TSTP Solution File: SWV031+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV031+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 17:49:47 EDT 2022
% Result : Theorem 24.52s 6.86s
% Output : Proof 34.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV031+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 03:02:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.20/1.05 Prover 0: Preprocessing ...
% 4.14/1.55 Prover 0: Warning: ignoring some quantifiers
% 4.14/1.58 Prover 0: Constructing countermodel ...
% 20.49/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.81/6.00 Prover 1: Preprocessing ...
% 21.86/6.24 Prover 1: Warning: ignoring some quantifiers
% 21.86/6.25 Prover 1: Constructing countermodel ...
% 24.52/6.86 Prover 1: proved (945ms)
% 24.52/6.86 Prover 0: stopped
% 24.52/6.86
% 24.52/6.86 No countermodel exists, formula is valid
% 24.52/6.86 % SZS status Theorem for theBenchmark
% 24.52/6.86
% 24.52/6.86 Generating proof ... Warning: ignoring some quantifiers
% 34.27/9.12 found it (size 58)
% 34.27/9.12
% 34.27/9.12 % SZS output start Proof for theBenchmark
% 34.27/9.12 Assumed formulas after preprocessing and simplification:
% 34.27/9.12 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (def = use) & minus(n330, n1) = v1 & minus(n410, n1) = v0 & tptp_const_array2(v2, v3, init) = v4 & a_select3(v4, pv9, pv10) = v5 & dim(n0, v1) = v3 & dim(n0, v0) = v2 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv10, v1) = 0 & leq(pv9, v0) = 0 & leq(n0, pv10) = 0 & leq(n0, pv9) = 0 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v13] : ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ( ~ (tptp_mmul(v27, v28) = v29) | ~ (tptp_mmul(v20, v24) = v25) | ~ (tptp_mmul(v19, v25) = v26) | ~ (tptp_mmul(v18, v21) = v22) | ~ (tptp_mmul(v17, v22) = v23) | ~ (tptp_mmul(v16, v29) = v30) | ~ (tptp_madd(v23, v26) = v27) | ~ (tptp_madd(v15, v30) = v31) | ~ (trans(v19) = v24) | ~ (trans(v17) = v21) | ~ (trans(v16) = v28) | ~ (a_select3(v31, v32, v33) = v34) | ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ((v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v20, v36, v35) = v42 & a_select3(v20, v35, v36) = v41 & leq(v36, v13) = 0 & leq(v35, v13) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v18, v36, v35) = v42 & a_select3(v18, v35, v36) = v41 & leq(v36, v14) = 0 & leq(v35, v14) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 & ~ (v42 = v41) & a_select3(v15, v36, v35) = v42 & a_select3(v15, v35, v36) = v41 & leq(v36, v13) = 0 & leq(v35, v13) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (a_select3(v31, v33, v32) = v39 & leq(v33, v13) = v38 & leq(v32, v13) = v36 & leq(n0, v33) = v37 & leq(n0, v32) = v35 & ( ~ (v38 = 0) | ~ (v37 = 0) | ~ (v36 = 0) | ~ (v35 = 0) | v39 = v34)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (tptp_const_array2(v20, v21, v19) = v22) | ~ (a_select3(v22, v13, v16) = v23) | ~ (dim(v17, v18) = v21) | ~ (dim(v14, v15) = v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (leq(v17, v16) = v26 & leq(v16, v18) = v27 & leq(v14, v13) = v24 & leq(v13, v15) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0)))) & ? [v13] : ? [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (tptp_mmul(v16, v17) = v18) | ~ (tptp_mmul(v15, v18) = v19) | ~ (trans(v15) = v17) | ~ (a_select3(v19, v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((v28 = 0 & v27 = 0 & v26 = 0 & v25 = 0 & ~ (v30 = v29) & a_select3(v16, v24, v23) = v30 & a_select3(v16, v23, v24) = v29 & leq(v24, v14) = 0 & leq(v23, v14) = 0 & leq(n0, v24) = 0 & leq(n0, v23) = 0) | (a_select3(v19, v21, v20) = v27 & leq(v21, v13) = v26 & leq(v20, v13) = v24 & leq(n0, v21) = v25 & leq(n0, v20) = v23 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | v27 = v22)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v15, v16) = v17) | ~ (tptp_mmul(v14, v17) = v18) | ~ (trans(v14) = v16) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v15, v23, v22) = v29 & a_select3(v15, v22, v23) = v28 & leq(v23, v13) = 0 & leq(v22, v13) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v13) = v25 & leq(v19, v13) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v18 | ~ (tptp_update3(v17, v15, v16, v18) = v19) | ~ (a_select3(v19, v13, v14) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v27 = v18) & a_select3(v17, v21, v22) = v27 & leq(v22, v16) = 0 & leq(v21, v15) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (leq(v14, v16) = v24 & leq(v13, v15) = v22 & leq(n0, v14) = v23 & leq(n0, v13) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0))))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v13 | v16 = v14 | ~ (tptp_update3(v17, v14, v15, v18) = v19) | ~ (a_select3(v19, v16, v15) = v20) | ? [v21] : ( ~ (v21 = v13) & a_select3(v17, v16, v15) = v21)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (tptp_update3(v14, v17, v17, v18) = v19) | ~ (a_select3(v19, v15, v16) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & ~ (v28 = v27) & a_select3(v14, v22, v21) = v28 & a_select3(v14, v21, v22) = v27 & leq(v22, v13) = 0 & leq(v21, v13) = 0 & leq(n0, v22) = 0 & leq(n0, v21) = 0) | (a_select3(v19, v16, v15) = v27 & leq(v17, v13) = v26 & leq(v16, v13) = v24 & leq(v15, v13) = v22 & leq(n0, v17) = v25 & leq(n0, v16) = v23 & leq(n0, v15) = v21 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | v27 = v20)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v16 | ~ (dim(v14, v15) = v17) | ~ (tptp_const_array1(v17, v16) = v18) | ~ (a_select2(v18, v13) = v19) | ? [v20] : ? [v21] : (leq(v14, v13) = v20 & leq(v13, v15) = v21 & ( ~ (v21 = 0) | ~ (v20 = 0)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v13 | v15 = v14 | ~ (tptp_update2(v16, v14, v17) = v18) | ~ (a_select2(v18, v15) = v19) | ? [v20] : ( ~ (v20 = v13) & a_select2(v16, v15) = v20)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_msub(v14, v15) = v16) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v14, v21, v20) = v27 & a_select3(v14, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v13) = v23 & leq(v17, v13) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (tptp_madd(v14, v15) = v16) | ~ (a_select3(v16, v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v15, v21, v20) = v27 & a_select3(v15, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & ~ (v27 = v26) & a_select3(v14, v21, v20) = v27 & a_select3(v14, v20, v21) = v26 & leq(v21, v13) = 0 & leq(v20, v13) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v13) = v23 & leq(v17, v13) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update2(v15, v14, v16) = v17) | ~ (a_select2(v17, v13) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v21 = 0 & v20 = 0 & ~ (v22 = v16) & a_select2(v15, v19) = v22 & leq(v19, v14) = 0 & leq(n0, v19) = 0) | (leq(v13, v14) = v20 & leq(n0, v13) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (tptp_update3(v13, v14, v15, v16) = v17) | ~ (a_select3(v17, v14, v15) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v14 = v13 | ~ (tptp_update3(v18, v17, v16, v15) = v14) | ~ (tptp_update3(v18, v17, v16, v15) = v13)) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (inv(v14) = v15) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v14, v20, v19) = v26 & a_select3(v14, v19, v20) = v25 & leq(v20, v13) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v13) = v22 & leq(v16, v13) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ? [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (trans(v14) = v15) | ~ (a_select3(v15, v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & ~ (v26 = v25) & a_select3(v14, v20, v19) = v26 & a_select3(v14, v19, v20) = v25 & leq(v20, v13) = 0 & leq(v19, v13) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v13) = v22 & leq(v16, v13) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = v18)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v15 | ~ (tptp_update2(v13, v14, v15) = v16) | ~ (a_select2(v16, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (succ(v14) = v16) | ~ (succ(v13) = v15) | ~ (leq(v15, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & leq(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (tptp_update2(v17, v16, v15) = v14) | ~ (tptp_update2(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (sum(v17, v16, v15) = v14) | ~ (sum(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (tptp_const_array2(v17, v16, v15) = v14) | ~ (tptp_const_array2(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | ~ (a_select3(v17, v16, v15) = v14) | ~ (a_select3(v17, v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (uniform_int_rnd(v14, v13) = v15) | ~ (leq(v15, v13) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(n0, v13) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (succ(v14) = v15) | ~ (leq(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v13, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (succ(v14) = v15) | ~ (gt(v15, v13) = v16) | ? [v17] : ( ~ (v17 = 0) & leq(v13, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (pred(v14) = v15) | ~ (leq(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & gt(v14, v13) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (leq(v13, v15) = v16) | ~ (leq(v13, v14) = 0) | ? [v17] : ( ~ (v17 = 0) & leq(v14, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (gt(v13, v15) = v16) | ~ (gt(v13, v14) = 0) | ? [v17] : ( ~ (v17 = 0) & gt(v14, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (minus(v16, v15) = v14) | ~ (minus(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (plus(v16, v15) = v14) | ~ (plus(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_mmul(v16, v15) = v14) | ~ (tptp_mmul(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_msub(v16, v15) = v14) | ~ (tptp_msub(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_madd(v16, v15) = v14) | ~ (tptp_madd(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (dim(v16, v15) = v14) | ~ (dim(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (tptp_const_array1(v16, v15) = v14) | ~ (tptp_const_array1(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (a_select2(v16, v15) = v14) | ~ (a_select2(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (uniform_int_rnd(v16, v15) = v14) | ~ (uniform_int_rnd(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (geq(v16, v15) = v14) | ~ (geq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (lt(v16, v15) = v14) | ~ (lt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (leq(v16, v15) = v14) | ~ (leq(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (gt(v16, v15) = v14) | ~ (gt(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (succ(v14) = v16) | ~ (succ(v13) = v15) | ~ (leq(v15, v16) = 0) | leq(v13, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : (v15 = init | ~ (a_select3(simplex7_init, v14, v13) = v15) | ~ (leq(v13, n2) = 0) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & leq(n0, v13) = v16) | (leq(v14, n3) = v17 & leq(n0, v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (gt(v14, v13) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v13, v14) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = v13 | ~ (gt(v13, v14) = v15) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (succ(v13) = v14) | ~ (gt(v14, v13) = v15)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (geq(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & leq(v14, v13) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (lt(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & gt(v14, v13) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (inv(v15) = v14) | ~ (inv(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (trans(v15) = v14) | ~ (trans(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (succ(v15) = v14) | ~ (succ(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (pred(v15) = v14) | ~ (pred(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (minus(v13, v14) = v15) | ~ (leq(v15, v13) = 0) | leq(n0, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (uniform_int_rnd(v14, v13) = v15) | ? [v16] : ? [v17] : (leq(n0, v15) = v17 & leq(n0, v13) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (succ(v14) = v15) | ~ (gt(v15, v13) = 0) | leq(v13, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (succ(v13) = v15) | ~ (leq(v15, v14) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (pred(v14) = v15) | ~ (leq(v13, v15) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : (v14 = init | ~ (a_select2(s_values7_init, v13) = v14) | ? [v15] : ? [v16] : (leq(v13, n3) = v16 & leq(n0, v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v13] : ! [v14] : (v14 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v13) = v14)) & ! [v13] : ! [v14] : (v14 = n0 | ~ (sum(n0, tptp_minus_1, v13) = v14)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (leq(v13, v13) = v14)) & ! [v13] : ! [v14] : ( ~ (minus(v13, n1) = v14) | pred(v13) = v14) & ! [v13] : ! [v14] : ( ~ (plus(v13, n5) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v14 & succ(v17) = v18 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n4) = v14) | ? [v15] : ? [v16] : ? [v17] : (succ(v17) = v14 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n3) = v14) | ? [v15] : ? [v16] : (succ(v16) = v14 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n2) = v14) | ? [v15] : (succ(v15) = v14 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(v13, n1) = v14) | succ(v13) = v14) & ! [v13] : ! [v14] : ( ~ (plus(n5, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (succ(v18) = v14 & succ(v17) = v18 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n4, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (succ(v17) = v14 & succ(v16) = v17 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n3, v13) = v14) | ? [v15] : ? [v16] : (succ(v16) = v14 & succ(v15) = v16 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n2, v13) = v14) | ? [v15] : (succ(v15) = v14 & succ(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (plus(n1, v13) = v14) | succ(v13) = v14) & ! [v13] : ! [v14] : ( ~ (succ(v13) = v14) | pred(v14) = v13) & ! [v13] : ! [v14] : ( ~ (pred(v13) = v14) | succ(v14) = v13) & ! [v13] : ! [v14] : ( ~ (geq(v13, v14) = 0) | leq(v14, v13) = 0) & ! [v13] : ! [v14] : ( ~ (lt(v13, v14) = 0) | gt(v14, v13) = 0) & ! [v13] : ! [v14] : ( ~ (gt(v14, v13) = 0) | leq(v13, v14) = 0) & ! [v13] : (v13 = n5 | v13 = n4 | v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n5) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n4 | v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n4) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n3 | v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n3) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n2 | v13 = n1 | v13 = n0 | ~ (leq(v13, n2) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n1 | v13 = n0 | ~ (leq(v13, n1) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(n0, v13) = v14)) & ! [v13] : (v13 = n0 | ~ (leq(n0, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & leq(v13, n0) = v14)) & ! [v13] : ~ (gt(v13, v13) = 0) & ( ~ (v5 = init) | (v11 = 0 & v10 = 0 & v8 = 0 & v7 = 0 & ~ (v12 = init) & a_select3(simplex7_init, v9, v6) = v12 & leq(v9, n3) = 0 & leq(v6, n2) = 0 & leq(n0, v9) = 0 & leq(n0, v6) = 0) | (v8 = 0 & v7 = 0 & ~ (v9 = init) & a_select2(s_values7_init, v6) = v9 & leq(v6, n3) = 0 & leq(n0, v6) = 0)))
% 34.31/9.19 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12 yields:
% 34.31/9.19 | (1) ~ (def = use) & minus(n330, n1) = all_0_11_11 & minus(n410, n1) = all_0_12_12 & tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8 & a_select3(all_0_8_8, pv9, pv10) = all_0_7_7 & dim(n0, all_0_11_11) = all_0_9_9 & dim(n0, all_0_12_12) = all_0_10_10 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv10, all_0_11_11) = 0 & leq(pv9, all_0_12_12) = 0 & leq(n0, pv10) = 0 & leq(n0, pv9) = 0 & gt(n330, n5) = 0 & gt(n330, n4) = 0 & gt(n330, n3) = 0 & gt(n330, n2) = 0 & gt(n330, n1) = 0 & gt(n330, tptp_minus_1) = 0 & gt(n330, n0) = 0 & gt(n410, n330) = 0 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) | ~ (tptp_mmul(v7, v11) = v12) | ~ (tptp_mmul(v6, v12) = v13) | ~ (tptp_mmul(v5, v8) = v9) | ~ (tptp_mmul(v4, v9) = v10) | ~ (tptp_mmul(v3, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v2, v17) = v18) | ~ (trans(v6) = v11) | ~ (trans(v4) = v8) | ~ (trans(v3) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 & ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | v26 = v21)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v6 | ~ (tptp_const_array2(v7, v8, v6) = v9) | ~ (a_select3(v9, v0, v3) = v10) | ~ (dim(v4, v5) = v8) | ~ (dim(v1, v2) = v7) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) | ~ (tptp_mmul(v2, v5) = v6) | ~ (trans(v2) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = v9)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) | ~ (tptp_mmul(v1, v4) = v5) | ~ (trans(v1) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0))))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | v3 = v1 | ~ (tptp_update3(v4, v1, v2, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | v14 = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ? [v7] : ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | v2 = v1 | ~ (tptp_update2(v3, v1, v4) = v5) | ~ (a_select2(v5, v2) = v6) | ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | v11 = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v8 = 0 & v7 = 0 & ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v1) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = init | ~ (a_select3(simplex7_init, v1, v0) = v2) | ~ (leq(v0, n2) = 0) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = 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_7_7 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0))
% 34.79/9.23 |
% 34.79/9.23 | Applying alpha-rule on (1) yields:
% 34.79/9.23 | (2) dim(n0, all_0_12_12) = all_0_10_10
% 34.79/9.23 | (3) gt(n410, n3) = 0
% 34.79/9.23 | (4) gt(n330, n5) = 0
% 34.79/9.23 | (5) gt(n5, n3) = 0
% 34.79/9.23 | (6) ! [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))
% 34.79/9.23 | (7) minus(n330, n1) = all_0_11_11
% 34.79/9.23 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 34.79/9.23 | (9) ? [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))))
% 34.79/9.23 | (10) gt(n4, n1) = 0
% 34.79/9.23 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 34.79/9.23 | (12) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 34.79/9.23 | (13) minus(n410, n1) = all_0_12_12
% 34.79/9.23 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 34.79/9.23 | (15) gt(n4, tptp_minus_1) = 0
% 34.79/9.23 | (16) tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8
% 34.79/9.23 | (17) gt(n410, tptp_minus_1) = 0
% 34.79/9.23 | (18) gt(n0, tptp_minus_1) = 0
% 34.79/9.23 | (19) gt(n410, n1) = 0
% 34.79/9.23 | (20) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 34.79/9.23 | (21) ! [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)))))
% 34.79/9.23 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 34.79/9.23 | (23) gt(n410, n2) = 0
% 34.79/9.23 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 34.79/9.23 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 34.79/9.23 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 34.79/9.23 | (27) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 34.79/9.23 | (28) gt(n330, n2) = 0
% 34.79/9.23 | (29) gt(n330, tptp_minus_1) = 0
% 34.79/9.23 | (30) succ(tptp_minus_1) = n0
% 34.79/9.23 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 34.79/9.23 | (32) ! [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))))
% 34.79/9.23 | (33) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 34.79/9.23 | (34) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 34.79/9.23 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 34.79/9.23 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 34.79/9.23 | (37) gt(n330, n1) = 0
% 34.79/9.23 | (38) gt(n4, n0) = 0
% 34.79/9.24 | (39) a_select3(all_0_8_8, pv9, pv10) = all_0_7_7
% 34.79/9.24 | (40) gt(n3, n1) = 0
% 34.79/9.24 | (41) gt(n5, n0) = 0
% 34.79/9.24 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 34.79/9.24 | (43) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 34.79/9.24 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 34.79/9.24 | (45) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 34.79/9.24 | (46) dim(n0, all_0_11_11) = all_0_9_9
% 34.79/9.24 | (47) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 34.79/9.24 | (48) leq(pv9, all_0_12_12) = 0
% 34.79/9.24 | (49) leq(n0, pv9) = 0
% 34.79/9.24 | (50) succ(n0) = n1
% 34.79/9.24 | (51) leq(n0, pv10) = 0
% 34.79/9.24 | (52) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 34.79/9.24 | (53) gt(n4, n3) = 0
% 34.79/9.24 | (54) succ(n2) = n3
% 34.79/9.24 | (55) ? [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))
% 34.79/9.24 | (56) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 34.79/9.24 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 34.79/9.24 | (58) gt(n5, tptp_minus_1) = 0
% 34.79/9.24 | (59) gt(n1, tptp_minus_1) = 0
% 34.79/9.24 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 34.79/9.24 | (61) gt(n3, tptp_minus_1) = 0
% 34.79/9.24 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 34.79/9.24 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 34.79/9.24 | (64) ? [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))))
