TSTP Solution File: SWV117+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV117+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:50:04 EDT 2022
% Result : Theorem 26.22s 7.36s
% Output : Proof 116.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV117+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 18:11:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.57 ____ _
% 0.19/0.57 ___ / __ \_____(_)___ ________ __________
% 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.57
% 0.19/0.57 A Theorem Prover for First-Order Logic
% 0.19/0.57 (ePrincess v.1.0)
% 0.19/0.57
% 0.19/0.57 (c) Philipp Rümmer, 2009-2015
% 0.19/0.57 (c) Peter Backeman, 2014-2015
% 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57 Bug reports to peter@backeman.se
% 0.19/0.57
% 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.64/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.30/1.10 Prover 0: Preprocessing ...
% 4.13/1.59 Prover 0: Warning: ignoring some quantifiers
% 4.56/1.63 Prover 0: Constructing countermodel ...
% 20.02/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.57/6.07 Prover 1: Preprocessing ...
% 21.78/6.31 Prover 1: Warning: ignoring some quantifiers
% 21.88/6.31 Prover 1: Constructing countermodel ...
% 26.22/7.36 Prover 1: proved (1441ms)
% 26.22/7.36 Prover 0: stopped
% 26.22/7.36
% 26.22/7.36 No countermodel exists, formula is valid
% 26.22/7.36 % SZS status Theorem for theBenchmark
% 26.22/7.36
% 26.22/7.36 Generating proof ... Warning: ignoring some quantifiers
% 115.47/71.55 found it (size 202)
% 115.47/71.55
% 115.47/71.55 % SZS output start Proof for theBenchmark
% 115.47/71.55 Assumed formulas after preprocessing and simplification:
% 115.47/71.55 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (def = use) & minus(v3, n1) = v4 & minus(n6, n1) = v1 & minus(n999, n1) = v0 & minus(n3, n1) = v2 & plus(n1, v1) = v3 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, v0) = 0 & leq(n0, pv5) = 0 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n999, n6) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v13] : ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ( ~ (tptp_mmul(v27, v28) = v29) | ~ (tptp_mmul(v20, v24) = v25) | ~ (tptp_mmul(v19, v25) = v26) | ~ (tptp_mmul(v18, v21) = v22) | ~ (tptp_mmul(v17, v22) = v23) | ~ (tptp_mmul(v16, v29) = v30) | ~ (tptp_madd(v23, v26) = v27) | ~ (tptp_madd(v15, v30) = v31) | ~ (trans(v19) = v24) | ~ (trans(v17) = v21) | ~ (trans(v16) = v28) | ~ (a_select3(v31, v32, v33) = v34) | ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ((v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v20, v36, v35) = v42 & a_select3(v20, v35, v36) = v41 & leq(v36, v13) = 0 & leq(v35, v13) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v18, v36, v35) = v42 & a_select3(v18, v35, v36) = v41 & leq(v36, v14) = 0 & leq(v35, v14) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v15, v36, v35) = v42 & a_select3(v15, v35, v36) = v41 & leq(v36, v13) = 0 & leq(v35, v13) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (a_select3(v31, v33, v32) = v39 & leq(v33, v13) = v38 & leq(v32, v13) = v36 & leq(n0, v33) = v37 & leq(n0, v32) = v35 & ( ~ (v38 = 0) | ~ (v37 = 0) | ~ (v36 = 0) | ~ (v35 = 0) | v39 = v34)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (tptp_const_array2(v20, v21, v19) = v22) | ~ (a_select3(v22, v13, v16) = v23) | ~ (dim(v17, v18) = v21) | ~ (dim(v14, v15) = v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (leq(v17, v16) = v26 & leq(v16, v18) = v27 & leq(v14, v13) = v24 & leq(v13, v15) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0)))) & ? [v13] : ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (tptp_mmul(v16, v17) = v18) | ~ (tptp_mmul(v15, v18) = v19) | ~ (trans(v15) = v17) | ~ (a_select3(v19, v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v28 = 0 & v27 = 0 & v26 = 0 & v25 = 0 & ~ (v30 = v29) & a_select3(v16, v24, v23) = v30 & a_select3(v16, v23, v24) = v29 & leq(v24, v14) = 0 & leq(v23, v14) = 0 & leq(n0, v24) = 0 & leq(n0, v23) = 0) | (a_select3(v19, v21, v20) = v27 & leq(v21, v13) = v26 & leq(v20, v13) = v24 & leq(n0, v21) = v25 & leq(n0, v20) = v23 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v27 = v22)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v15, v16) = v17) | ~ (tptp_mmul(v14, v17) = v18) | ~ (trans(v14) = v16) | ~ (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(v15, v23, v22) = v29 & a_select3(v15, v22, v23) = v28 & leq(v23, v13) = 0 & leq(v22, v13) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v13) = v25 & leq(v19, v13) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (tptp_update3(v17, v15, v16, v18) = v19) | ~ (a_select3(v19, v13, v14) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v27 = v18) & a_select3(v17, v21, v22) = v27 & leq(v22, v16) = 0 & leq(v21, v15) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (leq(v14, v16) = v24 & leq(v13, v15) = v22 & leq(n0, v14) = v23 & leq(n0, v13) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0))))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v13 | v16 = v14 | ~ (tptp_update3(v17, v14, v15, v18) = v19) | ~ (a_select3(v19, v16, v15) = v20) | ? [v21] : ( ~ (v21 = v13) & a_select3(v17, v16, v15) = v21)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_update3(v14, v17, v17, v18) = v19) | ~ (a_select3(v19, v15, v16) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v14, v22, v21) = v28 & a_select3(v14, v21, v22) = v27 & leq(v22, v13) = 0 & leq(v21, v13) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v19, v16, v15) = v27 & leq(v17, v13) = v26 & leq(v16, v13) = v24 & leq(v15, v13) = v22 & leq(n0, v17) = v25 & leq(n0, v16) = v23 & leq(n0, v15) = v21 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v27 = v20)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (dim(v14, v15) = v17) | ~ (tptp_const_array1(v17, v16) = v18) | ~ (a_select2(v18, v13) = v19) | ? [v20] : ? [v21] : (leq(v14, v13) = v20 & leq(v13, v15) = v21 & ( ~ (v21 = 0) | ~ (v20 = 0)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v13 | v15 = v14 | ~ (tptp_update2(v16, v14, v17) = v18) | ~ (a_select2(v18, v15) = v19) | ? [v20] : ( ~ (v20 = v13) & a_select2(v16, v15) = v20)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_msub(v14, v15) = v16) | ~ (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(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v14, v21, v20) = v27 & a_select3(v14, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v13) = v23 & leq(v17, v13) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_madd(v14, v15) = v16) | ~ (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(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v14, v21, v20) = v27 & a_select3(v14, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v13) = v23 & leq(v17, v13) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update2(v15, v14, v16) = v17) | ~ (a_select2(v17, v13) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v21 = 0 & v20 = 0 & ~ (v22 = v16) & a_select2(v15, v19) = v22 & leq(v19, v14) = 0 & leq(n0, v19) = 0) | (leq(v13, v14) = v20 & leq(n0, v13) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update3(v13, v14, v15, v16) = v17) | ~ (a_select3(v17, v14, v15) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (tptp_update3(v18, v17, v16, v15) = v14) | ~ (tptp_update3(v18, v17, v16, v15) = v13)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (inv(v14) = v15) | ~ (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(v14, v20, v19) = v26 & a_select3(v14, v19, v20) = v25 & leq(v20, v13) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v13) = v22 & leq(v16, v13) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (trans(v14) = v15) | ~ (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(v14, v20, v19) = v26 & a_select3(v14, v19, v20) = v25 & leq(v20, v13) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v13) = v22 & leq(v16, v13) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update2(v13, v14, v15) = v16) | ~ (a_select2(v16, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (succ(v14) = v16) | ~ (succ(v13) = v15) | ~ (leq(v15, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & leq(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (tptp_update2(v17, v16, v15) = v14) | ~ (tptp_update2(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (sum(v17, v16, v15) = v14) | ~ (sum(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (tptp_const_array2(v17, v16, v15) = v14) | ~ (tptp_const_array2(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (a_select3(v17, v16, v15) = v14) | ~ (a_select3(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (uniform_int_rnd(v14, v13) = v15) | ~ (leq(v15, v13) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(n0, v13) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (succ(v14) = v15) | ~ (leq(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v13, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (succ(v14) = v15) | ~ (gt(v15, v13) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v13, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (pred(v14) = v15) | ~ (leq(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & gt(v14, v13) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (leq(v13, v15) = v16) | ~ (leq(v13, v14) = 0) | ? [v17] : ( ~ (v17 = 0) & leq(v14, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (gt(v13, v15) = v16) | ~ (gt(v13, v14) = 0) | ? [v17] : ( ~ (v17 = 0) & gt(v14, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (minus(v16, v15) = v14) | ~ (minus(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (plus(v16, v15) = v14) | ~ (plus(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_mmul(v16, v15) = v14) | ~ (tptp_mmul(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_msub(v16, v15) = v14) | ~ (tptp_msub(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_madd(v16, v15) = v14) | ~ (tptp_madd(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (dim(v16, v15) = v14) | ~ (dim(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_const_array1(v16, v15) = v14) | ~ (tptp_const_array1(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (a_select2(v16, v15) = v14) | ~ (a_select2(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (uniform_int_rnd(v16, v15) = v14) | ~ (uniform_int_rnd(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (geq(v16, v15) = v14) | ~ (geq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (lt(v16, v15) = v14) | ~ (lt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (leq(v16, v15) = v14) | ~ (leq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (gt(v16, v15) = v14) | ~ (gt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (succ(v14) = v16) | ~ (succ(v13) = v15) | ~ (leq(v15, v16) = 0) | leq(v13, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (gt(v14, v13) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v13, v14) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (gt(v13, v14) = v15) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (succ(v13) = v14) | ~ (gt(v14, v13) = v15)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v14, v13) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & gt(v14, v13) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (inv(v15) = v14) | ~ (inv(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (trans(v15) = v14) | ~ (trans(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (succ(v15) = v14) | ~ (succ(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (pred(v15) = v14) | ~ (pred(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (minus(v13, v14) = v15) | ~ (leq(v15, v13) = 0) | leq(n0, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (uniform_int_rnd(v14, v13) = v15) | ? [v16] : ? [v17] : (leq(n0, v15) = v17 & leq(n0, v13) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (succ(v14) = v15) | ~ (gt(v15, v13) = 0) | leq(v13, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (succ(v13) = v15) | ~ (leq(v15, v14) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (pred(v14) = v15) | ~ (leq(v13, v15) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : (v14 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v13) = v14)) & ! [v13] : ! [v14] : (v14 = n0 | ~ (sum(n0, tptp_minus_1, v13) = v14)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v13, v13) = v14)) & ! [v13] : ! [v14] : ( ~ (minus(v13, n1) = v14) | pred(v13) = v14) & ! [v13] : ! [v14] : ( ~ (plus(v13, n5) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v14 & succ(v17) = v18 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n4) = v14) | ? [v15] : ? [v16] : ? [v17] : (succ(v17) = v14 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n3) = v14) | ? [v15] : ? [v16] : (succ(v16) = v14 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n2) = v14) | ? [v15] : (succ(v15) = v14 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n1) = v14) | succ(v13) = v14) & ! [v13] : ! [v14] : ( ~ (plus(n5, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v14 & succ(v17) = v18 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n4, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (succ(v17) = v14 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n3, v13) = v14) | ? [v15] : ? [v16] : (succ(v16) = v14 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n2, v13) = v14) | ? [v15] : (succ(v15) = v14 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n1, v13) = v14) | succ(v13) = v14) & ! [v13] : ! [v14] : ( ~ (succ(v13) = v14) | pred(v14) = v13) & ! [v13] : ! [v14] : ( ~ (pred(v13) = v14) | succ(v14) = v13) & ! [v13] : ! [v14] : ( ~ (geq(v13, v14) = 0) | leq(v14, v13) = 0) & ! [v13] : ! [v14] : ( ~ (lt(v13, v14) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ( ~ (leq(v14, v2) = 0) | ~ (leq(v13, v2) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (a_select3(r_ds1_filter, v14, v13) = v18 & a_select3(r_ds1_filter, v13, v14) = v17 & leq(n0, v14) = v16 & leq(n0, v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v18 = v17))) & ! [v13] : ! [v14] : ( ~ (leq(v14, v1) = 0) | ~ (leq(v13, v4) = 0) | ? [v15] : ? [v16] : ? [v17] : (( ~ (v15 = 0) & leq(n0, v13) = v15) | (a_select3(id_ds1_filter, v14, v13) = v17 & a_select3(id_ds1_filter, v13, v14) = v16 & leq(n0, v14) = v15 & ( ~ (v15 = 0) | v17 = v16)))) & ! [v13] : ! [v14] : ( ~ (leq(v14, v1) = 0) | ~ (leq(v13, v1) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (a_select3(pminus_ds1_filter, v14, v13) = v18 & a_select3(pminus_ds1_filter, v13, v14) = v17 & leq(n0, v14) = v16 & leq(n0, v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v18 = v17))) & ! [v13] : ! [v14] : ( ~ (leq(v14, v1) = 0) | ~ (leq(v13, v1) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (a_select3(q_ds1_filter, v14, v13) = v18 & a_select3(q_ds1_filter, v13, v14) = v17 & leq(n0, v14) = v16 & leq(n0, v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v18 = v17))) & ! [v13] : ! [v14] : ( ~ (gt(v14, v13) = 0) | leq(v13, v14) = 0) & ! [v13] : (v13 = n6 | v13 = n5 | v13 = n4 | v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n6) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n5 | v13 = n4 | v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n5) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n4 | v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n4) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n3) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n2) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n1 | v13 = n0 | ~ (leq(v13, n1) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n0 | ~ (leq(n0, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v13, n0) = v14)) & ! [v13] : ~ (gt(v13, v13) = 0) & ((v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v12 = v11) & a_select3(pminus_ds1_filter, v6, v5) = v12 & a_select3(pminus_ds1_filter, v5, v6) = v11 & leq(v6, v1) = 0 & leq(v5, v1) = 0 & leq(n0, v6) = 0 & leq(n0, v5) = 0) | (v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v12 = v11) & a_select3(r_ds1_filter, v6, v5) = v12 & a_select3(r_ds1_filter, v5, v6) = v11 & leq(v6, v2) = 0 & leq(v5, v2) = 0 & leq(n0, v6) = 0 & leq(n0, v5) = 0) | (v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v12 = v11) & a_select3(q_ds1_filter, v6, v5) = v12 & a_select3(q_ds1_filter, v5, v6) = v11 & leq(v6, v1) = 0 & leq(v5, v1) = 0 & leq(n0, v6) = 0 & leq(n0, v5) = 0) | (v10 = 0 & v9 = 0 & v7 = 0 & v6 = 0 & ~ (v12 = v11) & a_select3(id_ds1_filter, v8, v5) = v12 & a_select3(id_ds1_filter, v5, v8) = v11 & leq(v8, v1) = 0 & leq(v5, v1) = 0 & leq(n0, v8) = 0 & leq(n0, v5) = 0)))
% 115.47/71.63 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12 yields:
% 115.47/71.63 | (1) ~ (def = use) & minus(all_0_9_9, n1) = all_0_8_8 & minus(n6, n1) = all_0_11_11 & minus(n999, n1) = all_0_12_12 & minus(n3, n1) = all_0_10_10 & plus(n1, all_0_11_11) = all_0_9_9 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv5, all_0_12_12) = 0 & leq(n0, pv5) = 0 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n999, n6) = 0 & gt(n999, n5) = 0 & gt(n999, n4) = 0 & gt(n999, n3) = 0 & gt(n999, n2) = 0 & gt(n999, n1) = 0 & gt(n999, tptp_minus_1) = 0 & gt(n999, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_10_10) = 0) | ~ (leq(v0, all_0_10_10) = 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_11_11) = 0) | ~ (leq(v0, all_0_8_8) = 0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v2 = 0) & leq(n0, v0) = v2) | (a_select3(id_ds1_filter, v1, v0) = v4 & a_select3(id_ds1_filter, v0, v1) = v3 & leq(n0, v1) = v2 & ( ~ (v2 = 0) | v4 = v3)))) & ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_11_11) = 0) | ~ (leq(v0, all_0_11_11) = 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_11_11) = 0) | ~ (leq(v0, all_0_11_11) = 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_10_10) = 0 & leq(all_0_7_7, all_0_10_10) = 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_5_5 = 0 & all_0_6_6 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_0_0_0 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_0_1_1 & leq(all_0_4_4, all_0_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_4_4) = 0 & leq(n0, all_0_7_7) = 0))
