TSTP Solution File: SWV025+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV025+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n011.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 17:49:45 EDT 2022
% Result : Theorem 24.88s 7.29s
% Output : Proof 48.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV025+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 08:16:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.13/1.05 Prover 0: Preprocessing ...
% 4.12/1.54 Prover 0: Warning: ignoring some quantifiers
% 4.12/1.58 Prover 0: Constructing countermodel ...
% 19.18/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.62/6.07 Prover 1: Preprocessing ...
% 20.73/6.27 Prover 1: Warning: ignoring some quantifiers
% 20.73/6.27 Prover 1: Constructing countermodel ...
% 24.88/7.29 Prover 1: proved (1378ms)
% 24.88/7.29 Prover 0: stopped
% 24.88/7.29
% 24.88/7.29 No countermodel exists, formula is valid
% 24.88/7.29 % SZS status Theorem for theBenchmark
% 24.88/7.29
% 24.88/7.29 Generating proof ... Warning: ignoring some quantifiers
% 47.11/15.52 found it (size 186)
% 47.11/15.52
% 47.11/15.52 % SZS output start Proof for theBenchmark
% 47.11/15.52 Assumed formulas after preprocessing and simplification:
% 47.11/15.52 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & minus(n3, n1) = v2 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv20, v1) = 0 & leq(pv19, v0) = 0 & leq(pv7, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv7) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v3 & 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 & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (tptp_mmul(v25, v26) = v27) | ~ (tptp_mmul(v18, v22) = v23) | ~ (tptp_mmul(v17, v23) = v24) | ~ (tptp_mmul(v16, v19) = v20) | ~ (tptp_mmul(v15, v20) = v21) | ~ (tptp_mmul(v14, v27) = v28) | ~ (tptp_madd(v21, v24) = v25) | ~ (tptp_madd(v13, v28) = v29) | ~ (trans(v17) = v22) | ~ (trans(v15) = v19) | ~ (trans(v14) = v26) | ~ (a_select3(v29, v30, v31) = v32) | ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ((v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v18, v34, v33) = v40 & a_select3(v18, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v16, v34, v33) = v40 & a_select3(v16, v33, v34) = v39 & leq(v34, v12) = 0 & leq(v33, v12) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 & ~ (v40 = v39) & a_select3(v13, v34, v33) = v40 & a_select3(v13, v33, v34) = v39 & leq(v34, v11) = 0 & leq(v33, v11) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (a_select3(v29, v31, v30) = v37 & leq(v31, v11) = v36 & leq(v30, v11) = v34 & leq(n0, v31) = v35 & leq(n0, v30) = v33 & ( ~ (v36 = 0) | ~ (v35 = 0) | ~ (v34 = 0) | ~ (v33 = 0) | v37 = v32)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v17 | ~ (tptp_const_array2(v18, v19, v17) = v20) | ~ (a_select3(v20, v11, v14) = v21) | ~ (dim(v15, v16) = v19) | ~ (dim(v12, v13) = v18) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (leq(v15, v14) = v24 & leq(v14, v16) = v25 & leq(v12, v11) = v22 & leq(v11, v13) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ? [v11] : ? [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v13, v16) = v17) | ~ (trans(v13) = v15) | ~ (a_select3(v17, v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v14, v22, v21) = v28 & a_select3(v14, v21, v22) = v27 & leq(v22, v12) = 0 & leq(v21, v12) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v17, v19, v18) = v25 & leq(v19, v11) = v24 & leq(v18, v11) = v22 & leq(n0, v19) = v23 & leq(n0, v18) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v25 = v20)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) | ~ (tptp_mmul(v12, v15) = v16) | ~ (trans(v12) = v14) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v11) = v23 & leq(v17, v11) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update3(v15, v13, v14, v16) = v17) | ~ (a_select3(v17, v11, v12) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v25 = v16) & a_select3(v15, v19, v20) = v25 & leq(v20, v14) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (leq(v12, v14) = v22 & leq(v11, v13) = v20 & leq(n0, v12) = v21 & leq(n0, v11) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v11 | v14 = v12 | ~ (tptp_update3(v15, v12, v13, v16) = v17) | ~ (a_select3(v17, v14, v13) = v18) | ? [v19] : ( ~ (v19 = v11) & a_select3(v15, v14, v13) = v19)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_update3(v12, v15, v15, v16) = v17) | ~ (a_select3(v17, v13, v14) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v11) = 0 & leq(v19, v11) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v17, v14, v13) = v25 & leq(v15, v11) = v24 & leq(v14, v11) = v22 & leq(v13, v11) = v20 & leq(n0, v15) = v23 & leq(n0, v14) = v21 & leq(n0, v13) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v25 = v18)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (dim(v12, v13) = v15) | ~ (tptp_const_array1(v15, v14) = v16) | ~ (a_select2(v16, v11) = v17) | ? [v18] : ? [v19] : (leq(v12, v11) = v18 & leq(v11, v13) = v19 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v11 | v13 = v12 | ~ (tptp_update2(v14, v12, v15) = v16) | ~ (a_select2(v16, v13) = v17) | ? [v18] : ( ~ (v18 = v11) & a_select2(v14, v13) = v18)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_msub(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_madd(v12, v13) = v14) | ~ (a_select3(v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v13, v19, v18) = v25 & a_select3(v13, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & ~ (v25 = v24) & a_select3(v12, v19, v18) = v25 & a_select3(v12, v18, v19) = v24 & leq(v19, v11) = 0 & leq(v18, v11) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v11) = v21 & leq(v15, v11) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update2(v13, v12, v14) = v15) | ~ (a_select2(v15, v11) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v19 = 0 & v18 = 0 & ~ (v20 = v14) & a_select2(v13, v17) = v20 & leq(v17, v12) = 0 & leq(n0, v17) = 0) | (leq(v11, v12) = v18 & leq(n0, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update3(v11, v12, v13, v14) = v15) | ~ (a_select3(v15, v12, v13) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (tptp_update3(v16, v15, v14, v13) = v12) | ~ (tptp_update3(v16, v15, v14, v13) = v11)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (inv(v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (trans(v12) = v13) | ~ (a_select3(v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v11) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v11) = v20 & leq(v14, v11) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (tptp_update2(v11, v12, v13) = v14) | ~ (a_select2(v14, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v11, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_update2(v15, v14, v13) = v12) | ~ (tptp_update2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (sum(v15, v14, v13) = v12) | ~ (sum(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (tptp_const_array2(v15, v14, v13) = v12) | ~ (tptp_const_array2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (a_select3(v15, v14, v13) = v12) | ~ (a_select3(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (uniform_int_rnd(v12, v11) = v13) | ~ (leq(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(n0, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (succ(v12) = v13) | ~ (gt(v13, v11) = v14) | ? [v15] : ( ~ (v15 = 0) & leq(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (pred(v12) = v13) | ~ (leq(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v11, v13) = v14) | ~ (leq(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & leq(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (gt(v11, v13) = v14) | ~ (gt(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & gt(v12, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (minus(v14, v13) = v12) | ~ (minus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (plus(v14, v13) = v12) | ~ (plus(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_mmul(v14, v13) = v12) | ~ (tptp_mmul(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_msub(v14, v13) = v12) | ~ (tptp_msub(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_madd(v14, v13) = v12) | ~ (tptp_madd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (dim(v14, v13) = v12) | ~ (dim(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (tptp_const_array1(v14, v13) = v12) | ~ (tptp_const_array1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (a_select2(v14, v13) = v12) | ~ (a_select2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (uniform_int_rnd(v14, v13) = v12) | ~ (uniform_int_rnd(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (geq(v14, v13) = v12) | ~ (geq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (lt(v14, v13) = v12) | ~ (lt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (leq(v14, v13) = v12) | ~ (leq(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (gt(v14, v13) = v12) | ~ (gt(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (succ(v12) = v14) | ~ (succ(v11) = v13) | ~ (leq(v13, v14) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = init | ~ (a_select3(simplex7_init, v12, v11) = v13) | ~ (leq(v11, n2) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & leq(n0, v11) = v14) | (leq(v12, n3) = v15 & leq(n0, v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v12, v11) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v12 = v11 | ~ (gt(v11, v12) = v13) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v11) = v12) | ~ (gt(v12, v11) = v13)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (geq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (lt(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & gt(v12, v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (inv(v13) = v12) | ~ (inv(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (trans(v13) = v12) | ~ (trans(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (succ(v13) = v12) | ~ (succ(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (pred(v13) = v12) | ~ (pred(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (minus(v11, v12) = v13) | ~ (leq(v13, v11) = 0) | leq(n0, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (uniform_int_rnd(v12, v11) = v13) | ? [v14] : ? [v15] : (leq(n0, v13) = v15 & leq(n0, v11) = v14 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v12) = v13) | ~ (gt(v13, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (succ(v11) = v13) | ~ (leq(v13, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (pred(v12) = v13) | ~ (leq(v11, v13) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : (v12 = init | ~ (a_select2(s_center7_init, v11) = v12) | ? [v13] : ? [v14] : (leq(v11, n2) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = init | ~ (a_select2(s_values7_init, v11) = v12) | ? [v13] : ? [v14] : (leq(v11, n3) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v11] : ! [v12] : (v12 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = n0 | ~ (sum(n0, tptp_minus_1, v11) = v12)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v11, v11) = v12)) & ! [v11] : ! [v12] : ( ~ (minus(v11, n1) = v12) | pred(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(v11, n5) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n4) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n3) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n2) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(v11, n1) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (plus(n5, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (succ(v16) = v12 & succ(v15) = v16 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n4, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (succ(v15) = v12 & succ(v14) = v15 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n3, v11) = v12) | ? [v13] : ? [v14] : (succ(v14) = v12 & succ(v13) = v14 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n2, v11) = v12) | ? [v13] : (succ(v13) = v12 & succ(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (plus(n1, v11) = v12) | succ(v11) = v12) & ! [v11] : ! [v12] : ( ~ (succ(v11) = v12) | pred(v12) = v11) & ! [v11] : ! [v12] : ( ~ (pred(v11) = v12) | succ(v12) = v11) & ! [v11] : ! [v12] : ( ~ (geq(v11, v12) = 0) | leq(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (lt(v11, v12) = 0) | gt(v12, v11) = 0) & ! [v11] : ! [v12] : ( ~ (gt(v12, v11) = 0) | leq(v11, v12) = 0) & ! [v11] : (v11 = n5 | v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n5) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n4 | v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n4) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n3 | v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n3) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n2 | v11 = n1 | v11 = n0 | ~ (leq(v11, n2) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n1 | v11 = n0 | ~ (leq(v11, n1) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(n0, v11) = v12)) & ! [v11] : (v11 = n0 | ~ (leq(n0, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & leq(v11, n0) = v12)) & ! [v11] : ( ~ (leq(v11, v2) = 0) | ? [v12] : ? [v13] : (a_select2(s_try7_init, v11) = v13 & leq(n0, v11) = v12 & ( ~ (v12 = 0) | v13 = init))) & ! [v11] : ~ (gt(v11, v11) = 0) & ( ~ (v3 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v9 = 0 & v8 = 0 & v6 = 0 & v5 = 0 & ~ (v10 = init) & a_select3(simplex7_init, v7, v4) = v10 & leq(v7, n3) = 0 & leq(v4, n2) = 0 & leq(n0, v7) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_try7_init, v4) = v7 & leq(v4, v2) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_center7_init, v4) = v7 & leq(v4, n2) = 0 & leq(n0, v4) = 0) | (v6 = 0 & v5 = 0 & ~ (v7 = init) & a_select2(s_values7_init, v4) = v7 & leq(v4, n3) = 0 & leq(n0, v4) = 0) | (v3 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))))
% 47.51/15.61 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 47.51/15.61 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n330, n1) = all_0_9_9 & minus(n410, n1) = all_0_10_10 & minus(n3, n1) = all_0_8_8 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv20, all_0_9_9) = 0 & leq(pv19, all_0_10_10) = 0 & leq(pv7, all_0_10_10) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv7) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_7_7 & 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 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 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_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) & ! [v0] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 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, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))))
% 47.67/15.65 |
% 47.67/15.65 | Applying alpha-rule on (1) yields:
% 47.67/15.65 | (2) succ(n3) = n4
% 47.67/15.65 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 47.67/15.65 | (4) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 47.67/15.65 | (5) gt(n4, n0) = 0
% 47.67/15.65 | (6) leq(pv20, all_0_9_9) = 0
% 47.67/15.65 | (7) ? [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))))
% 47.67/15.65 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 47.67/15.65 | (9) minus(n3, n1) = all_0_8_8
% 47.67/15.65 | (10) succ(n0) = n1
% 47.67/15.65 | (11) gt(n2, tptp_minus_1) = 0
% 47.67/15.65 | (12) leq(n0, pv19) = 0
% 47.67/15.65 | (13) gt(n2, n0) = 0
% 47.67/15.65 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 47.67/15.65 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 47.67/15.65 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 47.67/15.65 | (17) gt(n5, n2) = 0
% 47.67/15.65 | (18) ? [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))
% 47.67/15.65 | (19) ? [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))))
% 47.67/15.65 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 47.67/15.65 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 47.67/15.65 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 47.67/15.65 | (23) ? [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))
% 47.67/15.65 | (24) succ(n1) = n2
% 47.67/15.65 | (25) leq(n0, s_best7) = 0
% 47.67/15.65 | (26) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 47.67/15.65 | (27) gt(n5, n1) = 0
% 47.67/15.65 | (28) ! [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)))))
