TSTP Solution File: SWV039+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV039+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 17:49:48 EDT 2022
% Result : Theorem 24.06s 6.78s
% Output : Proof 43.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV039+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.09/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Tue Jun 14 20:54:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.49 ____ _
% 0.15/0.49 ___ / __ \_____(_)___ ________ __________
% 0.15/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.15/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.15/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.15/0.49
% 0.15/0.49 A Theorem Prover for First-Order Logic
% 0.15/0.49 (ePrincess v.1.0)
% 0.15/0.49
% 0.15/0.49 (c) Philipp Rümmer, 2009-2015
% 0.15/0.49 (c) Peter Backeman, 2014-2015
% 0.15/0.49 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.15/0.49 Free software under GNU Lesser General Public License (LGPL).
% 0.15/0.49 Bug reports to peter@backeman.se
% 0.15/0.50
% 0.15/0.50 For more information, visit http://user.uu.se/~petba168/breu/
% 0.15/0.50
% 0.15/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.84/0.89 Prover 0: Preprocessing ...
% 3.94/1.40 Prover 0: Warning: ignoring some quantifiers
% 3.94/1.44 Prover 0: Constructing countermodel ...
% 20.09/5.83 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.61/5.95 Prover 1: Preprocessing ...
% 21.44/6.16 Prover 1: Warning: ignoring some quantifiers
% 21.44/6.17 Prover 1: Constructing countermodel ...
% 24.06/6.77 Prover 1: proved (942ms)
% 24.06/6.78 Prover 0: stopped
% 24.06/6.78
% 24.06/6.78 No countermodel exists, formula is valid
% 24.06/6.78 % SZS status Theorem for theBenchmark
% 24.06/6.78
% 24.06/6.78 Generating proof ... Warning: ignoring some quantifiers
% 42.32/11.23 found it (size 189)
% 42.32/11.23
% 42.32/11.23 % SZS output start Proof for theBenchmark
% 42.32/11.23 Assumed formulas after preprocessing and simplification:
% 42.32/11.23 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n0, n1) = v1 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v0 & 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 & ? [v9] : ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (tptp_mmul(v23, v24) = v25) | ~ (tptp_mmul(v16, v20) = v21) | ~ (tptp_mmul(v15, v21) = v22) | ~ (tptp_mmul(v14, v17) = v18) | ~ (tptp_mmul(v13, v18) = v19) | ~ (tptp_mmul(v12, v25) = v26) | ~ (tptp_madd(v19, v22) = v23) | ~ (tptp_madd(v11, v26) = v27) | ~ (trans(v15) = v20) | ~ (trans(v13) = v17) | ~ (trans(v12) = v24) | ~ (a_select3(v27, v28, v29) = v30) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ((v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v16, v32, v31) = v38 & a_select3(v16, v31, v32) = v37 & leq(v32, v9) = 0 & leq(v31, v9) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v14, v32, v31) = v38 & a_select3(v14, v31, v32) = v37 & leq(v32, v10) = 0 & leq(v31, v10) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (v36 = 0 & v35 = 0 & v34 = 0 & v33 = 0 & ~ (v38 = v37) & a_select3(v11, v32, v31) = v38 & a_select3(v11, v31, v32) = v37 & leq(v32, v9) = 0 & leq(v31, v9) = 0 & leq(n0, v32) = 0 & leq(n0, v31) = 0) | (a_select3(v27, v29, v28) = v35 & leq(v29, v9) = v34 & leq(v28, v9) = v32 & leq(n0, v29) = v33 & leq(n0, v28) = v31 & ( ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | ~ (v31 = 0) | v35 = v30)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v15 | ~ (tptp_const_array2(v16, v17, v15) = v18) | ~ (a_select3(v18, v9, v12) = v19) | ~ (dim(v13, v14) = v17) | ~ (dim(v10, v11) = v16) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (leq(v13, v12) = v22 & leq(v12, v14) = v23 & leq(v10, v9) = v20 & leq(v9, v11) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0)))) & ? [v9] : ? [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) | ~ (tptp_mmul(v11, v14) = v15) | ~ (trans(v11) = v13) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v9) = v22 & leq(v16, v9) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (tptp_mmul(v11, v12) = v13) | ~ (tptp_mmul(v10, v13) = v14) | ~ (trans(v10) = v12) | ~ (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(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v9) = 0 & leq(v18, v9) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v14, v16, v15) = v22 & leq(v16, v9) = v21 & leq(v15, v9) = v19 & leq(n0, v16) = v20 & leq(n0, v15) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = v17)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v14 | ~ (tptp_update3(v13, v11, v12, v14) = v15) | ~ (a_select3(v15, v9, v10) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v23 = v14) & a_select3(v13, v17, v18) = v23 & leq(v18, v12) = 0 & leq(v17, v11) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (leq(v10, v12) = v20 & leq(v9, v11) = v18 & leq(n0, v10) = v19 & leq(n0, v9) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0))))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v9 | v12 = v10 | ~ (tptp_update3(v13, v10, v11, v14) = v15) | ~ (a_select3(v15, v12, v11) = v16) | ? [v17] : ( ~ (v17 = v9) & a_select3(v13, v12, v11) = v17)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (tptp_update3(v10, v13, v13, v14) = v15) | ~ (a_select3(v15, v11, v12) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & ~ (v24 = v23) & a_select3(v10, v18, v17) = v24 & a_select3(v10, v17, v18) = v23 & leq(v18, v9) = 0 & leq(v17, v9) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v15, v12, v11) = v23 & leq(v13, v9) = v22 & leq(v12, v9) = v20 & leq(v11, v9) = v18 & leq(n0, v13) = v21 & leq(n0, v12) = v19 & leq(n0, v11) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v23 = v16)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (dim(v10, v11) = v13) | ~ (tptp_const_array1(v13, v12) = v14) | ~ (a_select2(v14, v9) = v15) | ? [v16] : ? [v17] : (leq(v10, v9) = v16 & leq(v9, v11) = v17 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v9 | v11 = v10 | ~ (tptp_update2(v12, v10, v13) = v14) | ~ (a_select2(v14, v11) = v15) | ? [v16] : ( ~ (v16 = v9) & a_select2(v12, v11) = v16)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_msub(v10, v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v10, v17, v16) = v23 & a_select3(v10, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v9) = v19 & leq(v13, v9) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (tptp_madd(v10, v11) = v12) | ~ (a_select3(v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v23 = v22) & a_select3(v10, v17, v16) = v23 & a_select3(v10, v16, v17) = v22 & leq(v17, v9) = 0 & leq(v16, v9) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v9) = v19 & leq(v13, v9) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = v15)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update2(v11, v10, v12) = v13) | ~ (a_select2(v13, v9) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v17 = 0 & v16 = 0 & ~ (v18 = v12) & a_select2(v11, v15) = v18 & leq(v15, v10) = 0 & leq(n0, v15) = 0) | (leq(v9, v10) = v16 & leq(n0, v9) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (tptp_update3(v9, v10, v11, v12) = v13) | ~ (a_select3(v13, v10, v11) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v10 = v9 | ~ (tptp_update3(v14, v13, v12, v11) = v10) | ~ (tptp_update3(v14, v13, v12, v11) = v9)) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inv(v10) = v11) | ~ (a_select3(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & ~ (v22 = v21) & a_select3(v10, v16, v15) = v22 & a_select3(v10, v15, v16) = v21 & leq(v16, v9) = 0 & leq(v15, v9) = 