TSTP Solution File: SWV055+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.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 17:49:51 EDT 2022
% Result : Theorem 23.08s 6.73s
% Output : Proof 31.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 10:33:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.59 ____ _
% 0.48/0.59 ___ / __ \_____(_)___ ________ __________
% 0.48/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.59
% 0.48/0.59 A Theorem Prover for First-Order Logic
% 0.48/0.59 (ePrincess v.1.0)
% 0.48/0.59
% 0.48/0.59 (c) Philipp Rümmer, 2009-2015
% 0.48/0.59 (c) Peter Backeman, 2014-2015
% 0.48/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.59 Bug reports to peter@backeman.se
% 0.48/0.59
% 0.48/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.59
% 0.48/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.22/1.08 Prover 0: Preprocessing ...
% 4.08/1.57 Prover 0: Warning: ignoring some quantifiers
% 4.27/1.60 Prover 0: Constructing countermodel ...
% 19.57/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.99/6.06 Prover 1: Preprocessing ...
% 20.99/6.26 Prover 1: Warning: ignoring some quantifiers
% 20.99/6.27 Prover 1: Constructing countermodel ...
% 23.08/6.73 Prover 1: proved (793ms)
% 23.08/6.73 Prover 0: stopped
% 23.08/6.73
% 23.08/6.73 No countermodel exists, formula is valid
% 23.08/6.73 % SZS status Theorem for theBenchmark
% 23.08/6.73
% 23.08/6.73 Generating proof ... Warning: ignoring some quantifiers
% 30.10/8.35 found it (size 92)
% 30.10/8.35
% 30.10/8.35 % SZS output start Proof for theBenchmark
% 30.10/8.35 Assumed formulas after preprocessing and simplification:
% 30.10/8.35 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ( ~ (def = use) & minus(n135300, n1) = v0 & minus(pv10, n1) = v1 & minus(n5, n1) = v2 & minus(n0, n1) = v3 & a_select2(x, pv10) = v4 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv10, v0) = 0 & leq(n0, pv10) = 0 & gt(n135300, n5) = 0 & gt(n135300, n4) = 0 & gt(n135300, n3) = 0 & gt(n135300, n2) = 0 & gt(n135300, n1) = 0 & gt(n135300, tptp_minus_1) = 0 & gt(n135300, 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 & ? [v20] : ? [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ! [v40] : ! [v41] : ( ~ (tptp_mmul(v34, v35) = v36) | ~ (tptp_mmul(v27, v31) = v32) | ~ (tptp_mmul(v26, v32) = v33) | ~ (tptp_mmul(v25, v28) = v29) | ~ (tptp_mmul(v24, v29) = v30) | ~ (tptp_mmul(v23, v36) = v37) | ~ (tptp_madd(v30, v33) = v34) | ~ (tptp_madd(v22, v37) = v38) | ~ (trans(v26) = v31) | ~ (trans(v24) = v28) | ~ (trans(v23) = v35) | ~ (a_select3(v38, v39, v40) = v41) | ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ((v47 = 0 & v46 = 0 & v45 = 0 & v44 = 0 & ~ (v49 = v48) & a_select3(v27, v43, v42) = v49 & a_select3(v27, v42, v43) = v48 & leq(v43, v20) = 0 & leq(v42, v20) = 0 & leq(n0, v43) = 0 & leq(n0, v42) = 0) | (v47 = 0 & v46 = 0 & v45 = 0 & v44 = 0 & ~ (v49 = v48) & a_select3(v25, v43, v42) = v49 & a_select3(v25, v42, v43) = v48 & leq(v43, v21) = 0 & leq(v42, v21) = 0 & leq(n0, v43) = 0 & leq(n0, v42) = 0) | (v47 = 0 & v46 = 0 & v45 = 0 & v44 = 0 & ~ (v49 = v48) & a_select3(v22, v43, v42) = v49 & a_select3(v22, v42, v43) = v48 & leq(v43, v20) = 0 & leq(v42, v20) = 0 & leq(n0, v43) = 0 & leq(n0, v42) = 0) | (a_select3(v38, v40, v39) = v46 & leq(v40, v20) = v45 & leq(v39, v20) = v43 & leq(n0, v40) = v44 & leq(n0, v39) = v42 & ( ~ (v45 = 0) | ~ (v44 = 0) | ~ (v43 = 0) | ~ (v42 = 0) | v46 = v41)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v30 = v26 | ~ (tptp_const_array2(v27, v28, v26) = v29) | ~ (a_select3(v29, v20, v23) = v30) | ~ (dim(v24, v25) = v28) | ~ (dim(v21, v22) = v27) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : (leq(v24, v23) = v33 & leq(v23, v25) = v34 & leq(v21, v20) = v31 & leq(v20, v22) = v32 & ( ~ (v34 = 0) | ~ (v33 = 0) | ~ (v32 = 0) | ~ (v31 = 0)))) & ? [v20] : ? [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (tptp_mmul(v23, v24) = v25) | ~ (tptp_mmul(v22, v25) = v26) | ~ (trans(v22) = v24) | ~ (a_select3(v26, v27, v28) = v29) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ((v35 = 0 & v34 = 0 & v33 = 0 & v32 = 0 & ~ (v37 = v36) & a_select3(v23, v31, v30) = v37 & a_select3(v23, v30, v31) = v36 & leq(v31, v21) = 0 & leq(v30, v21) = 0 & leq(n0, v31) = 0 & leq(n0, v30) = 0) | (a_select3(v26, v28, v27) = v34 & leq(v28, v20) = v33 & leq(v27, v20) = v31 & leq(n0, v28) = v32 & leq(n0, v27) = v30 & ( ~ (v33 = 0) | ~ (v32 = 0) | ~ (v31 = 0) | ~ (v30 = 0) | v34 = v29)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (tptp_mmul(v22, v23) = v24) | ~ (tptp_mmul(v21, v24) = v25) | ~ (trans(v21) = v23) | ~ (a_select3(v25, v26, v27) = v28) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ((v34 = 0 & v33 = 0 & v32 = 0 & v31 = 0 & ~ (v36 = v35) & a_select3(v22, v30, v29) = v36 & a_select3(v22, v29, v30) = v35 & leq(v30, v20) = 0 & leq(v29, v20) = 0 & leq(n0, v30) = 0 & leq(n0, v29) = 0) | (a_select3(v25, v27, v26) = v33 & leq(v27, v20) = v32 & leq(v26, v20) = v30 & leq(n0, v27) = v31 & leq(n0, v26) = v29 & ( ~ (v32 = 0) | ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | v33 = v28)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = v25 | ~ (tptp_update3(v24, v22, v23, v25) = v26) | ~ (a_select3(v26, v20, v21) = v27) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v33 = 0 & v32 = 0 & v31 = 0 & v30 = 0 & ~ (v34 = v25) & a_select3(v24, v28, v29) = v34 & leq(v29, v23) = 0 & leq(v28, v22) = 0 & leq(n0, v29) = 0 & leq(n0, v28) = 0) | (leq(v21, v23) = v31 & leq(v20, v22) = v29 & leq(n0, v21) = v30 & leq(n0, v20) = v28 & ( ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0))))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v27 = v20 | v23 = v21 | ~ (tptp_update3(v24, v21, v22, v25) = v26) | ~ (a_select3(v26, v23, v22) = v27) | ? [v28] : ( ~ (v28 = v20) & a_select3(v24, v23, v22) = v28)) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (tptp_update3(v21, v24, v24, v25) = v26) | ~ (a_select3(v26, v22, v23) = v27) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ((v33 = 0 & v32 = 0 & v31 = 0 & v30 = 0 & ~ (v35 = v34) & a_select3(v21, v29, v28) = v35 & a_select3(v21, v28, v29) = v34 & leq(v29, v20) = 0 & leq(v28, v20) = 0 & leq(n0, v29) = 0 & leq(n0, v28) = 0) | (a_select3(v26, v23, v22) = v34 & leq(v24, v20) = v33 & leq(v23, v20) = v31 & leq(v22, v20) = v29 & leq(n0, v24) = v32 & leq(n0, v23) = v30 & leq(n0, v22) = v28 & ( ~ (v33 = 0) | ~ (v32 = 0) | ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | v34 = v27)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v23 | ~ (dim(v21, v22) = v24) | ~ (tptp_const_array1(v24, v23) = v25) | ~ (a_select2(v25, v20) = v26) | ? [v27] : ? [v28] : (leq(v21, v20) = v27 & leq(v20, v22) = v28 & ( ~ (v28 = 0) | ~ (v27 = 0)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v20 | v22 = v21 | ~ (tptp_update2(v23, v21, v24) = v25) | ~ (a_select2(v25, v22) = v26) | ? [v27] : ( ~ (v27 = v20) & a_select2(v23, v22) = v27)) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (tptp_msub(v21, v22) = v23) | ~ (a_select3(v23, v24, v25) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 & ~ (v34 = v33) & a_select3(v22, v28, v27) = v34 & a_select3(v22, v27, v28) = v33 & leq(v28, v20) = 0 & leq(v27, v20) = 0 & leq(n0, v28) = 0 & leq(n0, v27) = 0) | (v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 & ~ (v34 = v33) & a_select3(v21, v28, v27) = v34 & a_select3(v21, v27, v28) = v33 & leq(v28, v20) = 0 & leq(v27, v20) = 0 & leq(n0, v28) = 0 & leq(n0, v27) = 0) | (a_select3(v23, v25, v24) = v31 & leq(v25, v20) = v30 & leq(v24, v20) = v28 & leq(n0, v25) = v29 & leq(n0, v24) = v27 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | v31 = v26)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (tptp_madd(v21, v22) = v23) | ~ (a_select3(v23, v24, v25) = v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ((v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 & ~ (v34 = v33) & a_select3(v22, v28, v27) = v34 & a_select3(v22, v27, v28) = v33 & leq(v28, v20) = 0 & leq(v27, v20) = 0 & leq(n0, v28) = 0 & leq(n0, v27) = 0) | (v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 & ~ (v34 = v33) & a_select3(v21, v28, v27) = v34 & a_select3(v21, v27, v28) = v33 & leq(v28, v20) = 0 & leq(v27, v20) = 0 & leq(n0, v28) = 0 & leq(n0, v27) = 0) | (a_select3(v23, v25, v24) = v31 & leq(v25, v20) = v30 & leq(v24, v20) = v28 & leq(n0, v25) = v29 & leq(n0, v24) = v27 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | v31 = v26)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v23 | ~ (tptp_update2(v22, v21, v23) = v24) | ~ (a_select2(v24, v20) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((v28 = 0 & v27 = 0 & ~ (v29 = v23) & a_select2(v22, v26) = v29 & leq(v26, v21) = 0 & leq(n0, v26) = 0) | (leq(v20, v21) = v27 & leq(n0, v20) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0))))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v23 | ~ (tptp_update3(v20, v21, v22, v23) = v24) | ~ (a_select3(v24, v21, v22) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v20 | ~ (tptp_update3(v25, v24, v23, v22) = v21) | ~ (tptp_update3(v25, v24, v23, v22) = v20)) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (inv(v21) = v22) | ~ (a_select3(v22, v23, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v21, v27, v26) = v33 & a_select3(v21, v26, v27) = v32 & leq(v27, v20) = 0 & leq(v26, v20) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (a_select3(v22, v24, v23) = v30 & leq(v24, v20) = v29 & leq(v23, v20) = v27 & leq(n0, v24) = v28 & leq(n0, v23) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v30 = v25)))) & ? [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (trans(v21) = v22) | ~ (a_select3(v22, v23, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ((v31 = 0 & v30 = 0 & v29 = 0 & v28 = 0 & ~ (v33 = v32) & a_select3(v21, v27, v26) = v33 & a_select3(v21, v26, v27) = v32 & leq(v27, v20) = 0 & leq(v26, v20) = 0 & leq(n0, v27) = 0 & leq(n0, v26) = 0) | (a_select3(v22, v24, v23) = v30 & leq(v24, v20) = v29 & leq(v23, v20) = v27 & leq(n0, v24) = v28 & leq(n0, v23) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v30 = v25)))) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (tptp_update2(v20, v21, v22) = v23) | ~ (a_select2(v23, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (succ(v21) = v23) | ~ (succ(v20) = v22) | ~ (leq(v22, v23) = v24) | ? [v25] : ( ~ (v25 = 0) & leq(v20, v21) = v25)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (tptp_update2(v24, v23, v22) = v21) | ~ (tptp_update2(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (sum(v24, v23, v22) = v21) | ~ (sum(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (tptp_const_array2(v24, v23, v22) = v21) | ~ (tptp_const_array2(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v20 | ~ (a_select3(v24, v23, v22) = v21) | ~ (a_select3(v24, v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (uniform_int_rnd(v21, v20) = v22) | ~ (leq(v22, v20) = v23) | ? [v24] : ( ~ (v24 = 0) & leq(n0, v20) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (succ(v21) = v22) | ~ (leq(v20, v22) = v23) | ? [v24] : ( ~ (v24 = 0) & leq(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (succ(v21) = v22) | ~ (gt(v22, v20) = v23) | ? [v24] : ( ~ (v24 = 0) & leq(v20, v21) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (pred(v21) = v22) | ~ (leq(v20, v22) = v23) | ? [v24] : ( ~ (v24 = 0) & gt(v21, v20) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (leq(v20, v22) = v23) | ~ (leq(v20, v21) = 0) | ? [v24] : ( ~ (v24 = 0) & leq(v21, v22) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (gt(v20, v22) = v23) | ~ (gt(v20, v21) = 0) | ? [v24] : ( ~ (v24 = 0) & gt(v21, v22) = v24)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (times(v23, v22) = v21) | ~ (times(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (divide(v23, v22) = v21) | ~ (divide(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (minus(v23, v22) = v21) | ~ (minus(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (plus(v23, v22) = v21) | ~ (plus(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (tptp_mmul(v23, v22) = v21) | ~ (tptp_mmul(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (tptp_msub(v23, v22) = v21) | ~ (tptp_msub(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (tptp_madd(v23, v22) = v21) | ~ (tptp_madd(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (dim(v23, v22) = v21) | ~ (dim(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (tptp_const_array1(v23, v22) = v21) | ~ (tptp_const_array1(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (a_select2(v23, v22) = v21) | ~ (a_select2(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (uniform_int_rnd(v23, v22) = v21) | ~ (uniform_int_rnd(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (geq(v23, v22) = v21) | ~ (geq(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (lt(v23, v22) = v21) | ~ (lt(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (leq(v23, v22) = v21) | ~ (leq(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (gt(v23, v22) = v21) | ~ (gt(v23, v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (succ(v21) = v23) | ~ (succ(v20) = v22) | ~ (leq(v22, v23) = 0) | leq(v20, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | v21 = v20 | ~ (gt(v21, v20) = v22) | ? [v23] : ( ~ (v23 = 0) & leq(v20, v21) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | v21 = v20 | ~ (gt(v20, v21) = v22) | gt(v21, v20) = 0) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (succ(v20) = v21) | ~ (gt(v21, v20) = v22)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (geq(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & leq(v21, v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (lt(v20, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & gt(v21, v20) = v23)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (sqrt(v22) = v21) | ~ (sqrt(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (inv(v22) = v21) | ~ (inv(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (trans(v22) = v21) | ~ (trans(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (succ(v22) = v21) | ~ (succ(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (pred(v22) = v21) | ~ (pred(v22) = v20)) & ! [v20] : ! [v21] : ! [v22] : ( ~ (minus(v20, v21) = v22) | ~ (leq(v22, v20) = 0) | leq(n0, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (a_select3(q, v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : (sum(n0, v2, v22) = v25 & leq(v20, v1) = v24 & leq(n0, v20) = v23 & ( ~ (v24 = 0) | ~ (v23 = 0) | v25 = n1))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (uniform_int_rnd(v21, v20) = v22) | ? [v23] : ? [v24] : (leq(n0, v22) = v24 & leq(n0, v20) = v23 & ( ~ (v23 = 0) | v24 = 0))) & ! [v20] : ! [v21] : ! [v22] : ( ~ (succ(v21) = v22) | ~ (gt(v22, v20) = 0) | leq(v20, v21) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (succ(v20) = v22) | ~ (leq(v22, v21) = 0) | gt(v21, v20) = 0) & ! [v20] : ! [v21] : ! [v22] : ( ~ (pred(v21) = v22) | ~ (leq(v20, v22) = 0) | gt(v21, v20) = 0) & ! [v20] : ! [v21] : (v21 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v20) = v21)) & ! [v20] : ! [v21] : (v21 = n0 | ~ (sum(n0, tptp_minus_1, v20) = v21)) & ! [v20] : ! [v21] : (v21 = 0 | ~ (leq(v20, v20) = v21)) & ! [v20] : ! [v21] : ( ~ (minus(v20, n1) = v21) | pred(v20) = v21) & ! [v20] : ! [v21] : ( ~ (plus(v20, n5) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (succ(v25) = v21 & succ(v24) = v25 & succ(v23) = v24 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(v20, n4) = v21) | ? [v22] : ? [v23] : ? [v24] : (succ(v24) = v21 & succ(v23) = v24 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(v20, n3) = v21) | ? [v22] : ? [v23] : (succ(v23) = v21 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(v20, n2) = v21) | ? [v22] : (succ(v22) = v21 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(v20, n1) = v21) | succ(v20) = v21) & ! [v20] : ! [v21] : ( ~ (plus(n5, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (succ(v25) = v21 & succ(v24) = v25 & succ(v23) = v24 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(n4, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (succ(v24) = v21 & succ(v23) = v24 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(n3, v20) = v21) | ? [v22] : ? [v23] : (succ(v23) = v21 & succ(v22) = v23 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(n2, v20) = v21) | ? [v22] : (succ(v22) = v21 & succ(v20) = v22)) & ! [v20] : ! [v21] : ( ~ (plus(n1, v20) = v21) | succ(v20) = v21) & ! [v20] : ! [v21] : ( ~ (succ(v20) = v21) | pred(v21) = v20) & ! [v20] : ! [v21] : ( ~ (pred(v20) = v21) | succ(v21) = v20) & ! [v20] : ! [v21] : ( ~ (geq(v20, v21) = 0) | leq(v21, v20) = 0) & ! [v20] : ! [v21] : ( ~ (lt(v20, v21) = 0) | gt(v21, v20) = 0) & ! [v20] : ! [v21] : ( ~ (gt(v21, v20) = 0) | leq(v20, v21) = 0) & ! [v20] : (v20 = n5 | v20 = n4 | v20 = n3 | v20 = n2 | v20 = n1 | v20 = n0 | ~ (leq(v20, n5) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v20) = v21)) & ! [v20] : (v20 = n4 | v20 = n3 | v20 = n2 | v20 = n1 | v20 = n0 | ~ (leq(v20, n4) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v20) = v21)) & ! [v20] : (v20 = n3 | v20 = n2 | v20 = n1 | v20 = n0 | ~ (leq(v20, n3) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v20) = v21)) & ! [v20] : (v20 = n2 | v20 = n1 | v20 = n0 | ~ (leq(v20, n2) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v20) = v21)) & ! [v20] : (v20 = n1 | v20 = n0 | ~ (leq(v20, n1) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(n0, v20) = v21)) & ! [v20] : (v20 = n0 | ~ (leq(n0, v20) = 0) | ? [v21] : ( ~ (v21 = 0) & leq(v20, n0) = v21)) & ! [v20] : ~ (gt(v20, v20) = 0) & ((v8 = 0 & v7 = 0 & ~ (v19 = v9) & times(v15, v15) = v16 & times(v11, v11) = v12 & sqrt(v16) = v17 & sqrt(v12) = v13 & divide(v13, v18) = v19 & minus(v14, v4) = v15 & minus(v10, v4) = v11 & sum(n0, v2, v17) = v18 & a_select3(center, v6, n0) = v14 & a_select3(center, v5, n0) = v10 & a_select3(q, pv10, v5) = v9 & leq(v5, v3) = 0 & leq(n0, v5) = 0) | (v8 = 0 & v7 = 0 & ~ (v10 = n1) & sum(n0, v2, v9) = v10 & a_select3(q, v5, v6) = v9 & leq(v5, v1) = 0 & leq(n0, v5) = 0)))
% 30.51/8.42 | 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, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19 yields:
% 30.51/8.42 | (1) ~ (def = use) & minus(n135300, n1) = all_0_19_19 & minus(pv10, n1) = all_0_18_18 & minus(n5, n1) = all_0_17_17 & minus(n0, n1) = all_0_16_16 & a_select2(x, pv10) = all_0_15_15 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv10, all_0_19_19) = 0 & leq(n0, pv10) = 0 & gt(n135300, n5) = 0 & gt(n135300, n4) = 0 & gt(n135300, n3) = 0 & gt(n135300, n2) = 0 & gt(n135300, n1) = 0 & gt(n135300, tptp_minus_1) = 0 & gt(n135300, 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 | ~ (times(v3, v2) = v1) | ~ (times(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (divide(v3, v2) = v1) | ~ (divide(v3, v2) = v0)) & ! [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 = 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 | ~ (sqrt(v2) = v1) | ~ (sqrt(v2) = v0)) & ! [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] : ( ~ (a_select3(q, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sum(n0, all_0_17_17, v2) = v5 & leq(v0, all_0_18_18) = v4 & leq(n0, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = n1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(v0, n5) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus(n5, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) & ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) & ! [v0] : ~ (gt(v0, v0) = 0) & ((all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_15_15) = all_0_4_4 & minus(all_0_9_9, all_0_15_15) = all_0_8_8 & sum(n0, all_0_17_17, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_16_16) = 0 & leq(n0, all_0_14_14) = 0) | (all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_9_9 = n1) & sum(n0, all_0_17_17, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_18_18) = 0 & leq(n0, all_0_14_14) = 0))
% 30.51/8.44 |
% 30.51/8.44 | Applying alpha-rule on (1) yields:
% 30.51/8.44 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 30.51/8.44 | (3) succ(n3) = n4
% 30.51/8.45 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 30.51/8.45 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 30.51/8.45 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 30.51/8.45 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 30.51/8.45 | (8) succ(n4) = n5
% 30.51/8.45 | (9) ? [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))))
% 30.51/8.45 | (10) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 30.51/8.45 | (11) minus(pv10, n1) = all_0_18_18
% 30.51/8.45 | (12) ! [v0] : ! [v1] : (v1 = 0 | ~ (leq(v0, v0) = v1))
% 30.51/8.45 | (13) gt(n4, n2) = 0
% 30.51/8.45 | (14) ? [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))))
% 30.51/8.45 | (15) true
% 30.51/8.45 | (16) gt(n5, n2) = 0
% 30.51/8.45 | (17) gt(n2, n0) = 0
% 30.51/8.45 | (18) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (lt(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 30.51/8.45 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ? [v3] : ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 30.51/8.45 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (pred(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 30.51/8.45 | (21) gt(n5, n4) = 0
% 30.51/8.45 | (22) gt(n5, n1) = 0
% 30.51/8.45 | (23) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 30.51/8.45 | (24) gt(n3, n2) = 0
% 30.51/8.45 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 30.51/8.45 | (26) gt(n135300, n3) = 0
% 30.51/8.45 | (27) ! [v0] : (v0 = n0 | ~ (leq(n0, v0) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 30.51/8.45 | (28) gt(n135300, n0) = 0
% 30.51/8.45 | (29) gt(n4, tptp_minus_1) = 0
% 30.51/8.45 | (30) succ(n2) = n3
% 30.51/8.45 | (31) ? [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))
% 30.51/8.45 | (32) gt(n5, tptp_minus_1) = 0
% 30.51/8.45 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 30.51/8.45 | (34) gt(n2, tptp_minus_1) = 0
% 30.51/8.45 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 30.51/8.45 | (36) ! [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))))