% 47.67/15.66 | (29) gt(n3, tptp_minus_1) = 0
% 47.67/15.66 | (30) gt(n4, n1) = 0
% 47.67/15.66 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 47.67/15.66 | (32) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 47.67/15.66 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 47.67/15.66 | (34) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 47.67/15.66 | (35) ! [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)))))
% 47.67/15.66 | (36) gt(n4, tptp_minus_1) = 0
% 47.67/15.66 | (37) ! [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))))
% 47.67/15.66 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 47.67/15.66 | (39) gt(n3, n1) = 0
% 47.67/15.66 | (40) gt(loopcounter, n1) = all_0_7_7
% 47.67/15.66 | (41) gt(n2, n1) = 0
% 47.67/15.66 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 47.67/15.66 | (43) ? [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))))
% 47.67/15.66 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 47.67/15.66 | (45) gt(n410, n5) = 0
% 47.67/15.66 | (46) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 47.67/15.66 | (47) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 47.67/15.66 | (48) gt(n410, tptp_minus_1) = 0
% 47.67/15.66 | (49) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 47.67/15.66 | (50) succ(tptp_minus_1) = n0
% 47.67/15.66 | (51) s_best7_init = init
% 47.67/15.66 | (52) ! [v0] : ~ (gt(v0, v0) = 0)
% 47.67/15.66 | (53) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_values7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 47.67/15.66 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 47.67/15.66 | (55) minus(n330, n1) = all_0_9_9
% 47.67/15.66 | (56) gt(n330, n1) = 0
% 47.67/15.66 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 47.67/15.66 | (58) gt(n3, n2) = 0
% 47.67/15.66 | (59) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 47.67/15.66 | (60) gt(n4, n2) = 0
% 47.67/15.66 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 47.67/15.67 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 47.67/15.67 | (63) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 47.67/15.67 | (64) gt(n5, tptp_minus_1) = 0
% 47.67/15.67 | (65) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 47.67/15.67 | (66) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 47.67/15.67 | (67) gt(n330, n2) = 0
% 47.67/15.67 | (68) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 47.67/15.67 | (69) ! [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))))
% 47.67/15.67 | (70) leq(pv7, all_0_10_10) = 0
% 47.67/15.67 | (71) gt(n3, n0) = 0
% 47.67/15.67 | (72) gt(n330, n5) = 0
% 47.67/15.67 | (73) gt(n5, n0) = 0
% 47.67/15.67 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 47.67/15.67 | (75) ! [v0] : ! [v1] : (v1 = init | ~ (a_select2(s_center7_init, v0) = v1) | ? [v2] : ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 47.67/15.67 | (76) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 47.67/15.67 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 47.67/15.67 | (78) leq(n0, s_worst7) = 0
% 47.67/15.67 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 47.67/15.67 | (80) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 47.67/15.67 | (81) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 47.67/15.67 | (82) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 47.67/15.67 | (83) leq(s_worst7, n3) = 0
% 47.67/15.67 | (84) gt(n410, n3) = 0
% 47.67/15.67 | (85) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 47.67/15.67 | (86) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 47.67/15.67 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 47.67/15.67 | (88) gt(n330, tptp_minus_1) = 0
% 47.67/15.67 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 47.67/15.67 | (90) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 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, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 47.67/15.67 | (91) ! [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)))))
% 47.67/15.67 | (92) leq(n0, pv7) = 0
% 47.67/15.67 | (93) minus(n410, n1) = all_0_10_10
% 47.67/15.67 | (94) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 47.67/15.68 | (95) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 47.67/15.68 | (96) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 47.67/15.68 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 47.67/15.68 | (98) ? [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))))
% 47.67/15.68 | (99) gt(n1, tptp_minus_1) = 0
% 47.67/15.68 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 47.67/15.68 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 47.67/15.68 | (102) ? [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))))
% 47.67/15.68 | (103) gt(n5, n4) = 0
% 47.67/15.68 | (104) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 47.67/15.68 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 47.67/15.68 | (106) true
% 47.67/15.68 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 47.67/15.68 | (108) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 47.67/15.68 | (109) gt(n0, tptp_minus_1) = 0
% 47.67/15.68 | (110) s_sworst7_init = init
% 47.67/15.68 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 47.67/15.68 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 47.67/15.68 | (113) ! [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))
% 47.67/15.68 | (114) gt(n330, n3) = 0
% 47.67/15.68 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 47.67/15.68 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 47.67/15.68 | (117) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 47.67/15.68 | (118) gt(n410, n0) = 0
% 47.67/15.68 | (119) gt(n4, n3) = 0
% 47.67/15.68 | (120) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 47.67/15.68 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 47.67/15.68 | (122) gt(n330, n4) = 0
% 47.67/15.68 | (123) s_worst7_init = init
% 47.67/15.68 | (124) ! [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))
% 47.67/15.69 | (125) leq(n0, pv20) = 0
% 47.67/15.69 | (126) gt(n410, n330) = 0
% 47.67/15.69 | (127) gt(n410, n1) = 0
% 47.67/15.69 | (128) ? [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))))
% 47.67/15.69 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 47.67/15.69 | (130) succ(n2) = n3
% 47.67/15.69 | (131) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 47.67/15.69 | (132) succ(n4) = n5
% 47.67/15.69 | (133) ? [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))))
% 47.67/15.69 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 47.67/15.69 | (135) gt(n410, n4) = 0
% 47.67/15.69 | (136) ? [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))))
% 47.67/15.69 | (137) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 47.67/15.69 | (138) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 47.67/15.69 | (139) ~ (def = use)
% 47.67/15.69 | (140) ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) | ? [v1] : ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 47.67/15.69 | (141) gt(n5, n3) = 0
% 47.67/15.69 | (142) leq(pv19, all_0_10_10) = 0
% 47.67/15.69 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 47.67/15.69 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 47.67/15.69 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 47.67/15.69 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 47.67/15.69 | (147) leq(n0, s_sworst7) = 0
% 47.67/15.69 | (148) gt(n330, n0) = 0
% 47.67/15.69 | (149) gt(n1, n0) = 0
% 47.67/15.69 | (150) leq(s_best7, n3) = 0
% 47.67/15.69 | (151) leq(s_sworst7, n3) = 0
% 47.67/15.69 | (152) gt(n410, n2) = 0
% 47.67/15.69 |
% 47.67/15.69 | Instantiating formula (46) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 47.67/15.69 | (153) pred(n3) = all_0_8_8
% 47.67/15.69 |
% 47.67/15.69 | Instantiating formula (81) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 47.67/15.69 | (154) pred(n3) = n2
% 47.67/15.69 |
% 47.67/15.69 | Instantiating formula (33) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 47.67/15.69 | (155) all_0_8_8 = n2
% 47.67/15.69 |
% 47.67/15.69 +-Applying beta-rule and splitting (104), into two cases.
