TSTP Solution File: SWV158+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 17:50:12 EDT 2022
% Result : Theorem 4.59s 1.71s
% Output : Proof 7.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 02:43:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.52/0.60 ____ _
% 0.52/0.60 ___ / __ \_____(_)___ ________ __________
% 0.52/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.60
% 0.52/0.60 A Theorem Prover for First-Order Logic
% 0.52/0.60 (ePrincess v.1.0)
% 0.52/0.60
% 0.52/0.60 (c) Philipp Rümmer, 2009-2015
% 0.52/0.60 (c) Peter Backeman, 2014-2015
% 0.52/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.60 Bug reports to peter@backeman.se
% 0.52/0.60
% 0.52/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.60
% 0.52/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.30/1.10 Prover 0: Preprocessing ...
% 4.19/1.61 Prover 0: Warning: ignoring some quantifiers
% 4.45/1.65 Prover 0: Constructing countermodel ...
% 4.59/1.71 Prover 0: proved (1061ms)
% 4.59/1.71
% 4.59/1.71 No countermodel exists, formula is valid
% 4.59/1.71 % SZS status Theorem for theBenchmark
% 4.59/1.71
% 4.59/1.71 Generating proof ... Warning: ignoring some quantifiers
% 7.07/2.25 found it (size 23)
% 7.07/2.25
% 7.07/2.25 % SZS output start Proof for theBenchmark
% 7.07/2.25 Assumed formulas after preprocessing and simplification:
% 7.07/2.25 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ( ~ (v39 = v29) & ~ (def = use) & sqrt(v11) = v12 & exp(v34) = v35 & exp(v23) = v24 & exp(v7) = v8 & times(v35, v25) = v36 & times(v30, v30) = v31 & times(v24, v25) = v26 & times(v21, v21) = v33 & times(v21, v21) = v22 & times(v18, v18) = v19 & times(v12, v21) = v37 & times(v12, v21) = v27 & times(v12, v5) = v13 & times(v8, v9) = v10 & times(v5, v5) = v6 & times(v2, v2) = v3 & times(n2, tptp_pi) = v11 & divide(v38, pv84) = v39 & divide(v36, v37) = v38 & divide(v32, v33) = v34 & divide(v31, tptp_minus_2) = v32 & divide(v28, pv84) = v29 & divide(v26, v27) = v28 & divide(v20, v22) = v23 & divide(v19, tptp_minus_2) = v20 & divide(v10, v13) = v14 & divide(v4, v6) = v7 & divide(v3, tptp_minus_2) = v4 & minus(v0, v17) = v30 & minus(v0, v17) = v18 & minus(v0, v1) = v2 & sum(n0, n4, v14) = pv84 & a_select2(rho, pv47) = v25 & a_select2(rho, tptp_sum_index) = v9 & a_select2(sigma, pv47) = v21 & a_select2(sigma, tptp_sum_index) = v5 & a_select2(mu, pv47) = v17 & a_select2(mu, tptp_sum_index) = v1 & a_select2(x, pv10) = v0 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & pred(pv47) = v15 & pred(pv10) = v16 & true & leq(pv47, pv47) & leq(pv47, n4) & leq(pv10, n135299) & leq(n0, pv47) & leq(n0, pv10) & gt(n135299, tptp_minus_2) & gt(n135299, n5) & gt(n135299, n4) & gt(n135299, n3) & gt(n135299, n2) & gt(n135299, n1) & gt(n135299, tptp_minus_1) & gt(n135299, n0) & gt(n5, tptp_minus_2) & gt(n5, n4) & gt(n5, n3) & gt(n5, n2) & gt(n5, n1) & gt(n5, tptp_minus_1) & gt(n5, n0) & gt(n4, tptp_minus_2) & gt(n4, n3) & gt(n4, n2) & gt(n4, n1) & gt(n4, tptp_minus_1) & gt(n4, n0) & gt(n3, tptp_minus_2) & gt(n3, n2) & gt(n3, n1) & gt(n3, tptp_minus_1) & gt(n3, n0) & gt(n2, tptp_minus_2) & gt(n2, n1) & gt(n2, tptp_minus_1) & gt(n2, n0) & gt(n1, tptp_minus_2) & gt(n1, tptp_minus_1) & gt(n1, n0) & gt(tptp_minus_1, tptp_minus_2) & gt(n0, tptp_minus_2) & gt(n0, tptp_minus_1) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ! [v49] : ! [v50] : ! [v51] : ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (tptp_mmul(v54, v55) = v56) | ~ (tptp_mmul(v46, v51) = v52) | ~ (tptp_mmul(v45, v52) = v53) | ~ (tptp_mmul(v44, v48) = v49) | ~ (tptp_mmul(v43, v49) = v50) | ~ (tptp_mmul(v42, v56) = v57) | ~ (tptp_madd(v50, v53) = v54) | ~ (tptp_madd(v41, v57) = v58) | ~ (trans(v45) = v51) | ~ (trans(v43) = v48) | ~ (trans(v42) = v55) | ~ (a_select3(v58, v60, v59) = v61) | ~ leq(v60, v47) | ~ leq(v59, v47) | ~ leq(n0, v60) | ~ leq(n0, v59) | ? [v62] : ? [v63] : ? [v64] : ? [v65] : ((v62 = v61 & a_select3(v58, v59, v60) = v61) | ( ~ (v65 = v64) & a_select3(v46, v63, v62) = v65 & a_select3(v46, v62, v63) = v64 & leq(v63, v47) & leq(v62, v47) & leq(n0, v63) & leq(n0, v62)) | ( ~ (v65 = v64) & a_select3(v44, v63, v62) = v65 & a_select3(v44, v62, v63) = v64 & leq(v63, v40) & leq(v62, v40) & leq(n0, v63) & leq(n0, v62)) | ( ~ (v65 = v64) & a_select3(v41, v63, v62) = v65 & a_select3(v41, v62, v63) = v64 & leq(v63, v47) & leq(v62, v47) & leq(n0, v63) & leq(n0, v62)))) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ! [v49] : ! [v50] : ! [v51] : ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (tptp_mmul(v54, v55) = v56) | ~ (tptp_mmul(v46, v51) = v52) | ~ (tptp_mmul(v45, v52) = v53) | ~ (tptp_mmul(v44, v48) = v49) | ~ (tptp_mmul(v43, v49) = v50) | ~ (tptp_mmul(v42, v56) = v57) | ~ (tptp_madd(v50, v53) = v54) | ~ (tptp_madd(v41, v57) = v58) | ~ (trans(v45) = v51) | ~ (trans(v43) = v48) | ~ (trans(v42) = v55) | ~ (a_select3(v58, v59, v60) = v61) | ~ leq(v60, v47) | ~ leq(v59, v47) | ~ leq(n0, v60) | ~ leq(n0, v59) | ? [v62] : ? [v63] : ? [v64] : ? [v65] : ((v62 = v61 & a_select3(v58, v60, v59) = v61) | ( ~ (v65 = v64) & a_select3(v46, v63, v62) = v65 & a_select3(v46, v62, v63) = v64 & leq(v63, v47) & leq(v62, v47) & leq(n0, v63) & leq(n0, v62)) | ( ~ (v65 = v64) & a_select3(v44, v63, v62) = v65 & a_select3(v44, v62, v63) = v64 & leq(v63, v40) & leq(v62, v40) & leq(n0, v63) & leq(n0, v62)) | ( ~ (v65 = v64) & a_select3(v41, v63, v62) = v65 & a_select3(v41, v62, v63) = v64 & leq(v63, v47) & leq(v62, v47) & leq(n0, v63) & leq(n0, v62)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ! [v49] : ! [v50] : (v50 = v46 | ~ (tptp_const_array2(v47, v48, v46) = v49) | ~ (a_select3(v49, v40, v43) = v50) | ~ (dim(v44, v45) = v48) | ~ (dim(v41, v42) = v47) | ~ leq(v44, v43) | ~ leq(v43, v45) | ~ leq(v41, v40) | ~ leq(v40, v42)) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ! [v49] : ( ~ (tptp_mmul(v42, v44) = v45) | ~ (tptp_mmul(v41, v45) = v46) | ~ (trans(v41) = v44) | ~ (a_select3(v46, v48, v47) = v49) | ~ leq(v48, v43) | ~ leq(v47, v43) | ~ leq(n0, v48) | ~ leq(n0, v47) | ? [v50] : ? [v51] : ? [v52] : ? [v53] : ((v50 = v49 & a_select3(v46, v47, v48) = v49) | ( ~ (v53 = v52) & a_select3(v42, v51, v50) = v53 & a_select3(v42, v50, v51) = v52 & leq(v51, v40) & leq(v50, v40) & leq(n0, v51) & leq(n0, v50)))) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ! [v49] : ( ~ (tptp_mmul(v42, v44) = v45) | ~ (tptp_mmul(v41, v45) = v46) | ~ (trans(v41) = v44) | ~ (a_select3(v46, v47, v48) = v49) | ~ leq(v48, v43) | ~ leq(v47, v43) | ~ leq(n0, v48) | ~ leq(n0, v47) | ? [v50] : ? [v51] : ? [v52] : ? [v53] : ((v50 = v49 & a_select3(v46, v48, v47) = v49) | ( ~ (v53 = v52) & a_select3(v42, v51, v50) = v53 & a_select3(v42, v50, v51) = v52 & leq(v51, v40) & leq(v50, v40) & leq(n0, v51) & leq(n0, v50)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ( ~ (tptp_mmul(v41, v43) = v44) | ~ (tptp_mmul(v40, v44) = v45) | ~ (trans(v40) = v43) | ~ (a_select3(v45, v47, v46) = v48) | ~ leq(v47, v42) | ~ leq(v46, v42) | ~ leq(n0, v47) | ~ leq(n0, v46) | ? [v49] : ? [v50] : ? [v51] : ? [v52] : ((v49 = v48 & a_select3(v45, v46, v47) = v48) | ( ~ (v52 = v51) & a_select3(v41, v50, v49) = v52 & a_select3(v41, v49, v50) = v51 & leq(v50, v42) & leq(v49, v42) & leq(n0, v50) & leq(n0, v49)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ! [v48] : ( ~ (tptp_mmul(v41, v43) = v44) | ~ (tptp_mmul(v40, v44) = v45) | ~ (trans(v40) = v43) | ~ (a_select3(v45, v46, v47) = v48) | ~ leq(v47, v42) | ~ leq(v46, v42) | ~ leq(n0, v47) | ~ leq(n0, v46) | ? [v49] : ? [v50] : ? [v51] : ? [v52] : ((v49 = v48 & a_select3(v45, v47, v46) = v48) | ( ~ (v52 = v51) & a_select3(v41, v50, v49) = v52 & a_select3(v41, v49, v50) = v51 & leq(v50, v42) & leq(v49, v42) & leq(n0, v50) & leq(n0, v49)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : (v47 = v45 | ~ (tptp_update3(v44, v42, v43, v45) = v46) | ~ (a_select3(v46, v40, v41) = v47) | ~ leq(v41, v43) | ~ leq(v40, v42) | ~ leq(n0, v41) | ~ leq(n0, v40) | ? [v48] : ? [v49] : ? [v50] : ( ~ (v50 = v45) & a_select3(v44, v48, v49) = v50 & leq(v49, v43) & leq(v48, v42) & leq(n0, v49) & leq(n0, v48))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ( ~ (tptp_update3(v40, v44, v44, v45) = v46) | ~ (a_select3(v46, v43, v42) = v47) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(v42, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ~ leq(n0, v42) | ? [v48] : ? [v49] : ? [v50] : ? [v51] : ((v48 = v47 & a_select3(v46, v42, v43) = v47) | ( ~ (v51 = v50) & a_select3(v40, v49, v48) = v51 & a_select3(v40, v48, v49) = v50 & leq(v49, v41) & leq(v48, v41) & leq(n0, v49) & leq(n0, v48)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : ( ~ (tptp_update3(v40, v44, v44, v45) = v46) | ~ (a_select3(v46, v42, v43) = v47) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(v42, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ~ leq(n0, v42) | ? [v48] : ? [v49] : ? [v50] : ? [v51] : ((v48 = v47 & a_select3(v46, v43, v42) = v47) | ( ~ (v51 = v50) & a_select3(v40, v49, v48) = v51 & a_select3(v40, v48, v49) = v50 & leq(v49, v41) & leq(v48, v41) & leq(n0, v49) & leq(n0, v48)))) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ! [v47] : (v47 = v40 | v43 = v41 | ~ (tptp_update3(v44, v41, v42, v45) = v46) | ~ (a_select3(v46, v43, v42) = v47) | ? [v48] : ( ~ (v48 = v40) & a_select3(v44, v43, v42) = v48)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : (v46 = v43 | ~ (dim(v41, v42) = v44) | ~ (tptp_const_array1(v44, v43) = v45) | ~ (a_select2(v45, v40) = v46) | ~ leq(v41, v40) | ~ leq(v40, v42)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ( ~ (tptp_msub(v40, v41) = v43) | ~ (a_select3(v43, v45, v44) = v46) | ~ leq(v45, v42) | ~ leq(v44, v42) | ~ leq(n0, v45) | ~ leq(n0, v44) | ? [v47] : ? [v48] : ? [v49] : ? [v50] : ((v47 = v46 & a_select3(v43, v44, v45) = v46) | ( ~ (v50 = v49) & a_select3(v41, v48, v47) = v50 & a_select3(v41, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)) | ( ~ (v50 = v49) & a_select3(v40, v48, v47) = v50 & a_select3(v40, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ( ~ (tptp_msub(v40, v41) = v43) | ~ (a_select3(v43, v44, v45) = v46) | ~ leq(v45, v42) | ~ leq(v44, v42) | ~ leq(n0, v45) | ~ leq(n0, v44) | ? [v47] : ? [v48] : ? [v49] : ? [v50] : ((v47 = v46 & a_select3(v43, v45, v44) = v46) | ( ~ (v50 = v49) & a_select3(v41, v48, v47) = v50 & a_select3(v41, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)) | ( ~ (v50 = v49) & a_select3(v40, v48, v47) = v50 & a_select3(v40, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ( ~ (tptp_madd(v40, v41) = v43) | ~ (a_select3(v43, v45, v44) = v46) | ~ leq(v45, v42) | ~ leq(v44, v42) | ~ leq(n0, v45) | ~ leq(n0, v44) | ? [v47] : ? [v48] : ? [v49] : ? [v50] : ((v47 = v46 & a_select3(v43, v44, v45) = v46) | ( ~ (v50 = v49) & a_select3(v41, v48, v47) = v50 & a_select3(v41, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)) | ( ~ (v50 = v49) & a_select3(v40, v48, v47) = v50 & a_select3(v40, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : ( ~ (tptp_madd(v40, v41) = v43) | ~ (a_select3(v43, v44, v45) = v46) | ~ leq(v45, v42) | ~ leq(v44, v42) | ~ leq(n0, v45) | ~ leq(n0, v44) | ? [v47] : ? [v48] : ? [v49] : ? [v50] : ((v47 = v46 & a_select3(v43, v45, v44) = v46) | ( ~ (v50 = v49) & a_select3(v41, v48, v47) = v50 & a_select3(v41, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)) | ( ~ (v50 = v49) & a_select3(v40, v48, v47) = v50 & a_select3(v40, v47, v48) = v49 & leq(v48, v42) & leq(v47, v42) & leq(n0, v48) & leq(n0, v47)))) & ? [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ! [v46] : (v46 = v40 | v42 = v41 | ~ (tptp_update2(v43, v41, v44) = v45) | ~ (a_select2(v45, v42) = v46) | ? [v47] : ( ~ (v47 = v40) & a_select2(v43, v42) = v47)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : (v45 = v43 | ~ (tptp_update2(v42, v41, v43) = v44) | ~ (a_select2(v44, v40) = v45) | ~ leq(v40, v41) | ~ leq(n0, v40) | ? [v46] : ? [v47] : ( ~ (v47 = v43) & a_select2(v42, v46) = v47 & leq(v46, v41) & leq(n0, v46))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : (v45 = v43 | ~ (tptp_update3(v40, v41, v42, v43) = v44) | ~ (a_select3(v44, v41, v42) = v45)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : (v41 = v40 | ~ (tptp_update3(v45, v44, v43, v42) = v41) | ~ (tptp_update3(v45, v44, v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ( ~ (inv(v40) = v42) | ~ (a_select3(v42, v44, v43) = v45) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ? [v46] : ? [v47] : ? [v48] : ? [v49] : ((v46 = v45 & a_select3(v42, v43, v44) = v45) | ( ~ (v49 = v48) & a_select3(v40, v47, v46) = v49 & a_select3(v40, v46, v47) = v48 & leq(v47, v41) & leq(v46, v41) & leq(n0, v47) & leq(n0, v46)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ( ~ (inv(v40) = v42) | ~ (a_select3(v42, v43, v44) = v45) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ? [v46] : ? [v47] : ? [v48] : ? [v49] : ((v46 = v45 & a_select3(v42, v44, v43) = v45) | ( ~ (v49 = v48) & a_select3(v40, v47, v46) = v49 & a_select3(v40, v46, v47) = v48 & leq(v47, v41) & leq(v46, v41) & leq(n0, v47) & leq(n0, v46)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ( ~ (trans(v40) = v42) | ~ (a_select3(v42, v44, v43) = v45) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ? [v46] : ? [v47] : ? [v48] : ? [v49] : ((v46 = v45 & a_select3(v42, v43, v44) = v45) | ( ~ (v49 = v48) & a_select3(v40, v47, v46) = v49 & a_select3(v40, v46, v47) = v48 & leq(v47, v41) & leq(v46, v41) & leq(n0, v47) & leq(n0, v46)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : ! [v45] : ( ~ (trans(v40) = v42) | ~ (a_select3(v42, v43, v44) = v45) | ~ leq(v44, v41) | ~ leq(v43, v41) | ~ leq(n0, v44) | ~ leq(n0, v43) | ? [v46] : ? [v47] : ? [v48] : ? [v49] : ((v46 = v45 & a_select3(v42, v44, v43) = v45) | ( ~ (v49 = v48) & a_select3(v40, v47, v46) = v49 & a_select3(v40, v46, v47) = v48 & leq(v47, v41) & leq(v46, v41) & leq(n0, v47) & leq(n0, v46)))) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : (v44 = v42 | ~ (tptp_update2(v40, v41, v42) = v43) | ~ (a_select2(v43, v41) = v44)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : (v41 = v40 | ~ (tptp_update2(v44, v43, v42) = v41) | ~ (tptp_update2(v44, v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : (v41 = v40 | ~ (sum(v44, v43, v42) = v41) | ~ (sum(v44, v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : (v41 = v40 | ~ (tptp_const_array2(v44, v43, v42) = v41) | ~ (tptp_const_array2(v44, v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ! [v44] : (v41 = v40 | ~ (a_select3(v44, v43, v42) = v41) | ~ (a_select3(v44, v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (times(v43, v42) = v41) | ~ (times(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (divide(v43, v42) = v41) | ~ (divide(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (minus(v43, v42) = v41) | ~ (minus(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (plus(v43, v42) = v41) | ~ (plus(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (tptp_mmul(v43, v42) = v41) | ~ (tptp_mmul(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (tptp_msub(v43, v42) = v41) | ~ (tptp_msub(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (tptp_madd(v43, v42) = v41) | ~ (tptp_madd(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (dim(v43, v42) = v41) | ~ (dim(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (tptp_const_array1(v43, v42) = v41) | ~ (tptp_const_array1(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (a_select2(v43, v42) = v41) | ~ (a_select2(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : (v41 = v40 | ~ (uniform_int_rnd(v43, v42) = v41) | ~ (uniform_int_rnd(v43, v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ( ~ (succ(v41) = v43) | ~ (succ(v40) = v42) | ~ leq(v42, v43) | leq(v40, v41)) & ! [v40] : ! [v41] : ! [v42] : ! [v43] : ( ~ (succ(v41) = v43) | ~ (succ(v40) = v42) | ~ leq(v40, v41) | leq(v42, v43)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (sqrt(v42) = v41) | ~ (sqrt(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (exp(v42) = v41) | ~ (exp(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (inv(v42) = v41) | ~ (inv(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (trans(v42) = v41) | ~ (trans(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (succ(v42) = v41) | ~ (succ(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : (v41 = v40 | ~ (pred(v42) = v41) | ~ (pred(v42) = v40)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (minus(v40, v41) = v42) | ~ leq(v42, v40) | leq(n0, v41)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (uniform_int_rnd(v41, v40) = v42) | ~ leq(n0, v40) | leq(v42, v40)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (uniform_int_rnd(v41, v40) = v42) | ~ leq(n0, v40) | leq(n0, v42)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (succ(v41) = v42) | ~ leq(v40, v41) | leq(v40, v42)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (succ(v41) = v42) | ~ leq(v40, v41) | gt(v42, v40)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (succ(v41) = v42) | ~ gt(v42, v40) | leq(v40, v41)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (succ(v40) = v42) | ~ leq(v42, v41) | gt(v41, v40)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (pred(v41) = v42) | ~ leq(v40, v42) | gt(v41, v40)) & ! [v40] : ! [v41] : ! [v42] : ( ~ (pred(v41) = v42) | ~ gt(v41, v40) | leq(v40, v42)) & ! [v40] : ! [v41] : ! [v42] : ( ~ leq(v41, v42) | ~ leq(v40, v41) | leq(v40, v42)) & ! [v40] : ! [v41] : ! [v42] : ( ~ gt(v41, v42) | ~ gt(v40, v41) | gt(v40, v42)) & ! [v40] : ! [v41] : (v41 = v40 | ~ leq(v40, v41) | gt(v41, v40)) & ! [v40] : ! [v41] : (v41 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v40) = v41)) & ! [v40] : ! [v41] : (v41 = n0 | ~ (sum(n0, tptp_minus_1, v40) = v41)) & ! [v40] : ! [v41] : ( ~ (minus(v40, n1) = v41) | pred(v40) = v41) & ! [v40] : ! [v41] : ( ~ (plus(v40, n5) = v41) | ? [v42] : ? [v43] : ? [v44] : ? [v45] : (succ(v45) = v41 & succ(v44) = v45 & succ(v43) = v44 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(v40, n4) = v41) | ? [v42] : ? [v43] : ? [v44] : (succ(v44) = v41 & succ(v43) = v44 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(v40, n3) = v41) | ? [v42] : ? [v43] : (succ(v43) = v41 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(v40, n2) = v41) | ? [v42] : (succ(v42) = v41 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(v40, n1) = v41) | succ(v40) = v41) & ! [v40] : ! [v41] : ( ~ (plus(n5, v40) = v41) | ? [v42] : ? [v43] : ? [v44] : ? [v45] : (succ(v45) = v41 & succ(v44) = v45 & succ(v43) = v44 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(n4, v40) = v41) | ? [v42] : ? [v43] : ? [v44] : (succ(v44) = v41 & succ(v43) = v44 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(n3, v40) = v41) | ? [v42] : ? [v43] : (succ(v43) = v41 & succ(v42) = v43 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(n2, v40) = v41) | ? [v42] : (succ(v42) = v41 & succ(v40) = v42)) & ! [v40] : ! [v41] : ( ~ (plus(n1, v40) = v41) | succ(v40) = v41) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | plus(v40, n1) = v41) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | plus(n1, v40) = v41) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | pred(v41) = v40) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | gt(v41, v40)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : ? [v44] : ? [v45] : (plus(v40, n5) = v42 & succ(v45) = v42 & succ(v44) = v45 & succ(v43) = v44 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : ? [v44] : ? [v45] : (plus(n5, v40) = v42 & succ(v45) = v42 & succ(v44) = v45 & succ(v43) = v44 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : ? [v44] : (plus(v40, n4) = v42 & succ(v44) = v42 & succ(v43) = v44 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : ? [v44] : (plus(n4, v40) = v42 & succ(v44) = v42 & succ(v43) = v44 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : (plus(v40, n3) = v42 & succ(v43) = v42 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : ? [v43] : (plus(n3, v40) = v42 & succ(v43) = v42 & succ(v41) = v43)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : (plus(v40, n2) = v42 & succ(v41) = v42)) & ! [v40] : ! [v41] : ( ~ (succ(v40) = v41) | ? [v42] : (plus(n2, v40) = v42 & succ(v41) = v42)) & ! [v40] : ! [v41] : ( ~ (pred(v40) = v41) | minus(v40, n1) = v41) & ! [v40] : ! [v41] : ( ~ (pred(v40) = v41) | succ(v41) = v40) & ! [v40] : ! [v41] : ( ~ geq(v40, v41) | leq(v41, v40)) & ! [v40] : ! [v41] : ( ~ lt(v40, v41) | gt(v41, v40)) & ! [v40] : ! [v41] : ( ~ leq(v41, v40) | geq(v40, v41)) & ! [v40] : ! [v41] : ( ~ gt(v41, v40) | lt(v40, v41)) & ! [v40] : ! [v41] : ( ~ gt(v41, v40) | leq(v40, v41)) & ! [v40] : (v40 = n5 | v40 = n4 | v40 = n3 | v40 = n2 | v40 = n1 | v40 = n0 | ~ leq(v40, n5) | ~ leq(n0, v40)) & ! [v40] : (v40 = n4 | v40 = n3 | v40 = n2 | v40 = n1 | v40 = n0 | ~ leq(v40, n4) | ~ leq(n0, v40)) & ! [v40] : (v40 = n3 | v40 = n2 | v40 = n1 | v40 = n0 | ~ leq(v40, n3) | ~ leq(n0, v40)) & ! [v40] : (v40 = n2 | v40 = n1 | v40 = n0 | ~ leq(v40, n2) | ~ leq(n0, v40)) & ! [v40] : (v40 = n1 | v40 = n0 | ~ leq(v40, n1) | ~ leq(n0, v40)) & ! [v40] : (v40 = n0 | ~ leq(v40, n0) | ~ leq(n0, v40)) & ! [v40] : ( ~ leq(v40, v16) | ~ leq(n0, v40) | ? [v41] : (sum(n0, n4, v41) = n1 & a_select3(q, v40, tptp_sum_index) = v41)) & ! [v40] : ( ~ leq(v40, v15) | ~ leq(n0, v40) | ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : (exp(v48) = v49 & times(v49, v50) = v51 & times(v46, v46) = v47 & times(v43, v43) = v44 & times(v12, v46) = v52 & divide(v53, pv84) = v41 & divide(v51, v52) = v53 & divide(v45, v47) = v48 & divide(v44, tptp_minus_2) = v45 & minus(v0, v42) = v43 & a_select3(q, pv10, v40) = v41 & a_select2(rho, v40) = v50 & a_select2(sigma, v40) = v46 & a_select2(mu, v40) = v42)) & ! [v40] : ~ gt(v40, v40) & ? [v40] : ? [v41] : (v41 = v40 | gt(v41, v40) | gt(v40, v41)) & ? [v40] : leq(v40, v40))
% 7.35/2.33 | 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, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39 yields:
% 7.35/2.33 | (1) ~ (all_0_0_0 = all_0_10_10) & ~ (def = use) & sqrt(all_0_28_28) = all_0_27_27 & exp(all_0_5_5) = all_0_4_4 & exp(all_0_16_16) = all_0_15_15 & exp(all_0_32_32) = all_0_31_31 & times(all_0_4_4, all_0_14_14) = all_0_3_3 & times(all_0_9_9, all_0_9_9) = all_0_8_8 & times(all_0_15_15, all_0_14_14) = all_0_13_13 & times(all_0_18_18, all_0_18_18) = all_0_6_6 & times(all_0_18_18, all_0_18_18) = all_0_17_17 & times(all_0_21_21, all_0_21_21) = all_0_20_20 & times(all_0_27_27, all_0_18_18) = all_0_2_2 & times(all_0_27_27, all_0_18_18) = all_0_12_12 & times(all_0_27_27, all_0_34_34) = all_0_26_26 & times(all_0_31_31, all_0_30_30) = all_0_29_29 & times(all_0_34_34, all_0_34_34) = all_0_33_33 & times(all_0_37_37, all_0_37_37) = all_0_36_36 & times(n2, tptp_pi) = all_0_28_28 & divide(all_0_1_1, pv84) = all_0_0_0 & divide(all_0_3_3, all_0_2_2) = all_0_1_1 & divide(all_0_7_7, all_0_6_6) = all_0_5_5 & divide(all_0_8_8, tptp_minus_2) = all_0_7_7 & divide(all_0_11_11, pv84) = all_0_10_10 & divide(all_0_13_13, all_0_12_12) = all_0_11_11 & divide(all_0_19_19, all_0_17_17) = all_0_16_16 & divide(all_0_20_20, tptp_minus_2) = all_0_19_19 & divide(all_0_29_29, all_0_26_26) = all_0_25_25 & divide(all_0_35_35, all_0_33_33) = all_0_32_32 & divide(all_0_36_36, tptp_minus_2) = all_0_35_35 & minus(all_0_39_39, all_0_22_22) = all_0_9_9 & minus(all_0_39_39, all_0_22_22) = all_0_21_21 & minus(all_0_39_39, all_0_38_38) = all_0_37_37 & sum(n0, n4, all_0_25_25) = pv84 & a_select2(rho, pv47) = all_0_14_14 & a_select2(rho, tptp_sum_index) = all_0_30_30 & a_select2(sigma, pv47) = all_0_18_18 & a_select2(sigma, tptp_sum_index) = all_0_34_34 & a_select2(mu, pv47) = all_0_22_22 & a_select2(mu, tptp_sum_index) = all_0_38_38 & a_select2(x, pv10) = all_0_39_39 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & pred(pv47) = all_0_24_24 & pred(pv10) = all_0_23_23 & true & leq(pv47, pv47) & leq(pv47, n4) & leq(pv10, n135299) & leq(n0, pv47) & leq(n0, pv10) & gt(n135299, tptp_minus_2) & gt(n135299, n5) & gt(n135299, n4) & gt(n135299, n3) & gt(n135299, n2) & gt(n135299, n1) & gt(n135299, tptp_minus_1) & gt(n135299, n0) & gt(n5, tptp_minus_2) & gt(n5, n4) & gt(n5, n3) & gt(n5, n2) & gt(n5, n1) & gt(n5, tptp_minus_1) & gt(n5, n0) & gt(n4, tptp_minus_2) & gt(n4, n3) & gt(n4, n2) & gt(n4, n1) & gt(n4, tptp_minus_1) & gt(n4, n0) & gt(n3, tptp_minus_2) & gt(n3, n2) & gt(n3, n1) & gt(n3, tptp_minus_1) & gt(n3, n0) & gt(n2, tptp_minus_2) & gt(n2, n1) & gt(n2, tptp_minus_1) & gt(n2, n0) & gt(n1, tptp_minus_2) & gt(n1, tptp_minus_1) & gt(n1, n0) & gt(tptp_minus_1, tptp_minus_2) & gt(n0, tptp_minus_2) & gt(n0, tptp_minus_1) & ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v20, v19) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)))) & ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)))) & ! [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) | ~ leq(v4, v3) | ~ leq(v3, v5) | ~ leq(v1, v0) | ~ leq(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v8, v7) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v7, v6) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ~ leq(v1, v3) | ~ leq(v0, v2) | ~ leq(n0, v1) | ~ leq(n0, v0) | ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v5) & a_select3(v4, v8, v9) = v10 & leq(v9, v3) & leq(v8, v2) & leq(n0, v9) & leq(n0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8)))) & ? [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] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ~ leq(v1, v0) | ~ leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)))) & ? [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] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ~ leq(v0, v1) | ~ leq(n0, v0) | ? [v6] : ? [v7] : ( ~ (v7 = v3) & a_select2(v2, v6) = v7 & leq(v6, v1) & leq(n0, v6))) & ! [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(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4)) & ! [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] : (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] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v0, v1) | leq(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sqrt(v2) = v1) | ~ (sqrt(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (exp(v2) = v1) | ~ (exp(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) | leq(n0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(n0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | gt(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ gt(v2, v0) | leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ leq(v2, v1) | gt(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ leq(v0, v2) | gt(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ gt(v1, v0) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | gt(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | gt(v1, v0)) & ! [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] : ( ~ (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) | plus(v0, n1) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(n1, v0) = v1) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | gt(v1, v0)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(v0, n5) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(n5, v0) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(v0, n2) = v2 & succ(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(n2, v0) = v2 & succ(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | minus(v0, n1) = v1) & ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) & ! [v0] : ! [v1] : ( ~ geq(v0, v1) | leq(v1, v0)) & ! [v0] : ! [v1] : ( ~ lt(v0, v1) | gt(v1, v0)) & ! [v0] : ! [v1] : ( ~ leq(v1, v0) | geq(v0, v1)) & ! [v0] : ! [v1] : ( ~ gt(v1, v0) | lt(v0, v1)) & ! [v0] : ! [v1] : ( ~ gt(v1, v0) | leq(v0, v1)) & ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n5) | ~ leq(n0, v0)) & ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n4) | ~ leq(n0, v0)) & ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n3) | ~ leq(n0, v0)) & ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n2) | ~ leq(n0, v0)) & ! [v0] : (v0 = n1 | v0 = n0 | ~ leq(v0, n1) | ~ leq(n0, v0)) & ! [v0] : (v0 = n0 | ~ leq(v0, n0) | ~ leq(n0, v0)) & ! [v0] : ( ~ leq(v0, all_0_23_23) | ~ leq(n0, v0) | ? [v1] : (sum(n0, n4, v1) = n1 & a_select3(q, v0, tptp_sum_index) = v1)) & ! [v0] : ( ~ leq(v0, all_0_24_24) | ~ leq(n0, v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (exp(v8) = v9 & times(v9, v10) = v11 & times(v6, v6) = v7 & times(v3, v3) = v4 & times(all_0_27_27, v6) = v12 & divide(v13, pv84) = v1 & divide(v11, v12) = v13 & divide(v5, v7) = v8 & divide(v4, tptp_minus_2) = v5 & minus(all_0_39_39, v2) = v3 & a_select3(q, pv10, v0) = v1 & a_select2(rho, v0) = v10 & a_select2(sigma, v0) = v6 & a_select2(mu, v0) = v2)) & ! [v0] : ~ gt(v0, v0) & ? [v0] : ? [v1] : (v1 = v0 | gt(v1, v0) | gt(v0, v1)) & ? [v0] : leq(v0, v0)
% 7.72/2.37 |
% 7.72/2.37 | Applying alpha-rule on (1) yields:
% 7.72/2.37 | (2) divide(all_0_29_29, all_0_26_26) = all_0_25_25
% 7.72/2.37 | (3) times(all_0_21_21, all_0_21_21) = all_0_20_20
% 7.72/2.37 | (4) leq(n0, pv10)
% 7.72/2.37 | (5) ! [v0] : ( ~ leq(v0, all_0_24_24) | ~ leq(n0, v0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (exp(v8) = v9 & times(v9, v10) = v11 & times(v6, v6) = v7 & times(v3, v3) = v4 & times(all_0_27_27, v6) = v12 & divide(v13, pv84) = v1 & divide(v11, v12) = v13 & divide(v5, v7) = v8 & divide(v4, tptp_minus_2) = v5 & minus(all_0_39_39, v2) = v3 & a_select3(q, pv10, v0) = v1 & a_select2(rho, v0) = v10 & a_select2(sigma, v0) = v6 & a_select2(mu, v0) = v2))
% 7.72/2.37 | (6) divide(all_0_1_1, pv84) = all_0_0_0
% 7.72/2.37 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (tptp_update2(v0, v1, v2) = v3) | ~ (a_select2(v3, v1) = v4))
% 7.72/2.37 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (divide(v3, v2) = v1) | ~ (divide(v3, v2) = v0))
% 7.72/2.37 | (9) ! [v0] : ! [v1] : ( ~ (plus(v0, n2) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 7.72/2.37 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update2(v2, v1, v3) = v4) | ~ (a_select2(v4, v0) = v5) | ~ leq(v0, v1) | ~ leq(n0, v0) | ? [v6] : ? [v7] : ( ~ (v7 = v3) & a_select2(v2, v6) = v7 & leq(v6, v1) & leq(n0, v6)))
% 7.72/2.37 | (11) exp(all_0_5_5) = all_0_4_4
% 7.72/2.37 | (12) ~ (def = use)
% 7.72/2.37 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(n0, v2))
% 7.72/2.37 | (14) ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n3) | ~ leq(n0, v0))
% 7.72/2.37 | (15) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(n5, v0) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3))
% 7.72/2.37 | (16) gt(n5, n0)
% 7.72/2.37 | (17) gt(n4, n0)
% 7.72/2.37 | (18) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(n1, v0) = v1)
% 7.72/2.37 | (19) ! [v0] : ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 7.72/2.37 | (20) gt(n3, tptp_minus_1)
% 7.72/2.37 | (21) a_select2(rho, pv47) = all_0_14_14
% 7.72/2.37 | (22) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v7, v8) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v8, v7) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10))))
% 7.72/2.37 | (23) succ(n1) = n2
% 7.72/2.37 | (24) gt(n4, n2)
% 7.72/2.37 | (25) ! [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))
% 7.72/2.37 | (26) times(all_0_34_34, all_0_34_34) = all_0_33_33
% 7.72/2.37 | (27) ! [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) | ~ leq(v4, v3) | ~ leq(v3, v5) | ~ leq(v1, v0) | ~ leq(v0, v2))
% 7.72/2.37 | (28) succ(n4) = n5
% 7.72/2.37 | (29) ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n2) | ~ leq(n0, v0))
% 7.72/2.37 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (exp(v2) = v1) | ~ (exp(v2) = v0))
% 7.72/2.37 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (dim(v1, v2) = v4) | ~ (tptp_const_array1(v4, v3) = v5) | ~ (a_select2(v5, v0) = v6) | ~ leq(v1, v0) | ~ leq(v0, v2))
% 7.72/2.37 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (tptp_update3(v0, v1, v2, v3) = v4) | ~ (a_select3(v4, v1, v2) = v5))