% 115.84/71.66 |
% 115.84/71.66 | Applying alpha-rule on (1) yields:
% 115.84/71.66 | (2) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 115.84/71.67 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 115.84/71.67 | (4) gt(n4, n3) = 0
% 115.84/71.67 | (5) gt(n999, n5) = 0
% 115.84/71.67 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 115.84/71.67 | (7) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 115.84/71.67 | (8) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 115.84/71.67 | (9) gt(n5, n3) = 0
% 115.84/71.67 | (10) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 115.84/71.67 | (11) minus(n3, n1) = all_0_10_10
% 115.84/71.67 | (12) gt(n999, n4) = 0
% 115.84/71.67 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 115.84/71.67 | (14) succ(n0) = n1
% 115.84/71.67 | (15) ! [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)))))
% 115.84/71.67 | (16) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 115.84/71.67 | (17) gt(n5, n0) = 0
% 115.84/71.67 | (18) succ(n5) = n6
% 115.84/71.67 | (19) ! [v0] : ~ (gt(v0, v0) = 0)
% 115.84/71.67 | (20) minus(n6, n1) = all_0_11_11
% 115.84/71.67 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 115.84/71.67 | (22) ? [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))
% 115.84/71.67 | (23) gt(n6, n5) = 0
% 115.84/71.67 | (24) ? [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))))
% 115.84/71.67 | (25) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_11_11) = 0) | ~ (leq(v0, all_0_11_11) = 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)))
% 115.84/71.67 | (26) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 115.84/71.67 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 115.84/71.67 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 115.84/71.67 | (29) gt(n999, n0) = 0
% 115.84/71.67 | (30) gt(n4, n0) = 0
% 115.84/71.67 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 115.84/71.67 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 115.84/71.67 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 115.84/71.67 | (34) ? [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))))
% 115.84/71.67 | (35) leq(n0, pv5) = 0
% 115.84/71.67 | (36) ? [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))
% 115.84/71.68 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 115.84/71.68 | (38) gt(n5, n1) = 0
% 115.84/71.68 | (39) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 115.84/71.68 | (40) gt(n4, n1) = 0
% 115.84/71.68 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0))))
% 115.84/71.68 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 115.84/71.68 | (43) gt(n3, tptp_minus_1) = 0
% 115.84/71.68 | (44) ! [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))
% 115.84/71.68 | (45) gt(n6, n1) = 0
% 115.84/71.68 | (46) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 115.84/71.68 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 115.84/71.68 | (48) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 115.84/71.68 | (49) ? [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))))
% 115.84/71.68 | (50) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_11_11) = 0) | ~ (leq(v0, all_0_11_11) = 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)))
% 115.84/71.68 | (51) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 115.84/71.68 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 115.84/71.68 | (53) gt(n1, tptp_minus_1) = 0
% 115.84/71.68 | (54) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 115.84/71.68 | (55) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_10_10) = 0) | ~ (leq(v0, all_0_10_10) = 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)))
% 115.84/71.68 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 115.84/71.68 | (57) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 115.84/71.68 | (58) (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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_10_10) = 0 & leq(all_0_7_7, all_0_10_10) = 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_5_5 = 0 & all_0_6_6 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_0_0_0 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_0_1_1 & leq(all_0_4_4, all_0_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_4_4) = 0 & leq(n0, all_0_7_7) = 0)
% 116.10/71.68 | (59) minus(n999, n1) = all_0_12_12
% 116.10/71.68 | (60) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 116.10/71.68 | (61) gt(n5, n4) = 0
% 116.10/71.68 | (62) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 116.10/71.68 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 116.10/71.68 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 116.10/71.69 | (65) gt(n6, n2) = 0
% 116.10/71.69 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 116.10/71.69 | (67) plus(n1, all_0_11_11) = all_0_9_9
% 116.10/71.69 | (68) succ(tptp_minus_1) = n0
% 116.10/71.69 | (69) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 116.10/71.69 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 116.10/71.69 | (71) ! [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))
% 116.10/71.69 | (72) true
% 116.10/71.69 | (73) ! [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))))
% 116.10/71.69 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 116.10/71.69 | (75) gt(n4, tptp_minus_1) = 0
% 116.10/71.69 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 116.10/71.69 | (77) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 116.10/71.69 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 116.10/71.69 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 116.10/71.69 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 116.10/71.69 | (81) succ(n3) = n4
% 116.10/71.69 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 116.10/71.69 | (83) gt(n3, n2) = 0
% 116.10/71.69 | (84) minus(all_0_9_9, n1) = all_0_8_8
% 116.10/71.69 | (85) gt(n6, n3) = 0
% 116.10/71.69 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 116.10/71.69 | (87) gt(n5, tptp_minus_1) = 0
% 116.10/71.69 | (88) gt(n2, n1) = 0
% 116.10/71.69 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 116.10/71.69 | (90) gt(n999, n3) = 0
% 116.10/71.69 | (91) ? [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))))
% 116.10/71.69 | (92) gt(n1, n0) = 0
% 116.10/71.69 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 116.10/71.69 | (94) gt(n4, n2) = 0
% 116.10/71.69 | (95) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 116.10/71.69 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 116.10/71.69 | (97) ! [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)))))
% 116.10/71.69 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 116.10/71.70 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 116.10/71.70 | (100) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 116.10/71.70 | (101) gt(n5, n2) = 0
% 116.10/71.70 | (102) gt(n0, tptp_minus_1) = 0
% 116.10/71.70 | (103) ? [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))))
% 116.10/71.70 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 116.10/71.70 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 116.10/71.70 | (106) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 116.10/71.70 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 116.10/71.70 | (108) gt(n2, tptp_minus_1) = 0
% 116.10/71.70 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 116.10/71.70 | (110) gt(n999, n6) = 0
% 116.10/71.70 | (111) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 116.10/71.70 | (112) gt(n2, n0) = 0
% 116.10/71.70 | (113) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 116.10/71.70 | (114) gt(n999, n1) = 0
% 116.10/71.70 | (115) leq(pv5, all_0_12_12) = 0
% 116.10/71.70 | (116) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 116.10/71.70 | (117) gt(n3, n1) = 0
% 116.10/71.70 | (118) gt(n6, n4) = 0
% 116.10/71.70 | (119) gt(n6, tptp_minus_1) = 0
% 116.10/71.70 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 116.10/71.70 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 116.10/71.70 | (122) ? [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))))
% 116.10/71.70 | (123) succ(n2) = n3
% 116.10/71.70 | (124) gt(n999, n2) = 0
% 116.10/71.70 | (125) ~ (def = use)
% 116.10/71.70 | (126) succ(n1) = n2
% 116.10/71.70 | (127) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 116.10/71.70 | (128) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 116.10/71.70 | (129) ? [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))))