% 47.67/15.69 |-Branch one:
% 47.67/15.69 | (156) ~ (all_0_7_7 = 0)
% 47.67/15.69 |
% 47.67/15.69 +-Applying beta-rule and splitting (90), into two cases.
% 47.67/15.69 |-Branch one:
% 47.67/15.69 | (157) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 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, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (157), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (158) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (158), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (159) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (159), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (160) 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
% 47.67/15.70 |
% 47.67/15.70 | Applying alpha-rule on (160) yields:
% 47.67/15.70 | (161) leq(all_0_6_6, n2) = 0
% 47.67/15.70 | (162) all_0_5_5 = 0
% 47.67/15.70 | (163) all_0_1_1 = 0
% 47.67/15.70 | (164) all_0_4_4 = 0
% 47.67/15.70 | (165) leq(n0, all_0_6_6) = 0
% 47.67/15.70 | (166) ~ (all_0_0_0 = init)
% 47.67/15.70 | (167) leq(n0, all_0_3_3) = 0
% 47.67/15.70 | (168) all_0_2_2 = 0
% 47.67/15.70 | (169) leq(all_0_3_3, n3) = 0
% 47.67/15.70 | (170) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (91) 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:
% 47.67/15.70 | (171) 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))))
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (140) with all_0_6_6 yields:
% 47.67/15.70 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (171), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (173) all_0_0_0 = init
% 47.67/15.70 |
% 47.67/15.70 | Equations (173) can reduce 166 to:
% 47.67/15.70 | (174) $false
% 47.67/15.70 |
% 47.67/15.70 |-The branch is then unsatisfiable
% 47.67/15.70 |-Branch two:
% 47.67/15.70 | (166) ~ (all_0_0_0 = init)
% 47.67/15.70 | (176) ? [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))))
% 47.67/15.70 |
% 47.67/15.70 | Instantiating (176) with all_1134_0_112, all_1134_1_113 yields:
% 47.67/15.70 | (177) ( ~ (all_1134_1_113 = 0) & leq(n0, all_0_6_6) = all_1134_1_113) | (leq(all_0_3_3, n3) = all_1134_0_112 & leq(n0, all_0_3_3) = all_1134_1_113 & ( ~ (all_1134_0_112 = 0) | ~ (all_1134_1_113 = 0)))
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (177), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (178) ~ (all_1134_1_113 = 0) & leq(n0, all_0_6_6) = all_1134_1_113
% 47.67/15.70 |
% 47.67/15.70 | Applying alpha-rule on (178) yields:
% 47.67/15.70 | (179) ~ (all_1134_1_113 = 0)
% 47.67/15.70 | (180) leq(n0, all_0_6_6) = all_1134_1_113
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (172), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 47.67/15.70 |
% 47.67/15.70 | From (155) and (181) follows:
% 47.67/15.70 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 47.67/15.70 |
% 47.67/15.70 | Using (161) and (182) yields:
% 47.67/15.70 | (183) $false
% 47.67/15.70 |
% 47.67/15.70 |-The branch is then unsatisfiable
% 47.67/15.70 |-Branch two:
% 47.67/15.70 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 47.67/15.70 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.70 |
% 47.67/15.70 | Instantiating (185) with all_1208_0_124, all_1208_1_125 yields:
% 47.67/15.70 | (186) a_select2(s_try7_init, all_0_6_6) = all_1208_0_124 & leq(n0, all_0_6_6) = all_1208_1_125 & ( ~ (all_1208_1_125 = 0) | all_1208_0_124 = init)
% 47.67/15.70 |
% 47.67/15.70 | Applying alpha-rule on (186) yields:
% 47.67/15.70 | (187) a_select2(s_try7_init, all_0_6_6) = all_1208_0_124
% 47.67/15.70 | (188) leq(n0, all_0_6_6) = all_1208_1_125
% 47.67/15.70 | (189) ~ (all_1208_1_125 = 0) | all_1208_0_124 = init
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (115) with n0, all_0_6_6, all_1208_1_125, 0 and discharging atoms leq(n0, all_0_6_6) = all_1208_1_125, leq(n0, all_0_6_6) = 0, yields:
% 47.67/15.70 | (190) all_1208_1_125 = 0
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (115) with n0, all_0_6_6, all_1134_1_113, all_1208_1_125 and discharging atoms leq(n0, all_0_6_6) = all_1208_1_125, leq(n0, all_0_6_6) = all_1134_1_113, yields:
% 47.67/15.70 | (191) all_1208_1_125 = all_1134_1_113
% 47.67/15.70 |
% 47.67/15.70 | Combining equations (190,191) yields a new equation:
% 47.67/15.70 | (192) all_1134_1_113 = 0
% 47.67/15.70 |
% 47.67/15.70 | Equations (192) can reduce 179 to:
% 47.67/15.70 | (174) $false
% 47.67/15.70 |
% 47.67/15.70 |-The branch is then unsatisfiable
% 47.67/15.70 |-Branch two:
% 47.67/15.70 | (194) leq(all_0_3_3, n3) = all_1134_0_112 & leq(n0, all_0_3_3) = all_1134_1_113 & ( ~ (all_1134_0_112 = 0) | ~ (all_1134_1_113 = 0))
% 47.67/15.70 |
% 47.67/15.70 | Applying alpha-rule on (194) yields:
% 47.67/15.70 | (195) leq(all_0_3_3, n3) = all_1134_0_112
% 47.67/15.70 | (196) leq(n0, all_0_3_3) = all_1134_1_113
% 47.67/15.70 | (197) ~ (all_1134_0_112 = 0) | ~ (all_1134_1_113 = 0)
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (115) with all_0_3_3, n3, all_1134_0_112, 0 and discharging atoms leq(all_0_3_3, n3) = all_1134_0_112, leq(all_0_3_3, n3) = 0, yields:
% 47.67/15.70 | (198) all_1134_0_112 = 0
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (115) with n0, all_0_3_3, all_1134_1_113, 0 and discharging atoms leq(n0, all_0_3_3) = all_1134_1_113, leq(n0, all_0_3_3) = 0, yields:
% 47.67/15.70 | (192) all_1134_1_113 = 0
% 47.67/15.70 |
% 47.67/15.70 +-Applying beta-rule and splitting (197), into two cases.
