TSTP Solution File: SWV026+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV026+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 17:49:46 EDT 2022
% Result : Theorem 27.80s 7.46s
% Output : Proof 53.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV026+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 06:11:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.62/0.64 ____ _
% 0.62/0.64 ___ / __ \_____(_)___ ________ __________
% 0.62/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.62/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.62/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.64
% 0.62/0.64 A Theorem Prover for First-Order Logic
% 0.62/0.64 (ePrincess v.1.0)
% 0.62/0.64
% 0.62/0.64 (c) Philipp Rümmer, 2009-2015
% 0.62/0.64 (c) Peter Backeman, 2014-2015
% 0.62/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.65 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.65 Bug reports to peter@backeman.se
% 0.62/0.65
% 0.62/0.65 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.65
% 0.62/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.57/1.19 Prover 0: Preprocessing ...
% 4.62/1.72 Prover 0: Warning: ignoring some quantifiers
% 4.62/1.76 Prover 0: Constructing countermodel ...
% 21.35/5.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.66/6.07 Prover 1: Preprocessing ...
% 22.75/6.27 Prover 1: Warning: ignoring some quantifiers
% 22.75/6.28 Prover 1: Constructing countermodel ...
% 27.80/7.46 Prover 1: proved (1474ms)
% 27.80/7.46 Prover 0: stopped
% 27.80/7.46
% 27.80/7.46 No countermodel exists, formula is valid
% 27.80/7.46 % SZS status Theorem for theBenchmark
% 27.80/7.46
% 27.80/7.46 Generating proof ... Warning: ignoring some quantifiers
% 53.03/16.93 found it (size 188)
% 53.03/16.93
% 53.03/16.93 % SZS output start Proof for theBenchmark
% 53.03/16.93 Assumed formulas after preprocessing and simplification:
% 53.03/16.93 | (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(pv1376, n3) = 0 & leq(pv20, v1) = 0 & leq(pv19, v0) = 0 & leq(pv9, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv9) = 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)))))
% 53.09/17.01 | 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:
% 53.09/17.01 | (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(pv1376, n3) = 0 & leq(pv20, all_0_9_9) = 0 & leq(pv19, all_0_10_10) = 0 & leq(pv9, all_0_10_10) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv1376) = 0 & leq(n0, pv20) = 0 & leq(n0, pv19) = 0 & leq(n0, pv9) = 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))))
% 53.52/17.04 |
% 53.52/17.04 | Applying alpha-rule on (1) yields:
% 53.52/17.04 | (2) ? [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))))
% 53.52/17.04 | (3) gt(n330, n3) = 0
% 53.52/17.04 | (4) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 53.52/17.04 | (5) gt(n2, n1) = 0
% 53.52/17.04 | (6) true
% 53.52/17.05 | (7) gt(n4, n1) = 0
% 53.52/17.05 | (8) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.52/17.05 | (9) succ(n2) = n3
% 53.52/17.05 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 53.52/17.05 | (11) (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)))
% 53.52/17.05 | (12) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 53.52/17.05 | (13) ! [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))
% 53.52/17.05 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 53.52/17.05 | (15) ? [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))
% 53.52/17.05 | (16) gt(n410, n5) = 0
% 53.52/17.05 | (17) leq(n0, s_best7) = 0
% 53.52/17.05 | (18) gt(n410, n3) = 0
% 53.52/17.05 | (19) leq(pv1376, n3) = 0
% 53.52/17.05 | (20) gt(loopcounter, n1) = all_0_7_7
% 53.52/17.05 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 53.52/17.05 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 53.52/17.05 | (23) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.52/17.05 | (24) gt(n4, n2) = 0
% 53.52/17.05 | (25) gt(n330, n0) = 0
% 53.52/17.05 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 53.52/17.05 | (27) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 53.52/17.05 | (28) gt(n410, n4) = 0
% 53.52/17.05 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 53.52/17.05 | (30) ! [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))))
% 53.52/17.05 | (31) leq(s_best7, n3) = 0
% 53.52/17.05 | (32) succ(n0) = n1
% 53.52/17.05 | (33) gt(n3, n1) = 0
% 53.52/17.05 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 53.52/17.05 | (35) gt(n2, n0) = 0
% 53.52/17.05 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 53.52/17.05 | (37) gt(n330, n4) = 0
% 53.52/17.05 | (38) succ(n3) = n4
% 53.52/17.05 | (39) leq(pv19, all_0_10_10) = 0
% 53.52/17.05 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 53.52/17.05 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 53.52/17.05 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 53.52/17.05 | (43) ! [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)))))
% 53.52/17.05 | (44) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 53.52/17.05 | (45) gt(n330, n5) = 0
% 53.52/17.05 | (46) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 53.52/17.05 | (47) ? [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))))
% 53.52/17.05 | (48) gt(n410, n330) = 0
% 53.52/17.05 | (49) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 53.52/17.05 | (50) s_best7_init = init
% 53.52/17.05 | (51) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 53.52/17.05 | (52) gt(n330, n2) = 0
% 53.52/17.05 | (53) gt(n5, n3) = 0
% 53.52/17.06 | (54) minus(n330, n1) = all_0_9_9
% 53.52/17.06 | (55) ? [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))
% 53.52/17.06 | (56) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.52/17.06 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 53.52/17.06 | (58) leq(n0, s_worst7) = 0
% 53.52/17.06 | (59) gt(n3, tptp_minus_1) = 0
% 53.52/17.06 | (60) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 53.52/17.06 | (61) gt(n330, tptp_minus_1) = 0
% 53.52/17.06 | (62) leq(n0, s_sworst7) = 0
% 53.52/17.06 | (63) gt(n1, n0) = 0
% 53.52/17.06 | (64) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 53.52/17.06 | (65) gt(n5, n4) = 0
% 53.52/17.06 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 53.52/17.06 | (67) gt(n3, n0) = 0