% 116.10/71.70 | (130) gt(n3, n0) = 0
% 116.10/71.70 | (131) gt(n6, n0) = 0
% 116.10/71.70 | (132) ! [v0] : ! [v1] : ( ~ (leq(v1, all_0_11_11) = 0) | ~ (leq(v0, all_0_8_8) = 0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v2 = 0) & leq(n0, v0) = v2) | (a_select3(id_ds1_filter, v1, v0) = v4 & a_select3(id_ds1_filter, v0, v1) = v3 & leq(n0, v1) = v2 & ( ~ (v2 = 0) | v4 = v3))))
% 116.10/71.70 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 116.10/71.70 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 116.10/71.71 | (135) gt(n999, tptp_minus_1) = 0
% 116.10/71.71 | (136) ? [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))))
% 116.10/71.71 | (137) ! [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))
% 116.10/71.71 | (138) succ(n4) = n5
% 116.10/71.71 | (139) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 116.10/71.71 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 116.10/71.71 | (141) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (66) with n6, n1, all_0_11_11, all_0_8_8 and discharging atoms minus(n6, n1) = all_0_11_11, yields:
% 116.10/71.71 | (142) all_0_8_8 = all_0_11_11 | ~ (minus(n6, n1) = all_0_8_8)
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (39) with all_0_8_8, all_0_9_9 and discharging atoms minus(all_0_9_9, n1) = all_0_8_8, yields:
% 116.10/71.71 | (143) pred(all_0_9_9) = all_0_8_8
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (39) with all_0_11_11, n6 and discharging atoms minus(n6, n1) = all_0_11_11, yields:
% 116.10/71.71 | (144) pred(n6) = all_0_11_11
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (39) with all_0_10_10, n3 and discharging atoms minus(n3, n1) = all_0_10_10, yields:
% 116.10/71.71 | (145) pred(n3) = all_0_10_10
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (77) with all_0_9_9, all_0_11_11 and discharging atoms plus(n1, all_0_11_11) = all_0_9_9, yields:
% 116.10/71.71 | (146) succ(all_0_11_11) = all_0_9_9
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (8) with n6, n5 and discharging atoms succ(n5) = n6, yields:
% 116.10/71.71 | (147) pred(n6) = n5
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (8) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 116.10/71.71 | (148) pred(n3) = n2
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (93) with n5, all_0_9_9, n6 and discharging atoms succ(n5) = n6, yields:
% 116.10/71.71 | (149) all_0_9_9 = n6 | ~ (succ(n5) = all_0_9_9)
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (104) with n6, all_0_11_11, all_0_8_8 and discharging atoms pred(n6) = all_0_11_11, yields:
% 116.10/71.71 | (150) all_0_8_8 = all_0_11_11 | ~ (pred(n6) = all_0_8_8)
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (104) with n6, n5, all_0_8_8 and discharging atoms pred(n6) = n5, yields:
% 116.10/71.71 | (151) all_0_8_8 = n5 | ~ (pred(n6) = all_0_8_8)
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (104) with n6, n5, all_0_11_11 and discharging atoms pred(n6) = all_0_11_11, pred(n6) = n5, yields:
% 116.10/71.71 | (152) all_0_11_11 = n5
% 116.10/71.71 |
% 116.10/71.71 | Instantiating formula (104) with n3, n2, all_0_10_10 and discharging atoms pred(n3) = all_0_10_10, pred(n3) = n2, yields:
% 116.10/71.71 | (153) all_0_10_10 = n2
% 116.10/71.71 |
% 116.10/71.71 | From (152) and (146) follows:
% 116.10/71.71 | (154) succ(n5) = all_0_9_9
% 116.10/71.71 |
% 116.10/71.71 +-Applying beta-rule and splitting (149), into two cases.
% 116.10/71.71 |-Branch one:
% 116.10/71.71 | (155) ~ (succ(n5) = all_0_9_9)
% 116.10/71.71 |
% 116.10/71.71 | Using (154) and (155) yields:
% 116.10/71.71 | (156) $false
% 116.10/71.71 |
% 116.10/71.71 |-The branch is then unsatisfiable
% 116.10/71.71 |-Branch two:
% 116.10/71.71 | (154) succ(n5) = all_0_9_9
% 116.10/71.71 | (158) all_0_9_9 = n6
% 116.10/71.71 |
% 116.10/71.71 | From (158) and (84) follows:
% 116.10/71.71 | (159) minus(n6, n1) = all_0_8_8
% 116.10/71.71 |
% 116.10/71.71 | From (158) and (143) follows:
% 116.10/71.71 | (160) pred(n6) = all_0_8_8
% 116.10/71.71 |
% 116.10/71.71 +-Applying beta-rule and splitting (142), into two cases.
% 116.10/71.71 |-Branch one:
% 116.10/71.71 | (161) ~ (minus(n6, n1) = all_0_8_8)
% 116.10/71.71 |
% 116.10/71.71 | Using (159) and (161) yields:
% 116.10/71.71 | (156) $false
% 116.10/71.71 |
% 116.10/71.71 |-The branch is then unsatisfiable
% 116.10/71.71 |-Branch two:
% 116.10/71.71 | (159) minus(n6, n1) = all_0_8_8
% 116.10/71.71 | (164) all_0_8_8 = all_0_11_11
% 116.10/71.71 |
% 116.10/71.71 | Combining equations (152,164) yields a new equation:
% 116.10/71.71 | (165) all_0_8_8 = n5
% 116.10/71.71 |
% 116.10/71.71 | From (165) and (160) follows:
% 116.10/71.71 | (147) pred(n6) = n5
% 116.10/71.71 |
% 116.10/71.71 +-Applying beta-rule and splitting (58), into two cases.
% 116.10/71.71 |-Branch one:
% 116.10/71.71 | (167) (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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_10_10) = 0 & leq(all_0_7_7, all_0_10_10) = 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0)
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (167), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (168) (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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 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_10_10) = 0 & leq(all_0_7_7, all_0_10_10) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0)
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (168), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (169) 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 116.10/71.72 |
% 116.10/71.72 | Applying alpha-rule on (169) yields:
% 116.10/71.72 | (170) leq(n0, all_0_7_7) = 0
% 116.10/71.72 | (171) all_0_4_4 = 0
% 116.10/71.72 | (172) all_0_2_2 = 0
% 116.10/71.72 | (173) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 116.10/71.72 | (174) leq(n0, all_0_6_6) = 0
% 116.10/71.72 | (175) ~ (all_0_0_0 = all_0_1_1)
% 116.10/71.72 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.72 | (177) all_0_5_5 = 0
% 116.10/71.72 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.72 | (179) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 116.10/71.72 | (180) all_0_3_3 = 0
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (176) follows:
% 116.10/71.72 | (181) leq(all_0_6_6, n5) = 0
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (178) follows:
% 116.10/71.72 | (182) leq(all_0_7_7, n5) = 0
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (150), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (183) ~ (pred(n6) = all_0_8_8)
% 116.10/71.72 |
% 116.10/71.72 | From (165) and (183) follows:
% 116.10/71.72 | (184) ~ (pred(n6) = n5)
% 116.10/71.72 |
% 116.10/71.72 | Using (147) and (184) yields:
% 116.10/71.72 | (156) $false
% 116.10/71.72 |
% 116.10/71.72 |-The branch is then unsatisfiable
% 116.10/71.72 |-Branch two:
% 116.10/71.72 | (160) pred(n6) = all_0_8_8
% 116.10/71.72 | (164) all_0_8_8 = all_0_11_11
% 116.10/71.72 |
% 116.10/71.72 | Combining equations (164,165) yields a new equation:
% 116.10/71.72 | (188) all_0_11_11 = n5
% 116.10/71.72 |
% 116.10/71.72 | Simplifying 188 yields:
% 116.10/71.72 | (152) all_0_11_11 = n5
% 116.10/71.72 |
% 116.10/71.72 | Instantiating formula (25) with all_0_7_7, all_0_6_6 yields:
% 116.10/71.72 | (190) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.72 |
% 116.10/71.72 | Instantiating formula (25) with all_0_6_6, all_0_7_7 yields:
% 116.10/71.72 | (191) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (191), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (192) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (192) follows:
% 116.10/71.72 | (193) ~ (leq(all_0_6_6, n5) = 0)
% 116.10/71.72 |
% 116.10/71.72 | Using (181) and (193) yields:
% 116.10/71.72 | (156) $false
% 116.10/71.72 |
% 116.10/71.72 |-The branch is then unsatisfiable
% 116.10/71.72 |-Branch two:
% 116.10/71.72 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.72 | (196) ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (176) follows:
% 116.10/71.72 | (181) leq(all_0_6_6, n5) = 0
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (190), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (192) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (192) follows:
% 116.10/71.72 | (193) ~ (leq(all_0_6_6, n5) = 0)
% 116.10/71.72 |
% 116.10/71.72 | Using (181) and (193) yields:
% 116.10/71.72 | (156) $false
% 116.10/71.72 |
% 116.10/71.72 |-The branch is then unsatisfiable
% 116.10/71.72 |-Branch two:
% 116.10/71.72 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.72 | (202) ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.72 |
% 116.10/71.72 +-Applying beta-rule and splitting (202), into two cases.