% 47.67/15.70 |-Branch one:
% 47.67/15.70 | (200) ~ (all_1134_0_112 = 0)
% 47.67/15.70 |
% 47.67/15.70 | Equations (198) can reduce 200 to:
% 47.67/15.70 | (174) $false
% 47.67/15.70 |
% 47.67/15.70 |-The branch is then unsatisfiable
% 47.67/15.70 |-Branch two:
% 47.67/15.70 | (198) all_1134_0_112 = 0
% 47.67/15.70 | (179) ~ (all_1134_1_113 = 0)
% 47.67/15.70 |
% 47.67/15.70 | Equations (192) can reduce 179 to:
% 47.67/15.70 | (174) $false
% 47.67/15.70 |
% 47.67/15.70 |-The branch is then unsatisfiable
% 47.67/15.70 |-Branch two:
% 47.67/15.70 | (205) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 47.67/15.70 |
% 47.67/15.70 | Applying alpha-rule on (205) yields:
% 47.67/15.70 | (162) all_0_5_5 = 0
% 47.67/15.70 | (164) all_0_4_4 = 0
% 47.67/15.70 | (165) leq(n0, all_0_6_6) = 0
% 47.67/15.70 | (209) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 47.67/15.70 | (210) ~ (all_0_3_3 = init)
% 47.67/15.70 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 47.67/15.70 |
% 47.67/15.70 | From (155) and (184) follows:
% 47.67/15.70 | (161) leq(all_0_6_6, n2) = 0
% 47.67/15.70 |
% 47.67/15.70 | Instantiating formula (140) with all_0_6_6 yields:
% 47.67/15.70 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (172), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 47.67/15.71 |
% 47.67/15.71 | From (155) and (181) follows:
% 47.67/15.71 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 47.67/15.71 |
% 47.67/15.71 | Using (161) and (182) yields:
% 47.67/15.71 | (183) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 47.67/15.71 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.71 |
% 47.67/15.71 | Instantiating (185) with all_1015_0_159, all_1015_1_160 yields:
% 47.67/15.71 | (219) a_select2(s_try7_init, all_0_6_6) = all_1015_0_159 & leq(n0, all_0_6_6) = all_1015_1_160 & ( ~ (all_1015_1_160 = 0) | all_1015_0_159 = init)
% 47.67/15.71 |
% 47.67/15.71 | Applying alpha-rule on (219) yields:
% 47.67/15.71 | (220) a_select2(s_try7_init, all_0_6_6) = all_1015_0_159
% 47.67/15.71 | (221) leq(n0, all_0_6_6) = all_1015_1_160
% 47.67/15.71 | (222) ~ (all_1015_1_160 = 0) | all_1015_0_159 = init
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (77) with s_try7_init, all_0_6_6, all_1015_0_159, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_1015_0_159, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 47.67/15.71 | (223) all_1015_0_159 = all_0_3_3
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (115) with n0, all_0_6_6, all_1015_1_160, 0 and discharging atoms leq(n0, all_0_6_6) = all_1015_1_160, leq(n0, all_0_6_6) = 0, yields:
% 47.67/15.71 | (224) all_1015_1_160 = 0
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (222), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (225) ~ (all_1015_1_160 = 0)
% 47.67/15.71 |
% 47.67/15.71 | Equations (224) can reduce 225 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (224) all_1015_1_160 = 0
% 47.67/15.71 | (228) all_1015_0_159 = init
% 47.67/15.71 |
% 47.67/15.71 | Combining equations (228,223) yields a new equation:
% 47.67/15.71 | (229) all_0_3_3 = init
% 47.67/15.71 |
% 47.67/15.71 | Equations (229) can reduce 210 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (231) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 47.67/15.71 |
% 47.67/15.71 | Applying alpha-rule on (231) yields:
% 47.67/15.71 | (161) leq(all_0_6_6, n2) = 0
% 47.67/15.71 | (162) all_0_5_5 = 0
% 47.67/15.71 | (164) all_0_4_4 = 0
% 47.67/15.71 | (165) leq(n0, all_0_6_6) = 0
% 47.67/15.71 | (236) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 47.67/15.71 | (210) ~ (all_0_3_3 = init)
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (75) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 47.67/15.71 | (238) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (140) with all_0_6_6 yields:
% 47.67/15.71 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (172), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 47.67/15.71 |
% 47.67/15.71 | From (155) and (181) follows:
% 47.67/15.71 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 47.67/15.71 |
% 47.67/15.71 | Using (161) and (182) yields:
% 47.67/15.71 | (183) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 47.67/15.71 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 47.67/15.71 |
% 47.67/15.71 | From (155) and (184) follows:
% 47.67/15.71 | (161) leq(all_0_6_6, n2) = 0
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (238), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (229) all_0_3_3 = init
% 47.67/15.71 |
% 47.67/15.71 | Equations (229) can reduce 210 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (210) ~ (all_0_3_3 = init)
% 47.67/15.71 | (249) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 47.67/15.71 |
% 47.67/15.71 | Instantiating (249) with all_1044_0_221, all_1044_1_222 yields:
% 47.67/15.71 | (250) leq(all_0_6_6, n2) = all_1044_0_221 & leq(n0, all_0_6_6) = all_1044_1_222 & ( ~ (all_1044_0_221 = 0) | ~ (all_1044_1_222 = 0))
% 47.67/15.71 |
% 47.67/15.71 | Applying alpha-rule on (250) yields:
% 47.67/15.71 | (251) leq(all_0_6_6, n2) = all_1044_0_221
% 47.67/15.71 | (252) leq(n0, all_0_6_6) = all_1044_1_222
% 47.67/15.71 | (253) ~ (all_1044_0_221 = 0) | ~ (all_1044_1_222 = 0)
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (115) with all_0_6_6, n2, all_1044_0_221, 0 and discharging atoms leq(all_0_6_6, n2) = all_1044_0_221, leq(all_0_6_6, n2) = 0, yields:
% 47.67/15.71 | (254) all_1044_0_221 = 0
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (115) with n0, all_0_6_6, all_1044_1_222, 0 and discharging atoms leq(n0, all_0_6_6) = all_1044_1_222, leq(n0, all_0_6_6) = 0, yields:
% 47.67/15.71 | (255) all_1044_1_222 = 0
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (253), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (256) ~ (all_1044_0_221 = 0)
% 47.67/15.71 |
% 47.67/15.71 | Equations (254) can reduce 256 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (254) all_1044_0_221 = 0
% 47.67/15.71 | (259) ~ (all_1044_1_222 = 0)
% 47.67/15.71 |
% 47.67/15.71 | Equations (255) can reduce 259 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (261) 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, n3) = 0 & leq(n0, all_0_6_6) = 0
% 47.67/15.71 |
% 47.67/15.71 | Applying alpha-rule on (261) yields:
% 47.67/15.71 | (162) all_0_5_5 = 0
% 47.67/15.71 | (164) all_0_4_4 = 0
% 47.67/15.71 | (165) leq(n0, all_0_6_6) = 0
% 47.67/15.71 | (265) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 47.67/15.71 | (266) leq(all_0_6_6, n3) = 0
% 47.67/15.71 | (210) ~ (all_0_3_3 = init)
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (53) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 47.67/15.71 | (268) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 47.67/15.71 |
% 47.67/15.71 +-Applying beta-rule and splitting (268), into two cases.