% 53.52/17.06 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 53.52/17.06 | (69) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 53.52/17.06 | (70) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 53.52/17.06 | (71) leq(n0, pv1376) = 0
% 53.52/17.06 | (72) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 53.52/17.06 | (73) gt(n4, n0) = 0
% 53.52/17.06 | (74) ! [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))))
% 53.52/17.06 | (75) leq(s_worst7, n3) = 0
% 53.52/17.06 | (76) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 53.52/17.06 | (77) leq(n0, pv20) = 0
% 53.52/17.06 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 53.52/17.06 | (79) gt(n4, tptp_minus_1) = 0
% 53.52/17.06 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 53.52/17.06 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 53.52/17.06 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 53.52/17.06 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 53.52/17.06 | (84) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.52/17.06 | (85) succ(n4) = n5
% 53.52/17.06 | (86) ! [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)))))
% 53.52/17.06 | (87) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 53.52/17.06 | (88) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 53.52/17.06 | (89) gt(n410, n1) = 0
% 53.52/17.06 | (90) leq(n0, pv19) = 0
% 53.52/17.06 | (91) gt(n1, tptp_minus_1) = 0
% 53.52/17.06 | (92) gt(n3, n2) = 0
% 53.52/17.06 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 53.52/17.06 | (94) ! [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))))
% 53.52/17.06 | (95) gt(n5, n1) = 0
% 53.52/17.06 | (96) minus(n410, n1) = all_0_10_10
% 53.52/17.06 | (97) ? [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))))
% 53.52/17.06 | (98) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 53.52/17.06 | (99) ? [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))))
% 53.52/17.06 | (100) minus(n3, n1) = all_0_8_8
% 53.52/17.06 | (101) ! [v0] : ~ (gt(v0, v0) = 0)
% 53.52/17.07 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 53.52/17.07 | (103) ! [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))
% 53.52/17.07 | (104) leq(pv9, all_0_10_10) = 0
% 53.52/17.07 | (105) leq(n0, pv9) = 0
% 53.52/17.07 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 53.52/17.07 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 53.52/17.07 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 53.52/17.07 | (109) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 53.52/17.07 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 53.52/17.07 | (111) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 53.52/17.07 | (112) gt(n410, tptp_minus_1) = 0
% 53.52/17.07 | (113) gt(n5, tptp_minus_1) = 0
% 53.52/17.07 | (114) ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21))))
% 53.52/17.07 | (115) ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 53.52/17.07 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 53.52/17.07 | (117) s_sworst7_init = init
% 53.52/17.07 | (118) gt(n330, n1) = 0
% 53.52/17.07 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 53.52/17.07 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 53.52/17.07 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 53.52/17.07 | (122) succ(n1) = n2
% 53.52/17.07 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 53.52/17.07 | (124) ! [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)))))
% 53.52/17.07 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 53.52/17.07 | (126) s_worst7_init = init
% 53.52/17.07 | (127) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 53.52/17.07 | (128) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 53.52/17.07 | (129) ? [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))))
% 53.52/17.07 | (130) ! [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)))
% 53.52/17.07 | (131) leq(pv20, all_0_9_9) = 0
% 53.52/17.07 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 53.52/17.07 | (133) gt(n5, n0) = 0
% 53.52/17.07 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 53.52/17.07 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 53.52/17.07 | (136) leq(s_sworst7, n3) = 0
% 53.52/17.07 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 53.52/17.08 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 53.52/17.08 | (139) succ(tptp_minus_1) = n0
% 53.52/17.08 | (140) ~ (def = use)
% 53.52/17.08 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 53.52/17.08 | (142) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 53.52/17.08 | (143) gt(n0, tptp_minus_1) = 0
% 53.52/17.08 | (144) gt(n4, n3) = 0
% 53.52/17.08 | (145) ? [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))))
% 53.52/17.08 | (146) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 53.52/17.08 | (147) gt(n2, tptp_minus_1) = 0
% 53.52/17.08 | (148) gt(n5, n2) = 0
% 53.52/17.08 | (149) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 53.52/17.08 | (150) ! [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))))
% 53.52/17.08 | (151) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 53.52/17.08 | (152) gt(n410, n2) = 0
% 53.52/17.08 | (153) gt(n410, n0) = 0
% 53.52/17.08 | (154) ? [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))))
% 53.52/17.08 |
% 53.52/17.08 | Instantiating formula (60) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 53.52/17.08 | (155) pred(n3) = all_0_8_8
% 53.52/17.08 |
% 53.52/17.08 | Instantiating formula (128) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 53.52/17.08 | (156) pred(n3) = n2
% 53.52/17.08 |
% 53.52/17.08 | Instantiating formula (81) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 53.52/17.08 | (157) all_0_8_8 = n2
% 53.52/17.08 |
% 53.52/17.08 +-Applying beta-rule and splitting (115), into two cases.
% 53.52/17.08 |-Branch one:
% 53.52/17.08 | (158) ~ (all_0_7_7 = 0)
% 53.52/17.08 |
% 53.52/17.08 +-Applying beta-rule and splitting (11), into two cases.
% 53.52/17.08 |-Branch one:
% 53.52/17.08 | (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) | (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)
% 53.52/17.08 |
% 53.52/17.08 +-Applying beta-rule and splitting (159), into two cases.
