TSTP Solution File: SWV030+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:49:46 EDT 2022
% Result : Theorem 26.42s 7.42s
% Output : Proof 55.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 04:00:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/0.60 ____ _
% 0.62/0.60 ___ / __ \_____(_)___ ________ __________
% 0.62/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.62/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.62/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.60
% 0.62/0.60 A Theorem Prover for First-Order Logic
% 0.62/0.60 (ePrincess v.1.0)
% 0.62/0.60
% 0.62/0.60 (c) Philipp Rümmer, 2009-2015
% 0.62/0.60 (c) Peter Backeman, 2014-2015
% 0.62/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.60 Bug reports to peter@backeman.se
% 0.62/0.60
% 0.62/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.60
% 0.62/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.25/1.07 Prover 0: Preprocessing ...
% 4.21/1.56 Prover 0: Warning: ignoring some quantifiers
% 4.21/1.59 Prover 0: Constructing countermodel ...
% 19.93/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.78/6.11 Prover 1: Preprocessing ...
% 21.77/6.31 Prover 1: Warning: ignoring some quantifiers
% 21.77/6.31 Prover 1: Constructing countermodel ...
% 26.42/7.42 Prover 1: proved (1471ms)
% 26.42/7.42 Prover 0: stopped
% 26.42/7.42
% 26.42/7.42 No countermodel exists, formula is valid
% 26.42/7.42 % SZS status Theorem for theBenchmark
% 26.42/7.42
% 26.42/7.42 Generating proof ... Warning: ignoring some quantifiers
% 54.55/19.10 found it (size 467)
% 54.55/19.10
% 54.55/19.10 % SZS output start Proof for theBenchmark
% 54.55/19.10 Assumed formulas after preprocessing and simplification:
% 54.55/19.10 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & minus(pv1376, n1) = v2 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv20, v1) = 0 & leq(pv19, v0) = 0 & leq(pv7, v0) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv7) = 0 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (tptp_mmul(v24, v25) = v26) | ~ (tptp_mmul(v17, v21) = v22) | ~ (tptp_mmul(v16, v22) = v23) | ~ (tptp_mmul(v15, v18) = v19) | ~ (tptp_mmul(v14, v19) = v20) | ~ (tptp_mmul(v13, v26) = v27) | ~ (tptp_madd(v20, v23) = v24) | ~ (tptp_madd(v12, v27) = v28) | ~ (trans(v16) = v21) | ~ (trans(v14) = v18) | ~ (trans(v13) = v25) | ~ (a_select3(v28, v29, v30) = v31) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ((v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v17, v33, v32) = v39 & a_select3(v17, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v15, v33, v32) = v39 & a_select3(v15, v32, v33) = v38 & leq(v33, v11) = 0 & leq(v32, v11) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 & ~ (v39 = v38) & a_select3(v12, v33, v32) = v39 & a_select3(v12, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v10) = v35 & leq(v29, v10) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | v36 = v31)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (tptp_const_array2(v17, v18, v16) = v19) | ~ (a_select3(v19, v10, v13) = v20) | ~ (dim(v14, v15) = v18) | ~ (dim(v11, v12) = v17) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (leq(v14, v13) = v23 & leq(v13, v15) = v24 & leq(v11, v10) = v21 & leq(v10, v12) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ? [v10] : ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) | ~ (tptp_mmul(v12, v15) = v16) | ~ (trans(v12) = v14) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v10) = v23 & leq(v17, v10) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v10) = v22 & leq(v16, v10) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update3(v14, v12, v13, v15) = v16) | ~ (a_select3(v16, v10, v11) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v24 = v15) & a_select3(v14, v18, v19) = v24 & leq(v19, v13) = 0 & leq(v18, v12) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (leq(v11, v13) = v21 & leq(v10, v12) = v19 & leq(n0, v11) = v20 & leq(n0, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v10 | v13 = v11 | ~ (tptp_update3(v14, v11, v12, v15) = v16) | ~ (a_select3(v16, v13, v12) = v17) | ? [v18] : ( ~ (v18 = v10) & a_select3(v14, v13, v12) = v18)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_update3(v11, v14, v14, v15) = v16) | ~ (a_select3(v16, v12, v13) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v10) = 0 & leq(v18, v10) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v16, v13, v12) = v24 & leq(v14, v10) = v23 & leq(v13, v10) = v21 & leq(v12, v10) = v19 & leq(n0, v14) = v22 & leq(n0, v13) = v20 & leq(n0, v12) = v18 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v24 = v17)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v13 | ~ (dim(v11, v12) = v14) | ~ (tptp_const_array1(v14, v13) = v15) | ~ (a_select2(v15, v10) = v16) | ? [v17] : ? [v18] : (leq(v11, v10) = v17 & leq(v10, v12) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v10 | v12 = v11 | ~ (tptp_update2(v13, v11, v14) = v15) | ~ (a_select2(v15, v12) = v16) | ? [v17] : ( ~ (v17 = v10) & a_select2(v13, v12) = v17)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_msub(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_madd(v11, v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v12, v11, v13) = v14) | ~ (a_select2(v14, v10) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v18 = 0 & v17 = 0 & ~ (v19 = v13) & a_select2(v12, v16) = v19 & leq(v16, v11) = 0 & leq(n0, v16) = 0) | (leq(v10, v11) = v17 & leq(n0, v10) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update3(v10, v11, v12, v13) = v14) | ~ (a_select3(v14, v11, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (tptp_update3(v15, v14, v13, v12) = v11) | ~ (tptp_update3(v15, v14, v13, v12) = v10)) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inv(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (trans(v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v10, v11, v12) = v13) | ~ (a_select2(v13, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_update2(v14, v13, v12) = v11) | ~ (tptp_update2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (sum(v14, v13, v12) = v11) | ~ (sum(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (tptp_const_array2(v14, v13, v12) = v11) | ~ (tptp_const_array2(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (a_select3(v14, v13, v12) = v11) | ~ (a_select3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (uniform_int_rnd(v11, v10) = v12) | ~ (leq(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v10) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (pred(v11) = v12) | ~ (leq(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (leq(v10, v12) = v13) | ~ (leq(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (gt(v10, v12) = v13) | ~ (gt(v10, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & gt(v11, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (minus(v13, v12) = v11) | ~ (minus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (plus(v13, v12) = v11) | ~ (plus(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_mmul(v13, v12) = v11) | ~ (tptp_mmul(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_msub(v13, v12) = v11) | ~ (tptp_msub(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_madd(v13, v12) = v11) | ~ (tptp_madd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (dim(v13, v12) = v11) | ~ (dim(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (tptp_const_array1(v13, v12) = v11) | ~ (tptp_const_array1(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (a_select2(v13, v12) = v11) | ~ (a_select2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (uniform_int_rnd(v13, v12) = v11) | ~ (uniform_int_rnd(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (geq(v13, v12) = v11) | ~ (geq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (lt(v13, v12) = v11) | ~ (lt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (gt(v13, v12) = v11) | ~ (gt(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (succ(v10) = v12) | ~ (leq(v12, v13) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = init | ~ (a_select3(simplex7_init, v11, v10) = v12) | ~ (leq(v10, n2) = 0) | ? [v13] : ? [v14] : (( ~ (v13 = 0) & leq(n0, v10) = v13) | (leq(v11, n3) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | v11 = v10 | ~ (gt(v10, v11) = v12) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (geq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (lt(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v11, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (inv(v12) = v11) | ~ (inv(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (trans(v12) = v11) | ~ (trans(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (succ(v12) = v11) | ~ (succ(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (pred(v12) = v11) | ~ (pred(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (minus(v10, v11) = v12) | ~ (leq(v12, v10) = 0) | leq(n0, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (uniform_int_rnd(v11, v10) = v12) | ? [v13] : ? [v14] : (leq(n0, v12) = v14 & leq(n0, v10) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | ~ (gt(v12, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (leq(v12, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | ~ (leq(v10, v12) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : (v11 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = n0 | ~ (sum(n0, tptp_minus_1, v10) = v11)) & ! [v10] : ! [v11] : (v11 = 0 | ~ (leq(v10, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (minus(v10, n1) = v11) | pred(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(v10, n5) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n4) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n3) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n2) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(v10, n1) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus(n5, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n4, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n3, v10) = v11) | ? [v12] : ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n2, v10) = v11) | ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (plus(n1, v10) = v11) | succ(v10) = v11) & ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | pred(v11) = v10) & ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | succ(v11) = v10) & ! [v10] : ! [v11] : ( ~ (geq(v10, v11) = 0) | leq(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (lt(v10, v11) = 0) | gt(v11, v10) = 0) & ! [v10] : ! [v11] : ( ~ (gt(v11, v10) = 0) | leq(v10, v11) = 0) & ! [v10] : (v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n5) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n4) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n3) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n2 | v10 = n1 | v10 = n0 | ~ (leq(v10, n2) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n1 | v10 = n0 | ~ (leq(v10, n1) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) & ! [v10] : (v10 = n0 | ~ (leq(n0, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & leq(v10, n0) = v11)) & ! [v10] : ( ~ (leq(v10, v2) = 0) | ? [v11] : ? [v12] : (a_select2(s_values7_init, v10) = v12 & leq(n0, v10) = v11 & ( ~ (v11 = 0) | v12 = init))) & ! [v10] : ~ (gt(v10, v10) = 0) & ((v8 = 0 & v7 = 0 & v5 = 0 & v4 = 0 & ~ (v9 = init) & a_select3(simplex7_init, v6, v3) = v9 & leq(v6, n3) = 0 & leq(v3, n2) = 0 & leq(n0, v6) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 & ~ (v6 = init) & a_select2(s_values7_init, v3) = v6 & leq(v3, v2) = 0 & leq(n0, v3) = 0)))
% 54.88/19.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 54.88/19.19 | (1) ~ (def = use) & minus(n330, n1) = all_0_8_8 & minus(n410, n1) = all_0_9_9 & minus(pv1376, n1) = all_0_7_7 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv1376, n3) = 0 & leq(pv20, all_0_8_8) = 0 & leq(pv19, all_0_9_9) = 0 & leq(pv7, all_0_9_9) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv7) = 0 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, 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 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 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] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [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] : ( ~ (leq(v0, all_0_7_7) = 0) | ? [v1] : ? [v2] : (a_select2(s_values7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ((all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_7_7) = 0 & leq(n0, all_0_6_6) = 0))
% 54.99/19.21 |
% 54.99/19.21 | Applying alpha-rule on (1) yields:
% 54.99/19.22 | (2) succ(n3) = n4
% 54.99/19.22 | (3) ? [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))
% 54.99/19.22 | (4) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 54.99/19.22 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 54.99/19.22 | (6) ? [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))))
% 54.99/19.22 | (7) gt(n330, n1) = 0