% 34.79/9.24 | (65) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 34.79/9.24 | (66) ! [v0] : ~ (gt(v0, v0) = 0)
% 34.79/9.24 | (67) gt(n5, n1) = 0
% 34.79/9.24 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 34.79/9.24 | (69) ? [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))))
% 34.79/9.24 | (70) gt(n5, n2) = 0
% 34.79/9.24 | (71) ! [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)))))
% 34.79/9.24 | (72) gt(n3, n2) = 0
% 34.79/9.24 | (73) ! [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))))
% 34.79/9.25 | (74) ! [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))
% 34.79/9.25 | (75) gt(n330, n3) = 0
% 34.79/9.25 | (76) gt(n4, n2) = 0
% 34.79/9.25 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 34.79/9.25 | (78) gt(n2, n1) = 0
% 34.79/9.25 | (79) gt(n2, tptp_minus_1) = 0
% 34.79/9.25 | (80) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 34.79/9.25 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 34.79/9.25 | (82) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 34.79/9.25 | (83) ? [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))))
% 34.79/9.25 | (84) true
% 34.79/9.25 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 34.79/9.25 | (86) gt(n410, n330) = 0
% 34.79/9.25 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 34.79/9.25 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 34.79/9.25 | (89) ? [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))
% 34.79/9.25 | (90) ? [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))))
% 34.79/9.25 | (91) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 34.79/9.25 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 34.79/9.25 | (93) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 34.79/9.25 | (94) succ(n1) = n2
% 34.79/9.25 | (95) ! [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)))))
% 34.79/9.25 | (96) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 34.79/9.25 | (97) ? [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))))
% 34.79/9.25 | (98) ! [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))))
% 34.79/9.25 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 34.79/9.25 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 34.79/9.26 | (101) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 34.79/9.26 | (102) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 34.79/9.26 | (103) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 34.79/9.26 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 34.79/9.26 | (105) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 34.79/9.26 | (106) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 34.79/9.26 | (107) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 34.79/9.26 | (108) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 34.79/9.26 | (109) gt(n3, n0) = 0
% 34.79/9.26 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 34.79/9.26 | (111) gt(n1, n0) = 0
% 34.79/9.26 | (112) gt(n410, n0) = 0
% 34.79/9.26 | (113) gt(n410, n4) = 0
% 34.79/9.26 | (114) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 34.79/9.26 | (115) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 34.79/9.26 | (116) gt(n330, n0) = 0
% 34.79/9.26 | (117) gt(n5, n4) = 0
% 34.79/9.26 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 34.79/9.26 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 34.79/9.26 | (120) gt(n330, n4) = 0
% 34.79/9.26 | (121) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 34.79/9.26 | (122) ? [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))))
% 34.79/9.26 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 34.79/9.26 | (124) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 34.79/9.26 | (125) ~ (all_0_7_7 = 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_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 34.79/9.26 | (126) succ(n3) = n4
% 34.79/9.26 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 34.79/9.26 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 34.79/9.26 | (129) ~ (def = use)
% 34.79/9.26 | (130) gt(n410, n5) = 0
% 34.79/9.26 | (131) gt(n2, n0) = 0
% 34.79/9.26 | (132) ? [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))))
% 34.79/9.27 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 34.79/9.27 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 34.79/9.27 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 34.79/9.27 | (136) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 34.79/9.27 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 34.79/9.27 | (138) succ(n4) = n5
% 34.79/9.27 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 34.79/9.27 | (140) leq(pv10, all_0_11_11) = 0
% 34.79/9.27 |
% 34.79/9.27 | Instantiating formula (73) with all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, init, all_0_11_11, n0, pv10, all_0_12_12, n0, pv9 and discharging atoms tptp_const_array2(all_0_10_10, all_0_9_9, init) = all_0_8_8, a_select3(all_0_8_8, pv9, pv10) = all_0_7_7, dim(n0, all_0_11_11) = all_0_9_9, dim(n0, all_0_12_12) = all_0_10_10, yields:
% 34.79/9.27 | (141) all_0_7_7 = init | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(pv10, all_0_11_11) = v3 & leq(pv9, all_0_12_12) = v1 & leq(n0, pv10) = v2 & leq(n0, pv9) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 34.79/9.27 |
% 34.79/9.27 +-Applying beta-rule and splitting (141), into two cases.