% 7.72/2.37 | (33) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (plus(v0, n5) = v2 & succ(v5) = v2 & succ(v4) = v5 & succ(v3) = v4 & succ(v1) = v3))
% 7.72/2.37 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 7.72/2.38 | (35) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(n2, v0) = v2 & succ(v1) = v2))
% 7.72/2.38 | (36) ! [v0] : ! [v1] : ( ~ leq(v1, v0) | geq(v0, v1))
% 7.72/2.38 | (37) ! [v0] : ! [v1] : ( ~ geq(v0, v1) | leq(v1, v0))
% 7.72/2.38 | (38) true
% 7.72/2.38 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ gt(v2, v0) | leq(v0, v1))
% 7.72/2.38 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | gt(v2, v0))
% 7.72/2.38 | (41) ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n5) | ~ leq(n0, v0))
% 7.72/2.38 | (42) gt(n4, n3)
% 7.72/2.38 | (43) gt(n4, tptp_minus_2)
% 7.72/2.38 | (44) ! [v0] : ! [v1] : (v1 = v0 | ~ leq(v0, v1) | gt(v1, v0))
% 7.72/2.38 | (45) gt(n3, tptp_minus_2)
% 7.72/2.38 | (46) ? [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))
% 7.72/2.38 | (47) gt(n1, tptp_minus_2)
% 7.72/2.38 | (48) minus(all_0_39_39, all_0_22_22) = all_0_9_9
% 7.72/2.38 | (49) sum(n0, n4, all_0_25_25) = pv84
% 7.72/2.38 | (50) ! [v0] : ~ gt(v0, v0)
% 7.72/2.38 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (trans(v2) = v1) | ~ (trans(v2) = v0))
% 7.72/2.38 | (52) gt(n135299, n5)
% 7.72/2.38 | (53) divide(all_0_11_11, pv84) = all_0_10_10
% 7.72/2.38 | (54) gt(n5, n1)
% 7.72/2.38 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 7.72/2.38 | (56) a_select2(sigma, tptp_sum_index) = all_0_34_34
% 7.72/2.38 | (57) gt(n5, n3)
% 7.72/2.38 | (58) ? [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))
% 7.72/2.38 | (59) a_select2(x, pv10) = all_0_39_39
% 7.72/2.38 | (60) divide(all_0_20_20, tptp_minus_2) = all_0_19_19
% 7.72/2.38 | (61) pred(pv10) = all_0_23_23
% 7.72/2.38 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2) = v0))
% 7.72/2.38 | (63) times(all_0_15_15, all_0_14_14) = all_0_13_13
% 7.72/2.38 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) = v1) | ~ (tptp_update2(v4, v3, v2) = v0))
% 7.72/2.38 | (65) ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v20, v19) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v19, v20) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22))))
% 7.72/2.38 | (66) divide(all_0_8_8, tptp_minus_2) = all_0_7_7
% 7.72/2.38 | (67) gt(tptp_minus_1, tptp_minus_2)
% 7.72/2.38 | (68) divide(all_0_35_35, all_0_33_33) = all_0_32_32
% 7.72/2.38 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) | ~ (sum(v4, v3, v2) = v0))
% 7.72/2.38 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v3, v2) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v2, v3) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8))))
% 7.72/2.38 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0))
% 7.72/2.39 | (72) gt(n2, tptp_minus_2)
% 7.72/2.39 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 7.72/2.39 | (74) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(v0, n3) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 7.72/2.39 | (75) gt(n5, n4)
% 7.72/2.39 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (tptp_update3(v4, v2, v3, v5) = v6) | ~ (a_select3(v6, v0, v1) = v7) | ~ leq(v1, v3) | ~ leq(v0, v2) | ~ leq(n0, v1) | ~ leq(n0, v0) | ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = v5) & a_select3(v4, v8, v9) = v10 & leq(v9, v3) & leq(v8, v2) & leq(n0, v9) & leq(n0, v8)))
% 7.72/2.39 | (77) gt(n3, n2)
% 7.72/2.39 | (78) gt(n1, tptp_minus_1)
% 7.72/2.39 | (79) gt(n135299, n3)
% 7.72/2.39 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3, v2) = v0))
% 7.72/2.39 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ gt(v1, v0) | leq(v0, v2))
% 7.72/2.39 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (pred(v1) = v2) | ~ leq(v0, v2) | gt(v1, v0))
% 7.72/2.39 | (83) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (tptp_mmul(v2, v4) = v5) | ~ (tptp_mmul(v1, v5) = v6) | ~ (trans(v1) = v4) | ~ (a_select3(v6, v8, v7) = v9) | ~ leq(v8, v3) | ~ leq(v7, v3) | ~ leq(n0, v8) | ~ leq(n0, v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v10 = v9 & a_select3(v6, v7, v8) = v9) | ( ~ (v13 = v12) & a_select3(v2, v11, v10) = v13 & a_select3(v2, v10, v11) = v12 & leq(v11, v0) & leq(v10, v0) & leq(n0, v11) & leq(n0, v10))))
% 7.72/2.39 | (84) gt(n0, tptp_minus_2)
% 7.72/2.39 | (85) ? [v0] : ? [v1] : (v1 = v0 | gt(v1, v0) | gt(v0, v1))
% 7.72/2.39 | (86) times(all_0_37_37, all_0_37_37) = all_0_36_36
% 7.72/2.39 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ leq(v1, v2) | ~ leq(v0, v1) | leq(v0, v2))
% 7.72/2.39 | (88) sqrt(all_0_28_28) = all_0_27_27
% 7.72/2.39 | (89) gt(n135299, tptp_minus_1)
% 7.72/2.39 | (90) ~ (all_0_0_0 = all_0_10_10)
% 7.72/2.39 | (91) gt(n3, n1)
% 7.72/2.39 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v6, v7) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v7, v6) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9))))
% 7.72/2.39 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (tptp_mmul(v1, v3) = v4) | ~ (tptp_mmul(v0, v4) = v5) | ~ (trans(v0) = v3) | ~ (a_select3(v5, v7, v6) = v8) | ~ leq(v7, v2) | ~ leq(v6, v2) | ~ leq(n0, v7) | ~ leq(n0, v6) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v9 = v8 & a_select3(v5, v6, v7) = v8) | ( ~ (v12 = v11) & a_select3(v1, v10, v9) = v12 & a_select3(v1, v9, v10) = v11 & leq(v10, v2) & leq(v9, v2) & leq(n0, v10) & leq(n0, v9))))
% 7.72/2.39 | (94) ! [v0] : ! [v1] : ( ~ (plus(n2, v0) = v1) | ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 7.72/2.39 | (95) gt(n2, tptp_minus_1)
% 7.72/2.39 | (96) times(all_0_27_27, all_0_34_34) = all_0_26_26
% 7.72/2.39 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3, v2) = v0))
% 7.72/2.39 | (98) divide(all_0_36_36, tptp_minus_2) = all_0_35_35
% 7.72/2.39 | (99) ! [v0] : (v0 = n1 | v0 = n0 | ~ leq(v0, n1) | ~ leq(n0, v0))
% 7.72/2.39 | (100) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | lt(v0, v1))
% 7.72/2.39 | (101) ! [v0] : ! [v1] : ( ~ lt(v0, v1) | gt(v1, v0))
% 7.72/2.39 | (102) gt(n4, n1)
% 7.72/2.39 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v0) = v2) | ~ leq(v2, v1) | gt(v1, v0))
% 7.72/2.39 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (inv(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 7.72/2.39 | (105) gt(n2, n1)
% 7.72/2.39 | (106) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(n4, v0) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 7.72/2.39 | (107) gt(n135299, tptp_minus_2)