% 47.67/15.71 |-Branch one:
% 47.67/15.71 | (229) all_0_3_3 = init
% 47.67/15.71 |
% 47.67/15.71 | Equations (229) can reduce 210 to:
% 47.67/15.71 | (174) $false
% 47.67/15.71 |
% 47.67/15.71 |-The branch is then unsatisfiable
% 47.67/15.71 |-Branch two:
% 47.67/15.71 | (210) ~ (all_0_3_3 = init)
% 47.67/15.71 | (272) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 47.67/15.71 |
% 47.67/15.71 | Instantiating (272) with all_986_0_270, all_986_1_271 yields:
% 47.67/15.71 | (273) leq(all_0_6_6, n3) = all_986_0_270 & leq(n0, all_0_6_6) = all_986_1_271 & ( ~ (all_986_0_270 = 0) | ~ (all_986_1_271 = 0))
% 47.67/15.71 |
% 47.67/15.71 | Applying alpha-rule on (273) yields:
% 47.67/15.71 | (274) leq(all_0_6_6, n3) = all_986_0_270
% 47.67/15.71 | (275) leq(n0, all_0_6_6) = all_986_1_271
% 47.67/15.71 | (276) ~ (all_986_0_270 = 0) | ~ (all_986_1_271 = 0)
% 47.67/15.71 |
% 47.67/15.71 | Instantiating formula (115) with all_0_6_6, n3, all_986_0_270, 0 and discharging atoms leq(all_0_6_6, n3) = all_986_0_270, leq(all_0_6_6, n3) = 0, yields:
% 48.09/15.71 | (277) all_986_0_270 = 0
% 48.09/15.71 |
% 48.09/15.71 | Instantiating formula (115) with n0, all_0_6_6, all_986_1_271, 0 and discharging atoms leq(n0, all_0_6_6) = all_986_1_271, leq(n0, all_0_6_6) = 0, yields:
% 48.09/15.71 | (278) all_986_1_271 = 0
% 48.09/15.71 |
% 48.09/15.71 +-Applying beta-rule and splitting (276), into two cases.
% 48.09/15.71 |-Branch one:
% 48.09/15.71 | (279) ~ (all_986_0_270 = 0)
% 48.09/15.71 |
% 48.09/15.71 | Equations (277) can reduce 279 to:
% 48.09/15.71 | (174) $false
% 48.09/15.71 |
% 48.09/15.71 |-The branch is then unsatisfiable
% 48.09/15.71 |-Branch two:
% 48.09/15.71 | (277) all_986_0_270 = 0
% 48.09/15.71 | (282) ~ (all_986_1_271 = 0)
% 48.09/15.71 |
% 48.09/15.71 | Equations (278) can reduce 282 to:
% 48.09/15.71 | (174) $false
% 48.09/15.71 |
% 48.09/15.71 |-The branch is then unsatisfiable
% 48.09/15.71 |-Branch two:
% 48.09/15.71 | (284) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 48.09/15.71 |
% 48.09/15.71 | Applying alpha-rule on (284) yields:
% 48.09/15.71 | (285) all_0_7_7 = 0
% 48.09/15.71 | (286) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 48.09/15.71 |
% 48.09/15.71 | Equations (285) can reduce 156 to:
% 48.09/15.71 | (174) $false
% 48.09/15.71 |
% 48.09/15.71 |-The branch is then unsatisfiable
% 48.09/15.71 |-Branch two:
% 48.09/15.71 | (285) all_0_7_7 = 0
% 48.09/15.71 | (289) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 48.09/15.71 |
% 48.09/15.71 | Applying alpha-rule on (289) yields:
% 48.09/15.71 | (290) pvar1402_init = init
% 48.09/15.71 | (291) pvar1401_init = init
% 48.09/15.71 | (292) pvar1400_init = init
% 48.09/15.71 |
% 48.09/15.71 +-Applying beta-rule and splitting (90), into two cases.