% 54.99/19.22 | (8) gt(n330, n2) = 0
% 54.99/19.22 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 54.99/19.22 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 54.99/19.22 | (11) gt(n5, n1) = 0
% 54.99/19.22 | (12) ! [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))))
% 54.99/19.22 | (13) leq(pv19, all_0_9_9) = 0
% 54.99/19.22 | (14) ? [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))))
% 54.99/19.22 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 54.99/19.22 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 54.99/19.22 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 54.99/19.22 | (18) leq(n0, pv7) = 0
% 54.99/19.22 | (19) gt(n2, n1) = 0
% 54.99/19.22 | (20) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_7_7) = 0 & leq(n0, all_0_6_6) = 0)
% 54.99/19.22 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 54.99/19.22 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 54.99/19.22 | (23) gt(n330, n0) = 0
% 54.99/19.22 | (24) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 54.99/19.22 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 54.99/19.22 | (26) gt(n410, n4) = 0
% 54.99/19.22 | (27) gt(n410, n3) = 0
% 54.99/19.22 | (28) ? [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))))
% 54.99/19.23 | (29) gt(n5, n0) = 0
% 54.99/19.23 | (30) gt(n3, n0) = 0
% 54.99/19.23 | (31) gt(n4, n3) = 0
% 54.99/19.23 | (32) gt(n2, tptp_minus_1) = 0
% 54.99/19.23 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 54.99/19.23 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 54.99/19.23 | (35) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 54.99/19.23 | (36) gt(n2, n0) = 0
% 54.99/19.23 | (37) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 54.99/19.23 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 54.99/19.23 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 54.99/19.23 | (40) leq(n0, pv20) = 0
% 54.99/19.23 | (41) gt(n1, n0) = 0
% 54.99/19.23 | (42) leq(pv20, all_0_8_8) = 0
% 54.99/19.23 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 54.99/19.23 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 54.99/19.23 | (45) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 54.99/19.23 | (46) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 54.99/19.23 | (47) gt(n1, tptp_minus_1) = 0
% 54.99/19.23 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 54.99/19.23 | (49) succ(n1) = n2
% 54.99/19.23 | (50) gt(n3, n2) = 0
% 54.99/19.23 | (51) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 54.99/19.23 | (52) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 54.99/19.23 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 54.99/19.23 | (54) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 54.99/19.23 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 54.99/19.23 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 54.99/19.23 | (57) succ(n0) = n1
% 54.99/19.23 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 54.99/19.23 | (59) minus(n410, n1) = all_0_9_9
% 54.99/19.23 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 54.99/19.23 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 54.99/19.23 | (62) gt(n410, n5) = 0
% 54.99/19.23 | (63) gt(n3, n1) = 0
% 54.99/19.23 | (64) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 54.99/19.23 | (65) leq(n0, pv19) = 0
% 54.99/19.23 | (66) ? [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))))
% 54.99/19.24 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 54.99/19.24 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 54.99/19.24 | (69) ! [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)))))
% 54.99/19.24 | (70) ! [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)))))
% 54.99/19.24 | (71) gt(n410, n1) = 0
% 54.99/19.24 | (72) gt(n410, n0) = 0
% 54.99/19.24 | (73) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 54.99/19.24 | (74) ! [v0] : ( ~ (leq(v0, all_0_7_7) = 0) | ? [v1] : ? [v2] : (a_select2(s_values7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 55.24/19.24 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 55.24/19.24 | (76) ! [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))
% 55.24/19.24 | (77) gt(n330, n5) = 0
% 55.24/19.24 | (78) ! [v0] : ~ (gt(v0, v0) = 0)
% 55.24/19.24 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 55.24/19.24 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 55.24/19.24 | (81) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 55.24/19.24 | (82) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 55.24/19.24 | (83) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 55.24/19.24 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 55.24/19.24 | (85) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 55.24/19.24 | (86) succ(n2) = n3
% 55.24/19.24 | (87) gt(n3, tptp_minus_1) = 0
% 55.24/19.24 | (88) gt(n330, n4) = 0
% 55.24/19.24 | (89) ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))))
% 55.24/19.24 | (90) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 55.24/19.24 | (91) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 55.24/19.24 | (92) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 55.24/19.24 | (93) gt(n4, tptp_minus_1) = 0
% 55.24/19.24 | (94) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 55.24/19.24 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 55.24/19.24 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 55.24/19.24 | (97) gt(n5, n2) = 0
% 55.24/19.24 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 55.24/19.24 | (99) gt(n5, n3) = 0
% 55.24/19.25 | (100) leq(pv1376, n3) = 0
% 55.24/19.25 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 55.24/19.25 | (102) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 55.24/19.25 | (103) succ(n4) = n5
% 55.24/19.25 | (104) gt(n4, n0) = 0
% 55.24/19.25 | (105) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 55.24/19.25 | (106) gt(n5, tptp_minus_1) = 0
% 55.24/19.25 | (107) gt(n5, n4) = 0
% 55.24/19.25 | (108) ! [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))
% 55.24/19.25 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 55.24/19.25 | (110) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 55.29/19.25 | (111) ! [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))))
% 55.29/19.25 | (112) gt(n330, tptp_minus_1) = 0
% 55.29/19.25 | (113) gt(n330, n3) = 0
% 55.29/19.25 | (114) ? [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))))
% 55.29/19.25 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 55.29/19.25 | (116) true
% 55.29/19.25 | (117) gt(n4, n1) = 0
% 55.29/19.25 | (118) gt(n410, n330) = 0
% 55.29/19.25 | (119) ? [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))))
% 55.29/19.25 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 55.29/19.25 | (121) leq(pv7, all_0_9_9) = 0
% 55.29/19.25 | (122) ? [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))))
% 55.29/19.26 | (123) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 55.29/19.26 | (124) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 55.29/19.26 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 55.29/19.26 | (126) leq(n0, pv1376) = 0
% 55.29/19.26 | (127) ~ (def = use)
% 55.29/19.26 | (128) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 55.29/19.26 | (129) minus(pv1376, n1) = all_0_7_7
% 55.29/19.26 | (130) succ(tptp_minus_1) = n0
% 55.29/19.26 | (131) gt(n410, n2) = 0
% 55.29/19.26 | (132) minus(n330, n1) = all_0_8_8
% 55.29/19.26 | (133) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 55.29/19.26 | (134) ? [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))
% 55.29/19.26 | (135) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 55.29/19.26 | (136) gt(n4, n2) = 0
% 55.29/19.26 | (137) ? [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))))
% 55.29/19.26 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 55.29/19.26 | (139) gt(n0, tptp_minus_1) = 0
% 55.29/19.26 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 55.29/19.26 | (141) gt(n410, tptp_minus_1) = 0
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (78) with n5 yields:
% 55.29/19.26 | (142) ~ (gt(n5, n5) = 0)
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (78) with n3 yields:
% 55.29/19.26 | (143) ~ (gt(n3, n3) = 0)
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (78) with n2 yields:
% 55.29/19.26 | (144) ~ (gt(n2, n2) = 0)
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (78) with n1 yields:
% 55.29/19.26 | (145) ~ (gt(n1, n1) = 0)
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (78) with tptp_minus_1 yields:
% 55.29/19.26 | (146) ~ (gt(tptp_minus_1, tptp_minus_1) = 0)
% 55.29/19.26 |
% 55.29/19.26 | Using (29) and (142) yields:
% 55.29/19.26 | (147) ~ (n5 = n0)
% 55.29/19.26 |
% 55.29/19.26 | Using (63) and (143) yields:
% 55.29/19.26 | (148) ~ (n3 = n1)
% 55.29/19.26 |
% 55.29/19.26 | Using (30) and (143) yields:
% 55.29/19.26 | (149) ~ (n3 = n0)
% 55.29/19.26 |
% 55.29/19.26 | Using (47) and (145) yields:
% 55.29/19.26 | (150) ~ (n1 = tptp_minus_1)
% 55.29/19.26 |
% 55.29/19.26 | Using (41) and (145) yields:
% 55.29/19.26 | (151) ~ (n1 = n0)
% 55.29/19.26 |
% 55.29/19.26 | Using (139) and (146) yields:
% 55.29/19.26 | (152) ~ (tptp_minus_1 = n0)
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (37) with all_0_9_9, n410 and discharging atoms minus(n410, n1) = all_0_9_9, yields:
% 55.29/19.26 | (153) pred(n410) = all_0_9_9
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (37) with all_0_7_7, pv1376 and discharging atoms minus(pv1376, n1) = all_0_7_7, yields:
% 55.29/19.26 | (154) pred(pv1376) = all_0_7_7
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (52) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 55.29/19.26 | (155) pred(n3) = n2
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (52) with n2, n1 and discharging atoms succ(n1) = n2, yields:
% 55.29/19.26 | (156) pred(n2) = n1
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (52) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 55.29/19.26 | (157) pred(n0) = tptp_minus_1
% 55.29/19.26 |
% 55.29/19.26 | Instantiating formula (52) with n1, n0 and discharging atoms succ(n0) = n1, yields:
% 55.29/19.26 | (158) pred(n1) = n0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (46) with pv1376 and discharging atoms leq(pv1376, n3) = 0, yields:
% 55.29/19.27 | (159) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | pv1376 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (81) with n3 yields:
% 55.29/19.27 | (160) n3 = n0 | ~ (leq(n0, n3) = 0) | ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (74) with pv1376 yields:
% 55.29/19.27 | (161) ~ (leq(pv1376, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, pv1376) = v1 & leq(n0, pv1376) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (61) with n0, pv1376, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, leq(n0, pv1376) = 0, yields:
% 55.29/19.27 | (162) gt(pv1376, tptp_minus_1) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (81) with pv1376 and discharging atoms leq(n0, pv1376) = 0, yields:
% 55.29/19.27 | (163) pv1376 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(pv1376, n0) = v0)
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (74) with n0 yields:
% 55.29/19.27 | (164) ~ (leq(n0, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n330, n3 and discharging atoms gt(n330, n3) = 0, yields:
% 55.29/19.27 | (165) leq(n3, n330) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n410, n3 and discharging atoms gt(n410, n3) = 0, yields:
% 55.29/19.27 | (166) leq(n3, n410) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n410, n0 and discharging atoms gt(n410, n0) = 0, yields:
% 55.29/19.27 | (167) leq(n0, n410) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n5, n3 and discharging atoms gt(n5, n3) = 0, yields:
% 55.29/19.27 | (168) leq(n3, n5) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n5, n0 and discharging atoms gt(n5, n0) = 0, yields:
% 55.29/19.27 | (169) leq(n0, n5) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n4, n3 and discharging atoms gt(n4, n3) = 0, yields:
% 55.29/19.27 | (170) leq(n3, n4) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n3, n0 and discharging atoms gt(n3, n0) = 0, yields:
% 55.29/19.27 | (171) leq(n0, n3) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 55.29/19.27 | (172) leq(n0, n2) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n1, tptp_minus_1 and discharging atoms gt(n1, tptp_minus_1) = 0, yields:
% 55.29/19.27 | (173) leq(tptp_minus_1, n1) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (21) with n1, n0, n0 and discharging atoms succ(n0) = n1, gt(n1, n0) = 0, yields:
% 55.29/19.27 | (174) leq(n0, n0) = 0
% 55.29/19.27 |
% 55.29/19.27 | Instantiating formula (4) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 55.29/19.27 | (175) leq(n0, n1) = 0
% 55.29/19.27 |
% 55.29/19.27 +-Applying beta-rule and splitting (160), into two cases.