% 53.52/17.08 |-Branch one:
% 53.52/17.08 | (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) | (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)
% 53.52/17.08 |
% 53.52/17.08 +-Applying beta-rule and splitting (160), into two cases.
% 53.52/17.08 |-Branch one:
% 53.52/17.08 | (161) (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)
% 53.52/17.08 |
% 53.52/17.08 +-Applying beta-rule and splitting (161), into two cases.
% 53.52/17.08 |-Branch one:
% 53.52/17.08 | (162) 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
% 53.52/17.08 |
% 53.52/17.08 | Applying alpha-rule on (162) yields:
% 53.52/17.08 | (163) leq(n0, all_0_3_3) = 0
% 53.52/17.08 | (164) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 53.52/17.08 | (165) leq(n0, all_0_6_6) = 0
% 53.52/17.09 | (166) all_0_2_2 = 0
% 53.52/17.09 | (167) all_0_4_4 = 0
% 53.52/17.09 | (168) leq(all_0_6_6, n2) = 0
% 53.52/17.09 | (169) leq(all_0_3_3, n3) = 0
% 53.52/17.09 | (170) all_0_5_5 = 0
% 53.52/17.09 | (171) all_0_1_1 = 0
% 53.52/17.09 | (172) ~ (all_0_0_0 = init)
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (86) 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:
% 53.52/17.09 | (173) 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))))
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (130) with all_0_6_6 yields:
% 53.52/17.09 | (174) ~ (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))
% 53.52/17.09 |
% 53.52/17.09 +-Applying beta-rule and splitting (174), into two cases.
% 53.52/17.09 |-Branch one:
% 53.52/17.09 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.52/17.09 |
% 53.52/17.09 | From (157) and (175) follows:
% 53.52/17.09 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.52/17.09 |
% 53.52/17.09 | Using (168) and (176) yields:
% 53.52/17.09 | (177) $false
% 53.52/17.09 |
% 53.52/17.09 |-The branch is then unsatisfiable
% 53.52/17.09 |-Branch two:
% 53.52/17.09 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.52/17.09 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.52/17.09 |
% 53.52/17.09 | Instantiating (179) with all_1130_0_112, all_1130_1_113 yields:
% 53.52/17.09 | (180) a_select2(s_try7_init, all_0_6_6) = all_1130_0_112 & leq(n0, all_0_6_6) = all_1130_1_113 & ( ~ (all_1130_1_113 = 0) | all_1130_0_112 = init)
% 53.52/17.09 |
% 53.52/17.09 | Applying alpha-rule on (180) yields:
% 53.52/17.09 | (181) a_select2(s_try7_init, all_0_6_6) = all_1130_0_112
% 53.52/17.09 | (182) leq(n0, all_0_6_6) = all_1130_1_113
% 53.52/17.09 | (183) ~ (all_1130_1_113 = 0) | all_1130_0_112 = init
% 53.52/17.09 |
% 53.52/17.09 +-Applying beta-rule and splitting (173), into two cases.
% 53.52/17.09 |-Branch one:
% 53.52/17.09 | (184) all_0_0_0 = init
% 53.52/17.09 |
% 53.52/17.09 | Equations (184) can reduce 172 to:
% 53.52/17.09 | (185) $false
% 53.52/17.09 |
% 53.52/17.09 |-The branch is then unsatisfiable
% 53.52/17.09 |-Branch two:
% 53.52/17.09 | (172) ~ (all_0_0_0 = init)
% 53.52/17.09 | (187) ? [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))))
% 53.52/17.09 |
% 53.52/17.09 | Instantiating (187) with all_1145_0_115, all_1145_1_116 yields:
% 53.52/17.09 | (188) ( ~ (all_1145_1_116 = 0) & leq(n0, all_0_6_6) = all_1145_1_116) | (leq(all_0_3_3, n3) = all_1145_0_115 & leq(n0, all_0_3_3) = all_1145_1_116 & ( ~ (all_1145_0_115 = 0) | ~ (all_1145_1_116 = 0)))
% 53.52/17.09 |
% 53.52/17.09 +-Applying beta-rule and splitting (188), into two cases.