% 48.09/15.71 |-Branch one:
% 48.09/15.71 | (157) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 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, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (157), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (158) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 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_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (158), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (159) (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_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (159), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (160) 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
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (160) yields:
% 48.09/15.72 | (161) leq(all_0_6_6, n2) = 0
% 48.09/15.72 | (162) all_0_5_5 = 0
% 48.09/15.72 | (163) all_0_1_1 = 0
% 48.09/15.72 | (164) all_0_4_4 = 0
% 48.09/15.72 | (165) leq(n0, all_0_6_6) = 0
% 48.09/15.72 | (166) ~ (all_0_0_0 = init)
% 48.09/15.72 | (167) leq(n0, all_0_3_3) = 0
% 48.09/15.72 | (168) all_0_2_2 = 0
% 48.09/15.72 | (169) leq(all_0_3_3, n3) = 0
% 48.09/15.72 | (170) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (91) 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:
% 48.09/15.72 | (171) 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))))
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (140) with all_0_6_6 yields:
% 48.09/15.72 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (172), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 48.09/15.72 |
% 48.09/15.72 | From (155) and (181) follows:
% 48.09/15.72 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 48.09/15.72 |
% 48.09/15.72 | Using (161) and (182) yields:
% 48.09/15.72 | (183) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 48.09/15.72 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.72 |
% 48.09/15.72 | Instantiating (185) with all_882_0_316, all_882_1_317 yields:
% 48.09/15.72 | (314) a_select2(s_try7_init, all_0_6_6) = all_882_0_316 & leq(n0, all_0_6_6) = all_882_1_317 & ( ~ (all_882_1_317 = 0) | all_882_0_316 = init)
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (314) yields:
% 48.09/15.72 | (315) a_select2(s_try7_init, all_0_6_6) = all_882_0_316
% 48.09/15.72 | (316) leq(n0, all_0_6_6) = all_882_1_317
% 48.09/15.72 | (317) ~ (all_882_1_317 = 0) | all_882_0_316 = init
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (171), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (173) all_0_0_0 = init
% 48.09/15.72 |
% 48.09/15.72 | Equations (173) can reduce 166 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (166) ~ (all_0_0_0 = init)
% 48.09/15.72 | (176) ? [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))))
% 48.09/15.72 |
% 48.09/15.72 | Instantiating (176) with all_888_0_318, all_888_1_319 yields:
% 48.09/15.72 | (322) ( ~ (all_888_1_319 = 0) & leq(n0, all_0_6_6) = all_888_1_319) | (leq(all_0_3_3, n3) = all_888_0_318 & leq(n0, all_0_3_3) = all_888_1_319 & ( ~ (all_888_0_318 = 0) | ~ (all_888_1_319 = 0)))
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (322), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (323) ~ (all_888_1_319 = 0) & leq(n0, all_0_6_6) = all_888_1_319
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (323) yields:
% 48.09/15.72 | (324) ~ (all_888_1_319 = 0)
% 48.09/15.72 | (325) leq(n0, all_0_6_6) = all_888_1_319
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (115) with n0, all_0_6_6, all_888_1_319, 0 and discharging atoms leq(n0, all_0_6_6) = all_888_1_319, leq(n0, all_0_6_6) = 0, yields:
% 48.09/15.72 | (326) all_888_1_319 = 0
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (115) with n0, all_0_6_6, all_882_1_317, all_888_1_319 and discharging atoms leq(n0, all_0_6_6) = all_888_1_319, leq(n0, all_0_6_6) = all_882_1_317, yields:
% 48.09/15.72 | (327) all_888_1_319 = all_882_1_317
% 48.09/15.72 |
% 48.09/15.72 | Combining equations (326,327) yields a new equation:
% 48.09/15.72 | (328) all_882_1_317 = 0
% 48.09/15.72 |
% 48.09/15.72 | Combining equations (328,327) yields a new equation:
% 48.09/15.72 | (326) all_888_1_319 = 0
% 48.09/15.72 |
% 48.09/15.72 | Equations (326) can reduce 324 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (331) leq(all_0_3_3, n3) = all_888_0_318 & leq(n0, all_0_3_3) = all_888_1_319 & ( ~ (all_888_0_318 = 0) | ~ (all_888_1_319 = 0))
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (331) yields:
% 48.09/15.72 | (332) leq(all_0_3_3, n3) = all_888_0_318
% 48.09/15.72 | (333) leq(n0, all_0_3_3) = all_888_1_319
% 48.09/15.72 | (334) ~ (all_888_0_318 = 0) | ~ (all_888_1_319 = 0)
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (115) with all_0_3_3, n3, all_888_0_318, 0 and discharging atoms leq(all_0_3_3, n3) = all_888_0_318, leq(all_0_3_3, n3) = 0, yields:
% 48.09/15.72 | (335) all_888_0_318 = 0
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (115) with n0, all_0_3_3, all_888_1_319, 0 and discharging atoms leq(n0, all_0_3_3) = all_888_1_319, leq(n0, all_0_3_3) = 0, yields:
% 48.09/15.72 | (326) all_888_1_319 = 0
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (334), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (337) ~ (all_888_0_318 = 0)
% 48.09/15.72 |
% 48.09/15.72 | Equations (335) can reduce 337 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (335) all_888_0_318 = 0
% 48.09/15.72 | (324) ~ (all_888_1_319 = 0)
% 48.09/15.72 |
% 48.09/15.72 | Equations (326) can reduce 324 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (205) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (205) yields:
% 48.09/15.72 | (162) all_0_5_5 = 0
% 48.09/15.72 | (164) all_0_4_4 = 0
% 48.09/15.72 | (165) leq(n0, all_0_6_6) = 0
% 48.09/15.72 | (209) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 48.09/15.72 | (210) ~ (all_0_3_3 = init)
% 48.09/15.72 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 48.09/15.72 |
% 48.09/15.72 | From (155) and (184) follows:
% 48.09/15.72 | (161) leq(all_0_6_6, n2) = 0
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (140) with all_0_6_6 yields:
% 48.09/15.72 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (172), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 48.09/15.72 |
% 48.09/15.72 | From (155) and (181) follows:
% 48.09/15.72 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 48.09/15.72 |
% 48.09/15.72 | Using (161) and (182) yields:
% 48.09/15.72 | (183) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 48.09/15.72 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.72 |
% 48.09/15.72 | Instantiating (185) with all_851_0_398, all_851_1_399 yields:
% 48.09/15.72 | (356) a_select2(s_try7_init, all_0_6_6) = all_851_0_398 & leq(n0, all_0_6_6) = all_851_1_399 & ( ~ (all_851_1_399 = 0) | all_851_0_398 = init)
% 48.09/15.72 |
% 48.09/15.72 | Applying alpha-rule on (356) yields:
% 48.09/15.72 | (357) a_select2(s_try7_init, all_0_6_6) = all_851_0_398
% 48.09/15.72 | (358) leq(n0, all_0_6_6) = all_851_1_399
% 48.09/15.72 | (359) ~ (all_851_1_399 = 0) | all_851_0_398 = init
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (77) with s_try7_init, all_0_6_6, all_851_0_398, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_851_0_398, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 48.09/15.72 | (360) all_851_0_398 = all_0_3_3
% 48.09/15.72 |
% 48.09/15.72 | Instantiating formula (115) with n0, all_0_6_6, all_851_1_399, 0 and discharging atoms leq(n0, all_0_6_6) = all_851_1_399, leq(n0, all_0_6_6) = 0, yields:
% 48.09/15.72 | (361) all_851_1_399 = 0
% 48.09/15.72 |
% 48.09/15.72 +-Applying beta-rule and splitting (359), into two cases.