0 & leq(n0, v16) = 0 & leq(n0, v15) = 0) | (a_select3(v11, v13, v12) = v19 & leq(v13, v9) = v18 & leq(v12, v9) = v16 & leq(n0, v13) = v17 & leq(n0, v12) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v19 = v14)))) & ? [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (trans(v10) = v11) | ~ (a_select3(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & ~ (v22 = v21) & a_select3(v10, v16, v15) = v22 & a_select3(v10, v15, v16) = v21 & leq(v16, v9) = 0 & leq(v15, v9) = 0 & leq(n0, v16) = 0 & leq(n0, v15) = 0) | (a_select3(v11, v13, v12) = v19 & leq(v13, v9) = v18 & leq(v12, v9) = v16 & leq(n0, v13) = v17 & leq(n0, v12) = v15 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v19 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (tptp_update2(v9, v10, v11) = v12) | ~ (a_select2(v12, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (succ(v10) = v12) | ~ (succ(v9) = v11) | ~ (leq(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & leq(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (tptp_update2(v13, v12, v11) = v10) | ~ (tptp_update2(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (sum(v13, v12, v11) = v10) | ~ (sum(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (tptp_const_array2(v13, v12, v11) = v10) | ~ (tptp_const_array2(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (a_select3(v13, v12, v11) = v10) | ~ (a_select3(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (uniform_int_rnd(v10, v9) = v11) | ~ (leq(v11, v9) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(n0, v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (leq(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (succ(v10) = v11) | ~ (gt(v11, v9) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (pred(v10) = v11) | ~ (leq(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & gt(v10, v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v9, v11) = v12) | ~ (leq(v9, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (gt(v9, v11) = v12) | ~ (gt(v9, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & gt(v10, v11) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (minus(v12, v11) = v10) | ~ (minus(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (plus(v12, v11) = v10) | ~ (plus(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_mmul(v12, v11) = v10) | ~ (tptp_mmul(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_msub(v12, v11) = v10) | ~ (tptp_msub(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_madd(v12, v11) = v10) | ~ (tptp_madd(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (dim(v12, v11) = v10) | ~ (dim(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (tptp_const_array1(v12, v11) = v10) | ~ (tptp_const_array1(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (a_select2(v12, v11) = v10) | ~ (a_select2(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (uniform_int_rnd(v12, v11) = v10) | ~ (uniform_int_rnd(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (geq(v12, v11) = v10) | ~ (geq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (lt(v12, v11) = v10) | ~ (lt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (leq(v12, v11) = v10) | ~ (leq(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (gt(v12, v11) = v10) | ~ (gt(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (succ(v10) = v12) | ~ (succ(v9) = v11) | ~ (leq(v11, v12) = 0) | leq(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = init | ~ (a_select3(simplex7_init, v10, v9) = v11) | ~ (leq(v9, n2) = 0) | ? [v12] : ? [v13] : (( ~ (v12 = 0) & leq(n0, v9) = v12) | (leq(v10, n3) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (gt(v10, v9) = v11) | ? [v12] : ( ~ (v12 = 0) & leq(v9, v10) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = v9 | ~ (gt(v9, v10) = v11) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (succ(v9) = v10) | ~ (gt(v10, v9) = v11)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (geq(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & leq(v10, v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (lt(v9, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & gt(v10, v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (inv(v11) = v10) | ~ (inv(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (trans(v11) = v10) | ~ (trans(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (succ(v11) = v10) | ~ (succ(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (pred(v11) = v10) | ~ (pred(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (minus(v9, v10) = v11) | ~ (leq(v11, v9) = 0) | leq(n0, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (uniform_int_rnd(v10, v9) = v11) | ? [v12] : ? [v13] : (leq(n0, v11) = v13 & leq(n0, v9) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (succ(v10) = v11) | ~ (gt(v11, v9) = 0) | leq(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (succ(v9) = v11) | ~ (leq(v11, v10) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (pred(v10) = v11) | ~ (leq(v9, v11) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : (v10 = init | ~ (a_select2(s_center7_init, v9) = v10) | ? [v11] : ? [v12] : (leq(v9, n2) = v12 & leq(n0, v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = init | ~ (a_select2(s_values7_init, v9) = v10) | ? [v11] : ? [v12] : (leq(v9, n3) = v12 & leq(n0, v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v9) = v10)) & ! [v9] : ! [v10] : (v10 = n0 | ~ (sum(n0, tptp_minus_1, v9) = v10)) & ! [v9] : ! [v10] : (v10 = 0 | ~ (leq(v9, v9) = v10)) & ! [v9] : ! [v10] : ( ~ (minus(v9, n1) = v10) | pred(v9) = v10) & ! [v9] : ! [v10] : ( ~ (plus(v9, n5) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v10 & succ(v13) = v14 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n4) = v10) | ? [v11] : ? [v12] : ? [v13] : (succ(v13) = v10 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n3) = v10) | ? [v11] : ? [v12] : (succ(v12) = v10 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n2) = v10) | ? [v11] : (succ(v11) = v10 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(v9, n1) = v10) | succ(v9) = v10) & ! [v9] : ! [v10] : ( ~ (plus(n5, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (succ(v14) = v10 & succ(v13) = v14 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n4, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (succ(v13) = v10 & succ(v12) = v13 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n3, v9) = v10) | ? [v11] : ? [v12] : (succ(v12) = v10 & succ(v11) = v12 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n2, v9) = v10) | ? [v11] : (succ(v11) = v10 & succ(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (plus(n1, v9) = v10) | succ(v9) = v10) & ! [v9] : ! [v10] : ( ~ (succ(v9) = v10) | pred(v10) = v9) & ! [v9] : ! [v10] : ( ~ (pred(v9) = v10) | succ(v10) = v9) & ! [v9] : ! [v10] : ( ~ (geq(v9, v10) = 0) | leq(v10, v9) = 0) & ! [v9] : ! [v10] : ( ~ (lt(v9, v10) = 0) | gt(v10, v9) = 0) & ! [v9] : ! [v10] : ( ~ (gt(v10, v9) = 0) | leq(v9, v10) = 0) & ! [v9] : (v9 = n5 | v9 = n4 | v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n5) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n4 | v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n4) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n3 | v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n3) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n2 | v9 = n1 | v9 = n0 | ~ (leq(v9, n2) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n1 | v9 = n0 | ~ (leq(v9, n1) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(n0, v9) = v10)) & ! [v9] : (v9 = n0 | ~ (leq(n0, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & leq(v9, n0) = v10)) & ! [v9] : ~ (gt(v9, v9) = 0) & ( ~ (v0 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v7 = 0 & v6 = 0 & v4 = 0 & v3 = 0 & ~ (v8 = init) & a_select3(simplex7_init, v5, v2) = v8 & leq(v5, n3) = 0 & leq(v2, n2) = 0 & leq(n0, v5) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_try7_init, v2) = v5 & leq(v2, v1) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_center7_init, v2) = v5 & leq(v2, n2) = 0 & leq(n0, v2) = 0) | (v4 = 0 & v3 = 0 & ~ (v5 = init) & a_select2(s_values7_init, v2) = v5 & leq(v2, n3) = 0 & leq(n0, v2) = 0) | (v0 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))))