% 116.10/71.72 |-Branch one:
% 116.10/71.72 | (203) ~ (leq(all_0_7_7, all_0_11_11) = 0)
% 116.10/71.72 |
% 116.10/71.72 | From (152) and (203) follows:
% 116.10/71.72 | (204) ~ (leq(all_0_7_7, n5) = 0)
% 116.10/71.72 |
% 116.10/71.72 | Using (182) and (204) yields:
% 116.10/71.72 | (156) $false
% 116.10/71.72 |
% 116.10/71.72 |-The branch is then unsatisfiable
% 116.10/71.72 |-Branch two:
% 116.10/71.72 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.72 | (207) ? [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))
% 116.10/71.72 |
% 116.10/71.72 | Instantiating (207) with all_5642_0_673, all_5642_1_674, all_5642_2_675, all_5642_3_676 yields:
% 116.10/71.72 | (208) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_674 & a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_673 & leq(n0, all_0_6_6) = all_5642_3_676 & leq(n0, all_0_7_7) = all_5642_2_675 & ( ~ (all_5642_2_675 = 0) | ~ (all_5642_3_676 = 0) | all_5642_0_673 = all_5642_1_674)
% 116.10/71.72 |
% 116.10/71.72 | Applying alpha-rule on (208) yields:
% 116.10/71.72 | (209) ~ (all_5642_2_675 = 0) | ~ (all_5642_3_676 = 0) | all_5642_0_673 = all_5642_1_674
% 116.10/71.72 | (210) a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_673
% 116.10/71.72 | (211) a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_674
% 116.10/71.72 | (212) leq(n0, all_0_7_7) = all_5642_2_675
% 116.10/71.72 | (213) leq(n0, all_0_6_6) = all_5642_3_676
% 116.10/71.72 |
% 116.10/71.72 | Instantiating formula (109) with pminus_ds1_filter, all_0_6_6, all_0_7_7, all_5642_1_674, all_0_0_0 and discharging atoms a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_674, a_select3(pminus_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 116.10/71.72 | (214) all_5642_1_674 = all_0_0_0
% 116.10/71.72 |
% 116.10/71.72 | Instantiating formula (109) with pminus_ds1_filter, all_0_7_7, all_0_6_6, all_5642_0_673, all_0_1_1 and discharging atoms a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_673, a_select3(pminus_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 116.10/71.73 | (215) all_5642_0_673 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (120) with n0, all_0_6_6, all_5642_3_676, 0 and discharging atoms leq(n0, all_0_6_6) = all_5642_3_676, leq(n0, all_0_6_6) = 0, yields:
% 116.10/71.73 | (216) all_5642_3_676 = 0
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (120) with n0, all_0_7_7, all_5642_2_675, 0 and discharging atoms leq(n0, all_0_7_7) = all_5642_2_675, leq(n0, all_0_7_7) = 0, yields:
% 116.10/71.73 | (217) all_5642_2_675 = 0
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (209), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (218) ~ (all_5642_2_675 = 0)
% 116.10/71.73 |
% 116.10/71.73 | Equations (217) can reduce 218 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (217) all_5642_2_675 = 0
% 116.10/71.73 | (221) ~ (all_5642_3_676 = 0) | all_5642_0_673 = all_5642_1_674
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (221), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (222) ~ (all_5642_3_676 = 0)
% 116.10/71.73 |
% 116.10/71.73 | Equations (216) can reduce 222 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (216) all_5642_3_676 = 0
% 116.10/71.73 | (225) all_5642_0_673 = all_5642_1_674
% 116.10/71.73 |
% 116.10/71.73 | Combining equations (225,215) yields a new equation:
% 116.10/71.73 | (226) all_5642_1_674 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Simplifying 226 yields:
% 116.10/71.73 | (227) all_5642_1_674 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Combining equations (227,214) yields a new equation:
% 116.10/71.73 | (228) all_0_0_0 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Equations (228) can reduce 175 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (230) 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_10_10) = 0 & leq(all_0_7_7, all_0_10_10) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 116.10/71.73 |
% 116.10/71.73 | Applying alpha-rule on (230) yields:
% 116.10/71.73 | (170) leq(n0, all_0_7_7) = 0
% 116.10/71.73 | (171) all_0_4_4 = 0
% 116.10/71.73 | (233) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 116.10/71.73 | (172) all_0_2_2 = 0
% 116.10/71.73 | (235) leq(all_0_7_7, all_0_10_10) = 0
% 116.10/71.73 | (174) leq(n0, all_0_6_6) = 0
% 116.10/71.73 | (175) ~ (all_0_0_0 = all_0_1_1)
% 116.10/71.73 | (238) leq(all_0_6_6, all_0_10_10) = 0
% 116.10/71.73 | (177) all_0_5_5 = 0
% 116.10/71.73 | (180) all_0_3_3 = 0
% 116.10/71.73 | (241) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 116.10/71.73 |
% 116.10/71.73 | From (153) and (238) follows:
% 116.10/71.73 | (242) leq(all_0_6_6, n2) = 0
% 116.10/71.73 |
% 116.10/71.73 | From (153) and (235) follows:
% 116.10/71.73 | (243) leq(all_0_7_7, n2) = 0
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (55) with all_0_6_6, all_0_7_7 yields:
% 116.10/71.73 | (244) ~ (leq(all_0_6_6, all_0_10_10) = 0) | ~ (leq(all_0_7_7, all_0_10_10) = 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))
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (244), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (245) ~ (leq(all_0_6_6, all_0_10_10) = 0)
% 116.10/71.73 |
% 116.10/71.73 | From (153) and (245) follows:
% 116.10/71.73 | (246) ~ (leq(all_0_6_6, n2) = 0)
% 116.10/71.73 |
% 116.10/71.73 | Using (242) and (246) yields:
% 116.10/71.73 | (156) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (238) leq(all_0_6_6, all_0_10_10) = 0
% 116.10/71.73 | (249) ~ (leq(all_0_7_7, all_0_10_10) = 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))
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (249), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (250) ~ (leq(all_0_7_7, all_0_10_10) = 0)
% 116.10/71.73 |
% 116.10/71.73 | From (153) and (250) follows:
% 116.10/71.73 | (251) ~ (leq(all_0_7_7, n2) = 0)
% 116.10/71.73 |
% 116.10/71.73 | Using (243) and (251) yields:
% 116.10/71.73 | (156) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (235) leq(all_0_7_7, all_0_10_10) = 0
% 116.10/71.73 | (254) ? [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))
% 116.10/71.73 |
% 116.10/71.73 | Instantiating (254) with all_5642_0_684, all_5642_1_685, all_5642_2_686, all_5642_3_687 yields:
% 116.10/71.73 | (255) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_0_684 & a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_1_685 & leq(n0, all_0_6_6) = all_5642_2_686 & leq(n0, all_0_7_7) = all_5642_3_687 & ( ~ (all_5642_2_686 = 0) | ~ (all_5642_3_687 = 0) | all_5642_0_684 = all_5642_1_685)
% 116.10/71.73 |
% 116.10/71.73 | Applying alpha-rule on (255) yields:
% 116.10/71.73 | (256) ~ (all_5642_2_686 = 0) | ~ (all_5642_3_687 = 0) | all_5642_0_684 = all_5642_1_685
% 116.10/71.73 | (257) leq(n0, all_0_6_6) = all_5642_2_686
% 116.10/71.73 | (258) a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_0_684
% 116.10/71.73 | (259) leq(n0, all_0_7_7) = all_5642_3_687
% 116.10/71.73 | (260) a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_1_685
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (109) with r_ds1_filter, all_0_6_6, all_0_7_7, all_5642_0_684, all_0_0_0 and discharging atoms a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_0_684, a_select3(r_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 116.10/71.73 | (261) all_5642_0_684 = all_0_0_0
