_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (596), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1124) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n2) = v3 & a_select3(q_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (602), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (310) follows:
% 62.59/22.32 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (135) and (311) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.32 | (1130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v2 & a_select3(q_ds1_filter, n2, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | Instantiating (1130) with all_739_0_1585, all_739_1_1586, all_739_2_1587, all_739_3_1588 yields:
% 62.59/22.32 | (5456) a_select3(q_ds1_filter, n5, n2) = all_739_1_1586 & a_select3(q_ds1_filter, n2, n5) = all_739_0_1585 & leq(n0, n5) = all_739_3_1588 & leq(n0, n2) = all_739_2_1587 & ( ~ (all_739_2_1587 = 0) | ~ (all_739_3_1588 = 0) | all_739_0_1585 = all_739_1_1586)
% 62.59/22.32 |
% 62.59/22.32 | Applying alpha-rule on (5456) yields:
% 62.59/22.32 | (5457) a_select3(q_ds1_filter, n5, n2) = all_739_1_1586
% 62.59/22.32 | (5458) leq(n0, n5) = all_739_3_1588
% 62.59/22.32 | (5459) a_select3(q_ds1_filter, n2, n5) = all_739_0_1585
% 62.59/22.32 | (5460) leq(n0, n2) = all_739_2_1587
% 62.59/22.32 | (5461) ~ (all_739_2_1587 = 0) | ~ (all_739_3_1588 = 0) | all_739_0_1585 = all_739_1_1586
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (313) follows:
% 62.59/22.32 | (135) leq(n2, n5) = 0
% 62.59/22.32 |
% 62.59/22.32 +-Applying beta-rule and splitting (608), into two cases.
% 62.59/22.32 |-Branch one:
% 62.59/22.32 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.59/22.32 |
% 62.59/22.32 | From (143) and (298) follows:
% 62.59/22.32 | (299) ~ (leq(n4, n5) = 0)
% 62.59/22.32 |
% 62.59/22.32 | Using (133) and (299) yields:
% 62.59/22.32 | (276) $false
% 62.59/22.32 |
% 62.59/22.32 |-The branch is then unsatisfiable
% 62.59/22.32 |-Branch two:
% 62.59/22.32 | (301) leq(n4, all_0_9_9) = 0
% 62.59/22.32 | (1142) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v2 & a_select3(q_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.32 |
% 62.59/22.32 | Instantiating (1142) with all_744_0_1589, all_744_1_1590, all_744_2_1591, all_744_3_1592 yields:
% 62.59/22.32 | (5468) a_select3(q_ds1_filter, n5, n4) = all_744_1_1590 & a_select3(q_ds1_filter, n4, n5) = all_744_0_1589 & leq(n0, n5) = all_744_3_1592 & leq(n0, n4) = all_744_2_1591 & ( ~ (all_744_2_1591 = 0) | ~ (all_744_3_1592 = 0) | all_744_0_1589 = all_744_1_1590)
% 62.59/22.32 |
% 62.59/22.32 | Applying alpha-rule on (5468) yields:
% 62.59/22.32 | (5469) ~ (all_744_2_1591 = 0) | ~ (all_744_3_1592 = 0) | all_744_0_1589 = all_744_1_1590
% 62.59/22.32 | (5470) leq(n0, n4) = all_744_2_1591
% 62.59/22.32 | (5471) a_select3(q_ds1_filter, n4, n5) = all_744_0_1589
% 62.59/22.33 | (5472) leq(n0, n5) = all_744_3_1592
% 62.59/22.33 | (5473) a_select3(q_ds1_filter, n5, n4) = all_744_1_1590
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (301) follows:
% 62.59/22.33 | (133) leq(n4, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (614), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (310) follows:
% 62.59/22.33 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (135) and (311) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.33 | (1154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v2 & a_select3(pminus_ds1_filter, n2, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (313) follows:
% 62.59/22.33 | (135) leq(n2, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (620), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (346) follows:
% 62.59/22.33 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (137) and (347) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.33 | (1160) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | Instantiating (1160) with all_754_0_1597, all_754_1_1598, all_754_2_1599, all_754_3_1600 yields:
% 62.59/22.33 | (5486) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_754_1_1598 & a_select3(q_ds1_filter, tptp_minus_1, n5) = all_754_0_1597 & leq(n0, n5) = all_754_3_1600 & leq(n0, tptp_minus_1) = all_754_2_1599 & ( ~ (all_754_2_1599 = 0) | ~ (all_754_3_1600 = 0) | all_754_0_1597 = all_754_1_1598)
% 62.59/22.33 |
% 62.59/22.33 | Applying alpha-rule on (5486) yields:
% 62.59/22.33 | (5487) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_754_1_1598
% 62.59/22.33 | (5488) leq(n0, n5) = all_754_3_1600
% 62.59/22.33 | (5489) ~ (all_754_2_1599 = 0) | ~ (all_754_3_1600 = 0) | all_754_0_1597 = all_754_1_1598
% 62.59/22.33 | (5490) a_select3(q_ds1_filter, tptp_minus_1, n5) = all_754_0_1597
% 62.59/22.33 | (5491) leq(n0, tptp_minus_1) = all_754_2_1599
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (349) follows:
% 62.59/22.33 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (626), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (346) follows:
% 62.59/22.33 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (137) and (347) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.33 | (1172) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | Instantiating (1172) with all_759_0_1601, all_759_1_1602, all_759_2_1603, all_759_3_1604 yields:
% 62.59/22.33 | (5498) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_759_0_1601 & a_select3(q_ds1_filter, tptp_minus_1, n5) = all_759_1_1602 & leq(n0, n5) = all_759_2_1603 & leq(n0, tptp_minus_1) = all_759_3_1604 & ( ~ (all_759_2_1603 = 0) | ~ (all_759_3_1604 = 0) | all_759_0_1601 = all_759_1_1602)
% 62.59/22.33 |
% 62.59/22.33 | Applying alpha-rule on (5498) yields:
% 62.59/22.33 | (5499) ~ (all_759_2_1603 = 0) | ~ (all_759_3_1604 = 0) | all_759_0_1601 = all_759_1_1602
% 62.59/22.33 | (5500) leq(n0, n5) = all_759_2_1603
% 62.59/22.33 | (5501) leq(n0, tptp_minus_1) = all_759_3_1604
% 62.59/22.33 | (5502) a_select3(q_ds1_filter, n5, tptp_minus_1) = all_759_0_1601
% 62.59/22.33 | (5503) a_select3(q_ds1_filter, tptp_minus_1, n5) = all_759_1_1602
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (349) follows:
% 62.59/22.33 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (632), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (298) follows:
% 62.59/22.33 | (299) ~ (leq(n4, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (133) and (299) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (301) leq(n4, all_0_9_9) = 0
% 62.59/22.33 | (1184) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n4) = v3 & a_select3(q_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | Instantiating (1184) with all_764_0_1605, all_764_1_1606, all_764_2_1607, all_764_3_1608 yields:
% 62.59/22.33 | (5510) a_select3(q_ds1_filter, n5, n4) = all_764_0_1605 & a_select3(q_ds1_filter, n4, n5) = all_764_1_1606 & leq(n0, n5) = all_764_2_1607 & leq(n0, n4) = all_764_3_1608 & ( ~ (all_764_2_1607 = 0) | ~ (all_764_3_1608 = 0) | all_764_0_1605 = all_764_1_1606)
% 62.59/22.33 |
% 62.59/22.33 | Applying alpha-rule on (5510) yields:
% 62.59/22.33 | (5511) leq(n0, n5) = all_764_2_1607
% 62.59/22.33 | (5512) a_select3(q_ds1_filter, n4, n5) = all_764_1_1606
% 62.59/22.33 | (5513) ~ (all_764_2_1607 = 0) | ~ (all_764_3_1608 = 0) | all_764_0_1605 = all_764_1_1606
% 62.59/22.33 | (5514) leq(n0, n4) = all_764_3_1608
% 62.59/22.33 | (5515) a_select3(q_ds1_filter, n5, n4) = all_764_0_1605
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (301) follows:
% 62.59/22.33 | (133) leq(n4, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (638), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (298) follows:
% 62.59/22.33 | (299) ~ (leq(n4, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (133) and (299) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (301) leq(n4, all_0_9_9) = 0
% 62.59/22.33 | (1196) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v2 & a_select3(pminus_ds1_filter, n4, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | Instantiating (1196) with all_769_0_1609, all_769_1_1610, all_769_2_1611, all_769_3_1612 yields:
% 62.59/22.33 | (5522) a_select3(pminus_ds1_filter, n5, n4) = all_769_1_1610 & a_select3(pminus_ds1_filter, n4, n5) = all_769_0_1609 & leq(n0, n5) = all_769_3_1612 & leq(n0, n4) = all_769_2_1611 & ( ~ (all_769_2_1611 = 0) | ~ (all_769_3_1612 = 0) | all_769_0_1609 = all_769_1_1610)
% 62.59/22.33 |
% 62.59/22.33 | Applying alpha-rule on (5522) yields:
% 62.59/22.33 | (5523) leq(n0, n4) = all_769_2_1611
% 62.59/22.33 | (5524) ~ (all_769_2_1611 = 0) | ~ (all_769_3_1612 = 0) | all_769_0_1609 = all_769_1_1610
% 62.59/22.33 | (5525) leq(n0, n5) = all_769_3_1612
% 62.59/22.33 | (5526) a_select3(pminus_ds1_filter, n5, n4) = all_769_1_1610
% 62.59/22.33 | (5527) a_select3(pminus_ds1_filter, n4, n5) = all_769_0_1609
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (301) follows:
% 62.59/22.33 | (133) leq(n4, n5) = 0
% 62.59/22.33 |
% 62.59/22.33 +-Applying beta-rule and splitting (644), into two cases.
% 62.59/22.33 |-Branch one:
% 62.59/22.33 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.33 |
% 62.59/22.33 | From (143) and (310) follows:
% 62.59/22.33 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.33 |
% 62.59/22.33 | Using (135) and (311) yields:
% 62.59/22.33 | (276) $false
% 62.59/22.33 |
% 62.59/22.33 |-The branch is then unsatisfiable
% 62.59/22.33 |-Branch two:
% 62.59/22.33 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.33 | (1208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n2) = v3 & a_select3(q_ds1_filter, n2, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.33 |
% 62.59/22.33 | Instantiating (1208) with all_774_0_1613, all_774_1_1614, all_774_2_1615, all_774_3_1616 yields:
% 62.59/22.33 | (5534) a_select3(q_ds1_filter, n5, n2) = all_774_0_1613 & a_select3(q_ds1_filter, n2, n5) = all_774_1_1614 & leq(n0, n5) = all_774_2_1615 & leq(n0, n2) = all_774_3_1616 & ( ~ (all_774_2_1615 = 0) | ~ (all_774_3_1616 = 0) | all_774_0_1613 = all_774_1_1614)
% 62.59/22.33 |
% 62.59/22.33 | Applying alpha-rule on (5534) yields:
% 62.59/22.34 | (5535) leq(n0, n2) = all_774_3_1616
% 62.59/22.34 | (5536) a_select3(q_ds1_filter, n5, n2) = all_774_0_1613
% 62.59/22.34 | (5537) leq(n0, n5) = all_774_2_1615
% 62.59/22.34 | (5538) a_select3(q_ds1_filter, n2, n5) = all_774_1_1614
% 62.59/22.34 | (5539) ~ (all_774_2_1615 = 0) | ~ (all_774_3_1616 = 0) | all_774_0_1613 = all_774_1_1614
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (313) follows:
% 62.59/22.34 | (135) leq(n2, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (650), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (310) follows:
% 62.59/22.34 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (135) and (311) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.34 | (1220) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n2) = v3 & a_select3(pminus_ds1_filter, n2, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (313) follows:
% 62.59/22.34 | (135) leq(n2, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (656), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (316) follows:
% 62.59/22.34 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (134) and (317) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.34 | (1226) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v2 & a_select3(pminus_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (319) follows:
% 62.59/22.34 | (134) leq(n3, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (662), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (310) follows:
% 62.59/22.34 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (135) and (311) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.34 | (1232) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v2 & a_select3(pminus_ds1_filter, n2, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (313) follows:
% 62.59/22.34 | (135) leq(n2, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (668), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (316) follows:
% 62.59/22.34 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (134) and (317) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.34 | (1238) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n3) = v3 & a_select3(pminus_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (319) follows:
% 62.59/22.34 | (134) leq(n3, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (674), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (310) follows:
% 62.59/22.34 | (311) ~ (leq(n2, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (135) and (311) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (313) leq(n2, all_0_9_9) = 0
% 62.59/22.34 | (1244) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n2) = v3 & a_select3(pminus_ds1_filter, n2, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (313) follows:
% 62.59/22.34 | (135) leq(n2, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (680), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (346) follows:
% 62.59/22.34 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (137) and (347) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.34 | (1250) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (349) follows:
% 62.59/22.34 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (686), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (346) follows:
% 62.59/22.34 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (137) and (347) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.34 | (1256) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (349) follows:
% 62.59/22.34 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (692), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (346) follows:
% 62.59/22.34 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (137) and (347) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 62.59/22.34 | (1262) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (349) follows:
% 62.59/22.34 | (137) leq(tptp_minus_1, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (698), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (358) follows:
% 62.59/22.34 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (138) and (359) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.34 | (1268) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v2 & a_select3(pminus_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | Instantiating (1268) with all_819_0_1649, all_819_1_1650, all_819_2_1651, all_819_3_1652 yields:
% 62.59/22.34 | (5594) a_select3(pminus_ds1_filter, n5, n0) = all_819_1_1650 & a_select3(pminus_ds1_filter, n0, n5) = all_819_0_1649 & leq(n0, n5) = all_819_3_1652 & leq(n0, n0) = all_819_2_1651 & ( ~ (all_819_2_1651 = 0) | ~ (all_819_3_1652 = 0) | all_819_0_1649 = all_819_1_1650)
% 62.59/22.34 |
% 62.59/22.34 | Applying alpha-rule on (5594) yields:
% 62.59/22.34 | (5595) a_select3(pminus_ds1_filter, n5, n0) = all_819_1_1650
% 62.59/22.34 | (5596) a_select3(pminus_ds1_filter, n0, n5) = all_819_0_1649
% 62.59/22.34 | (5597) leq(n0, n5) = all_819_3_1652
% 62.59/22.34 | (5598) leq(n0, n0) = all_819_2_1651
% 62.59/22.34 | (5599) ~ (all_819_2_1651 = 0) | ~ (all_819_3_1652 = 0) | all_819_0_1649 = all_819_1_1650
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (361) follows:
% 62.59/22.34 | (138) leq(n0, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (704), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (316) follows:
% 62.59/22.34 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (134) and (317) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.34 | (1280) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v2 & a_select3(pminus_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | Instantiating (1280) with all_824_0_1653, all_824_1_1654, all_824_2_1655, all_824_3_1656 yields:
% 62.59/22.34 | (5606) a_select3(pminus_ds1_filter, n5, n3) = all_824_1_1654 & a_select3(pminus_ds1_filter, n3, n5) = all_824_0_1653 & leq(n0, n5) = all_824_3_1656 & leq(n0, n3) = all_824_2_1655 & ( ~ (all_824_2_1655 = 0) | ~ (all_824_3_1656 = 0) | all_824_0_1653 = all_824_1_1654)
% 62.59/22.34 |
% 62.59/22.34 | Applying alpha-rule on (5606) yields:
% 62.59/22.34 | (5607) a_select3(pminus_ds1_filter, n5, n3) = all_824_1_1654
% 62.59/22.34 | (5608) ~ (all_824_2_1655 = 0) | ~ (all_824_3_1656 = 0) | all_824_0_1653 = all_824_1_1654
% 62.59/22.34 | (5609) leq(n0, n3) = all_824_2_1655
% 62.59/22.34 | (5610) a_select3(pminus_ds1_filter, n3, n5) = all_824_0_1653
% 62.59/22.34 | (5611) leq(n0, n5) = all_824_3_1656
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (319) follows:
% 62.59/22.34 | (134) leq(n3, n5) = 0
% 62.59/22.34 |
% 62.59/22.34 +-Applying beta-rule and splitting (710), into two cases.
% 62.59/22.34 |-Branch one:
% 62.59/22.34 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.34 |
% 62.59/22.34 | From (143) and (316) follows:
% 62.59/22.34 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.34 |
% 62.59/22.34 | Using (134) and (317) yields:
% 62.59/22.34 | (276) $false
% 62.59/22.34 |
% 62.59/22.34 |-The branch is then unsatisfiable
% 62.59/22.34 |-Branch two:
% 62.59/22.34 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.34 | (1292) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n3) = v3 & a_select3(pminus_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.34 |
% 62.59/22.34 | Instantiating (1292) with all_829_0_1657, all_829_1_1658, all_829_2_1659, all_829_3_1660 yields:
% 62.59/22.34 | (5618) a_select3(pminus_ds1_filter, n5, n3) = all_829_0_1657 & a_select3(pminus_ds1_filter, n3, n5) = all_829_1_1658 & leq(n0, n5) = all_829_2_1659 & leq(n0, n3) = all_829_3_1660 & ( ~ (all_829_2_1659 = 0) | ~ (all_829_3_1660 = 0) | all_829_0_1657 = all_829_1_1658)
% 62.59/22.34 |
% 62.59/22.34 | Applying alpha-rule on (5618) yields:
% 62.59/22.34 | (5619) ~ (all_829_2_1659 = 0) | ~ (all_829_3_1660 = 0) | all_829_0_1657 = all_829_1_1658
% 62.59/22.35 | (5620) leq(n0, n5) = all_829_2_1659
% 62.59/22.35 | (5621) a_select3(pminus_ds1_filter, n5, n3) = all_829_0_1657
% 62.59/22.35 | (5622) a_select3(pminus_ds1_filter, n3, n5) = all_829_1_1658
% 62.59/22.35 | (5623) leq(n0, n3) = all_829_3_1660
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (319) follows:
% 62.59/22.35 | (134) leq(n3, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (716), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (316) follows:
% 62.59/22.35 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (134) and (317) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.35 | (1304) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v2 & a_select3(q_ds1_filter, n3, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | Instantiating (1304) with all_834_0_1661, all_834_1_1662, all_834_2_1663, all_834_3_1664 yields:
% 62.59/22.35 | (5630) a_select3(q_ds1_filter, n5, n3) = all_834_1_1662 & a_select3(q_ds1_filter, n3, n5) = all_834_0_1661 & leq(n0, n5) = all_834_3_1664 & leq(n0, n3) = all_834_2_1663 & ( ~ (all_834_2_1663 = 0) | ~ (all_834_3_1664 = 0) | all_834_0_1661 = all_834_1_1662)
% 62.59/22.35 |
% 62.59/22.35 | Applying alpha-rule on (5630) yields:
% 62.59/22.35 | (5631) a_select3(q_ds1_filter, n5, n3) = all_834_1_1662
% 62.59/22.35 | (5632) a_select3(q_ds1_filter, n3, n5) = all_834_0_1661
% 62.59/22.35 | (5633) leq(n0, n3) = all_834_2_1663
% 62.59/22.35 | (5634) leq(n0, n5) = all_834_3_1664
% 62.59/22.35 | (5635) ~ (all_834_2_1663 = 0) | ~ (all_834_3_1664 = 0) | all_834_0_1661 = all_834_1_1662
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (319) follows:
% 62.59/22.35 | (134) leq(n3, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (722), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (316) follows:
% 62.59/22.35 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (134) and (317) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.35 | (1316) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n3) = v3 & a_select3(q_ds1_filter, n3, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | Instantiating (1316) with all_839_0_1665, all_839_1_1666, all_839_2_1667, all_839_3_1668 yields:
% 62.59/22.35 | (5642) a_select3(q_ds1_filter, n5, n3) = all_839_0_1665 & a_select3(q_ds1_filter, n3, n5) = all_839_1_1666 & leq(n0, n5) = all_839_2_1667 & leq(n0, n3) = all_839_3_1668 & ( ~ (all_839_2_1667 = 0) | ~ (all_839_3_1668 = 0) | all_839_0_1665 = all_839_1_1666)
% 62.59/22.35 |
% 62.59/22.35 | Applying alpha-rule on (5642) yields:
% 62.59/22.35 | (5643) leq(n0, n3) = all_839_3_1668
% 62.59/22.35 | (5644) leq(n0, n5) = all_839_2_1667
% 62.59/22.35 | (5645) ~ (all_839_2_1667 = 0) | ~ (all_839_3_1668 = 0) | all_839_0_1665 = all_839_1_1666
% 62.59/22.35 | (5646) a_select3(q_ds1_filter, n3, n5) = all_839_1_1666
% 62.59/22.35 | (5647) a_select3(q_ds1_filter, n5, n3) = all_839_0_1665
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (319) follows:
% 62.59/22.35 | (134) leq(n3, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (728), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (316) follows:
% 62.59/22.35 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (134) and (317) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.35 | (1328) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v2 & a_select3(q_ds1_filter, n3, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (319) follows:
% 62.59/22.35 | (134) leq(n3, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (734), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (316) follows:
% 62.59/22.35 | (317) ~ (leq(n3, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (134) and (317) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (319) leq(n3, all_0_9_9) = 0
% 62.59/22.35 | (1334) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n3) = v3 & a_select3(q_ds1_filter, n3, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (319) follows:
% 62.59/22.35 | (134) leq(n3, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (740), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (358) follows:
% 62.59/22.35 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (138) and (359) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.35 | (1340) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n0) = v3 & a_select3(pminus_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | Instantiating (1340) with all_854_0_1677, all_854_1_1678, all_854_2_1679, all_854_3_1680 yields:
% 62.59/22.35 | (5666) a_select3(pminus_ds1_filter, n5, n0) = all_854_0_1677 & a_select3(pminus_ds1_filter, n0, n5) = all_854_1_1678 & leq(n0, n5) = all_854_2_1679 & leq(n0, n0) = all_854_3_1680 & ( ~ (all_854_2_1679 = 0) | ~ (all_854_3_1680 = 0) | all_854_0_1677 = all_854_1_1678)
% 62.59/22.35 |
% 62.59/22.35 | Applying alpha-rule on (5666) yields:
% 62.59/22.35 | (5667) leq(n0, n0) = all_854_3_1680
% 62.59/22.35 | (5668) leq(n0, n5) = all_854_2_1679
% 62.59/22.35 | (5669) a_select3(pminus_ds1_filter, n5, n0) = all_854_0_1677
% 62.59/22.35 | (5670) a_select3(pminus_ds1_filter, n0, n5) = all_854_1_1678
% 62.59/22.35 | (5671) ~ (all_854_2_1679 = 0) | ~ (all_854_3_1680 = 0) | all_854_0_1677 = all_854_1_1678
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (361) follows:
% 62.59/22.35 | (138) leq(n0, n5) = 0
% 62.59/22.35 |
% 62.59/22.35 +-Applying beta-rule and splitting (746), into two cases.
% 62.59/22.35 |-Branch one:
% 62.59/22.35 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.35 |
% 62.59/22.35 | From (143) and (358) follows:
% 62.59/22.35 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.35 |
% 62.59/22.35 | Using (138) and (359) yields:
% 62.59/22.35 | (276) $false
% 62.59/22.35 |
% 62.59/22.35 |-The branch is then unsatisfiable
% 62.59/22.35 |-Branch two:
% 62.59/22.35 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.35 | (1352) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v2 & a_select3(q_ds1_filter, n0, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.35 |
% 62.59/22.35 | Instantiating (1352) with all_859_0_1681, all_859_1_1682, all_859_2_1683, all_859_3_1684 yields:
% 62.59/22.35 | (5678) a_select3(q_ds1_filter, n5, n0) = all_859_1_1682 & a_select3(q_ds1_filter, n0, n5) = all_859_0_1681 & leq(n0, n5) = all_859_3_1684 & leq(n0, n0) = all_859_2_1683 & ( ~ (all_859_2_1683 = 0) | ~ (all_859_3_1684 = 0) | all_859_0_1681 = all_859_1_1682)
% 62.59/22.35 |
% 62.59/22.35 | Applying alpha-rule on (5678) yields:
% 62.59/22.35 | (5679) a_select3(q_ds1_filter, n5, n0) = all_859_1_1682
% 62.59/22.35 | (5680) leq(n0, n0) = all_859_2_1683
% 62.59/22.35 | (5681) ~ (all_859_2_1683 = 0) | ~ (all_859_3_1684 = 0) | all_859_0_1681 = all_859_1_1682
% 62.59/22.36 | (5682) a_select3(q_ds1_filter, n0, n5) = all_859_0_1681
% 62.59/22.36 | (5683) leq(n0, n5) = all_859_3_1684
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (752), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (298) follows:
% 62.59/22.36 | (299) ~ (leq(n4, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (133) and (299) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (301) leq(n4, all_0_9_9) = 0
% 62.59/22.36 | (1364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n4) = v3 & a_select3(pminus_ds1_filter, n4, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | Instantiating (1364) with all_864_0_1685, all_864_1_1686, all_864_2_1687, all_864_3_1688 yields:
% 62.59/22.36 | (5690) a_select3(pminus_ds1_filter, n5, n4) = all_864_0_1685 & a_select3(pminus_ds1_filter, n4, n5) = all_864_1_1686 & leq(n0, n5) = all_864_2_1687 & leq(n0, n4) = all_864_3_1688 & ( ~ (all_864_2_1687 = 0) | ~ (all_864_3_1688 = 0) | all_864_0_1685 = all_864_1_1686)
% 62.59/22.36 |
% 62.59/22.36 | Applying alpha-rule on (5690) yields:
% 62.59/22.36 | (5691) a_select3(pminus_ds1_filter, n4, n5) = all_864_1_1686
% 62.59/22.36 | (5692) leq(n0, n5) = all_864_2_1687
% 62.59/22.36 | (5693) a_select3(pminus_ds1_filter, n5, n4) = all_864_0_1685
% 62.59/22.36 | (5694) leq(n0, n4) = all_864_3_1688
% 62.59/22.36 | (5695) ~ (all_864_2_1687 = 0) | ~ (all_864_3_1688 = 0) | all_864_0_1685 = all_864_1_1686
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (301) follows:
% 62.59/22.36 | (133) leq(n4, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (758), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (358) follows:
% 62.59/22.36 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (138) and (359) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.36 | (1376) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n0) = v3 & a_select3(q_ds1_filter, n0, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | Instantiating (1376) with all_869_0_1689, all_869_1_1690, all_869_2_1691, all_869_3_1692 yields:
% 62.59/22.36 | (5702) a_select3(q_ds1_filter, n5, n0) = all_869_0_1689 & a_select3(q_ds1_filter, n0, n5) = all_869_1_1690 & leq(n0, n5) = all_869_2_1691 & leq(n0, n0) = all_869_3_1692 & ( ~ (all_869_2_1691 = 0) | ~ (all_869_3_1692 = 0) | all_869_0_1689 = all_869_1_1690)
% 62.59/22.36 |
% 62.59/22.36 | Applying alpha-rule on (5702) yields:
% 62.59/22.36 | (5703) a_select3(q_ds1_filter, n5, n0) = all_869_0_1689
% 62.59/22.36 | (5704) leq(n0, n0) = all_869_3_1692
% 62.59/22.36 | (5705) a_select3(q_ds1_filter, n0, n5) = all_869_1_1690
% 62.59/22.36 | (5706) leq(n0, n5) = all_869_2_1691
% 62.59/22.36 | (5707) ~ (all_869_2_1691 = 0) | ~ (all_869_3_1692 = 0) | all_869_0_1689 = all_869_1_1690
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (764), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (358) follows:
% 62.59/22.36 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (138) and (359) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.36 | (1388) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v2 & a_select3(q_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (770), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (358) follows:
% 62.59/22.36 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (138) and (359) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.36 | (1394) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v2 & a_select3(pminus_ds1_filter, n0, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (776), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (358) follows:
% 62.59/22.36 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (138) and (359) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.36 | (1400) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n0) = v3 & a_select3(pminus_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (782), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (358) follows:
% 62.59/22.36 | (359) ~ (leq(n0, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (138) and (359) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (361) leq(n0, all_0_9_9) = 0
% 62.59/22.36 | (1406) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n0) = v3 & a_select3(q_ds1_filter, n0, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (361) follows:
% 62.59/22.36 | (138) leq(n0, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (788), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (334) follows:
% 62.59/22.36 | (335) ~ (leq(n1, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (136) and (335) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (337) leq(n1, all_0_9_9) = 0
% 62.59/22.36 | (1412) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v3 & a_select3(pminus_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | Instantiating (1412) with all_894_0_1709, all_894_1_1710, all_894_2_1711, all_894_3_1712 yields:
% 62.59/22.36 | (5738) a_select3(pminus_ds1_filter, n5, n1) = all_894_0_1709 & a_select3(pminus_ds1_filter, n1, n5) = all_894_1_1710 & leq(n0, n5) = all_894_2_1711 & leq(n0, n1) = all_894_3_1712 & ( ~ (all_894_2_1711 = 0) | ~ (all_894_3_1712 = 0) | all_894_0_1709 = all_894_1_1710)
% 62.59/22.36 |
% 62.59/22.36 | Applying alpha-rule on (5738) yields:
% 62.59/22.36 | (5739) ~ (all_894_2_1711 = 0) | ~ (all_894_3_1712 = 0) | all_894_0_1709 = all_894_1_1710
% 62.59/22.36 | (5740) a_select3(pminus_ds1_filter, n5, n1) = all_894_0_1709
% 62.59/22.36 | (5741) leq(n0, n5) = all_894_2_1711
% 62.59/22.36 | (5742) a_select3(pminus_ds1_filter, n1, n5) = all_894_1_1710
% 62.59/22.36 | (5743) leq(n0, n1) = all_894_3_1712
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (337) follows:
% 62.59/22.36 | (136) leq(n1, n5) = 0
% 62.59/22.36 |
% 62.59/22.36 +-Applying beta-rule and splitting (794), into two cases.