% 42.66/11.32 | 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 yields:
% 42.66/11.32 | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init & ~ (def = use) & minus(n0, n1) = all_0_7_7 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_8_8 & 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] : ~ (gt(v0, v0) = 0) & ( ~ (all_0_8_8 = 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_7_7) = 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_8_8 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))))
% 42.66/11.36 |
% 42.66/11.36 | Applying alpha-rule on (1) yields:
% 42.66/11.36 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 42.66/11.36 | (3) leq(s_worst7, n3) = 0
% 42.66/11.36 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 42.66/11.36 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 42.66/11.36 | (6) gt(n5, tptp_minus_1) = 0
% 42.66/11.36 | (7) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 42.66/11.36 | (8) ? [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))))
% 42.66/11.36 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 42.66/11.36 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 42.66/11.36 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 42.66/11.36 | (12) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 42.66/11.36 | (13) gt(loopcounter, n1) = all_0_8_8
% 42.66/11.36 | (14) gt(n3, n2) = 0
% 42.66/11.36 | (15) ? [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))))
% 42.66/11.36 | (16) ? [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))))
% 42.66/11.36 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 42.66/11.36 | (18) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 42.66/11.36 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 42.66/11.36 | (20) leq(n0, s_worst7) = 0
% 42.66/11.36 | (21) ! [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))))
% 42.66/11.36 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 42.66/11.37 | (23) s_sworst7_init = init
% 42.66/11.37 | (24) ? [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))))
% 43.00/11.37 | (25) ! [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)))))
% 43.00/11.37 | (26) ! [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))))
% 43.00/11.37 | (27) gt(n4, n0) = 0
% 43.00/11.37 | (28) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 43.00/11.37 | (29) gt(n2, n0) = 0
% 43.00/11.37 | (30) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.00/11.37 | (31) gt(n4, n1) = 0
% 43.00/11.37 | (32) gt(n5, n4) = 0
% 43.00/11.37 | (33) ~ (def = use)
% 43.00/11.37 | (34) succ(tptp_minus_1) = n0
% 43.00/11.37 | (35) gt(n0, tptp_minus_1) = 0
% 43.00/11.37 | (36) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.00/11.37 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 43.00/11.37 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 43.00/11.37 | (39) gt(n3, n0) = 0
% 43.00/11.37 | (40) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 43.00/11.37 | (41) ? [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))))
% 43.00/11.37 | (42) gt(n1, tptp_minus_1) = 0
% 43.00/11.37 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 43.00/11.37 | (44) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 43.00/11.37 | (45) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 43.00/11.37 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 43.00/11.37 | (47) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 43.00/11.37 | (48) ! [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))
% 43.00/11.37 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 43.00/11.37 | (50) gt(n4, n3) = 0
% 43.00/11.37 | (51) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.00/11.37 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 43.00/11.37 | (53) gt(n1, n0) = 0
% 43.00/11.37 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 43.00/11.37 | (55) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 43.00/11.37 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 43.00/11.37 | (57) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 43.00/11.37 | (58) ? [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))))
% 43.00/11.38 | (59) gt(n5, n3) = 0
% 43.00/11.38 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 43.00/11.38 | (61) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.00/11.38 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 43.00/11.38 | (63) gt(n2, tptp_minus_1) = 0
% 43.00/11.38 | (64) succ(n0) = n1
% 43.00/11.38 | (65) leq(n0, s_sworst7) = 0
% 43.00/11.38 | (66) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 43.00/11.38 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 43.00/11.38 | (68) true
% 43.00/11.38 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 43.00/11.38 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 43.00/11.38 | (71) gt(n4, tptp_minus_1) = 0
% 43.00/11.38 | (72) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 43.00/11.38 | (73) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 43.00/11.38 | (74) ? [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))
% 43.00/11.38 | (75) ! [v0] : ~ (gt(v0, v0) = 0)
% 43.00/11.38 | (76) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.00/11.38 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 43.00/11.38 | (78) ! [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)))))
% 43.00/11.38 | (79) gt(n3, n1) = 0
% 43.00/11.38 | (80) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.00/11.38 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 43.00/11.38 | (82) ~ (all_0_8_8 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 43.00/11.38 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 43.00/11.38 | (84) gt(n3, tptp_minus_1) = 0
% 43.00/11.38 | (85) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 43.00/11.38 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 43.00/11.38 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 43.00/11.38 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 43.00/11.38 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 43.00/11.38 | (90) succ(n3) = n4
% 43.00/11.38 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 43.00/11.38 | (92) leq(s_best7, n3) = 0
% 43.00/11.38 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 43.00/11.38 | (94) ? [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))))
% 43.00/11.38 | (95) ! [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))
% 43.00/11.38 | (96) gt(n5, n0) = 0
% 43.00/11.38 | (97) gt(n5, n2) = 0
% 43.00/11.38 | (98) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.00/11.38 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 43.00/11.39 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 43.00/11.39 | (101) gt(n5, n1) = 0
% 43.00/11.39 | (102) ! [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)))))