% 30.51/8.45 | (37) gt(n135300, n2) = 0
% 30.51/8.45 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leq(v0, v2) = v3) | ~ (leq(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 30.51/8.45 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 30.51/8.46 | (40) gt(n5, n3) = 0
% 30.51/8.46 | (41) ? [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))))
% 30.51/8.46 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0))
% 30.51/8.46 | (43) ? [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))))
% 30.51/8.46 | (44) gt(n3, n1) = 0
% 30.51/8.46 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0))
% 30.51/8.46 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (leq(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 30.51/8.46 | (47) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 30.73/8.46 | (48) gt(n3, n0) = 0
% 30.73/8.46 | (49) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n3) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 30.73/8.46 | (50) minus(n5, n1) = all_0_17_17
% 30.73/8.46 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (succ(v0) = v1) | ~ (gt(v1, v0) = v2))
% 30.73/8.46 | (52) ! [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))))
% 30.73/8.46 | (53) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 30.73/8.46 | (54) ! [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))
% 30.73/8.46 | (55) gt(n4, n0) = 0
% 30.73/8.46 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 30.73/8.46 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (times(v3, v2) = v1) | ~ (times(v3, v2) = v0))
% 30.73/8.46 | (58) gt(n135300, n4) = 0
% 30.73/8.46 | (59) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n5) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 30.73/8.46 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 30.73/8.46 | (61) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 30.73/8.46 | (62) ! [v0] : ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 30.73/8.46 | (63) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 30.73/8.46 | (64) ? [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))
% 30.73/8.46 | (65) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n4) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 30.73/8.46 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 30.73/8.46 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 30.73/8.47 | (68) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 30.73/8.47 | (69) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 30.73/8.47 | (70) (all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_15_15) = all_0_4_4 & minus(all_0_9_9, all_0_15_15) = all_0_8_8 & sum(n0, all_0_17_17, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_16_16) = 0 & leq(n0, all_0_14_14) = 0) | (all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_9_9 = n1) & sum(n0, all_0_17_17, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_18_18) = 0 & leq(n0, all_0_14_14) = 0)
% 30.73/8.47 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 30.73/8.47 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (uniform_int_rnd(v1, v0) = v2) | ~ (leq(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 30.73/8.47 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 30.73/8.47 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 30.73/8.47 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 30.73/8.47 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 30.73/8.47 | (77) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 30.73/8.47 | (78) ! [v0] : (v0 = n1 | v0 = n0 | ~ (leq(v0, n1) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 30.73/8.47 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 30.73/8.47 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 30.73/8.47 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (divide(v3, v2) = v1) | ~ (divide(v3, v2) = v0))
% 30.73/8.47 | (82) gt(n1, n0) = 0
% 30.73/8.47 | (83) ! [v0] : ~ (gt(v0, v0) = 0)
% 30.73/8.47 | (84) ! [v0] : ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 30.73/8.47 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (succ(v1) = v2) | ~ (gt(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 30.73/8.47 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (a_select3(q, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sum(n0, all_0_17_17, v2) = v5 & leq(v0, all_0_18_18) = v4 & leq(n0, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = n1)))
% 30.73/8.47 | (87) ! [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))
% 30.73/8.47 | (88) gt(n135300, n1) = 0
% 30.73/8.47 | (89) gt(n5, n0) = 0
% 30.73/8.47 | (90) ! [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)))))
% 30.73/8.48 | (91) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 30.73/8.49 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 30.73/8.49 | (93) ? [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))))
% 30.73/8.49 | (94) succ(n1) = n2
% 30.73/8.49 | (95) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ (leq(v0, n2) = 0) | ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 30.73/8.49 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ (leq(v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 30.73/8.49 | (97) leq(pv10, all_0_19_19) = 0
% 30.73/8.49 | (98) a_select2(x, pv10) = all_0_15_15
% 30.73/8.49 | (99) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (geq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 30.73/8.49 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0))