% 62.59/22.36 |-Branch one:
% 62.59/22.36 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.59/22.36 |
% 62.59/22.36 | From (143) and (334) follows:
% 62.59/22.36 | (335) ~ (leq(n1, n5) = 0)
% 62.59/22.36 |
% 62.59/22.36 | Using (136) and (335) yields:
% 62.59/22.36 | (276) $false
% 62.59/22.36 |
% 62.59/22.36 |-The branch is then unsatisfiable
% 62.59/22.36 |-Branch two:
% 62.59/22.36 | (337) leq(n1, all_0_9_9) = 0
% 62.59/22.36 | (1424) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v2 & a_select3(q_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.59/22.36 |
% 62.59/22.36 | Instantiating (1424) with all_899_0_1713, all_899_1_1714, all_899_2_1715, all_899_3_1716 yields:
% 62.59/22.36 | (5750) a_select3(q_ds1_filter, n5, n1) = all_899_1_1714 & a_select3(q_ds1_filter, n1, n5) = all_899_0_1713 & leq(n0, n5) = all_899_3_1716 & leq(n0, n1) = all_899_2_1715 & ( ~ (all_899_2_1715 = 0) | ~ (all_899_3_1716 = 0) | all_899_0_1713 = all_899_1_1714)
% 62.59/22.36 |
% 62.80/22.36 | Applying alpha-rule on (5750) yields:
% 62.80/22.36 | (5751) a_select3(q_ds1_filter, n1, n5) = all_899_0_1713
% 62.80/22.36 | (5752) leq(n0, n5) = all_899_3_1716
% 62.80/22.37 | (5753) a_select3(q_ds1_filter, n5, n1) = all_899_1_1714
% 62.80/22.37 | (5754) leq(n0, n1) = all_899_2_1715
% 62.80/22.37 | (5755) ~ (all_899_2_1715 = 0) | ~ (all_899_3_1716 = 0) | all_899_0_1713 = all_899_1_1714
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (800), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v3 & a_select3(q_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (806), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1442) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v2 & a_select3(pminus_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (812), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1448) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v3 & a_select3(q_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (818), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1454) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v2 & a_select3(pminus_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (824), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n3, n1) = v3 & a_select3(pminus_ds1_filter, n1, n3) = v2 & leq(n0, n3) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (830), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1466) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n3, n1) = v2 & a_select3(q_ds1_filter, n1, n3) = v3 & leq(n0, n3) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (836), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1472) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n2, n1) = v3 & a_select3(pminus_ds1_filter, n1, n2) = v2 & leq(n0, n2) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (842), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1478) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n2, n1) = v2 & a_select3(q_ds1_filter, n1, n2) = v3 & leq(n0, n2) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (848), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1484) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n5, n1) = v2 & a_select3(pminus_ds1_filter, n1, n5) = v3 & leq(n0, n5) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | Instantiating (1484) with all_944_0_1749, all_944_1_1750, all_944_2_1751, all_944_3_1752 yields:
% 62.80/22.37 | (5810) a_select3(pminus_ds1_filter, n5, n1) = all_944_1_1750 & a_select3(pminus_ds1_filter, n1, n5) = all_944_0_1749 & leq(n0, n5) = all_944_3_1752 & leq(n0, n1) = all_944_2_1751 & ( ~ (all_944_2_1751 = 0) | ~ (all_944_3_1752 = 0) | all_944_0_1749 = all_944_1_1750)
% 62.80/22.37 |
% 62.80/22.37 | Applying alpha-rule on (5810) yields:
% 62.80/22.37 | (5811) leq(n0, n1) = all_944_2_1751
% 62.80/22.37 | (5812) a_select3(pminus_ds1_filter, n5, n1) = all_944_1_1750
% 62.80/22.37 | (5813) a_select3(pminus_ds1_filter, n1, n5) = all_944_0_1749
% 62.80/22.37 | (5814) ~ (all_944_2_1751 = 0) | ~ (all_944_3_1752 = 0) | all_944_0_1749 = all_944_1_1750
% 62.80/22.37 | (5815) leq(n0, n5) = all_944_3_1752
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (854), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1496) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v3 & a_select3(pminus_ds1_filter, n1, n4) = v2 & leq(n0, n4) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (860), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1502) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n5, n1) = v3 & a_select3(q_ds1_filter, n1, n5) = v2 & leq(n0, n5) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | Instantiating (1502) with all_954_0_1757, all_954_1_1758, all_954_2_1759, all_954_3_1760 yields:
% 62.80/22.37 | (5828) a_select3(q_ds1_filter, n5, n1) = all_954_0_1757 & a_select3(q_ds1_filter, n1, n5) = all_954_1_1758 & leq(n0, n5) = all_954_2_1759 & leq(n0, n1) = all_954_3_1760 & ( ~ (all_954_2_1759 = 0) | ~ (all_954_3_1760 = 0) | all_954_0_1757 = all_954_1_1758)
% 62.80/22.37 |
% 62.80/22.37 | Applying alpha-rule on (5828) yields:
% 62.80/22.37 | (5829) ~ (all_954_2_1759 = 0) | ~ (all_954_3_1760 = 0) | all_954_0_1757 = all_954_1_1758
% 62.80/22.37 | (5830) a_select3(q_ds1_filter, n5, n1) = all_954_0_1757
% 62.80/22.37 | (5831) a_select3(q_ds1_filter, n1, n5) = all_954_1_1758
% 62.80/22.37 | (5832) leq(n0, n5) = all_954_2_1759
% 62.80/22.37 | (5833) leq(n0, n1) = all_954_3_1760
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (866), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1514) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, n4, n1) = v2 & a_select3(pminus_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 +-Applying beta-rule and splitting (872), into two cases.
% 62.80/22.37 |-Branch one:
% 62.80/22.37 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (334) follows:
% 62.80/22.37 | (335) ~ (leq(n1, n5) = 0)
% 62.80/22.37 |
% 62.80/22.37 | Using (136) and (335) yields:
% 62.80/22.37 | (276) $false
% 62.80/22.37 |
% 62.80/22.37 |-The branch is then unsatisfiable
% 62.80/22.37 |-Branch two:
% 62.80/22.37 | (337) leq(n1, all_0_9_9) = 0
% 62.80/22.37 | (1520) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, n4, n1) = v2 & a_select3(q_ds1_filter, n1, n4) = v3 & leq(n0, n4) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.37 |
% 62.80/22.37 | From (143) and (337) follows:
% 62.80/22.37 | (136) leq(n1, n5) = 0
% 62.80/22.37 |
% 62.80/22.37 | Instantiating formula (30) with n0, n5, all_894_2_1711, all_954_2_1759 and discharging atoms leq(n0, n5) = all_954_2_1759, leq(n0, n5) = all_894_2_1711, yields:
% 62.80/22.37 | (5847) all_954_2_1759 = all_894_2_1711
% 62.80/22.37 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_864_2_1687, all_869_2_1691 and discharging atoms leq(n0, n5) = all_869_2_1691, leq(n0, n5) = all_864_2_1687, yields:
% 62.80/22.38 | (5848) all_869_2_1691 = all_864_2_1687
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_859_3_1684, all_944_3_1752 and discharging atoms leq(n0, n5) = all_944_3_1752, leq(n0, n5) = all_859_3_1684, yields:
% 62.80/22.38 | (5849) all_944_3_1752 = all_859_3_1684
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_854_2_1679, all_869_2_1691 and discharging atoms leq(n0, n5) = all_869_2_1691, leq(n0, n5) = all_854_2_1679, yields:
% 62.80/22.38 | (5850) all_869_2_1691 = all_854_2_1679
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_839_2_1667, all_954_2_1759 and discharging atoms leq(n0, n5) = all_954_2_1759, leq(n0, n5) = all_839_2_1667, yields:
% 62.80/22.38 | (5851) all_954_2_1759 = all_839_2_1667
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_834_3_1664, all_944_3_1752 and discharging atoms leq(n0, n5) = all_944_3_1752, leq(n0, n5) = all_834_3_1664, yields:
% 62.80/22.38 | (5852) all_944_3_1752 = all_834_3_1664
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_834_3_1664, all_894_2_1711 and discharging atoms leq(n0, n5) = all_894_2_1711, leq(n0, n5) = all_834_3_1664, yields:
% 62.80/22.38 | (5853) all_894_2_1711 = all_834_3_1664
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_829_2_1659, all_944_3_1752 and discharging atoms leq(n0, n5) = all_944_3_1752, leq(n0, n5) = all_829_2_1659, yields:
% 62.80/22.38 | (5854) all_944_3_1752 = all_829_2_1659
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_824_3_1656, 0 and discharging atoms leq(n0, n5) = all_824_3_1656, leq(n0, n5) = 0, yields:
% 62.80/22.38 | (5855) all_824_3_1656 = 0
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_824_3_1656, all_899_3_1716 and discharging atoms leq(n0, n5) = all_899_3_1716, leq(n0, n5) = all_824_3_1656, yields:
% 62.80/22.38 | (5856) all_899_3_1716 = all_824_3_1656
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_774_2_1615, all_819_3_1652 and discharging atoms leq(n0, n5) = all_819_3_1652, leq(n0, n5) = all_774_2_1615, yields:
% 62.80/22.38 | (5857) all_819_3_1652 = all_774_2_1615
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_769_3_1612, all_864_2_1687 and discharging atoms leq(n0, n5) = all_864_2_1687, leq(n0, n5) = all_769_3_1612, yields:
% 62.80/22.38 | (5858) all_864_2_1687 = all_769_3_1612
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_769_3_1612, all_774_2_1615 and discharging atoms leq(n0, n5) = all_774_2_1615, leq(n0, n5) = all_769_3_1612, yields:
% 62.80/22.38 | (5859) all_774_2_1615 = all_769_3_1612
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_764_2_1607, all_864_2_1687 and discharging atoms leq(n0, n5) = all_864_2_1687, leq(n0, n5) = all_764_2_1607, yields:
% 62.80/22.38 | (5860) all_864_2_1687 = all_764_2_1607
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_759_2_1603, all_864_2_1687 and discharging atoms leq(n0, n5) = all_864_2_1687, leq(n0, n5) = all_759_2_1603, yields:
% 62.80/22.38 | (5861) all_864_2_1687 = all_759_2_1603
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_754_3_1600, all_759_2_1603 and discharging atoms leq(n0, n5) = all_759_2_1603, leq(n0, n5) = all_754_3_1600, yields:
% 62.80/22.38 | (5862) all_759_2_1603 = all_754_3_1600
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_744_3_1592, all_754_3_1600 and discharging atoms leq(n0, n5) = all_754_3_1600, leq(n0, n5) = all_744_3_1592, yields:
% 62.80/22.38 | (5863) all_754_3_1600 = all_744_3_1592
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_739_3_1588, all_744_3_1592 and discharging atoms leq(n0, n5) = all_744_3_1592, leq(n0, n5) = all_739_3_1588, yields:
% 62.80/22.38 | (5864) all_744_3_1592 = all_739_3_1588
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_724_2_1575, all_899_3_1716 and discharging atoms leq(n0, n5) = all_899_3_1716, leq(n0, n5) = all_724_2_1575, yields:
% 62.80/22.38 | (5865) all_899_3_1716 = all_724_2_1575
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_724_2_1575, all_739_3_1588 and discharging atoms leq(n0, n5) = all_739_3_1588, leq(n0, n5) = all_724_2_1575, yields:
% 62.80/22.38 | (5866) all_739_3_1588 = all_724_2_1575
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_719_3_1572, all_944_3_1752 and discharging atoms leq(n0, n5) = all_944_3_1752, leq(n0, n5) = all_719_3_1572, yields:
% 62.80/22.38 | (5867) all_944_3_1752 = all_719_3_1572
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_704_2_1559, all_819_3_1652 and discharging atoms leq(n0, n5) = all_819_3_1652, leq(n0, n5) = all_704_2_1559, yields:
% 62.80/22.38 | (5868) all_819_3_1652 = all_704_2_1559
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_624_3_1496, all_899_3_1716 and discharging atoms leq(n0, n5) = all_899_3_1716, leq(n0, n5) = all_624_3_1496, yields:
% 62.80/22.38 | (5869) all_899_3_1716 = all_624_3_1496
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_57_2_1312, all_719_3_1572 and discharging atoms leq(n0, n5) = all_719_3_1572, leq(n0, n5) = all_57_2_1312, yields:
% 62.80/22.38 | (5870) all_719_3_1572 = all_57_2_1312
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_57_3_1313, all_899_3_1716 and discharging atoms leq(n0, n5) = all_899_3_1716, leq(n0, n5) = all_57_3_1313, yields:
% 62.80/22.38 | (5871) all_899_3_1716 = all_57_3_1313
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_57_3_1313, all_57_2_1312 and discharging atoms leq(n0, n5) = all_57_2_1312, leq(n0, n5) = all_57_3_1313, yields:
% 62.80/22.38 | (5872) all_57_2_1312 = all_57_3_1313
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_52_2_1308, all_724_2_1575 and discharging atoms leq(n0, n5) = all_724_2_1575, leq(n0, n5) = all_52_2_1308, yields:
% 62.80/22.38 | (5873) all_724_2_1575 = all_52_2_1308
% 62.80/22.38 |
% 62.80/22.38 | Instantiating formula (30) with n0, n5, all_52_3_1309, all_894_2_1711 and discharging atoms leq(n0, n5) = all_894_2_1711, leq(n0, n5) = all_52_3_1309, yields:
% 62.80/22.38 | (5874) all_894_2_1711 = all_52_3_1309
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5847,5851) yields a new equation:
% 62.80/22.38 | (5875) all_894_2_1711 = all_839_2_1667
% 62.80/22.38 |
% 62.80/22.38 | Simplifying 5875 yields:
% 62.80/22.38 | (5876) all_894_2_1711 = all_839_2_1667
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5852,5849) yields a new equation:
% 62.80/22.38 | (5877) all_859_3_1684 = all_834_3_1664
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5867,5849) yields a new equation:
% 62.80/22.38 | (5878) all_859_3_1684 = all_719_3_1572
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5854,5849) yields a new equation:
% 62.80/22.38 | (5879) all_859_3_1684 = all_829_2_1659
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5865,5869) yields a new equation:
% 62.80/22.38 | (5880) all_724_2_1575 = all_624_3_1496
% 62.80/22.38 |
% 62.80/22.38 | Simplifying 5880 yields:
% 62.80/22.38 | (5881) all_724_2_1575 = all_624_3_1496
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5871,5869) yields a new equation:
% 62.80/22.38 | (5882) all_624_3_1496 = all_57_3_1313
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5856,5869) yields a new equation:
% 62.80/22.38 | (5883) all_824_3_1656 = all_624_3_1496
% 62.80/22.38 |
% 62.80/22.38 | Simplifying 5883 yields:
% 62.80/22.38 | (5884) all_824_3_1656 = all_624_3_1496
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5853,5876) yields a new equation:
% 62.80/22.38 | (5885) all_839_2_1667 = all_834_3_1664
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5874,5876) yields a new equation:
% 62.80/22.38 | (5886) all_839_2_1667 = all_52_3_1309
% 62.80/22.38 |
% 62.80/22.38 | Combining equations (5848,5850) yields a new equation:
% 62.80/22.38 | (5887) all_864_2_1687 = all_854_2_1679
% 62.80/22.38 |
% 62.80/22.38 | Simplifying 5887 yields:
% 62.80/22.38 | (5888) all_864_2_1687 = all_854_2_1679
% 62.80/22.38 |
% 62.80/22.39 | Combining equations (5861,5888) yields a new equation:
% 62.80/22.39 | (5889) all_854_2_1679 = all_759_2_1603
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5858,5888) yields a new equation:
% 62.80/22.39 | (5890) all_854_2_1679 = all_769_3_1612
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5860,5888) yields a new equation:
% 62.80/22.39 | (5891) all_854_2_1679 = all_764_2_1607
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5878,5879) yields a new equation:
% 62.80/22.39 | (5892) all_829_2_1659 = all_719_3_1572
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5877,5879) yields a new equation:
% 62.80/22.39 | (5893) all_834_3_1664 = all_829_2_1659
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5893 yields:
% 62.80/22.39 | (5894) all_834_3_1664 = all_829_2_1659
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5890,5891) yields a new equation:
% 62.80/22.39 | (5895) all_769_3_1612 = all_764_2_1607
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5895 yields:
% 62.80/22.39 | (5896) all_769_3_1612 = all_764_2_1607
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5889,5891) yields a new equation:
% 62.80/22.39 | (5897) all_764_2_1607 = all_759_2_1603
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5885,5886) yields a new equation:
% 62.80/22.39 | (5898) all_834_3_1664 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5898 yields:
% 62.80/22.39 | (5899) all_834_3_1664 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5894,5899) yields a new equation:
% 62.80/22.39 | (5900) all_829_2_1659 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5900 yields:
% 62.80/22.39 | (5901) all_829_2_1659 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5892,5901) yields a new equation:
% 62.80/22.39 | (5902) all_719_3_1572 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5902 yields:
% 62.80/22.39 | (5903) all_719_3_1572 = all_52_3_1309
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5884,5855) yields a new equation:
% 62.80/22.39 | (5904) all_624_3_1496 = 0
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5904 yields:
% 62.80/22.39 | (5905) all_624_3_1496 = 0
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5857,5868) yields a new equation:
% 62.80/22.39 | (5906) all_774_2_1615 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5906 yields:
% 62.80/22.39 | (5907) all_774_2_1615 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5859,5907) yields a new equation:
% 62.80/22.39 | (5908) all_769_3_1612 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5908 yields:
% 62.80/22.39 | (5909) all_769_3_1612 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5896,5909) yields a new equation:
% 62.80/22.39 | (5910) all_764_2_1607 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5910 yields:
% 62.80/22.39 | (5911) all_764_2_1607 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5897,5911) yields a new equation:
% 62.80/22.39 | (5912) all_759_2_1603 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5912 yields:
% 62.80/22.39 | (5913) all_759_2_1603 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5862,5913) yields a new equation:
% 62.80/22.39 | (5914) all_754_3_1600 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5914 yields:
% 62.80/22.39 | (5915) all_754_3_1600 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5863,5915) yields a new equation:
% 62.80/22.39 | (5916) all_744_3_1592 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5916 yields:
% 62.80/22.39 | (5917) all_744_3_1592 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Combining equations (5864,5917) yields a new equation:
% 62.80/22.39 | (5918) all_739_3_1588 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.39 | Simplifying 5918 yields:
% 62.80/22.39 | (5919) all_739_3_1588 = all_704_2_1559
% 62.80/22.39 |
% 62.80/22.40 | Combining equations (5866,5919) yields a new equation:
% 62.80/22.40 | (5920) all_724_2_1575 = all_704_2_1559
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5920 yields:
% 62.80/22.40 | (5921) all_724_2_1575 = all_704_2_1559
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5881,5921) yields a new equation:
% 62.80/22.40 | (5922) all_704_2_1559 = all_624_3_1496
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5873,5921) yields a new equation:
% 62.80/22.40 | (5923) all_704_2_1559 = all_52_2_1308
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5870,5903) yields a new equation:
% 62.80/22.40 | (5924) all_57_2_1312 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5924 yields:
% 62.80/22.40 | (5925) all_57_2_1312 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5922,5923) yields a new equation:
% 62.80/22.40 | (5926) all_624_3_1496 = all_52_2_1308
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5926 yields:
% 62.80/22.40 | (5927) all_624_3_1496 = all_52_2_1308
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5905,5927) yields a new equation:
% 62.80/22.40 | (5928) all_52_2_1308 = 0
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5882,5927) yields a new equation:
% 62.80/22.40 | (5929) all_57_3_1313 = all_52_2_1308
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5929 yields:
% 62.80/22.40 | (5930) all_57_3_1313 = all_52_2_1308
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5872,5925) yields a new equation:
% 62.80/22.40 | (5931) all_57_3_1313 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5931 yields:
% 62.80/22.40 | (5932) all_57_3_1313 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5930,5932) yields a new equation:
% 62.80/22.40 | (5933) all_52_2_1308 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Simplifying 5933 yields:
% 62.80/22.40 | (5934) all_52_2_1308 = all_52_3_1309
% 62.80/22.40 |
% 62.80/22.40 | Combining equations (5928,5934) yields a new equation:
% 62.80/22.40 | (5935) all_52_3_1309 = 0
% 62.80/22.40 |
% 62.80/22.40 | From (5935) and (4607) follows:
% 62.80/22.40 | (138) leq(n0, n5) = 0
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, n5 yields:
% 62.80/22.40 | (1612) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with n5, all_0_6_6 yields:
% 62.80/22.40 | (1613) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with all_0_6_6, n5 yields:
% 62.80/22.40 | (1614) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with n5, all_0_6_6 yields:
% 62.80/22.40 | (1615) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, n4 yields:
% 62.80/22.40 | (1616) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with n4, all_0_6_6 yields:
% 62.80/22.40 | (1617) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with all_0_6_6, n4 yields:
% 62.80/22.40 | (1618) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with n4, all_0_6_6 yields:
% 62.80/22.40 | (1619) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, n3 yields:
% 62.80/22.40 | (1620) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with n3, all_0_6_6 yields:
% 62.80/22.40 | (1621) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with all_0_6_6, n3 yields:
% 62.80/22.40 | (1622) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with n3, all_0_6_6 yields:
% 62.80/22.40 | (1623) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, n2 yields:
% 62.80/22.40 | (1624) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with n2, all_0_6_6 yields:
% 62.80/22.40 | (1625) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with all_0_6_6, n2 yields:
% 62.80/22.40 | (1626) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with n2, all_0_6_6 yields:
% 62.80/22.40 | (1627) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, n1 yields:
% 62.80/22.40 | (1628) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with n1, all_0_6_6 yields:
% 62.80/22.40 | (1629) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with all_0_6_6, n1 yields:
% 62.80/22.40 | (1630) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (107) with n1, all_0_6_6 yields:
% 62.80/22.40 | (1631) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.40 |
% 62.80/22.40 | Instantiating formula (52) with all_0_6_6, tptp_minus_1 yields:
% 62.80/22.40 | (5957) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with tptp_minus_1, all_0_6_6 yields:
% 62.80/22.41 | (1632) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_6_6, tptp_minus_1 yields:
% 62.80/22.41 | (1633) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with tptp_minus_1, all_0_6_6 yields:
% 62.80/22.41 | (1634) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_6_6, n0 yields:
% 62.80/22.41 | (1635) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n0, all_0_6_6 yields:
% 62.80/22.41 | (1636) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_6_6, n0 yields:
% 62.80/22.41 | (5963) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n0, all_0_6_6 yields:
% 62.80/22.41 | (1637) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_6_6, all_0_6_6 yields:
% 62.80/22.41 | (1638) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_6_6, all_0_6_6 yields:
% 62.80/22.41 | (1639) ~ (leq(all_0_6_6, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n5 yields:
% 62.80/22.41 | (1640) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n5, all_0_7_7 yields:
% 62.80/22.41 | (1641) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n5 yields:
% 62.80/22.41 | (1642) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n5, all_0_7_7 yields:
% 62.80/22.41 | (1643) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n4 yields:
% 62.80/22.41 | (1644) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n4, all_0_7_7 yields:
% 62.80/22.41 | (1645) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n4 yields:
% 62.80/22.41 | (1646) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n4, all_0_7_7 yields:
% 62.80/22.41 | (1647) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n3 yields:
% 62.80/22.41 | (1648) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n3, all_0_7_7 yields:
% 62.80/22.41 | (1649) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n3 yields:
% 62.80/22.41 | (1650) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n3, all_0_7_7 yields:
% 62.80/22.41 | (1651) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n2 yields:
% 62.80/22.41 | (1652) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n2, all_0_7_7 yields:
% 62.80/22.41 | (1653) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n2 yields:
% 62.80/22.41 | (1654) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n2, all_0_7_7 yields:
% 62.80/22.41 | (1655) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n1 yields:
% 62.80/22.41 | (1656) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n1, all_0_7_7 yields:
% 62.80/22.41 | (1657) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n1 yields:
% 62.80/22.41 | (1658) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n1, all_0_7_7 yields:
% 62.80/22.41 | (1659) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, tptp_minus_1 yields:
% 62.80/22.41 | (1660) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with tptp_minus_1, all_0_7_7 yields:
% 62.80/22.41 | (1661) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, tptp_minus_1 yields:
% 62.80/22.41 | (1662) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with tptp_minus_1, all_0_7_7 yields:
% 62.80/22.41 | (1663) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, n0 yields:
% 62.80/22.41 | (1664) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with n0, all_0_7_7 yields:
% 62.80/22.41 | (1665) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, n0 yields:
% 62.80/22.41 | (1666) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with n0, all_0_7_7 yields:
% 62.80/22.41 | (1667) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, all_0_6_6 yields:
% 62.80/22.41 | (5995) ~ (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) = v2 & a_select3(pminus_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))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_6_6, all_0_7_7 yields:
% 62.80/22.41 | (1668) ~ (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))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, all_0_6_6 yields:
% 62.80/22.41 | (1669) ~ (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))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_6_6, all_0_7_7 yields:
% 62.80/22.41 | (5998) ~ (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))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (52) with all_0_7_7, all_0_7_7 yields:
% 62.80/22.41 | (1670) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 | Instantiating formula (107) with all_0_7_7, all_0_7_7 yields:
% 62.80/22.41 | (1671) ~ (leq(all_0_7_7, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.41 |
% 62.80/22.41 +-Applying beta-rule and splitting (1669), into two cases.