% 48.09/15.72 |-Branch one:
% 48.09/15.72 | (362) ~ (all_851_1_399 = 0)
% 48.09/15.72 |
% 48.09/15.72 | Equations (361) can reduce 362 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.72 |-Branch two:
% 48.09/15.72 | (361) all_851_1_399 = 0
% 48.09/15.72 | (365) all_851_0_398 = init
% 48.09/15.72 |
% 48.09/15.72 | Combining equations (365,360) yields a new equation:
% 48.09/15.72 | (229) all_0_3_3 = init
% 48.09/15.72 |
% 48.09/15.72 | Equations (229) can reduce 210 to:
% 48.09/15.72 | (174) $false
% 48.09/15.72 |
% 48.09/15.72 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (231) all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 48.09/15.73 |
% 48.09/15.73 | Applying alpha-rule on (231) yields:
% 48.09/15.73 | (161) leq(all_0_6_6, n2) = 0
% 48.09/15.73 | (162) all_0_5_5 = 0
% 48.09/15.73 | (164) all_0_4_4 = 0
% 48.09/15.73 | (165) leq(n0, all_0_6_6) = 0
% 48.09/15.73 | (236) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 48.09/15.73 | (210) ~ (all_0_3_3 = init)
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (75) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 48.09/15.73 | (238) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (140) with all_0_6_6 yields:
% 48.09/15.73 | (172) ~ (leq(all_0_6_6, all_0_8_8) = 0) | ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (172), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (181) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 48.09/15.73 |
% 48.09/15.73 | From (155) and (181) follows:
% 48.09/15.73 | (182) ~ (leq(all_0_6_6, n2) = 0)
% 48.09/15.73 |
% 48.09/15.73 | Using (161) and (182) yields:
% 48.09/15.73 | (183) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (184) leq(all_0_6_6, all_0_8_8) = 0
% 48.09/15.73 | (185) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 48.09/15.73 |
% 48.09/15.73 | From (155) and (184) follows:
% 48.09/15.73 | (161) leq(all_0_6_6, n2) = 0
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (238), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (229) all_0_3_3 = init
% 48.09/15.73 |
% 48.09/15.73 | Equations (229) can reduce 210 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (210) ~ (all_0_3_3 = init)
% 48.09/15.73 | (249) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 48.09/15.73 |
% 48.09/15.73 | Instantiating (249) with all_1090_0_483, all_1090_1_484 yields:
% 48.09/15.73 | (387) leq(all_0_6_6, n2) = all_1090_0_483 & leq(n0, all_0_6_6) = all_1090_1_484 & ( ~ (all_1090_0_483 = 0) | ~ (all_1090_1_484 = 0))
% 48.09/15.73 |
% 48.09/15.73 | Applying alpha-rule on (387) yields:
% 48.09/15.73 | (388) leq(all_0_6_6, n2) = all_1090_0_483
% 48.09/15.73 | (389) leq(n0, all_0_6_6) = all_1090_1_484
% 48.09/15.73 | (390) ~ (all_1090_0_483 = 0) | ~ (all_1090_1_484 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (115) with all_0_6_6, n2, all_1090_0_483, 0 and discharging atoms leq(all_0_6_6, n2) = all_1090_0_483, leq(all_0_6_6, n2) = 0, yields:
% 48.09/15.73 | (391) all_1090_0_483 = 0
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (115) with n0, all_0_6_6, all_1090_1_484, 0 and discharging atoms leq(n0, all_0_6_6) = all_1090_1_484, leq(n0, all_0_6_6) = 0, yields:
% 48.09/15.73 | (392) all_1090_1_484 = 0
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (390), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (393) ~ (all_1090_0_483 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Equations (391) can reduce 393 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (391) all_1090_0_483 = 0
% 48.09/15.73 | (396) ~ (all_1090_1_484 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Equations (392) can reduce 396 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (261) 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, n3) = 0 & leq(n0, all_0_6_6) = 0
% 48.09/15.73 |
% 48.09/15.73 | Applying alpha-rule on (261) yields:
% 48.09/15.73 | (162) all_0_5_5 = 0
% 48.09/15.73 | (164) all_0_4_4 = 0
% 48.09/15.73 | (165) leq(n0, all_0_6_6) = 0
% 48.09/15.73 | (265) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 48.09/15.73 | (266) leq(all_0_6_6, n3) = 0
% 48.09/15.73 | (210) ~ (all_0_3_3 = init)
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (53) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 48.09/15.73 | (268) all_0_3_3 = init | ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (268), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (229) all_0_3_3 = init
% 48.09/15.73 |
% 48.09/15.73 | Equations (229) can reduce 210 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (210) ~ (all_0_3_3 = init)
% 48.09/15.73 | (272) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 48.09/15.73 |
% 48.09/15.73 | Instantiating (272) with all_988_0_515, all_988_1_516 yields:
% 48.09/15.73 | (410) leq(all_0_6_6, n3) = all_988_0_515 & leq(n0, all_0_6_6) = all_988_1_516 & ( ~ (all_988_0_515 = 0) | ~ (all_988_1_516 = 0))
% 48.09/15.73 |
% 48.09/15.73 | Applying alpha-rule on (410) yields:
% 48.09/15.73 | (411) leq(all_0_6_6, n3) = all_988_0_515
% 48.09/15.73 | (412) leq(n0, all_0_6_6) = all_988_1_516
% 48.09/15.73 | (413) ~ (all_988_0_515 = 0) | ~ (all_988_1_516 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (115) with all_0_6_6, n3, all_988_0_515, 0 and discharging atoms leq(all_0_6_6, n3) = all_988_0_515, leq(all_0_6_6, n3) = 0, yields:
% 48.09/15.73 | (414) all_988_0_515 = 0
% 48.09/15.73 |
% 48.09/15.73 | Instantiating formula (115) with n0, all_0_6_6, all_988_1_516, 0 and discharging atoms leq(n0, all_0_6_6) = all_988_1_516, leq(n0, all_0_6_6) = 0, yields:
% 48.09/15.73 | (415) all_988_1_516 = 0
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (413), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (416) ~ (all_988_0_515 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Equations (414) can reduce 416 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (414) all_988_0_515 = 0
% 48.09/15.73 | (419) ~ (all_988_1_516 = 0)
% 48.09/15.73 |
% 48.09/15.73 | Equations (415) can reduce 419 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (284) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 48.09/15.73 |
% 48.09/15.73 | Applying alpha-rule on (284) yields:
% 48.09/15.73 | (285) all_0_7_7 = 0
% 48.09/15.73 | (286) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (286), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (424) ~ (pvar1402_init = init)
% 48.09/15.73 |
% 48.09/15.73 | Equations (290) can reduce 424 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (290) pvar1402_init = init
% 48.09/15.73 | (427) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 48.09/15.73 |
% 48.09/15.73 +-Applying beta-rule and splitting (427), into two cases.
% 48.09/15.73 |-Branch one:
% 48.09/15.73 | (428) ~ (pvar1401_init = init)
% 48.09/15.73 |
% 48.09/15.73 | Equations (291) can reduce 428 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 |-Branch two:
% 48.09/15.73 | (291) pvar1401_init = init
% 48.09/15.73 | (431) ~ (pvar1400_init = init)
% 48.09/15.73 |
% 48.09/15.73 | Equations (292) can reduce 431 to:
% 48.09/15.73 | (174) $false
% 48.09/15.73 |
% 48.09/15.73 |-The branch is then unsatisfiable
% 48.09/15.73 % SZS output end Proof for theBenchmark
% 48.09/15.73
% 48.09/15.73 15147ms
%------------------------------------------------------------------------------