% 55.29/19.27 |-Branch one:
% 55.29/19.27 | (176) ~ (leq(n0, n3) = 0)
% 55.29/19.27 |
% 55.29/19.27 | Using (171) and (176) yields:
% 55.29/19.27 | (177) $false
% 55.29/19.27 |
% 55.29/19.27 |-The branch is then unsatisfiable
% 55.29/19.27 |-Branch two:
% 55.29/19.27 | (171) leq(n0, n3) = 0
% 55.29/19.27 | (179) n3 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 55.29/19.27 |
% 55.29/19.27 +-Applying beta-rule and splitting (179), into two cases.
% 55.29/19.27 |-Branch one:
% 55.29/19.27 | (180) n3 = n0
% 55.29/19.27 |
% 55.29/19.27 | Equations (180) can reduce 149 to:
% 55.29/19.27 | (181) $false
% 55.29/19.27 |
% 55.29/19.27 |-The branch is then unsatisfiable
% 55.29/19.27 |-Branch two:
% 55.29/19.27 | (149) ~ (n3 = n0)
% 55.29/19.27 | (183) ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 55.29/19.27 |
% 55.29/19.27 | Instantiating (183) with all_45_0_22 yields:
% 55.29/19.27 | (184) ~ (all_45_0_22 = 0) & leq(n3, n0) = all_45_0_22
% 55.29/19.28 |
% 55.29/19.28 | Applying alpha-rule on (184) yields:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (186) leq(n3, n0) = all_45_0_22
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (10) with n3, n2, all_0_7_7 and discharging atoms pred(n3) = n2, yields:
% 55.29/19.28 | (187) all_0_7_7 = n2 | ~ (pred(n3) = all_0_7_7)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (10) with n2, n1, all_0_7_7 and discharging atoms pred(n2) = n1, yields:
% 55.29/19.28 | (188) all_0_7_7 = n1 | ~ (pred(n2) = all_0_7_7)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (10) with n1, n0, all_0_7_7 and discharging atoms pred(n1) = n0, yields:
% 55.29/19.28 | (189) all_0_7_7 = n0 | ~ (pred(n1) = all_0_7_7)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (10) with n0, tptp_minus_1, all_0_7_7 and discharging atoms pred(n0) = tptp_minus_1, yields:
% 55.29/19.28 | (190) all_0_7_7 = tptp_minus_1 | ~ (pred(n0) = all_0_7_7)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (51) with all_0_9_9, n410 and discharging atoms pred(n410) = all_0_9_9, yields:
% 55.29/19.28 | (191) succ(all_0_9_9) = n410
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (51) with all_0_7_7, pv1376 and discharging atoms pred(pv1376) = all_0_7_7, yields:
% 55.29/19.28 | (192) succ(all_0_7_7) = pv1376
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (74) with n3 yields:
% 55.29/19.28 | (193) ~ (leq(n3, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (96) with all_45_0_22, n0, n3, tptp_minus_1, n2 and discharging atoms succ(n2) = n3, succ(tptp_minus_1) = n0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (194) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n2, tptp_minus_1) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (55) with all_45_0_22, n0, tptp_minus_1, n3 and discharging atoms succ(tptp_minus_1) = n0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (195) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (43) with all_45_0_22, n0, n1, n3 and discharging atoms pred(n1) = n0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (196) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n1, n3) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (15) with all_45_0_22, n0, n330, n3 and discharging atoms leq(n3, n330) = 0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (197) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n330, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (15) with all_45_0_22, n0, n410, n3 and discharging atoms leq(n3, n410) = 0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (198) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n410, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (15) with all_45_0_22, n0, n5, n3 and discharging atoms leq(n3, n5) = 0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (199) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (15) with all_45_0_22, n0, n4, n3 and discharging atoms leq(n3, n4) = 0, leq(n3, n0) = all_45_0_22, yields:
% 55.29/19.28 | (200) all_45_0_22 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (74) with n2 yields:
% 55.29/19.28 | (201) ~ (leq(n2, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (74) with tptp_minus_1 yields:
% 55.29/19.28 | (202) ~ (leq(tptp_minus_1, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (110) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n1) = 0, yields:
% 55.29/19.28 | (203) n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (81) with n5 and discharging atoms leq(n0, n5) = 0, yields:
% 55.29/19.28 | (204) n5 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating formula (81) with n1 and discharging atoms leq(n0, n1) = 0, yields:
% 55.29/19.28 | (205) n1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 +-Applying beta-rule and splitting (195), into two cases.
% 55.29/19.28 |-Branch one:
% 55.29/19.28 | (206) all_45_0_22 = 0
% 55.29/19.28 |
% 55.29/19.28 | Equations (206) can reduce 185 to:
% 55.29/19.28 | (181) $false
% 55.29/19.28 |
% 55.29/19.28 |-The branch is then unsatisfiable
% 55.29/19.28 |-Branch two:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (209) ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 55.29/19.28 |
% 55.29/19.28 +-Applying beta-rule and splitting (197), into two cases.
% 55.29/19.28 |-Branch one:
% 55.29/19.28 | (206) all_45_0_22 = 0
% 55.29/19.28 |
% 55.29/19.28 | Equations (206) can reduce 185 to:
% 55.29/19.28 | (181) $false
% 55.29/19.28 |
% 55.29/19.28 |-The branch is then unsatisfiable
% 55.29/19.28 |-Branch two:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (213) ? [v0] : ( ~ (v0 = 0) & leq(n330, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 +-Applying beta-rule and splitting (194), into two cases.
% 55.29/19.28 |-Branch one:
% 55.29/19.28 | (206) all_45_0_22 = 0
% 55.29/19.28 |
% 55.29/19.28 | Equations (206) can reduce 185 to:
% 55.29/19.28 | (181) $false
% 55.29/19.28 |
% 55.29/19.28 |-The branch is then unsatisfiable
% 55.29/19.28 |-Branch two:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (217) ? [v0] : ( ~ (v0 = 0) & leq(n2, tptp_minus_1) = v0)
% 55.29/19.28 |
% 55.29/19.28 +-Applying beta-rule and splitting (198), into two cases.
% 55.29/19.28 |-Branch one:
% 55.29/19.28 | (206) all_45_0_22 = 0
% 55.29/19.28 |
% 55.29/19.28 | Equations (206) can reduce 185 to:
% 55.29/19.28 | (181) $false
% 55.29/19.28 |
% 55.29/19.28 |-The branch is then unsatisfiable
% 55.29/19.28 |-Branch two:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (221) ? [v0] : ( ~ (v0 = 0) & leq(n410, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 +-Applying beta-rule and splitting (199), into two cases.
% 55.29/19.28 |-Branch one:
% 55.29/19.28 | (206) all_45_0_22 = 0
% 55.29/19.28 |
% 55.29/19.28 | Equations (206) can reduce 185 to:
% 55.29/19.28 | (181) $false
% 55.29/19.28 |
% 55.29/19.28 |-The branch is then unsatisfiable
% 55.29/19.28 |-Branch two:
% 55.29/19.28 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.28 | (225) ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 55.29/19.28 |
% 55.29/19.28 | Instantiating (225) with all_84_0_27 yields:
% 55.29/19.29 | (226) ~ (all_84_0_27 = 0) & leq(n5, n0) = all_84_0_27
% 55.29/19.29 |
% 55.29/19.29 | Applying alpha-rule on (226) yields:
% 55.29/19.29 | (227) ~ (all_84_0_27 = 0)
% 55.29/19.29 | (228) leq(n5, n0) = all_84_0_27
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (200), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (206) all_45_0_22 = 0
% 55.29/19.29 |
% 55.29/19.29 | Equations (206) can reduce 185 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.29 | (232) ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (204), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (233) n5 = n0
% 55.29/19.29 |
% 55.29/19.29 | Equations (233) can reduce 147 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (147) ~ (n5 = n0)
% 55.29/19.29 | (225) ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating (225) with all_109_0_32 yields:
% 55.29/19.29 | (237) ~ (all_109_0_32 = 0) & leq(n5, n0) = all_109_0_32
% 55.29/19.29 |
% 55.29/19.29 | Applying alpha-rule on (237) yields:
% 55.29/19.29 | (238) ~ (all_109_0_32 = 0)
% 55.29/19.29 | (239) leq(n5, n0) = all_109_0_32
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (205), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (240) n1 = n0
% 55.29/19.29 |
% 55.29/19.29 | Equations (240) can reduce 151 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (151) ~ (n1 = n0)
% 55.29/19.29 | (243) ? [v0] : ( ~ (v0 = 0) & leq(n1, n0) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating (243) with all_114_0_33 yields:
% 55.29/19.29 | (244) ~ (all_114_0_33 = 0) & leq(n1, n0) = all_114_0_33
% 55.29/19.29 |
% 55.29/19.29 | Applying alpha-rule on (244) yields:
% 55.29/19.29 | (245) ~ (all_114_0_33 = 0)
% 55.29/19.29 | (246) leq(n1, n0) = all_114_0_33
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (196), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (206) all_45_0_22 = 0
% 55.29/19.29 |
% 55.29/19.29 | Equations (206) can reduce 185 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (185) ~ (all_45_0_22 = 0)
% 55.29/19.29 | (250) ? [v0] : ( ~ (v0 = 0) & gt(n1, n3) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating (250) with all_124_0_35 yields:
% 55.29/19.29 | (251) ~ (all_124_0_35 = 0) & gt(n1, n3) = all_124_0_35
% 55.29/19.29 |
% 55.29/19.29 | Applying alpha-rule on (251) yields:
% 55.29/19.29 | (252) ~ (all_124_0_35 = 0)
% 55.29/19.29 | (253) gt(n1, n3) = all_124_0_35
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (203), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (254) tptp_minus_1 = n0
% 55.29/19.29 |
% 55.29/19.29 | Equations (254) can reduce 152 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (152) ~ (tptp_minus_1 = n0)
% 55.29/19.29 | (257) n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 55.29/19.29 |
% 55.29/19.29 +-Applying beta-rule and splitting (257), into two cases.