% 53.52/17.09 |-Branch one:
% 53.52/17.09 | (189) ~ (all_1145_1_116 = 0) & leq(n0, all_0_6_6) = all_1145_1_116
% 53.52/17.09 |
% 53.52/17.09 | Applying alpha-rule on (189) yields:
% 53.52/17.09 | (190) ~ (all_1145_1_116 = 0)
% 53.52/17.09 | (191) leq(n0, all_0_6_6) = all_1145_1_116
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (78) with n0, all_0_6_6, all_1145_1_116, 0 and discharging atoms leq(n0, all_0_6_6) = all_1145_1_116, leq(n0, all_0_6_6) = 0, yields:
% 53.52/17.09 | (192) all_1145_1_116 = 0
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (78) with n0, all_0_6_6, all_1130_1_113, all_1145_1_116 and discharging atoms leq(n0, all_0_6_6) = all_1145_1_116, leq(n0, all_0_6_6) = all_1130_1_113, yields:
% 53.52/17.09 | (193) all_1145_1_116 = all_1130_1_113
% 53.52/17.09 |
% 53.52/17.09 | Combining equations (192,193) yields a new equation:
% 53.52/17.09 | (194) all_1130_1_113 = 0
% 53.52/17.09 |
% 53.52/17.09 | Combining equations (194,193) yields a new equation:
% 53.52/17.09 | (192) all_1145_1_116 = 0
% 53.52/17.09 |
% 53.52/17.09 | Equations (192) can reduce 190 to:
% 53.52/17.09 | (185) $false
% 53.52/17.09 |
% 53.52/17.09 |-The branch is then unsatisfiable
% 53.52/17.09 |-Branch two:
% 53.52/17.09 | (197) leq(all_0_3_3, n3) = all_1145_0_115 & leq(n0, all_0_3_3) = all_1145_1_116 & ( ~ (all_1145_0_115 = 0) | ~ (all_1145_1_116 = 0))
% 53.52/17.09 |
% 53.52/17.09 | Applying alpha-rule on (197) yields:
% 53.52/17.09 | (198) leq(all_0_3_3, n3) = all_1145_0_115
% 53.52/17.09 | (199) leq(n0, all_0_3_3) = all_1145_1_116
% 53.52/17.09 | (200) ~ (all_1145_0_115 = 0) | ~ (all_1145_1_116 = 0)
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (78) with all_0_3_3, n3, all_1145_0_115, 0 and discharging atoms leq(all_0_3_3, n3) = all_1145_0_115, leq(all_0_3_3, n3) = 0, yields:
% 53.52/17.09 | (201) all_1145_0_115 = 0
% 53.52/17.09 |
% 53.52/17.09 | Instantiating formula (78) with n0, all_0_3_3, all_1145_1_116, 0 and discharging atoms leq(n0, all_0_3_3) = all_1145_1_116, leq(n0, all_0_3_3) = 0, yields:
% 53.52/17.09 | (192) all_1145_1_116 = 0
% 53.52/17.09 |
% 53.52/17.09 +-Applying beta-rule and splitting (200), into two cases.
% 53.52/17.09 |-Branch one:
% 53.52/17.09 | (203) ~ (all_1145_0_115 = 0)
% 53.52/17.09 |
% 53.52/17.09 | Equations (201) can reduce 203 to:
% 53.52/17.09 | (185) $false
% 53.52/17.09 |
% 53.52/17.09 |-The branch is then unsatisfiable
% 53.52/17.09 |-Branch two:
% 53.52/17.09 | (201) all_1145_0_115 = 0
% 53.52/17.09 | (190) ~ (all_1145_1_116 = 0)
% 53.52/17.09 |
% 53.52/17.09 | Equations (192) can reduce 190 to:
% 53.52/17.09 | (185) $false
% 53.52/17.10 |
% 53.52/17.10 |-The branch is then unsatisfiable
% 53.52/17.10 |-Branch two:
% 53.52/17.10 | (208) 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
% 53.52/17.10 |
% 53.52/17.10 | Applying alpha-rule on (208) yields:
% 53.52/17.10 | (165) leq(n0, all_0_6_6) = 0
% 53.52/17.10 | (210) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 53.52/17.10 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.52/17.10 | (167) all_0_4_4 = 0
% 53.52/17.10 | (213) ~ (all_0_3_3 = init)
% 53.52/17.10 | (170) all_0_5_5 = 0
% 53.52/17.10 |
% 53.52/17.10 | From (157) and (178) follows:
% 53.52/17.10 | (168) leq(all_0_6_6, n2) = 0
% 53.52/17.10 |
% 53.52/17.10 | Instantiating formula (130) with all_0_6_6 yields:
% 53.52/17.10 | (174) ~ (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))
% 53.52/17.10 |
% 53.52/17.10 +-Applying beta-rule and splitting (174), into two cases.
% 53.52/17.10 |-Branch one:
% 53.52/17.10 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.52/17.10 |
% 53.52/17.10 | From (157) and (175) follows:
% 53.52/17.10 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.52/17.10 |
% 53.52/17.10 | Using (168) and (176) yields:
% 53.52/17.10 | (177) $false
% 53.52/17.10 |
% 53.52/17.10 |-The branch is then unsatisfiable
% 53.52/17.10 |-Branch two:
% 53.52/17.10 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.10 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.87/17.10 |
% 53.87/17.10 | Instantiating (179) with all_922_0_151, all_922_1_152 yields:
% 53.87/17.10 | (222) a_select2(s_try7_init, all_0_6_6) = all_922_0_151 & leq(n0, all_0_6_6) = all_922_1_152 & ( ~ (all_922_1_152 = 0) | all_922_0_151 = init)
% 53.87/17.10 |
% 53.87/17.10 | Applying alpha-rule on (222) yields:
% 53.87/17.10 | (223) a_select2(s_try7_init, all_0_6_6) = all_922_0_151
% 53.87/17.10 | (224) leq(n0, all_0_6_6) = all_922_1_152
% 53.87/17.10 | (225) ~ (all_922_1_152 = 0) | all_922_0_151 = init
% 53.87/17.10 |
% 53.87/17.10 | Instantiating formula (125) with s_try7_init, all_0_6_6, all_922_0_151, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_922_0_151, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 53.87/17.10 | (226) all_922_0_151 = all_0_3_3
% 53.87/17.10 |
% 53.87/17.10 | Instantiating formula (78) with n0, all_0_6_6, all_922_1_152, 0 and discharging atoms leq(n0, all_0_6_6) = all_922_1_152, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.10 | (227) all_922_1_152 = 0
% 53.87/17.10 |
% 53.87/17.10 +-Applying beta-rule and splitting (225), into two cases.