% 43.00/11.39 | (103) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 43.00/11.39 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 43.00/11.39 | (105) leq(s_sworst7, n3) = 0
% 43.00/11.39 | (106) leq(n0, s_best7) = 0
% 43.00/11.39 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 43.00/11.39 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 43.00/11.39 | (109) gt(n2, n1) = 0
% 43.00/11.39 | (110) gt(n4, n2) = 0
% 43.00/11.39 | (111) ? [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))
% 43.00/11.39 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 43.00/11.39 | (113) ! [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))))
% 43.00/11.39 | (114) ! [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))))
% 43.00/11.39 | (115) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.00/11.39 | (116) succ(n1) = n2
% 43.00/11.39 | (117) (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_7_7) = 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_8_8 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)))
% 43.00/11.39 | (118) succ(n2) = n3
% 43.00/11.39 | (119) ? [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))))
% 43.00/11.39 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 43.00/11.39 | (121) s_best7_init = init
% 43.00/11.39 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 43.00/11.39 | (123) minus(n0, n1) = all_0_7_7
% 43.00/11.39 | (124) s_worst7_init = init
% 43.00/11.39 | (125) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 43.00/11.39 | (126) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.00/11.39 | (127) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.00/11.39 | (128) succ(n4) = n5
% 43.00/11.39 |
% 43.00/11.39 | Instantiating formula (75) with n1 yields:
% 43.00/11.39 | (129) ~ (gt(n1, n1) = 0)
% 43.00/11.39 |
% 43.00/11.39 | Instantiating formula (75) with tptp_minus_1 yields:
% 43.00/11.39 | (130) ~ (gt(tptp_minus_1, tptp_minus_1) = 0)
% 43.00/11.39 |
% 43.00/11.39 | Using (42) and (129) yields:
% 43.00/11.39 | (131) ~ (n1 = tptp_minus_1)
% 43.00/11.39 |
% 43.00/11.39 | Using (35) and (130) yields:
% 43.00/11.39 | (132) ~ (tptp_minus_1 = n0)
% 43.00/11.39 |
% 43.00/11.39 | Instantiating formula (57) with all_0_7_7, n0 and discharging atoms minus(n0, n1) = all_0_7_7, yields:
% 43.00/11.39 | (133) pred(n0) = all_0_7_7
% 43.00/11.39 |
% 43.00/11.39 | Instantiating formula (73) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 43.00/11.39 | (134) pred(n0) = tptp_minus_1
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (47) with n5, n0 and discharging atoms gt(n5, n0) = 0, yields:
% 43.00/11.40 | (135) leq(n0, n5) = 0
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (47) with n4, n0 and discharging atoms gt(n4, n0) = 0, yields:
% 43.00/11.40 | (136) leq(n0, n4) = 0
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (47) with n1, tptp_minus_1 and discharging atoms gt(n1, tptp_minus_1) = 0, yields:
% 43.00/11.40 | (137) leq(tptp_minus_1, n1) = 0
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (47) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 43.00/11.40 | (138) leq(n0, n1) = 0
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (19) with n0, tptp_minus_1, all_0_7_7 and discharging atoms pred(n0) = all_0_7_7, pred(n0) = tptp_minus_1, yields:
% 43.00/11.40 | (139) all_0_7_7 = tptp_minus_1
% 43.00/11.40 |
% 43.00/11.40 | From (139) and (133) follows:
% 43.00/11.40 | (134) pred(n0) = tptp_minus_1
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (80) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n1) = 0, yields:
% 43.00/11.40 | (141) n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (141), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (142) tptp_minus_1 = n0
% 43.00/11.40 |
% 43.00/11.40 | Equations (142) can reduce 132 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (132) ~ (tptp_minus_1 = n0)
% 43.00/11.40 | (145) n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (145), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (146) n1 = tptp_minus_1
% 43.00/11.40 |
% 43.00/11.40 | Equations (146) can reduce 131 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (131) ~ (n1 = tptp_minus_1)
% 43.00/11.40 | (149) ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating (149) with all_122_0_31 yields:
% 43.00/11.40 | (150) ~ (all_122_0_31 = 0) & leq(n0, tptp_minus_1) = all_122_0_31
% 43.00/11.40 |
% 43.00/11.40 | Applying alpha-rule on (150) yields:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (152) leq(n0, tptp_minus_1) = all_122_0_31
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (99) with all_122_0_31, tptp_minus_1, n0, n0 and discharging atoms pred(n0) = tptp_minus_1, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (153) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, s_worst7, n0 and discharging atoms leq(n0, s_worst7) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (154) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(s_worst7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, s_sworst7, n0 and discharging atoms leq(n0, s_sworst7) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (155) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(s_sworst7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, s_best7, n0 and discharging atoms leq(n0, s_best7) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (156) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(s_best7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, n5, n0 and discharging atoms leq(n0, n5) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (157) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, n4, n0 and discharging atoms leq(n0, n4) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (158) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, n1, n0 and discharging atoms leq(n0, n1) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.40 | (159) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (156), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (163) ? [v0] : ( ~ (v0 = 0) & leq(s_best7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (154), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (167) ? [v0] : ( ~ (v0 = 0) & leq(s_worst7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (155), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (171) ? [v0] : ( ~ (v0 = 0) & leq(s_sworst7, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (157), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (175) ? [v0] : ( ~ (v0 = 0) & leq(n5, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (153), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (179) ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (158), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (183) ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (159), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (160) all_122_0_31 = 0
% 43.00/11.40 |
% 43.00/11.40 | Equations (160) can reduce 151 to:
% 43.00/11.40 | (143) $false
% 43.00/11.40 |
% 43.00/11.40 |-The branch is then unsatisfiable
% 43.00/11.40 |-Branch two:
% 43.00/11.40 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.40 | (187) ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (82), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (188) ~ (all_0_8_8 = 0)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (117), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (189) (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_7_7) = 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)
% 43.00/11.40 |
% 43.00/11.40 +-Applying beta-rule and splitting (189), into two cases.