% 30.73/8.49 | (101) gt(n4, n1) = 0
% 30.73/8.49 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 30.73/8.49 | (103) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 30.73/8.49 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 30.73/8.49 | (105) gt(n2, n1) = 0
% 30.73/8.49 | (106) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (gt(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 30.73/8.49 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sqrt(v2) = v1) | ~ (sqrt(v2) = v0))
% 30.73/8.49 | (108) gt(n135300, tptp_minus_1) = 0
% 30.73/8.49 | (109) succ(tptp_minus_1) = n0
% 30.73/8.49 | (110) ? [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))))
% 30.73/8.50 | (111) gt(n135300, n5) = 0
% 30.73/8.50 | (112) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 30.73/8.50 | (113) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 30.73/8.50 | (114) gt(n4, n3) = 0
% 30.73/8.50 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 30.73/8.50 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (gt(v0, v2) = v3) | ~ (gt(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 30.73/8.50 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 30.73/8.50 | (118) ~ (def = use)
% 30.73/8.50 | (119) minus(n135300, n1) = all_0_19_19
% 30.73/8.50 | (120) ! [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)))))
% 30.73/8.50 | (121) ? [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))))
% 30.73/8.50 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 30.73/8.50 | (123) ? [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))))
% 30.73/8.51 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 30.73/8.51 | (125) minus(n0, n1) = all_0_16_16
% 30.73/8.51 | (126) gt(n1, tptp_minus_1) = 0
% 30.73/8.51 | (127) leq(n0, pv10) = 0
% 30.73/8.51 | (128) gt(n0, tptp_minus_1) = 0
% 30.73/8.51 | (129) gt(n3, tptp_minus_1) = 0
% 30.73/8.51 | (130) ! [v0] : ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 30.73/8.51 | (131) succ(n0) = n1
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (83) with n1 yields:
% 30.73/8.51 | (132) ~ (gt(n1, n1) = 0)
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (83) with tptp_minus_1 yields:
% 30.73/8.51 | (133) ~ (gt(tptp_minus_1, tptp_minus_1) = 0)
% 30.73/8.51 |
% 30.73/8.51 | Using (126) and (132) yields:
% 30.73/8.51 | (134) ~ (n1 = tptp_minus_1)
% 30.73/8.51 |
% 30.73/8.51 | Using (128) and (133) yields:
% 30.73/8.51 | (135) ~ (tptp_minus_1 = n0)
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (91) with all_0_17_17, n5 and discharging atoms minus(n5, n1) = all_0_17_17, yields:
% 30.73/8.51 | (136) pred(n5) = all_0_17_17
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (91) with all_0_16_16, n0 and discharging atoms minus(n0, n1) = all_0_16_16, yields:
% 30.73/8.51 | (137) pred(n0) = all_0_16_16
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (113) with n5, n4 and discharging atoms succ(n4) = n5, yields:
% 30.73/8.51 | (138) pred(n5) = n4
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (113) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 30.73/8.51 | (139) pred(n0) = tptp_minus_1
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (130) with n135300, n0 and discharging atoms gt(n135300, n0) = 0, yields:
% 30.73/8.51 | (140) leq(n0, n135300) = 0
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (130) with n5, n0 and discharging atoms gt(n5, n0) = 0, yields:
% 30.73/8.51 | (141) leq(n0, n5) = 0
% 30.73/8.51 |
% 30.73/8.51 | Instantiating formula (130) with n4, n0 and discharging atoms gt(n4, n0) = 0, yields:
% 30.73/8.52 | (142) leq(n0, n4) = 0
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (130) with n3, n0 and discharging atoms gt(n3, n0) = 0, yields:
% 30.73/8.52 | (143) leq(n0, n3) = 0
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (130) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 30.73/8.52 | (144) leq(n0, n2) = 0
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (130) with n1, tptp_minus_1 and discharging atoms gt(n1, tptp_minus_1) = 0, yields:
% 30.73/8.52 | (145) leq(tptp_minus_1, n1) = 0
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (130) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 30.73/8.52 | (146) leq(n0, n1) = 0
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (35) with n5, n4, all_0_17_17 and discharging atoms pred(n5) = all_0_17_17, pred(n5) = n4, yields:
% 30.73/8.52 | (147) all_0_17_17 = n4
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (35) with n0, tptp_minus_1, all_0_16_16 and discharging atoms pred(n0) = all_0_16_16, pred(n0) = tptp_minus_1, yields:
% 30.73/8.52 | (148) all_0_16_16 = tptp_minus_1
% 30.73/8.52 |
% 30.73/8.52 | From (148) and (137) follows:
% 30.73/8.52 | (139) pred(n0) = tptp_minus_1
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (78) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n1) = 0, yields:
% 30.73/8.52 | (150) n1 = tptp_minus_1 | tptp_minus_1 = n0 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 30.73/8.52 |
% 30.73/8.52 +-Applying beta-rule and splitting (150), into two cases.
% 30.73/8.52 |-Branch one:
% 30.73/8.52 | (151) tptp_minus_1 = n0
% 30.73/8.52 |
% 30.73/8.52 | Equations (151) can reduce 135 to:
% 30.73/8.52 | (152) $false
% 30.73/8.52 |
% 30.73/8.52 |-The branch is then unsatisfiable
% 30.73/8.52 |-Branch two:
% 30.73/8.52 | (135) ~ (tptp_minus_1 = n0)
% 30.73/8.52 | (154) n1 = tptp_minus_1 | ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 30.73/8.52 |
% 30.73/8.52 +-Applying beta-rule and splitting (154), into two cases.