% 34.79/9.27 |-Branch one:
% 34.79/9.27 | (142) all_0_7_7 = init
% 34.79/9.27 |
% 34.79/9.27 +-Applying beta-rule and splitting (125), into two cases.
% 34.79/9.27 |-Branch one:
% 34.79/9.27 | (143) ~ (all_0_7_7 = init)
% 34.79/9.27 |
% 34.79/9.27 | Equations (142) can reduce 143 to:
% 34.79/9.27 | (144) $false
% 34.79/9.27 |
% 34.79/9.27 |-The branch is then unsatisfiable
% 34.79/9.27 |-Branch two:
% 34.79/9.27 | (142) all_0_7_7 = init
% 34.79/9.27 | (146) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 & ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 34.79/9.27 |
% 34.79/9.27 +-Applying beta-rule and splitting (146), into two cases.
% 34.79/9.27 |-Branch one:
% 34.79/9.27 | (147) 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
% 34.79/9.27 |
% 34.79/9.27 | Applying alpha-rule on (147) yields:
% 34.79/9.27 | (148) leq(n0, all_0_6_6) = 0
% 34.79/9.27 | (149) ~ (all_0_0_0 = init)
% 34.79/9.27 | (150) all_0_4_4 = 0
% 34.79/9.27 | (151) all_0_1_1 = 0
% 34.79/9.27 | (152) all_0_5_5 = 0
% 34.79/9.27 | (153) leq(all_0_6_6, n2) = 0
% 34.79/9.27 | (154) leq(n0, all_0_3_3) = 0
% 34.79/9.27 | (155) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 34.79/9.27 | (156) all_0_2_2 = 0
% 34.79/9.27 | (157) leq(all_0_3_3, n3) = 0
% 34.79/9.27 |
% 34.79/9.27 | Instantiating formula (95) 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:
% 34.79/9.27 | (158) 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))))
% 34.79/9.27 |
% 34.79/9.27 +-Applying beta-rule and splitting (158), into two cases.
% 34.79/9.27 |-Branch one:
% 34.79/9.27 | (159) all_0_0_0 = init
% 34.79/9.27 |
% 34.79/9.27 | Equations (159) can reduce 149 to:
% 34.79/9.27 | (144) $false
% 34.79/9.27 |
% 34.79/9.27 |-The branch is then unsatisfiable
% 34.79/9.27 |-Branch two:
% 34.79/9.27 | (149) ~ (all_0_0_0 = init)
% 34.79/9.27 | (162) ? [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))))
% 34.79/9.27 |
% 34.79/9.27 | Instantiating (162) with all_1448_0_92, all_1448_1_93 yields:
% 34.79/9.28 | (163) ( ~ (all_1448_1_93 = 0) & leq(n0, all_0_6_6) = all_1448_1_93) | (leq(all_0_3_3, n3) = all_1448_0_92 & leq(n0, all_0_3_3) = all_1448_1_93 & ( ~ (all_1448_0_92 = 0) | ~ (all_1448_1_93 = 0)))
% 34.79/9.28 |
% 34.79/9.28 +-Applying beta-rule and splitting (163), into two cases.
% 34.79/9.28 |-Branch one:
% 34.79/9.28 | (164) ~ (all_1448_1_93 = 0) & leq(n0, all_0_6_6) = all_1448_1_93
% 34.79/9.28 |
% 34.79/9.28 | Applying alpha-rule on (164) yields:
% 34.79/9.28 | (165) ~ (all_1448_1_93 = 0)
% 34.79/9.28 | (166) leq(n0, all_0_6_6) = all_1448_1_93
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (8) with n0, all_0_6_6, all_1448_1_93, 0 and discharging atoms leq(n0, all_0_6_6) = all_1448_1_93, leq(n0, all_0_6_6) = 0, yields:
% 34.79/9.28 | (167) all_1448_1_93 = 0
% 34.79/9.28 |
% 34.79/9.28 | Equations (167) can reduce 165 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (169) leq(all_0_3_3, n3) = all_1448_0_92 & leq(n0, all_0_3_3) = all_1448_1_93 & ( ~ (all_1448_0_92 = 0) | ~ (all_1448_1_93 = 0))
% 34.79/9.28 |
% 34.79/9.28 | Applying alpha-rule on (169) yields:
% 34.79/9.28 | (170) leq(all_0_3_3, n3) = all_1448_0_92
% 34.79/9.28 | (171) leq(n0, all_0_3_3) = all_1448_1_93
% 34.79/9.28 | (172) ~ (all_1448_0_92 = 0) | ~ (all_1448_1_93 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (8) with all_0_3_3, n3, all_1448_0_92, 0 and discharging atoms leq(all_0_3_3, n3) = all_1448_0_92, leq(all_0_3_3, n3) = 0, yields:
% 34.79/9.28 | (173) all_1448_0_92 = 0
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (8) with n0, all_0_3_3, all_1448_1_93, 0 and discharging atoms leq(n0, all_0_3_3) = all_1448_1_93, leq(n0, all_0_3_3) = 0, yields:
% 34.79/9.28 | (167) all_1448_1_93 = 0
% 34.79/9.28 |
% 34.79/9.28 +-Applying beta-rule and splitting (172), into two cases.