% 62.80/22.41 |-Branch one:
% 62.80/22.41 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.41 |
% 62.80/22.41 | From (143) and (1672) follows:
% 62.80/22.41 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.41 |
% 62.80/22.41 | Using (272) and (1673) yields:
% 62.80/22.41 | (276) $false
% 62.80/22.41 |
% 62.80/22.41 |-The branch is then unsatisfiable
% 62.80/22.41 |-Branch two:
% 62.80/22.41 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.41 | (1682) ~ (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))
% 62.80/22.41 |
% 62.80/22.41 | From (143) and (265) follows:
% 62.80/22.41 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.41 |
% 62.80/22.41 +-Applying beta-rule and splitting (1670), into two cases.
% 62.80/22.41 |-Branch one:
% 62.80/22.41 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.41 |
% 62.80/22.41 | From (143) and (1684) follows:
% 62.80/22.41 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.41 |
% 62.80/22.41 | Using (273) and (1685) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.42 | (1688) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | Instantiating (1688) with all_1283_0_1769, all_1283_1_1770, all_1283_2_1771, all_1283_3_1772 yields:
% 62.80/22.42 | (6012) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1283_0_1769 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1283_1_1770 & leq(n0, all_0_7_7) = all_1283_2_1771 & leq(n0, all_0_7_7) = all_1283_3_1772 & ( ~ (all_1283_2_1771 = 0) | ~ (all_1283_3_1772 = 0) | all_1283_0_1769 = all_1283_1_1770)
% 62.80/22.42 |
% 62.80/22.42 | Applying alpha-rule on (6012) yields:
% 62.80/22.42 | (6013) leq(n0, all_0_7_7) = all_1283_3_1772
% 62.80/22.42 | (6014) ~ (all_1283_2_1771 = 0) | ~ (all_1283_3_1772 = 0) | all_1283_0_1769 = all_1283_1_1770
% 62.80/22.42 | (6015) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1283_1_1770
% 62.80/22.42 | (6016) leq(n0, all_0_7_7) = all_1283_2_1771
% 62.80/22.42 | (6017) a_select3(pminus_ds1_filter, all_0_7_7, all_0_7_7) = all_1283_0_1769
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (270) follows:
% 62.80/22.42 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1671), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1684) follows:
% 62.80/22.42 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (273) and (1685) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.42 | (1700) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v3 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | Instantiating (1700) with all_1288_0_1773, all_1288_1_1774, all_1288_2_1775, all_1288_3_1776 yields:
% 62.80/22.42 | (6024) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1288_0_1773 & a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1288_1_1774 & leq(n0, all_0_7_7) = all_1288_2_1775 & leq(n0, all_0_7_7) = all_1288_3_1776 & ( ~ (all_1288_2_1775 = 0) | ~ (all_1288_3_1776 = 0) | all_1288_0_1773 = all_1288_1_1774)
% 62.80/22.42 |
% 62.80/22.42 | Applying alpha-rule on (6024) yields:
% 62.80/22.42 | (6025) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1288_1_1774
% 62.80/22.42 | (6026) a_select3(q_ds1_filter, all_0_7_7, all_0_7_7) = all_1288_0_1773
% 62.80/22.42 | (6027) ~ (all_1288_2_1775 = 0) | ~ (all_1288_3_1776 = 0) | all_1288_0_1773 = all_1288_1_1774
% 62.80/22.42 | (6028) leq(n0, all_0_7_7) = all_1288_2_1775
% 62.80/22.42 | (6029) leq(n0, all_0_7_7) = all_1288_3_1776
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (270) follows:
% 62.80/22.42 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1613), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1712) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1614), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1718) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1612), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1724) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1615), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1730) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1616), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1736) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1617), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1742) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (265) follows:
% 62.80/22.42 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.42 |
% 62.80/22.42 +-Applying beta-rule and splitting (1618), into two cases.
% 62.80/22.42 |-Branch one:
% 62.80/22.42 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.42 |
% 62.80/22.42 | From (143) and (1672) follows:
% 62.80/22.42 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.42 |
% 62.80/22.42 | Using (272) and (1673) yields:
% 62.80/22.42 | (276) $false
% 62.80/22.42 |
% 62.80/22.42 |-The branch is then unsatisfiable
% 62.80/22.42 |-Branch two:
% 62.80/22.42 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.42 | (1748) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1619), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1754) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1620), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1760) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1623), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1766) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1621), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1772) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1622), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1778) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1624), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1784) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1634), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1790) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1632), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1796) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1633), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1802) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1635), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1808) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1637), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1672) follows:
% 62.80/22.43 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (272) and (1673) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.43 | (1814) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (265) follows:
% 62.80/22.43 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1645), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1684) follows:
% 62.80/22.43 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (273) and (1685) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.43 | (1820) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (270) follows:
% 62.80/22.43 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.43 |
% 62.80/22.43 +-Applying beta-rule and splitting (1646), into two cases.
% 62.80/22.43 |-Branch one:
% 62.80/22.43 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (1684) follows:
% 62.80/22.43 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.43 |
% 62.80/22.43 | Using (273) and (1685) yields:
% 62.80/22.43 | (276) $false
% 62.80/22.43 |
% 62.80/22.43 |-The branch is then unsatisfiable
% 62.80/22.43 |-Branch two:
% 62.80/22.43 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.43 | (1826) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.43 |
% 62.80/22.43 | From (143) and (270) follows:
% 62.80/22.43 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.43 |
% 62.80/22.44 +-Applying beta-rule and splitting (1647), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1832) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1648), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1838) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1651), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1844) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1649), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1850) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1650), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1856) ~ (leq(n3, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1652), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1684) follows:
% 62.80/22.44 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (273) and (1685) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 62.80/22.44 | (1862) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (270) follows:
% 62.80/22.44 | (273) leq(all_0_7_7, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1639), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1672) follows:
% 62.80/22.44 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (272) and (1673) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.44 | (1868) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | Instantiating (1868) with all_1371_0_1777, all_1371_1_1778, all_1371_2_1779, all_1371_3_1780 yields:
% 62.80/22.44 | (6192) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1371_0_1777 & a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1371_1_1778 & leq(n0, all_0_6_6) = all_1371_2_1779 & leq(n0, all_0_6_6) = all_1371_3_1780 & ( ~ (all_1371_2_1779 = 0) | ~ (all_1371_3_1780 = 0) | all_1371_0_1777 = all_1371_1_1778)
% 62.80/22.44 |
% 62.80/22.44 | Applying alpha-rule on (6192) yields:
% 62.80/22.44 | (6193) leq(n0, all_0_6_6) = all_1371_3_1780
% 62.80/22.44 | (6194) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1371_0_1777
% 62.80/22.44 | (6195) leq(n0, all_0_6_6) = all_1371_2_1779
% 62.80/22.44 | (6196) ~ (all_1371_2_1779 = 0) | ~ (all_1371_3_1780 = 0) | all_1371_0_1777 = all_1371_1_1778
% 62.80/22.44 | (6197) a_select3(q_ds1_filter, all_0_6_6, all_0_6_6) = all_1371_1_1778
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (265) follows:
% 62.80/22.44 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.44 |
% 62.80/22.44 +-Applying beta-rule and splitting (1638), into two cases.
% 62.80/22.44 |-Branch one:
% 62.80/22.44 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.44 |
% 62.80/22.44 | From (143) and (1672) follows:
% 62.80/22.44 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.44 |
% 62.80/22.44 | Using (272) and (1673) yields:
% 62.80/22.44 | (276) $false
% 62.80/22.44 |
% 62.80/22.44 |-The branch is then unsatisfiable
% 62.80/22.44 |-Branch two:
% 62.80/22.44 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.44 | (1880) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v3 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.44 |
% 62.80/22.44 | Instantiating (1880) with all_1376_0_1781, all_1376_1_1782, all_1376_2_1783, all_1376_3_1784 yields:
% 62.80/22.44 | (6204) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1376_0_1781 & a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1376_1_1782 & leq(n0, all_0_6_6) = all_1376_2_1783 & leq(n0, all_0_6_6) = all_1376_3_1784 & ( ~ (all_1376_2_1783 = 0) | ~ (all_1376_3_1784 = 0) | all_1376_0_1781 = all_1376_1_1782)
% 62.80/22.44 |
% 62.80/22.44 | Applying alpha-rule on (6204) yields:
% 62.80/22.44 | (6205) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1376_1_1782
% 62.80/22.44 | (6206) ~ (all_1376_2_1783 = 0) | ~ (all_1376_3_1784 = 0) | all_1376_0_1781 = all_1376_1_1782
% 62.80/22.44 | (6207) leq(n0, all_0_6_6) = all_1376_2_1783
% 62.80/22.44 | (6208) a_select3(pminus_ds1_filter, all_0_6_6, all_0_6_6) = all_1376_0_1781
% 62.80/22.45 | (6209) leq(n0, all_0_6_6) = all_1376_3_1784
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1636), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1892) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1625), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1910) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1626), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1916) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1627), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1922) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1628), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1928) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1631), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1934) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1629), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1898) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1630), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (1904) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (5957), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (6263) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (5963), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1672) follows:
% 62.80/22.45 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 62.80/22.45 |
% 62.80/22.45 | Using (272) and (1673) yields:
% 62.80/22.45 | (276) $false
% 62.80/22.45 |
% 62.80/22.45 |-The branch is then unsatisfiable
% 62.80/22.45 |-Branch two:
% 62.80/22.45 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 62.80/22.45 | (6269) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (265) follows:
% 62.80/22.45 | (272) leq(all_0_6_6, n5) = 0
% 62.80/22.45 |
% 62.80/22.45 +-Applying beta-rule and splitting (1640), into two cases.
% 62.80/22.45 |-Branch one:
% 62.80/22.45 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 62.80/22.45 |
% 62.80/22.45 | From (143) and (1684) follows:
% 62.80/22.45 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 62.80/22.45 |
% 63.16/22.45 | Using (273) and (1685) yields:
% 63.16/22.45 | (276) $false
% 63.16/22.45 |
% 63.16/22.45 |-The branch is then unsatisfiable
% 63.16/22.45 |-Branch two:
% 63.16/22.45 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.45 | (1939) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.45 |
% 63.16/22.45 | From (143) and (270) follows:
% 63.16/22.45 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.45 |
% 63.16/22.45 +-Applying beta-rule and splitting (1643), into two cases.
% 63.16/22.45 |-Branch one:
% 63.16/22.45 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.45 |
% 63.16/22.45 | From (143) and (1684) follows:
% 63.16/22.45 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.45 |
% 63.16/22.45 | Using (273) and (1685) yields:
% 63.16/22.45 | (276) $false
% 63.16/22.45 |
% 63.16/22.45 |-The branch is then unsatisfiable
% 63.16/22.45 |-Branch two:
% 63.16/22.45 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.45 | (1945) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.45 |
% 63.16/22.45 | From (143) and (270) follows:
% 63.16/22.45 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.45 |
% 63.16/22.45 +-Applying beta-rule and splitting (1641), into two cases.
% 63.16/22.45 |-Branch one:
% 63.16/22.45 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.45 |
% 63.16/22.45 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1951) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1642), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1957) ~ (leq(n5, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1644), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1963) ~ (leq(n4, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1661), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1969) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1662), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1975) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1663), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1981) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1664), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1987) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1667), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1993) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1653), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (1999) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v2 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1654), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (2005) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1655), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (2011) ~ (leq(n2, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1656), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (2017) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1659), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.46 |
% 63.16/22.46 | Using (273) and (1685) yields:
% 63.16/22.46 | (276) $false
% 63.16/22.46 |
% 63.16/22.46 |-The branch is then unsatisfiable
% 63.16/22.46 |-Branch two:
% 63.16/22.46 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.46 | (2023) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (270) follows:
% 63.16/22.46 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.46 |
% 63.16/22.46 +-Applying beta-rule and splitting (1657), into two cases.
% 63.16/22.46 |-Branch one:
% 63.16/22.46 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.46 |
% 63.16/22.46 | From (143) and (1684) follows:
% 63.16/22.46 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (273) and (1685) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.47 | (2029) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (270) follows:
% 63.16/22.47 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1658), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1684) follows:
% 63.16/22.47 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (273) and (1685) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.47 | (2035) ~ (leq(n1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (270) follows:
% 63.16/22.47 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1660), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1684) follows:
% 63.16/22.47 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (273) and (1685) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.47 | (2041) ~ (leq(tptp_minus_1, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (270) follows:
% 63.16/22.47 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1665), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1684) follows:
% 63.16/22.47 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (273) and (1685) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.47 | (2047) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (270) follows:
% 63.16/22.47 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1666), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1684) follows:
% 63.16/22.47 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (273) and (1685) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.16/22.47 | (2053) ~ (leq(n0, all_0_9_9) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (270) follows:
% 63.16/22.47 | (273) leq(all_0_7_7, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (5995), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1672) follows:
% 63.16/22.47 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (272) and (1673) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 63.16/22.47 | (6395) ~ (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) = v2 & a_select3(pminus_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))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (265) follows:
% 63.16/22.47 | (272) leq(all_0_6_6, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1668), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (1672) follows:
% 63.16/22.47 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (272) and (1673) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 63.16/22.47 | (1676) ~ (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))
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (265) follows:
% 63.16/22.47 | (272) leq(all_0_6_6, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1712), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (274) follows:
% 63.16/22.47 | (275) ~ (leq(n5, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (132) and (275) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (277) leq(n5, all_0_9_9) = 0
% 63.16/22.47 | (2071) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | Instantiating (2071) with all_1578_0_1805, all_1578_1_1806, all_1578_2_1807, all_1578_3_1808 yields:
% 63.16/22.47 | (6408) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1578_1_1806 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1578_0_1805 & leq(n0, all_0_6_6) = all_1578_3_1808 & leq(n0, n5) = all_1578_2_1807 & ( ~ (all_1578_2_1807 = 0) | ~ (all_1578_3_1808 = 0) | all_1578_0_1805 = all_1578_1_1806)
% 63.16/22.47 |
% 63.16/22.47 | Applying alpha-rule on (6408) yields:
% 63.16/22.47 | (6409) leq(n0, all_0_6_6) = all_1578_3_1808
% 63.16/22.47 | (6410) a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1578_0_1805
% 63.16/22.47 | (6411) ~ (all_1578_2_1807 = 0) | ~ (all_1578_3_1808 = 0) | all_1578_0_1805 = all_1578_1_1806
% 63.16/22.47 | (6412) leq(n0, n5) = all_1578_2_1807
% 63.16/22.47 | (6413) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1578_1_1806
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (277) follows:
% 63.16/22.47 | (132) leq(n5, n5) = 0
% 63.16/22.47 |
% 63.16/22.47 +-Applying beta-rule and splitting (1718), into two cases.
% 63.16/22.47 |-Branch one:
% 63.16/22.47 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.16/22.47 |
% 63.16/22.47 | From (143) and (274) follows:
% 63.16/22.47 | (275) ~ (leq(n5, n5) = 0)
% 63.16/22.47 |
% 63.16/22.47 | Using (132) and (275) yields:
% 63.16/22.47 | (276) $false
% 63.16/22.47 |
% 63.16/22.47 |-The branch is then unsatisfiable
% 63.16/22.47 |-Branch two:
% 63.16/22.47 | (277) leq(n5, all_0_9_9) = 0
% 63.16/22.47 | (2083) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.47 |
% 63.16/22.47 | Instantiating (2083) with all_1583_0_1809, all_1583_1_1810, all_1583_2_1811, all_1583_3_1812 yields:
% 63.16/22.47 | (6420) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1583_0_1809 & a_select3(q_ds1_filter, n5, all_0_6_6) = all_1583_1_1810 & leq(n0, all_0_6_6) = all_1583_2_1811 & leq(n0, n5) = all_1583_3_1812 & ( ~ (all_1583_2_1811 = 0) | ~ (all_1583_3_1812 = 0) | all_1583_0_1809 = all_1583_1_1810)
% 63.16/22.47 |
% 63.16/22.47 | Applying alpha-rule on (6420) yields:
% 63.16/22.48 | (6421) a_select3(q_ds1_filter, n5, all_0_6_6) = all_1583_1_1810
% 63.16/22.48 | (6422) leq(n0, all_0_6_6) = all_1583_2_1811
% 63.16/22.48 | (6423) ~ (all_1583_2_1811 = 0) | ~ (all_1583_3_1812 = 0) | all_1583_0_1809 = all_1583_1_1810
% 63.16/22.48 | (6424) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1583_0_1809
% 63.16/22.48 | (6425) leq(n0, n5) = all_1583_3_1812
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (277) follows:
% 63.16/22.48 | (132) leq(n5, n5) = 0
% 63.16/22.48 |
% 63.16/22.48 +-Applying beta-rule and splitting (1724), into two cases.
% 63.16/22.48 |-Branch one:
% 63.16/22.48 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (274) follows:
% 63.16/22.48 | (275) ~ (leq(n5, n5) = 0)
% 63.16/22.48 |
% 63.16/22.48 | Using (132) and (275) yields:
% 63.16/22.48 | (276) $false
% 63.16/22.48 |
% 63.16/22.48 |-The branch is then unsatisfiable
% 63.16/22.48 |-Branch two:
% 63.16/22.48 | (277) leq(n5, all_0_9_9) = 0
% 63.16/22.48 | (2095) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.48 |
% 63.16/22.48 | Instantiating (2095) with all_1588_0_1813, all_1588_1_1814, all_1588_2_1815, all_1588_3_1816 yields:
% 63.16/22.48 | (6432) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1588_0_1813 & a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1588_1_1814 & leq(n0, all_0_6_6) = all_1588_2_1815 & leq(n0, n5) = all_1588_3_1816 & ( ~ (all_1588_2_1815 = 0) | ~ (all_1588_3_1816 = 0) | all_1588_0_1813 = all_1588_1_1814)
% 63.16/22.48 |
% 63.16/22.48 | Applying alpha-rule on (6432) yields:
% 63.16/22.48 | (6433) a_select3(pminus_ds1_filter, n5, all_0_6_6) = all_1588_1_1814
% 63.16/22.48 | (6434) leq(n0, n5) = all_1588_3_1816
% 63.16/22.48 | (6435) leq(n0, all_0_6_6) = all_1588_2_1815
% 63.16/22.48 | (6436) a_select3(pminus_ds1_filter, all_0_6_6, n5) = all_1588_0_1813
% 63.16/22.48 | (6437) ~ (all_1588_2_1815 = 0) | ~ (all_1588_3_1816 = 0) | all_1588_0_1813 = all_1588_1_1814
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (277) follows:
% 63.16/22.48 | (132) leq(n5, n5) = 0
% 63.16/22.48 |
% 63.16/22.48 +-Applying beta-rule and splitting (1730), into two cases.
% 63.16/22.48 |-Branch one:
% 63.16/22.48 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (274) follows:
% 63.16/22.48 | (275) ~ (leq(n5, n5) = 0)
% 63.16/22.48 |
% 63.16/22.48 | Using (132) and (275) yields:
% 63.16/22.48 | (276) $false
% 63.16/22.48 |
% 63.16/22.48 |-The branch is then unsatisfiable
% 63.16/22.48 |-Branch two:
% 63.16/22.48 | (277) leq(n5, all_0_9_9) = 0
% 63.16/22.48 | (2107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.48 |
% 63.16/22.48 | Instantiating (2107) with all_1593_0_1817, all_1593_1_1818, all_1593_2_1819, all_1593_3_1820 yields:
% 63.16/22.48 | (6444) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1593_1_1818 & a_select3(q_ds1_filter, n5, all_0_6_6) = all_1593_0_1817 & leq(n0, all_0_6_6) = all_1593_3_1820 & leq(n0, n5) = all_1593_2_1819 & ( ~ (all_1593_2_1819 = 0) | ~ (all_1593_3_1820 = 0) | all_1593_0_1817 = all_1593_1_1818)
% 63.16/22.48 |
% 63.16/22.48 | Applying alpha-rule on (6444) yields:
% 63.16/22.48 | (6445) a_select3(q_ds1_filter, n5, all_0_6_6) = all_1593_0_1817
% 63.16/22.48 | (6446) a_select3(q_ds1_filter, all_0_6_6, n5) = all_1593_1_1818
% 63.16/22.48 | (6447) ~ (all_1593_2_1819 = 0) | ~ (all_1593_3_1820 = 0) | all_1593_0_1817 = all_1593_1_1818
% 63.16/22.48 | (6448) leq(n0, n5) = all_1593_2_1819
% 63.16/22.48 | (6449) leq(n0, all_0_6_6) = all_1593_3_1820
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (277) follows:
% 63.16/22.48 | (132) leq(n5, n5) = 0
% 63.16/22.48 |
% 63.16/22.48 +-Applying beta-rule and splitting (1736), into two cases.
% 63.16/22.48 |-Branch one:
% 63.16/22.48 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (298) follows:
% 63.16/22.48 | (299) ~ (leq(n4, n5) = 0)
% 63.16/22.48 |
% 63.16/22.48 | Using (133) and (299) yields:
% 63.16/22.48 | (276) $false
% 63.16/22.48 |
% 63.16/22.48 |-The branch is then unsatisfiable
% 63.16/22.48 |-Branch two:
% 63.16/22.48 | (301) leq(n4, all_0_9_9) = 0
% 63.16/22.48 | (2119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.48 |
% 63.16/22.48 | Instantiating (2119) with all_1598_0_1821, all_1598_1_1822, all_1598_2_1823, all_1598_3_1824 yields:
% 63.16/22.48 | (6456) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1598_0_1821 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1598_1_1822 & leq(n0, all_0_6_6) = all_1598_2_1823 & leq(n0, n4) = all_1598_3_1824 & ( ~ (all_1598_2_1823 = 0) | ~ (all_1598_3_1824 = 0) | all_1598_0_1821 = all_1598_1_1822)
% 63.16/22.48 |
% 63.16/22.48 | Applying alpha-rule on (6456) yields:
% 63.16/22.48 | (6457) ~ (all_1598_2_1823 = 0) | ~ (all_1598_3_1824 = 0) | all_1598_0_1821 = all_1598_1_1822
% 63.16/22.48 | (6458) a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1598_1_1822
% 63.16/22.48 | (6459) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1598_0_1821
% 63.16/22.48 | (6460) leq(n0, n4) = all_1598_3_1824
% 63.16/22.48 | (6461) leq(n0, all_0_6_6) = all_1598_2_1823
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (301) follows:
% 63.16/22.48 | (133) leq(n4, n5) = 0
% 63.16/22.48 |
% 63.16/22.48 +-Applying beta-rule and splitting (1742), into two cases.
% 63.16/22.48 |-Branch one:
% 63.16/22.48 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.16/22.48 |
% 63.16/22.48 | From (143) and (298) follows:
% 63.16/22.48 | (299) ~ (leq(n4, n5) = 0)
% 63.16/22.48 |
% 63.16/22.48 | Using (133) and (299) yields:
% 63.16/22.48 | (276) $false
% 63.16/22.48 |
% 63.16/22.48 |-The branch is then unsatisfiable
% 63.16/22.48 |-Branch two:
% 63.16/22.48 | (301) leq(n4, all_0_9_9) = 0
% 63.16/22.48 | (2131) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.16/22.48 |
% 63.16/22.48 | Instantiating (2131) with all_1603_0_1825, all_1603_1_1826, all_1603_2_1827, all_1603_3_1828 yields:
% 63.16/22.48 | (6468) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1603_1_1826 & a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1603_0_1825 & leq(n0, all_0_6_6) = all_1603_3_1828 & leq(n0, n4) = all_1603_2_1827 & ( ~ (all_1603_2_1827 = 0) | ~ (all_1603_3_1828 = 0) | all_1603_0_1825 = all_1603_1_1826)
% 63.16/22.49 |
% 63.16/22.49 | Applying alpha-rule on (6468) yields:
% 63.16/22.49 | (6469) ~ (all_1603_2_1827 = 0) | ~ (all_1603_3_1828 = 0) | all_1603_0_1825 = all_1603_1_1826
% 63.16/22.49 | (6470) a_select3(pminus_ds1_filter, n4, all_0_6_6) = all_1603_0_1825
% 63.16/22.49 | (6471) a_select3(pminus_ds1_filter, all_0_6_6, n4) = all_1603_1_1826
% 63.26/22.49 | (6472) leq(n0, n4) = all_1603_2_1827
% 63.26/22.49 | (6473) leq(n0, all_0_6_6) = all_1603_3_1828
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (301) follows:
% 63.26/22.49 | (133) leq(n4, n5) = 0
% 63.26/22.49 |
% 63.26/22.49 +-Applying beta-rule and splitting (1748), into two cases.
% 63.26/22.49 |-Branch one:
% 63.26/22.49 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (298) follows:
% 63.26/22.49 | (299) ~ (leq(n4, n5) = 0)
% 63.26/22.49 |
% 63.26/22.49 | Using (133) and (299) yields:
% 63.26/22.49 | (276) $false
% 63.26/22.49 |
% 63.26/22.49 |-The branch is then unsatisfiable
% 63.26/22.49 |-Branch two:
% 63.26/22.49 | (301) leq(n4, all_0_9_9) = 0
% 63.26/22.49 | (2143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.49 |
% 63.26/22.49 | Instantiating (2143) with all_1608_0_1829, all_1608_1_1830, all_1608_2_1831, all_1608_3_1832 yields:
% 63.26/22.49 | (6480) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1608_0_1829 & a_select3(q_ds1_filter, n4, all_0_6_6) = all_1608_1_1830 & leq(n0, all_0_6_6) = all_1608_2_1831 & leq(n0, n4) = all_1608_3_1832 & ( ~ (all_1608_2_1831 = 0) | ~ (all_1608_3_1832 = 0) | all_1608_0_1829 = all_1608_1_1830)
% 63.26/22.49 |
% 63.26/22.49 | Applying alpha-rule on (6480) yields:
% 63.26/22.49 | (6481) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1608_0_1829
% 63.26/22.49 | (6482) leq(n0, all_0_6_6) = all_1608_2_1831
% 63.26/22.49 | (6483) leq(n0, n4) = all_1608_3_1832
% 63.26/22.49 | (6484) ~ (all_1608_2_1831 = 0) | ~ (all_1608_3_1832 = 0) | all_1608_0_1829 = all_1608_1_1830
% 63.26/22.49 | (6485) a_select3(q_ds1_filter, n4, all_0_6_6) = all_1608_1_1830
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (301) follows:
% 63.26/22.49 | (133) leq(n4, n5) = 0
% 63.26/22.49 |
% 63.26/22.49 +-Applying beta-rule and splitting (1754), into two cases.