% 30.73/8.52 |-Branch one:
% 30.73/8.52 | (155) n1 = tptp_minus_1
% 30.73/8.52 |
% 30.73/8.52 | Equations (155) can reduce 134 to:
% 30.73/8.52 | (152) $false
% 30.73/8.52 |
% 30.73/8.52 |-The branch is then unsatisfiable
% 30.73/8.52 |-Branch two:
% 30.73/8.52 | (134) ~ (n1 = tptp_minus_1)
% 30.73/8.52 | (158) ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 30.73/8.52 |
% 30.73/8.52 | Instantiating (158) with all_97_0_38 yields:
% 30.73/8.52 | (159) ~ (all_97_0_38 = 0) & leq(n0, tptp_minus_1) = all_97_0_38
% 30.73/8.52 |
% 30.73/8.52 | Applying alpha-rule on (159) yields:
% 30.73/8.52 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.52 | (161) leq(n0, tptp_minus_1) = all_97_0_38
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (20) with all_97_0_38, tptp_minus_1, n0, n0 and discharging atoms pred(n0) = tptp_minus_1, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.52 | (162) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n135300, n0 and discharging atoms leq(n0, n135300) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.52 | (163) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n135300, tptp_minus_1) = v0)
% 30.73/8.52 |
% 30.73/8.52 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, pv10, n0 and discharging atoms leq(n0, pv10) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.52 | (164) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(pv10, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n5, n0 and discharging atoms leq(n0, n5) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.53 | (165) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n5, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n4, n0 and discharging atoms leq(n0, n4) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.53 | (166) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n3, n0 and discharging atoms leq(n0, n3) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.53 | (167) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n2, n0 and discharging atoms leq(n0, n2) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.53 | (168) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n2, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, n1, n0 and discharging atoms leq(n0, n1) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.53 | (169) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (169), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (173) ? [v0] : ( ~ (v0 = 0) & leq(n1, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (162), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (177) ? [v0] : ( ~ (v0 = 0) & gt(n0, n0) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (163), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (181) ? [v0] : ( ~ (v0 = 0) & leq(n135300, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (164), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (185) ? [v0] : ( ~ (v0 = 0) & leq(pv10, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (167), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (189) ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (165), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (193) ? [v0] : ( ~ (v0 = 0) & leq(n5, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (166), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (197) ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (168), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (170) all_97_0_38 = 0
% 30.73/8.53 |
% 30.73/8.53 | Equations (170) can reduce 160 to:
% 30.73/8.53 | (152) $false
% 30.73/8.53 |
% 30.73/8.53 |-The branch is then unsatisfiable
% 30.73/8.53 |-Branch two:
% 30.73/8.53 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.53 | (201) ? [v0] : ( ~ (v0 = 0) & leq(n2, tptp_minus_1) = v0)
% 30.73/8.53 |
% 30.73/8.53 +-Applying beta-rule and splitting (70), into two cases.
% 30.73/8.53 |-Branch one:
% 30.73/8.53 | (202) all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_15_15) = all_0_4_4 & minus(all_0_9_9, all_0_15_15) = all_0_8_8 & sum(n0, all_0_17_17, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_16_16) = 0 & leq(n0, all_0_14_14) = 0
% 30.73/8.54 |
% 30.73/8.54 | Applying alpha-rule on (202) yields:
% 30.73/8.54 | (203) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 30.73/8.54 | (204) sum(n0, all_0_17_17, all_0_2_2) = all_0_1_1
% 30.73/8.54 | (205) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 30.73/8.54 | (206) sqrt(all_0_7_7) = all_0_6_6
% 30.73/8.54 | (207) minus(all_0_5_5, all_0_15_15) = all_0_4_4
% 30.73/8.54 | (208) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 30.73/8.54 | (209) all_0_12_12 = 0
% 30.73/8.54 | (210) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 30.73/8.54 | (211) leq(n0, all_0_14_14) = 0
% 30.73/8.54 | (212) sqrt(all_0_3_3) = all_0_2_2
% 30.73/8.54 | (213) leq(all_0_14_14, all_0_16_16) = 0
% 30.73/8.54 | (214) ~ (all_0_0_0 = all_0_10_10)
% 30.73/8.54 | (215) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 30.73/8.54 | (216) minus(all_0_9_9, all_0_15_15) = all_0_8_8
% 30.73/8.54 | (217) all_0_11_11 = 0
% 30.73/8.54 | (218) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 30.73/8.54 |
% 30.73/8.54 | From (148) and (213) follows:
% 30.73/8.54 | (219) leq(all_0_14_14, tptp_minus_1) = 0
% 30.73/8.54 |
% 30.73/8.54 | Instantiating formula (38) with all_97_0_38, tptp_minus_1, all_0_14_14, n0 and discharging atoms leq(n0, all_0_14_14) = 0, leq(n0, tptp_minus_1) = all_97_0_38, yields:
% 30.73/8.54 | (220) all_97_0_38 = 0 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_14_14, tptp_minus_1) = v0)
% 30.73/8.54 |
% 30.73/8.54 +-Applying beta-rule and splitting (220), into two cases.