% 53.87/17.10 |-Branch one:
% 53.87/17.10 | (228) ~ (all_922_1_152 = 0)
% 53.87/17.10 |
% 53.87/17.10 | Equations (227) can reduce 228 to:
% 53.87/17.10 | (185) $false
% 53.87/17.10 |
% 53.87/17.10 |-The branch is then unsatisfiable
% 53.87/17.10 |-Branch two:
% 53.87/17.10 | (227) all_922_1_152 = 0
% 53.87/17.10 | (231) all_922_0_151 = init
% 53.87/17.10 |
% 53.87/17.10 | Combining equations (231,226) yields a new equation:
% 53.87/17.10 | (232) all_0_3_3 = init
% 53.87/17.10 |
% 53.87/17.10 | Equations (232) can reduce 213 to:
% 53.87/17.10 | (185) $false
% 53.87/17.10 |
% 53.87/17.10 |-The branch is then unsatisfiable
% 53.87/17.10 |-Branch two:
% 53.87/17.10 | (234) 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
% 53.87/17.10 |
% 53.87/17.10 | Applying alpha-rule on (234) yields:
% 53.87/17.10 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.10 | (167) all_0_4_4 = 0
% 53.87/17.10 | (237) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 53.87/17.10 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.10 | (213) ~ (all_0_3_3 = init)
% 53.87/17.10 | (170) all_0_5_5 = 0
% 53.87/17.10 |
% 53.87/17.10 | Instantiating formula (94) 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:
% 53.87/17.10 | (241) 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)))
% 53.87/17.10 |
% 53.87/17.10 | Instantiating formula (130) with all_0_6_6 yields:
% 53.87/17.10 | (174) ~ (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))
% 53.87/17.10 |
% 53.87/17.10 +-Applying beta-rule and splitting (174), into two cases.
% 53.87/17.10 |-Branch one:
% 53.87/17.10 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.87/17.10 |
% 53.87/17.10 | From (157) and (175) follows:
% 53.87/17.10 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.87/17.10 |
% 53.87/17.10 | Using (168) and (176) yields:
% 53.87/17.10 | (177) $false
% 53.87/17.10 |
% 53.87/17.10 |-The branch is then unsatisfiable
% 53.87/17.10 |-Branch two:
% 53.87/17.10 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.10 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.87/17.10 |
% 53.87/17.10 | From (157) and (178) follows:
% 53.87/17.10 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.10 |
% 53.87/17.11 +-Applying beta-rule and splitting (241), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (232) all_0_3_3 = init
% 53.87/17.11 |
% 53.87/17.11 | Equations (232) can reduce 213 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (213) ~ (all_0_3_3 = init)
% 53.87/17.11 | (252) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 53.87/17.11 |
% 53.87/17.11 | Instantiating (252) with all_1033_0_227, all_1033_1_228 yields:
% 53.87/17.11 | (253) leq(all_0_6_6, n2) = all_1033_0_227 & leq(n0, all_0_6_6) = all_1033_1_228 & ( ~ (all_1033_0_227 = 0) | ~ (all_1033_1_228 = 0))
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (253) yields:
% 53.87/17.11 | (254) leq(all_0_6_6, n2) = all_1033_0_227
% 53.87/17.11 | (255) leq(n0, all_0_6_6) = all_1033_1_228
% 53.87/17.11 | (256) ~ (all_1033_0_227 = 0) | ~ (all_1033_1_228 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (78) with all_0_6_6, n2, all_1033_0_227, 0 and discharging atoms leq(all_0_6_6, n2) = all_1033_0_227, leq(all_0_6_6, n2) = 0, yields:
% 53.87/17.11 | (257) all_1033_0_227 = 0
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (78) with n0, all_0_6_6, all_1033_1_228, 0 and discharging atoms leq(n0, all_0_6_6) = all_1033_1_228, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.11 | (258) all_1033_1_228 = 0
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (256), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (259) ~ (all_1033_0_227 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Equations (257) can reduce 259 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (257) all_1033_0_227 = 0
% 53.87/17.11 | (262) ~ (all_1033_1_228 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Equations (258) can reduce 262 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (264) 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
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (264) yields:
% 53.87/17.11 | (265) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 53.87/17.11 | (266) leq(all_0_6_6, n3) = 0
% 53.87/17.11 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.11 | (167) all_0_4_4 = 0
% 53.87/17.11 | (213) ~ (all_0_3_3 = init)
% 53.87/17.11 | (170) all_0_5_5 = 0
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (74) 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:
% 53.87/17.11 | (271) 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)))
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (271), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (232) all_0_3_3 = init
% 53.87/17.11 |
% 53.87/17.11 | Equations (232) can reduce 213 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (213) ~ (all_0_3_3 = init)
% 53.87/17.11 | (275) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 53.87/17.11 |
% 53.87/17.11 | Instantiating (275) with all_922_0_266, all_922_1_267 yields:
% 53.87/17.11 | (276) leq(all_0_6_6, n3) = all_922_0_266 & leq(n0, all_0_6_6) = all_922_1_267 & ( ~ (all_922_0_266 = 0) | ~ (all_922_1_267 = 0))
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (276) yields:
% 53.87/17.11 | (277) leq(all_0_6_6, n3) = all_922_0_266
% 53.87/17.11 | (278) leq(n0, all_0_6_6) = all_922_1_267
% 53.87/17.11 | (279) ~ (all_922_0_266 = 0) | ~ (all_922_1_267 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (78) with all_0_6_6, n3, all_922_0_266, 0 and discharging atoms leq(all_0_6_6, n3) = all_922_0_266, leq(all_0_6_6, n3) = 0, yields:
% 53.87/17.11 | (280) all_922_0_266 = 0
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (78) with n0, all_0_6_6, all_922_1_267, 0 and discharging atoms leq(n0, all_0_6_6) = all_922_1_267, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.11 | (281) all_922_1_267 = 0
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (279), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (282) ~ (all_922_0_266 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Equations (280) can reduce 282 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (280) all_922_0_266 = 0
% 53.87/17.11 | (285) ~ (all_922_1_267 = 0)
% 53.87/17.11 |
% 53.87/17.11 | Equations (281) can reduce 285 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (287) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (287) yields:
% 53.87/17.11 | (288) all_0_7_7 = 0
% 53.87/17.11 | (289) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 53.87/17.11 |
% 53.87/17.11 | Equations (288) can reduce 158 to:
% 53.87/17.11 | (185) $false
% 53.87/17.11 |
% 53.87/17.11 |-The branch is then unsatisfiable
% 53.87/17.11 |-Branch two:
% 53.87/17.11 | (288) all_0_7_7 = 0
% 53.87/17.11 | (292) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (292) yields:
% 53.87/17.11 | (293) pvar1402_init = init
% 53.87/17.11 | (294) pvar1401_init = init
% 53.87/17.11 | (295) pvar1400_init = init
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (11), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (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) | (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)
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (159), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (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) | (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)
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (160), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (161) (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)
% 53.87/17.11 |
% 53.87/17.11 +-Applying beta-rule and splitting (161), into two cases.