% 34.79/9.28 |-Branch one:
% 34.79/9.28 | (175) ~ (all_1448_0_92 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Equations (173) can reduce 175 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (173) all_1448_0_92 = 0
% 34.79/9.28 | (165) ~ (all_1448_1_93 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Equations (167) can reduce 165 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (180) 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
% 34.79/9.28 |
% 34.79/9.28 | Applying alpha-rule on (180) yields:
% 34.79/9.28 | (148) leq(n0, all_0_6_6) = 0
% 34.79/9.28 | (182) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 34.79/9.28 | (150) all_0_4_4 = 0
% 34.79/9.28 | (184) ~ (all_0_3_3 = init)
% 34.79/9.28 | (152) all_0_5_5 = 0
% 34.79/9.28 | (186) leq(all_0_6_6, n3) = 0
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (32) 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:
% 34.79/9.28 | (187) 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)))
% 34.79/9.28 |
% 34.79/9.28 +-Applying beta-rule and splitting (187), into two cases.
% 34.79/9.28 |-Branch one:
% 34.79/9.28 | (188) all_0_3_3 = init
% 34.79/9.28 |
% 34.79/9.28 | Equations (188) can reduce 184 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (184) ~ (all_0_3_3 = init)
% 34.79/9.28 | (191) ? [v0] : ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 34.79/9.28 |
% 34.79/9.28 | Instantiating (191) with all_1381_0_108, all_1381_1_109 yields:
% 34.79/9.28 | (192) leq(all_0_6_6, n3) = all_1381_0_108 & leq(n0, all_0_6_6) = all_1381_1_109 & ( ~ (all_1381_0_108 = 0) | ~ (all_1381_1_109 = 0))
% 34.79/9.28 |
% 34.79/9.28 | Applying alpha-rule on (192) yields:
% 34.79/9.28 | (193) leq(all_0_6_6, n3) = all_1381_0_108
% 34.79/9.28 | (194) leq(n0, all_0_6_6) = all_1381_1_109
% 34.79/9.28 | (195) ~ (all_1381_0_108 = 0) | ~ (all_1381_1_109 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (8) with all_0_6_6, n3, all_1381_0_108, 0 and discharging atoms leq(all_0_6_6, n3) = all_1381_0_108, leq(all_0_6_6, n3) = 0, yields:
% 34.79/9.28 | (196) all_1381_0_108 = 0
% 34.79/9.28 |
% 34.79/9.28 | Instantiating formula (8) with n0, all_0_6_6, all_1381_1_109, 0 and discharging atoms leq(n0, all_0_6_6) = all_1381_1_109, leq(n0, all_0_6_6) = 0, yields:
% 34.79/9.28 | (197) all_1381_1_109 = 0
% 34.79/9.28 |
% 34.79/9.28 +-Applying beta-rule and splitting (195), into two cases.