% 43.00/11.40 |-Branch one:
% 43.00/11.40 | (190) (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_7_7) = 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)
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (190), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (191) (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_7_7) = 0 & leq(n0, all_0_6_6) = 0)
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (191), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (192) 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
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (192) yields:
% 43.00/11.41 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.41 | (194) ~ (all_0_0_0 = init)
% 43.00/11.41 | (195) leq(all_0_6_6, n2) = 0
% 43.00/11.41 | (196) leq(all_0_3_3, n3) = 0
% 43.00/11.41 | (197) all_0_1_1 = 0
% 43.00/11.41 | (198) all_0_5_5 = 0
% 43.00/11.41 | (199) all_0_2_2 = 0
% 43.00/11.41 | (200) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 43.00/11.41 | (201) leq(n0, all_0_3_3) = 0
% 43.00/11.41 | (202) all_0_4_4 = 0
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (102) 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:
% 43.00/11.41 | (203) 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))))
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (203), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (204) all_0_0_0 = init
% 43.00/11.41 |
% 43.00/11.41 | Equations (204) can reduce 194 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (194) ~ (all_0_0_0 = init)
% 43.00/11.41 | (207) ? [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))))
% 43.00/11.41 |
% 43.00/11.41 | Instantiating (207) with all_606_0_73, all_606_1_74 yields:
% 43.00/11.41 | (208) ( ~ (all_606_1_74 = 0) & leq(n0, all_0_6_6) = all_606_1_74) | (leq(all_0_3_3, n3) = all_606_0_73 & leq(n0, all_0_3_3) = all_606_1_74 & ( ~ (all_606_0_73 = 0) | ~ (all_606_1_74 = 0)))
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (208), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (209) ~ (all_606_1_74 = 0) & leq(n0, all_0_6_6) = all_606_1_74
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (209) yields:
% 43.00/11.41 | (210) ~ (all_606_1_74 = 0)
% 43.00/11.41 | (211) leq(n0, all_0_6_6) = all_606_1_74
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (108) with n0, all_0_6_6, all_606_1_74, 0 and discharging atoms leq(n0, all_0_6_6) = all_606_1_74, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.41 | (212) all_606_1_74 = 0
% 43.00/11.41 |
% 43.00/11.41 | Equations (212) can reduce 210 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (214) leq(all_0_3_3, n3) = all_606_0_73 & leq(n0, all_0_3_3) = all_606_1_74 & ( ~ (all_606_0_73 = 0) | ~ (all_606_1_74 = 0))
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (214) yields:
% 43.00/11.41 | (215) leq(all_0_3_3, n3) = all_606_0_73
% 43.00/11.41 | (216) leq(n0, all_0_3_3) = all_606_1_74
% 43.00/11.41 | (217) ~ (all_606_0_73 = 0) | ~ (all_606_1_74 = 0)
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (108) with all_0_3_3, n3, all_606_0_73, 0 and discharging atoms leq(all_0_3_3, n3) = all_606_0_73, leq(all_0_3_3, n3) = 0, yields:
% 43.00/11.41 | (218) all_606_0_73 = 0
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (108) with n0, all_0_3_3, all_606_1_74, 0 and discharging atoms leq(n0, all_0_3_3) = all_606_1_74, leq(n0, all_0_3_3) = 0, yields:
% 43.00/11.41 | (212) all_606_1_74 = 0
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (217), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (220) ~ (all_606_0_73 = 0)
% 43.00/11.41 |
% 43.00/11.41 | Equations (218) can reduce 220 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (218) all_606_0_73 = 0
% 43.00/11.41 | (210) ~ (all_606_1_74 = 0)
% 43.00/11.41 |
% 43.00/11.41 | Equations (212) can reduce 210 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (225) 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_7_7) = 0 & leq(n0, all_0_6_6) = 0
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (225) yields:
% 43.00/11.41 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.41 | (227) leq(all_0_6_6, all_0_7_7) = 0
% 43.00/11.41 | (228) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 43.00/11.41 | (198) all_0_5_5 = 0
% 43.00/11.41 | (230) ~ (all_0_3_3 = init)
% 43.00/11.41 | (202) all_0_4_4 = 0
% 43.00/11.41 |
% 43.00/11.41 | From (139) and (227) follows:
% 43.00/11.41 | (232) leq(all_0_6_6, tptp_minus_1) = 0
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, all_0_6_6, n0 and discharging atoms leq(n0, all_0_6_6) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.41 | (233) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (233), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (160) all_122_0_31 = 0
% 43.00/11.41 |
% 43.00/11.41 | Equations (160) can reduce 151 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.41 | (237) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 43.00/11.41 |
% 43.00/11.41 | Instantiating (237) with all_499_0_294 yields:
% 43.00/11.41 | (238) ~ (all_499_0_294 = 0) & leq(all_0_6_6, tptp_minus_1) = all_499_0_294
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (238) yields:
% 43.00/11.41 | (239) ~ (all_499_0_294 = 0)
% 43.00/11.41 | (240) leq(all_0_6_6, tptp_minus_1) = all_499_0_294
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (108) with all_0_6_6, tptp_minus_1, all_499_0_294, 0 and discharging atoms leq(all_0_6_6, tptp_minus_1) = all_499_0_294, leq(all_0_6_6, tptp_minus_1) = 0, yields:
% 43.00/11.41 | (241) all_499_0_294 = 0
% 43.00/11.41 |
% 43.00/11.41 | Equations (241) can reduce 239 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (243) 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
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (243) yields:
% 43.00/11.41 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.41 | (195) leq(all_0_6_6, n2) = 0
% 43.00/11.41 | (198) all_0_5_5 = 0
% 43.00/11.41 | (230) ~ (all_0_3_3 = init)
% 43.00/11.41 | (248) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 43.00/11.41 | (202) all_0_4_4 = 0
% 43.00/11.41 |
% 43.00/11.41 | Instantiating formula (26) 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:
% 43.00/11.41 | (250) 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)))
% 43.00/11.41 |
% 43.00/11.41 +-Applying beta-rule and splitting (250), into two cases.