% 53.87/17.11 |-Branch one:
% 53.87/17.11 | (162) 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
% 53.87/17.11 |
% 53.87/17.11 | Applying alpha-rule on (162) yields:
% 53.87/17.11 | (163) leq(n0, all_0_3_3) = 0
% 53.87/17.11 | (164) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 53.87/17.11 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.11 | (166) all_0_2_2 = 0
% 53.87/17.11 | (167) all_0_4_4 = 0
% 53.87/17.11 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.11 | (169) leq(all_0_3_3, n3) = 0
% 53.87/17.11 | (170) all_0_5_5 = 0
% 53.87/17.11 | (171) all_0_1_1 = 0
% 53.87/17.11 | (172) ~ (all_0_0_0 = init)
% 53.87/17.11 |
% 53.87/17.11 | Instantiating formula (86) 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:
% 53.87/17.12 | (173) 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))))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (130) with all_0_6_6 yields:
% 53.87/17.12 | (174) ~ (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))
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (174), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.87/17.12 |
% 53.87/17.12 | From (157) and (175) follows:
% 53.87/17.12 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.87/17.12 |
% 53.87/17.12 | Using (168) and (176) yields:
% 53.87/17.12 | (177) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.12 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating (179) with all_983_0_338, all_983_1_339 yields:
% 53.87/17.12 | (317) a_select2(s_try7_init, all_0_6_6) = all_983_0_338 & leq(n0, all_0_6_6) = all_983_1_339 & ( ~ (all_983_1_339 = 0) | all_983_0_338 = init)
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (317) yields:
% 53.87/17.12 | (318) a_select2(s_try7_init, all_0_6_6) = all_983_0_338
% 53.87/17.12 | (319) leq(n0, all_0_6_6) = all_983_1_339
% 53.87/17.12 | (320) ~ (all_983_1_339 = 0) | all_983_0_338 = init
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (173), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (184) all_0_0_0 = init
% 53.87/17.12 |
% 53.87/17.12 | Equations (184) can reduce 172 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (172) ~ (all_0_0_0 = init)
% 53.87/17.12 | (187) ? [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))))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating (187) with all_993_0_340, all_993_1_341 yields:
% 53.87/17.12 | (325) ( ~ (all_993_1_341 = 0) & leq(n0, all_0_6_6) = all_993_1_341) | (leq(all_0_3_3, n3) = all_993_0_340 & leq(n0, all_0_3_3) = all_993_1_341 & ( ~ (all_993_0_340 = 0) | ~ (all_993_1_341 = 0)))
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (325), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (326) ~ (all_993_1_341 = 0) & leq(n0, all_0_6_6) = all_993_1_341
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (326) yields:
% 53.87/17.12 | (327) ~ (all_993_1_341 = 0)
% 53.87/17.12 | (328) leq(n0, all_0_6_6) = all_993_1_341
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (78) with n0, all_0_6_6, all_993_1_341, 0 and discharging atoms leq(n0, all_0_6_6) = all_993_1_341, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.12 | (329) all_993_1_341 = 0
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (78) with n0, all_0_6_6, all_983_1_339, all_993_1_341 and discharging atoms leq(n0, all_0_6_6) = all_993_1_341, leq(n0, all_0_6_6) = all_983_1_339, yields:
% 53.87/17.12 | (330) all_993_1_341 = all_983_1_339
% 53.87/17.12 |
% 53.87/17.12 | Combining equations (329,330) yields a new equation:
% 53.87/17.12 | (331) all_983_1_339 = 0
% 53.87/17.12 |
% 53.87/17.12 | Combining equations (331,330) yields a new equation:
% 53.87/17.12 | (329) all_993_1_341 = 0
% 53.87/17.12 |
% 53.87/17.12 | Equations (329) can reduce 327 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (334) leq(all_0_3_3, n3) = all_993_0_340 & leq(n0, all_0_3_3) = all_993_1_341 & ( ~ (all_993_0_340 = 0) | ~ (all_993_1_341 = 0))
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (334) yields:
% 53.87/17.12 | (335) leq(all_0_3_3, n3) = all_993_0_340
% 53.87/17.12 | (336) leq(n0, all_0_3_3) = all_993_1_341
% 53.87/17.12 | (337) ~ (all_993_0_340 = 0) | ~ (all_993_1_341 = 0)
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (78) with all_0_3_3, n3, all_993_0_340, 0 and discharging atoms leq(all_0_3_3, n3) = all_993_0_340, leq(all_0_3_3, n3) = 0, yields:
% 53.87/17.12 | (338) all_993_0_340 = 0
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (78) with n0, all_0_3_3, all_993_1_341, 0 and discharging atoms leq(n0, all_0_3_3) = all_993_1_341, leq(n0, all_0_3_3) = 0, yields:
% 53.87/17.12 | (329) all_993_1_341 = 0
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (337), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (340) ~ (all_993_0_340 = 0)
% 53.87/17.12 |
% 53.87/17.12 | Equations (338) can reduce 340 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (338) all_993_0_340 = 0
% 53.87/17.12 | (327) ~ (all_993_1_341 = 0)
% 53.87/17.12 |
% 53.87/17.12 | Equations (329) can reduce 327 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (208) 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
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (208) yields:
% 53.87/17.12 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.12 | (210) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 53.87/17.12 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.12 | (167) all_0_4_4 = 0