% 34.79/9.28 |-Branch one:
% 34.79/9.28 | (198) ~ (all_1381_0_108 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Equations (196) can reduce 198 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (196) all_1381_0_108 = 0
% 34.79/9.28 | (201) ~ (all_1381_1_109 = 0)
% 34.79/9.28 |
% 34.79/9.28 | Equations (197) can reduce 201 to:
% 34.79/9.28 | (144) $false
% 34.79/9.28 |
% 34.79/9.28 |-The branch is then unsatisfiable
% 34.79/9.28 |-Branch two:
% 34.79/9.28 | (143) ~ (all_0_7_7 = init)
% 34.79/9.28 | (204) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(pv10, all_0_11_11) = v3 & leq(pv9, all_0_12_12) = v1 & leq(n0, pv10) = v2 & leq(n0, pv9) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 34.79/9.28 |
% 34.79/9.28 | Instantiating (204) with all_41_0_130, all_41_1_131, all_41_2_132, all_41_3_133 yields:
% 34.79/9.28 | (205) leq(pv10, all_0_11_11) = all_41_0_130 & leq(pv9, all_0_12_12) = all_41_2_132 & leq(n0, pv10) = all_41_1_131 & leq(n0, pv9) = all_41_3_133 & ( ~ (all_41_0_130 = 0) | ~ (all_41_1_131 = 0) | ~ (all_41_2_132 = 0) | ~ (all_41_3_133 = 0))
% 34.79/9.28 |
% 34.79/9.28 | Applying alpha-rule on (205) yields:
% 34.79/9.28 | (206) leq(pv9, all_0_12_12) = all_41_2_132
% 34.79/9.28 | (207) ~ (all_41_0_130 = 0) | ~ (all_41_1_131 = 0) | ~ (all_41_2_132 = 0) | ~ (all_41_3_133 = 0)
% 34.79/9.28 | (208) leq(pv10, all_0_11_11) = all_41_0_130
% 34.79/9.28 | (209) leq(n0, pv10) = all_41_1_131
% 34.79/9.29 | (210) leq(n0, pv9) = all_41_3_133
% 34.79/9.29 |
% 34.79/9.29 | Instantiating formula (8) with pv10, all_0_11_11, all_41_0_130, 0 and discharging atoms leq(pv10, all_0_11_11) = all_41_0_130, leq(pv10, all_0_11_11) = 0, yields:
% 34.79/9.29 | (211) all_41_0_130 = 0
% 34.79/9.29 |
% 34.79/9.29 | Instantiating formula (8) with pv9, all_0_12_12, all_41_2_132, 0 and discharging atoms leq(pv9, all_0_12_12) = all_41_2_132, leq(pv9, all_0_12_12) = 0, yields:
% 34.79/9.29 | (212) all_41_2_132 = 0
% 34.79/9.29 |
% 34.79/9.29 | Instantiating formula (8) with n0, pv10, all_41_1_131, 0 and discharging atoms leq(n0, pv10) = all_41_1_131, leq(n0, pv10) = 0, yields:
% 34.79/9.29 | (213) all_41_1_131 = 0
% 34.79/9.29 |
% 34.79/9.29 | Instantiating formula (8) with n0, pv9, all_41_3_133, 0 and discharging atoms leq(n0, pv9) = all_41_3_133, leq(n0, pv9) = 0, yields:
% 34.79/9.29 | (214) all_41_3_133 = 0
% 34.79/9.29 |
% 34.79/9.29 +-Applying beta-rule and splitting (207), into two cases.
% 34.79/9.29 |-Branch one:
% 34.79/9.29 | (215) ~ (all_41_0_130 = 0)
% 34.79/9.29 |
% 34.79/9.29 | Equations (211) can reduce 215 to:
% 34.79/9.29 | (144) $false
% 34.79/9.29 |
% 34.79/9.29 |-The branch is then unsatisfiable
% 34.79/9.29 |-Branch two:
% 34.79/9.29 | (211) all_41_0_130 = 0
% 34.79/9.29 | (218) ~ (all_41_1_131 = 0) | ~ (all_41_2_132 = 0) | ~ (all_41_3_133 = 0)
% 34.79/9.29 |
% 34.79/9.29 +-Applying beta-rule and splitting (218), into two cases.
% 34.79/9.29 |-Branch one:
% 34.79/9.29 | (219) ~ (all_41_1_131 = 0)
% 34.79/9.29 |
% 34.79/9.29 | Equations (213) can reduce 219 to:
% 34.79/9.29 | (144) $false
% 34.79/9.29 |
% 34.79/9.29 |-The branch is then unsatisfiable
% 34.79/9.29 |-Branch two:
% 34.79/9.29 | (213) all_41_1_131 = 0
% 34.79/9.29 | (222) ~ (all_41_2_132 = 0) | ~ (all_41_3_133 = 0)
% 34.79/9.29 |
% 34.79/9.29 +-Applying beta-rule and splitting (222), into two cases.
% 34.79/9.29 |-Branch one:
% 34.79/9.29 | (223) ~ (all_41_2_132 = 0)
% 34.79/9.29 |
% 34.79/9.29 | Equations (212) can reduce 223 to:
% 34.79/9.29 | (144) $false
% 34.79/9.29 |
% 34.79/9.29 |-The branch is then unsatisfiable
% 34.79/9.29 |-Branch two:
% 34.79/9.29 | (212) all_41_2_132 = 0
% 34.79/9.29 | (226) ~ (all_41_3_133 = 0)
% 34.79/9.29 |
% 34.79/9.29 | Equations (214) can reduce 226 to:
% 34.79/9.29 | (144) $false
% 34.79/9.29 |
% 34.79/9.29 |-The branch is then unsatisfiable
% 34.79/9.29 % SZS output end Proof for theBenchmark
% 34.79/9.29
% 34.79/9.29 8702ms
%------------------------------------------------------------------------------