% 43.00/11.41 |-Branch one:
% 43.00/11.41 | (251) all_0_3_3 = init
% 43.00/11.41 |
% 43.00/11.41 | Equations (251) can reduce 230 to:
% 43.00/11.41 | (143) $false
% 43.00/11.41 |
% 43.00/11.41 |-The branch is then unsatisfiable
% 43.00/11.41 |-Branch two:
% 43.00/11.41 | (230) ~ (all_0_3_3 = init)
% 43.00/11.41 | (254) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.00/11.41 |
% 43.00/11.41 | Instantiating (254) with all_539_0_332, all_539_1_333 yields:
% 43.00/11.41 | (255) leq(all_0_6_6, n2) = all_539_0_332 & leq(n0, all_0_6_6) = all_539_1_333 & ( ~ (all_539_0_332 = 0) | ~ (all_539_1_333 = 0))
% 43.00/11.41 |
% 43.00/11.41 | Applying alpha-rule on (255) yields:
% 43.00/11.41 | (256) leq(all_0_6_6, n2) = all_539_0_332
% 43.00/11.42 | (257) leq(n0, all_0_6_6) = all_539_1_333
% 43.00/11.42 | (258) ~ (all_539_0_332 = 0) | ~ (all_539_1_333 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (108) with all_0_6_6, n2, all_539_0_332, 0 and discharging atoms leq(all_0_6_6, n2) = all_539_0_332, leq(all_0_6_6, n2) = 0, yields:
% 43.00/11.42 | (259) all_539_0_332 = 0
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (108) with n0, all_0_6_6, all_539_1_333, 0 and discharging atoms leq(n0, all_0_6_6) = all_539_1_333, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.42 | (260) all_539_1_333 = 0
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (258), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (261) ~ (all_539_0_332 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Equations (259) can reduce 261 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (259) all_539_0_332 = 0
% 43.00/11.42 | (264) ~ (all_539_1_333 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Equations (260) can reduce 264 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (266) 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
% 43.00/11.42 |
% 43.00/11.42 | Applying alpha-rule on (266) yields:
% 43.00/11.42 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.42 | (268) leq(all_0_6_6, n3) = 0
% 43.00/11.42 | (198) all_0_5_5 = 0
% 43.00/11.42 | (230) ~ (all_0_3_3 = init)
% 43.00/11.42 | (271) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 43.00/11.42 | (202) all_0_4_4 = 0
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (113) 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:
% 43.00/11.42 | (273) 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)))
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (273), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (251) all_0_3_3 = init
% 43.00/11.42 |
% 43.00/11.42 | Equations (251) can reduce 230 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (230) ~ (all_0_3_3 = init)
% 43.00/11.42 | (277) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.00/11.42 |
% 43.00/11.42 | Instantiating (277) with all_509_0_352, all_509_1_353 yields:
% 43.00/11.42 | (278) leq(all_0_6_6, n3) = all_509_0_352 & leq(n0, all_0_6_6) = all_509_1_353 & ( ~ (all_509_0_352 = 0) | ~ (all_509_1_353 = 0))
% 43.00/11.42 |
% 43.00/11.42 | Applying alpha-rule on (278) yields:
% 43.00/11.42 | (279) leq(all_0_6_6, n3) = all_509_0_352
% 43.00/11.42 | (280) leq(n0, all_0_6_6) = all_509_1_353
% 43.00/11.42 | (281) ~ (all_509_0_352 = 0) | ~ (all_509_1_353 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (108) with all_0_6_6, n3, all_509_0_352, 0 and discharging atoms leq(all_0_6_6, n3) = all_509_0_352, leq(all_0_6_6, n3) = 0, yields:
% 43.00/11.42 | (282) all_509_0_352 = 0
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (108) with n0, all_0_6_6, all_509_1_353, 0 and discharging atoms leq(n0, all_0_6_6) = all_509_1_353, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.42 | (283) all_509_1_353 = 0
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (281), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (284) ~ (all_509_0_352 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Equations (282) can reduce 284 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (282) all_509_0_352 = 0
% 43.00/11.42 | (287) ~ (all_509_1_353 = 0)
% 43.00/11.42 |
% 43.00/11.42 | Equations (283) can reduce 287 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (289) all_0_8_8 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 43.00/11.42 |
% 43.00/11.42 | Applying alpha-rule on (289) yields:
% 43.00/11.42 | (290) all_0_8_8 = 0
% 43.00/11.42 | (291) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.00/11.42 |
% 43.00/11.42 | Equations (290) can reduce 188 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (290) all_0_8_8 = 0
% 43.00/11.42 | (294) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 43.00/11.42 |
% 43.00/11.42 | Applying alpha-rule on (294) yields:
% 43.00/11.42 | (295) pvar1402_init = init
% 43.00/11.42 | (296) pvar1401_init = init
% 43.00/11.42 | (297) pvar1400_init = init
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (117), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (189) (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_7_7) = 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)
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (189), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (190) (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_7_7) = 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)
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (190), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (191) (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_7_7) = 0 & leq(n0, all_0_6_6) = 0)
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (191), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (192) 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
% 43.00/11.42 |
% 43.00/11.42 | Applying alpha-rule on (192) yields:
% 43.00/11.42 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.42 | (194) ~ (all_0_0_0 = init)
% 43.00/11.42 | (195) leq(all_0_6_6, n2) = 0
% 43.00/11.42 | (196) leq(all_0_3_3, n3) = 0
% 43.00/11.42 | (197) all_0_1_1 = 0
% 43.00/11.42 | (198) all_0_5_5 = 0
% 43.00/11.42 | (199) all_0_2_2 = 0
% 43.00/11.42 | (200) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 43.00/11.42 | (201) leq(n0, all_0_3_3) = 0
% 43.00/11.42 | (202) all_0_4_4 = 0
% 43.00/11.42 |
% 43.00/11.42 | Instantiating formula (102) 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:
% 43.00/11.42 | (203) 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))))
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (203), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.42 | (204) all_0_0_0 = init
% 43.00/11.42 |
% 43.00/11.42 | Equations (204) can reduce 194 to:
% 43.00/11.42 | (143) $false
% 43.00/11.42 |
% 43.00/11.42 |-The branch is then unsatisfiable
% 43.00/11.42 |-Branch two:
% 43.00/11.42 | (194) ~ (all_0_0_0 = init)
% 43.00/11.42 | (207) ? [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))))
% 43.00/11.42 |
% 43.00/11.42 | Instantiating (207) with all_531_0_388, all_531_1_389 yields:
% 43.00/11.42 | (317) ( ~ (all_531_1_389 = 0) & leq(n0, all_0_6_6) = all_531_1_389) | (leq(all_0_3_3, n3) = all_531_0_388 & leq(n0, all_0_3_3) = all_531_1_389 & ( ~ (all_531_0_388 = 0) | ~ (all_531_1_389 = 0)))
% 43.00/11.42 |
% 43.00/11.42 +-Applying beta-rule and splitting (317), into two cases.