% 53.87/17.12 | (213) ~ (all_0_3_3 = init)
% 53.87/17.12 | (170) all_0_5_5 = 0
% 53.87/17.12 |
% 53.87/17.12 | From (157) and (178) follows:
% 53.87/17.12 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (130) with all_0_6_6 yields:
% 53.87/17.12 | (174) ~ (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))
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (174), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.87/17.12 |
% 53.87/17.12 | From (157) and (175) follows:
% 53.87/17.12 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.87/17.12 |
% 53.87/17.12 | Using (168) and (176) yields:
% 53.87/17.12 | (177) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.12 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating (179) with all_869_0_372, all_869_1_373 yields:
% 53.87/17.12 | (359) a_select2(s_try7_init, all_0_6_6) = all_869_0_372 & leq(n0, all_0_6_6) = all_869_1_373 & ( ~ (all_869_1_373 = 0) | all_869_0_372 = init)
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (359) yields:
% 53.87/17.12 | (360) a_select2(s_try7_init, all_0_6_6) = all_869_0_372
% 53.87/17.12 | (361) leq(n0, all_0_6_6) = all_869_1_373
% 53.87/17.12 | (362) ~ (all_869_1_373 = 0) | all_869_0_372 = init
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (125) with s_try7_init, all_0_6_6, all_869_0_372, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_869_0_372, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 53.87/17.12 | (363) all_869_0_372 = all_0_3_3
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (78) with n0, all_0_6_6, all_869_1_373, 0 and discharging atoms leq(n0, all_0_6_6) = all_869_1_373, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.12 | (364) all_869_1_373 = 0
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (362), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (365) ~ (all_869_1_373 = 0)
% 53.87/17.12 |
% 53.87/17.12 | Equations (364) can reduce 365 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (364) all_869_1_373 = 0
% 53.87/17.12 | (368) all_869_0_372 = init
% 53.87/17.12 |
% 53.87/17.12 | Combining equations (363,368) yields a new equation:
% 53.87/17.12 | (369) all_0_3_3 = init
% 53.87/17.12 |
% 53.87/17.12 | Simplifying 369 yields:
% 53.87/17.12 | (232) all_0_3_3 = init
% 53.87/17.12 |
% 53.87/17.12 | Equations (232) can reduce 213 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (234) 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
% 53.87/17.12 |
% 53.87/17.12 | Applying alpha-rule on (234) yields:
% 53.87/17.12 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.12 | (167) all_0_4_4 = 0
% 53.87/17.12 | (237) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 53.87/17.12 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.12 | (213) ~ (all_0_3_3 = init)
% 53.87/17.12 | (170) all_0_5_5 = 0
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (94) 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:
% 53.87/17.12 | (241) 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)))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating formula (130) with all_0_6_6 yields:
% 53.87/17.12 | (174) ~ (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))
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (174), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (175) ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 53.87/17.12 |
% 53.87/17.12 | From (157) and (175) follows:
% 53.87/17.12 | (176) ~ (leq(all_0_6_6, n2) = 0)
% 53.87/17.12 |
% 53.87/17.12 | Using (168) and (176) yields:
% 53.87/17.12 | (177) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (178) leq(all_0_6_6, all_0_8_8) = 0
% 53.87/17.12 | (179) ? [v0] : ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 53.87/17.12 |
% 53.87/17.12 | From (157) and (178) follows:
% 53.87/17.12 | (168) leq(all_0_6_6, n2) = 0
% 53.87/17.12 |
% 53.87/17.12 +-Applying beta-rule and splitting (241), into two cases.
% 53.87/17.12 |-Branch one:
% 53.87/17.12 | (232) all_0_3_3 = init
% 53.87/17.12 |
% 53.87/17.12 | Equations (232) can reduce 213 to:
% 53.87/17.12 | (185) $false
% 53.87/17.12 |
% 53.87/17.12 |-The branch is then unsatisfiable
% 53.87/17.12 |-Branch two:
% 53.87/17.12 | (213) ~ (all_0_3_3 = init)
% 53.87/17.12 | (252) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 53.87/17.12 |
% 53.87/17.12 | Instantiating (252) with all_1109_0_461, all_1109_1_462 yields:
% 53.87/17.12 | (391) leq(all_0_6_6, n2) = all_1109_0_461 & leq(n0, all_0_6_6) = all_1109_1_462 & ( ~ (all_1109_0_461 = 0) | ~ (all_1109_1_462 = 0))
% 53.87/17.12 |
% 53.87/17.13 | Applying alpha-rule on (391) yields:
% 53.87/17.13 | (392) leq(all_0_6_6, n2) = all_1109_0_461
% 53.87/17.13 | (393) leq(n0, all_0_6_6) = all_1109_1_462
% 53.87/17.13 | (394) ~ (all_1109_0_461 = 0) | ~ (all_1109_1_462 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Instantiating formula (78) with all_0_6_6, n2, all_1109_0_461, 0 and discharging atoms leq(all_0_6_6, n2) = all_1109_0_461, leq(all_0_6_6, n2) = 0, yields:
% 53.87/17.13 | (395) all_1109_0_461 = 0
% 53.87/17.13 |
% 53.87/17.13 | Instantiating formula (78) with n0, all_0_6_6, all_1109_1_462, 0 and discharging atoms leq(n0, all_0_6_6) = all_1109_1_462, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.13 | (396) all_1109_1_462 = 0
% 53.87/17.13 |
% 53.87/17.13 +-Applying beta-rule and splitting (394), into two cases.