% 55.29/19.29 |-Branch one:
% 55.29/19.29 | (258) n1 = tptp_minus_1
% 55.29/19.29 |
% 55.29/19.29 | Equations (258) can reduce 150 to:
% 55.29/19.29 | (181) $false
% 55.29/19.29 |
% 55.29/19.29 |-The branch is then unsatisfiable
% 55.29/19.29 |-Branch two:
% 55.29/19.29 | (150) ~ (n1 = tptp_minus_1)
% 55.29/19.29 | (261) ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating (261) with all_148_0_36 yields:
% 55.29/19.29 | (262) ~ (all_148_0_36 = 0) & leq(n0, tptp_minus_1) = all_148_0_36
% 55.29/19.29 |
% 55.29/19.29 | Applying alpha-rule on (262) yields:
% 55.29/19.29 | (263) ~ (all_148_0_36 = 0)
% 55.29/19.29 | (264) leq(n0, tptp_minus_1) = all_148_0_36
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (38) with n0, pv1376, n1 and discharging atoms succ(n0) = n1, yields:
% 55.29/19.29 | (265) pv1376 = n1 | ~ (succ(n0) = pv1376)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (53) with n5, n0, all_84_0_27, all_109_0_32 and discharging atoms leq(n5, n0) = all_109_0_32, leq(n5, n0) = all_84_0_27, yields:
% 55.29/19.29 | (266) all_109_0_32 = all_84_0_27
% 55.29/19.29 |
% 55.29/19.29 | From (266) and (239) follows:
% 55.29/19.29 | (228) leq(n5, n0) = all_84_0_27
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (125) with n2, n0, n1, all_0_7_7 and discharging atoms succ(n1) = n2, leq(n0, n2) = 0, yields:
% 55.29/19.29 | (268) ~ (succ(all_0_7_7) = n0) | leq(all_0_7_7, n1) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (61) with n0, n0, all_0_7_7 and discharging atoms leq(n0, n0) = 0, yields:
% 55.29/19.29 | (269) ~ (succ(all_0_7_7) = n0) | gt(n0, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (61) with n0, pv7, all_0_7_7 and discharging atoms leq(n0, pv7) = 0, yields:
% 55.29/19.29 | (270) ~ (succ(all_0_7_7) = n0) | gt(pv7, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with pv1376, all_0_7_7, n3 and discharging atoms succ(all_0_7_7) = pv1376, yields:
% 55.29/19.29 | (271) ~ (gt(pv1376, n3) = 0) | leq(n3, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with pv1376, all_0_7_7, n2 and discharging atoms succ(all_0_7_7) = pv1376, yields:
% 55.29/19.29 | (272) ~ (gt(pv1376, n2) = 0) | leq(n2, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with pv1376, all_0_7_7, tptp_minus_1 and discharging atoms succ(all_0_7_7) = pv1376, gt(pv1376, tptp_minus_1) = 0, yields:
% 55.29/19.29 | (273) leq(tptp_minus_1, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with n3, all_0_7_7, n2 and discharging atoms gt(n3, n2) = 0, yields:
% 55.29/19.29 | (274) ~ (succ(all_0_7_7) = n3) | leq(n2, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with n3, all_0_7_7, n0 and discharging atoms gt(n3, n0) = 0, yields:
% 55.29/19.29 | (275) ~ (succ(all_0_7_7) = n3) | leq(n0, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with n2, all_0_7_7, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 55.29/19.29 | (276) ~ (succ(all_0_7_7) = n2) | leq(n0, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (21) with n1, all_0_7_7, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 55.29/19.29 | (277) ~ (succ(all_0_7_7) = n1) | leq(n0, all_0_7_7) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (125) with n410, n0, all_0_9_9, all_0_7_7 and discharging atoms succ(all_0_9_9) = n410, leq(n0, n410) = 0, yields:
% 55.29/19.29 | (278) ~ (succ(all_0_7_7) = n0) | leq(all_0_7_7, all_0_9_9) = 0
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (55) with all_84_0_27, n0, all_0_7_7, n5 and discharging atoms leq(n5, n0) = all_84_0_27, yields:
% 55.29/19.29 | (279) all_84_0_27 = 0 | ~ (succ(all_0_7_7) = n0) | ? [v0] : ( ~ (v0 = 0) & leq(n5, all_0_7_7) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (96) with all_114_0_33, n0, n1, all_0_7_7, n0 and discharging atoms succ(n0) = n1, leq(n1, n0) = all_114_0_33, yields:
% 55.29/19.29 | (280) all_114_0_33 = 0 | ~ (succ(all_0_7_7) = n0) | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (55) with all_114_0_33, n0, all_0_7_7, n1 and discharging atoms leq(n1, n0) = all_114_0_33, yields:
% 55.29/19.29 | (281) all_114_0_33 = 0 | ~ (succ(all_0_7_7) = n0) | ? [v0] : ( ~ (v0 = 0) & leq(n1, all_0_7_7) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (43) with all_114_0_33, n0, n1, n1 and discharging atoms pred(n1) = n0, leq(n1, n0) = all_114_0_33, yields:
% 55.29/19.29 | (282) all_114_0_33 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n1, n1) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (43) with all_148_0_36, tptp_minus_1, n0, n0 and discharging atoms pred(n0) = tptp_minus_1, leq(n0, tptp_minus_1) = all_148_0_36, yields:
% 55.29/19.29 | (283) all_148_0_36 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 55.29/19.29 |
% 55.29/19.29 | Instantiating formula (15) with all_148_0_36, tptp_minus_1, pv1376, n0 and discharging atoms leq(n0, pv1376) = 0, leq(n0, tptp_minus_1) = all_148_0_36, yields:
% 55.29/19.30 | (284) all_148_0_36 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(pv1376, tptp_minus_1) = v0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (15) with all_148_0_36, tptp_minus_1, n1, n0 and discharging atoms leq(n0, n1) = 0, leq(n0, tptp_minus_1) = all_148_0_36, yields:
% 55.29/19.30 | (285) all_148_0_36 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (60) with all_124_0_35, n3, n0, n1 and discharging atoms gt(n1, n3) = all_124_0_35, gt(n1, n0) = 0, yields:
% 55.29/19.30 | (286) all_124_0_35 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n3) = v0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (24) with all_124_0_35, n1, n3 and discharging atoms gt(n1, n3) = all_124_0_35, yields:
% 55.29/19.30 | (287) all_124_0_35 = 0 | n3 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (285), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (288) all_148_0_36 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (288) can reduce 263 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (263) ~ (all_148_0_36 = 0)
% 55.29/19.30 | (291) ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (283), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (288) all_148_0_36 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (288) can reduce 263 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (263) ~ (all_148_0_36 = 0)
% 55.29/19.30 | (295) ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (284), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (288) all_148_0_36 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (288) can reduce 263 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (263) ~ (all_148_0_36 = 0)
% 55.29/19.30 | (299) ? [v0] : ( ~ (v0 = 0) & leq(pv1376, tptp_minus_1) = v0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating (299) with all_286_0_50 yields:
% 55.29/19.30 | (300) ~ (all_286_0_50 = 0) & leq(pv1376, tptp_minus_1) = all_286_0_50
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (300) yields:
% 55.29/19.30 | (301) ~ (all_286_0_50 = 0)
% 55.29/19.30 | (302) leq(pv1376, tptp_minus_1) = all_286_0_50
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (286), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (303) all_124_0_35 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (303) can reduce 252 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (252) ~ (all_124_0_35 = 0)
% 55.29/19.30 | (306) ? [v0] : ( ~ (v0 = 0) & gt(n0, n3) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (282), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (307) all_114_0_33 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (307) can reduce 245 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (245) ~ (all_114_0_33 = 0)
% 55.29/19.30 | (310) ? [v0] : ( ~ (v0 = 0) & gt(n1, n1) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (287), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (303) all_124_0_35 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (303) can reduce 252 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (252) ~ (all_124_0_35 = 0)
% 55.29/19.30 | (314) n3 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (202), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (315) ~ (leq(tptp_minus_1, all_0_7_7) = 0)
% 55.29/19.30 |
% 55.29/19.30 | Using (273) and (315) yields:
% 55.29/19.30 | (177) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (273) leq(tptp_minus_1, all_0_7_7) = 0
% 55.29/19.30 | (318) ? [v0] : ? [v1] : (a_select2(s_values7_init, tptp_minus_1) = v1 & leq(n0, tptp_minus_1) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.29/19.30 |
% 55.29/19.30 | Instantiating (318) with all_402_0_63, all_402_1_64 yields:
% 55.29/19.30 | (319) a_select2(s_values7_init, tptp_minus_1) = all_402_0_63 & leq(n0, tptp_minus_1) = all_402_1_64 & ( ~ (all_402_1_64 = 0) | all_402_0_63 = init)
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (319) yields:
% 55.29/19.30 | (320) a_select2(s_values7_init, tptp_minus_1) = all_402_0_63
% 55.29/19.30 | (321) leq(n0, tptp_minus_1) = all_402_1_64
% 55.29/19.30 | (322) ~ (all_402_1_64 = 0) | all_402_0_63 = init
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (314), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (323) n3 = n1
% 55.29/19.30 |
% 55.29/19.30 | Equations (323) can reduce 148 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (148) ~ (n3 = n1)
% 55.29/19.30 | (326) ? [v0] : ( ~ (v0 = 0) & leq(n3, n1) = v0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating (326) with all_452_0_74 yields:
% 55.29/19.30 | (327) ~ (all_452_0_74 = 0) & leq(n3, n1) = all_452_0_74
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (327) yields:
% 55.29/19.30 | (328) ~ (all_452_0_74 = 0)
% 55.29/19.30 | (329) leq(n3, n1) = all_452_0_74
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (53) with n3, n1, all_452_0_74, 0 and discharging atoms leq(n3, n1) = all_452_0_74, yields:
% 55.29/19.30 | (330) all_452_0_74 = 0 | ~ (leq(n3, n1) = 0)
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (53) with n0, tptp_minus_1, all_402_1_64, all_148_0_36 and discharging atoms leq(n0, tptp_minus_1) = all_402_1_64, leq(n0, tptp_minus_1) = all_148_0_36, yields:
% 55.29/19.30 | (331) all_402_1_64 = all_148_0_36
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (53) with n0, tptp_minus_1, all_402_1_64, all_286_0_50 and discharging atoms leq(n0, tptp_minus_1) = all_402_1_64, yields:
% 55.29/19.30 | (332) all_402_1_64 = all_286_0_50 | ~ (leq(n0, tptp_minus_1) = all_286_0_50)
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (20), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (333) all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (333) yields:
% 55.29/19.30 | (334) all_0_1_1 = 0
% 55.29/19.30 | (335) leq(all_0_3_3, n3) = 0
% 55.29/19.30 | (336) leq(n0, all_0_3_3) = 0
% 55.29/19.30 | (337) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 55.29/19.30 | (338) all_0_2_2 = 0
% 55.29/19.30 | (339) all_0_5_5 = 0
% 55.29/19.30 | (340) all_0_4_4 = 0
% 55.29/19.30 | (341) leq(n0, all_0_6_6) = 0
% 55.29/19.30 | (342) ~ (all_0_0_0 = init)
% 55.29/19.30 | (343) leq(all_0_6_6, n2) = 0
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (89) with all_0_0_0, all_0_3_3, all_0_6_6 and discharging atoms a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0, leq(all_0_6_6, n2) = 0, yields:
% 55.29/19.30 | (344) all_0_0_0 = init | ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (344), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (345) all_0_0_0 = init
% 55.29/19.30 |
% 55.29/19.30 | Equations (345) can reduce 342 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (342) ~ (all_0_0_0 = init)
% 55.29/19.30 | (348) ? [v0] : ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 55.29/19.30 |
% 55.29/19.30 | Instantiating (348) with all_978_0_99, all_978_1_100 yields:
% 55.29/19.30 | (349) ( ~ (all_978_1_100 = 0) & leq(n0, all_0_6_6) = all_978_1_100) | (leq(all_0_3_3, n3) = all_978_0_99 & leq(n0, all_0_3_3) = all_978_1_100 & ( ~ (all_978_0_99 = 0) | ~ (all_978_1_100 = 0)))
% 55.29/19.30 |
% 55.29/19.30 +-Applying beta-rule and splitting (349), into two cases.