% 43.00/11.42 |-Branch one:
% 43.00/11.43 | (318) ~ (all_531_1_389 = 0) & leq(n0, all_0_6_6) = all_531_1_389
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (318) yields:
% 43.00/11.43 | (319) ~ (all_531_1_389 = 0)
% 43.00/11.43 | (320) leq(n0, all_0_6_6) = all_531_1_389
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with n0, all_0_6_6, all_531_1_389, 0 and discharging atoms leq(n0, all_0_6_6) = all_531_1_389, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.43 | (321) all_531_1_389 = 0
% 43.00/11.43 |
% 43.00/11.43 | Equations (321) can reduce 319 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (323) leq(all_0_3_3, n3) = all_531_0_388 & leq(n0, all_0_3_3) = all_531_1_389 & ( ~ (all_531_0_388 = 0) | ~ (all_531_1_389 = 0))
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (323) yields:
% 43.00/11.43 | (324) leq(all_0_3_3, n3) = all_531_0_388
% 43.00/11.43 | (325) leq(n0, all_0_3_3) = all_531_1_389
% 43.00/11.43 | (326) ~ (all_531_0_388 = 0) | ~ (all_531_1_389 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with all_0_3_3, n3, all_531_0_388, 0 and discharging atoms leq(all_0_3_3, n3) = all_531_0_388, leq(all_0_3_3, n3) = 0, yields:
% 43.00/11.43 | (327) all_531_0_388 = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with n0, all_0_3_3, all_531_1_389, 0 and discharging atoms leq(n0, all_0_3_3) = all_531_1_389, leq(n0, all_0_3_3) = 0, yields:
% 43.00/11.43 | (321) all_531_1_389 = 0
% 43.00/11.43 |
% 43.00/11.43 +-Applying beta-rule and splitting (326), into two cases.
% 43.00/11.43 |-Branch one:
% 43.00/11.43 | (329) ~ (all_531_0_388 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Equations (327) can reduce 329 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (327) all_531_0_388 = 0
% 43.00/11.43 | (319) ~ (all_531_1_389 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Equations (321) can reduce 319 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (225) 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_7_7) = 0 & leq(n0, all_0_6_6) = 0
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (225) yields:
% 43.00/11.43 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.43 | (227) leq(all_0_6_6, all_0_7_7) = 0
% 43.00/11.43 | (228) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 43.00/11.43 | (198) all_0_5_5 = 0
% 43.00/11.43 | (230) ~ (all_0_3_3 = init)
% 43.00/11.43 | (202) all_0_4_4 = 0
% 43.00/11.43 |
% 43.00/11.43 | From (139) and (227) follows:
% 43.00/11.43 | (232) leq(all_0_6_6, tptp_minus_1) = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (91) with all_122_0_31, tptp_minus_1, all_0_6_6, n0 and discharging atoms leq(n0, all_0_6_6) = 0, leq(n0, tptp_minus_1) = all_122_0_31, yields:
% 43.00/11.43 | (233) all_122_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 43.00/11.43 |
% 43.00/11.43 +-Applying beta-rule and splitting (233), into two cases.
% 43.00/11.43 |-Branch one:
% 43.00/11.43 | (160) all_122_0_31 = 0
% 43.00/11.43 |
% 43.00/11.43 | Equations (160) can reduce 151 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (151) ~ (all_122_0_31 = 0)
% 43.00/11.43 | (237) ? [v0] : ( ~ (v0 = 0) & leq(all_0_6_6, tptp_minus_1) = v0)
% 43.00/11.43 |
% 43.00/11.43 | Instantiating (237) with all_477_0_552 yields:
% 43.00/11.43 | (347) ~ (all_477_0_552 = 0) & leq(all_0_6_6, tptp_minus_1) = all_477_0_552
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (347) yields:
% 43.00/11.43 | (348) ~ (all_477_0_552 = 0)
% 43.00/11.43 | (349) leq(all_0_6_6, tptp_minus_1) = all_477_0_552
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with all_0_6_6, tptp_minus_1, all_477_0_552, 0 and discharging atoms leq(all_0_6_6, tptp_minus_1) = all_477_0_552, leq(all_0_6_6, tptp_minus_1) = 0, yields:
% 43.00/11.43 | (350) all_477_0_552 = 0
% 43.00/11.43 |
% 43.00/11.43 | Equations (350) can reduce 348 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (243) 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
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (243) yields:
% 43.00/11.43 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.43 | (195) leq(all_0_6_6, n2) = 0
% 43.00/11.43 | (198) all_0_5_5 = 0
% 43.00/11.43 | (230) ~ (all_0_3_3 = init)
% 43.00/11.43 | (248) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 43.00/11.43 | (202) all_0_4_4 = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (26) 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:
% 43.00/11.43 | (250) 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)))
% 43.00/11.43 |
% 43.00/11.43 +-Applying beta-rule and splitting (250), into two cases.
% 43.00/11.43 |-Branch one:
% 43.00/11.43 | (251) all_0_3_3 = init
% 43.00/11.43 |
% 43.00/11.43 | Equations (251) can reduce 230 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (230) ~ (all_0_3_3 = init)
% 43.00/11.43 | (254) ? [v0] : ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.00/11.43 |
% 43.00/11.43 | Instantiating (254) with all_536_0_585, all_536_1_586 yields:
% 43.00/11.43 | (364) leq(all_0_6_6, n2) = all_536_0_585 & leq(n0, all_0_6_6) = all_536_1_586 & ( ~ (all_536_0_585 = 0) | ~ (all_536_1_586 = 0))
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (364) yields:
% 43.00/11.43 | (365) leq(all_0_6_6, n2) = all_536_0_585
% 43.00/11.43 | (366) leq(n0, all_0_6_6) = all_536_1_586
% 43.00/11.43 | (367) ~ (all_536_0_585 = 0) | ~ (all_536_1_586 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with all_0_6_6, n2, all_536_0_585, 0 and discharging atoms leq(all_0_6_6, n2) = all_536_0_585, leq(all_0_6_6, n2) = 0, yields:
% 43.00/11.43 | (368) all_536_0_585 = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with n0, all_0_6_6, all_536_1_586, 0 and discharging atoms leq(n0, all_0_6_6) = all_536_1_586, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.43 | (369) all_536_1_586 = 0
% 43.00/11.43 |
% 43.00/11.43 +-Applying beta-rule and splitting (367), into two cases.