% 63.26/22.49 |-Branch one:
% 63.26/22.49 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (298) follows:
% 63.26/22.49 | (299) ~ (leq(n4, n5) = 0)
% 63.26/22.49 |
% 63.26/22.49 | Using (133) and (299) yields:
% 63.26/22.49 | (276) $false
% 63.26/22.49 |
% 63.26/22.49 |-The branch is then unsatisfiable
% 63.26/22.49 |-Branch two:
% 63.26/22.49 | (301) leq(n4, all_0_9_9) = 0
% 63.26/22.49 | (2155) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.49 |
% 63.26/22.49 | Instantiating (2155) with all_1613_0_1833, all_1613_1_1834, all_1613_2_1835, all_1613_3_1836 yields:
% 63.26/22.49 | (6492) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1613_1_1834 & a_select3(q_ds1_filter, n4, all_0_6_6) = all_1613_0_1833 & leq(n0, all_0_6_6) = all_1613_3_1836 & leq(n0, n4) = all_1613_2_1835 & ( ~ (all_1613_2_1835 = 0) | ~ (all_1613_3_1836 = 0) | all_1613_0_1833 = all_1613_1_1834)
% 63.26/22.49 |
% 63.26/22.49 | Applying alpha-rule on (6492) yields:
% 63.26/22.49 | (6493) leq(n0, n4) = all_1613_2_1835
% 63.26/22.49 | (6494) a_select3(q_ds1_filter, all_0_6_6, n4) = all_1613_1_1834
% 63.26/22.49 | (6495) ~ (all_1613_2_1835 = 0) | ~ (all_1613_3_1836 = 0) | all_1613_0_1833 = all_1613_1_1834
% 63.26/22.49 | (6496) leq(n0, all_0_6_6) = all_1613_3_1836
% 63.26/22.49 | (6497) a_select3(q_ds1_filter, n4, all_0_6_6) = all_1613_0_1833
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (301) follows:
% 63.26/22.49 | (133) leq(n4, n5) = 0
% 63.26/22.49 |
% 63.26/22.49 +-Applying beta-rule and splitting (1760), into two cases.
% 63.26/22.49 |-Branch one:
% 63.26/22.49 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (316) follows:
% 63.26/22.49 | (317) ~ (leq(n3, n5) = 0)
% 63.26/22.49 |
% 63.26/22.49 | Using (134) and (317) yields:
% 63.26/22.49 | (276) $false
% 63.26/22.49 |
% 63.26/22.49 |-The branch is then unsatisfiable
% 63.26/22.49 |-Branch two:
% 63.26/22.49 | (319) leq(n3, all_0_9_9) = 0
% 63.26/22.49 | (2167) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.49 |
% 63.26/22.49 | Instantiating (2167) with all_1618_0_1837, all_1618_1_1838, all_1618_2_1839, all_1618_3_1840 yields:
% 63.26/22.49 | (6504) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1618_0_1837 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1618_1_1838 & leq(n0, all_0_6_6) = all_1618_2_1839 & leq(n0, n3) = all_1618_3_1840 & ( ~ (all_1618_2_1839 = 0) | ~ (all_1618_3_1840 = 0) | all_1618_0_1837 = all_1618_1_1838)
% 63.26/22.49 |
% 63.26/22.49 | Applying alpha-rule on (6504) yields:
% 63.26/22.49 | (6505) a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1618_1_1838
% 63.26/22.49 | (6506) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1618_0_1837
% 63.26/22.49 | (6507) ~ (all_1618_2_1839 = 0) | ~ (all_1618_3_1840 = 0) | all_1618_0_1837 = all_1618_1_1838
% 63.26/22.49 | (6508) leq(n0, all_0_6_6) = all_1618_2_1839
% 63.26/22.49 | (6509) leq(n0, n3) = all_1618_3_1840
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (319) follows:
% 63.26/22.49 | (134) leq(n3, n5) = 0
% 63.26/22.49 |
% 63.26/22.49 +-Applying beta-rule and splitting (1766), into two cases.
% 63.26/22.49 |-Branch one:
% 63.26/22.49 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.49 |
% 63.26/22.49 | From (143) and (316) follows:
% 63.26/22.49 | (317) ~ (leq(n3, n5) = 0)
% 63.26/22.49 |
% 63.26/22.49 | Using (134) and (317) yields:
% 63.26/22.50 | (276) $false
% 63.26/22.50 |
% 63.26/22.50 |-The branch is then unsatisfiable
% 63.26/22.50 |-Branch two:
% 63.26/22.50 | (319) leq(n3, all_0_9_9) = 0
% 63.26/22.50 | (2179) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.50 |
% 63.26/22.50 | Instantiating (2179) with all_1623_0_1841, all_1623_1_1842, all_1623_2_1843, all_1623_3_1844 yields:
% 63.26/22.50 | (6516) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1623_1_1842 & a_select3(q_ds1_filter, n3, all_0_6_6) = all_1623_0_1841 & leq(n0, all_0_6_6) = all_1623_3_1844 & leq(n0, n3) = all_1623_2_1843 & ( ~ (all_1623_2_1843 = 0) | ~ (all_1623_3_1844 = 0) | all_1623_0_1841 = all_1623_1_1842)
% 63.26/22.50 |
% 63.26/22.50 | Applying alpha-rule on (6516) yields:
% 63.26/22.50 | (6517) leq(n0, n3) = all_1623_2_1843
% 63.26/22.50 | (6518) ~ (all_1623_2_1843 = 0) | ~ (all_1623_3_1844 = 0) | all_1623_0_1841 = all_1623_1_1842
% 63.26/22.50 | (6519) leq(n0, all_0_6_6) = all_1623_3_1844
% 63.26/22.50 | (6520) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1623_1_1842
% 63.26/22.50 | (6521) a_select3(q_ds1_filter, n3, all_0_6_6) = all_1623_0_1841
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (319) follows:
% 63.26/22.50 | (134) leq(n3, n5) = 0
% 63.26/22.50 |
% 63.26/22.50 +-Applying beta-rule and splitting (1772), into two cases.
% 63.26/22.50 |-Branch one:
% 63.26/22.50 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (316) follows:
% 63.26/22.50 | (317) ~ (leq(n3, n5) = 0)
% 63.26/22.50 |
% 63.26/22.50 | Using (134) and (317) yields:
% 63.26/22.50 | (276) $false
% 63.26/22.50 |
% 63.26/22.50 |-The branch is then unsatisfiable
% 63.26/22.50 |-Branch two:
% 63.26/22.50 | (319) leq(n3, all_0_9_9) = 0
% 63.26/22.50 | (2191) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.50 |
% 63.26/22.50 | Instantiating (2191) with all_1628_0_1845, all_1628_1_1846, all_1628_2_1847, all_1628_3_1848 yields:
% 63.26/22.50 | (6528) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1628_1_1846 & a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1628_0_1845 & leq(n0, all_0_6_6) = all_1628_3_1848 & leq(n0, n3) = all_1628_2_1847 & ( ~ (all_1628_2_1847 = 0) | ~ (all_1628_3_1848 = 0) | all_1628_0_1845 = all_1628_1_1846)
% 63.26/22.50 |
% 63.26/22.50 | Applying alpha-rule on (6528) yields:
% 63.26/22.50 | (6529) leq(n0, all_0_6_6) = all_1628_3_1848
% 63.26/22.50 | (6530) leq(n0, n3) = all_1628_2_1847
% 63.26/22.50 | (6531) a_select3(pminus_ds1_filter, n3, all_0_6_6) = all_1628_0_1845
% 63.26/22.50 | (6532) ~ (all_1628_2_1847 = 0) | ~ (all_1628_3_1848 = 0) | all_1628_0_1845 = all_1628_1_1846
% 63.26/22.50 | (6533) a_select3(pminus_ds1_filter, all_0_6_6, n3) = all_1628_1_1846
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (319) follows:
% 63.26/22.50 | (134) leq(n3, n5) = 0
% 63.26/22.50 |
% 63.26/22.50 +-Applying beta-rule and splitting (1778), into two cases.
% 63.26/22.50 |-Branch one:
% 63.26/22.50 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (316) follows:
% 63.26/22.50 | (317) ~ (leq(n3, n5) = 0)
% 63.26/22.50 |
% 63.26/22.50 | Using (134) and (317) yields:
% 63.26/22.50 | (276) $false
% 63.26/22.50 |
% 63.26/22.50 |-The branch is then unsatisfiable
% 63.26/22.50 |-Branch two:
% 63.26/22.50 | (319) leq(n3, all_0_9_9) = 0
% 63.26/22.50 | (2203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.50 |
% 63.26/22.50 | Instantiating (2203) with all_1633_0_1849, all_1633_1_1850, all_1633_2_1851, all_1633_3_1852 yields:
% 63.26/22.50 | (6540) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1633_0_1849 & a_select3(q_ds1_filter, n3, all_0_6_6) = all_1633_1_1850 & leq(n0, all_0_6_6) = all_1633_2_1851 & leq(n0, n3) = all_1633_3_1852 & ( ~ (all_1633_2_1851 = 0) | ~ (all_1633_3_1852 = 0) | all_1633_0_1849 = all_1633_1_1850)
% 63.26/22.50 |
% 63.26/22.50 | Applying alpha-rule on (6540) yields:
% 63.26/22.50 | (6541) leq(n0, n3) = all_1633_3_1852
% 63.26/22.50 | (6542) ~ (all_1633_2_1851 = 0) | ~ (all_1633_3_1852 = 0) | all_1633_0_1849 = all_1633_1_1850
% 63.26/22.50 | (6543) a_select3(q_ds1_filter, all_0_6_6, n3) = all_1633_0_1849
% 63.26/22.50 | (6544) a_select3(q_ds1_filter, n3, all_0_6_6) = all_1633_1_1850
% 63.26/22.50 | (6545) leq(n0, all_0_6_6) = all_1633_2_1851
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (319) follows:
% 63.26/22.50 | (134) leq(n3, n5) = 0
% 63.26/22.50 |
% 63.26/22.50 +-Applying beta-rule and splitting (1784), into two cases.
% 63.26/22.50 |-Branch one:
% 63.26/22.50 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.26/22.50 |
% 63.26/22.50 | From (143) and (310) follows:
% 63.26/22.50 | (311) ~ (leq(n2, n5) = 0)
% 63.26/22.50 |
% 63.26/22.50 | Using (135) and (311) yields:
% 63.26/22.50 | (276) $false
% 63.26/22.50 |
% 63.26/22.50 |-The branch is then unsatisfiable
% 63.26/22.50 |-Branch two:
% 63.26/22.50 | (313) leq(n2, all_0_9_9) = 0
% 63.26/22.50 | (2215) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.50 |
% 63.26/22.50 | Instantiating (2215) with all_1638_0_1853, all_1638_1_1854, all_1638_2_1855, all_1638_3_1856 yields:
% 63.26/22.50 | (6552) a_select3(pminus_ds1_filter, all_0_6_6, n2) = all_1638_0_1853 & a_select3(pminus_ds1_filter, n2, all_0_6_6) = all_1638_1_1854 & leq(n0, all_0_6_6) = all_1638_2_1855 & leq(n0, n2) = all_1638_3_1856 & ( ~ (all_1638_2_1855 = 0) | ~ (all_1638_3_1856 = 0) | all_1638_0_1853 = all_1638_1_1854)
% 63.26/22.50 |
% 63.26/22.50 | Applying alpha-rule on (6552) yields:
% 63.26/22.50 | (6553) leq(n0, n2) = all_1638_3_1856
% 63.26/22.50 | (6554) leq(n0, all_0_6_6) = all_1638_2_1855
% 63.26/22.50 | (6555) a_select3(pminus_ds1_filter, n2, all_0_6_6) = all_1638_1_1854
% 63.26/22.50 | (6556) ~ (all_1638_2_1855 = 0) | ~ (all_1638_3_1856 = 0) | all_1638_0_1853 = all_1638_1_1854
% 63.26/22.51 | (6557) a_select3(pminus_ds1_filter, all_0_6_6, n2) = all_1638_0_1853
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (313) follows:
% 63.26/22.51 | (135) leq(n2, n5) = 0
% 63.26/22.51 |
% 63.26/22.51 +-Applying beta-rule and splitting (1790), into two cases.
% 63.26/22.51 |-Branch one:
% 63.26/22.51 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (346) follows:
% 63.26/22.51 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.26/22.51 |
% 63.26/22.51 | Using (137) and (347) yields:
% 63.26/22.51 | (276) $false
% 63.26/22.51 |
% 63.26/22.51 |-The branch is then unsatisfiable
% 63.26/22.51 |-Branch two:
% 63.26/22.51 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.26/22.51 | (2227) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.51 |
% 63.26/22.51 | Instantiating (2227) with all_1643_0_1857, all_1643_1_1858, all_1643_2_1859, all_1643_3_1860 yields:
% 63.26/22.51 | (6564) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1643_1_1858 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1643_0_1857 & leq(n0, all_0_6_6) = all_1643_3_1860 & leq(n0, tptp_minus_1) = all_1643_2_1859 & ( ~ (all_1643_2_1859 = 0) | ~ (all_1643_3_1860 = 0) | all_1643_0_1857 = all_1643_1_1858)
% 63.26/22.51 |
% 63.26/22.51 | Applying alpha-rule on (6564) yields:
% 63.26/22.51 | (6565) leq(n0, all_0_6_6) = all_1643_3_1860
% 63.26/22.51 | (6566) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1643_1_1858
% 63.26/22.51 | (6567) leq(n0, tptp_minus_1) = all_1643_2_1859
% 63.26/22.51 | (6568) a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1643_0_1857
% 63.26/22.51 | (6569) ~ (all_1643_2_1859 = 0) | ~ (all_1643_3_1860 = 0) | all_1643_0_1857 = all_1643_1_1858
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (349) follows:
% 63.26/22.51 | (137) leq(tptp_minus_1, n5) = 0
% 63.26/22.51 |
% 63.26/22.51 +-Applying beta-rule and splitting (1796), into two cases.
% 63.26/22.51 |-Branch one:
% 63.26/22.51 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (346) follows:
% 63.26/22.51 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.26/22.51 |
% 63.26/22.51 | Using (137) and (347) yields:
% 63.26/22.51 | (276) $false
% 63.26/22.51 |
% 63.26/22.51 |-The branch is then unsatisfiable
% 63.26/22.51 |-Branch two:
% 63.26/22.51 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.26/22.51 | (2239) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.51 |
% 63.26/22.51 | Instantiating (2239) with all_1648_0_1861, all_1648_1_1862, all_1648_2_1863, all_1648_3_1864 yields:
% 63.26/22.51 | (6576) a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = all_1648_1_1862 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = all_1648_0_1861 & leq(n0, all_0_6_6) = all_1648_3_1864 & leq(n0, tptp_minus_1) = all_1648_2_1863 & ( ~ (all_1648_2_1863 = 0) | ~ (all_1648_3_1864 = 0) | all_1648_0_1861 = all_1648_1_1862)
% 63.26/22.51 |
% 63.26/22.51 | Applying alpha-rule on (6576) yields:
% 63.26/22.51 | (6577) ~ (all_1648_2_1863 = 0) | ~ (all_1648_3_1864 = 0) | all_1648_0_1861 = all_1648_1_1862
% 63.26/22.51 | (6578) leq(n0, tptp_minus_1) = all_1648_2_1863
% 63.26/22.51 | (6579) leq(n0, all_0_6_6) = all_1648_3_1864
% 63.26/22.51 | (6580) a_select3(pminus_ds1_filter, all_0_6_6, tptp_minus_1) = all_1648_1_1862
% 63.26/22.51 | (6581) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_6_6) = all_1648_0_1861
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (349) follows:
% 63.26/22.51 | (137) leq(tptp_minus_1, n5) = 0
% 63.26/22.51 |
% 63.26/22.51 +-Applying beta-rule and splitting (1802), into two cases.
% 63.26/22.51 |-Branch one:
% 63.26/22.51 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (346) follows:
% 63.26/22.51 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.26/22.51 |
% 63.26/22.51 | Using (137) and (347) yields:
% 63.26/22.51 | (276) $false
% 63.26/22.51 |
% 63.26/22.51 |-The branch is then unsatisfiable
% 63.26/22.51 |-Branch two:
% 63.26/22.51 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.26/22.51 | (2251) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.51 |
% 63.26/22.51 | Instantiating (2251) with all_1653_0_1865, all_1653_1_1866, all_1653_2_1867, all_1653_3_1868 yields:
% 63.26/22.51 | (6588) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1653_0_1865 & a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1653_1_1866 & leq(n0, all_0_6_6) = all_1653_2_1867 & leq(n0, tptp_minus_1) = all_1653_3_1868 & ( ~ (all_1653_2_1867 = 0) | ~ (all_1653_3_1868 = 0) | all_1653_0_1865 = all_1653_1_1866)
% 63.26/22.51 |
% 63.26/22.51 | Applying alpha-rule on (6588) yields:
% 63.26/22.51 | (6589) a_select3(q_ds1_filter, all_0_6_6, tptp_minus_1) = all_1653_0_1865
% 63.26/22.51 | (6590) ~ (all_1653_2_1867 = 0) | ~ (all_1653_3_1868 = 0) | all_1653_0_1865 = all_1653_1_1866
% 63.26/22.51 | (6591) a_select3(q_ds1_filter, tptp_minus_1, all_0_6_6) = all_1653_1_1866
% 63.26/22.51 | (6592) leq(n0, tptp_minus_1) = all_1653_3_1868
% 63.26/22.51 | (6593) leq(n0, all_0_6_6) = all_1653_2_1867
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (349) follows:
% 63.26/22.51 | (137) leq(tptp_minus_1, n5) = 0
% 63.26/22.51 |
% 63.26/22.51 +-Applying beta-rule and splitting (1808), into two cases.
% 63.26/22.51 |-Branch one:
% 63.26/22.51 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.26/22.51 |
% 63.26/22.51 | From (143) and (358) follows:
% 63.26/22.51 | (359) ~ (leq(n0, n5) = 0)
% 63.26/22.51 |
% 63.26/22.51 | Using (138) and (359) yields:
% 63.26/22.51 | (276) $false
% 63.26/22.51 |
% 63.26/22.51 |-The branch is then unsatisfiable
% 63.26/22.51 |-Branch two:
% 63.26/22.51 | (361) leq(n0, all_0_9_9) = 0
% 63.26/22.51 | (2263) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.51 |
% 63.26/22.51 | Instantiating (2263) with all_1658_0_1869, all_1658_1_1870, all_1658_2_1871, all_1658_3_1872 yields:
% 63.26/22.51 | (6600) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1658_0_1869 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1658_1_1870 & leq(n0, all_0_6_6) = all_1658_2_1871 & leq(n0, n0) = all_1658_3_1872 & ( ~ (all_1658_2_1871 = 0) | ~ (all_1658_3_1872 = 0) | all_1658_0_1869 = all_1658_1_1870)
% 63.26/22.51 |
% 63.26/22.51 | Applying alpha-rule on (6600) yields:
% 63.26/22.51 | (6601) leq(n0, all_0_6_6) = all_1658_2_1871
% 63.26/22.51 | (6602) a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1658_1_1870
% 63.26/22.51 | (6603) ~ (all_1658_2_1871 = 0) | ~ (all_1658_3_1872 = 0) | all_1658_0_1869 = all_1658_1_1870
% 63.26/22.52 | (6604) leq(n0, n0) = all_1658_3_1872
% 63.26/22.52 | (6605) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1658_0_1869
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (361) follows:
% 63.26/22.52 | (138) leq(n0, n5) = 0
% 63.26/22.52 |
% 63.26/22.52 +-Applying beta-rule and splitting (1814), into two cases.
% 63.26/22.52 |-Branch one:
% 63.26/22.52 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (358) follows:
% 63.26/22.52 | (359) ~ (leq(n0, n5) = 0)
% 63.26/22.52 |
% 63.26/22.52 | Using (138) and (359) yields:
% 63.26/22.52 | (276) $false
% 63.26/22.52 |
% 63.26/22.52 |-The branch is then unsatisfiable
% 63.26/22.52 |-Branch two:
% 63.26/22.52 | (361) leq(n0, all_0_9_9) = 0
% 63.26/22.52 | (2275) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.52 |
% 63.26/22.52 | Instantiating (2275) with all_1663_0_1873, all_1663_1_1874, all_1663_2_1875, all_1663_3_1876 yields:
% 63.26/22.52 | (6612) a_select3(q_ds1_filter, all_0_6_6, n0) = all_1663_1_1874 & a_select3(q_ds1_filter, n0, all_0_6_6) = all_1663_0_1873 & leq(n0, all_0_6_6) = all_1663_3_1876 & leq(n0, n0) = all_1663_2_1875 & ( ~ (all_1663_2_1875 = 0) | ~ (all_1663_3_1876 = 0) | all_1663_0_1873 = all_1663_1_1874)
% 63.26/22.52 |
% 63.26/22.52 | Applying alpha-rule on (6612) yields:
% 63.26/22.52 | (6613) ~ (all_1663_2_1875 = 0) | ~ (all_1663_3_1876 = 0) | all_1663_0_1873 = all_1663_1_1874
% 63.26/22.52 | (6614) a_select3(q_ds1_filter, all_0_6_6, n0) = all_1663_1_1874
% 63.26/22.52 | (6615) leq(n0, all_0_6_6) = all_1663_3_1876
% 63.26/22.52 | (6616) leq(n0, n0) = all_1663_2_1875
% 63.26/22.52 | (6617) a_select3(q_ds1_filter, n0, all_0_6_6) = all_1663_0_1873
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (361) follows:
% 63.26/22.52 | (138) leq(n0, n5) = 0
% 63.26/22.52 |
% 63.26/22.52 +-Applying beta-rule and splitting (1820), into two cases.
% 63.26/22.52 |-Branch one:
% 63.26/22.52 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (298) follows:
% 63.26/22.52 | (299) ~ (leq(n4, n5) = 0)
% 63.26/22.52 |
% 63.26/22.52 | Using (133) and (299) yields:
% 63.26/22.52 | (276) $false
% 63.26/22.52 |
% 63.26/22.52 |-The branch is then unsatisfiable
% 63.26/22.52 |-Branch two:
% 63.26/22.52 | (301) leq(n4, all_0_9_9) = 0
% 63.26/22.52 | (2287) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v2 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.52 |
% 63.26/22.52 | Instantiating (2287) with all_1668_0_1877, all_1668_1_1878, all_1668_2_1879, all_1668_3_1880 yields:
% 63.26/22.52 | (6624) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1668_1_1878 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1668_0_1877 & leq(n0, all_0_7_7) = all_1668_3_1880 & leq(n0, n4) = all_1668_2_1879 & ( ~ (all_1668_2_1879 = 0) | ~ (all_1668_3_1880 = 0) | all_1668_0_1877 = all_1668_1_1878)
% 63.26/22.52 |
% 63.26/22.52 | Applying alpha-rule on (6624) yields:
% 63.26/22.52 | (6625) ~ (all_1668_2_1879 = 0) | ~ (all_1668_3_1880 = 0) | all_1668_0_1877 = all_1668_1_1878
% 63.26/22.52 | (6626) leq(n0, all_0_7_7) = all_1668_3_1880
% 63.26/22.52 | (6627) leq(n0, n4) = all_1668_2_1879
% 63.26/22.52 | (6628) a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1668_0_1877
% 63.26/22.52 | (6629) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1668_1_1878
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (301) follows:
% 63.26/22.52 | (133) leq(n4, n5) = 0
% 63.26/22.52 |
% 63.26/22.52 +-Applying beta-rule and splitting (1826), into two cases.
% 63.26/22.52 |-Branch one:
% 63.26/22.52 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (298) follows:
% 63.26/22.52 | (299) ~ (leq(n4, n5) = 0)
% 63.26/22.52 |
% 63.26/22.52 | Using (133) and (299) yields:
% 63.26/22.52 | (276) $false
% 63.26/22.52 |
% 63.26/22.52 |-The branch is then unsatisfiable
% 63.26/22.52 |-Branch two:
% 63.26/22.52 | (301) leq(n4, all_0_9_9) = 0
% 63.26/22.52 | (2299) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v3 & a_select3(q_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.52 |
% 63.26/22.52 | Instantiating (2299) with all_1673_0_1881, all_1673_1_1882, all_1673_2_1883, all_1673_3_1884 yields:
% 63.26/22.52 | (6636) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1673_0_1881 & a_select3(q_ds1_filter, n4, all_0_7_7) = all_1673_1_1882 & leq(n0, all_0_7_7) = all_1673_2_1883 & leq(n0, n4) = all_1673_3_1884 & ( ~ (all_1673_2_1883 = 0) | ~ (all_1673_3_1884 = 0) | all_1673_0_1881 = all_1673_1_1882)
% 63.26/22.52 |
% 63.26/22.52 | Applying alpha-rule on (6636) yields:
% 63.26/22.52 | (6637) a_select3(q_ds1_filter, n4, all_0_7_7) = all_1673_1_1882
% 63.26/22.52 | (6638) leq(n0, n4) = all_1673_3_1884
% 63.26/22.52 | (6639) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1673_0_1881
% 63.26/22.52 | (6640) leq(n0, all_0_7_7) = all_1673_2_1883
% 63.26/22.52 | (6641) ~ (all_1673_2_1883 = 0) | ~ (all_1673_3_1884 = 0) | all_1673_0_1881 = all_1673_1_1882
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (301) follows:
% 63.26/22.52 | (133) leq(n4, n5) = 0
% 63.26/22.52 |
% 63.26/22.52 +-Applying beta-rule and splitting (1832), into two cases.
% 63.26/22.52 |-Branch one:
% 63.26/22.52 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.26/22.52 |
% 63.26/22.52 | From (143) and (298) follows:
% 63.26/22.52 | (299) ~ (leq(n4, n5) = 0)
% 63.26/22.52 |
% 63.26/22.52 | Using (133) and (299) yields:
% 63.26/22.52 | (276) $false
% 63.26/22.52 |
% 63.26/22.52 |-The branch is then unsatisfiable
% 63.26/22.52 |-Branch two:
% 63.26/22.52 | (301) leq(n4, all_0_9_9) = 0
% 63.26/22.52 | (2311) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n4) = v2 & a_select3(q_ds1_filter, n4, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.52 |
% 63.26/22.52 | Instantiating (2311) with all_1678_0_1885, all_1678_1_1886, all_1678_2_1887, all_1678_3_1888 yields:
% 63.26/22.52 | (6648) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1678_1_1886 & a_select3(q_ds1_filter, n4, all_0_7_7) = all_1678_0_1885 & leq(n0, all_0_7_7) = all_1678_3_1888 & leq(n0, n4) = all_1678_2_1887 & ( ~ (all_1678_2_1887 = 0) | ~ (all_1678_3_1888 = 0) | all_1678_0_1885 = all_1678_1_1886)
% 63.26/22.52 |
% 63.26/22.52 | Applying alpha-rule on (6648) yields:
% 63.26/22.52 | (6649) leq(n0, n4) = all_1678_2_1887
% 63.26/22.52 | (6650) a_select3(q_ds1_filter, n4, all_0_7_7) = all_1678_0_1885
% 63.26/22.53 | (6651) ~ (all_1678_2_1887 = 0) | ~ (all_1678_3_1888 = 0) | all_1678_0_1885 = all_1678_1_1886
% 63.26/22.53 | (6652) leq(n0, all_0_7_7) = all_1678_3_1888
% 63.26/22.53 | (6653) a_select3(q_ds1_filter, all_0_7_7, n4) = all_1678_1_1886
% 63.26/22.53 |
% 63.26/22.53 | From (143) and (301) follows:
% 63.26/22.53 | (133) leq(n4, n5) = 0
% 63.26/22.53 |
% 63.26/22.53 +-Applying beta-rule and splitting (1838), into two cases.