% 55.29/19.30 |-Branch one:
% 55.29/19.30 | (350) ~ (all_978_1_100 = 0) & leq(n0, all_0_6_6) = all_978_1_100
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (350) yields:
% 55.29/19.30 | (351) ~ (all_978_1_100 = 0)
% 55.29/19.30 | (352) leq(n0, all_0_6_6) = all_978_1_100
% 55.29/19.30 |
% 55.29/19.30 | Instantiating formula (53) with n0, all_0_6_6, all_978_1_100, 0 and discharging atoms leq(n0, all_0_6_6) = all_978_1_100, leq(n0, all_0_6_6) = 0, yields:
% 55.29/19.30 | (353) all_978_1_100 = 0
% 55.29/19.30 |
% 55.29/19.30 | Equations (353) can reduce 351 to:
% 55.29/19.30 | (181) $false
% 55.29/19.30 |
% 55.29/19.30 |-The branch is then unsatisfiable
% 55.29/19.30 |-Branch two:
% 55.29/19.30 | (355) leq(all_0_3_3, n3) = all_978_0_99 & leq(n0, all_0_3_3) = all_978_1_100 & ( ~ (all_978_0_99 = 0) | ~ (all_978_1_100 = 0))
% 55.29/19.30 |
% 55.29/19.30 | Applying alpha-rule on (355) yields:
% 55.29/19.30 | (356) leq(all_0_3_3, n3) = all_978_0_99
% 55.29/19.31 | (357) leq(n0, all_0_3_3) = all_978_1_100
% 55.29/19.31 | (358) ~ (all_978_0_99 = 0) | ~ (all_978_1_100 = 0)
% 55.29/19.31 |
% 55.29/19.31 | Instantiating formula (53) with all_0_3_3, n3, all_978_0_99, 0 and discharging atoms leq(all_0_3_3, n3) = all_978_0_99, leq(all_0_3_3, n3) = 0, yields:
% 55.29/19.31 | (359) all_978_0_99 = 0
% 55.29/19.31 |
% 55.29/19.31 | Instantiating formula (53) with n0, all_0_3_3, all_978_1_100, 0 and discharging atoms leq(n0, all_0_3_3) = all_978_1_100, leq(n0, all_0_3_3) = 0, yields:
% 55.29/19.31 | (353) all_978_1_100 = 0
% 55.29/19.31 |
% 55.29/19.31 +-Applying beta-rule and splitting (358), into two cases.
% 55.29/19.31 |-Branch one:
% 55.29/19.31 | (361) ~ (all_978_0_99 = 0)
% 55.29/19.31 |
% 55.57/19.31 | Equations (359) can reduce 361 to:
% 55.57/19.31 | (181) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (359) all_978_0_99 = 0
% 55.57/19.31 | (351) ~ (all_978_1_100 = 0)
% 55.57/19.31 |
% 55.57/19.31 | Equations (353) can reduce 351 to:
% 55.57/19.31 | (181) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (366) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_7_7) = 0 & leq(n0, all_0_6_6) = 0
% 55.57/19.31 |
% 55.57/19.31 | Applying alpha-rule on (366) yields:
% 55.57/19.31 | (367) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 55.57/19.31 | (368) leq(all_0_6_6, all_0_7_7) = 0
% 55.57/19.31 | (369) ~ (all_0_3_3 = init)
% 55.57/19.31 | (339) all_0_5_5 = 0
% 55.57/19.31 | (340) all_0_4_4 = 0
% 55.57/19.31 | (341) leq(n0, all_0_6_6) = 0
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (164), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (373) ~ (leq(n0, all_0_7_7) = 0)
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (275), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (374) leq(n0, all_0_7_7) = 0
% 55.57/19.31 |
% 55.57/19.31 | Using (374) and (373) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (373) ~ (leq(n0, all_0_7_7) = 0)
% 55.57/19.31 | (377) ~ (succ(all_0_7_7) = n3)
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (277), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (374) leq(n0, all_0_7_7) = 0
% 55.57/19.31 |
% 55.57/19.31 | Using (374) and (373) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (373) ~ (leq(n0, all_0_7_7) = 0)
% 55.57/19.31 | (381) ~ (succ(all_0_7_7) = n1)
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (276), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (374) leq(n0, all_0_7_7) = 0
% 55.57/19.31 |
% 55.57/19.31 | Using (374) and (373) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (373) ~ (leq(n0, all_0_7_7) = 0)
% 55.57/19.31 | (385) ~ (succ(all_0_7_7) = n2)
% 55.57/19.31 |
% 55.57/19.31 | Using (192) and (377) yields:
% 55.57/19.31 | (386) ~ (pv1376 = n3)
% 55.57/19.31 |
% 55.57/19.31 | Using (192) and (385) yields:
% 55.57/19.31 | (387) ~ (pv1376 = n2)
% 55.57/19.31 |
% 55.57/19.31 | Using (192) and (381) yields:
% 55.57/19.31 | (388) ~ (pv1376 = n1)
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (159), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (389) pv1376 = n0
% 55.57/19.31 |
% 55.57/19.31 | From (389) and (154) follows:
% 55.57/19.31 | (390) pred(n0) = all_0_7_7
% 55.57/19.31 |
% 55.57/19.31 | From (389) and (302) follows:
% 55.57/19.31 | (391) leq(n0, tptp_minus_1) = all_286_0_50
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (190), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (392) ~ (pred(n0) = all_0_7_7)
% 55.57/19.31 |
% 55.57/19.31 | Using (390) and (392) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (390) pred(n0) = all_0_7_7
% 55.57/19.31 | (395) all_0_7_7 = tptp_minus_1
% 55.57/19.31 |
% 55.57/19.31 | From (395) and (368) follows:
% 55.57/19.31 | (396) leq(all_0_6_6, tptp_minus_1) = 0
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (332), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (397) ~ (leq(n0, tptp_minus_1) = all_286_0_50)
% 55.57/19.31 |
% 55.57/19.31 | Using (391) and (397) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (391) leq(n0, tptp_minus_1) = all_286_0_50
% 55.57/19.31 | (400) all_402_1_64 = all_286_0_50
% 55.57/19.31 |
% 55.57/19.31 | Combining equations (331,400) yields a new equation:
% 55.57/19.31 | (401) all_286_0_50 = all_148_0_36
% 55.57/19.31 |
% 55.57/19.31 | Equations (401) can reduce 301 to:
% 55.57/19.31 | (263) ~ (all_148_0_36 = 0)
% 55.57/19.31 |
% 55.57/19.31 | From (401) and (391) follows:
% 55.57/19.31 | (264) leq(n0, tptp_minus_1) = all_148_0_36
% 55.57/19.31 |
% 55.57/19.31 | Instantiating formula (74) with all_0_6_6 yields:
% 55.57/19.31 | (404) ~ (leq(all_0_6_6, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.31 |
% 55.57/19.31 | Instantiating formula (15) with all_148_0_36, tptp_minus_1, all_0_6_6, n0 and discharging atoms leq(n0, all_0_6_6) = 0, leq(n0, tptp_minus_1) = all_148_0_36, yields:
% 55.57/19.31 | (405) all_148_0_36 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (404), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (406) ~ (leq(all_0_6_6, all_0_7_7) = 0)
% 55.57/19.31 |
% 55.57/19.31 | From (395) and (406) follows:
% 55.57/19.31 | (407) ~ (leq(all_0_6_6, tptp_minus_1) = 0)
% 55.57/19.31 |
% 55.57/19.31 | Using (396) and (407) yields:
% 55.57/19.31 | (177) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (368) leq(all_0_6_6, all_0_7_7) = 0
% 55.57/19.31 | (410) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.31 |
% 55.57/19.31 | From (395) and (368) follows:
% 55.57/19.31 | (396) leq(all_0_6_6, tptp_minus_1) = 0
% 55.57/19.31 |
% 55.57/19.31 +-Applying beta-rule and splitting (405), into two cases.