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (109) with r_ds1_filter, all_0_7_7, all_0_6_6, all_5642_1_685, all_0_1_1 and discharging atoms a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_1_685, a_select3(r_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 116.10/71.73 | (262) all_5642_1_685 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (120) with n0, all_0_6_6, all_5642_2_686, 0 and discharging atoms leq(n0, all_0_6_6) = all_5642_2_686, leq(n0, all_0_6_6) = 0, yields:
% 116.10/71.73 | (263) all_5642_2_686 = 0
% 116.10/71.73 |
% 116.10/71.73 | Instantiating formula (120) with n0, all_0_7_7, all_5642_3_687, 0 and discharging atoms leq(n0, all_0_7_7) = all_5642_3_687, leq(n0, all_0_7_7) = 0, yields:
% 116.10/71.73 | (264) all_5642_3_687 = 0
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (256), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (265) ~ (all_5642_2_686 = 0)
% 116.10/71.73 |
% 116.10/71.73 | Equations (263) can reduce 265 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (263) all_5642_2_686 = 0
% 116.10/71.73 | (268) ~ (all_5642_3_687 = 0) | all_5642_0_684 = all_5642_1_685
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (268), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (269) ~ (all_5642_3_687 = 0)
% 116.10/71.73 |
% 116.10/71.73 | Equations (264) can reduce 269 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (264) all_5642_3_687 = 0
% 116.10/71.73 | (272) all_5642_0_684 = all_5642_1_685
% 116.10/71.73 |
% 116.10/71.73 | Combining equations (272,261) yields a new equation:
% 116.10/71.73 | (273) all_5642_1_685 = all_0_0_0
% 116.10/71.73 |
% 116.10/71.73 | Simplifying 273 yields:
% 116.10/71.73 | (274) all_5642_1_685 = all_0_0_0
% 116.10/71.73 |
% 116.10/71.73 | Combining equations (274,262) yields a new equation:
% 116.10/71.73 | (275) all_0_0_0 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Simplifying 275 yields:
% 116.10/71.73 | (228) all_0_0_0 = all_0_1_1
% 116.10/71.73 |
% 116.10/71.73 | Equations (228) can reduce 175 to:
% 116.10/71.73 | (219) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.73 |-Branch two:
% 116.10/71.73 | (278) 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_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_6_6) = 0 & leq(n0, all_0_7_7) = 0
% 116.10/71.73 |
% 116.10/71.73 | Applying alpha-rule on (278) yields:
% 116.10/71.73 | (170) leq(n0, all_0_7_7) = 0
% 116.10/71.73 | (171) all_0_4_4 = 0
% 116.10/71.73 | (172) all_0_2_2 = 0
% 116.10/71.73 | (174) leq(n0, all_0_6_6) = 0
% 116.10/71.73 | (175) ~ (all_0_0_0 = all_0_1_1)
% 116.10/71.73 | (284) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0
% 116.10/71.73 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.73 | (177) all_0_5_5 = 0
% 116.10/71.73 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.73 | (288) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1
% 116.10/71.73 | (180) all_0_3_3 = 0
% 116.10/71.73 |
% 116.10/71.73 | From (152) and (176) follows:
% 116.10/71.73 | (181) leq(all_0_6_6, n5) = 0
% 116.10/71.73 |
% 116.10/71.73 | From (152) and (178) follows:
% 116.10/71.73 | (182) leq(all_0_7_7, n5) = 0
% 116.10/71.73 |
% 116.10/71.73 +-Applying beta-rule and splitting (150), into two cases.
% 116.10/71.73 |-Branch one:
% 116.10/71.73 | (183) ~ (pred(n6) = all_0_8_8)
% 116.10/71.73 |
% 116.10/71.73 | From (165) and (183) follows:
% 116.10/71.73 | (184) ~ (pred(n6) = n5)
% 116.10/71.73 |
% 116.10/71.73 | Using (147) and (184) yields:
% 116.10/71.73 | (156) $false
% 116.10/71.73 |
% 116.10/71.73 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (160) pred(n6) = all_0_8_8
% 116.10/71.74 | (164) all_0_8_8 = all_0_11_11
% 116.10/71.74 |
% 116.10/71.74 | Combining equations (164,165) yields a new equation:
% 116.10/71.74 | (188) all_0_11_11 = n5
% 116.10/71.74 |
% 116.10/71.74 | Simplifying 188 yields:
% 116.10/71.74 | (152) all_0_11_11 = n5
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (50) with all_0_7_7, all_0_6_6 yields:
% 116.10/71.74 | (299) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (50) with all_0_6_6, all_0_7_7 yields:
% 116.10/71.74 | (300) ~ (leq(all_0_6_6, all_0_11_11) = 0) | ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (300), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (192) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (192) follows:
% 116.10/71.74 | (193) ~ (leq(all_0_6_6, n5) = 0)
% 116.10/71.74 |
% 116.10/71.74 | Using (181) and (193) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.74 | (305) ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (176) follows:
% 116.10/71.74 | (181) leq(all_0_6_6, n5) = 0
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (299), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (192) ~ (leq(all_0_6_6, all_0_11_11) = 0)
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (192) follows:
% 116.10/71.74 | (193) ~ (leq(all_0_6_6, n5) = 0)
% 116.10/71.74 |
% 116.10/71.74 | Using (181) and (193) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (176) leq(all_0_6_6, all_0_11_11) = 0
% 116.10/71.74 | (311) ~ (leq(all_0_7_7, all_0_11_11) = 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))
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (311), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (203) ~ (leq(all_0_7_7, all_0_11_11) = 0)
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (203) follows:
% 116.10/71.74 | (204) ~ (leq(all_0_7_7, n5) = 0)
% 116.10/71.74 |
% 116.10/71.74 | Using (182) and (204) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.74 | (316) ? [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))
% 116.10/71.74 |
% 116.10/71.74 | Instantiating (316) with all_5642_0_691, all_5642_1_692, all_5642_2_693, all_5642_3_694 yields:
% 116.10/71.74 | (317) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_692 & a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_691 & leq(n0, all_0_6_6) = all_5642_3_694 & leq(n0, all_0_7_7) = all_5642_2_693 & ( ~ (all_5642_2_693 = 0) | ~ (all_5642_3_694 = 0) | all_5642_0_691 = all_5642_1_692)
% 116.10/71.74 |
% 116.10/71.74 | Applying alpha-rule on (317) yields:
% 116.10/71.74 | (318) ~ (all_5642_2_693 = 0) | ~ (all_5642_3_694 = 0) | all_5642_0_691 = all_5642_1_692
% 116.10/71.74 | (319) leq(n0, all_0_7_7) = all_5642_2_693
% 116.10/71.74 | (320) a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_692
% 116.10/71.74 | (321) a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_691
% 116.10/71.74 | (322) leq(n0, all_0_6_6) = all_5642_3_694
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (109) with q_ds1_filter, all_0_6_6, all_0_7_7, all_5642_1_692, all_0_0_0 and discharging atoms a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_5642_1_692, a_select3(q_ds1_filter, all_0_6_6, all_0_7_7) = all_0_0_0, yields:
% 116.10/71.74 | (323) all_5642_1_692 = all_0_0_0
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (109) with q_ds1_filter, all_0_7_7, all_0_6_6, all_5642_0_691, all_0_1_1 and discharging atoms a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_5642_0_691, a_select3(q_ds1_filter, all_0_7_7, all_0_6_6) = all_0_1_1, yields:
% 116.10/71.74 | (324) all_5642_0_691 = all_0_1_1
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (120) with n0, all_0_6_6, all_5642_3_694, 0 and discharging atoms leq(n0, all_0_6_6) = all_5642_3_694, leq(n0, all_0_6_6) = 0, yields:
% 116.10/71.74 | (325) all_5642_3_694 = 0
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (120) with n0, all_0_7_7, all_5642_2_693, 0 and discharging atoms leq(n0, all_0_7_7) = all_5642_2_693, leq(n0, all_0_7_7) = 0, yields:
% 116.10/71.74 | (326) all_5642_2_693 = 0