% 7.72/2.39 | (108) ? [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(v6, v11) = v12) | ~ (tptp_mmul(v5, v12) = v13) | ~ (tptp_mmul(v4, v8) = v9) | ~ (tptp_mmul(v3, v9) = v10) | ~ (tptp_mmul(v2, v16) = v17) | ~ (tptp_madd(v10, v13) = v14) | ~ (tptp_madd(v1, v17) = v18) | ~ (trans(v5) = v11) | ~ (trans(v3) = v8) | ~ (trans(v2) = v15) | ~ (a_select3(v18, v19, v20) = v21) | ~ leq(v20, v7) | ~ leq(v19, v7) | ~ leq(n0, v20) | ~ leq(n0, v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v22 = v21 & a_select3(v18, v20, v19) = v21) | ( ~ (v25 = v24) & a_select3(v6, v23, v22) = v25 & a_select3(v6, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v4, v23, v22) = v25 & a_select3(v4, v22, v23) = v24 & leq(v23, v0) & leq(v22, v0) & leq(n0, v23) & leq(n0, v22)) | ( ~ (v25 = v24) & a_select3(v1, v23, v22) = v25 & a_select3(v1, v22, v23) = v24 & leq(v23, v7) & leq(v22, v7) & leq(n0, v23) & leq(n0, v22))))
% 7.72/2.40 | (109) ? [v0] : leq(v0, v0)
% 7.72/2.40 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~ (dim(v3, v2) = v0))
% 7.72/2.40 | (111) a_select2(mu, tptp_sum_index) = all_0_38_38
% 7.72/2.40 | (112) gt(n5, tptp_minus_2)
% 7.72/2.40 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v4, v3) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v3, v4) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 7.72/2.40 | (114) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : (plus(v0, n2) = v2 & succ(v1) = v2))
% 7.72/2.40 | (115) ! [v0] : ! [v1] : ( ~ (plus(v0, n3) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 7.72/2.40 | (116) a_select2(mu, pv47) = all_0_22_22
% 7.72/2.40 | (117) ! [v0] : ! [v1] : ( ~ (plus(n3, v0) = v1) | ? [v2] : ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 7.72/2.40 | (118) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | gt(v1, v0))
% 7.72/2.40 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v0, v1) | leq(v2, v3))
% 7.72/2.40 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (succ(v1) = v3) | ~ (succ(v0) = v2) | ~ leq(v2, v3) | leq(v0, v1))
% 7.72/2.40 | (121) leq(pv10, n135299)
% 7.72/2.40 | (122) leq(n0, pv47)
% 7.72/2.40 | (123) times(all_0_27_27, all_0_18_18) = all_0_12_12
% 7.72/2.40 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_msub(v0, v1) = v3) | ~ (a_select3(v3, v5, v4) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v4, v5) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 7.72/2.40 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (succ(v2) = v1) | ~ (succ(v2) = v0))
% 7.72/2.40 | (126) times(all_0_9_9, all_0_9_9) = all_0_8_8
% 7.72/2.40 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (times(v3, v2) = v1) | ~ (times(v3, v2) = v0))
% 7.72/2.40 | (128) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | plus(v0, n1) = v1)
% 7.72/2.40 | (129) ! [v0] : ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 7.72/2.40 | (130) ! [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))
% 7.72/2.40 | (131) ! [v0] : ! [v1] : ( ~ (plus(v0, n4) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 7.72/2.40 | (132) exp(all_0_16_16) = all_0_15_15
% 7.72/2.40 | (133) gt(n5, n2)
% 7.72/2.40 | (134) succ(n2) = n3
% 7.72/2.40 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) | ~ (tptp_const_array2(v4, v3, v2) = v0))
% 7.72/2.40 | (136) ! [v0] : ! [v1] : ! [v2] : ( ~ gt(v1, v2) | ~ gt(v0, v1) | gt(v0, v2))
% 7.72/2.40 | (137) exp(all_0_32_32) = all_0_31_31
% 7.72/2.40 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sqrt(v2) = v1) | ~ (sqrt(v2) = v0))
% 7.72/2.40 | (139) leq(pv47, pv47)
% 7.72/2.40 | (140) divide(all_0_13_13, all_0_12_12) = all_0_11_11
% 7.72/2.40 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) = v0))
% 7.72/2.40 | (142) ! [v0] : ! [v1] : ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) | ~ leq(n0, v0) | leq(v2, v0))
% 7.72/2.40 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 7.72/2.40 | (144) divide(all_0_3_3, all_0_2_2) = all_0_1_1
% 7.72/2.40 | (145) succ(n0) = n1
% 7.72/2.40 | (146) gt(n135299, n4)
% 7.72/2.40 | (147) times(n2, tptp_pi) = all_0_28_28
% 7.72/2.40 | (148) gt(n2, n0)
% 7.72/2.40 | (149) times(all_0_18_18, all_0_18_18) = all_0_6_6
% 7.72/2.40 | (150) pred(pv47) = all_0_24_24
% 7.72/2.40 | (151) gt(n135299, n2)
% 7.72/2.40 | (152) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 7.72/2.40 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0))
% 7.72/2.40 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 7.72/2.40 | (155) ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 | ~ leq(v0, n4) | ~ leq(n0, v0))
% 7.72/2.40 | (156) times(all_0_4_4, all_0_14_14) = all_0_3_3
% 7.72/2.40 | (157) ! [v0] : ( ~ leq(v0, all_0_23_23) | ~ leq(n0, v0) | ? [v1] : (sum(n0, n4, v1) = n1 & a_select3(q, v0, tptp_sum_index) = v1))
% 7.72/2.40 | (158) ! [v0] : ! [v1] : (v1 = tptp_float_0_0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 7.72/2.41 | (159) gt(n5, tptp_minus_1)
% 7.72/2.41 | (160) minus(all_0_39_39, all_0_38_38) = all_0_37_37
% 7.72/2.41 | (161) minus(all_0_39_39, all_0_22_22) = all_0_21_21
% 7.72/2.41 | (162) ! [v0] : ! [v1] : ! [v2] : ( ~ (succ(v1) = v2) | ~ leq(v0, v1) | leq(v0, v2))
% 7.90/2.41 | (163) gt(n135299, n0)
% 7.90/2.41 | (164) times(all_0_27_27, all_0_18_18) = all_0_2_2
% 7.90/2.41 | (165) ! [v0] : ! [v1] : (v1 = n0 | ~ (sum(n0, tptp_minus_1, v0) = v1))
% 7.90/2.41 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (tptp_update3(v0, v4, v4, v5) = v6) | ~ (a_select3(v6, v2, v3) = v7) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(v2, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ~ leq(n0, v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v8 = v7 & a_select3(v6, v3, v2) = v7) | ( ~ (v11 = v10) & a_select3(v0, v9, v8) = v11 & a_select3(v0, v8, v9) = v10 & leq(v9, v1) & leq(v8, v1) & leq(n0, v9) & leq(n0, v8))))
% 7.90/2.41 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (tptp_madd(v0, v1) = v3) | ~ (a_select3(v3, v4, v5) = v6) | ~ leq(v5, v2) | ~ leq(v4, v2) | ~ leq(n0, v5) | ~ leq(n0, v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v7 = v6 & a_select3(v3, v5, v4) = v6) | ( ~ (v10 = v9) & a_select3(v1, v8, v7) = v10 & a_select3(v1, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7)) | ( ~ (v10 = v9) & a_select3(v0, v8, v7) = v10 & a_select3(v0, v7, v8) = v9 & leq(v8, v2) & leq(v7, v2) & leq(n0, v8) & leq(n0, v7))))