% 63.26/22.53 |-Branch one:
% 63.26/22.53 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.53 |
% 63.26/22.53 | From (143) and (316) follows:
% 63.26/22.53 | (317) ~ (leq(n3, n5) = 0)
% 63.26/22.53 |
% 63.26/22.53 | Using (134) and (317) yields:
% 63.26/22.53 | (276) $false
% 63.26/22.53 |
% 63.26/22.53 |-The branch is then unsatisfiable
% 63.26/22.53 |-Branch two:
% 63.26/22.53 | (319) leq(n3, all_0_9_9) = 0
% 63.26/22.53 | (2322) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v3 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.26/22.53 |
% 63.26/22.53 | Instantiating (2322) with all_1683_0_1889, all_1683_1_1890, all_1683_2_1891, all_1683_3_1892 yields:
% 63.26/22.53 | (6660) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1683_0_1889 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1683_1_1890 & leq(n0, all_0_7_7) = all_1683_2_1891 & leq(n0, n3) = all_1683_3_1892 & ( ~ (all_1683_2_1891 = 0) | ~ (all_1683_3_1892 = 0) | all_1683_0_1889 = all_1683_1_1890)
% 63.26/22.53 |
% 63.26/22.53 | Applying alpha-rule on (6660) yields:
% 63.26/22.53 | (6661) leq(n0, n3) = all_1683_3_1892
% 63.26/22.53 | (6662) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1683_0_1889
% 63.26/22.53 | (6663) a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1683_1_1890
% 63.26/22.53 | (6664) ~ (all_1683_2_1891 = 0) | ~ (all_1683_3_1892 = 0) | all_1683_0_1889 = all_1683_1_1890
% 63.26/22.53 | (6665) leq(n0, all_0_7_7) = all_1683_2_1891
% 63.26/22.53 |
% 63.26/22.53 | From (143) and (319) follows:
% 63.26/22.53 | (134) leq(n3, n5) = 0
% 63.26/22.53 |
% 63.26/22.53 +-Applying beta-rule and splitting (1844), into two cases.
% 63.26/22.53 |-Branch one:
% 63.26/22.53 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.26/22.53 |
% 63.26/22.53 | From (143) and (316) follows:
% 63.26/22.53 | (317) ~ (leq(n3, n5) = 0)
% 63.35/22.53 |
% 63.35/22.53 | Using (134) and (317) yields:
% 63.35/22.53 | (276) $false
% 63.35/22.53 |
% 63.35/22.53 |-The branch is then unsatisfiable
% 63.35/22.53 |-Branch two:
% 63.35/22.53 | (319) leq(n3, all_0_9_9) = 0
% 63.35/22.53 | (2334) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v2 & a_select3(q_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.35/22.53 |
% 63.35/22.53 | Instantiating (2334) with all_1688_0_1893, all_1688_1_1894, all_1688_2_1895, all_1688_3_1896 yields:
% 63.35/22.53 | (6672) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1688_1_1894 & a_select3(q_ds1_filter, n3, all_0_7_7) = all_1688_0_1893 & leq(n0, all_0_7_7) = all_1688_3_1896 & leq(n0, n3) = all_1688_2_1895 & ( ~ (all_1688_2_1895 = 0) | ~ (all_1688_3_1896 = 0) | all_1688_0_1893 = all_1688_1_1894)
% 63.35/22.53 |
% 63.35/22.53 | Applying alpha-rule on (6672) yields:
% 63.35/22.53 | (6673) leq(n0, n3) = all_1688_2_1895
% 63.35/22.53 | (6674) leq(n0, all_0_7_7) = all_1688_3_1896
% 63.35/22.53 | (6675) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1688_1_1894
% 63.35/22.53 | (6676) ~ (all_1688_2_1895 = 0) | ~ (all_1688_3_1896 = 0) | all_1688_0_1893 = all_1688_1_1894
% 63.35/22.53 | (6677) a_select3(q_ds1_filter, n3, all_0_7_7) = all_1688_0_1893
% 63.35/22.53 |
% 63.35/22.53 | From (143) and (319) follows:
% 63.35/22.53 | (134) leq(n3, n5) = 0
% 63.35/22.53 |
% 63.35/22.53 +-Applying beta-rule and splitting (1850), into two cases.
% 63.35/22.53 |-Branch one:
% 63.35/22.53 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.35/22.53 |
% 63.35/22.53 | From (143) and (316) follows:
% 63.35/22.53 | (317) ~ (leq(n3, n5) = 0)
% 63.35/22.53 |
% 63.35/22.53 | Using (134) and (317) yields:
% 63.35/22.53 | (276) $false
% 63.35/22.53 |
% 63.35/22.53 |-The branch is then unsatisfiable
% 63.35/22.53 |-Branch two:
% 63.35/22.53 | (319) leq(n3, all_0_9_9) = 0
% 63.35/22.53 | (2346) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n3) = v2 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.35/22.53 |
% 63.35/22.53 | Instantiating (2346) with all_1693_0_1897, all_1693_1_1898, all_1693_2_1899, all_1693_3_1900 yields:
% 63.35/22.53 | (6684) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1693_1_1898 & a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1693_0_1897 & leq(n0, all_0_7_7) = all_1693_3_1900 & leq(n0, n3) = all_1693_2_1899 & ( ~ (all_1693_2_1899 = 0) | ~ (all_1693_3_1900 = 0) | all_1693_0_1897 = all_1693_1_1898)
% 63.35/22.53 |
% 63.35/22.53 | Applying alpha-rule on (6684) yields:
% 63.35/22.53 | (6685) leq(n0, n3) = all_1693_2_1899
% 63.35/22.53 | (6686) ~ (all_1693_2_1899 = 0) | ~ (all_1693_3_1900 = 0) | all_1693_0_1897 = all_1693_1_1898
% 63.35/22.53 | (6687) a_select3(pminus_ds1_filter, all_0_7_7, n3) = all_1693_1_1898
% 63.35/22.53 | (6688) leq(n0, all_0_7_7) = all_1693_3_1900
% 63.35/22.53 | (6689) a_select3(pminus_ds1_filter, n3, all_0_7_7) = all_1693_0_1897
% 63.35/22.53 |
% 63.35/22.53 | From (143) and (319) follows:
% 63.35/22.53 | (134) leq(n3, n5) = 0
% 63.35/22.53 |
% 63.35/22.53 +-Applying beta-rule and splitting (1856), into two cases.
% 63.35/22.53 |-Branch one:
% 63.35/22.53 | (316) ~ (leq(n3, all_0_9_9) = 0)
% 63.35/22.53 |
% 63.35/22.53 | From (143) and (316) follows:
% 63.35/22.53 | (317) ~ (leq(n3, n5) = 0)
% 63.35/22.53 |
% 63.35/22.53 | Using (134) and (317) yields:
% 63.35/22.53 | (276) $false
% 63.35/22.53 |
% 63.35/22.53 |-The branch is then unsatisfiable
% 63.35/22.53 |-Branch two:
% 63.35/22.53 | (319) leq(n3, all_0_9_9) = 0
% 63.35/22.53 | (2358) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n3) = v3 & a_select3(q_ds1_filter, n3, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.35/22.53 |
% 63.35/22.53 | Instantiating (2358) with all_1698_0_1901, all_1698_1_1902, all_1698_2_1903, all_1698_3_1904 yields:
% 63.35/22.53 | (6696) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1698_0_1901 & a_select3(q_ds1_filter, n3, all_0_7_7) = all_1698_1_1902 & leq(n0, all_0_7_7) = all_1698_2_1903 & leq(n0, n3) = all_1698_3_1904 & ( ~ (all_1698_2_1903 = 0) | ~ (all_1698_3_1904 = 0) | all_1698_0_1901 = all_1698_1_1902)
% 63.35/22.53 |
% 63.35/22.53 | Applying alpha-rule on (6696) yields:
% 63.35/22.53 | (6697) a_select3(q_ds1_filter, n3, all_0_7_7) = all_1698_1_1902
% 63.35/22.54 | (6698) leq(n0, all_0_7_7) = all_1698_2_1903
% 63.35/22.54 | (6699) a_select3(q_ds1_filter, all_0_7_7, n3) = all_1698_0_1901
% 63.35/22.54 | (6700) leq(n0, n3) = all_1698_3_1904
% 63.35/22.54 | (6701) ~ (all_1698_2_1903 = 0) | ~ (all_1698_3_1904 = 0) | all_1698_0_1901 = all_1698_1_1902
% 63.35/22.54 |
% 63.35/22.54 +-Applying beta-rule and splitting (1862), into two cases.
% 63.35/22.54 |-Branch one:
% 63.35/22.54 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.35/22.54 |
% 63.35/22.54 | From (143) and (310) follows:
% 63.35/22.54 | (311) ~ (leq(n2, n5) = 0)
% 63.35/22.54 |
% 63.35/22.54 | Using (135) and (311) yields:
% 63.35/22.54 | (276) $false
% 63.35/22.54 |
% 63.35/22.54 |-The branch is then unsatisfiable
% 63.35/22.54 |-Branch two:
% 63.35/22.54 | (313) leq(n2, all_0_9_9) = 0
% 63.35/22.54 | (2369) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n2) = v3 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.35/22.54 |
% 63.35/22.54 | Instantiating (2369) with all_1703_0_1905, all_1703_1_1906, all_1703_2_1907, all_1703_3_1908 yields:
% 63.35/22.54 | (6707) a_select3(pminus_ds1_filter, all_0_7_7, n2) = all_1703_0_1905 & a_select3(pminus_ds1_filter, n2, all_0_7_7) = all_1703_1_1906 & leq(n0, all_0_7_7) = all_1703_2_1907 & leq(n0, n2) = all_1703_3_1908 & ( ~ (all_1703_2_1907 = 0) | ~ (all_1703_3_1908 = 0) | all_1703_0_1905 = all_1703_1_1906)
% 63.35/22.54 |
% 63.35/22.54 | Applying alpha-rule on (6707) yields:
% 63.35/22.54 | (6708) a_select3(pminus_ds1_filter, n2, all_0_7_7) = all_1703_1_1906
% 63.35/22.54 | (6709) leq(n0, n2) = all_1703_3_1908
% 63.35/22.54 | (6710) leq(n0, all_0_7_7) = all_1703_2_1907
% 63.35/22.54 | (6711) ~ (all_1703_2_1907 = 0) | ~ (all_1703_3_1908 = 0) | all_1703_0_1905 = all_1703_1_1906
% 63.35/22.54 | (6712) a_select3(pminus_ds1_filter, all_0_7_7, n2) = all_1703_0_1905
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (313) follows:
% 63.36/22.54 | (135) leq(n2, n5) = 0
% 63.36/22.54 |
% 63.36/22.54 +-Applying beta-rule and splitting (1916), into two cases.
% 63.36/22.54 |-Branch one:
% 63.36/22.54 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (310) follows:
% 63.36/22.54 | (311) ~ (leq(n2, n5) = 0)
% 63.36/22.54 |
% 63.36/22.54 | Using (135) and (311) yields:
% 63.36/22.54 | (276) $false
% 63.36/22.54 |
% 63.36/22.54 |-The branch is then unsatisfiable
% 63.36/22.54 |-Branch two:
% 63.36/22.54 | (313) leq(n2, all_0_9_9) = 0
% 63.36/22.54 | (2405) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.54 |
% 63.36/22.54 | Instantiating (2405) with all_1709_0_1909, all_1709_1_1910, all_1709_2_1911, all_1709_3_1912 yields:
% 63.36/22.54 | (6719) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1709_0_1909 & a_select3(q_ds1_filter, n2, all_0_6_6) = all_1709_1_1910 & leq(n0, all_0_6_6) = all_1709_2_1911 & leq(n0, n2) = all_1709_3_1912 & ( ~ (all_1709_2_1911 = 0) | ~ (all_1709_3_1912 = 0) | all_1709_0_1909 = all_1709_1_1910)
% 63.36/22.54 |
% 63.36/22.54 | Applying alpha-rule on (6719) yields:
% 63.36/22.54 | (6720) ~ (all_1709_2_1911 = 0) | ~ (all_1709_3_1912 = 0) | all_1709_0_1909 = all_1709_1_1910
% 63.36/22.54 | (6721) leq(n0, n2) = all_1709_3_1912
% 63.36/22.54 | (6722) leq(n0, all_0_6_6) = all_1709_2_1911
% 63.36/22.54 | (6723) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1709_0_1909
% 63.36/22.54 | (6724) a_select3(q_ds1_filter, n2, all_0_6_6) = all_1709_1_1910
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (313) follows:
% 63.36/22.54 | (135) leq(n2, n5) = 0
% 63.36/22.54 |
% 63.36/22.54 +-Applying beta-rule and splitting (1922), into two cases.
% 63.36/22.54 |-Branch one:
% 63.36/22.54 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (310) follows:
% 63.36/22.54 | (311) ~ (leq(n2, n5) = 0)
% 63.36/22.54 |
% 63.36/22.54 | Using (135) and (311) yields:
% 63.36/22.54 | (276) $false
% 63.36/22.54 |
% 63.36/22.54 |-The branch is then unsatisfiable
% 63.36/22.54 |-Branch two:
% 63.36/22.54 | (313) leq(n2, all_0_9_9) = 0
% 63.36/22.54 | (2417) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.54 |
% 63.36/22.54 | Instantiating (2417) with all_1714_0_1913, all_1714_1_1914, all_1714_2_1915, all_1714_3_1916 yields:
% 63.36/22.54 | (6731) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1714_1_1914 & a_select3(q_ds1_filter, n2, all_0_6_6) = all_1714_0_1913 & leq(n0, all_0_6_6) = all_1714_3_1916 & leq(n0, n2) = all_1714_2_1915 & ( ~ (all_1714_2_1915 = 0) | ~ (all_1714_3_1916 = 0) | all_1714_0_1913 = all_1714_1_1914)
% 63.36/22.54 |
% 63.36/22.54 | Applying alpha-rule on (6731) yields:
% 63.36/22.54 | (6732) leq(n0, all_0_6_6) = all_1714_3_1916
% 63.36/22.54 | (6733) a_select3(q_ds1_filter, n2, all_0_6_6) = all_1714_0_1913
% 63.36/22.54 | (6734) leq(n0, n2) = all_1714_2_1915
% 63.36/22.54 | (6735) a_select3(q_ds1_filter, all_0_6_6, n2) = all_1714_1_1914
% 63.36/22.54 | (6736) ~ (all_1714_2_1915 = 0) | ~ (all_1714_3_1916 = 0) | all_1714_0_1913 = all_1714_1_1914
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (313) follows:
% 63.36/22.54 | (135) leq(n2, n5) = 0
% 63.36/22.54 |
% 63.36/22.54 +-Applying beta-rule and splitting (1928), into two cases.
% 63.36/22.54 |-Branch one:
% 63.36/22.54 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.54 |
% 63.36/22.54 | From (143) and (334) follows:
% 63.36/22.54 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.54 |
% 63.36/22.54 | Using (136) and (335) yields:
% 63.36/22.54 | (276) $false
% 63.36/22.54 |
% 63.36/22.54 |-The branch is then unsatisfiable
% 63.36/22.54 |-Branch two:
% 63.36/22.54 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.54 | (2429) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.54 |
% 63.36/22.54 | Instantiating (2429) with all_1719_0_1917, all_1719_1_1918, all_1719_2_1919, all_1719_3_1920 yields:
% 63.36/22.54 | (6743) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1719_0_1917 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1719_1_1918 & leq(n0, all_0_6_6) = all_1719_2_1919 & leq(n0, n1) = all_1719_3_1920 & ( ~ (all_1719_2_1919 = 0) | ~ (all_1719_3_1920 = 0) | all_1719_0_1917 = all_1719_1_1918)
% 63.36/22.54 |
% 63.36/22.55 | Applying alpha-rule on (6743) yields:
% 63.36/22.55 | (6744) a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1719_1_1918
% 63.36/22.55 | (6745) leq(n0, all_0_6_6) = all_1719_2_1919
% 63.36/22.55 | (6746) ~ (all_1719_2_1919 = 0) | ~ (all_1719_3_1920 = 0) | all_1719_0_1917 = all_1719_1_1918
% 63.36/22.55 | (6747) leq(n0, n1) = all_1719_3_1920
% 63.36/22.55 | (6748) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1719_0_1917
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (337) follows:
% 63.36/22.55 | (136) leq(n1, n5) = 0
% 63.36/22.55 |
% 63.36/22.55 +-Applying beta-rule and splitting (1934), into two cases.
% 63.36/22.55 |-Branch one:
% 63.36/22.55 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (334) follows:
% 63.36/22.55 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.55 |
% 63.36/22.55 | Using (136) and (335) yields:
% 63.36/22.55 | (276) $false
% 63.36/22.55 |
% 63.36/22.55 |-The branch is then unsatisfiable
% 63.36/22.55 |-Branch two:
% 63.36/22.55 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.55 | (2441) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.55 |
% 63.36/22.55 | Instantiating (2441) with all_1724_0_1921, all_1724_1_1922, all_1724_2_1923, all_1724_3_1924 yields:
% 63.36/22.55 | (6755) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1724_1_1922 & a_select3(q_ds1_filter, n1, all_0_6_6) = all_1724_0_1921 & leq(n0, all_0_6_6) = all_1724_3_1924 & leq(n0, n1) = all_1724_2_1923 & ( ~ (all_1724_2_1923 = 0) | ~ (all_1724_3_1924 = 0) | all_1724_0_1921 = all_1724_1_1922)
% 63.36/22.55 |
% 63.36/22.55 | Applying alpha-rule on (6755) yields:
% 63.36/22.55 | (6756) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1724_1_1922
% 63.36/22.55 | (6757) leq(n0, all_0_6_6) = all_1724_3_1924
% 63.36/22.55 | (6758) leq(n0, n1) = all_1724_2_1923
% 63.36/22.55 | (6759) a_select3(q_ds1_filter, n1, all_0_6_6) = all_1724_0_1921
% 63.36/22.55 | (6760) ~ (all_1724_2_1923 = 0) | ~ (all_1724_3_1924 = 0) | all_1724_0_1921 = all_1724_1_1922
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (337) follows:
% 63.36/22.55 | (136) leq(n1, n5) = 0
% 63.36/22.55 |
% 63.36/22.55 +-Applying beta-rule and splitting (1898), into two cases.
% 63.36/22.55 |-Branch one:
% 63.36/22.55 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (334) follows:
% 63.36/22.55 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.55 |
% 63.36/22.55 | Using (136) and (335) yields:
% 63.36/22.55 | (276) $false
% 63.36/22.55 |
% 63.36/22.55 |-The branch is then unsatisfiable
% 63.36/22.55 |-Branch two:
% 63.36/22.55 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.55 | (2381) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.55 |
% 63.36/22.55 | Instantiating (2381) with all_1729_0_1925, all_1729_1_1926, all_1729_2_1927, all_1729_3_1928 yields:
% 63.36/22.55 | (6767) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1729_1_1926 & a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1729_0_1925 & leq(n0, all_0_6_6) = all_1729_3_1928 & leq(n0, n1) = all_1729_2_1927 & ( ~ (all_1729_2_1927 = 0) | ~ (all_1729_3_1928 = 0) | all_1729_0_1925 = all_1729_1_1926)
% 63.36/22.55 |
% 63.36/22.55 | Applying alpha-rule on (6767) yields:
% 63.36/22.55 | (6768) a_select3(pminus_ds1_filter, n1, all_0_6_6) = all_1729_0_1925
% 63.36/22.55 | (6769) a_select3(pminus_ds1_filter, all_0_6_6, n1) = all_1729_1_1926
% 63.36/22.55 | (6770) leq(n0, all_0_6_6) = all_1729_3_1928
% 63.36/22.55 | (6771) leq(n0, n1) = all_1729_2_1927
% 63.36/22.55 | (6772) ~ (all_1729_2_1927 = 0) | ~ (all_1729_3_1928 = 0) | all_1729_0_1925 = all_1729_1_1926
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (337) follows:
% 63.36/22.55 | (136) leq(n1, n5) = 0
% 63.36/22.55 |
% 63.36/22.55 +-Applying beta-rule and splitting (1904), into two cases.
% 63.36/22.55 |-Branch one:
% 63.36/22.55 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (334) follows:
% 63.36/22.55 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.55 |
% 63.36/22.55 | Using (136) and (335) yields:
% 63.36/22.55 | (276) $false
% 63.36/22.55 |
% 63.36/22.55 |-The branch is then unsatisfiable
% 63.36/22.55 |-Branch two:
% 63.36/22.55 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.55 | (2393) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_6_6, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_6_6) = v2 & leq(n0, all_0_6_6) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.55 |
% 63.36/22.55 | Instantiating (2393) with all_1734_0_1929, all_1734_1_1930, all_1734_2_1931, all_1734_3_1932 yields:
% 63.36/22.55 | (6779) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1734_0_1929 & a_select3(q_ds1_filter, n1, all_0_6_6) = all_1734_1_1930 & leq(n0, all_0_6_6) = all_1734_2_1931 & leq(n0, n1) = all_1734_3_1932 & ( ~ (all_1734_2_1931 = 0) | ~ (all_1734_3_1932 = 0) | all_1734_0_1929 = all_1734_1_1930)
% 63.36/22.55 |
% 63.36/22.55 | Applying alpha-rule on (6779) yields:
% 63.36/22.55 | (6780) leq(n0, all_0_6_6) = all_1734_2_1931
% 63.36/22.55 | (6781) leq(n0, n1) = all_1734_3_1932
% 63.36/22.55 | (6782) ~ (all_1734_2_1931 = 0) | ~ (all_1734_3_1932 = 0) | all_1734_0_1929 = all_1734_1_1930
% 63.36/22.55 | (6783) a_select3(q_ds1_filter, n1, all_0_6_6) = all_1734_1_1930
% 63.36/22.55 | (6784) a_select3(q_ds1_filter, all_0_6_6, n1) = all_1734_0_1929
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (337) follows:
% 63.36/22.55 | (136) leq(n1, n5) = 0
% 63.36/22.55 |
% 63.36/22.55 +-Applying beta-rule and splitting (1939), into two cases.
% 63.36/22.55 |-Branch one:
% 63.36/22.55 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.36/22.55 |
% 63.36/22.55 | From (143) and (274) follows:
% 63.36/22.55 | (275) ~ (leq(n5, n5) = 0)
% 63.36/22.55 |
% 63.36/22.55 | Using (132) and (275) yields:
% 63.36/22.55 | (276) $false
% 63.36/22.55 |
% 63.36/22.55 |-The branch is then unsatisfiable
% 63.36/22.55 |-Branch two:
% 63.36/22.55 | (277) leq(n5, all_0_9_9) = 0
% 63.36/22.55 | (2453) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v3 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.55 |
% 63.36/22.55 | Instantiating (2453) with all_1739_0_1933, all_1739_1_1934, all_1739_2_1935, all_1739_3_1936 yields:
% 63.36/22.56 | (6791) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1739_0_1933 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1739_1_1934 & leq(n0, all_0_7_7) = all_1739_2_1935 & leq(n0, n5) = all_1739_3_1936 & ( ~ (all_1739_2_1935 = 0) | ~ (all_1739_3_1936 = 0) | all_1739_0_1933 = all_1739_1_1934)
% 63.36/22.56 |
% 63.36/22.56 | Applying alpha-rule on (6791) yields:
% 63.36/22.56 | (6792) leq(n0, n5) = all_1739_3_1936
% 63.36/22.56 | (6793) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1739_0_1933
% 63.36/22.56 | (6794) a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1739_1_1934
% 63.36/22.56 | (6795) leq(n0, all_0_7_7) = all_1739_2_1935
% 63.36/22.56 | (6796) ~ (all_1739_2_1935 = 0) | ~ (all_1739_3_1936 = 0) | all_1739_0_1933 = all_1739_1_1934
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (277) follows:
% 63.36/22.56 | (132) leq(n5, n5) = 0
% 63.36/22.56 |
% 63.36/22.56 +-Applying beta-rule and splitting (1945), into two cases.
% 63.36/22.56 |-Branch one:
% 63.36/22.56 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (274) follows:
% 63.36/22.56 | (275) ~ (leq(n5, n5) = 0)
% 63.36/22.56 |
% 63.36/22.56 | Using (132) and (275) yields:
% 63.36/22.56 | (276) $false
% 63.36/22.56 |
% 63.36/22.56 |-The branch is then unsatisfiable
% 63.36/22.56 |-Branch two:
% 63.36/22.56 | (277) leq(n5, all_0_9_9) = 0
% 63.36/22.56 | (2465) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v2 & a_select3(q_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.56 |
% 63.36/22.56 | Instantiating (2465) with all_1744_0_1937, all_1744_1_1938, all_1744_2_1939, all_1744_3_1940 yields:
% 63.36/22.56 | (6803) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1744_1_1938 & a_select3(q_ds1_filter, n5, all_0_7_7) = all_1744_0_1937 & leq(n0, all_0_7_7) = all_1744_3_1940 & leq(n0, n5) = all_1744_2_1939 & ( ~ (all_1744_2_1939 = 0) | ~ (all_1744_3_1940 = 0) | all_1744_0_1937 = all_1744_1_1938)
% 63.36/22.56 |
% 63.36/22.56 | Applying alpha-rule on (6803) yields:
% 63.36/22.56 | (6804) ~ (all_1744_2_1939 = 0) | ~ (all_1744_3_1940 = 0) | all_1744_0_1937 = all_1744_1_1938
% 63.36/22.56 | (6805) leq(n0, all_0_7_7) = all_1744_3_1940
% 63.36/22.56 | (6806) leq(n0, n5) = all_1744_2_1939
% 63.36/22.56 | (6807) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1744_1_1938
% 63.36/22.56 | (6808) a_select3(q_ds1_filter, n5, all_0_7_7) = all_1744_0_1937
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (277) follows:
% 63.36/22.56 | (132) leq(n5, n5) = 0
% 63.36/22.56 |
% 63.36/22.56 +-Applying beta-rule and splitting (1951), into two cases.
% 63.36/22.56 |-Branch one:
% 63.36/22.56 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (274) follows:
% 63.36/22.56 | (275) ~ (leq(n5, n5) = 0)
% 63.36/22.56 |
% 63.36/22.56 | Using (132) and (275) yields:
% 63.36/22.56 | (276) $false
% 63.36/22.56 |
% 63.36/22.56 |-The branch is then unsatisfiable
% 63.36/22.56 |-Branch two:
% 63.36/22.56 | (277) leq(n5, all_0_9_9) = 0
% 63.36/22.56 | (2477) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n5) = v2 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.56 |
% 63.36/22.56 | Instantiating (2477) with all_1749_0_1941, all_1749_1_1942, all_1749_2_1943, all_1749_3_1944 yields:
% 63.36/22.56 | (6815) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1749_1_1942 & a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1749_0_1941 & leq(n0, all_0_7_7) = all_1749_3_1944 & leq(n0, n5) = all_1749_2_1943 & ( ~ (all_1749_2_1943 = 0) | ~ (all_1749_3_1944 = 0) | all_1749_0_1941 = all_1749_1_1942)
% 63.36/22.56 |
% 63.36/22.56 | Applying alpha-rule on (6815) yields:
% 63.36/22.56 | (6816) leq(n0, n5) = all_1749_2_1943
% 63.36/22.56 | (6817) ~ (all_1749_2_1943 = 0) | ~ (all_1749_3_1944 = 0) | all_1749_0_1941 = all_1749_1_1942
% 63.36/22.56 | (6818) a_select3(pminus_ds1_filter, all_0_7_7, n5) = all_1749_1_1942
% 63.36/22.56 | (6819) a_select3(pminus_ds1_filter, n5, all_0_7_7) = all_1749_0_1941
% 63.36/22.56 | (6820) leq(n0, all_0_7_7) = all_1749_3_1944
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (277) follows:
% 63.36/22.56 | (132) leq(n5, n5) = 0
% 63.36/22.56 |
% 63.36/22.56 +-Applying beta-rule and splitting (1957), into two cases.