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (318), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (327) ~ (all_5642_2_693 = 0)
% 116.10/71.74 |
% 116.10/71.74 | Equations (326) can reduce 327 to:
% 116.10/71.74 | (219) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (326) all_5642_2_693 = 0
% 116.10/71.74 | (330) ~ (all_5642_3_694 = 0) | all_5642_0_691 = all_5642_1_692
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (330), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (331) ~ (all_5642_3_694 = 0)
% 116.10/71.74 |
% 116.10/71.74 | Equations (325) can reduce 331 to:
% 116.10/71.74 | (219) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (325) all_5642_3_694 = 0
% 116.10/71.74 | (334) all_5642_0_691 = all_5642_1_692
% 116.10/71.74 |
% 116.10/71.74 | Combining equations (334,324) yields a new equation:
% 116.10/71.74 | (335) all_5642_1_692 = all_0_1_1
% 116.10/71.74 |
% 116.10/71.74 | Simplifying 335 yields:
% 116.10/71.74 | (336) all_5642_1_692 = all_0_1_1
% 116.10/71.74 |
% 116.10/71.74 | Combining equations (336,323) yields a new equation:
% 116.10/71.74 | (228) all_0_0_0 = all_0_1_1
% 116.10/71.74 |
% 116.10/71.74 | Equations (228) can reduce 175 to:
% 116.10/71.74 | (219) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (339) all_0_2_2 = 0 & all_0_3_3 = 0 & all_0_5_5 = 0 & all_0_6_6 = 0 & ~ (all_0_0_0 = all_0_1_1) & a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_0_0_0 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_0_1_1 & leq(all_0_4_4, all_0_11_11) = 0 & leq(all_0_7_7, all_0_11_11) = 0 & leq(n0, all_0_4_4) = 0 & leq(n0, all_0_7_7) = 0
% 116.10/71.74 |
% 116.10/71.74 | Applying alpha-rule on (339) yields:
% 116.10/71.74 | (170) leq(n0, all_0_7_7) = 0
% 116.10/71.74 | (341) a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_0_1_1
% 116.10/71.74 | (172) all_0_2_2 = 0
% 116.10/71.74 | (343) a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_0_0_0
% 116.10/71.74 | (175) ~ (all_0_0_0 = all_0_1_1)
% 116.10/71.74 | (177) all_0_5_5 = 0
% 116.10/71.74 | (346) all_0_6_6 = 0
% 116.10/71.74 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.74 | (180) all_0_3_3 = 0
% 116.10/71.74 | (349) leq(all_0_4_4, all_0_11_11) = 0
% 116.10/71.74 | (350) leq(n0, all_0_4_4) = 0
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (349) follows:
% 116.10/71.74 | (351) leq(all_0_4_4, n5) = 0
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (178) follows:
% 116.10/71.74 | (182) leq(all_0_7_7, n5) = 0
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (150), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (183) ~ (pred(n6) = all_0_8_8)
% 116.10/71.74 |
% 116.10/71.74 | From (165) and (183) follows:
% 116.10/71.74 | (184) ~ (pred(n6) = n5)
% 116.10/71.74 |
% 116.10/71.74 | Using (147) and (184) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (160) pred(n6) = all_0_8_8
% 116.10/71.74 | (164) all_0_8_8 = all_0_11_11
% 116.10/71.74 |
% 116.10/71.74 | Combining equations (164,165) yields a new equation:
% 116.10/71.74 | (188) all_0_11_11 = n5
% 116.10/71.74 |
% 116.10/71.74 | Simplifying 188 yields:
% 116.10/71.74 | (152) all_0_11_11 = n5
% 116.10/71.74 |
% 116.10/71.74 | From (165) and (160) follows:
% 116.10/71.74 | (147) pred(n6) = n5
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (151), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (183) ~ (pred(n6) = all_0_8_8)
% 116.10/71.74 |
% 116.10/71.74 | From (165) and (183) follows:
% 116.10/71.74 | (184) ~ (pred(n6) = n5)
% 116.10/71.74 |
% 116.10/71.74 | Using (147) and (184) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (160) pred(n6) = all_0_8_8
% 116.10/71.74 | (165) all_0_8_8 = n5
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (132) with all_0_7_7, all_0_4_4 yields:
% 116.10/71.74 | (366) ~ (leq(all_0_4_4, all_0_8_8) = 0) | ~ (leq(all_0_7_7, all_0_11_11) = 0) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_4_4) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v1 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v2 & leq(n0, all_0_7_7) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.74 |
% 116.10/71.74 | Instantiating formula (132) with all_0_4_4, all_0_7_7 yields:
% 116.10/71.74 | (367) ~ (leq(all_0_4_4, all_0_11_11) = 0) | ~ (leq(all_0_7_7, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v2 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v1 & leq(n0, all_0_4_4) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.74 |
% 116.10/71.74 +-Applying beta-rule and splitting (367), into two cases.
% 116.10/71.74 |-Branch one:
% 116.10/71.74 | (368) ~ (leq(all_0_4_4, all_0_11_11) = 0)
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (368) follows:
% 116.10/71.74 | (369) ~ (leq(all_0_4_4, n5) = 0)
% 116.10/71.74 |
% 116.10/71.74 | Using (351) and (369) yields:
% 116.10/71.74 | (156) $false
% 116.10/71.74 |
% 116.10/71.74 |-The branch is then unsatisfiable
% 116.10/71.74 |-Branch two:
% 116.10/71.74 | (349) leq(all_0_4_4, all_0_11_11) = 0
% 116.10/71.74 | (372) ~ (leq(all_0_7_7, all_0_8_8) = 0) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v2 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v1 & leq(n0, all_0_4_4) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.74 |
% 116.10/71.74 | From (152) and (349) follows:
% 116.10/71.75 | (351) leq(all_0_4_4, n5) = 0
% 116.10/71.75 |
% 116.10/71.75 +-Applying beta-rule and splitting (366), into two cases.
% 116.10/71.75 |-Branch one:
% 116.10/71.75 | (374) ~ (leq(all_0_4_4, all_0_8_8) = 0)
% 116.10/71.75 |
% 116.10/71.75 | From (165) and (374) follows:
% 116.10/71.75 | (369) ~ (leq(all_0_4_4, n5) = 0)
% 116.10/71.75 |
% 116.10/71.75 | Using (351) and (369) yields:
% 116.10/71.75 | (156) $false
% 116.10/71.75 |
% 116.10/71.75 |-The branch is then unsatisfiable
% 116.10/71.75 |-Branch two:
% 116.10/71.75 | (377) leq(all_0_4_4, all_0_8_8) = 0
% 116.10/71.75 | (378) ~ (leq(all_0_7_7, all_0_11_11) = 0) | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_4_4) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v1 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v2 & leq(n0, all_0_7_7) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.75 |
% 116.10/71.75 +-Applying beta-rule and splitting (372), into two cases.
% 116.10/71.75 |-Branch one:
% 116.10/71.75 | (379) ~ (leq(all_0_7_7, all_0_8_8) = 0)
% 116.10/71.75 |
% 116.10/71.75 | From (165) and (379) follows:
% 116.10/71.75 | (204) ~ (leq(all_0_7_7, n5) = 0)
% 116.10/71.75 |
% 116.10/71.75 | Using (182) and (204) yields:
% 116.10/71.75 | (156) $false
% 116.10/71.75 |
% 116.10/71.75 |-The branch is then unsatisfiable
% 116.10/71.75 |-Branch two:
% 116.10/71.75 | (382) leq(all_0_7_7, all_0_8_8) = 0
% 116.10/71.75 | (383) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v2 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v1 & leq(n0, all_0_4_4) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.75 |
% 116.10/71.75 | Instantiating (383) with all_5642_0_702, all_5642_1_703, all_5642_2_704 yields:
% 116.10/71.75 | (384) ( ~ (all_5642_2_704 = 0) & leq(n0, all_0_7_7) = all_5642_2_704) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5642_0_702 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5642_1_703 & leq(n0, all_0_4_4) = all_5642_2_704 & ( ~ (all_5642_2_704 = 0) | all_5642_0_702 = all_5642_1_703))
% 116.10/71.75 |
% 116.10/71.75 | From (165) and (382) follows:
% 116.10/71.75 | (182) leq(all_0_7_7, n5) = 0
% 116.10/71.75 |
% 116.10/71.75 +-Applying beta-rule and splitting (378), into two cases.