% 7.90/2.41 | (168) times(all_0_18_18, all_0_18_18) = all_0_17_17
% 7.90/2.41 | (169) succ(tptp_minus_1) = n0
% 7.90/2.41 | (170) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : (plus(n3, v0) = v2 & succ(v3) = v2 & succ(v1) = v3))
% 7.90/2.41 | (171) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | minus(v0, n1) = v1)
% 7.90/2.41 | (172) ! [v0] : ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 7.90/2.41 | (173) gt(n0, tptp_minus_1)
% 7.90/2.41 | (174) succ(n3) = n4
% 7.90/2.41 | (175) divide(all_0_19_19, all_0_17_17) = all_0_16_16
% 7.90/2.41 | (176) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 7.90/2.41 | (177) divide(all_0_7_7, all_0_6_6) = all_0_5_5
% 7.90/2.41 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (trans(v0) = v2) | ~ (a_select3(v2, v3, v4) = v5) | ~ leq(v4, v1) | ~ leq(v3, v1) | ~ leq(n0, v4) | ~ leq(n0, v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v6 = v5 & a_select3(v2, v4, v3) = v5) | ( ~ (v9 = v8) & a_select3(v0, v7, v6) = v9 & a_select3(v0, v6, v7) = v8 & leq(v7, v1) & leq(v6, v1) & leq(n0, v7) & leq(n0, v6))))
% 7.90/2.41 | (179) a_select2(sigma, pv47) = all_0_18_18
% 7.90/2.41 | (180) leq(pv47, n4)
% 7.90/2.41 | (181) gt(n3, n0)
% 7.90/2.41 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (minus(v0, v1) = v2) | ~ leq(v2, v0) | leq(n0, v1))
% 7.90/2.41 | (183) ! [v0] : ! [v1] : ( ~ (plus(n4, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 7.90/2.41 | (184) gt(n4, tptp_minus_1)
% 7.90/2.41 | (185) gt(n1, n0)
% 7.90/2.41 | (186) ! [v0] : ! [v1] : ( ~ gt(v1, v0) | leq(v0, v1))
% 7.90/2.41 | (187) gt(n135299, n1)
% 7.90/2.41 | (188) ! [v0] : (v0 = n0 | ~ leq(v0, n0) | ~ leq(n0, v0))
% 7.90/2.41 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1) | ~ (tptp_mmul(v3, v2) = v0))
% 7.90/2.41 | (190) a_select2(rho, tptp_sum_index) = all_0_30_30
% 7.90/2.41 | (191) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (plus(v0, n4) = v2 & succ(v4) = v2 & succ(v3) = v4 & succ(v1) = v3))
% 7.90/2.41 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0))
% 7.90/2.41 | (193) ! [v0] : ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 7.90/2.41 | (194) ! [v0] : ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 7.90/2.41 | (195) times(all_0_31_31, all_0_30_30) = all_0_29_29
% 7.90/2.41 |
% 7.90/2.41 | Instantiating formula (127) with all_0_18_18, all_0_18_18, all_0_17_17, all_0_6_6 and discharging atoms times(all_0_18_18, all_0_18_18) = all_0_6_6, times(all_0_18_18, all_0_18_18) = all_0_17_17, yields:
% 7.90/2.41 | (196) all_0_6_6 = all_0_17_17
% 7.90/2.41 |
% 7.90/2.41 | Instantiating formula (127) with all_0_27_27, all_0_18_18, all_0_12_12, all_0_2_2 and discharging atoms times(all_0_27_27, all_0_18_18) = all_0_2_2, times(all_0_27_27, all_0_18_18) = all_0_12_12, yields:
% 7.90/2.41 | (197) all_0_2_2 = all_0_12_12
% 7.90/2.41 |
% 7.90/2.41 | Instantiating formula (97) with all_0_39_39, all_0_22_22, all_0_21_21, all_0_9_9 and discharging atoms minus(all_0_39_39, all_0_22_22) = all_0_9_9, minus(all_0_39_39, all_0_22_22) = all_0_21_21, yields:
% 7.90/2.41 | (198) all_0_9_9 = all_0_21_21
% 7.90/2.41 |
% 7.90/2.41 | From (198)(198) and (126) follows:
% 7.90/2.42 | (199) times(all_0_21_21, all_0_21_21) = all_0_8_8
% 7.90/2.42 |
% 7.90/2.42 | From (197) and (144) follows:
% 7.90/2.42 | (200) divide(all_0_3_3, all_0_12_12) = all_0_1_1
% 7.90/2.42 |
% 7.90/2.42 | From (196) and (177) follows:
% 7.90/2.42 | (201) divide(all_0_7_7, all_0_17_17) = all_0_5_5
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (127) with all_0_21_21, all_0_21_21, all_0_8_8, all_0_20_20 and discharging atoms times(all_0_21_21, all_0_21_21) = all_0_8_8, times(all_0_21_21, all_0_21_21) = all_0_20_20, yields:
% 7.90/2.42 | (202) all_0_8_8 = all_0_20_20
% 7.90/2.42 |
% 7.90/2.42 | From (202) and (66) follows:
% 7.90/2.42 | (203) divide(all_0_20_20, tptp_minus_2) = all_0_7_7
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (8) with all_0_20_20, tptp_minus_2, all_0_7_7, all_0_19_19 and discharging atoms divide(all_0_20_20, tptp_minus_2) = all_0_7_7, divide(all_0_20_20, tptp_minus_2) = all_0_19_19, yields:
% 7.90/2.42 | (204) all_0_7_7 = all_0_19_19
% 7.90/2.42 |
% 7.90/2.42 | From (204) and (201) follows:
% 7.90/2.42 | (205) divide(all_0_19_19, all_0_17_17) = all_0_5_5
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (8) with all_0_19_19, all_0_17_17, all_0_5_5, all_0_16_16 and discharging atoms divide(all_0_19_19, all_0_17_17) = all_0_5_5, divide(all_0_19_19, all_0_17_17) = all_0_16_16, yields:
% 7.90/2.42 | (206) all_0_5_5 = all_0_16_16
% 7.90/2.42 |
% 7.90/2.42 | From (206) and (11) follows:
% 7.90/2.42 | (207) exp(all_0_16_16) = all_0_4_4
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (30) with all_0_16_16, all_0_4_4, all_0_15_15 and discharging atoms exp(all_0_16_16) = all_0_4_4, exp(all_0_16_16) = all_0_15_15, yields:
% 7.90/2.42 | (208) all_0_4_4 = all_0_15_15
% 7.90/2.42 |
% 7.90/2.42 | From (208) and (156) follows:
% 7.90/2.42 | (209) times(all_0_15_15, all_0_14_14) = all_0_3_3
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (127) with all_0_15_15, all_0_14_14, all_0_3_3, all_0_13_13 and discharging atoms times(all_0_15_15, all_0_14_14) = all_0_3_3, times(all_0_15_15, all_0_14_14) = all_0_13_13, yields:
% 7.90/2.42 | (210) all_0_3_3 = all_0_13_13
% 7.90/2.42 |
% 7.90/2.42 | From (210) and (200) follows:
% 7.90/2.42 | (211) divide(all_0_13_13, all_0_12_12) = all_0_1_1
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (8) with all_0_13_13, all_0_12_12, all_0_1_1, all_0_11_11 and discharging atoms divide(all_0_13_13, all_0_12_12) = all_0_1_1, divide(all_0_13_13, all_0_12_12) = all_0_11_11, yields:
% 7.90/2.42 | (212) all_0_1_1 = all_0_11_11
% 7.90/2.42 |
% 7.90/2.42 | From (212) and (6) follows:
% 7.90/2.42 | (213) divide(all_0_11_11, pv84) = all_0_0_0
% 7.90/2.42 |
% 7.90/2.42 | Instantiating formula (8) with all_0_11_11, pv84, all_0_0_0, all_0_10_10 and discharging atoms divide(all_0_11_11, pv84) = all_0_0_0, divide(all_0_11_11, pv84) = all_0_10_10, yields:
% 7.90/2.42 | (214) all_0_0_0 = all_0_10_10
% 7.90/2.42 |
% 7.90/2.42 | Equations (214) can reduce 90 to:
% 7.90/2.42 | (215) $false
% 7.90/2.42 |
% 7.90/2.42 |-The branch is then unsatisfiable
% 7.90/2.42 % SZS output end Proof for theBenchmark
% 7.90/2.42
% 7.90/2.42 1812ms
%------------------------------------------------------------------------------