% 30.73/8.54 |-Branch one:
% 30.73/8.54 | (170) all_97_0_38 = 0
% 30.73/8.54 |
% 30.73/8.54 | Equations (170) can reduce 160 to:
% 30.73/8.54 | (152) $false
% 30.73/8.54 |
% 30.73/8.54 |-The branch is then unsatisfiable
% 30.73/8.54 |-Branch two:
% 30.73/8.54 | (160) ~ (all_97_0_38 = 0)
% 30.73/8.54 | (224) ? [v0] : ( ~ (v0 = 0) & leq(all_0_14_14, tptp_minus_1) = v0)
% 30.73/8.54 |
% 31.13/8.54 | Instantiating (224) with all_399_0_63 yields:
% 31.13/8.54 | (225) ~ (all_399_0_63 = 0) & leq(all_0_14_14, tptp_minus_1) = all_399_0_63
% 31.13/8.54 |
% 31.13/8.54 | Applying alpha-rule on (225) yields:
% 31.13/8.54 | (226) ~ (all_399_0_63 = 0)
% 31.13/8.54 | (227) leq(all_0_14_14, tptp_minus_1) = all_399_0_63
% 31.13/8.54 |
% 31.13/8.54 | Instantiating formula (60) with all_0_14_14, tptp_minus_1, all_399_0_63, 0 and discharging atoms leq(all_0_14_14, tptp_minus_1) = all_399_0_63, leq(all_0_14_14, tptp_minus_1) = 0, yields:
% 31.13/8.54 | (228) all_399_0_63 = 0
% 31.13/8.54 |
% 31.13/8.54 | Equations (228) can reduce 226 to:
% 31.13/8.54 | (152) $false
% 31.13/8.54 |
% 31.13/8.54 |-The branch is then unsatisfiable
% 31.13/8.54 |-Branch two:
% 31.13/8.54 | (230) all_0_11_11 = 0 & all_0_12_12 = 0 & ~ (all_0_9_9 = n1) & sum(n0, all_0_17_17, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_18_18) = 0 & leq(n0, all_0_14_14) = 0
% 31.13/8.54 |
% 31.13/8.54 | Applying alpha-rule on (230) yields:
% 31.13/8.54 | (231) ~ (all_0_9_9 = n1)
% 31.13/8.54 | (209) all_0_12_12 = 0
% 31.13/8.54 | (211) leq(n0, all_0_14_14) = 0
% 31.13/8.54 | (234) leq(all_0_14_14, all_0_18_18) = 0
% 31.13/8.54 | (235) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 31.13/8.54 | (217) all_0_11_11 = 0
% 31.13/8.54 | (237) sum(n0, all_0_17_17, all_0_10_10) = all_0_9_9
% 31.13/8.54 |
% 31.13/8.54 | From (147) and (237) follows:
% 31.13/8.54 | (238) sum(n0, n4, all_0_10_10) = all_0_9_9
% 31.13/8.54 |
% 31.13/8.54 | Instantiating formula (86) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 31.13/8.54 | (239) ? [v0] : ? [v1] : ? [v2] : (sum(n0, all_0_17_17, all_0_10_10) = v2 & leq(all_0_14_14, all_0_18_18) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = n1))
% 31.13/8.54 |
% 31.13/8.54 | Instantiating (239) with all_399_0_93, all_399_1_94, all_399_2_95 yields:
% 31.13/8.54 | (240) sum(n0, all_0_17_17, all_0_10_10) = all_399_0_93 & leq(all_0_14_14, all_0_18_18) = all_399_1_94 & leq(n0, all_0_14_14) = all_399_2_95 & ( ~ (all_399_1_94 = 0) | ~ (all_399_2_95 = 0) | all_399_0_93 = n1)
% 31.13/8.54 |
% 31.13/8.54 | Applying alpha-rule on (240) yields:
% 31.13/8.54 | (241) sum(n0, all_0_17_17, all_0_10_10) = all_399_0_93
% 31.13/8.54 | (242) leq(all_0_14_14, all_0_18_18) = all_399_1_94
% 31.13/8.54 | (243) leq(n0, all_0_14_14) = all_399_2_95
% 31.13/8.54 | (244) ~ (all_399_1_94 = 0) | ~ (all_399_2_95 = 0) | all_399_0_93 = n1
% 31.13/8.54 |
% 31.13/8.54 | From (147) and (241) follows:
% 31.13/8.54 | (245) sum(n0, n4, all_0_10_10) = all_399_0_93
% 31.13/8.54 |
% 31.13/8.55 | Instantiating formula (74) with n0, n4, all_0_10_10, all_399_0_93, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_399_0_93, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 31.13/8.55 | (246) all_399_0_93 = all_0_9_9
% 31.13/8.55 |
% 31.13/8.55 | Instantiating formula (60) with all_0_14_14, all_0_18_18, all_399_1_94, 0 and discharging atoms leq(all_0_14_14, all_0_18_18) = all_399_1_94, leq(all_0_14_14, all_0_18_18) = 0, yields:
% 31.13/8.55 | (247) all_399_1_94 = 0
% 31.13/8.55 |
% 31.13/8.55 | Instantiating formula (60) with n0, all_0_14_14, all_399_2_95, 0 and discharging atoms leq(n0, all_0_14_14) = all_399_2_95, leq(n0, all_0_14_14) = 0, yields:
% 31.13/8.55 | (248) all_399_2_95 = 0
% 31.13/8.55 |
% 31.13/8.55 +-Applying beta-rule and splitting (244), into two cases.
% 31.13/8.55 |-Branch one:
% 31.13/8.55 | (249) ~ (all_399_1_94 = 0)
% 31.13/8.55 |
% 31.13/8.55 | Equations (247) can reduce 249 to:
% 31.13/8.55 | (152) $false
% 31.13/8.55 |
% 31.13/8.55 |-The branch is then unsatisfiable
% 31.13/8.55 |-Branch two:
% 31.13/8.55 | (247) all_399_1_94 = 0
% 31.13/8.55 | (252) ~ (all_399_2_95 = 0) | all_399_0_93 = n1
% 31.13/8.55 |
% 31.13/8.55 +-Applying beta-rule and splitting (252), into two cases.
% 31.13/8.55 |-Branch one:
% 31.13/8.55 | (253) ~ (all_399_2_95 = 0)
% 31.13/8.55 |
% 31.13/8.55 | Equations (248) can reduce 253 to:
% 31.13/8.55 | (152) $false
% 31.13/8.55 |
% 31.13/8.55 |-The branch is then unsatisfiable
% 31.13/8.55 |-Branch two:
% 31.13/8.55 | (248) all_399_2_95 = 0
% 31.13/8.55 | (256) all_399_0_93 = n1
% 31.13/8.55 |
% 31.13/8.55 | Combining equations (246,256) yields a new equation:
% 31.13/8.55 | (257) all_0_9_9 = n1
% 31.13/8.55 |
% 31.13/8.55 | Simplifying 257 yields:
% 31.13/8.55 | (258) all_0_9_9 = n1
% 31.13/8.55 |
% 31.13/8.55 | Equations (258) can reduce 231 to:
% 31.13/8.55 | (152) $false
% 31.13/8.55 |
% 31.13/8.55 |-The branch is then unsatisfiable
% 31.13/8.55 % SZS output end Proof for theBenchmark
% 31.13/8.55
% 31.13/8.55 7949ms
%------------------------------------------------------------------------------