% 63.36/22.56 |-Branch one:
% 63.36/22.56 | (274) ~ (leq(n5, all_0_9_9) = 0)
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (274) follows:
% 63.36/22.56 | (275) ~ (leq(n5, n5) = 0)
% 63.36/22.56 |
% 63.36/22.56 | Using (132) and (275) yields:
% 63.36/22.56 | (276) $false
% 63.36/22.56 |
% 63.36/22.56 |-The branch is then unsatisfiable
% 63.36/22.56 |-Branch two:
% 63.36/22.56 | (277) leq(n5, all_0_9_9) = 0
% 63.36/22.56 | (2489) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n5) = v3 & a_select3(q_ds1_filter, n5, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.56 |
% 63.36/22.56 | Instantiating (2489) with all_1754_0_1945, all_1754_1_1946, all_1754_2_1947, all_1754_3_1948 yields:
% 63.36/22.56 | (6827) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1754_0_1945 & a_select3(q_ds1_filter, n5, all_0_7_7) = all_1754_1_1946 & leq(n0, all_0_7_7) = all_1754_2_1947 & leq(n0, n5) = all_1754_3_1948 & ( ~ (all_1754_2_1947 = 0) | ~ (all_1754_3_1948 = 0) | all_1754_0_1945 = all_1754_1_1946)
% 63.36/22.56 |
% 63.36/22.56 | Applying alpha-rule on (6827) yields:
% 63.36/22.56 | (6828) leq(n0, n5) = all_1754_3_1948
% 63.36/22.56 | (6829) a_select3(q_ds1_filter, all_0_7_7, n5) = all_1754_0_1945
% 63.36/22.56 | (6830) ~ (all_1754_2_1947 = 0) | ~ (all_1754_3_1948 = 0) | all_1754_0_1945 = all_1754_1_1946
% 63.36/22.56 | (6831) a_select3(q_ds1_filter, n5, all_0_7_7) = all_1754_1_1946
% 63.36/22.56 | (6832) leq(n0, all_0_7_7) = all_1754_2_1947
% 63.36/22.56 |
% 63.36/22.56 +-Applying beta-rule and splitting (1969), into two cases.
% 63.36/22.56 |-Branch one:
% 63.36/22.56 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.36/22.56 |
% 63.36/22.56 | From (143) and (346) follows:
% 63.36/22.56 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.36/22.56 |
% 63.36/22.56 | Using (137) and (347) yields:
% 63.36/22.56 | (276) $false
% 63.36/22.56 |
% 63.36/22.56 |-The branch is then unsatisfiable
% 63.36/22.56 |-Branch two:
% 63.36/22.56 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.36/22.56 | (2500) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.57 |
% 63.36/22.57 | Instantiating (2500) with all_1759_0_1949, all_1759_1_1950, all_1759_2_1951, all_1759_3_1952 yields:
% 63.36/22.57 | (6838) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1759_1_1950 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1759_0_1949 & leq(n0, all_0_7_7) = all_1759_3_1952 & leq(n0, tptp_minus_1) = all_1759_2_1951 & ( ~ (all_1759_2_1951 = 0) | ~ (all_1759_3_1952 = 0) | all_1759_0_1949 = all_1759_1_1950)
% 63.36/22.57 |
% 63.36/22.57 | Applying alpha-rule on (6838) yields:
% 63.36/22.57 | (6839) ~ (all_1759_2_1951 = 0) | ~ (all_1759_3_1952 = 0) | all_1759_0_1949 = all_1759_1_1950
% 63.36/22.57 | (6840) leq(n0, tptp_minus_1) = all_1759_2_1951
% 63.36/22.57 | (6841) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1759_0_1949
% 63.36/22.57 | (6842) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1759_1_1950
% 63.36/22.57 | (6843) leq(n0, all_0_7_7) = all_1759_3_1952
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (349) follows:
% 63.36/22.57 | (137) leq(tptp_minus_1, n5) = 0
% 63.36/22.57 |
% 63.36/22.57 +-Applying beta-rule and splitting (1975), into two cases.
% 63.36/22.57 |-Branch one:
% 63.36/22.57 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (346) follows:
% 63.36/22.57 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.36/22.57 |
% 63.36/22.57 | Using (137) and (347) yields:
% 63.36/22.57 | (276) $false
% 63.36/22.57 |
% 63.36/22.57 |-The branch is then unsatisfiable
% 63.36/22.57 |-Branch two:
% 63.36/22.57 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.36/22.57 | (2512) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.57 |
% 63.36/22.57 | Instantiating (2512) with all_1764_0_1953, all_1764_1_1954, all_1764_2_1955, all_1764_3_1956 yields:
% 63.36/22.57 | (6850) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1764_0_1953 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1764_1_1954 & leq(n0, all_0_7_7) = all_1764_2_1955 & leq(n0, tptp_minus_1) = all_1764_3_1956 & ( ~ (all_1764_2_1955 = 0) | ~ (all_1764_3_1956 = 0) | all_1764_0_1953 = all_1764_1_1954)
% 63.36/22.57 |
% 63.36/22.57 | Applying alpha-rule on (6850) yields:
% 63.36/22.57 | (6851) a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1764_1_1954
% 63.36/22.57 | (6852) leq(n0, tptp_minus_1) = all_1764_3_1956
% 63.36/22.57 | (6853) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1764_0_1953
% 63.36/22.57 | (6854) ~ (all_1764_2_1955 = 0) | ~ (all_1764_3_1956 = 0) | all_1764_0_1953 = all_1764_1_1954
% 63.36/22.57 | (6855) leq(n0, all_0_7_7) = all_1764_2_1955
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (349) follows:
% 63.36/22.57 | (137) leq(tptp_minus_1, n5) = 0
% 63.36/22.57 |
% 63.36/22.57 +-Applying beta-rule and splitting (1981), into two cases.
% 63.36/22.57 |-Branch one:
% 63.36/22.57 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (346) follows:
% 63.36/22.57 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.36/22.57 |
% 63.36/22.57 | Using (137) and (347) yields:
% 63.36/22.57 | (276) $false
% 63.36/22.57 |
% 63.36/22.57 |-The branch is then unsatisfiable
% 63.36/22.57 |-Branch two:
% 63.36/22.57 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.36/22.57 | (2524) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = v2 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, tptp_minus_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.57 |
% 63.36/22.57 | Instantiating (2524) with all_1769_0_1957, all_1769_1_1958, all_1769_2_1959, all_1769_3_1960 yields:
% 63.36/22.57 | (6862) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1769_1_1958 & a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1769_0_1957 & leq(n0, all_0_7_7) = all_1769_3_1960 & leq(n0, tptp_minus_1) = all_1769_2_1959 & ( ~ (all_1769_2_1959 = 0) | ~ (all_1769_3_1960 = 0) | all_1769_0_1957 = all_1769_1_1958)
% 63.36/22.57 |
% 63.36/22.57 | Applying alpha-rule on (6862) yields:
% 63.36/22.57 | (6863) leq(n0, all_0_7_7) = all_1769_3_1960
% 63.36/22.57 | (6864) a_select3(q_ds1_filter, tptp_minus_1, all_0_7_7) = all_1769_0_1957
% 63.36/22.57 | (6865) ~ (all_1769_2_1959 = 0) | ~ (all_1769_3_1960 = 0) | all_1769_0_1957 = all_1769_1_1958
% 63.36/22.57 | (6866) a_select3(q_ds1_filter, all_0_7_7, tptp_minus_1) = all_1769_1_1958
% 63.36/22.57 | (6867) leq(n0, tptp_minus_1) = all_1769_2_1959
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (349) follows:
% 63.36/22.57 | (137) leq(tptp_minus_1, n5) = 0
% 63.36/22.57 |
% 63.36/22.57 +-Applying beta-rule and splitting (1987), into two cases.
% 63.36/22.57 |-Branch one:
% 63.36/22.57 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.36/22.57 |
% 63.36/22.57 | From (143) and (358) follows:
% 63.36/22.57 | (359) ~ (leq(n0, n5) = 0)
% 63.36/22.57 |
% 63.36/22.57 | Using (138) and (359) yields:
% 63.36/22.57 | (276) $false
% 63.36/22.57 |
% 63.36/22.57 |-The branch is then unsatisfiable
% 63.36/22.57 |-Branch two:
% 63.36/22.57 | (361) leq(n0, all_0_9_9) = 0
% 63.36/22.57 | (2536) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v3 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.57 |
% 63.36/22.57 | Instantiating (2536) with all_1774_0_1961, all_1774_1_1962, all_1774_2_1963, all_1774_3_1964 yields:
% 63.36/22.57 | (6874) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1774_0_1961 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1774_1_1962 & leq(n0, all_0_7_7) = all_1774_2_1963 & leq(n0, n0) = all_1774_3_1964 & ( ~ (all_1774_2_1963 = 0) | ~ (all_1774_3_1964 = 0) | all_1774_0_1961 = all_1774_1_1962)
% 63.36/22.57 |
% 63.36/22.57 | Applying alpha-rule on (6874) yields:
% 63.36/22.57 | (6875) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1774_0_1961
% 63.36/22.57 | (6876) leq(n0, all_0_7_7) = all_1774_2_1963
% 63.36/22.57 | (6877) ~ (all_1774_2_1963 = 0) | ~ (all_1774_3_1964 = 0) | all_1774_0_1961 = all_1774_1_1962
% 63.36/22.57 | (6878) leq(n0, n0) = all_1774_3_1964
% 63.36/22.58 | (6879) a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1774_1_1962
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (361) follows:
% 63.36/22.58 | (138) leq(n0, n5) = 0
% 63.36/22.58 |
% 63.36/22.58 +-Applying beta-rule and splitting (1993), into two cases.
% 63.36/22.58 |-Branch one:
% 63.36/22.58 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (358) follows:
% 63.36/22.58 | (359) ~ (leq(n0, n5) = 0)
% 63.36/22.58 |
% 63.36/22.58 | Using (138) and (359) yields:
% 63.36/22.58 | (276) $false
% 63.36/22.58 |
% 63.36/22.58 |-The branch is then unsatisfiable
% 63.36/22.58 |-Branch two:
% 63.36/22.58 | (361) leq(n0, all_0_9_9) = 0
% 63.36/22.58 | (2548) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v2 & a_select3(q_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.58 |
% 63.36/22.58 | Instantiating (2548) with all_1779_0_1965, all_1779_1_1966, all_1779_2_1967, all_1779_3_1968 yields:
% 63.36/22.58 | (6886) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1779_1_1966 & a_select3(q_ds1_filter, n0, all_0_7_7) = all_1779_0_1965 & leq(n0, all_0_7_7) = all_1779_3_1968 & leq(n0, n0) = all_1779_2_1967 & ( ~ (all_1779_2_1967 = 0) | ~ (all_1779_3_1968 = 0) | all_1779_0_1965 = all_1779_1_1966)
% 63.36/22.58 |
% 63.36/22.58 | Applying alpha-rule on (6886) yields:
% 63.36/22.58 | (6887) ~ (all_1779_2_1967 = 0) | ~ (all_1779_3_1968 = 0) | all_1779_0_1965 = all_1779_1_1966
% 63.36/22.58 | (6888) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1779_1_1966
% 63.36/22.58 | (6889) leq(n0, all_0_7_7) = all_1779_3_1968
% 63.36/22.58 | (6890) leq(n0, n0) = all_1779_2_1967
% 63.36/22.58 | (6891) a_select3(q_ds1_filter, n0, all_0_7_7) = all_1779_0_1965
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (361) follows:
% 63.36/22.58 | (138) leq(n0, n5) = 0
% 63.36/22.58 |
% 63.36/22.58 +-Applying beta-rule and splitting (2005), into two cases.
% 63.36/22.58 |-Branch one:
% 63.36/22.58 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (310) follows:
% 63.36/22.58 | (311) ~ (leq(n2, n5) = 0)
% 63.36/22.58 |
% 63.36/22.58 | Using (135) and (311) yields:
% 63.36/22.58 | (276) $false
% 63.36/22.58 |
% 63.36/22.58 |-The branch is then unsatisfiable
% 63.36/22.58 |-Branch two:
% 63.36/22.58 | (313) leq(n2, all_0_9_9) = 0
% 63.36/22.58 | (2560) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v3 & a_select3(q_ds1_filter, n2, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.58 |
% 63.36/22.58 | Instantiating (2560) with all_1784_0_1969, all_1784_1_1970, all_1784_2_1971, all_1784_3_1972 yields:
% 63.36/22.58 | (6898) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1784_0_1969 & a_select3(q_ds1_filter, n2, all_0_7_7) = all_1784_1_1970 & leq(n0, all_0_7_7) = all_1784_2_1971 & leq(n0, n2) = all_1784_3_1972 & ( ~ (all_1784_2_1971 = 0) | ~ (all_1784_3_1972 = 0) | all_1784_0_1969 = all_1784_1_1970)
% 63.36/22.58 |
% 63.36/22.58 | Applying alpha-rule on (6898) yields:
% 63.36/22.58 | (6899) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1784_0_1969
% 63.36/22.58 | (6900) leq(n0, n2) = all_1784_3_1972
% 63.36/22.58 | (6901) leq(n0, all_0_7_7) = all_1784_2_1971
% 63.36/22.58 | (6902) a_select3(q_ds1_filter, n2, all_0_7_7) = all_1784_1_1970
% 63.36/22.58 | (6903) ~ (all_1784_2_1971 = 0) | ~ (all_1784_3_1972 = 0) | all_1784_0_1969 = all_1784_1_1970
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (313) follows:
% 63.36/22.58 | (135) leq(n2, n5) = 0
% 63.36/22.58 |
% 63.36/22.58 +-Applying beta-rule and splitting (2011), into two cases.
% 63.36/22.58 |-Branch one:
% 63.36/22.58 | (310) ~ (leq(n2, all_0_9_9) = 0)
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (310) follows:
% 63.36/22.58 | (311) ~ (leq(n2, n5) = 0)
% 63.36/22.58 |
% 63.36/22.58 | Using (135) and (311) yields:
% 63.36/22.58 | (276) $false
% 63.36/22.58 |
% 63.36/22.58 |-The branch is then unsatisfiable
% 63.36/22.58 |-Branch two:
% 63.36/22.58 | (313) leq(n2, all_0_9_9) = 0
% 63.36/22.58 | (2572) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n2) = v2 & a_select3(q_ds1_filter, n2, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.58 |
% 63.36/22.58 | Instantiating (2572) with all_1789_0_1973, all_1789_1_1974, all_1789_2_1975, all_1789_3_1976 yields:
% 63.36/22.58 | (6910) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1789_1_1974 & a_select3(q_ds1_filter, n2, all_0_7_7) = all_1789_0_1973 & leq(n0, all_0_7_7) = all_1789_3_1976 & leq(n0, n2) = all_1789_2_1975 & ( ~ (all_1789_2_1975 = 0) | ~ (all_1789_3_1976 = 0) | all_1789_0_1973 = all_1789_1_1974)
% 63.36/22.58 |
% 63.36/22.58 | Applying alpha-rule on (6910) yields:
% 63.36/22.58 | (6911) a_select3(q_ds1_filter, all_0_7_7, n2) = all_1789_1_1974
% 63.36/22.58 | (6912) leq(n0, n2) = all_1789_2_1975
% 63.36/22.58 | (6913) a_select3(q_ds1_filter, n2, all_0_7_7) = all_1789_0_1973
% 63.36/22.58 | (6914) leq(n0, all_0_7_7) = all_1789_3_1976
% 63.36/22.58 | (6915) ~ (all_1789_2_1975 = 0) | ~ (all_1789_3_1976 = 0) | all_1789_0_1973 = all_1789_1_1974
% 63.36/22.58 |
% 63.36/22.58 +-Applying beta-rule and splitting (2017), into two cases.
% 63.36/22.58 |-Branch one:
% 63.36/22.58 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.58 |
% 63.36/22.58 | From (143) and (334) follows:
% 63.36/22.58 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.58 |
% 63.36/22.58 | Using (136) and (335) yields:
% 63.36/22.58 | (276) $false
% 63.36/22.58 |
% 63.36/22.58 |-The branch is then unsatisfiable
% 63.36/22.58 |-Branch two:
% 63.36/22.58 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.58 | (2583) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v3 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.58 |
% 63.36/22.58 | Instantiating (2583) with all_1794_0_1977, all_1794_1_1978, all_1794_2_1979, all_1794_3_1980 yields:
% 63.36/22.58 | (6921) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1794_0_1977 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1794_1_1978 & leq(n0, all_0_7_7) = all_1794_2_1979 & leq(n0, n1) = all_1794_3_1980 & ( ~ (all_1794_2_1979 = 0) | ~ (all_1794_3_1980 = 0) | all_1794_0_1977 = all_1794_1_1978)
% 63.36/22.58 |
% 63.36/22.58 | Applying alpha-rule on (6921) yields:
% 63.36/22.58 | (6922) ~ (all_1794_2_1979 = 0) | ~ (all_1794_3_1980 = 0) | all_1794_0_1977 = all_1794_1_1978
% 63.36/22.58 | (6923) leq(n0, n1) = all_1794_3_1980
% 63.36/22.59 | (6924) leq(n0, all_0_7_7) = all_1794_2_1979
% 63.36/22.59 | (6925) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1794_0_1977
% 63.36/22.59 | (6926) a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1794_1_1978
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (337) follows:
% 63.36/22.59 | (136) leq(n1, n5) = 0
% 63.36/22.59 |
% 63.36/22.59 +-Applying beta-rule and splitting (2023), into two cases.
% 63.36/22.59 |-Branch one:
% 63.36/22.59 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (334) follows:
% 63.36/22.59 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.59 |
% 63.36/22.59 | Using (136) and (335) yields:
% 63.36/22.59 | (276) $false
% 63.36/22.59 |
% 63.36/22.59 |-The branch is then unsatisfiable
% 63.36/22.59 |-Branch two:
% 63.36/22.59 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.59 | (2595) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v2 & a_select3(q_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.59 |
% 63.36/22.59 | Instantiating (2595) with all_1799_0_1981, all_1799_1_1982, all_1799_2_1983, all_1799_3_1984 yields:
% 63.36/22.59 | (6933) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1799_1_1982 & a_select3(q_ds1_filter, n1, all_0_7_7) = all_1799_0_1981 & leq(n0, all_0_7_7) = all_1799_3_1984 & leq(n0, n1) = all_1799_2_1983 & ( ~ (all_1799_2_1983 = 0) | ~ (all_1799_3_1984 = 0) | all_1799_0_1981 = all_1799_1_1982)
% 63.36/22.59 |
% 63.36/22.59 | Applying alpha-rule on (6933) yields:
% 63.36/22.59 | (6934) leq(n0, all_0_7_7) = all_1799_3_1984
% 63.36/22.59 | (6935) ~ (all_1799_2_1983 = 0) | ~ (all_1799_3_1984 = 0) | all_1799_0_1981 = all_1799_1_1982
% 63.36/22.59 | (6936) a_select3(q_ds1_filter, n1, all_0_7_7) = all_1799_0_1981
% 63.36/22.59 | (6937) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1799_1_1982
% 63.36/22.59 | (6938) leq(n0, n1) = all_1799_2_1983
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (337) follows:
% 63.36/22.59 | (136) leq(n1, n5) = 0
% 63.36/22.59 |
% 63.36/22.59 +-Applying beta-rule and splitting (2029), into two cases.
% 63.36/22.59 |-Branch one:
% 63.36/22.59 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (334) follows:
% 63.36/22.59 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.59 |
% 63.36/22.59 | Using (136) and (335) yields:
% 63.36/22.59 | (276) $false
% 63.36/22.59 |
% 63.36/22.59 |-The branch is then unsatisfiable
% 63.36/22.59 |-Branch two:
% 63.36/22.59 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.59 | (2607) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n1) = v2 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.59 |
% 63.36/22.59 | Instantiating (2607) with all_1804_0_1985, all_1804_1_1986, all_1804_2_1987, all_1804_3_1988 yields:
% 63.36/22.59 | (6945) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1804_1_1986 & a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1804_0_1985 & leq(n0, all_0_7_7) = all_1804_3_1988 & leq(n0, n1) = all_1804_2_1987 & ( ~ (all_1804_2_1987 = 0) | ~ (all_1804_3_1988 = 0) | all_1804_0_1985 = all_1804_1_1986)
% 63.36/22.59 |
% 63.36/22.59 | Applying alpha-rule on (6945) yields:
% 63.36/22.59 | (6946) leq(n0, all_0_7_7) = all_1804_3_1988
% 63.36/22.59 | (6947) a_select3(pminus_ds1_filter, all_0_7_7, n1) = all_1804_1_1986
% 63.36/22.59 | (6948) leq(n0, n1) = all_1804_2_1987
% 63.36/22.59 | (6949) ~ (all_1804_2_1987 = 0) | ~ (all_1804_3_1988 = 0) | all_1804_0_1985 = all_1804_1_1986
% 63.36/22.59 | (6950) a_select3(pminus_ds1_filter, n1, all_0_7_7) = all_1804_0_1985
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (337) follows:
% 63.36/22.59 | (136) leq(n1, n5) = 0
% 63.36/22.59 |
% 63.36/22.59 +-Applying beta-rule and splitting (2035), into two cases.
% 63.36/22.59 |-Branch one:
% 63.36/22.59 | (334) ~ (leq(n1, all_0_9_9) = 0)
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (334) follows:
% 63.36/22.59 | (335) ~ (leq(n1, n5) = 0)
% 63.36/22.59 |
% 63.36/22.59 | Using (136) and (335) yields:
% 63.36/22.59 | (276) $false
% 63.36/22.59 |
% 63.36/22.59 |-The branch is then unsatisfiable
% 63.36/22.59 |-Branch two:
% 63.36/22.59 | (337) leq(n1, all_0_9_9) = 0
% 63.36/22.59 | (2619) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n1) = v3 & a_select3(q_ds1_filter, n1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.59 |
% 63.36/22.59 | Instantiating (2619) with all_1809_0_1989, all_1809_1_1990, all_1809_2_1991, all_1809_3_1992 yields:
% 63.36/22.59 | (6957) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1809_0_1989 & a_select3(q_ds1_filter, n1, all_0_7_7) = all_1809_1_1990 & leq(n0, all_0_7_7) = all_1809_2_1991 & leq(n0, n1) = all_1809_3_1992 & ( ~ (all_1809_2_1991 = 0) | ~ (all_1809_3_1992 = 0) | all_1809_0_1989 = all_1809_1_1990)
% 63.36/22.59 |
% 63.36/22.59 | Applying alpha-rule on (6957) yields:
% 63.36/22.59 | (6958) leq(n0, n1) = all_1809_3_1992
% 63.36/22.59 | (6959) ~ (all_1809_2_1991 = 0) | ~ (all_1809_3_1992 = 0) | all_1809_0_1989 = all_1809_1_1990
% 63.36/22.59 | (6960) leq(n0, all_0_7_7) = all_1809_2_1991
% 63.36/22.59 | (6961) a_select3(q_ds1_filter, n1, all_0_7_7) = all_1809_1_1990
% 63.36/22.59 | (6962) a_select3(q_ds1_filter, all_0_7_7, n1) = all_1809_0_1989
% 63.36/22.59 |
% 63.36/22.59 +-Applying beta-rule and splitting (2041), into two cases.
% 63.36/22.59 |-Branch one:
% 63.36/22.59 | (346) ~ (leq(tptp_minus_1, all_0_9_9) = 0)
% 63.36/22.59 |
% 63.36/22.59 | From (143) and (346) follows:
% 63.36/22.59 | (347) ~ (leq(tptp_minus_1, n5) = 0)
% 63.36/22.59 |
% 63.36/22.59 | Using (137) and (347) yields:
% 63.36/22.59 | (276) $false
% 63.36/22.59 |
% 63.36/22.59 |-The branch is then unsatisfiable
% 63.36/22.59 |-Branch two:
% 63.36/22.59 | (349) leq(tptp_minus_1, all_0_9_9) = 0
% 63.36/22.59 | (2630) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = v3 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.59 |
% 63.36/22.59 | Instantiating (2630) with all_1814_0_1993, all_1814_1_1994, all_1814_2_1995, all_1814_3_1996 yields:
% 63.36/22.59 | (6968) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1814_0_1993 & a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1814_1_1994 & leq(n0, all_0_7_7) = all_1814_2_1995 & leq(n0, tptp_minus_1) = all_1814_3_1996 & ( ~ (all_1814_2_1995 = 0) | ~ (all_1814_3_1996 = 0) | all_1814_0_1993 = all_1814_1_1994)
% 63.36/22.59 |
% 63.36/22.59 | Applying alpha-rule on (6968) yields:
% 63.36/22.60 | (6969) leq(n0, all_0_7_7) = all_1814_2_1995
% 63.36/22.60 | (6970) leq(n0, tptp_minus_1) = all_1814_3_1996
% 63.36/22.60 | (6971) a_select3(pminus_ds1_filter, all_0_7_7, tptp_minus_1) = all_1814_0_1993
% 63.36/22.60 | (6972) a_select3(pminus_ds1_filter, tptp_minus_1, all_0_7_7) = all_1814_1_1994
% 63.36/22.60 | (6973) ~ (all_1814_2_1995 = 0) | ~ (all_1814_3_1996 = 0) | all_1814_0_1993 = all_1814_1_1994
% 63.36/22.60 |
% 63.36/22.60 +-Applying beta-rule and splitting (2047), into two cases.
% 63.36/22.60 |-Branch one:
% 63.36/22.60 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.36/22.60 |
% 63.36/22.60 | From (143) and (358) follows:
% 63.36/22.60 | (359) ~ (leq(n0, n5) = 0)
% 63.36/22.60 |
% 63.36/22.60 | Using (138) and (359) yields:
% 63.36/22.60 | (276) $false
% 63.36/22.60 |
% 63.36/22.60 |-The branch is then unsatisfiable
% 63.36/22.60 |-Branch two:
% 63.36/22.60 | (361) leq(n0, all_0_9_9) = 0
% 63.36/22.60 | (2641) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = v3 & leq(n0, all_0_7_7) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.60 |
% 63.36/22.60 | Instantiating (2641) with all_1819_0_1997, all_1819_1_1998, all_1819_2_1999, all_1819_3_2000 yields:
% 63.36/22.60 | (6979) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1819_1_1998 & a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1819_0_1997 & leq(n0, all_0_7_7) = all_1819_3_2000 & leq(n0, n0) = all_1819_2_1999 & ( ~ (all_1819_2_1999 = 0) | ~ (all_1819_3_2000 = 0) | all_1819_0_1997 = all_1819_1_1998)
% 63.36/22.60 |
% 63.36/22.60 | Applying alpha-rule on (6979) yields:
% 63.36/22.60 | (6980) a_select3(pminus_ds1_filter, all_0_7_7, n0) = all_1819_1_1998
% 63.36/22.60 | (6981) ~ (all_1819_2_1999 = 0) | ~ (all_1819_3_2000 = 0) | all_1819_0_1997 = all_1819_1_1998
% 63.36/22.60 | (6982) leq(n0, n0) = all_1819_2_1999
% 63.36/22.60 | (6983) a_select3(pminus_ds1_filter, n0, all_0_7_7) = all_1819_0_1997
% 63.36/22.60 | (6984) leq(n0, all_0_7_7) = all_1819_3_2000
% 63.36/22.60 |
% 63.36/22.60 | From (143) and (361) follows:
% 63.36/22.60 | (138) leq(n0, n5) = 0
% 63.36/22.60 |
% 63.36/22.60 +-Applying beta-rule and splitting (2053), into two cases.