% 55.57/19.31 |-Branch one:
% 55.57/19.31 | (288) all_148_0_36 = 0
% 55.57/19.31 |
% 55.57/19.31 | Equations (288) can reduce 263 to:
% 55.57/19.31 | (181) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.31 |-Branch two:
% 55.57/19.31 | (263) ~ (all_148_0_36 = 0)
% 55.57/19.31 | (415) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 55.57/19.31 |
% 55.57/19.31 | Instantiating (415) with all_1023_0_357 yields:
% 55.57/19.31 | (416) ~ (all_1023_0_357 = 0) & leq(all_0_6_6, tptp_minus_1) = all_1023_0_357
% 55.57/19.31 |
% 55.57/19.31 | Applying alpha-rule on (416) yields:
% 55.57/19.31 | (417) ~ (all_1023_0_357 = 0)
% 55.57/19.31 | (418) leq(all_0_6_6, tptp_minus_1) = all_1023_0_357
% 55.57/19.31 |
% 55.57/19.31 | Instantiating formula (53) with all_0_6_6, tptp_minus_1, all_1023_0_357, 0 and discharging atoms leq(all_0_6_6, tptp_minus_1) = all_1023_0_357, leq(all_0_6_6, tptp_minus_1) = 0, yields:
% 55.57/19.31 | (419) all_1023_0_357 = 0
% 55.57/19.31 |
% 55.57/19.31 | Equations (419) can reduce 417 to:
% 55.57/19.31 | (181) $false
% 55.57/19.31 |
% 55.57/19.31 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (421) ~ (pv1376 = n0)
% 55.57/19.32 | (422) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (422), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (423) pv1376 = n1
% 55.57/19.32 |
% 55.57/19.32 | Equations (423) can reduce 388 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (388) ~ (pv1376 = n1)
% 55.57/19.32 | (426) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (426), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (427) pv1376 = n3
% 55.57/19.32 |
% 55.57/19.32 | Equations (427) can reduce 386 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (386) ~ (pv1376 = n3)
% 55.57/19.32 | (430) pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (430), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (431) pv1376 = n2
% 55.57/19.32 |
% 55.57/19.32 | Equations (431) can reduce 387 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (387) ~ (pv1376 = n2)
% 55.57/19.32 | (434) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 | Instantiating (434) with all_705_0_383 yields:
% 55.57/19.32 | (435) ~ (all_705_0_383 = 0) & leq(n0, pv1376) = all_705_0_383
% 55.57/19.32 |
% 55.57/19.32 | Applying alpha-rule on (435) yields:
% 55.57/19.32 | (436) ~ (all_705_0_383 = 0)
% 55.57/19.32 | (437) leq(n0, pv1376) = all_705_0_383
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (53) with n0, pv1376, all_705_0_383, 0 and discharging atoms leq(n0, pv1376) = all_705_0_383, leq(n0, pv1376) = 0, yields:
% 55.57/19.32 | (438) all_705_0_383 = 0
% 55.57/19.32 |
% 55.57/19.32 | Equations (438) can reduce 436 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (374) leq(n0, all_0_7_7) = 0
% 55.57/19.32 | (441) ? [v0] : ? [v1] : (a_select2(s_values7_init, n0) = v1 & leq(n0, n0) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.32 |
% 55.57/19.32 | Instantiating (441) with all_624_0_384, all_624_1_385 yields:
% 55.57/19.32 | (442) a_select2(s_values7_init, n0) = all_624_0_384 & leq(n0, n0) = all_624_1_385 & ( ~ (all_624_1_385 = 0) | all_624_0_384 = init)
% 55.57/19.32 |
% 55.57/19.32 | Applying alpha-rule on (442) yields:
% 55.57/19.32 | (443) a_select2(s_values7_init, n0) = all_624_0_384
% 55.57/19.32 | (444) leq(n0, n0) = all_624_1_385
% 55.57/19.32 | (445) ~ (all_624_1_385 = 0) | all_624_0_384 = init
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (280), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (120) with s_values7_init, n0, all_624_0_384, all_0_3_3 and discharging atoms a_select2(s_values7_init, n0) = all_624_0_384, yields:
% 55.57/19.32 | (447) all_624_0_384 = all_0_3_3 | ~ (a_select2(s_values7_init, n0) = all_0_3_3)
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (124) with all_624_1_385, n0 and discharging atoms leq(n0, n0) = all_624_1_385, yields:
% 55.57/19.32 | (448) all_624_1_385 = 0
% 55.57/19.32 |
% 55.57/19.32 | Using (192) and (446) yields:
% 55.57/19.32 | (421) ~ (pv1376 = n0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (445), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (450) ~ (all_624_1_385 = 0)
% 55.57/19.32 |
% 55.57/19.32 | Equations (448) can reduce 450 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (448) all_624_1_385 = 0
% 55.57/19.32 | (453) all_624_0_384 = init
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (163), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (389) pv1376 = n0
% 55.57/19.32 |
% 55.57/19.32 | Equations (389) can reduce 421 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (421) ~ (pv1376 = n0)
% 55.57/19.32 | (457) ? [v0] : ( ~ (v0 = 0) & leq(pv1376, n0) = v0)
% 55.57/19.32 |
% 55.57/19.32 | Instantiating (457) with all_641_0_386 yields:
% 55.57/19.32 | (458) ~ (all_641_0_386 = 0) & leq(pv1376, n0) = all_641_0_386
% 55.57/19.32 |
% 55.57/19.32 | Applying alpha-rule on (458) yields:
% 55.57/19.32 | (459) ~ (all_641_0_386 = 0)
% 55.57/19.32 | (460) leq(pv1376, n0) = all_641_0_386
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (53) with n1, n0, all_641_0_386, all_114_0_33 and discharging atoms leq(n1, n0) = all_114_0_33, yields:
% 55.57/19.32 | (461) all_641_0_386 = all_114_0_33 | ~ (leq(n1, n0) = all_641_0_386)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (161), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (462) ~ (leq(pv1376, all_0_7_7) = 0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (189), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (463) ~ (pred(n1) = all_0_7_7)
% 55.57/19.32 |
% 55.57/19.32 | Using (154) and (463) yields:
% 55.57/19.32 | (388) ~ (pv1376 = n1)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (159), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (389) pv1376 = n0
% 55.57/19.32 |
% 55.57/19.32 | Equations (389) can reduce 421 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (421) ~ (pv1376 = n0)
% 55.57/19.32 | (422) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (201), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (469) ~ (leq(n2, all_0_7_7) = 0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (272), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (470) leq(n2, all_0_7_7) = 0
% 55.57/19.32 |
% 55.57/19.32 | Using (470) and (469) yields:
% 55.57/19.32 | (177) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (469) ~ (leq(n2, all_0_7_7) = 0)
% 55.57/19.32 | (473) ~ (gt(pv1376, n2) = 0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (274), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (470) leq(n2, all_0_7_7) = 0
% 55.57/19.32 |
% 55.57/19.32 | Using (470) and (469) yields:
% 55.57/19.32 | (177) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (469) ~ (leq(n2, all_0_7_7) = 0)
% 55.57/19.32 | (377) ~ (succ(all_0_7_7) = n3)
% 55.57/19.32 |
% 55.57/19.32 | Using (192) and (377) yields:
% 55.57/19.32 | (386) ~ (pv1376 = n3)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (422), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (423) pv1376 = n1
% 55.57/19.32 |
% 55.57/19.32 | Equations (423) can reduce 388 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (388) ~ (pv1376 = n1)
% 55.57/19.32 | (426) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (426), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (427) pv1376 = n3
% 55.57/19.32 |
% 55.57/19.32 | Equations (427) can reduce 386 to:
% 55.57/19.32 | (181) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (386) ~ (pv1376 = n3)
% 55.57/19.32 | (430) pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (430), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (431) pv1376 = n2
% 55.57/19.32 |
% 55.57/19.32 | From (431) and (154) follows:
% 55.57/19.32 | (488) pred(n2) = all_0_7_7
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (188), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (489) ~ (pred(n2) = all_0_7_7)
% 55.57/19.32 |
% 55.57/19.32 | Using (488) and (489) yields:
% 55.57/19.32 | (177) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (488) pred(n2) = all_0_7_7
% 55.57/19.32 | (492) all_0_7_7 = n1
% 55.57/19.32 |
% 55.57/19.32 | From (492) and (368) follows:
% 55.57/19.32 | (493) leq(all_0_6_6, n1) = 0
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (74) with all_0_6_6 yields:
% 55.57/19.32 | (404) ~ (leq(all_0_6_6, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.32 |
% 55.57/19.32 +-Applying beta-rule and splitting (404), into two cases.
% 55.57/19.32 |-Branch one:
% 55.57/19.32 | (406) ~ (leq(all_0_6_6, all_0_7_7) = 0)
% 55.57/19.32 |
% 55.57/19.32 | From (492) and (406) follows:
% 55.57/19.32 | (496) ~ (leq(all_0_6_6, n1) = 0)
% 55.57/19.32 |
% 55.57/19.32 | Using (493) and (496) yields:
% 55.57/19.32 | (177) $false
% 55.57/19.32 |
% 55.57/19.32 |-The branch is then unsatisfiable
% 55.57/19.32 |-Branch two:
% 55.57/19.32 | (368) leq(all_0_6_6, all_0_7_7) = 0
% 55.57/19.32 | (410) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.32 |
% 55.57/19.32 | Instantiating (410) with all_1097_0_401, all_1097_1_402 yields:
% 55.57/19.32 | (500) a_select2(s_values7_init, all_0_6_6) = all_1097_0_401 & leq(n0, all_0_6_6) = all_1097_1_402 & ( ~ (all_1097_1_402 = 0) | all_1097_0_401 = init)
% 55.57/19.32 |
% 55.57/19.32 | Applying alpha-rule on (500) yields:
% 55.57/19.32 | (501) a_select2(s_values7_init, all_0_6_6) = all_1097_0_401
% 55.57/19.32 | (502) leq(n0, all_0_6_6) = all_1097_1_402
% 55.57/19.32 | (503) ~ (all_1097_1_402 = 0) | all_1097_0_401 = init
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (120) with s_values7_init, all_0_6_6, all_1097_0_401, all_0_3_3 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_1097_0_401, a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 55.57/19.32 | (504) all_1097_0_401 = all_0_3_3
% 55.57/19.32 |
% 55.57/19.32 | Instantiating formula (53) with n0, all_0_6_6, all_1097_1_402, 0 and discharging atoms leq(n0, all_0_6_6) = all_1097_1_402, leq(n0, all_0_6_6) = 0, yields:
% 55.57/19.33 | (505) all_1097_1_402 = 0
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (503), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (506) ~ (all_1097_1_402 = 0)
% 55.57/19.33 |
% 55.57/19.33 | Equations (505) can reduce 506 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (505) all_1097_1_402 = 0
% 55.57/19.33 | (509) all_1097_0_401 = init
% 55.57/19.33 |
% 55.57/19.33 | Combining equations (509,504) yields a new equation:
% 55.57/19.33 | (510) all_0_3_3 = init
% 55.57/19.33 |
% 55.57/19.33 | Equations (510) can reduce 369 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (387) ~ (pv1376 = n2)
% 55.57/19.33 | (434) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.33 |
% 55.57/19.33 | Instantiating (434) with all_927_0_429 yields:
% 55.57/19.33 | (514) ~ (all_927_0_429 = 0) & leq(n0, pv1376) = all_927_0_429
% 55.57/19.33 |
% 55.57/19.33 | Applying alpha-rule on (514) yields:
% 55.57/19.33 | (515) ~ (all_927_0_429 = 0)
% 55.57/19.33 | (516) leq(n0, pv1376) = all_927_0_429
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with n0, pv1376, all_927_0_429, 0 and discharging atoms leq(n0, pv1376) = all_927_0_429, leq(n0, pv1376) = 0, yields:
% 55.57/19.33 | (517) all_927_0_429 = 0
% 55.57/19.33 |
% 55.57/19.33 | Equations (517) can reduce 515 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (470) leq(n2, all_0_7_7) = 0
% 55.57/19.33 | (520) ? [v0] : ? [v1] : (a_select2(s_values7_init, n2) = v1 & leq(n0, n2) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 | Using (470) and (462) yields:
% 55.57/19.33 | (387) ~ (pv1376 = n2)
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (422), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (423) pv1376 = n1
% 55.57/19.33 |
% 55.57/19.33 | Equations (423) can reduce 388 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (388) ~ (pv1376 = n1)
% 55.57/19.33 | (426) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (426), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (427) pv1376 = n3
% 55.57/19.33 |
% 55.57/19.33 | From (427) and (154) follows:
% 55.57/19.33 | (527) pred(n3) = all_0_7_7
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (187), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (528) ~ (pred(n3) = all_0_7_7)
% 55.57/19.33 |
% 55.57/19.33 | Using (527) and (528) yields:
% 55.57/19.33 | (177) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (527) pred(n3) = all_0_7_7
% 55.57/19.33 | (531) all_0_7_7 = n2
% 55.57/19.33 |
% 55.57/19.33 | From (531) and (368) follows:
% 55.57/19.33 | (343) leq(all_0_6_6, n2) = 0
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (74) with all_0_6_6 yields:
% 55.57/19.33 | (404) ~ (leq(all_0_6_6, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (404), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (406) ~ (leq(all_0_6_6, all_0_7_7) = 0)
% 55.57/19.33 |
% 55.57/19.33 | From (531) and (406) follows:
% 55.57/19.33 | (535) ~ (leq(all_0_6_6, n2) = 0)
% 55.57/19.33 |
% 55.57/19.33 | Using (343) and (535) yields:
% 55.57/19.33 | (177) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (368) leq(all_0_6_6, all_0_7_7) = 0
% 55.57/19.33 | (410) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 | Instantiating (410) with all_1043_0_434, all_1043_1_435 yields:
% 55.57/19.33 | (539) a_select2(s_values7_init, all_0_6_6) = all_1043_0_434 & leq(n0, all_0_6_6) = all_1043_1_435 & ( ~ (all_1043_1_435 = 0) | all_1043_0_434 = init)
% 55.57/19.33 |
% 55.57/19.33 | Applying alpha-rule on (539) yields:
% 55.57/19.33 | (540) a_select2(s_values7_init, all_0_6_6) = all_1043_0_434
% 55.57/19.33 | (541) leq(n0, all_0_6_6) = all_1043_1_435
% 55.57/19.33 | (542) ~ (all_1043_1_435 = 0) | all_1043_0_434 = init
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (120) with s_values7_init, all_0_6_6, all_1043_0_434, all_0_3_3 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_1043_0_434, a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 55.57/19.33 | (543) all_1043_0_434 = all_0_3_3
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with n0, all_0_6_6, all_1043_1_435, 0 and discharging atoms leq(n0, all_0_6_6) = all_1043_1_435, leq(n0, all_0_6_6) = 0, yields:
% 55.57/19.33 | (544) all_1043_1_435 = 0
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (542), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (545) ~ (all_1043_1_435 = 0)
% 55.57/19.33 |
% 55.57/19.33 | Equations (544) can reduce 545 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (544) all_1043_1_435 = 0
% 55.57/19.33 | (548) all_1043_0_434 = init
% 55.57/19.33 |
% 55.57/19.33 | Combining equations (548,543) yields a new equation:
% 55.57/19.33 | (510) all_0_3_3 = init
% 55.57/19.33 |
% 55.57/19.33 | Equations (510) can reduce 369 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (386) ~ (pv1376 = n3)
% 55.57/19.33 | (430) pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (430), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (431) pv1376 = n2
% 55.57/19.33 |
% 55.57/19.33 | Equations (431) can reduce 387 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (387) ~ (pv1376 = n2)
% 55.57/19.33 | (434) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.33 |
% 55.57/19.33 | Instantiating (434) with all_913_0_472 yields:
% 55.57/19.33 | (557) ~ (all_913_0_472 = 0) & leq(n0, pv1376) = all_913_0_472
% 55.57/19.33 |
% 55.57/19.33 | Applying alpha-rule on (557) yields:
% 55.57/19.33 | (558) ~ (all_913_0_472 = 0)
% 55.57/19.33 | (559) leq(n0, pv1376) = all_913_0_472
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with n0, pv1376, all_913_0_472, 0 and discharging atoms leq(n0, pv1376) = all_913_0_472, leq(n0, pv1376) = 0, yields:
% 55.57/19.33 | (560) all_913_0_472 = 0
% 55.57/19.33 |
% 55.57/19.33 | Equations (560) can reduce 558 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (562) pred(n1) = all_0_7_7
% 55.57/19.33 | (563) all_0_7_7 = n0
% 55.57/19.33 |
% 55.57/19.33 | From (563) and (368) follows:
% 55.57/19.33 | (564) leq(all_0_6_6, n0) = 0
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (74) with all_0_6_6 yields:
% 55.57/19.33 | (404) ~ (leq(all_0_6_6, all_0_7_7) = 0) | ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (81) with all_0_6_6 and discharging atoms leq(n0, all_0_6_6) = 0, yields:
% 55.57/19.33 | (566) all_0_6_6 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, n0) = v0)
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (566), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (567) all_0_6_6 = n0
% 55.57/19.33 |
% 55.57/19.33 | From (567) and (367) follows:
% 55.57/19.33 | (568) a_select2(s_values7_init, n0) = all_0_3_3
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (447), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (569) ~ (a_select2(s_values7_init, n0) = all_0_3_3)
% 55.57/19.33 |
% 55.57/19.33 | Using (568) and (569) yields:
% 55.57/19.33 | (177) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (568) a_select2(s_values7_init, n0) = all_0_3_3
% 55.57/19.33 | (572) all_624_0_384 = all_0_3_3
% 55.57/19.33 |
% 55.57/19.33 | Combining equations (572,453) yields a new equation:
% 55.57/19.33 | (573) all_0_3_3 = init
% 55.57/19.33 |
% 55.57/19.33 | Simplifying 573 yields:
% 55.57/19.33 | (510) all_0_3_3 = init
% 55.57/19.33 |
% 55.57/19.33 | Equations (510) can reduce 369 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (576) ~ (all_0_6_6 = n0)
% 55.57/19.33 | (577) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, n0) = v0)
% 55.57/19.33 |
% 55.57/19.33 | Instantiating (577) with all_981_0_548 yields:
% 55.57/19.33 | (578) ~ (all_981_0_548 = 0) & leq(all_0_6_6, n0) = all_981_0_548
% 55.57/19.33 |
% 55.57/19.33 | Applying alpha-rule on (578) yields:
% 55.57/19.33 | (579) ~ (all_981_0_548 = 0)
% 55.57/19.33 | (580) leq(all_0_6_6, n0) = all_981_0_548
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (404), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (406) ~ (leq(all_0_6_6, all_0_7_7) = 0)
% 55.57/19.33 |
% 55.57/19.33 | From (563) and (406) follows:
% 55.57/19.33 | (582) ~ (leq(all_0_6_6, n0) = 0)
% 55.57/19.33 |
% 55.57/19.33 | Using (564) and (582) yields:
% 55.57/19.33 | (177) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (368) leq(all_0_6_6, all_0_7_7) = 0
% 55.57/19.33 | (410) ? [v0] : ? [v1] : (a_select2(s_values7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 | From (563) and (368) follows:
% 55.57/19.33 | (564) leq(all_0_6_6, n0) = 0
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with all_0_6_6, n0, all_981_0_548, 0 and discharging atoms leq(all_0_6_6, n0) = all_981_0_548, leq(all_0_6_6, n0) = 0, yields:
% 55.57/19.33 | (587) all_981_0_548 = 0
% 55.57/19.33 |
% 55.57/19.33 | Equations (587) can reduce 579 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (589) leq(pv1376, all_0_7_7) = 0
% 55.57/19.33 | (590) ? [v0] : ? [v1] : (a_select2(s_values7_init, pv1376) = v1 & leq(n0, pv1376) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.33 |
% 55.57/19.33 | Instantiating (590) with all_665_0_586, all_665_1_587 yields:
% 55.57/19.33 | (591) a_select2(s_values7_init, pv1376) = all_665_0_586 & leq(n0, pv1376) = all_665_1_587 & ( ~ (all_665_1_587 = 0) | all_665_0_586 = init)
% 55.57/19.33 |
% 55.57/19.33 | Applying alpha-rule on (591) yields:
% 55.57/19.33 | (592) a_select2(s_values7_init, pv1376) = all_665_0_586
% 55.57/19.33 | (593) leq(n0, pv1376) = all_665_1_587
% 55.57/19.33 | (594) ~ (all_665_1_587 = 0) | all_665_0_586 = init
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with pv1376, n0, 0, all_641_0_386 and discharging atoms leq(pv1376, n0) = all_641_0_386, yields:
% 55.57/19.33 | (595) all_641_0_386 = 0 | ~ (leq(pv1376, n0) = 0)
% 55.57/19.33 |
% 55.57/19.33 | Instantiating formula (53) with n0, pv1376, all_665_1_587, 0 and discharging atoms leq(n0, pv1376) = all_665_1_587, leq(n0, pv1376) = 0, yields:
% 55.57/19.33 | (596) all_665_1_587 = 0
% 55.57/19.33 |
% 55.57/19.33 | From (596) and (593) follows:
% 55.57/19.33 | (126) leq(n0, pv1376) = 0
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (189), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (463) ~ (pred(n1) = all_0_7_7)
% 55.57/19.33 |
% 55.57/19.33 | Using (154) and (463) yields:
% 55.57/19.33 | (388) ~ (pv1376 = n1)
% 55.57/19.33 |
% 55.57/19.33 +-Applying beta-rule and splitting (159), into two cases.
% 55.57/19.33 |-Branch one:
% 55.57/19.33 | (389) pv1376 = n0
% 55.57/19.33 |
% 55.57/19.33 | Equations (389) can reduce 421 to:
% 55.57/19.33 | (181) $false
% 55.57/19.33 |
% 55.57/19.33 |-The branch is then unsatisfiable
% 55.57/19.33 |-Branch two:
% 55.57/19.33 | (421) ~ (pv1376 = n0)
% 55.57/19.33 | (422) pv1376 = n3 | pv1376 = n2 | pv1376 = n1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (193), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (604) ~ (leq(n3, all_0_7_7) = 0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (271), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (605) leq(n3, all_0_7_7) = 0
% 55.57/19.34 |
% 55.57/19.34 | Using (605) and (604) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (604) ~ (leq(n3, all_0_7_7) = 0)
% 55.57/19.34 | (608) ~ (gt(pv1376, n3) = 0)
% 55.57/19.34 |
% 55.57/19.34 | Using (589) and (604) yields:
% 55.57/19.34 | (386) ~ (pv1376 = n3)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (422), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (423) pv1376 = n1
% 55.57/19.34 |
% 55.57/19.34 | Equations (423) can reduce 388 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (388) ~ (pv1376 = n1)
% 55.57/19.34 | (426) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (426), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (427) pv1376 = n3
% 55.57/19.34 |
% 55.57/19.34 | Equations (427) can reduce 386 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (386) ~ (pv1376 = n3)
% 55.57/19.34 | (430) pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (430), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (431) pv1376 = n2
% 55.57/19.34 |
% 55.57/19.34 | From (431) and (154) follows:
% 55.57/19.34 | (488) pred(n2) = all_0_7_7
% 55.57/19.34 |
% 55.57/19.34 | From (431) and (589) follows:
% 55.57/19.34 | (470) leq(n2, all_0_7_7) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (188), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (489) ~ (pred(n2) = all_0_7_7)
% 55.57/19.34 |
% 55.57/19.34 | Using (488) and (489) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (488) pred(n2) = all_0_7_7
% 55.57/19.34 | (492) all_0_7_7 = n1
% 55.57/19.34 |
% 55.57/19.34 | From (492) and (488) follows:
% 55.57/19.34 | (156) pred(n2) = n1
% 55.57/19.34 |
% 55.57/19.34 | From (492) and (470) follows:
% 55.57/19.34 | (626) leq(n2, n1) = 0
% 55.57/19.34 |
% 55.57/19.34 | Instantiating formula (58) with n1, n2, n2 and discharging atoms pred(n2) = n1, leq(n2, n1) = 0, ~ (gt(n2, n2) = 0), yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (387) ~ (pv1376 = n2)
% 55.57/19.34 | (434) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 | Instantiating (434) with all_931_0_591 yields:
% 55.57/19.34 | (630) ~ (all_931_0_591 = 0) & leq(n0, pv1376) = all_931_0_591
% 55.57/19.34 |
% 55.57/19.34 | Applying alpha-rule on (630) yields:
% 55.57/19.34 | (631) ~ (all_931_0_591 = 0)
% 55.57/19.34 | (632) leq(n0, pv1376) = all_931_0_591
% 55.57/19.34 |
% 55.57/19.34 | Instantiating formula (53) with n0, pv1376, all_931_0_591, 0 and discharging atoms leq(n0, pv1376) = all_931_0_591, leq(n0, pv1376) = 0, yields:
% 55.57/19.34 | (633) all_931_0_591 = 0
% 55.57/19.34 |
% 55.57/19.34 | Equations (633) can reduce 631 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (605) leq(n3, all_0_7_7) = 0
% 55.57/19.34 | (636) ? [v0] : ? [v1] : (a_select2(s_values7_init, n3) = v1 & leq(n0, n3) = v0 & ( ~ (v0 = 0) | v1 = init))
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (188), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (489) ~ (pred(n2) = all_0_7_7)
% 55.57/19.34 |
% 55.57/19.34 | Using (154) and (489) yields:
% 55.57/19.34 | (387) ~ (pv1376 = n2)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (422), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (423) pv1376 = n1
% 55.57/19.34 |
% 55.57/19.34 | Equations (423) can reduce 388 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (388) ~ (pv1376 = n1)
% 55.57/19.34 | (426) pv1376 = n3 | pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (426), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (427) pv1376 = n3
% 55.57/19.34 |
% 55.57/19.34 | From (427) and (154) follows:
% 55.57/19.34 | (527) pred(n3) = all_0_7_7
% 55.57/19.34 |
% 55.57/19.34 | From (427) and (589) follows:
% 55.57/19.34 | (605) leq(n3, all_0_7_7) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (187), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (528) ~ (pred(n3) = all_0_7_7)
% 55.57/19.34 |
% 55.57/19.34 | Using (527) and (528) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (527) pred(n3) = all_0_7_7
% 55.57/19.34 | (531) all_0_7_7 = n2
% 55.57/19.34 |
% 55.57/19.34 | From (531) and (527) follows:
% 55.57/19.34 | (155) pred(n3) = n2
% 55.57/19.34 |
% 55.57/19.34 | From (531) and (605) follows:
% 55.57/19.34 | (651) leq(n3, n2) = 0
% 55.57/19.34 |
% 55.57/19.34 | Instantiating formula (58) with n2, n3, n3 and discharging atoms pred(n3) = n2, leq(n3, n2) = 0, ~ (gt(n3, n3) = 0), yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (386) ~ (pv1376 = n3)
% 55.57/19.34 | (430) pv1376 = n2 | ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (430), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (431) pv1376 = n2
% 55.57/19.34 |
% 55.57/19.34 | Equations (431) can reduce 387 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (387) ~ (pv1376 = n2)
% 55.57/19.34 | (434) ? [v0] : ( ~ (v0 = 0) & leq(n0, pv1376) = v0)
% 55.57/19.34 |
% 55.57/19.34 | Instantiating (434) with all_1001_0_597 yields:
% 55.57/19.34 | (659) ~ (all_1001_0_597 = 0) & leq(n0, pv1376) = all_1001_0_597
% 55.57/19.34 |
% 55.57/19.34 | Applying alpha-rule on (659) yields:
% 55.57/19.34 | (660) ~ (all_1001_0_597 = 0)
% 55.57/19.34 | (661) leq(n0, pv1376) = all_1001_0_597
% 55.57/19.34 |
% 55.57/19.34 | Instantiating formula (53) with n0, pv1376, all_1001_0_597, 0 and discharging atoms leq(n0, pv1376) = all_1001_0_597, leq(n0, pv1376) = 0, yields:
% 55.57/19.34 | (662) all_1001_0_597 = 0
% 55.57/19.34 |
% 55.57/19.34 | Equations (662) can reduce 660 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (488) pred(n2) = all_0_7_7
% 55.57/19.34 | (492) all_0_7_7 = n1
% 55.57/19.34 |
% 55.57/19.34 | From (492) and (605) follows:
% 55.57/19.34 | (666) leq(n3, n1) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (330), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (667) ~ (leq(n3, n1) = 0)
% 55.57/19.34 |
% 55.57/19.34 | Using (666) and (667) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (666) leq(n3, n1) = 0
% 55.57/19.34 | (670) all_452_0_74 = 0
% 55.57/19.34 |
% 55.57/19.34 | Equations (670) can reduce 328 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (562) pred(n1) = all_0_7_7
% 55.57/19.34 | (563) all_0_7_7 = n0
% 55.57/19.34 |
% 55.57/19.34 | From (563) and (192) follows:
% 55.57/19.34 | (674) succ(n0) = pv1376
% 55.57/19.34 |
% 55.57/19.34 | From (563) and (589) follows:
% 55.57/19.34 | (675) leq(pv1376, n0) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (265), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (676) ~ (succ(n0) = pv1376)
% 55.57/19.34 |
% 55.57/19.34 | Using (674) and (676) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (674) succ(n0) = pv1376
% 55.57/19.34 | (423) pv1376 = n1
% 55.57/19.34 |
% 55.57/19.34 | From (423) and (460) follows:
% 55.57/19.34 | (680) leq(n1, n0) = all_641_0_386
% 55.57/19.34 |
% 55.57/19.34 | From (423) and (675) follows:
% 55.57/19.34 | (681) leq(n1, n0) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (461), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (682) ~ (leq(n1, n0) = all_641_0_386)
% 55.57/19.34 |
% 55.57/19.34 | Using (680) and (682) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (680) leq(n1, n0) = all_641_0_386
% 55.57/19.34 | (685) all_641_0_386 = all_114_0_33
% 55.57/19.34 |
% 55.57/19.34 | Equations (685) can reduce 459 to:
% 55.57/19.34 | (245) ~ (all_114_0_33 = 0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (595), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (687) ~ (leq(pv1376, n0) = 0)
% 55.57/19.34 |
% 55.57/19.34 | From (423) and (687) follows:
% 55.57/19.34 | (688) ~ (leq(n1, n0) = 0)
% 55.57/19.34 |
% 55.57/19.34 | Using (681) and (688) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (675) leq(pv1376, n0) = 0
% 55.57/19.34 | (691) all_641_0_386 = 0
% 55.57/19.34 |
% 55.57/19.34 | Combining equations (685,691) yields a new equation:
% 55.57/19.34 | (692) all_114_0_33 = 0
% 55.57/19.34 |
% 55.57/19.34 | Simplifying 692 yields:
% 55.57/19.34 | (307) all_114_0_33 = 0
% 55.57/19.34 |
% 55.57/19.34 | Equations (307) can reduce 245 to:
% 55.57/19.34 | (181) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (695) succ(all_0_7_7) = n0
% 55.57/19.34 | (696) all_114_0_33 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0)
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (278), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.34 |
% 55.57/19.34 | Using (695) and (446) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (695) succ(all_0_7_7) = n0
% 55.57/19.34 | (700) leq(all_0_7_7, all_0_9_9) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (270), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.34 |
% 55.57/19.34 | Using (695) and (446) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (695) succ(all_0_7_7) = n0
% 55.57/19.34 | (704) gt(pv7, all_0_7_7) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (269), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.34 |
% 55.57/19.34 | Using (695) and (446) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (695) succ(all_0_7_7) = n0
% 55.57/19.34 | (708) gt(n0, all_0_7_7) = 0
% 55.57/19.34 |
% 55.57/19.34 +-Applying beta-rule and splitting (279), into two cases.
% 55.57/19.34 |-Branch one:
% 55.57/19.34 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.34 |
% 55.57/19.34 | Using (695) and (446) yields:
% 55.57/19.34 | (177) $false
% 55.57/19.34 |
% 55.57/19.34 |-The branch is then unsatisfiable
% 55.57/19.34 |-Branch two:
% 55.57/19.34 | (695) succ(all_0_7_7) = n0
% 55.57/19.34 | (712) all_84_0_27 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, all_0_7_7) = v0)
% 55.57/19.35 |
% 55.57/19.35 +-Applying beta-rule and splitting (268), into two cases.
% 55.57/19.35 |-Branch one:
% 55.57/19.35 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.35 |
% 55.57/19.35 | Using (695) and (446) yields:
% 55.57/19.35 | (177) $false
% 55.57/19.35 |
% 55.57/19.35 |-The branch is then unsatisfiable
% 55.57/19.35 |-Branch two:
% 55.57/19.35 | (695) succ(all_0_7_7) = n0
% 55.57/19.35 | (716) leq(all_0_7_7, n1) = 0
% 55.57/19.35 |
% 55.57/19.35 +-Applying beta-rule and splitting (281), into two cases.
% 55.57/19.35 |-Branch one:
% 55.57/19.35 | (446) ~ (succ(all_0_7_7) = n0)
% 55.57/19.35 |
% 55.57/19.35 | Using (695) and (446) yields:
% 55.57/19.35 | (177) $false
% 55.57/19.35 |
% 55.57/19.35 |-The branch is then unsatisfiable
% 55.57/19.35 |-Branch two:
% 55.57/19.35 | (695) succ(all_0_7_7) = n0
% 55.57/19.35 | (720) all_114_0_33 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, all_0_7_7) = v0)
% 55.57/19.35 |
% 55.57/19.35 +-Applying beta-rule and splitting (720), into two cases.
% 55.57/19.35 |-Branch one:
% 55.57/19.35 | (307) all_114_0_33 = 0
% 55.57/19.35 |
% 55.57/19.35 | Equations (307) can reduce 245 to:
% 55.57/19.35 | (181) $false
% 55.57/19.35 |
% 55.57/19.35 |-The branch is then unsatisfiable
% 55.57/19.35 |-Branch two:
% 55.57/19.35 | (245) ~ (all_114_0_33 = 0)
% 55.57/19.35 | (724) ? [v0] : ( ~ (v0 = 0) & leq(n1, all_0_7_7) = v0)
% 55.57/19.35 |
% 55.57/19.35 +-Applying beta-rule and splitting (696), into two cases.
% 55.57/19.35 |-Branch one:
% 55.57/19.35 | (307) all_114_0_33 = 0
% 55.57/19.35 |
% 55.57/19.35 | Equations (307) can reduce 245 to:
% 55.57/19.35 | (181) $false
% 55.57/19.35 |
% 55.57/19.35 |-The branch is then unsatisfiable
% 55.57/19.35 |-Branch two:
% 55.57/19.35 | (245) ~ (all_114_0_33 = 0)
% 55.57/19.35 | (728) ? [v0] : ( ~ (v0 = 0) & leq(n0, all_0_7_7) = v0)
% 55.57/19.35 |
% 55.57/19.35 | Instantiating (728) with all_841_0_645 yields:
% 55.57/19.35 | (729) ~ (all_841_0_645 = 0) & leq(n0, all_0_7_7) = all_841_0_645
% 55.57/19.35 |
% 55.57/19.35 | Applying alpha-rule on (729) yields:
% 55.57/19.35 | (730) ~ (all_841_0_645 = 0)
% 55.57/19.35 | (731) leq(n0, all_0_7_7) = all_841_0_645
% 55.57/19.35 |
% 55.57/19.35 | Instantiating formula (53) with n0, all_0_7_7, all_841_0_645, 0 and discharging atoms leq(n0, all_0_7_7) = all_841_0_645, leq(n0, all_0_7_7) = 0, yields:
% 55.57/19.35 | (732) all_841_0_645 = 0
% 55.57/19.35 |
% 55.57/19.35 | Equations (732) can reduce 730 to:
% 55.57/19.35 | (181) $false
% 55.57/19.35 |
% 55.57/19.35 |-The branch is then unsatisfiable
% 55.57/19.35 % SZS output end Proof for theBenchmark
% 55.57/19.35
% 55.57/19.35 18734ms
%------------------------------------------------------------------------------