% 43.00/11.43 |-Branch one:
% 43.00/11.43 | (370) ~ (all_536_0_585 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Equations (368) can reduce 370 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (368) all_536_0_585 = 0
% 43.00/11.43 | (373) ~ (all_536_1_586 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Equations (369) can reduce 373 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (266) 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
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (266) yields:
% 43.00/11.43 | (193) leq(n0, all_0_6_6) = 0
% 43.00/11.43 | (268) leq(all_0_6_6, n3) = 0
% 43.00/11.43 | (198) all_0_5_5 = 0
% 43.00/11.43 | (230) ~ (all_0_3_3 = init)
% 43.00/11.43 | (271) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 43.00/11.43 | (202) all_0_4_4 = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (113) 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:
% 43.00/11.43 | (273) 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)))
% 43.00/11.43 |
% 43.00/11.43 +-Applying beta-rule and splitting (273), into two cases.
% 43.00/11.43 |-Branch one:
% 43.00/11.43 | (251) all_0_3_3 = init
% 43.00/11.43 |
% 43.00/11.43 | Equations (251) can reduce 230 to:
% 43.00/11.43 | (143) $false
% 43.00/11.43 |
% 43.00/11.43 |-The branch is then unsatisfiable
% 43.00/11.43 |-Branch two:
% 43.00/11.43 | (230) ~ (all_0_3_3 = init)
% 43.00/11.43 | (277) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 43.00/11.43 |
% 43.00/11.43 | Instantiating (277) with all_477_0_595, all_477_1_596 yields:
% 43.00/11.43 | (387) leq(all_0_6_6, n3) = all_477_0_595 & leq(n0, all_0_6_6) = all_477_1_596 & ( ~ (all_477_0_595 = 0) | ~ (all_477_1_596 = 0))
% 43.00/11.43 |
% 43.00/11.43 | Applying alpha-rule on (387) yields:
% 43.00/11.43 | (388) leq(all_0_6_6, n3) = all_477_0_595
% 43.00/11.43 | (389) leq(n0, all_0_6_6) = all_477_1_596
% 43.00/11.43 | (390) ~ (all_477_0_595 = 0) | ~ (all_477_1_596 = 0)
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with all_0_6_6, n3, all_477_0_595, 0 and discharging atoms leq(all_0_6_6, n3) = all_477_0_595, leq(all_0_6_6, n3) = 0, yields:
% 43.00/11.43 | (391) all_477_0_595 = 0
% 43.00/11.43 |
% 43.00/11.43 | Instantiating formula (108) with n0, all_0_6_6, all_477_1_596, 0 and discharging atoms leq(n0, all_0_6_6) = all_477_1_596, leq(n0, all_0_6_6) = 0, yields:
% 43.00/11.44 | (392) all_477_1_596 = 0
% 43.00/11.44 |
% 43.00/11.44 +-Applying beta-rule and splitting (390), into two cases.
% 43.00/11.44 |-Branch one:
% 43.00/11.44 | (393) ~ (all_477_0_595 = 0)
% 43.00/11.44 |
% 43.00/11.44 | Equations (391) can reduce 393 to:
% 43.00/11.44 | (143) $false
% 43.00/11.44 |
% 43.00/11.44 |-The branch is then unsatisfiable
% 43.00/11.44 |-Branch two:
% 43.00/11.44 | (391) all_477_0_595 = 0
% 43.00/11.44 | (396) ~ (all_477_1_596 = 0)
% 43.00/11.44 |
% 43.00/11.44 | Equations (392) can reduce 396 to:
% 43.00/11.44 | (143) $false
% 43.00/11.44 |
% 43.00/11.44 |-The branch is then unsatisfiable
% 43.00/11.44 |-Branch two:
% 43.00/11.44 | (289) all_0_8_8 = 0 & ( ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init))
% 43.00/11.44 |
% 43.00/11.44 | Applying alpha-rule on (289) yields:
% 43.00/11.44 | (290) all_0_8_8 = 0
% 43.00/11.44 | (291) ~ (pvar1402_init = init) | ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.00/11.44 |
% 43.00/11.44 +-Applying beta-rule and splitting (291), into two cases.
% 43.00/11.44 |-Branch one:
% 43.00/11.44 | (401) ~ (pvar1402_init = init)
% 43.00/11.44 |
% 43.00/11.44 | Equations (295) can reduce 401 to:
% 43.00/11.44 | (143) $false
% 43.00/11.44 |
% 43.00/11.44 |-The branch is then unsatisfiable
% 43.00/11.44 |-Branch two:
% 43.00/11.44 | (295) pvar1402_init = init
% 43.00/11.44 | (404) ~ (pvar1401_init = init) | ~ (pvar1400_init = init)
% 43.00/11.44 |
% 43.00/11.44 +-Applying beta-rule and splitting (404), into two cases.
% 43.00/11.44 |-Branch one:
% 43.00/11.44 | (405) ~ (pvar1401_init = init)
% 43.00/11.44 |
% 43.00/11.44 | Equations (296) can reduce 405 to:
% 43.00/11.44 | (143) $false
% 43.00/11.44 |
% 43.00/11.44 |-The branch is then unsatisfiable
% 43.00/11.44 |-Branch two:
% 43.00/11.44 | (296) pvar1401_init = init
% 43.00/11.44 | (408) ~ (pvar1400_init = init)
% 43.00/11.44 |
% 43.00/11.44 | Equations (297) can reduce 408 to:
% 43.00/11.44 | (143) $false
% 43.00/11.44 |
% 43.00/11.44 |-The branch is then unsatisfiable
% 43.00/11.44 % SZS output end Proof for theBenchmark
% 43.00/11.44
% 43.00/11.44 10933ms
%------------------------------------------------------------------------------