% 63.36/22.60 |-Branch one:
% 63.36/22.60 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.36/22.60 |
% 63.36/22.60 | From (143) and (358) follows:
% 63.36/22.60 | (359) ~ (leq(n0, n5) = 0)
% 63.36/22.60 |
% 63.36/22.60 | Using (138) and (359) yields:
% 63.36/22.60 | (276) $false
% 63.36/22.60 |
% 63.36/22.60 |-The branch is then unsatisfiable
% 63.36/22.60 |-Branch two:
% 63.36/22.60 | (361) leq(n0, all_0_9_9) = 0
% 63.36/22.60 | (2653) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(q_ds1_filter, all_0_7_7, n0) = v3 & a_select3(q_ds1_filter, n0, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.36/22.60 |
% 63.36/22.60 | Instantiating (2653) with all_1824_0_2001, all_1824_1_2002, all_1824_2_2003, all_1824_3_2004 yields:
% 63.36/22.60 | (6991) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1824_0_2001 & a_select3(q_ds1_filter, n0, all_0_7_7) = all_1824_1_2002 & leq(n0, all_0_7_7) = all_1824_2_2003 & leq(n0, n0) = all_1824_3_2004 & ( ~ (all_1824_2_2003 = 0) | ~ (all_1824_3_2004 = 0) | all_1824_0_2001 = all_1824_1_2002)
% 63.36/22.60 |
% 63.36/22.60 | Applying alpha-rule on (6991) yields:
% 63.36/22.60 | (6992) a_select3(q_ds1_filter, n0, all_0_7_7) = all_1824_1_2002
% 63.36/22.60 | (6993) leq(n0, n0) = all_1824_3_2004
% 63.36/22.60 | (6994) ~ (all_1824_2_2003 = 0) | ~ (all_1824_3_2004 = 0) | all_1824_0_2001 = all_1824_1_2002
% 63.36/22.60 | (6995) a_select3(q_ds1_filter, all_0_7_7, n0) = all_1824_0_2001
% 63.36/22.60 | (6996) leq(n0, all_0_7_7) = all_1824_2_2003
% 63.36/22.60 |
% 63.36/22.60 | From (143) and (361) follows:
% 63.36/22.60 | (138) leq(n0, n5) = 0
% 63.36/22.60 |
% 63.36/22.60 +-Applying beta-rule and splitting (6395), into two cases.
% 63.36/22.60 |-Branch one:
% 63.36/22.60 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.36/22.60 |
% 63.36/22.60 | From (143) and (1684) follows:
% 63.36/22.60 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.36/22.60 |
% 63.36/22.60 | Using (273) and (1685) yields:
% 63.36/22.60 | (276) $false
% 63.36/22.60 |
% 63.36/22.60 |-The branch is then unsatisfiable
% 63.36/22.60 |-Branch two:
% 63.36/22.60 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.36/22.60 | (7002) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = v2 & a_select3(pminus_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))
% 63.36/22.60 |
% 63.36/22.60 | Instantiating (7002) with all_1829_0_2005, all_1829_1_2006, all_1829_2_2007, all_1829_3_2008 yields:
% 63.36/22.60 | (7003) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1829_1_2006 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1829_0_2005 & leq(n0, all_0_6_6) = all_1829_3_2008 & leq(n0, all_0_7_7) = all_1829_2_2007 & ( ~ (all_1829_2_2007 = 0) | ~ (all_1829_3_2008 = 0) | all_1829_0_2005 = all_1829_1_2006)
% 63.36/22.60 |
% 63.36/22.60 | Applying alpha-rule on (7003) yields:
% 63.36/22.60 | (7004) ~ (all_1829_2_2007 = 0) | ~ (all_1829_3_2008 = 0) | all_1829_0_2005 = all_1829_1_2006
% 63.36/22.60 | (7005) leq(n0, all_0_7_7) = all_1829_2_2007
% 63.36/22.60 | (7006) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1829_1_2006
% 63.36/22.60 | (7007) leq(n0, all_0_6_6) = all_1829_3_2008
% 63.36/22.61 | (7008) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1829_0_2005
% 63.36/22.61 |
% 63.36/22.61 | From (143) and (270) follows:
% 63.36/22.61 | (273) leq(all_0_7_7, n5) = 0
% 63.36/22.61 |
% 63.36/22.61 +-Applying beta-rule and splitting (1676), into two cases.
% 63.36/22.61 |-Branch one:
% 63.36/22.61 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.36/22.61 |
% 63.36/22.61 | From (143) and (1684) follows:
% 63.36/22.61 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.36/22.61 |
% 63.36/22.61 | Using (273) and (1685) yields:
% 63.36/22.61 | (276) $false
% 63.36/22.61 |
% 63.36/22.61 |-The branch is then unsatisfiable
% 63.36/22.61 |-Branch two:
% 63.36/22.61 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.36/22.61 | (2863) ? [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))
% 63.36/22.61 |
% 63.36/22.61 | Instantiating (2863) with all_1834_0_2009, all_1834_1_2010, all_1834_2_2011, all_1834_3_2012 yields:
% 63.36/22.61 | (7015) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1834_0_2009 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1834_1_2010 & leq(n0, all_0_6_6) = all_1834_2_2011 & leq(n0, all_0_7_7) = all_1834_3_2012 & ( ~ (all_1834_2_2011 = 0) | ~ (all_1834_3_2012 = 0) | all_1834_0_2009 = all_1834_1_2010)
% 63.36/22.61 |
% 63.36/22.61 | Applying alpha-rule on (7015) yields:
% 63.36/22.61 | (7016) ~ (all_1834_2_2011 = 0) | ~ (all_1834_3_2012 = 0) | all_1834_0_2009 = all_1834_1_2010
% 63.42/22.61 | (7017) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_1834_1_2010
% 63.42/22.61 | (7018) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_1834_0_2009
% 63.42/22.61 | (7019) leq(n0, all_0_7_7) = all_1834_3_2012
% 63.42/22.61 | (7020) leq(n0, all_0_6_6) = all_1834_2_2011
% 63.42/22.61 |
% 63.42/22.61 | From (143) and (270) follows:
% 63.42/22.61 | (273) leq(all_0_7_7, n5) = 0
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1734_2_1931, all_1829_3_2008 and discharging atoms leq(n0, all_0_6_6) = all_1829_3_2008, leq(n0, all_0_6_6) = all_1734_2_1931, yields:
% 63.42/22.61 | (7022) all_1829_3_2008 = all_1734_2_1931
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1729_3_1928, all_1734_2_1931 and discharging atoms leq(n0, all_0_6_6) = all_1734_2_1931, leq(n0, all_0_6_6) = all_1729_3_1928, yields:
% 63.42/22.61 | (7023) all_1734_2_1931 = all_1729_3_1928
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1724_3_1924, all_1834_2_2011 and discharging atoms leq(n0, all_0_6_6) = all_1834_2_2011, leq(n0, all_0_6_6) = all_1724_3_1924, yields:
% 63.42/22.61 | (7024) all_1834_2_2011 = all_1724_3_1924
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1724_3_1924, all_1729_3_1928 and discharging atoms leq(n0, all_0_6_6) = all_1729_3_1928, leq(n0, all_0_6_6) = all_1724_3_1924, yields:
% 63.42/22.61 | (7025) all_1729_3_1928 = all_1724_3_1924
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1714_3_1916, all_1719_2_1919 and discharging atoms leq(n0, all_0_6_6) = all_1719_2_1919, leq(n0, all_0_6_6) = all_1714_3_1916, yields:
% 63.42/22.61 | (7026) all_1719_2_1919 = all_1714_3_1916
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1709_2_1911, all_1714_3_1916 and discharging atoms leq(n0, all_0_6_6) = all_1714_3_1916, leq(n0, all_0_6_6) = all_1709_2_1911, yields:
% 63.42/22.61 | (7027) all_1714_3_1916 = all_1709_2_1911
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1663_3_1876, all_1709_2_1911 and discharging atoms leq(n0, all_0_6_6) = all_1709_2_1911, leq(n0, all_0_6_6) = all_1663_3_1876, yields:
% 63.42/22.61 | (7028) all_1709_2_1911 = all_1663_3_1876
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1658_2_1871, all_1663_3_1876 and discharging atoms leq(n0, all_0_6_6) = all_1663_3_1876, leq(n0, all_0_6_6) = all_1658_2_1871, yields:
% 63.42/22.61 | (7029) all_1663_3_1876 = all_1658_2_1871
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1648_3_1864, all_1834_2_2011 and discharging atoms leq(n0, all_0_6_6) = all_1834_2_2011, leq(n0, all_0_6_6) = all_1648_3_1864, yields:
% 63.42/22.61 | (7030) all_1834_2_2011 = all_1648_3_1864
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1643_3_1860, all_1658_2_1871 and discharging atoms leq(n0, all_0_6_6) = all_1658_2_1871, leq(n0, all_0_6_6) = all_1643_3_1860, yields:
% 63.42/22.61 | (7031) all_1658_2_1871 = all_1643_3_1860
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1638_2_1855, all_1643_3_1860 and discharging atoms leq(n0, all_0_6_6) = all_1643_3_1860, leq(n0, all_0_6_6) = all_1638_2_1855, yields:
% 63.42/22.61 | (7032) all_1643_3_1860 = all_1638_2_1855
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1633_2_1851, all_1653_2_1867 and discharging atoms leq(n0, all_0_6_6) = all_1653_2_1867, leq(n0, all_0_6_6) = all_1633_2_1851, yields:
% 63.42/22.61 | (7033) all_1653_2_1867 = all_1633_2_1851
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1633_2_1851, all_1638_2_1855 and discharging atoms leq(n0, all_0_6_6) = all_1638_2_1855, leq(n0, all_0_6_6) = all_1633_2_1851, yields:
% 63.42/22.61 | (7034) all_1638_2_1855 = all_1633_2_1851
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1628_3_1848, all_1719_2_1919 and discharging atoms leq(n0, all_0_6_6) = all_1719_2_1919, leq(n0, all_0_6_6) = all_1628_3_1848, yields:
% 63.42/22.61 | (7035) all_1719_2_1919 = all_1628_3_1848
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1623_3_1844, all_1829_3_2008 and discharging atoms leq(n0, all_0_6_6) = all_1829_3_2008, leq(n0, all_0_6_6) = all_1623_3_1844, yields:
% 63.42/22.61 | (7036) all_1829_3_2008 = all_1623_3_1844
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1613_3_1836, all_1724_3_1924 and discharging atoms leq(n0, all_0_6_6) = all_1724_3_1924, leq(n0, all_0_6_6) = all_1613_3_1836, yields:
% 63.42/22.61 | (7037) all_1724_3_1924 = all_1613_3_1836
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1608_2_1831, all_1633_2_1851 and discharging atoms leq(n0, all_0_6_6) = all_1633_2_1851, leq(n0, all_0_6_6) = all_1608_2_1831, yields:
% 63.42/22.61 | (7038) all_1633_2_1851 = all_1608_2_1831
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1603_3_1828, all_1608_2_1831 and discharging atoms leq(n0, all_0_6_6) = all_1608_2_1831, leq(n0, all_0_6_6) = all_1603_3_1828, yields:
% 63.42/22.61 | (7039) all_1608_2_1831 = all_1603_3_1828
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1598_2_1823, all_1618_2_1839 and discharging atoms leq(n0, all_0_6_6) = all_1618_2_1839, leq(n0, all_0_6_6) = all_1598_2_1823, yields:
% 63.42/22.61 | (7040) all_1618_2_1839 = all_1598_2_1823
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1593_3_1820, all_1613_3_1836 and discharging atoms leq(n0, all_0_6_6) = all_1613_3_1836, leq(n0, all_0_6_6) = all_1593_3_1820, yields:
% 63.42/22.61 | (7041) all_1613_3_1836 = all_1593_3_1820
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1593_3_1820, all_1603_3_1828 and discharging atoms leq(n0, all_0_6_6) = all_1603_3_1828, leq(n0, all_0_6_6) = all_1593_3_1820, yields:
% 63.42/22.61 | (7042) all_1603_3_1828 = all_1593_3_1820
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1588_2_1815, all_1653_2_1867 and discharging atoms leq(n0, all_0_6_6) = all_1653_2_1867, leq(n0, all_0_6_6) = all_1588_2_1815, yields:
% 63.42/22.61 | (7043) all_1653_2_1867 = all_1588_2_1815
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1583_2_1811, all_1603_3_1828 and discharging atoms leq(n0, all_0_6_6) = all_1603_3_1828, leq(n0, all_0_6_6) = all_1583_2_1811, yields:
% 63.42/22.61 | (7044) all_1603_3_1828 = all_1583_2_1811
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1578_3_1808, all_1583_2_1811 and discharging atoms leq(n0, all_0_6_6) = all_1583_2_1811, leq(n0, all_0_6_6) = all_1578_3_1808, yields:
% 63.42/22.61 | (7045) all_1583_2_1811 = all_1578_3_1808
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1376_2_1783, all_1598_2_1823 and discharging atoms leq(n0, all_0_6_6) = all_1598_2_1823, leq(n0, all_0_6_6) = all_1376_2_1783, yields:
% 63.42/22.61 | (7046) all_1598_2_1823 = all_1376_2_1783
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1376_2_1783, all_1578_3_1808 and discharging atoms leq(n0, all_0_6_6) = all_1578_3_1808, leq(n0, all_0_6_6) = all_1376_2_1783, yields:
% 63.42/22.61 | (7047) all_1578_3_1808 = all_1376_2_1783
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1376_3_1784, all_1834_2_2011 and discharging atoms leq(n0, all_0_6_6) = all_1834_2_2011, leq(n0, all_0_6_6) = all_1376_3_1784, yields:
% 63.42/22.61 | (7048) all_1834_2_2011 = all_1376_3_1784
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1371_2_1779, 0 and discharging atoms leq(n0, all_0_6_6) = all_1371_2_1779, leq(n0, all_0_6_6) = 0, yields:
% 63.42/22.61 | (7049) all_1371_2_1779 = 0
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1371_2_1779, all_1376_2_1783 and discharging atoms leq(n0, all_0_6_6) = all_1376_2_1783, leq(n0, all_0_6_6) = all_1371_2_1779, yields:
% 63.42/22.61 | (7050) all_1376_2_1783 = all_1371_2_1779
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_6_6, all_1371_3_1780, all_1618_2_1839 and discharging atoms leq(n0, all_0_6_6) = all_1618_2_1839, leq(n0, all_0_6_6) = all_1371_3_1780, yields:
% 63.42/22.61 | (7051) all_1618_2_1839 = all_1371_3_1780
% 63.42/22.61 |
% 63.42/22.61 | Instantiating formula (30) with n0, all_0_7_7, all_1824_2_2003, all_1834_3_2012 and discharging atoms leq(n0, all_0_7_7) = all_1834_3_2012, leq(n0, all_0_7_7) = all_1824_2_2003, yields:
% 63.42/22.62 | (7052) all_1834_3_2012 = all_1824_2_2003
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1819_3_2000, 0 and discharging atoms leq(n0, all_0_7_7) = all_1819_3_2000, leq(n0, all_0_7_7) = 0, yields:
% 63.42/22.62 | (7053) all_1819_3_2000 = 0
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1814_2_1995, all_1829_2_2007 and discharging atoms leq(n0, all_0_7_7) = all_1829_2_2007, leq(n0, all_0_7_7) = all_1814_2_1995, yields:
% 63.42/22.62 | (7054) all_1829_2_2007 = all_1814_2_1995
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1794_2_1979, all_1814_2_1995 and discharging atoms leq(n0, all_0_7_7) = all_1814_2_1995, leq(n0, all_0_7_7) = all_1794_2_1979, yields:
% 63.42/22.62 | (7055) all_1814_2_1995 = all_1794_2_1979
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1794_2_1979, all_1809_2_1991 and discharging atoms leq(n0, all_0_7_7) = all_1809_2_1991, leq(n0, all_0_7_7) = all_1794_2_1979, yields:
% 63.42/22.62 | (7056) all_1809_2_1991 = all_1794_2_1979
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1789_3_1976, all_1809_2_1991 and discharging atoms leq(n0, all_0_7_7) = all_1809_2_1991, leq(n0, all_0_7_7) = all_1789_3_1976, yields:
% 63.42/22.62 | (7057) all_1809_2_1991 = all_1789_3_1976
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1784_2_1971, all_1819_3_2000 and discharging atoms leq(n0, all_0_7_7) = all_1819_3_2000, leq(n0, all_0_7_7) = all_1784_2_1971, yields:
% 63.42/22.62 | (7058) all_1819_3_2000 = all_1784_2_1971
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1779_3_1968, all_1809_2_1991 and discharging atoms leq(n0, all_0_7_7) = all_1809_2_1991, leq(n0, all_0_7_7) = all_1779_3_1968, yields:
% 63.42/22.62 | (7059) all_1809_2_1991 = all_1779_3_1968
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1774_2_1963, all_1779_3_1968 and discharging atoms leq(n0, all_0_7_7) = all_1779_3_1968, leq(n0, all_0_7_7) = all_1774_2_1963, yields:
% 63.42/22.62 | (7060) all_1779_3_1968 = all_1774_2_1963
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1769_3_1960, all_1774_2_1963 and discharging atoms leq(n0, all_0_7_7) = all_1774_2_1963, leq(n0, all_0_7_7) = all_1769_3_1960, yields:
% 63.42/22.62 | (7061) all_1774_2_1963 = all_1769_3_1960
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1764_2_1955, all_1769_3_1960 and discharging atoms leq(n0, all_0_7_7) = all_1769_3_1960, leq(n0, all_0_7_7) = all_1764_2_1955, yields:
% 63.42/22.62 | (7062) all_1769_3_1960 = all_1764_2_1955
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1759_3_1952, all_1834_3_2012 and discharging atoms leq(n0, all_0_7_7) = all_1834_3_2012, leq(n0, all_0_7_7) = all_1759_3_1952, yields:
% 63.42/22.62 | (7063) all_1834_3_2012 = all_1759_3_1952
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1754_2_1947, all_1764_2_1955 and discharging atoms leq(n0, all_0_7_7) = all_1764_2_1955, leq(n0, all_0_7_7) = all_1754_2_1947, yields:
% 63.42/22.62 | (7064) all_1764_2_1955 = all_1754_2_1947
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1749_3_1944, all_1799_3_1984 and discharging atoms leq(n0, all_0_7_7) = all_1799_3_1984, leq(n0, all_0_7_7) = all_1749_3_1944, yields:
% 63.42/22.62 | (7065) all_1799_3_1984 = all_1749_3_1944
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1744_3_1940, all_1804_3_1988 and discharging atoms leq(n0, all_0_7_7) = all_1804_3_1988, leq(n0, all_0_7_7) = all_1744_3_1940, yields:
% 63.42/22.62 | (7066) all_1804_3_1988 = all_1744_3_1940
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1739_2_1935, all_1754_2_1947 and discharging atoms leq(n0, all_0_7_7) = all_1754_2_1947, leq(n0, all_0_7_7) = all_1739_2_1935, yields:
% 63.42/22.62 | (7067) all_1754_2_1947 = all_1739_2_1935
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1703_2_1907, all_1739_2_1935 and discharging atoms leq(n0, all_0_7_7) = all_1739_2_1935, leq(n0, all_0_7_7) = all_1703_2_1907, yields:
% 63.42/22.62 | (7068) all_1739_2_1935 = all_1703_2_1907
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1698_2_1903, all_1703_2_1907 and discharging atoms leq(n0, all_0_7_7) = all_1703_2_1907, leq(n0, all_0_7_7) = all_1698_2_1903, yields:
% 63.42/22.62 | (7069) all_1703_2_1907 = all_1698_2_1903
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1693_3_1900, all_1784_2_1971 and discharging atoms leq(n0, all_0_7_7) = all_1784_2_1971, leq(n0, all_0_7_7) = all_1693_3_1900, yields:
% 63.42/22.62 | (7070) all_1784_2_1971 = all_1693_3_1900
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1693_3_1900, all_1759_3_1952 and discharging atoms leq(n0, all_0_7_7) = all_1759_3_1952, leq(n0, all_0_7_7) = all_1693_3_1900, yields:
% 63.42/22.62 | (7071) all_1759_3_1952 = all_1693_3_1900
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1693_3_1900, all_1749_3_1944 and discharging atoms leq(n0, all_0_7_7) = all_1749_3_1944, leq(n0, all_0_7_7) = all_1693_3_1900, yields:
% 63.42/22.62 | (7072) all_1749_3_1944 = all_1693_3_1900
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1693_3_1900, all_1698_2_1903 and discharging atoms leq(n0, all_0_7_7) = all_1698_2_1903, leq(n0, all_0_7_7) = all_1693_3_1900, yields:
% 63.42/22.62 | (7073) all_1698_2_1903 = all_1693_3_1900
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1688_3_1896, all_1804_3_1988 and discharging atoms leq(n0, all_0_7_7) = all_1804_3_1988, leq(n0, all_0_7_7) = all_1688_3_1896, yields:
% 63.42/22.62 | (7074) all_1804_3_1988 = all_1688_3_1896
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1683_2_1891, all_1829_2_2007 and discharging atoms leq(n0, all_0_7_7) = all_1829_2_2007, leq(n0, all_0_7_7) = all_1683_2_1891, yields:
% 63.42/22.62 | (7075) all_1829_2_2007 = all_1683_2_1891
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1678_3_1888, all_1834_3_2012 and discharging atoms leq(n0, all_0_7_7) = all_1834_3_2012, leq(n0, all_0_7_7) = all_1678_3_1888, yields:
% 63.42/22.62 | (7076) all_1834_3_2012 = all_1678_3_1888
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1673_2_1883, all_1744_3_1940 and discharging atoms leq(n0, all_0_7_7) = all_1744_3_1940, leq(n0, all_0_7_7) = all_1673_2_1883, yields:
% 63.42/22.62 | (7077) all_1744_3_1940 = all_1673_2_1883
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1668_3_1880, all_1673_2_1883 and discharging atoms leq(n0, all_0_7_7) = all_1673_2_1883, leq(n0, all_0_7_7) = all_1668_3_1880, yields:
% 63.42/22.62 | (7078) all_1673_2_1883 = all_1668_3_1880
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1288_2_1775, all_1668_3_1880 and discharging atoms leq(n0, all_0_7_7) = all_1668_3_1880, leq(n0, all_0_7_7) = all_1288_2_1775, yields:
% 63.42/22.62 | (7079) all_1668_3_1880 = all_1288_2_1775
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1288_3_1776, all_1799_3_1984 and discharging atoms leq(n0, all_0_7_7) = all_1799_3_1984, leq(n0, all_0_7_7) = all_1288_3_1776, yields:
% 63.42/22.62 | (7080) all_1799_3_1984 = all_1288_3_1776
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1283_2_1771, all_1749_3_1944 and discharging atoms leq(n0, all_0_7_7) = all_1749_3_1944, leq(n0, all_0_7_7) = all_1283_2_1771, yields:
% 63.42/22.62 | (7081) all_1749_3_1944 = all_1283_2_1771
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1283_2_1771, all_1288_2_1775 and discharging atoms leq(n0, all_0_7_7) = all_1288_2_1775, leq(n0, all_0_7_7) = all_1283_2_1771, yields:
% 63.42/22.62 | (7082) all_1288_2_1775 = all_1283_2_1771
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, all_0_7_7, all_1283_3_1772, all_1744_3_1940 and discharging atoms leq(n0, all_0_7_7) = all_1744_3_1940, leq(n0, all_0_7_7) = all_1283_3_1772, yields:
% 63.42/22.62 | (7083) all_1744_3_1940 = all_1283_3_1772
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1749_2_1943, all_1754_3_1948 and discharging atoms leq(n0, n5) = all_1754_3_1948, leq(n0, n5) = all_1749_2_1943, yields:
% 63.42/22.62 | (7084) all_1754_3_1948 = all_1749_2_1943
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1739_3_1936, all_1749_2_1943 and discharging atoms leq(n0, n5) = all_1749_2_1943, leq(n0, n5) = all_1739_3_1936, yields:
% 63.42/22.62 | (7085) all_1749_2_1943 = all_1739_3_1936
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1739_3_1936, all_1744_2_1939 and discharging atoms leq(n0, n5) = all_1744_2_1939, leq(n0, n5) = all_1739_3_1936, yields:
% 63.42/22.62 | (7086) all_1744_2_1939 = all_1739_3_1936
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1593_2_1819, 0 and discharging atoms leq(n0, n5) = all_1593_2_1819, leq(n0, n5) = 0, yields:
% 63.42/22.62 | (7087) all_1593_2_1819 = 0
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1588_3_1816, all_1744_2_1939 and discharging atoms leq(n0, n5) = all_1744_2_1939, leq(n0, n5) = all_1588_3_1816, yields:
% 63.42/22.62 | (7088) all_1744_2_1939 = all_1588_3_1816
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1583_3_1812, all_1739_3_1936 and discharging atoms leq(n0, n5) = all_1739_3_1936, leq(n0, n5) = all_1583_3_1812, yields:
% 63.42/22.62 | (7089) all_1739_3_1936 = all_1583_3_1812
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1583_3_1812, all_1593_2_1819 and discharging atoms leq(n0, n5) = all_1593_2_1819, leq(n0, n5) = all_1583_3_1812, yields:
% 63.42/22.62 | (7090) all_1593_2_1819 = all_1583_3_1812
% 63.42/22.62 |
% 63.42/22.62 | Instantiating formula (30) with n0, n5, all_1578_2_1807, all_1754_3_1948 and discharging atoms leq(n0, n5) = all_1754_3_1948, leq(n0, n5) = all_1578_2_1807, yields:
% 63.42/22.62 | (7091) all_1754_3_1948 = all_1578_2_1807
% 63.42/22.62 |
% 63.42/22.62 | Combining equations (7024,7030) yields a new equation:
% 63.42/22.62 | (7092) all_1724_3_1924 = all_1648_3_1864
% 63.42/22.62 |
% 63.42/22.62 | Simplifying 7092 yields:
% 63.42/22.62 | (7093) all_1724_3_1924 = all_1648_3_1864
% 63.42/22.62 |
% 63.42/22.62 | Combining equations (7048,7030) yields a new equation:
% 63.42/22.62 | (7094) all_1648_3_1864 = all_1376_3_1784
% 63.42/22.62 |
% 63.42/22.63 | Combining equations (7063,7052) yields a new equation:
% 63.42/22.63 | (7095) all_1824_2_2003 = all_1759_3_1952
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7076,7052) yields a new equation:
% 63.42/22.63 | (7096) all_1824_2_2003 = all_1678_3_1888
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7054,7075) yields a new equation:
% 63.42/22.63 | (7097) all_1814_2_1995 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7097 yields:
% 63.42/22.63 | (7098) all_1814_2_1995 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7022,7036) yields a new equation:
% 63.42/22.63 | (7099) all_1734_2_1931 = all_1623_3_1844
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7099 yields:
% 63.42/22.63 | (7100) all_1734_2_1931 = all_1623_3_1844
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7095,7096) yields a new equation:
% 63.42/22.63 | (7101) all_1759_3_1952 = all_1678_3_1888
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7101 yields:
% 63.42/22.63 | (7102) all_1759_3_1952 = all_1678_3_1888
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7058,7053) yields a new equation:
% 63.42/22.63 | (7103) all_1784_2_1971 = 0
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7103 yields:
% 63.42/22.63 | (7104) all_1784_2_1971 = 0
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7055,7098) yields a new equation:
% 63.42/22.63 | (7105) all_1794_2_1979 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7105 yields:
% 63.42/22.63 | (7106) all_1794_2_1979 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7056,7057) yields a new equation:
% 63.42/22.63 | (7107) all_1794_2_1979 = all_1789_3_1976
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7107 yields:
% 63.42/22.63 | (7108) all_1794_2_1979 = all_1789_3_1976
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7059,7057) yields a new equation:
% 63.42/22.63 | (7109) all_1789_3_1976 = all_1779_3_1968
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7066,7074) yields a new equation:
% 63.42/22.63 | (7110) all_1744_3_1940 = all_1688_3_1896
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7110 yields:
% 63.42/22.63 | (7111) all_1744_3_1940 = all_1688_3_1896
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7065,7080) yields a new equation:
% 63.42/22.63 | (7112) all_1749_3_1944 = all_1288_3_1776
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7112 yields:
% 63.42/22.63 | (7113) all_1749_3_1944 = all_1288_3_1776
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7108,7106) yields a new equation:
% 63.42/22.63 | (7114) all_1789_3_1976 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7114 yields:
% 63.42/22.63 | (7115) all_1789_3_1976 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7109,7115) yields a new equation:
% 63.42/22.63 | (7116) all_1779_3_1968 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7116 yields:
% 63.42/22.63 | (7117) all_1779_3_1968 = all_1683_2_1891
% 63.42/22.63 |
% 63.42/22.63 | Combining equations (7070,7104) yields a new equation:
% 63.42/22.63 | (7118) all_1693_3_1900 = 0
% 63.42/22.63 |
% 63.42/22.63 | Simplifying 7118 yields:
% 63.42/22.63 | (7119) all_1693_3_1900 = 0
% 63.42/22.63 |
% 63.42/22.64 | Combining equations (7060,7117) yields a new equation:
% 63.42/22.64 | (7120) all_1774_2_1963 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7120 yields:
% 63.42/22.64 | (7121) all_1774_2_1963 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7061,7121) yields a new equation:
% 63.42/22.64 | (7122) all_1769_3_1960 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7122 yields:
% 63.42/22.64 | (7123) all_1769_3_1960 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7062,7123) yields a new equation:
% 63.42/22.64 | (7124) all_1764_2_1955 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7124 yields:
% 63.42/22.64 | (7125) all_1764_2_1955 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7064,7125) yields a new equation:
% 63.42/22.64 | (7126) all_1754_2_1947 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7126 yields:
% 63.42/22.64 | (7127) all_1754_2_1947 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7071,7102) yields a new equation:
% 63.42/22.64 | (7128) all_1693_3_1900 = all_1678_3_1888
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7128 yields:
% 63.42/22.64 | (7129) all_1693_3_1900 = all_1678_3_1888
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7067,7127) yields a new equation:
% 63.42/22.64 | (7130) all_1739_2_1935 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7130 yields:
% 63.42/22.64 | (7131) all_1739_2_1935 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7084,7091) yields a new equation:
% 63.42/22.64 | (7132) all_1749_2_1943 = all_1578_2_1807
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7132 yields:
% 63.42/22.64 | (7133) all_1749_2_1943 = all_1578_2_1807
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7085,7133) yields a new equation:
% 63.42/22.64 | (7134) all_1739_3_1936 = all_1578_2_1807
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7134 yields:
% 63.42/22.64 | (7135) all_1739_3_1936 = all_1578_2_1807
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7072,7113) yields a new equation:
% 63.42/22.64 | (7136) all_1693_3_1900 = all_1288_3_1776
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7136 yields:
% 63.42/22.64 | (7137) all_1693_3_1900 = all_1288_3_1776
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7081,7113) yields a new equation:
% 63.42/22.64 | (7138) all_1288_3_1776 = all_1283_2_1771
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7086,7088) yields a new equation:
% 63.42/22.64 | (7139) all_1739_3_1936 = all_1588_3_1816
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7139 yields:
% 63.42/22.64 | (7140) all_1739_3_1936 = all_1588_3_1816
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7077,7111) yields a new equation:
% 63.42/22.64 | (7141) all_1688_3_1896 = all_1673_2_1883
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7083,7111) yields a new equation:
% 63.42/22.64 | (7142) all_1688_3_1896 = all_1283_3_1772
% 63.42/22.64 |
% 63.42/22.64 | Combining equations (7068,7131) yields a new equation:
% 63.42/22.64 | (7143) all_1703_2_1907 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.64 | Simplifying 7143 yields:
% 63.42/22.64 | (7144) all_1703_2_1907 = all_1683_2_1891
% 63.42/22.64 |
% 63.42/22.65 | Combining equations (7089,7140) yields a new equation:
% 63.42/22.65 | (7145) all_1588_3_1816 = all_1583_3_1812
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7135,7140) yields a new equation:
% 63.42/22.65 | (7146) all_1588_3_1816 = all_1578_2_1807
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7023,7100) yields a new equation:
% 63.42/22.65 | (7147) all_1729_3_1928 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7147 yields:
% 63.42/22.65 | (7148) all_1729_3_1928 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7025,7148) yields a new equation:
% 63.42/22.65 | (7149) all_1724_3_1924 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7149 yields:
% 63.42/22.65 | (7150) all_1724_3_1924 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7037,7150) yields a new equation:
% 63.42/22.65 | (7151) all_1623_3_1844 = all_1613_3_1836
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7093,7150) yields a new equation:
% 63.42/22.65 | (7152) all_1648_3_1864 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7152 yields:
% 63.42/22.65 | (7153) all_1648_3_1864 = all_1623_3_1844
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7026,7035) yields a new equation:
% 63.42/22.65 | (7154) all_1714_3_1916 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7154 yields:
% 63.42/22.65 | (7155) all_1714_3_1916 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7027,7155) yields a new equation:
% 63.42/22.65 | (7156) all_1709_2_1911 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7156 yields:
% 63.42/22.65 | (7157) all_1709_2_1911 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7028,7157) yields a new equation:
% 63.42/22.65 | (7158) all_1663_3_1876 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7158 yields:
% 63.42/22.65 | (7159) all_1663_3_1876 = all_1628_3_1848
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7069,7144) yields a new equation:
% 63.42/22.65 | (7160) all_1698_2_1903 = all_1683_2_1891
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7160 yields:
% 63.42/22.65 | (7161) all_1698_2_1903 = all_1683_2_1891
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7073,7161) yields a new equation:
% 63.42/22.65 | (7162) all_1693_3_1900 = all_1683_2_1891
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7162 yields:
% 63.42/22.65 | (7163) all_1693_3_1900 = all_1683_2_1891
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7137,7163) yields a new equation:
% 63.42/22.65 | (7164) all_1683_2_1891 = all_1288_3_1776
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7119,7163) yields a new equation:
% 63.42/22.65 | (7165) all_1683_2_1891 = 0
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7129,7163) yields a new equation:
% 63.42/22.65 | (7166) all_1683_2_1891 = all_1678_3_1888
% 63.42/22.65 |
% 63.42/22.65 | Combining equations (7141,7142) yields a new equation:
% 63.42/22.65 | (7167) all_1673_2_1883 = all_1283_3_1772
% 63.42/22.65 |
% 63.42/22.65 | Simplifying 7167 yields:
% 63.42/22.65 | (7168) all_1673_2_1883 = all_1283_3_1772
% 63.42/22.65 |
% 63.42/22.66 | Combining equations (7164,7166) yields a new equation:
% 63.42/22.66 | (7169) all_1678_3_1888 = all_1288_3_1776
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7165,7166) yields a new equation:
% 63.42/22.66 | (7170) all_1678_3_1888 = 0
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7169,7170) yields a new equation:
% 63.42/22.66 | (7171) all_1288_3_1776 = 0
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7171 yields:
% 63.42/22.66 | (7172) all_1288_3_1776 = 0
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7078,7168) yields a new equation:
% 63.42/22.66 | (7173) all_1668_3_1880 = all_1283_3_1772
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7173 yields:
% 63.42/22.66 | (7174) all_1668_3_1880 = all_1283_3_1772
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7079,7174) yields a new equation:
% 63.42/22.66 | (7175) all_1288_2_1775 = all_1283_3_1772
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7175 yields:
% 63.42/22.66 | (7176) all_1288_2_1775 = all_1283_3_1772
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7029,7159) yields a new equation:
% 63.42/22.66 | (7177) all_1658_2_1871 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7177 yields:
% 63.42/22.66 | (7178) all_1658_2_1871 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7031,7178) yields a new equation:
% 63.42/22.66 | (7179) all_1643_3_1860 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7179 yields:
% 63.42/22.66 | (7180) all_1643_3_1860 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7033,7043) yields a new equation:
% 63.42/22.66 | (7181) all_1633_2_1851 = all_1588_2_1815
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7181 yields:
% 63.42/22.66 | (7182) all_1633_2_1851 = all_1588_2_1815
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7153,7094) yields a new equation:
% 63.42/22.66 | (7183) all_1623_3_1844 = all_1376_3_1784
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7183 yields:
% 63.42/22.66 | (7184) all_1623_3_1844 = all_1376_3_1784
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7032,7180) yields a new equation:
% 63.42/22.66 | (7185) all_1638_2_1855 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7185 yields:
% 63.42/22.66 | (7186) all_1638_2_1855 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7034,7186) yields a new equation:
% 63.42/22.66 | (7187) all_1633_2_1851 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Simplifying 7187 yields:
% 63.42/22.66 | (7188) all_1633_2_1851 = all_1628_3_1848
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7038,7188) yields a new equation:
% 63.42/22.66 | (7189) all_1628_3_1848 = all_1608_2_1831
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7182,7188) yields a new equation:
% 63.42/22.66 | (7190) all_1628_3_1848 = all_1588_2_1815
% 63.42/22.66 |
% 63.42/22.66 | Combining equations (7189,7190) yields a new equation:
% 63.42/22.66 | (7191) all_1608_2_1831 = all_1588_2_1815
% 63.42/22.66 |
% 63.48/22.66 | Simplifying 7191 yields:
% 63.48/22.66 | (7192) all_1608_2_1831 = all_1588_2_1815
% 63.48/22.66 |
% 63.48/22.66 | Combining equations (7151,7184) yields a new equation:
% 63.48/22.66 | (7193) all_1613_3_1836 = all_1376_3_1784
% 63.48/22.66 |
% 63.48/22.67 | Simplifying 7193 yields:
% 63.48/22.67 | (7194) all_1613_3_1836 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7040,7051) yields a new equation:
% 63.48/22.67 | (7195) all_1598_2_1823 = all_1371_3_1780
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7195 yields:
% 63.48/22.67 | (7196) all_1598_2_1823 = all_1371_3_1780
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7041,7194) yields a new equation:
% 63.48/22.67 | (7197) all_1593_3_1820 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7197 yields:
% 63.48/22.67 | (7198) all_1593_3_1820 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7039,7192) yields a new equation:
% 63.48/22.67 | (7199) all_1603_3_1828 = all_1588_2_1815
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7199 yields:
% 63.48/22.67 | (7200) all_1603_3_1828 = all_1588_2_1815
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7044,7200) yields a new equation:
% 63.48/22.67 | (7201) all_1588_2_1815 = all_1583_2_1811
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7042,7200) yields a new equation:
% 63.48/22.67 | (7202) all_1593_3_1820 = all_1588_2_1815
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7202 yields:
% 63.48/22.67 | (7203) all_1593_3_1820 = all_1588_2_1815
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7046,7196) yields a new equation:
% 63.48/22.67 | (7204) all_1376_2_1783 = all_1371_3_1780
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7204 yields:
% 63.48/22.67 | (7205) all_1376_2_1783 = all_1371_3_1780
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7090,7087) yields a new equation:
% 63.48/22.67 | (7206) all_1583_3_1812 = 0
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7206 yields:
% 63.48/22.67 | (7207) all_1583_3_1812 = 0
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7203,7198) yields a new equation:
% 63.48/22.67 | (7208) all_1588_2_1815 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7208 yields:
% 63.48/22.67 | (7209) all_1588_2_1815 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7201,7209) yields a new equation:
% 63.48/22.67 | (7210) all_1583_2_1811 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7210 yields:
% 63.48/22.67 | (7211) all_1583_2_1811 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7145,7146) yields a new equation:
% 63.48/22.67 | (7212) all_1583_3_1812 = all_1578_2_1807
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7212 yields:
% 63.48/22.67 | (7213) all_1583_3_1812 = all_1578_2_1807
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7045,7211) yields a new equation:
% 63.48/22.67 | (7214) all_1578_3_1808 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7214 yields:
% 63.48/22.67 | (7215) all_1578_3_1808 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7213,7207) yields a new equation:
% 63.48/22.67 | (7216) all_1578_2_1807 = 0
% 63.48/22.67 |
% 63.48/22.67 | Simplifying 7216 yields:
% 63.48/22.67 | (7217) all_1578_2_1807 = 0
% 63.48/22.67 |
% 63.48/22.67 | Combining equations (7047,7215) yields a new equation:
% 63.48/22.67 | (7218) all_1376_2_1783 = all_1376_3_1784
% 63.48/22.67 |
% 63.48/22.68 | Simplifying 7218 yields:
% 63.48/22.68 | (7219) all_1376_2_1783 = all_1376_3_1784
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7050,7219) yields a new equation:
% 63.48/22.68 | (7220) all_1376_3_1784 = all_1371_2_1779
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7205,7219) yields a new equation:
% 63.48/22.68 | (7221) all_1376_3_1784 = all_1371_3_1780
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7220,7221) yields a new equation:
% 63.48/22.68 | (7222) all_1371_2_1779 = all_1371_3_1780
% 63.48/22.68 |
% 63.48/22.68 | Simplifying 7222 yields:
% 63.48/22.68 | (7223) all_1371_2_1779 = all_1371_3_1780
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7049,7223) yields a new equation:
% 63.48/22.68 | (7224) all_1371_3_1780 = 0
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7082,7176) yields a new equation:
% 63.48/22.68 | (7225) all_1283_2_1771 = all_1283_3_1772
% 63.48/22.68 |
% 63.48/22.68 | Simplifying 7225 yields:
% 63.48/22.68 | (7226) all_1283_2_1771 = all_1283_3_1772
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7138,7172) yields a new equation:
% 63.48/22.68 | (7227) all_1283_2_1771 = 0
% 63.48/22.68 |
% 63.48/22.68 | Simplifying 7227 yields:
% 63.48/22.68 | (7228) all_1283_2_1771 = 0
% 63.48/22.68 |
% 63.48/22.68 | Combining equations (7228,7226) yields a new equation:
% 63.48/22.68 | (7229) all_1283_3_1772 = 0
% 63.48/22.68 |
% 63.48/22.68 | From (7224) and (6193) follows:
% 63.48/22.68 | (264) leq(n0, all_0_6_6) = 0
% 63.48/22.68 |
% 63.48/22.68 | From (7229) and (6013) follows:
% 63.48/22.68 | (271) leq(n0, all_0_7_7) = 0
% 63.48/22.68 |
% 63.48/22.68 | From (7217) and (6412) follows:
% 63.48/22.68 | (138) leq(n0, n5) = 0
% 63.48/22.68 |
% 63.48/22.68 +-Applying beta-rule and splitting (1892), into two cases.
% 63.48/22.68 |-Branch one:
% 63.48/22.68 | (358) ~ (leq(n0, all_0_9_9) = 0)
% 63.48/22.68 |
% 63.48/22.68 | From (143) and (358) follows:
% 63.48/22.68 | (359) ~ (leq(n0, n5) = 0)
% 63.48/22.68 |
% 63.48/22.68 | Using (138) and (359) yields:
% 63.48/22.68 | (276) $false
% 63.48/22.68 |
% 63.48/22.68 |-The branch is then unsatisfiable
% 63.48/22.68 |-Branch two:
% 63.48/22.68 | (361) leq(n0, all_0_9_9) = 0
% 63.48/22.68 | (7237) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_6_6, n0) = v2 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = v3 & leq(n0, all_0_6_6) = v0 & leq(n0, n0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.48/22.68 |
% 63.48/22.68 | Instantiating (7237) with all_1852_0_2013, all_1852_1_2014, all_1852_2_2015, all_1852_3_2016 yields:
% 63.48/22.68 | (7238) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1852_1_2014 & a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1852_0_2013 & leq(n0, all_0_6_6) = all_1852_3_2016 & leq(n0, n0) = all_1852_2_2015 & ( ~ (all_1852_2_2015 = 0) | ~ (all_1852_3_2016 = 0) | all_1852_0_2013 = all_1852_1_2014)
% 63.48/22.68 |
% 63.48/22.68 | Applying alpha-rule on (7238) yields:
% 63.48/22.68 | (7239) leq(n0, n0) = all_1852_2_2015
% 63.48/22.68 | (7240) a_select3(pminus_ds1_filter, all_0_6_6, n0) = all_1852_1_2014
% 63.48/22.68 | (7241) a_select3(pminus_ds1_filter, n0, all_0_6_6) = all_1852_0_2013
% 63.48/22.68 | (7242) ~ (all_1852_2_2015 = 0) | ~ (all_1852_3_2016 = 0) | all_1852_0_2013 = all_1852_1_2014
% 63.48/22.68 | (7243) leq(n0, all_0_6_6) = all_1852_3_2016
% 63.48/22.68 |
% 63.48/22.68 +-Applying beta-rule and splitting (1963), into two cases.
% 63.48/22.68 |-Branch one:
% 63.48/22.68 | (298) ~ (leq(n4, all_0_9_9) = 0)
% 63.48/22.68 |
% 63.48/22.68 | From (143) and (298) follows:
% 63.48/22.68 | (299) ~ (leq(n4, n5) = 0)
% 63.48/22.68 |
% 63.48/22.68 | Using (133) and (299) yields:
% 63.48/22.68 | (276) $false
% 63.48/22.68 |
% 63.48/22.68 |-The branch is then unsatisfiable
% 63.48/22.68 |-Branch two:
% 63.48/22.68 | (301) leq(n4, all_0_9_9) = 0
% 63.48/22.68 | (7248) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (a_select3(pminus_ds1_filter, all_0_7_7, n4) = v3 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = v2 & leq(n0, all_0_7_7) = v1 & leq(n0, n4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2))
% 63.48/22.68 |
% 63.48/22.69 | Instantiating (7248) with all_1858_0_2017, all_1858_1_2018, all_1858_2_2019, all_1858_3_2020 yields:
% 63.48/22.69 | (7249) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1858_0_2017 & a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1858_1_2018 & leq(n0, all_0_7_7) = all_1858_2_2019 & leq(n0, n4) = all_1858_3_2020 & ( ~ (all_1858_2_2019 = 0) | ~ (all_1858_3_2020 = 0) | all_1858_0_2017 = all_1858_1_2018)
% 63.48/22.69 |
% 63.48/22.69 | Applying alpha-rule on (7249) yields:
% 63.48/22.69 | (7250) a_select3(pminus_ds1_filter, all_0_7_7, n4) = all_1858_0_2017
% 63.48/22.69 | (7251) a_select3(pminus_ds1_filter, n4, all_0_7_7) = all_1858_1_2018
% 63.48/22.69 | (7252) leq(n0, all_0_7_7) = all_1858_2_2019
% 63.48/22.69 | (7253) leq(n0, n4) = all_1858_3_2020
% 63.48/22.69 | (7254) ~ (all_1858_2_2019 = 0) | ~ (all_1858_3_2020 = 0) | all_1858_0_2017 = all_1858_1_2018
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (30) with n0, all_0_6_6, all_1852_3_2016, 0 and discharging atoms leq(n0, all_0_6_6) = all_1852_3_2016, leq(n0, all_0_6_6) = 0, yields:
% 63.48/22.69 | (7255) all_1852_3_2016 = 0
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (30) with n0, all_0_7_7, all_1858_2_2019, 0 and discharging atoms leq(n0, all_0_7_7) = all_1858_2_2019, leq(n0, all_0_7_7) = 0, yields:
% 63.48/22.69 | (7256) all_1858_2_2019 = 0
% 63.48/22.69 |
% 63.48/22.69 | From (7255) and (7243) follows:
% 63.48/22.69 | (264) leq(n0, all_0_6_6) = 0
% 63.48/22.69 |
% 63.48/22.69 | From (7256) and (7252) follows:
% 63.48/22.69 | (271) leq(n0, all_0_7_7) = 0
% 63.48/22.69 |
% 63.48/22.69 +-Applying beta-rule and splitting (5998), into two cases.
% 63.48/22.69 |-Branch one:
% 63.48/22.69 | (1672) ~ (leq(all_0_6_6, all_0_9_9) = 0)
% 63.48/22.69 |
% 63.48/22.69 | From (143) and (1672) follows:
% 63.48/22.69 | (1673) ~ (leq(all_0_6_6, n5) = 0)
% 63.48/22.69 |
% 63.48/22.69 | Using (272) and (1673) yields:
% 63.48/22.69 | (276) $false
% 63.48/22.69 |
% 63.48/22.69 |-The branch is then unsatisfiable
% 63.48/22.69 |-Branch two:
% 63.48/22.69 | (265) leq(all_0_6_6, all_0_9_9) = 0
% 63.48/22.69 | (7263) ~ (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))
% 63.48/22.69 |
% 63.48/22.69 +-Applying beta-rule and splitting (7263), into two cases.
% 63.48/22.69 |-Branch one:
% 63.48/22.69 | (1684) ~ (leq(all_0_7_7, all_0_9_9) = 0)
% 63.48/22.69 |
% 63.48/22.69 | From (143) and (1684) follows:
% 63.48/22.69 | (1685) ~ (leq(all_0_7_7, n5) = 0)
% 63.48/22.69 |
% 63.48/22.69 | Using (273) and (1685) yields:
% 63.48/22.69 | (276) $false
% 63.48/22.69 |
% 63.48/22.69 |-The branch is then unsatisfiable
% 63.48/22.69 |-Branch two:
% 63.48/22.69 | (270) leq(all_0_7_7, all_0_9_9) = 0
% 63.48/22.69 | (7268) ? [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))
% 63.48/22.69 |
% 63.48/22.69 | Instantiating (7268) with all_2072_0_2021, all_2072_1_2022, all_2072_2_2023, all_2072_3_2024 yields:
% 63.48/22.69 | (7269) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_2072_0_2021 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_2072_1_2022 & leq(n0, all_0_6_6) = all_2072_2_2023 & leq(n0, all_0_7_7) = all_2072_3_2024 & ( ~ (all_2072_2_2023 = 0) | ~ (all_2072_3_2024 = 0) | all_2072_0_2021 = all_2072_1_2022)
% 63.48/22.69 |
% 63.48/22.69 | Applying alpha-rule on (7269) yields:
% 63.48/22.69 | (7270) ~ (all_2072_2_2023 = 0) | ~ (all_2072_3_2024 = 0) | all_2072_0_2021 = all_2072_1_2022
% 63.48/22.69 | (7271) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_2072_1_2022
% 63.48/22.69 | (7272) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_2072_0_2021
% 63.48/22.69 | (7273) leq(n0, all_0_6_6) = all_2072_2_2023
% 63.48/22.69 | (7274) leq(n0, all_0_7_7) = all_2072_3_2024
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (126) with q_ds1_filter, all_0_6_6, all_0_7_7, all_2072_0_2021, all_0_0_0 and discharging atoms a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_2072_0_2021, a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 63.48/22.69 | (7275) all_2072_0_2021 = all_0_0_0
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (126) with q_ds1_filter, all_0_7_7, all_0_6_6, all_2072_1_2022, all_0_1_1 and discharging atoms a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_2072_1_2022, a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 63.48/22.69 | (7276) all_2072_1_2022 = all_0_1_1
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (30) with n0, all_0_6_6, all_2072_2_2023, 0 and discharging atoms leq(n0, all_0_6_6) = all_2072_2_2023, leq(n0, all_0_6_6) = 0, yields:
% 63.48/22.69 | (7277) all_2072_2_2023 = 0
% 63.48/22.69 |
% 63.48/22.69 | Instantiating formula (30) with n0, all_0_7_7, all_2072_3_2024, 0 and discharging atoms leq(n0, all_0_7_7) = all_2072_3_2024, leq(n0, all_0_7_7) = 0, yields:
% 63.48/22.69 | (7278) all_2072_3_2024 = 0
% 63.48/22.69 |
% 63.48/22.69 +-Applying beta-rule and splitting (7270), into two cases.
% 63.48/22.69 |-Branch one:
% 63.48/22.69 | (7279) ~ (all_2072_2_2023 = 0)
% 63.48/22.69 |
% 63.48/22.70 | Equations (7277) can reduce 7279 to:
% 63.48/22.70 | (2875) $false
% 63.48/22.70 |
% 63.48/22.70 |-The branch is then unsatisfiable
% 63.48/22.70 |-Branch two:
% 63.48/22.70 | (7277) all_2072_2_2023 = 0
% 63.48/22.70 | (7282) ~ (all_2072_3_2024 = 0) | all_2072_0_2021 = all_2072_1_2022
% 63.48/22.70 |
% 63.48/22.70 +-Applying beta-rule and splitting (7282), into two cases.
% 63.48/22.70 |-Branch one:
% 63.48/22.70 | (7283) ~ (all_2072_3_2024 = 0)
% 63.48/22.70 |
% 63.48/22.70 | Equations (7278) can reduce 7283 to:
% 63.48/22.70 | (2875) $false
% 63.48/22.70 |
% 63.48/22.70 |-The branch is then unsatisfiable
% 63.48/22.70 |-Branch two:
% 63.48/22.70 | (7278) all_2072_3_2024 = 0
% 63.48/22.70 | (7286) all_2072_0_2021 = all_2072_1_2022
% 63.48/22.70 |
% 63.48/22.70 | Combining equations (7286,7275) yields a new equation:
% 63.48/22.70 | (7287) all_2072_1_2022 = all_0_0_0
% 63.48/22.70 |
% 63.48/22.70 | Simplifying 7287 yields:
% 63.48/22.70 | (7288) all_2072_1_2022 = all_0_0_0
% 63.48/22.70 |
% 63.48/22.70 | Combining equations (7288,7276) yields a new equation:
% 63.48/22.70 | (2884) all_0_0_0 = all_0_1_1
% 63.48/22.70 |
% 63.48/22.70 | Simplifying 2884 yields:
% 63.48/22.70 | (2885) all_0_0_0 = all_0_1_1
% 63.48/22.70 |
% 63.48/22.70 | Equations (2885) can reduce 267 to:
% 63.48/22.70 | (2875) $false
% 63.48/22.70 |
% 63.48/22.70 |-The branch is then unsatisfiable
% 63.48/22.71 % SZS output end Proof for theBenchmark
% 63.48/22.71
% 63.48/22.71 22064ms
%------------------------------------------------------------------------------