% 53.87/17.13 |-Branch one:
% 53.87/17.13 | (397) ~ (all_1109_0_461 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Equations (395) can reduce 397 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (395) all_1109_0_461 = 0
% 53.87/17.13 | (400) ~ (all_1109_1_462 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Equations (396) can reduce 400 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (264) 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
% 53.87/17.13 |
% 53.87/17.13 | Applying alpha-rule on (264) yields:
% 53.87/17.13 | (265) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 53.87/17.13 | (266) leq(all_0_6_6, n3) = 0
% 53.87/17.13 | (165) leq(n0, all_0_6_6) = 0
% 53.87/17.13 | (167) all_0_4_4 = 0
% 53.87/17.13 | (213) ~ (all_0_3_3 = init)
% 53.87/17.13 | (170) all_0_5_5 = 0
% 53.87/17.13 |
% 53.87/17.13 | Instantiating formula (74) 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:
% 53.87/17.13 | (271) 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)))
% 53.87/17.13 |
% 53.87/17.13 +-Applying beta-rule and splitting (271), into two cases.
% 53.87/17.13 |-Branch one:
% 53.87/17.13 | (232) all_0_3_3 = init
% 53.87/17.13 |
% 53.87/17.13 | Equations (232) can reduce 213 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (213) ~ (all_0_3_3 = init)
% 53.87/17.13 | (275) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 53.87/17.13 |
% 53.87/17.13 | Instantiating (275) with all_872_0_469, all_872_1_470 yields:
% 53.87/17.13 | (414) leq(all_0_6_6, n3) = all_872_0_469 & leq(n0, all_0_6_6) = all_872_1_470 & ( ~ (all_872_0_469 = 0) | ~ (all_872_1_470 = 0))
% 53.87/17.13 |
% 53.87/17.13 | Applying alpha-rule on (414) yields:
% 53.87/17.13 | (415) leq(all_0_6_6, n3) = all_872_0_469
% 53.87/17.13 | (416) leq(n0, all_0_6_6) = all_872_1_470
% 53.87/17.13 | (417) ~ (all_872_0_469 = 0) | ~ (all_872_1_470 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Instantiating formula (78) with all_0_6_6, n3, all_872_0_469, 0 and discharging atoms leq(all_0_6_6, n3) = all_872_0_469, leq(all_0_6_6, n3) = 0, yields:
% 53.87/17.13 | (418) all_872_0_469 = 0
% 53.87/17.13 |
% 53.87/17.13 | Instantiating formula (78) with n0, all_0_6_6, all_872_1_470, 0 and discharging atoms leq(n0, all_0_6_6) = all_872_1_470, leq(n0, all_0_6_6) = 0, yields:
% 53.87/17.13 | (419) all_872_1_470 = 0
% 53.87/17.13 |
% 53.87/17.13 +-Applying beta-rule and splitting (417), into two cases.
% 53.87/17.13 |-Branch one:
% 53.87/17.13 | (420) ~ (all_872_0_469 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Equations (418) can reduce 420 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (418) all_872_0_469 = 0
% 53.87/17.13 | (423) ~ (all_872_1_470 = 0)
% 53.87/17.13 |
% 53.87/17.13 | Equations (419) can reduce 423 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (287) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 53.87/17.13 |
% 53.87/17.13 | Applying alpha-rule on (287) yields:
% 53.87/17.13 | (288) all_0_7_7 = 0
% 53.87/17.13 | (289) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 53.87/17.13 |
% 53.87/17.13 +-Applying beta-rule and splitting (289), into two cases.
% 53.87/17.13 |-Branch one:
% 53.87/17.13 | (428) ~ (pvar1402_init = init)
% 53.87/17.13 |
% 53.87/17.13 | Equations (293) can reduce 428 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (293) pvar1402_init = init
% 53.87/17.13 | (431) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 53.87/17.13 |
% 53.87/17.13 +-Applying beta-rule and splitting (431), into two cases.
% 53.87/17.13 |-Branch one:
% 53.87/17.13 | (432) ~ (pvar1401_init = init)
% 53.87/17.13 |
% 53.87/17.13 | Equations (294) can reduce 432 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 |-Branch two:
% 53.87/17.13 | (294) pvar1401_init = init
% 53.87/17.13 | (435) ~ (pvar1400_init = init)
% 53.87/17.13 |
% 53.87/17.13 | Equations (295) can reduce 435 to:
% 53.87/17.13 | (185) $false
% 53.87/17.13 |
% 53.87/17.13 |-The branch is then unsatisfiable
% 53.87/17.13 % SZS output end Proof for theBenchmark
% 53.87/17.13
% 53.87/17.13 16472ms
%------------------------------------------------------------------------------