% 116.10/71.75 |-Branch one:
% 116.10/71.75 | (203) ~ (leq(all_0_7_7, all_0_11_11) = 0)
% 116.10/71.75 |
% 116.10/71.75 | From (152) and (203) follows:
% 116.10/71.75 | (204) ~ (leq(all_0_7_7, n5) = 0)
% 116.10/71.75 |
% 116.10/71.75 | Using (182) and (204) yields:
% 116.10/71.75 | (156) $false
% 116.10/71.75 |
% 116.10/71.75 |-The branch is then unsatisfiable
% 116.10/71.75 |-Branch two:
% 116.10/71.75 | (178) leq(all_0_7_7, all_0_11_11) = 0
% 116.10/71.75 | (390) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & leq(n0, all_0_4_4) = v0) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = v1 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = v2 & leq(n0, all_0_7_7) = v0 & ( ~ (v0 = 0) | v2 = v1)))
% 116.10/71.75 |
% 116.10/71.75 | Instantiating (390) with all_5647_0_705, all_5647_1_706, all_5647_2_707 yields:
% 116.10/71.75 | (391) ( ~ (all_5647_2_707 = 0) & leq(n0, all_0_4_4) = all_5647_2_707) | (a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5647_1_706 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5647_0_705 & leq(n0, all_0_7_7) = all_5647_2_707 & ( ~ (all_5647_2_707 = 0) | all_5647_0_705 = all_5647_1_706))
% 116.10/71.75 |
% 116.10/71.75 +-Applying beta-rule and splitting (391), into two cases.
% 116.10/71.75 |-Branch one:
% 116.10/71.75 | (392) ~ (all_5647_2_707 = 0) & leq(n0, all_0_4_4) = all_5647_2_707
% 116.10/71.75 |
% 116.10/71.75 | Applying alpha-rule on (392) yields:
% 116.10/71.75 | (393) ~ (all_5647_2_707 = 0)
% 116.10/71.75 | (394) leq(n0, all_0_4_4) = all_5647_2_707
% 116.10/71.75 |
% 116.10/71.75 +-Applying beta-rule and splitting (384), into two cases.
% 116.10/71.75 |-Branch one:
% 116.10/71.75 | (395) ~ (all_5642_2_704 = 0) & leq(n0, all_0_7_7) = all_5642_2_704
% 116.10/71.75 |
% 116.10/71.75 | Applying alpha-rule on (395) yields:
% 116.10/71.75 | (396) ~ (all_5642_2_704 = 0)
% 116.10/71.75 | (397) leq(n0, all_0_7_7) = all_5642_2_704
% 116.10/71.75 |
% 116.10/71.75 | Instantiating formula (120) with n0, all_0_7_7, all_5642_2_704, 0 and discharging atoms leq(n0, all_0_7_7) = all_5642_2_704, leq(n0, all_0_7_7) = 0, yields:
% 116.10/71.75 | (398) all_5642_2_704 = 0
% 116.10/71.75 |
% 116.10/71.75 | Equations (398) can reduce 396 to:
% 116.10/71.75 | (219) $false
% 116.10/71.75 |
% 116.10/71.75 |-The branch is then unsatisfiable
% 116.10/71.75 |-Branch two:
% 116.10/71.75 | (400) a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5642_0_702 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5642_1_703 & leq(n0, all_0_4_4) = all_5642_2_704 & ( ~ (all_5642_2_704 = 0) | all_5642_0_702 = all_5642_1_703)
% 116.10/71.75 |
% 116.10/71.75 | Applying alpha-rule on (400) yields:
% 116.10/71.75 | (401) a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5642_0_702
% 116.10/71.75 | (402) a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5642_1_703
% 116.10/71.75 | (403) leq(n0, all_0_4_4) = all_5642_2_704
% 116.10/71.75 | (404) ~ (all_5642_2_704 = 0) | all_5642_0_702 = all_5642_1_703
% 116.10/71.75 |
% 116.10/71.75 | Instantiating formula (120) with n0, all_0_4_4, all_5647_2_707, 0 and discharging atoms leq(n0, all_0_4_4) = all_5647_2_707, leq(n0, all_0_4_4) = 0, yields:
% 116.10/71.75 | (405) all_5647_2_707 = 0
% 116.10/71.75 |
% 116.10/71.75 | Instantiating formula (120) with n0, all_0_4_4, all_5642_2_704, all_5647_2_707 and discharging atoms leq(n0, all_0_4_4) = all_5647_2_707, leq(n0, all_0_4_4) = all_5642_2_704, yields:
% 116.10/71.75 | (406) all_5647_2_707 = all_5642_2_704
% 116.10/71.75 |
% 116.10/71.75 | Combining equations (405,406) yields a new equation:
% 116.10/71.75 | (398) all_5642_2_704 = 0
% 116.10/71.75 |
% 116.10/71.75 | Combining equations (398,406) yields a new equation:
% 116.10/71.75 | (405) all_5647_2_707 = 0
% 116.10/71.75 |
% 116.10/71.75 | Equations (405) can reduce 393 to:
% 116.10/71.75 | (219) $false
% 116.10/71.75 |
% 116.10/71.75 |-The branch is then unsatisfiable
% 116.10/71.75 |-Branch two:
% 116.10/71.75 | (410) a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5647_1_706 & a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5647_0_705 & leq(n0, all_0_7_7) = all_5647_2_707 & ( ~ (all_5647_2_707 = 0) | all_5647_0_705 = all_5647_1_706)
% 116.10/71.75 |
% 116.10/71.75 | Applying alpha-rule on (410) yields:
% 116.10/71.75 | (411) a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5647_1_706
% 116.10/71.75 | (412) a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5647_0_705
% 116.10/71.75 | (413) leq(n0, all_0_7_7) = all_5647_2_707
% 116.10/71.75 | (414) ~ (all_5647_2_707 = 0) | all_5647_0_705 = all_5647_1_706
% 116.10/71.75 |
% 116.10/71.75 | Instantiating formula (109) with id_ds1_filter, all_0_4_4, all_0_7_7, all_5647_1_706, all_0_0_0 and discharging atoms a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_5647_1_706, a_select3(id_ds1_filter, all_0_4_4, all_0_7_7) = all_0_0_0, yields:
% 116.10/71.75 | (415) all_5647_1_706 = all_0_0_0
% 116.10/71.75 |
% 116.10/71.75 | Instantiating formula (109) with id_ds1_filter, all_0_7_7, all_0_4_4, all_5647_0_705, all_0_1_1 and discharging atoms a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_5647_0_705, a_select3(id_ds1_filter, all_0_7_7, all_0_4_4) = all_0_1_1, yields:
% 116.42/71.75 | (416) all_5647_0_705 = all_0_1_1
% 116.42/71.75 |
% 116.42/71.75 | Instantiating formula (120) with n0, all_0_7_7, all_5647_2_707, 0 and discharging atoms leq(n0, all_0_7_7) = all_5647_2_707, leq(n0, all_0_7_7) = 0, yields:
% 116.42/71.75 | (405) all_5647_2_707 = 0
% 116.42/71.75 |
% 116.42/71.75 +-Applying beta-rule and splitting (414), into two cases.
% 116.42/71.75 |-Branch one:
% 116.42/71.75 | (393) ~ (all_5647_2_707 = 0)
% 116.42/71.75 |
% 116.42/71.75 | Equations (405) can reduce 393 to:
% 116.42/71.75 | (219) $false
% 116.42/71.75 |
% 116.42/71.75 |-The branch is then unsatisfiable
% 116.42/71.75 |-Branch two:
% 116.42/71.75 | (405) all_5647_2_707 = 0
% 116.42/71.75 | (421) all_5647_0_705 = all_5647_1_706
% 116.42/71.75 |
% 116.42/71.75 | Combining equations (421,416) yields a new equation:
% 116.42/71.75 | (422) all_5647_1_706 = all_0_1_1
% 116.42/71.75 |
% 116.42/71.75 | Simplifying 422 yields:
% 116.42/71.75 | (423) all_5647_1_706 = all_0_1_1
% 116.42/71.75 |
% 116.42/71.75 | Combining equations (423,415) yields a new equation:
% 116.42/71.75 | (228) all_0_0_0 = all_0_1_1
% 116.42/71.75 |
% 116.42/71.75 | Equations (228) can reduce 175 to:
% 116.42/71.75 | (219) $false
% 116.42/71.75 |
% 116.42/71.75 |-The branch is then unsatisfiable
% 116.42/71.75 % SZS output end Proof for theBenchmark
% 116.42/71.75
% 116.42/71.75 71168ms
%------------------------------------------------------------------------------