%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 : Mon Jul 18 08:49:53 EDT 2022 % Result : Theorem 93.79s 57.72s % Output : Proof 145.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jul 7 16:31:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.57 ____ _ % 0.18/0.57 ___ / __ \_____(_)___ ________ __________ % 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.57 % 0.18/0.57 A Theorem Prover for First-Order Logic % 0.18/0.57 (ePrincess v.1.0) % 0.18/0.57 % 0.18/0.57 (c) Philipp Rümmer, 2009-2015 % 0.18/0.57 (c) Peter Backeman, 2014-2015 % 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.57 Bug reports to peter@backeman.se % 0.18/0.57 % 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.57 % 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.63/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.37/1.08 Prover 0: Preprocessing ... % 5.17/1.73 Prover 0: Warning: ignoring some quantifiers % 5.17/1.77 Prover 0: Constructing countermodel ... % 19.19/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.66/6.05 Prover 1: Preprocessing ... % 20.68/6.31 Prover 1: Constructing countermodel ... % 30.08/8.51 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 30.62/8.64 Prover 2: Preprocessing ... % 31.67/8.89 Prover 2: Warning: ignoring some quantifiers % 31.80/8.90 Prover 2: Constructing countermodel ... % 39.07/11.53 Prover 0: stopped % 39.53/11.73 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 39.63/11.82 Prover 3: Preprocessing ... % 40.25/11.93 Prover 3: Warning: ignoring some quantifiers % 40.25/11.94 Prover 3: Constructing countermodel ... % 85.10/53.06 Prover 3: stopped % 85.38/53.26 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 85.53/53.32 Prover 4: Preprocessing ... % 86.31/53.55 Prover 4: Warning: ignoring some quantifiers % 86.72/53.57 Prover 4: Constructing countermodel ... % 93.79/57.71 Prover 4: proved (1840ms) % 93.79/57.71 Prover 2: stopped % 93.79/57.72 Prover 1: stopped % 93.79/57.72 % 93.79/57.72 No countermodel exists, formula is valid % 93.79/57.72 % SZS status Theorem for theBenchmark % 93.79/57.72 % 93.79/57.72 Generating proof ... Warning: ignoring some quantifiers % 144.33/94.13 found it (size 498) % 144.33/94.13 % 144.33/94.13 % SZS output start Proof for theBenchmark % 144.33/94.13 Assumed formulas after preprocessing and simplification: % 144.33/94.13 | (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] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ( ~ (v11 = 0) & ring_char_0(int) = 0 & linordered_idom(int) = 0 & number_ring(int) = 0 & number_semiring(nat) = 0 & number_semiring(int) = 0 & twoSqu33214720sum2sq(v57) = 0 & power_power(int, s, v59) = v60 & power_power(int, s, v19) = v20 & ord_less_eq(int, v6, t) = 0 & ord_less_eq(int, pls, pls) = 0 & linorder(nat) = 0 & linorder(int) = 0 & ord_less(int, v6, t) = v76 & ord_less(int, t, v75) = 0 & ord_less(int, pls, pls) = v11 & number(nat) = 0 & number(int) = 0 & number_number_of(nat, v88) = v89 & number_number_of(nat, v77) = v78 & number_number_of(nat, v58) = v59 & number_number_of(nat, v49) = v50 & number_number_of(nat, v47) = v48 & number_number_of(nat, v44) = v45 & number_number_of(nat, v42) = v43 & number_number_of(nat, v40) = v41 & number_number_of(nat, v38) = v39 & number_number_of(nat, v36) = v37 & number_number_of(nat, v34) = v35 & number_number_of(nat, v32) = v33 & number_number_of(nat, v30) = v31 & number_number_of(nat, v28) = v29 & number_number_of(nat, v18) = v19 & number_number_of(nat, v16) = v17 & number_number_of(nat, v14) = v15 & number_number_of(nat, v13) = v12 & number_number_of(nat, v1) = v2 & number_number_of(nat, v0) = v10 & number_number_of(int, v90) = v91 & number_number_of(int, v79) = v80 & number_number_of(int, v72) = v73 & number_number_of(int, v67) = v68 & number_number_of(int, v62) = v63 & number_number_of(int, v53) = v54 & number_number_of(int, v49) = v51 & number_number_of(int, v44) = v46 & number_number_of(int, v22) = v23 & number_number_of(int, v8) = v9 & number_number_of(int, v3) = v4 & bit1(v0) = v44 & bit1(v0) = v38 & bit1(pls) = v0 & bit0(v88) = v90 & bit0(v77) = v79 & bit0(v71) = v72 & bit0(v66) = v67 & bit0(v58) = v62 & bit0(v52) = v53 & bit0(v18) = v22 & bit0(v1) = v3 & bit0(v0) = v88 & bit0(v0) = v77 & bit0(v0) = v71 & bit0(v0) = v66 & bit0(v0) = v58 & bit0(v0) = v52 & bit0(v0) = v49 & bit0(v0) = v47 & bit0(v0) = v42 & bit0(v0) = v40 & bit0(v0) = v36 & bit0(v0) = v34 & bit0(v0) = v32 & bit0(v0) = v30 & bit0(v0) = v28 & bit0(v0) = v27 & bit0(v0) = v18 & bit0(v0) = v16 & bit0(v0) = v14 & bit0(v0) = v13 & bit0(v0) = v8 & bit0(v0) = v1 & zprime(v70) = 0 & zprime(v9) = 0 & monoid_mult(nat) = 0 & monoid_mult(int) = 0 & times_times(int, v91, m) = v92 & times_times(int, v80, m) = v81 & times_times(int, v73, m) = v74 & times_times(int, v68, m) = v69 & times_times(int, v65, t) = v61 & times_times(int, v63, m) = v64 & times_times(int, v56, t) = v57 & times_times(int, v54, m) = v55 & times_times(int, v25, v26) = v21 & times_times(int, v23, m) = v24 & times_times(int, v4, m) = v5 & comm_semiring_1(nat) = 0 & comm_semiring_1(int) = 0 & plus_plus(nat, v10, v10) = v12 & plus_plus(int, v92, v6) = v93 & plus_plus(int, v81, v6) = v82 & plus_plus(int, v74, v6) = v75 & plus_plus(int, v69, v6) = v70 & plus_plus(int, v64, v6) = v65 & plus_plus(int, v60, v6) = v61 & plus_plus(int, v55, v6) = v56 & plus_plus(int, v24, v6) = v25 & plus_plus(int, v20, v6) = v21 & plus_plus(int, v5, v6) = v7 & semiring_1(nat) = 0 & semiring_1(int) = 0 & one_one(nat) = v10 & one_one(int) = v6 & ti(int, t) = t & ti(int, s) = s & ti(int, m) = m & ti(int, pls) = pls & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v104, v105) = v106) | ~ (times_times(v99, v102, v103) = v105) | ~ (times_times(v99, v100, v101) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : ? [v108] : (times_times(v99, v107, v108) = v106 & times_times(v99, v101, v103) = v108 & times_times(v99, v100, v102) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v104, v105) = v106) | ~ (times_times(v99, v102, v103) = v105) | ~ (times_times(v99, v100, v101) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : (times_times(v99, v104, v103) = v107 & times_times(v99, v102, v107) = v106)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v104, v105) = v106) | ~ (times_times(v99, v102, v103) = v105) | ~ (times_times(v99, v100, v101) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : (times_times(v99, v101, v105) = v107 & times_times(v99, v100, v107) = v106)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v104, v105) = v106) | ~ (times_times(v99, v101, v103) = v105) | ~ (times_times(v99, v100, v102) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : ? [v108] : (times_times(v99, v107, v108) = v106 & times_times(v99, v102, v103) = v108 & times_times(v99, v100, v101) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v104, v103) = v105) | ~ (times_times(v99, v102, v105) = v106) | ~ (times_times(v99, v100, v101) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : (times_times(v99, v104, v107) = v106 & times_times(v99, v102, v103) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (times_times(v99, v102, v103) = v104) | ~ (times_times(v99, v101, v104) = v105) | ~ (times_times(v99, v100, v105) = v106) | ~ (comm_semiring_1(v99) = 0) | ? [v107] : (times_times(v99, v107, v104) = v106 & times_times(v99, v100, v101) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v104, v105) = v106) | ~ (plus_plus(v99, v102, v103) = v105) | ~ (plus_plus(v99, v100, v101) = v104) | ? [v107] : ? [v108] : (plus_plus(v99, v107, v108) = v106 & plus_plus(v99, v101, v103) = v108 & plus_plus(v99, v100, v102) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ! [v106] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v104, v105) = v106) | ~ (plus_plus(v99, v101, v103) = v105) | ~ (plus_plus(v99, v100, v102) = v104) | ? [v107] : ? [v108] : (plus_plus(v99, v107, v108) = v106 & plus_plus(v99, v102, v103) = v108 & plus_plus(v99, v100, v101) = v107)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : (v105 = 0 | ~ (ord_less(int, v103, v104) = v105) | ~ (plus_plus(int, v102, v100) = v104) | ~ (plus_plus(int, v101, v99) = v103) | ? [v106] : ? [v107] : (ord_less_eq(int, v99, v100) = v107 & ord_less(int, v101, v102) = v106 & ( ~ (v107 = 0) | ~ (v106 = 0)))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ( ~ (power_power(v99, v102, v43) = v104) | ~ (power_power(v99, v101, v43) = v103) | ~ (number_number_of(v99, v42) = v100) | ~ (plus_plus(v99, v103, v104) = v105) | ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ((v110 = v107 & power_power(v99, v106, v43) = v107 & times_times(v99, v108, v102) = v109 & times_times(v99, v100, v101) = v108 & plus_plus(v99, v105, v109) = v107 & plus_plus(v99, v101, v102) = v106) | ( ~ (v106 = 0) & number_semiring(v99) = v106))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ( ~ (power_power(v99, v100, v102) = v104) | ~ (power_power(v99, v100, v101) = v103) | ~ (times_times(v99, v103, v104) = v105) | ~ (comm_semiring_1(v99) = 0) | ? [v106] : (power_power(v99, v100, v106) = v105 & plus_plus(nat, v101, v102) = v106)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (linordered_idom(v99) = 0) | ~ (ord_less_eq(v99, v102, v103) = v104) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v105] : (( ~ (v105 = 0) & number_ring(v99) = v105) | ( ~ (v105 = 0) & ord_less_eq(int, v100, v101) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (linordered_idom(v99) = 0) | ~ (ord_less(v99, v102, v103) = v104) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v105] : (( ~ (v105 = 0) & number_ring(v99) = v105) | ( ~ (v105 = 0) & ord_less(int, v100, v101) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (number_ring(v99) = 0) | ~ (ord_less_eq(v99, v102, v103) = v104) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v105] : (( ~ (v105 = 0) & linordered_idom(v99) = v105) | ( ~ (v105 = 0) & ord_less_eq(int, v100, v101) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (number_ring(v99) = 0) | ~ (ord_less(v99, v102, v103) = v104) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v105] : (( ~ (v105 = 0) & linordered_idom(v99) = v105) | ( ~ (v105 = 0) & ord_less(int, v100, v101) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (ord_less_eq(v99, v103, v102) = v104) | ~ (linorder(v99) = 0) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v103) | ? [v105] : ((v105 = 0 & ord_less(v99, v102, v103) = 0) | ( ~ (v105 = 0) & number(v99) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (ord_less_eq(v99, v103, v102) = v104) | ~ (number(v99) = 0) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v103) | ? [v105] : ((v105 = 0 & ord_less(v99, v102, v103) = 0) | ( ~ (v105 = 0) & linorder(v99) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (ord_less_eq(int, v102, v103) = v104) | ~ (plus_plus(int, v99, v101) = v103) | ~ (plus_plus(int, v99, v100) = v102) | ? [v105] : ( ~ (v105 = 0) & ord_less_eq(int, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (linorder(v99) = 0) | ~ (ord_less(v99, v102, v103) = v104) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v103) | ? [v105] : ((v105 = 0 & ord_less_eq(v99, v103, v102) = 0) | ( ~ (v105 = 0) & number(v99) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (ord_less(v99, v102, v103) = v104) | ~ (number(v99) = 0) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v103) | ? [v105] : ((v105 = 0 & ord_less_eq(v99, v103, v102) = 0) | ( ~ (v105 = 0) & linorder(v99) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : (v104 = 0 | ~ (ord_less(int, v102, v103) = v104) | ~ (plus_plus(int, v101, v99) = v103) | ~ (plus_plus(int, v100, v99) = v102) | ? [v105] : ( ~ (v105 = 0) & ord_less(int, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (power_power(v99, v103, v102) = v104) | ~ (power_power(v99, v100, v101) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (power_power(v99, v100, v105) = v104 & times_times(nat, v101, v102) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (power_power(v99, v100, v103) = v104) | ~ (times_times(nat, v101, v102) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (power_power(v99, v105, v102) = v104 & power_power(v99, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (power_power(v99, v100, v103) = v104) | ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(nat, v101, v102) = v103) | ? [v105] : ? [v106] : (power_power(v99, v100, v102) = v106 & power_power(v99, v100, v101) = v105 & times_times(v99, v105, v106) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (power_power(int, v99, v101) = v103) | ~ (power_power(int, v99, v100) = v102) | ~ (times_times(int, v102, v103) = v104) | ? [v105] : (power_power(int, v99, v105) = v104 & plus_plus(nat, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (number_number_of(v99, v42) = v100) | ~ (times_times(v99, v103, v102) = v104) | ~ (times_times(v99, v100, v101) = v103) | ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ((v110 = v106 & power_power(v99, v105, v43) = v106 & power_power(v99, v102, v43) = v108 & power_power(v99, v101, v43) = v107 & plus_plus(v99, v109, v104) = v106 & plus_plus(v99, v107, v108) = v109 & plus_plus(v99, v101, v102) = v105) | ( ~ (v105 = 0) & number_semiring(v99) = v105))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v103, v102) = v104) | ~ (times_times(v99, v100, v101) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v105, v101) = v104 & times_times(v99, v100, v102) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v103, v102) = v104) | ~ (times_times(v99, v100, v101) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v101, v102) = v105 & times_times(v99, v100, v105) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v103, v101) = v104) | ~ (times_times(v99, v100, v102) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v105, v102) = v104 & times_times(v99, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v101, v103) = v104) | ~ (times_times(v99, v100, v102) = v103) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v101, v102) = v105 & times_times(v99, v100, v105) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v101, v102) = v103) | ~ (times_times(v99, v100, v103) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v105, v102) = v104 & times_times(v99, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v101, v102) = v103) | ~ (times_times(v99, v100, v103) = v104) | ~ (comm_semiring_1(v99) = 0) | ? [v105] : (times_times(v99, v101, v105) = v104 & times_times(v99, v100, v102) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v103, v102) = v104) | ~ (plus_plus(v99, v100, v101) = v103) | ? [v105] : (plus_plus(v99, v105, v101) = v104 & plus_plus(v99, v100, v102) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v103, v102) = v104) | ~ (plus_plus(v99, v100, v101) = v103) | ? [v105] : (plus_plus(v99, v101, v102) = v105 & plus_plus(v99, v100, v105) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v103, v101) = v104) | ~ (plus_plus(v99, v100, v102) = v103) | ? [v105] : (plus_plus(v99, v105, v102) = v104 & plus_plus(v99, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v101, v103) = v104) | ~ (plus_plus(v99, v100, v102) = v103) | ? [v105] : (plus_plus(v99, v101, v102) = v105 & plus_plus(v99, v100, v105) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v101, v102) = v103) | ~ (plus_plus(v99, v100, v103) = v104) | ? [v105] : (plus_plus(v99, v105, v102) = v104 & plus_plus(v99, v100, v101) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v101, v102) = v103) | ~ (plus_plus(v99, v100, v103) = v104) | ? [v105] : (plus_plus(v99, v101, v105) = v104 & plus_plus(v99, v100, v102) = v105)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = v102 | ~ (number_number_of(nat, v100) = v101) | ~ (number_number_of(nat, v99) = v102) | ~ (plus_plus(nat, v101, v102) = v103) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v100, pls) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less_eq(int, v101, v102) = v103) | ~ (number_number_of(int, v100) = v102) | ~ (number_number_of(int, v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less_eq(int, v101, v102) = v103) | ~ (bit1(v100) = v102) | ~ (bit1(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less_eq(int, v101, v102) = v103) | ~ (bit1(v100) = v102) | ~ (bit0(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less_eq(int, v101, v102) = v103) | ~ (bit1(v99) = v101) | ~ (bit0(v100) = v102) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less_eq(int, v101, v102) = v103) | ~ (bit0(v100) = v102) | ~ (bit0(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less(int, v101, v102) = v103) | ~ (number_number_of(int, v100) = v102) | ~ (number_number_of(int, v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less(int, v101, v102) = v103) | ~ (bit1(v100) = v102) | ~ (bit1(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less(int, v101, v102) = v103) | ~ (bit1(v100) = v102) | ~ (bit0(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less(int, v101, v102) = v103) | ~ (bit1(v99) = v101) | ~ (bit0(v100) = v102) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v103 = 0 | ~ (ord_less(int, v101, v102) = v103) | ~ (bit0(v100) = v102) | ~ (bit0(v99) = v101) | ? [v104] : ( ~ (v104 = 0) & ord_less(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v100 = v99 | ~ (power_power(v103, v102, v101) = v100) | ~ (power_power(v103, v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v100 = v99 | ~ (ord_less_eq(v103, v102, v101) = v100) | ~ (ord_less_eq(v103, v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v100 = v99 | ~ (ord_less(v103, v102, v101) = v100) | ~ (ord_less(v103, v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v100 = v99 | ~ (times_times(v103, v102, v101) = v100) | ~ (times_times(v103, v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : (v100 = v99 | ~ (plus_plus(v103, v102, v101) = v100) | ~ (plus_plus(v103, v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (linordered_idom(v99) = 0) | ~ (ord_less_eq(v99, v102, v103) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : ((v104 = 0 & ord_less_eq(int, v100, v101) = 0) | ( ~ (v104 = 0) & number_ring(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (linordered_idom(v99) = 0) | ~ (ord_less(v99, v102, v103) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : ((v104 = 0 & ord_less(int, v100, v101) = 0) | ( ~ (v104 = 0) & number_ring(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (number_ring(v99) = 0) | ~ (ord_less_eq(v99, v102, v103) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : ((v104 = 0 & ord_less_eq(int, v100, v101) = 0) | ( ~ (v104 = 0) & linordered_idom(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (number_ring(v99) = 0) | ~ (ord_less(v99, v102, v103) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : ((v104 = 0 & ord_less(int, v100, v101) = 0) | ( ~ (v104 = 0) & linordered_idom(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(v101, v102, v100) = v103) | ~ (ti(v101, v99) = v102) | ? [v104] : ? [v105] : (power_power(v101, v99, v100) = v105 & monoid_mult(v101) = v104 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(v101, v99, v102) = v103) | ~ (ti(nat, v100) = v102) | ? [v104] : ? [v105] : (power_power(v101, v99, v100) = v105 & monoid_mult(v101) = v104 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(v99, v100, v102) = v103) | ~ (times_times(nat, v29, v101) = v102) | ~ (comm_semiring_1(v99) = 0) | ? [v104] : (power_power(v99, v100, v101) = v104 & times_times(v99, v104, v104) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(int, v102, v101) = v103) | ~ (power_power(int, v99, v100) = v102) | ? [v104] : (power_power(int, v99, v104) = v103 & times_times(nat, v100, v101) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(int, v100, v48) = v102) | ~ (times_times(int, v101, v102) = v103) | ~ (times_times(int, v46, v99) = v101) | ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : (power_power(int, v104, v45) = v105 & power_power(int, v100, v45) = v112 & power_power(int, v99, v48) = v107 & power_power(int, v99, v45) = v106 & times_times(int, v108, v100) = v109 & times_times(int, v46, v107) = v108 & plus_plus(int, v111, v112) = v105 & plus_plus(int, v110, v103) = v111 & plus_plus(int, v106, v109) = v110 & plus_plus(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(int, v99, v102) = v103) | ~ (times_times(nat, v100, v101) = v102) | ? [v104] : (power_power(int, v104, v101) = v103 & power_power(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(int, v99, v102) = v103) | ~ (plus_plus(nat, v100, v101) = v102) | ? [v104] : ? [v105] : (power_power(int, v99, v101) = v105 & power_power(int, v99, v100) = v104 & times_times(int, v104, v105) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (power_power(int, v99, v48) = v101) | ~ (times_times(int, v102, v100) = v103) | ~ (times_times(int, v46, v101) = v102) | ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : (power_power(int, v104, v45) = v105 & power_power(int, v100, v48) = v109 & power_power(int, v100, v45) = v112 & power_power(int, v99, v45) = v106 & times_times(int, v108, v109) = v110 & times_times(int, v46, v99) = v108 & plus_plus(int, v111, v112) = v105 & plus_plus(int, v107, v110) = v111 & plus_plus(int, v106, v103) = v107 & plus_plus(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less_eq(v101, v102, v100) = v103) | ~ (ti(v101, v99) = v102) | ? [v104] : ? [v105] : ? [v106] : (ord_less_eq(v101, v99, v100) = v106 & linorder(v101) = v105 & number(v101) = v104 & ( ~ (v105 = 0) | ~ (v104 = 0) | (( ~ (v106 = 0) | v103 = 0) & ( ~ (v103 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less_eq(v101, v99, v102) = v103) | ~ (ti(v101, v100) = v102) | ? [v104] : ? [v105] : ? [v106] : (ord_less_eq(v101, v99, v100) = v106 & linorder(v101) = v105 & number(v101) = v104 & ( ~ (v105 = 0) | ~ (v104 = 0) | (( ~ (v106 = 0) | v103 = 0) & ( ~ (v103 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less_eq(v99, v102, v103) = 0) | ~ (linorder(v99) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : (( ~ (v104 = 0) & ord_less(v99, v103, v102) = v104) | ( ~ (v104 = 0) & number(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less_eq(v99, v102, v103) = 0) | ~ (number(v99) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : (( ~ (v104 = 0) & linorder(v99) = v104) | ( ~ (v104 = 0) & ord_less(v99, v103, v102) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (linorder(v99) = 0) | ~ (ord_less(v99, v103, v102) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : (( ~ (v104 = 0) & ord_less_eq(v99, v102, v103) = v104) | ( ~ (v104 = 0) & number(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less(v101, v102, v100) = v103) | ~ (ti(v101, v99) = v102) | ? [v104] : ? [v105] : ? [v106] : (linorder(v101) = v105 & ord_less(v101, v99, v100) = v106 & number(v101) = v104 & ( ~ (v105 = 0) | ~ (v104 = 0) | (( ~ (v106 = 0) | v103 = 0) & ( ~ (v103 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less(v101, v99, v102) = v103) | ~ (ti(v101, v100) = v102) | ? [v104] : ? [v105] : ? [v106] : (linorder(v101) = v105 & ord_less(v101, v99, v100) = v106 & number(v101) = v104 & ( ~ (v105 = 0) | ~ (v104 = 0) | (( ~ (v106 = 0) | v103 = 0) & ( ~ (v103 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (ord_less(v99, v103, v102) = 0) | ~ (number(v99) = 0) | ~ (number_number_of(v99, v101) = v103) | ~ (number_number_of(v99, v100) = v102) | ? [v104] : (( ~ (v104 = 0) & ord_less_eq(v99, v102, v103) = v104) | ( ~ (v104 = 0) & linorder(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (number_number_of(v99, v42) = v100) | ~ (plus_plus(v99, v101, v102) = v103) | ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ((v110 = v104 & power_power(v99, v103, v43) = v104 & power_power(v99, v102, v43) = v106 & power_power(v99, v101, v43) = v105 & times_times(v99, v108, v102) = v109 & times_times(v99, v100, v101) = v108 & plus_plus(v99, v107, v109) = v104 & plus_plus(v99, v105, v106) = v107) | ( ~ (v104 = 0) & number_semiring(v99) = v104))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (number_number_of(nat, v100) = v101) | ~ (number_number_of(nat, v99) = v102) | ~ (plus_plus(nat, v101, v102) = v103) | ? [v104] : ? [v105] : ? [v106] : ? [v107] : (ord_less(int, v100, pls) = v104 & ord_less(int, v99, pls) = v105 & number_number_of(nat, v106) = v107 & plus_plus(int, v100, v99) = v106 & (v104 = 0 | (( ~ (v105 = 0) | v103 = v101) & (v107 = v103 | v105 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (times_times(v101, v102, v100) = v103) | ~ (ti(v101, v99) = v102) | ? [v104] : ? [v105] : (monoid_mult(v101) = v104 & times_times(v101, v99, v100) = v105 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (times_times(v101, v99, v102) = v103) | ~ (ti(v101, v100) = v102) | ? [v104] : ? [v105] : (monoid_mult(v101) = v104 & times_times(v101, v99, v100) = v105 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (times_times(int, v102, v101) = v103) | ~ (times_times(int, v99, v100) = v102) | ? [v104] : (times_times(int, v100, v101) = v104 & times_times(int, v99, v104) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (times_times(int, v100, v101) = v102) | ~ (times_times(int, v99, v102) = v103) | ? [v104] : (times_times(int, v104, v101) = v103 & times_times(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(v101, v102, v100) = v103) | ~ (ti(v101, v99) = v102) | ? [v104] : ? [v105] : (comm_semiring_1(v101) = v104 & plus_plus(v101, v99, v100) = v105 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(v101, v99, v102) = v103) | ~ (ti(v101, v100) = v102) | ? [v104] : ? [v105] : (comm_semiring_1(v101) = v104 & plus_plus(v101, v99, v100) = v105 & ( ~ (v104 = 0) | v105 = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(int, v102, v101) = v103) | ~ (plus_plus(int, v99, v100) = v102) | ? [v104] : (plus_plus(int, v100, v101) = v104 & plus_plus(int, v99, v104) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(int, v100, v102) = v103) | ~ (plus_plus(int, v99, v101) = v102) | ? [v104] : (plus_plus(int, v100, v101) = v104 & plus_plus(int, v99, v104) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(int, v100, v101) = v102) | ~ (plus_plus(int, v99, v102) = v103) | ? [v104] : (plus_plus(int, v104, v101) = v103 & plus_plus(int, v99, v100) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(int, v100, v101) = v102) | ~ (plus_plus(int, v99, v102) = v103) | ? [v104] : (plus_plus(int, v100, v104) = v103 & plus_plus(int, v99, v101) = v104)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = v101 | ~ (ring_char_0(v99) = 0) | ~ (number_number_of(v99, v100) = v102) | ~ (number_number_of(v99, v100) = v101) | ? [v103] : ( ~ (v103 = 0) & number_ring(v99) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = v101 | ~ (number_ring(v99) = 0) | ~ (number_number_of(v99, v100) = v102) | ~ (number_number_of(v99, v100) = v101) | ? [v103] : ( ~ (v103 = 0) & ring_char_0(v99) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (linordered_idom(v99) = 0) | ~ (ord_less_eq(int, v100, v101) = v102) | ? [v103] : ? [v104] : ? [v105] : (( ~ (v105 = 0) & ord_less_eq(v99, v103, v104) = v105 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (linordered_idom(v99) = 0) | ~ (ord_less(int, v100, v101) = v102) | ? [v103] : ? [v104] : ? [v105] : (( ~ (v105 = 0) & ord_less(v99, v103, v104) = v105 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (number_ring(v99) = 0) | ~ (ord_less_eq(int, v100, v101) = v102) | ? [v103] : ? [v104] : ? [v105] : (( ~ (v105 = 0) & ord_less_eq(v99, v103, v104) = v105 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103) | ( ~ (v103 = 0) & linordered_idom(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (number_ring(v99) = 0) | ~ (ord_less(int, v100, v101) = v102) | ? [v103] : ? [v104] : ? [v105] : (( ~ (v105 = 0) & ord_less(v99, v103, v104) = v105 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103) | ( ~ (v103 = 0) & linordered_idom(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (ord_less_eq(int, v101, v100) = v102) | ~ (plus_plus(int, v99, v6) = v101) | ? [v103] : ( ~ (v103 = 0) & ord_less(int, v99, v100) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (ord_less_eq(int, v101, v99) = 0) | ~ (ord_less_eq(int, v100, v99) = v102) | ? [v103] : ( ~ (v103 = 0) & ord_less_eq(int, v100, v101) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (ord_less_eq(int, v100, v101) = 0) | ~ (ord_less_eq(int, v100, v99) = v102) | ? [v103] : ( ~ (v103 = 0) & ord_less_eq(int, v101, v99) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v102 = 0 | ~ (ord_less(int, v99, v101) = v102) | ~ (plus_plus(int, v100, v6) = v101) | ? [v103] : ( ~ (v103 = 0) & ord_less_eq(int, v99, v100) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v101 = v100 | ~ (ring_char_0(v99) = 0) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v102) | ? [v103] : ( ~ (v103 = 0) & number_ring(v99) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v101 = v100 | ~ (number_ring(v99) = 0) | ~ (number_number_of(v99, v101) = v102) | ~ (number_number_of(v99, v100) = v102) | ? [v103] : ( ~ (v103 = 0) & ring_char_0(v99) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v100 = v99 | ~ (number_number_of(v102, v101) = v100) | ~ (number_number_of(v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : (v100 = v99 | ~ (ti(v102, v101) = v100) | ~ (ti(v102, v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (power_power(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (power_power(v101, v104, v100) = v105 & monoid_mult(v101) = v103 & ti(v101, v99) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (power_power(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (power_power(v101, v99, v104) = v105 & monoid_mult(v101) = v103 & ti(nat, v100) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (power_power(v101, v99, v100) = v102) | ? [v103] : ? [v104] : (monoid_mult(v101) = v103 & ti(v101, v102) = v104 & ( ~ (v103 = 0) | v104 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (power_power(v99, v100, v101) = v102) | ~ (comm_semiring_1(v99) = 0) | ? [v103] : ? [v104] : (power_power(v99, v100, v103) = v104 & times_times(v99, v102, v102) = v104 & times_times(nat, v29, v101) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (power_power(int, v100, v2) = v102) | ~ (power_power(int, v99, v2) = v101) | ~ (plus_plus(int, v101, v102) = v7)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : ? [v106] : (ord_less_eq(v101, v105, v100) = v106 & linorder(v101) = v104 & number(v101) = v103 & ti(v101, v99) = v105 & ( ~ (v104 = 0) | ~ (v103 = 0) | (( ~ (v106 = 0) | v102 = 0) & ( ~ (v102 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : ? [v106] : (ord_less_eq(v101, v99, v105) = v106 & linorder(v101) = v104 & number(v101) = v103 & ti(v101, v100) = v105 & ( ~ (v104 = 0) | ~ (v103 = 0) | (( ~ (v106 = 0) | v102 = 0) & ( ~ (v102 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(int, v101, v102) = 0) | ~ (number_number_of(int, v100) = v102) | ~ (number_number_of(int, v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(int, v101, v102) = 0) | ~ (bit1(v100) = v102) | ~ (bit1(v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(int, v101, v102) = 0) | ~ (bit1(v100) = v102) | ~ (bit0(v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(int, v101, v102) = 0) | ~ (bit1(v99) = v101) | ~ (bit0(v100) = v102) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less_eq(int, v101, v102) = 0) | ~ (bit0(v100) = v102) | ~ (bit0(v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : ? [v106] : (linorder(v101) = v104 & ord_less(v101, v105, v100) = v106 & number(v101) = v103 & ti(v101, v99) = v105 & ( ~ (v104 = 0) | ~ (v103 = 0) | (( ~ (v106 = 0) | v102 = 0) & ( ~ (v102 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : ? [v106] : (linorder(v101) = v104 & ord_less(v101, v99, v105) = v106 & number(v101) = v103 & ti(v101, v100) = v105 & ( ~ (v104 = 0) | ~ (v103 = 0) | (( ~ (v106 = 0) | v102 = 0) & ( ~ (v102 = 0) | v106 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(int, v101, v102) = 0) | ~ (number_number_of(int, v100) = v102) | ~ (number_number_of(int, v99) = v101) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(int, v101, v102) = 0) | ~ (bit1(v100) = v102) | ~ (bit1(v99) = v101) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(int, v101, v102) = 0) | ~ (bit1(v100) = v102) | ~ (bit0(v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(int, v101, v102) = 0) | ~ (bit1(v99) = v101) | ~ (bit0(v100) = v102) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (ord_less(int, v101, v102) = 0) | ~ (bit0(v100) = v102) | ~ (bit0(v99) = v101) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (number_number_of(v100, v101) = v102) | ~ (ti(int, v99) = v101) | ? [v103] : ? [v104] : (number(v100) = v103 & number_number_of(v100, v99) = v104 & ( ~ (v103 = 0) | v104 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (number_number_of(v99, v101) = v102) | ~ (one_one(v99) = v100) | ? [v103] : ? [v104] : ? [v105] : ((v105 = v103 & number_number_of(v99, v104) = v103 & plus_plus(v99, v102, v100) = v103 & plus_plus(int, v101, v0) = v104) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (number_number_of(v99, v101) = v102) | ~ (one_one(v99) = v100) | ? [v103] : ? [v104] : ? [v105] : ((v105 = v103 & number_number_of(v99, v104) = v103 & plus_plus(v99, v100, v102) = v103 & plus_plus(int, v0, v101) = v104) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (monoid_mult(v101) = v103 & times_times(v101, v104, v100) = v105 & ti(v101, v99) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (monoid_mult(v101) = v103 & times_times(v101, v99, v104) = v105 & ti(v101, v100) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(v101, v99, v100) = v102) | ? [v103] : ? [v104] : (monoid_mult(v101) = v103 & ti(v101, v102) = v104 & ( ~ (v103 = 0) | v104 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(v99, v101, v100) = v102) | ~ (comm_semiring_1(v99) = 0) | times_times(v99, v100, v101) = v102) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(v99, v100, v101) = v102) | ~ (comm_semiring_1(v99) = 0) | times_times(v99, v101, v100) = v102) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (times_times(int, v101, v100) = v102) | ~ (times_times(int, v51, v99) = v101) | ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : (power_power(int, v103, v50) = v104 & power_power(int, v100, v50) = v107 & power_power(int, v99, v50) = v105 & plus_plus(int, v106, v107) = v104 & plus_plus(int, v105, v102) = v106 & plus_plus(int, v99, v100) = v103)) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v101, v100) = v102) | plus_plus(v99, v100, v101) = v102) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (comm_semiring_1(v99) = 0) | ~ (plus_plus(v99, v100, v101) = v102) | plus_plus(v99, v101, v100) = v102) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (plus_plus(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (comm_semiring_1(v101) = v103 & plus_plus(v101, v104, v100) = v105 & ti(v101, v99) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (plus_plus(v101, v99, v100) = v102) | ? [v103] : ? [v104] : ? [v105] : (comm_semiring_1(v101) = v103 & plus_plus(v101, v99, v104) = v105 & ti(v101, v100) = v104 & ( ~ (v103 = 0) | v105 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (plus_plus(v101, v99, v100) = v102) | ? [v103] : ? [v104] : (comm_semiring_1(v101) = v103 & ti(v101, v102) = v104 & ( ~ (v103 = 0) | v104 = v102))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (plus_plus(int, v101, v0) = v102) | ~ (one_one(v99) = v100) | ? [v103] : ? [v104] : ? [v105] : ((v105 = v104 & number_number_of(v99, v102) = v104 & number_number_of(v99, v101) = v103 & plus_plus(v99, v103, v100) = v104) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : ! [v102] : ( ~ (plus_plus(int, v0, v101) = v102) | ~ (one_one(v99) = v100) | ? [v103] : ? [v104] : ? [v105] : ((v105 = v104 & number_number_of(v99, v102) = v104 & number_number_of(v99, v101) = v103 & plus_plus(v99, v100, v103) = v104) | ( ~ (v103 = 0) & number_ring(v99) = v103))) & ! [v99] : ! [v100] : ! [v101] : (v101 = v100 | ~ (bit1(v99) = v101) | ~ (bit1(v99) = v100)) & ! [v99] : ! [v100] : ! [v101] : (v101 = v100 | ~ (bit0(v99) = v101) | ~ (bit0(v99) = v100)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | v100 = v99 | ~ (ord_less(int, v100, v99) = v101) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | v100 = v99 | ~ (ord_less(int, v99, v100) = v101) | ord_less(int, v100, v99) = 0) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | v100 = v99 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ( ~ (v102 = 0) & ord_less_eq(int, v99, v100) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v100, v99) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ord_less_eq(int, v100, v99) = 0) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v102, v103) = v104 & number_number_of(int, v100) = v103 & number_number_of(int, v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v102, v103) = v104 & bit1(v100) = v103 & bit1(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v102, v103) = v104 & bit1(v100) = v103 & bit0(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v102, v103) = v104 & bit0(v100) = v103 & bit0(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less(int, v102, v103) = v104 & bit1(v100) = v103 & bit0(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ? [v103] : ( ~ (v103 = 0) & ord_less(int, v99, v102) = v103 & plus_plus(int, v100, v6) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less_eq(int, v99, v100) = v101) | ? [v102] : ( ~ (v102 = 0) & ord_less(int, v99, v100) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less_eq(int, v102, v103) = v104 & bit1(v99) = v102 & bit0(v100) = v103)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less(int, v102, v103) = v104 & number_number_of(int, v100) = v103 & number_number_of(int, v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less(int, v102, v103) = v104 & bit1(v100) = v103 & bit1(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less(int, v102, v103) = v104 & bit1(v99) = v102 & bit0(v100) = v103)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ( ~ (v104 = 0) & ord_less(int, v102, v103) = v104 & bit0(v100) = v103 & bit0(v99) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v101 = 0 | ~ (ord_less(int, v99, v100) = v101) | ? [v102] : ? [v103] : ( ~ (v103 = 0) & ord_less_eq(int, v102, v100) = v103 & plus_plus(int, v99, v6) = v102)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (ring_char_0(v101) = v100) | ~ (ring_char_0(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (linordered_idom(v101) = v100) | ~ (linordered_idom(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (number_ring(v101) = v100) | ~ (number_ring(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (number_semiring(v101) = v100) | ~ (number_semiring(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (twoSqu33214720sum2sq(v101) = v100) | ~ (twoSqu33214720sum2sq(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (linorder(v101) = v100) | ~ (linorder(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (number(v101) = v100) | ~ (number(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (bit1(v101) = v100) | ~ (bit1(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (bit1(v100) = v101) | ~ (bit1(v99) = v101)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (bit0(v101) = v100) | ~ (bit0(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (bit0(v100) = v101) | ~ (bit0(v99) = v101)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (zprime(v101) = v100) | ~ (zprime(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (undefined(v101) = v100) | ~ (undefined(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (monoid_mult(v101) = v100) | ~ (monoid_mult(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (comm_semiring_1(v101) = v100) | ~ (comm_semiring_1(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (semiring_1(v101) = v100) | ~ (semiring_1(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : (v100 = v99 | ~ (one_one(v101) = v100) | ~ (one_one(v101) = v99)) & ! [v99] : ! [v100] : ! [v101] : ( ~ (linordered_idom(v99) = 0) | ~ (ord_less_eq(int, v100, v101) = 0) | ? [v102] : ? [v103] : ? [v104] : ((v104 = 0 & ord_less_eq(v99, v102, v103) = 0 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102) | ( ~ (v102 = 0) & number_ring(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (linordered_idom(v99) = 0) | ~ (ord_less(int, v100, v101) = 0) | ? [v102] : ? [v103] : ? [v104] : ((v104 = 0 & ord_less(v99, v102, v103) = 0 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102) | ( ~ (v102 = 0) & number_ring(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number_ring(v99) = 0) | ~ (ord_less_eq(int, v100, v101) = 0) | ? [v102] : ? [v103] : ? [v104] : ((v104 = 0 & ord_less_eq(v99, v102, v103) = 0 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102) | ( ~ (v102 = 0) & linordered_idom(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number_ring(v99) = 0) | ~ (ord_less(int, v100, v101) = 0) | ? [v102] : ? [v103] : ? [v104] : ((v104 = 0 & ord_less(v99, v102, v103) = 0 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102) | ( ~ (v102 = 0) & linordered_idom(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (power_power(v99, v100, v33) = v101) | ~ (comm_semiring_1(v99) = 0) | times_times(v99, v100, v100) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (power_power(v99, v100, v31) = v101) | ~ (monoid_mult(v99) = 0) | times_times(v99, v100, v100) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (power_power(v99, v100, v10) = v101) | ~ (comm_semiring_1(v99) = 0) | ti(v99, v100) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (ord_less_eq(int, v101, v100) = 0) | ~ (plus_plus(int, v99, v6) = v101) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ( ~ (ord_less_eq(int, v101, v99) = 0) | ~ (ord_less_eq(int, v100, v101) = 0) | ord_less_eq(int, v100, v99) = 0) & ! [v99] : ! [v100] : ! [v101] : ( ~ (ord_less(int, v99, v101) = 0) | ~ (plus_plus(int, v100, v6) = v101) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number(v99) = 0) | ~ (number_number_of(v99, v100) = v101) | ? [v102] : ? [v103] : ((v103 = v102 & power_power(v99, v101, v41) = v102 & times_times(v99, v101, v101) = v102) | ( ~ (v102 = 0) & monoid_mult(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number_number_of(v100, v99) = v101) | ? [v102] : ? [v103] : ? [v104] : (number(v100) = v102 & number_number_of(v100, v103) = v104 & ti(int, v99) = v103 & ( ~ (v102 = 0) | v104 = v101))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number_number_of(v100, v99) = v101) | ? [v102] : ? [v103] : (number(v100) = v102 & ti(v100, v101) = v103 & ( ~ (v102 = 0) | v103 = v101))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (number_number_of(v99, v100) = v101) | ~ (monoid_mult(v99) = 0) | ? [v102] : ? [v103] : ((v103 = v102 & power_power(v99, v101, v41) = v102 & times_times(v99, v101, v101) = v102) | ( ~ (v102 = 0) & number(v99) = v102))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (monoid_mult(v99) = 0) | ~ (times_times(v99, v100, v100) = v101) | power_power(v99, v100, v31) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (times_times(v99, v100, v100) = v101) | ~ (comm_semiring_1(v99) = 0) | power_power(v99, v100, v33) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (times_times(int, v100, v99) = v101) | times_times(int, v99, v100) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (times_times(int, v100, v99) = v101) | ? [v102] : ? [v103] : ? [v104] : (twoSqu33214720sum2sq(v101) = v104 & twoSqu33214720sum2sq(v100) = v102 & twoSqu33214720sum2sq(v99) = v103 & ( ~ (v103 = 0) | ~ (v102 = 0) | v104 = 0))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (times_times(int, v99, v100) = v101) | times_times(int, v100, v99) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (comm_semiring_1(v99) = 0) | ~ (ti(v99, v100) = v101) | power_power(v99, v100, v10) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (plus_plus(int, v100, v99) = v101) | plus_plus(int, v99, v100) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (plus_plus(int, v100, v99) = v101) | ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : (ord_less(int, v100, pls) = v102 & ord_less(int, v99, pls) = v103 & number_number_of(nat, v101) = v107 & number_number_of(nat, v100) = v104 & number_number_of(nat, v99) = v105 & plus_plus(nat, v104, v105) = v106 & (v102 = 0 | (( ~ (v103 = 0) | v106 = v104) & (v107 = v106 | v103 = 0))))) & ! [v99] : ! [v100] : ! [v101] : ( ~ (plus_plus(int, v99, v100) = v101) | plus_plus(int, v100, v99) = v101) & ! [v99] : ! [v100] : ! [v101] : ( ~ (plus_plus(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : (power_power(int, v101, v45) = v102 & power_power(int, v100, v48) = v109 & power_power(int, v100, v45) = v112 & power_power(int, v99, v48) = v104 & power_power(int, v99, v45) = v103 & times_times(int, v108, v109) = v110 & times_times(int, v105, v100) = v106 & times_times(int, v46, v104) = v105 & times_times(int, v46, v99) = v108 & plus_plus(int, v111, v112) = v102 & plus_plus(int, v107, v110) = v111 & plus_plus(int, v103, v106) = v107)) & ! [v99] : ! [v100] : ! [v101] : ( ~ (plus_plus(int, v99, v100) = v101) | ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : (power_power(int, v101, v50) = v102 & power_power(int, v100, v50) = v107 & power_power(int, v99, v50) = v103 & times_times(int, v104, v100) = v105 & times_times(int, v51, v99) = v104 & plus_plus(int, v106, v107) = v102 & plus_plus(int, v103, v105) = v106)) & ! [v99] : ! [v100] : ! [v101] : ( ~ (ti(v99, v100) = v101) | ti(v99, v101) = v101) & ! [v99] : ! [v100] : (v100 = v99 | ~ (ord_less_eq(int, v100, v99) = 0) | ? [v101] : ( ~ (v101 = 0) & ord_less_eq(int, v99, v100) = v101)) & ! [v99] : ! [v100] : (v100 = v99 | ~ (ord_less_eq(int, v99, v100) = 0) | ord_less(int, v99, v100) = 0) & ! [v99] : ! [v100] : (v100 = v99 | ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ( ~ (v101 = 0) & ord_less_eq(int, v100, v99) = v101)) & ! [v99] : ! [v100] : (v100 = v99 | ~ (number_number_of(int, v99) = v100)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (twoSqu33214720sum2sq(v99) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & twoSqu33214720sum2sq(v101) = v102 & ti(int, v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less_eq(int, v99, v99) = v100)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less_eq(int, pls, v99) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less_eq(int, pls, v101) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less_eq(int, pls, v99) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less(int, pls, v101) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less(int, v99, pls) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less_eq(int, v101, pls) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less(int, v99, pls) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less(int, v101, pls) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less(int, v99, pls) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less(int, v101, pls) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (ord_less(int, pls, v99) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & ord_less(int, pls, v101) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : (v100 = 0 | ~ (zprime(v99) = v100) | ? [v101] : ? [v102] : ( ~ (v102 = 0) & zprime(v101) = v102 & ti(int, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (power_power(int, v99, v39) = v100) | ? [v101] : (power_power(int, v99, v37) = v101 & times_times(int, v99, v101) = v100)) & ! [v99] : ! [v100] : ( ~ (power_power(int, v99, v37) = v100) | ? [v101] : (power_power(int, v99, v39) = v101 & times_times(int, v99, v100) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less_eq(int, v101, v102) = 0 & number_number_of(int, v100) = v102 & number_number_of(int, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less_eq(int, v101, v102) = 0 & bit1(v100) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less_eq(int, v101, v102) = 0 & bit1(v100) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less_eq(int, v101, v102) = 0 & bit0(v100) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less(int, v101, v102) = 0 & bit1(v100) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v100) = 0) | ? [v101] : (ord_less(int, v99, v101) = 0 & plus_plus(int, v100, v6) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less_eq(int, v99, v99) = v100) | ? [v101] : ( ~ (v101 = 0) & ord_less(int, v99, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ord_less_eq(int, v99, v100) = 0) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less_eq(int, v101, v102) = 0 & bit1(v99) = v101 & bit0(v100) = v102)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less(int, v101, v102) = 0 & number_number_of(int, v100) = v102 & number_number_of(int, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less(int, v101, v102) = 0 & bit1(v100) = v102 & bit1(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less(int, v101, v102) = 0 & bit1(v99) = v101 & bit0(v100) = v102)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : ? [v102] : (ord_less(int, v101, v102) = 0 & bit0(v100) = v102 & bit0(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ord_less(int, v99, v100) = 0) | ? [v101] : (ord_less_eq(int, v101, v100) = 0 & plus_plus(int, v99, v6) = v101)) & ! [v99] : ! [v100] : ( ~ (number_number_of(v99, v27) = v100) | ? [v101] : ? [v102] : ? [v103] : (number_ring(v99) = v101 & plus_plus(v99, v102, v102) = v103 & one_one(v99) = v102 & ( ~ (v101 = 0) | v103 = v100))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ti(int, v100) = v100) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, v100, pls) = v102 & ord_less(int, v99, pls) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, v100, pls) = v101 & ord_less(int, v99, pls) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, pls, v100) = v102 & ord_less_eq(int, pls, v99) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, pls, v100) = v101 & ord_less_eq(int, pls, v99) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, pls, v99) = v102 & ord_less(int, pls, v100) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less_eq(int, pls, v99) = v101 & ord_less(int, pls, v100) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, v100, pls) = v102 & ord_less(int, v99, pls) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, v100, pls) = v101 & ord_less(int, v99, pls) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit1(v99) = v100) | ? [v101] : (bit1(v101) = v100 & ti(int, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ti(int, v100) = v100) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, v100, pls) = v102 & ord_less(int, v99, pls) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, v100, pls) = v101 & ord_less(int, v99, pls) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, pls, v100) = v102 & ord_less(int, pls, v99) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ? [v101] : ? [v102] : (ord_less(int, pls, v100) = v101 & ord_less(int, pls, v99) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (bit0(v99) = v100) | ? [v101] : (bit0(v101) = v100 & ti(int, v99) = v101)) & ! [v99] : ! [v100] : ( ~ (undefined(v99) = v100) | ti(v99, v100) = v100) & ! [v99] : ! [v100] : ( ~ (times_times(nat, v99, v15) = v100) | plus_plus(nat, v99, v99) = v100) & ! [v99] : ! [v100] : ( ~ (times_times(nat, v17, v99) = v100) | plus_plus(nat, v99, v99) = v100) & ! [v99] : ! [v100] : ( ~ (plus_plus(nat, v99, v99) = v100) | times_times(nat, v99, v15) = v100) & ! [v99] : ! [v100] : ( ~ (plus_plus(nat, v99, v99) = v100) | times_times(nat, v17, v99) = v100) & ! [v99] : ! [v100] : ( ~ (one_one(v99) = v100) | ? [v101] : ? [v102] : ? [v103] : (number_ring(v99) = v101 & number_number_of(v99, v27) = v103 & plus_plus(v99, v100, v100) = v102 & ( ~ (v101 = 0) | v103 = v102))) & ! [v99] : ! [v100] : ( ~ (one_one(v99) = v100) | ? [v101] : ? [v102] : (power_power(v99, v100, v35) = v102 & semiring_1(v99) = v101 & ( ~ (v101 = 0) | v102 = v100))) & ! [v99] : ! [v100] : ( ~ (one_one(v99) = v100) | ? [v101] : ? [v102] : (semiring_1(v99) = v101 & ti(v99, v100) = v102 & ( ~ (v101 = 0) | v102 = v100))) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : ? [v102] : (twoSqu33214720sum2sq(v100) = v102 & twoSqu33214720sum2sq(v99) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : ? [v102] : (twoSqu33214720sum2sq(v100) = v101 & twoSqu33214720sum2sq(v99) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : ? [v102] : (zprime(v100) = v102 & zprime(v99) = v101 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : ? [v102] : (zprime(v100) = v101 & zprime(v99) = v102 & ( ~ (v101 = 0) | v102 = 0))) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : (bit1(v100) = v101 & bit1(v99) = v101)) & ! [v99] : ! [v100] : ( ~ (ti(int, v99) = v100) | ? [v101] : (bit0(v100) = v101 & bit0(v99) = v101)) & ! [v99] : ( ~ (number_ring(v99) = 0) | ? [v100] : ? [v101] : (number_number_of(v99, v27) = v101 & plus_plus(v99, v100, v100) = v101 & one_one(v99) = v100)) & ! [v99] : ( ~ (number_ring(v99) = 0) | ? [v100] : (one_one(v99) = v100 & ! [v101] : ! [v102] : ( ~ (number_number_of(v99, v101) = v102) | ? [v103] : ? [v104] : (number_number_of(v99, v104) = v103 & plus_plus(v99, v102, v100) = v103 & plus_plus(int, v101, v0) = v104)) & ! [v101] : ! [v102] : ( ~ (plus_plus(int, v101, v0) = v102) | ? [v103] : ? [v104] : (number_number_of(v99, v102) = v104 & number_number_of(v99, v101) = v103 & plus_plus(v99, v103, v100) = v104)))) & ! [v99] : ( ~ (number_ring(v99) = 0) | ? [v100] : (one_one(v99) = v100 & ! [v101] : ! [v102] : ( ~ (number_number_of(v99, v101) = v102) | ? [v103] : ? [v104] : (number_number_of(v99, v104) = v103 & plus_plus(v99, v100, v102) = v103 & plus_plus(int, v0, v101) = v104)) & ! [v101] : ! [v102] : ( ~ (plus_plus(int, v0, v101) = v102) | ? [v103] : ? [v104] : (number_number_of(v99, v102) = v104 & number_number_of(v99, v101) = v103 & plus_plus(v99, v100, v103) = v104)))) & ! [v99] : ( ~ (number_semiring(v99) = 0) | ? [v100] : (number_number_of(v99, v42) = v100 & ! [v101] : ! [v102] : ! [v103] : ! [v104] : ! [v105] : ( ~ (power_power(v99, v102, v43) = v104) | ~ (power_power(v99, v101, v43) = v103) | ~ (plus_plus(v99, v103, v104) = v105) | ? [v106] : ? [v107] : ? [v108] : ? [v109] : (power_power(v99, v106, v43) = v107 & times_times(v99, v108, v102) = v109 & times_times(v99, v100, v101) = v108 & plus_plus(v99, v105, v109) = v107 & plus_plus(v99, v101, v102) = v106)) & ! [v101] : ! [v102] : ! [v103] : ! [v104] : ( ~ (times_times(v99, v103, v102) = v104) | ~ (times_times(v99, v100, v101) = v103) | ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : (power_power(v99, v105, v43) = v106 & power_power(v99, v102, v43) = v108 & power_power(v99, v101, v43) = v107 & plus_plus(v99, v109, v104) = v106 & plus_plus(v99, v107, v108) = v109 & plus_plus(v99, v101, v102) = v105)) & ! [v101] : ! [v102] : ! [v103] : ( ~ (plus_plus(v99, v101, v102) = v103) | ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : (power_power(v99, v103, v43) = v104 & power_power(v99, v102, v43) = v106 & power_power(v99, v101, v43) = v105 & times_times(v99, v108, v102) = v109 & times_times(v99, v100, v101) = v108 & plus_plus(v99, v107, v109) = v104 & plus_plus(v99, v105, v106) = v107)))) & ! [v99] : ( ~ (twoSqu33214720sum2sq(v99) = 0) | ? [v100] : (twoSqu33214720sum2sq(v100) = 0 & ti(int, v99) = v100)) & ! [v99] : ( ~ (ord_less_eq(int, pls, v99) = 0) | ? [v100] : (ord_less_eq(int, pls, v100) = 0 & bit1(v99) = v100)) & ! [v99] : ( ~ (ord_less_eq(int, pls, v99) = 0) | ? [v100] : (ord_less(int, pls, v100) = 0 & bit1(v99) = v100)) & ! [v99] : ~ (ord_less(int, v99, v99) = 0) & ! [v99] : ( ~ (ord_less(int, v99, pls) = 0) | ? [v100] : (ord_less_eq(int, v100, pls) = 0 & bit1(v99) = v100)) & ! [v99] : ( ~ (ord_less(int, v99, pls) = 0) | ? [v100] : (ord_less(int, v100, pls) = 0 & bit1(v99) = v100)) & ! [v99] : ( ~ (ord_less(int, v99, pls) = 0) | ? [v100] : (ord_less(int, v100, pls) = 0 & bit0(v99) = v100)) & ! [v99] : ( ~ (ord_less(int, pls, v99) = 0) | ? [v100] : (ord_less(int, pls, v100) = 0 & bit0(v99) = v100)) & ! [v99] : ( ~ (zprime(v99) = 0) | ? [v100] : (zprime(v100) = 0 & ti(int, v99) = v100)) & ! [v99] : ( ~ (semiring_1(v99) = 0) | ? [v100] : (power_power(v99, v100, v35) = v100 & one_one(v99) = v100)) & ! [v99] : ( ~ (semiring_1(v99) = 0) | ? [v100] : (one_one(v99) = v100 & ti(v99, v100) = v100)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : (ord_less_eq(v101, v99, v104) = v105 & ord_less_eq(v101, v99, v100) = v106 & linorder(v101) = v103 & number(v101) = v102 & ti(v101, v100) = v104 & ( ~ (v103 = 0) | ~ (v102 = 0) | (( ~ (v106 = 0) | v105 = 0) & ( ~ (v105 = 0) | v106 = 0)))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : (linorder(v101) = v103 & ord_less(v101, v99, v104) = v105 & ord_less(v101, v99, v100) = v106 & number(v101) = v102 & ti(v101, v100) = v104 & ( ~ (v103 = 0) | ~ (v102 = 0) | (( ~ (v106 = 0) | v105 = 0) & ( ~ (v105 = 0) | v106 = 0)))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ((linordered_idom(v99) = v103 & number_ring(v99) = v102 & ( ~ (v103 = 0) | ~ (v102 = 0))) | (ord_less_eq(v99, v103, v104) = v105 & ord_less_eq(int, v100, v101) = v102 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103 & ( ~ (v102 = 0) | v105 = 0))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ((linordered_idom(v99) = v103 & number_ring(v99) = v102 & ( ~ (v103 = 0) | ~ (v102 = 0))) | (ord_less_eq(v99, v102, v103) = v104 & ord_less_eq(int, v100, v101) = v105 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102 & ( ~ (v104 = 0) | v105 = 0))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ((linordered_idom(v99) = v103 & number_ring(v99) = v102 & ( ~ (v103 = 0) | ~ (v102 = 0))) | (ord_less(v99, v103, v104) = v105 & ord_less(int, v100, v101) = v102 & number_number_of(v99, v101) = v104 & number_number_of(v99, v100) = v103 & ( ~ (v102 = 0) | v105 = 0))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ((linordered_idom(v99) = v103 & number_ring(v99) = v102 & ( ~ (v103 = 0) | ~ (v102 = 0))) | (ord_less(v99, v102, v103) = v104 & ord_less(int, v100, v101) = v105 & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102 & ( ~ (v104 = 0) | v105 = 0))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : (twoSqu33214720sum2sq(v103) = v104 & twoSqu33214720sum2sq(v100) = v101 & twoSqu33214720sum2sq(v99) = v102 & times_times(int, v100, v99) = v103 & ( ~ (v102 = 0) | ~ (v101 = 0) | v104 = 0)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : (power_power(v101, v99, v100) = v103 & monoid_mult(v101) = v102 & ti(v101, v103) = v104 & ( ~ (v102 = 0) | v104 = v103)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : (ord_less_eq(int, v102, v103) = v104 & ord_less_eq(int, v99, v100) = v101 & bit1(v100) = v103 & bit0(v99) = v102 & ( ~ (v101 = 0) | v104 = 0)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : (monoid_mult(v101) = v102 & times_times(v101, v99, v100) = v103 & ti(v101, v103) = v104 & ( ~ (v102 = 0) | v104 = v103)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : (comm_semiring_1(v101) = v102 & plus_plus(v101, v99, v100) = v103 & ti(v101, v103) = v104 & ( ~ (v102 = 0) | v104 = v103)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : (number_ring(v99) = v100 & number_number_of(v99, v27) = v103 & plus_plus(v99, v101, v101) = v102 & one_one(v99) = v101 & ( ~ (v100 = 0) | v103 = v102)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : (number(v100) = v101 & number_number_of(v100, v99) = v102 & ti(v100, v102) = v103 & ( ~ (v101 = 0) | v103 = v102)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : ((v102 = v101 & number_number_of(v99, v100) = v101) | (ring_char_0(v99) = v102 & number_ring(v99) = v101 & ( ~ (v102 = 0) | ~ (v101 = 0)))) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : (power_power(v99, v101, v35) = v102 & semiring_1(v99) = v100 & one_one(v99) = v101 & ( ~ (v100 = 0) | v102 = v101)) & ? [v99] : ? [v100] : ? [v101] : ? [v102] : (zprime(v101) = v102 & zprime(v99) = v100 & ti(int, v99) = v101 & ( ~ (v100 = 0) | v102 = 0)) & ? [v99] : ? [v100] : ? [v101] : (v101 = v100 | ? [v102] : ? [v103] : (( ~ (v103 = v102) & number_number_of(v99, v101) = v103 & number_number_of(v99, v100) = v102) | (ring_char_0(v99) = v103 & number_ring(v99) = v102 & ( ~ (v103 = 0) | ~ (v102 = 0))))) & ? [v99] : ? [v100] : ? [v101] : (number_semiring(v99) = v100 & number_number_of(v99, v42) = v101 & ( ~ (v100 = 0) | ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : (power_power(v99, v104, v43) = v105 & power_power(v99, v103, v43) = v107 & power_power(v99, v102, v43) = v106 & times_times(v99, v109, v103) = v110 & times_times(v99, v101, v102) = v109 & plus_plus(v99, v108, v110) = v105 & plus_plus(v99, v106, v107) = v108 & plus_plus(v99, v102, v103) = v104))) & ? [v99] : ? [v100] : (undefined(v99) = v100 & ti(v99, v100) = v100) & ( ~ (v76 = 0) | (v87 = v82 & power_power(int, v84, v78) = v86 & power_power(int, v83, v78) = v85 & plus_plus(int, v85, v86) = v82)) & ( ~ (v6 = t) | (v98 = v93 & power_power(int, v95, v89) = v97 & power_power(int, v94, v89) = v96 & plus_plus(int, v96, v97) = v93))) % 144.99/94.28 | 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, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98 yields: % 144.99/94.28 | (1) ~ (all_0_87_87 = 0) & ring_char_0(int) = 0 & linordered_idom(int) = 0 & number_ring(int) = 0 & number_semiring(nat) = 0 & number_semiring(int) = 0 & twoSqu33214720sum2sq(all_0_41_41) = 0 & power_power(int, s, all_0_39_39) = all_0_38_38 & power_power(int, s, all_0_79_79) = all_0_78_78 & ord_less_eq(int, all_0_92_92, t) = 0 & ord_less_eq(int, pls, pls) = 0 & linorder(nat) = 0 & linorder(int) = 0 & ord_less(int, all_0_92_92, t) = all_0_22_22 & ord_less(int, t, all_0_23_23) = 0 & ord_less(int, pls, pls) = all_0_87_87 & number(nat) = 0 & number(int) = 0 & number_number_of(nat, all_0_10_10) = all_0_9_9 & number_number_of(nat, all_0_21_21) = all_0_20_20 & number_number_of(nat, all_0_40_40) = all_0_39_39 & number_number_of(nat, all_0_49_49) = all_0_48_48 & number_number_of(nat, all_0_51_51) = all_0_50_50 & number_number_of(nat, all_0_54_54) = all_0_53_53 & number_number_of(nat, all_0_56_56) = all_0_55_55 & number_number_of(nat, all_0_58_58) = all_0_57_57 & number_number_of(nat, all_0_60_60) = all_0_59_59 & number_number_of(nat, all_0_62_62) = all_0_61_61 & number_number_of(nat, all_0_64_64) = all_0_63_63 & number_number_of(nat, all_0_66_66) = all_0_65_65 & number_number_of(nat, all_0_68_68) = all_0_67_67 & number_number_of(nat, all_0_70_70) = all_0_69_69 & number_number_of(nat, all_0_80_80) = all_0_79_79 & number_number_of(nat, all_0_82_82) = all_0_81_81 & number_number_of(nat, all_0_84_84) = all_0_83_83 & number_number_of(nat, all_0_85_85) = all_0_86_86 & number_number_of(nat, all_0_97_97) = all_0_96_96 & number_number_of(nat, all_0_98_98) = all_0_88_88 & number_number_of(int, all_0_8_8) = all_0_7_7 & number_number_of(int, all_0_19_19) = all_0_18_18 & number_number_of(int, all_0_26_26) = all_0_25_25 & number_number_of(int, all_0_31_31) = all_0_30_30 & number_number_of(int, all_0_36_36) = all_0_35_35 & number_number_of(int, all_0_45_45) = all_0_44_44 & number_number_of(int, all_0_49_49) = all_0_47_47 & number_number_of(int, all_0_54_54) = all_0_52_52 & number_number_of(int, all_0_76_76) = all_0_75_75 & number_number_of(int, all_0_90_90) = all_0_89_89 & number_number_of(int, all_0_95_95) = all_0_94_94 & bit1(all_0_98_98) = all_0_54_54 & bit1(all_0_98_98) = all_0_60_60 & bit1(pls) = all_0_98_98 & bit0(all_0_10_10) = all_0_8_8 & bit0(all_0_21_21) = all_0_19_19 & bit0(all_0_27_27) = all_0_26_26 & bit0(all_0_32_32) = all_0_31_31 & bit0(all_0_40_40) = all_0_36_36 & bit0(all_0_46_46) = all_0_45_45 & bit0(all_0_80_80) = all_0_76_76 & bit0(all_0_97_97) = all_0_95_95 & bit0(all_0_98_98) = all_0_10_10 & bit0(all_0_98_98) = all_0_21_21 & bit0(all_0_98_98) = all_0_27_27 & bit0(all_0_98_98) = all_0_32_32 & bit0(all_0_98_98) = all_0_40_40 & bit0(all_0_98_98) = all_0_46_46 & bit0(all_0_98_98) = all_0_49_49 & bit0(all_0_98_98) = all_0_51_51 & bit0(all_0_98_98) = all_0_56_56 & bit0(all_0_98_98) = all_0_58_58 & bit0(all_0_98_98) = all_0_62_62 & bit0(all_0_98_98) = all_0_64_64 & bit0(all_0_98_98) = all_0_66_66 & bit0(all_0_98_98) = all_0_68_68 & bit0(all_0_98_98) = all_0_70_70 & bit0(all_0_98_98) = all_0_71_71 & bit0(all_0_98_98) = all_0_80_80 & bit0(all_0_98_98) = all_0_82_82 & bit0(all_0_98_98) = all_0_84_84 & bit0(all_0_98_98) = all_0_85_85 & bit0(all_0_98_98) = all_0_90_90 & bit0(all_0_98_98) = all_0_97_97 & zprime(all_0_28_28) = 0 & zprime(all_0_89_89) = 0 & monoid_mult(nat) = 0 & monoid_mult(int) = 0 & times_times(int, all_0_7_7, m) = all_0_6_6 & times_times(int, all_0_18_18, m) = all_0_17_17 & times_times(int, all_0_25_25, m) = all_0_24_24 & times_times(int, all_0_30_30, m) = all_0_29_29 & times_times(int, all_0_33_33, t) = all_0_37_37 & times_times(int, all_0_35_35, m) = all_0_34_34 & times_times(int, all_0_42_42, t) = all_0_41_41 & times_times(int, all_0_44_44, m) = all_0_43_43 & times_times(int, all_0_73_73, all_0_72_72) = all_0_77_77 & times_times(int, all_0_75_75, m) = all_0_74_74 & times_times(int, all_0_94_94, m) = all_0_93_93 & comm_semiring_1(nat) = 0 & comm_semiring_1(int) = 0 & plus_plus(nat, all_0_88_88, all_0_88_88) = all_0_86_86 & plus_plus(int, all_0_6_6, all_0_92_92) = all_0_5_5 & plus_plus(int, all_0_17_17, all_0_92_92) = all_0_16_16 & plus_plus(int, all_0_24_24, all_0_92_92) = all_0_23_23 & plus_plus(int, all_0_29_29, all_0_92_92) = all_0_28_28 & plus_plus(int, all_0_34_34, all_0_92_92) = all_0_33_33 & plus_plus(int, all_0_38_38, all_0_92_92) = all_0_37_37 & plus_plus(int, all_0_43_43, all_0_92_92) = all_0_42_42 & plus_plus(int, all_0_74_74, all_0_92_92) = all_0_73_73 & plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77 & plus_plus(int, all_0_93_93, all_0_92_92) = all_0_91_91 & semiring_1(nat) = 0 & semiring_1(int) = 0 & one_one(nat) = all_0_88_88 & one_one(int) = all_0_92_92 & ti(int, t) = t & ti(int, s) = s & ti(int, m) = m & ti(int, pls) = pls & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : ? [v9] : (times_times(v0, v8, v9) = v7 & times_times(v0, v2, v4) = v9 & times_times(v0, v1, v3) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v5, v4) = v8 & times_times(v0, v3, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v2, v6) = v8 & times_times(v0, v1, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v2, v4) = v6) | ~ (times_times(v0, v1, v3) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : ? [v9] : (times_times(v0, v8, v9) = v7 & times_times(v0, v3, v4) = v9 & times_times(v0, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v4) = v6) | ~ (times_times(v0, v3, v6) = v7) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v5, v8) = v7 & times_times(v0, v3, v4) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v3, v4) = v5) | ~ (times_times(v0, v2, v5) = v6) | ~ (times_times(v0, v1, v6) = v7) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v8, v5) = v7 & times_times(v0, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v5, v6) = v7) | ~ (plus_plus(v0, v3, v4) = v6) | ~ (plus_plus(v0, v1, v2) = v5) | ? [v8] : ? [v9] : (plus_plus(v0, v8, v9) = v7 & plus_plus(v0, v2, v4) = v9 & plus_plus(v0, v1, v3) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v5, v6) = v7) | ~ (plus_plus(v0, v2, v4) = v6) | ~ (plus_plus(v0, v1, v3) = v5) | ? [v8] : ? [v9] : (plus_plus(v0, v8, v9) = v7 & plus_plus(v0, v3, v4) = v9 & plus_plus(v0, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (ord_less(int, v4, v5) = v6) | ~ (plus_plus(int, v3, v1) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ? [v7] : ? [v8] : (ord_less_eq(int, v0, v1) = v8 & ord_less(int, v2, v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_55_55) = v5) | ~ (power_power(v0, v2, all_0_55_55) = v4) | ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & power_power(v0, v7, all_0_55_55) = v8 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v6, v10) = v8 & plus_plus(v0, v2, v3) = v7) | ( ~ (v7 = 0) & number_semiring(v0) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v1, v3) = v5) | ~ (power_power(v0, v1, v2) = v4) | ~ (times_times(v0, v4, v5) = v6) | ~ (comm_semiring_1(v0) = 0) | ? [v7] : (power_power(v0, v1, v7) = v6 & plus_plus(nat, v2, v3) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & number_ring(v0) = v6) | ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & number_ring(v0) = v6) | ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & linordered_idom(v0) = v6) | ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & linordered_idom(v0) = v6) | ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(v0, v4, v3) = v5) | ~ (linorder(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less(v0, v3, v4) = 0) | ( ~ (v6 = 0) & number(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(v0, v4, v3) = v5) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less(v0, v3, v4) = 0) | ( ~ (v6 = 0) & linorder(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(int, v3, v4) = v5) | ~ (plus_plus(int, v0, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linorder(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less_eq(v0, v4, v3) = 0) | ( ~ (v6 = 0) & number(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less(v0, v3, v4) = v5) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less_eq(v0, v4, v3) = 0) | ( ~ (v6 = 0) & linorder(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less(int, v3, v4) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ~ (plus_plus(int, v1, v0) = v3) | ? [v6] : ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v4, v3) = v5) | ~ (power_power(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (power_power(v0, v1, v6) = v5 & times_times(nat, v2, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v1, v4) = v5) | ~ (times_times(nat, v2, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (power_power(v0, v6, v3) = v5 & power_power(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v6] : ? [v7] : (power_power(v0, v1, v3) = v7 & power_power(v0, v1, v2) = v6 & times_times(v0, v6, v7) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(int, v0, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ~ (times_times(int, v3, v4) = v5) | ? [v6] : (power_power(int, v0, v6) = v5 & plus_plus(nat, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v7 & power_power(v0, v6, all_0_55_55) = v7 & power_power(v0, v3, all_0_55_55) = v9 & power_power(v0, v2, all_0_55_55) = v8 & plus_plus(v0, v10, v5) = v7 & plus_plus(v0, v8, v9) = v10 & plus_plus(v0, v2, v3) = v6) | ( ~ (v6 = 0) & number_semiring(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v2) = v5 & times_times(v0, v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v3) = v6 & times_times(v0, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v2) = v5) | ~ (times_times(v0, v1, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v3) = v5 & times_times(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v4) = v5) | ~ (times_times(v0, v1, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v3) = v6 & times_times(v0, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v3) = v4) | ~ (times_times(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v3) = v5 & times_times(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v3) = v4) | ~ (times_times(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v6) = v5 & times_times(v0, v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v3) = v5) | ~ (plus_plus(v0, v1, v2) = v4) | ? [v6] : (plus_plus(v0, v6, v2) = v5 & plus_plus(v0, v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v3) = v5) | ~ (plus_plus(v0, v1, v2) = v4) | ? [v6] : (plus_plus(v0, v2, v3) = v6 & plus_plus(v0, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v2) = v5) | ~ (plus_plus(v0, v1, v3) = v4) | ? [v6] : (plus_plus(v0, v6, v3) = v5 & plus_plus(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v4) = v5) | ~ (plus_plus(v0, v1, v3) = v4) | ? [v6] : (plus_plus(v0, v2, v3) = v6 & plus_plus(v0, v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v3) = v4) | ~ (plus_plus(v0, v1, v4) = v5) | ? [v6] : (plus_plus(v0, v6, v3) = v5 & plus_plus(v0, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v3) = v4) | ~ (plus_plus(v0, v1, v4) = v5) | ? [v6] : (plus_plus(v0, v2, v6) = v5 & plus_plus(v0, v1, v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v1, pls) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (power_power(v4, v3, v2) = v1) | ~ (power_power(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ord_less_eq(v4, v3, v2) = v1) | ~ (ord_less_eq(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ord_less(v4, v3, v2) = v1) | ~ (ord_less(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (times_times(v4, v3, v2) = v1) | ~ (times_times(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (plus_plus(v4, v3, v2) = v1) | ~ (plus_plus(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less_eq(int, v1, v2) = 0) | ( ~ (v5 = 0) & number_ring(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less(int, v1, v2) = 0) | ( ~ (v5 = 0) & number_ring(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_ring(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less_eq(int, v1, v2) = 0) | ( ~ (v5 = 0) & linordered_idom(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_ring(v0) = 0) | ~ (ord_less(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less(int, v1, v2) = 0) | ( ~ (v5 = 0) & linordered_idom(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (power_power(v2, v0, v1) = v6 & monoid_mult(v2) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ? [v5] : ? [v6] : (power_power(v2, v0, v1) = v6 & monoid_mult(v2) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v0, v1, v3) = v4) | ~ (times_times(nat, all_0_69_69, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | ? [v5] : (power_power(v0, v1, v2) = v5 & times_times(v0, v5, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v3, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ? [v5] : (power_power(int, v0, v5) = v4 & times_times(nat, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v1, all_0_50_50) = v3) | ~ (times_times(int, v2, v3) = v4) | ~ (times_times(int, all_0_52_52, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v5, all_0_53_53) = v6 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_50_50) = v8 & power_power(int, v0, all_0_53_53) = v7 & times_times(int, v9, v1) = v10 & times_times(int, all_0_52_52, v8) = v9 & plus_plus(int, v12, v13) = v6 & plus_plus(int, v11, v4) = v12 & plus_plus(int, v7, v10) = v11 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (times_times(nat, v1, v2) = v3) | ? [v5] : (power_power(int, v5, v2) = v4 & power_power(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (plus_plus(nat, v1, v2) = v3) | ? [v5] : ? [v6] : (power_power(int, v0, v2) = v6 & power_power(int, v0, v1) = v5 & times_times(int, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, all_0_50_50) = v2) | ~ (times_times(int, v3, v1) = v4) | ~ (times_times(int, all_0_52_52, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v5, all_0_53_53) = v6 & power_power(int, v1, all_0_50_50) = v10 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_53_53) = v7 & times_times(int, v9, v10) = v11 & times_times(int, all_0_52_52, v0) = v9 & plus_plus(int, v12, v13) = v6 & plus_plus(int, v8, v11) = v12 & plus_plus(int, v7, v4) = v8 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v6 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v6 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (linorder(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less(v0, v4, v3) = v5) | ( ~ (v5 = 0) & number(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & linorder(v0) = v5) | ( ~ (v5 = 0) & ord_less(v0, v4, v3) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linorder(v0) = 0) | ~ (ord_less(v0, v4, v3) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less_eq(v0, v3, v4) = v5) | ( ~ (v5 = 0) & number(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v0, v4, v3) = 0) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less_eq(v0, v3, v4) = v5) | ( ~ (v5 = 0) & linorder(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (plus_plus(v0, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & power_power(v0, v4, all_0_55_55) = v5 & power_power(v0, v3, all_0_55_55) = v7 & power_power(v0, v2, all_0_55_55) = v6 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v8, v10) = v5 & plus_plus(v0, v6, v7) = v8) | ( ~ (v5 = 0) & number_semiring(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ord_less(int, v1, pls) = v5 & ord_less(int, v0, pls) = v6 & number_number_of(nat, v7) = v8 & plus_plus(int, v1, v0) = v7 & (v5 = 0 | (( ~ (v6 = 0) | v4 = v2) & (v8 = v4 | v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (monoid_mult(v2) = v5 & times_times(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : (monoid_mult(v2) = v5 & times_times(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ? [v5] : (times_times(int, v1, v2) = v5 & times_times(int, v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v1, v2) = v3) | ~ (times_times(int, v0, v3) = v4) | ? [v5] : (times_times(int, v5, v2) = v4 & times_times(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (comm_semiring_1(v2) = v5 & plus_plus(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : (comm_semiring_1(v2) = v5 & plus_plus(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v3, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v3) = v4) | ~ (plus_plus(int, v0, v2) = v3) | ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) | ~ (plus_plus(int, v0, v3) = v4) | ? [v5] : (plus_plus(int, v5, v2) = v4 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) | ~ (plus_plus(int, v0, v3) = v4) | ? [v5] : (plus_plus(int, v1, v5) = v4 & plus_plus(int, v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (ring_char_0(v0) = 0) | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ? [v4] : ( ~ (v4 = 0) & number_ring(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_ring(v0) = 0) | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ? [v4] : ( ~ (v4 = 0) & ring_char_0(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less_eq(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less_eq(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & linordered_idom(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & linordered_idom(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v2, v1) = v3) | ~ (plus_plus(int, v0, all_0_92_92) = v2) | ? [v4] : ( ~ (v4 = 0) & ord_less(int, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v2, v0) = 0) | ~ (ord_less_eq(int, v1, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v1, v2) = 0) | ~ (ord_less_eq(int, v1, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less(int, v0, v2) = v3) | ~ (plus_plus(int, v1, all_0_92_92) = v2) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (ring_char_0(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & number_ring(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (number_ring(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & ring_char_0(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (number_number_of(v3, v2) = v1) | ~ (number_number_of(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ti(v3, v2) = v1) | ~ (ti(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (power_power(v2, v5, v1) = v6 & monoid_mult(v2) = v4 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (power_power(v2, v0, v5) = v6 & monoid_mult(v2) = v4 & ti(nat, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (monoid_mult(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v1, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | ? [v4] : ? [v5] : (power_power(v0, v1, v4) = v5 & times_times(v0, v3, v3) = v5 & times_times(nat, all_0_69_69, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(int, v1, all_0_96_96) = v3) | ~ (power_power(int, v0, all_0_96_96) = v2) | ~ (plus_plus(int, v2, v3) = all_0_91_91)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v6, v1) = v7 & linorder(v2) = v5 & number(v2) = v4 & ti(v2, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v6) = v7 & linorder(v2) = v5 & number(v2) = v4 & ti(v2, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v5 & ord_less(v2, v6, v1) = v7 & number(v2) = v4 & ti(v2, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v5 & ord_less(v2, v0, v6) = v7 & number(v2) = v4 & ti(v2, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v1, v2) = v3) | ~ (ti(int, v0) = v2) | ? [v4] : ? [v5] : (number(v1) = v4 & number_number_of(v1, v0) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v4 & number_number_of(v0, v5) = v4 & plus_plus(v0, v3, v1) = v4 & plus_plus(int, v2, all_0_98_98) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v4 & number_number_of(v0, v5) = v4 & plus_plus(v0, v1, v3) = v4 & plus_plus(int, all_0_98_98, v2) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (monoid_mult(v2) = v4 & times_times(v2, v5, v1) = v6 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (monoid_mult(v2) = v4 & times_times(v2, v0, v5) = v6 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (monoid_mult(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v0, v2, v1) = v3) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v0, v1, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v2, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(int, v2, v1) = v3) | ~ (times_times(int, all_0_47_47, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (power_power(int, v4, all_0_48_48) = v5 & power_power(int, v1, all_0_48_48) = v8 & power_power(int, v0, all_0_48_48) = v6 & plus_plus(int, v7, v8) = v5 & plus_plus(int, v6, v3) = v7 & plus_plus(int, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v1) = v3) | plus_plus(v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v1, v2) = v3) | plus_plus(v0, v2, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (comm_semiring_1(v2) = v4 & plus_plus(v2, v5, v1) = v6 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (comm_semiring_1(v2) = v4 & plus_plus(v2, v0, v5) = v6 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (comm_semiring_1(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(int, v2, all_0_98_98) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v5 & number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v4, v1) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(int, all_0_98_98, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v5 & number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v1, v4) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit1(v0) = v2) | ~ (bit1(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit0(v0) = v2) | ~ (bit0(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v1, v0) = v2) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v0, v1) = v2) | ord_less(int, v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v1, v0) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ord_less_eq(int, v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v1) = v4 & bit1(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v1) = v4 & bit0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit0(v1) = v4 & bit0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v1) = v4 & bit0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ord_less(int, v0, v3) = v4 & plus_plus(int, v1, all_0_92_92) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ord_less(int, v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v0) = v3 & bit0(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v1) = v4 & bit1(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v0) = v3 & bit0(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit0(v1) = v4 & bit0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v3, v1) = v4 & plus_plus(int, v0, all_0_92_92) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ring_char_0(v2) = v1) | ~ (ring_char_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (linordered_idom(v2) = v1) | ~ (linordered_idom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number_ring(v2) = v1) | ~ (number_ring(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number_semiring(v2) = v1) | ~ (number_semiring(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (twoSqu33214720sum2sq(v2) = v1) | ~ (twoSqu33214720sum2sq(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (linorder(v2) = v1) | ~ (linorder(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number(v2) = v1) | ~ (number(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v2) = v1) | ~ (bit1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v1) = v2) | ~ (bit1(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v2) = v1) | ~ (bit0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v1) = v2) | ~ (bit0(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (zprime(v2) = v1) | ~ (zprime(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (undefined(v2) = v1) | ~ (undefined(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (monoid_mult(v2) = v1) | ~ (monoid_mult(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (comm_semiring_1(v2) = v1) | ~ (comm_semiring_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (semiring_1(v2) = v1) | ~ (semiring_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_one(v2) = v1) | ~ (one_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less_eq(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & number_ring(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & number_ring(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_ring(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less_eq(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & linordered_idom(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_ring(v0) = 0) | ~ (ord_less(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & linordered_idom(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_65_65) = v2) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v1, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_67_67) = v2) | ~ (monoid_mult(v0) = 0) | times_times(v0, v1, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_88_88) = v2) | ~ (comm_semiring_1(v0) = 0) | ti(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less_eq(int, v2, v1) = 0) | ~ (plus_plus(int, v0, all_0_92_92) = v2) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less_eq(int, v2, v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ord_less_eq(int, v1, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less(int, v0, v2) = 0) | ~ (plus_plus(int, v1, all_0_92_92) = v2) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number(v0) = 0) | ~ (number_number_of(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = v3 & power_power(v0, v2, all_0_57_57) = v3 & times_times(v0, v2, v2) = v3) | ( ~ (v3 = 0) & monoid_mult(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (number(v1) = v3 & number_number_of(v1, v4) = v5 & ti(int, v0) = v4 & ( ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ? [v3] : ? [v4] : (number(v1) = v3 & ti(v1, v2) = v4 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v0, v1) = v2) | ~ (monoid_mult(v0) = 0) | ? [v3] : ? [v4] : ((v4 = v3 & power_power(v0, v2, all_0_57_57) = v3 & times_times(v0, v2, v2) = v3) | ( ~ (v3 = 0) & number(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (monoid_mult(v0) = 0) | ~ (times_times(v0, v1, v1) = v2) | power_power(v0, v1, all_0_67_67) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(v0, v1, v1) = v2) | ~ (comm_semiring_1(v0) = 0) | power_power(v0, v1, all_0_65_65) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v1, v0) = v2) | times_times(int, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (twoSqu33214720sum2sq(v2) = v5 & twoSqu33214720sum2sq(v1) = v3 & twoSqu33214720sum2sq(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | times_times(int, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (comm_semiring_1(v0) = 0) | ~ (ti(v0, v1) = v2) | power_power(v0, v1, all_0_88_88) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v4 & number_number_of(nat, v2) = v8 & number_number_of(nat, v1) = v5 & number_number_of(nat, v0) = v6 & plus_plus(nat, v5, v6) = v7 & (v3 = 0 | (( ~ (v4 = 0) | v7 = v5) & (v8 = v7 | v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v2, all_0_53_53) = v3 & power_power(int, v1, all_0_50_50) = v10 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_50_50) = v5 & power_power(int, v0, all_0_53_53) = v4 & times_times(int, v9, v10) = v11 & times_times(int, v6, v1) = v7 & times_times(int, all_0_52_52, v5) = v6 & times_times(int, all_0_52_52, v0) = v9 & plus_plus(int, v12, v13) = v3 & plus_plus(int, v8, v11) = v12 & plus_plus(int, v4, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (power_power(int, v2, all_0_48_48) = v3 & power_power(int, v1, all_0_48_48) = v8 & power_power(int, v0, all_0_48_48) = v4 & times_times(int, v5, v1) = v6 & times_times(int, all_0_47_47, v0) = v5 & plus_plus(int, v7, v8) = v3 & plus_plus(int, v4, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & ord_less_eq(int, v0, v1) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v0, v1) = 0) | ord_less(int, v0, v1) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & ord_less_eq(int, v1, v0) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (number_number_of(int, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (twoSqu33214720sum2sq(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & twoSqu33214720sum2sq(v2) = v3 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, pls, v2) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, pls, v2) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, v2, pls) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, v2, pls) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, v2, pls) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, pls, v2) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (zprime(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & zprime(v2) = v3 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_59_59) = v1) | ? [v2] : (power_power(int, v0, all_0_61_61) = v2 & times_times(int, v0, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_61_61) = v1) | ? [v2] : (power_power(int, v0, all_0_59_59) = v2 & times_times(int, v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & number_number_of(int, v1) = v3 & number_number_of(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v1) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v1) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit0(v1) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v1) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : (ord_less(int, v0, v2) = 0 & plus_plus(int, v1, all_0_92_92) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ord_less(int, v0, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ord_less_eq(int, v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v0) = v2 & bit0(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & number_number_of(int, v1) = v3 & number_number_of(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v1) = v3 & bit1(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v0) = v2 & bit0(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit0(v1) = v3 & bit0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : (ord_less_eq(int, v2, v1) = 0 & plus_plus(int, v0, all_0_92_92) = v2)) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_71_71) = v1) | ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v2 & plus_plus(v0, v3, v3) = v4 & one_one(v0) = v3 & ( ~ (v2 = 0) | v4 = v1))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v1) = v3 & ord_less_eq(int, pls, v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v1) = v2 & ord_less_eq(int, pls, v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v0) = v3 & ord_less(int, pls, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v0) = v2 & ord_less(int, pls, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, pls, v1) = v3 & ord_less(int, pls, v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, pls, v1) = v2 & ord_less(int, pls, v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (times_times(nat, v0, all_0_83_83) = v1) | plus_plus(nat, v0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (times_times(nat, all_0_81_81, v0) = v1) | plus_plus(nat, v0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus_plus(nat, v0, v0) = v1) | times_times(nat, v0, all_0_83_83) = v1) & ! [v0] : ! [v1] : ( ~ (plus_plus(nat, v0, v0) = v1) | times_times(nat, all_0_81_81, v0) = v1) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v2 & number_number_of(v0, all_0_71_71) = v4 & plus_plus(v0, v1, v1) = v3 & ( ~ (v2 = 0) | v4 = v3))) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : (power_power(v0, v1, all_0_63_63) = v3 & semiring_1(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : (semiring_1(v0) = v2 & ti(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (twoSqu33214720sum2sq(v1) = v3 & twoSqu33214720sum2sq(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (twoSqu33214720sum2sq(v1) = v2 & twoSqu33214720sum2sq(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (zprime(v1) = v3 & zprime(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (zprime(v1) = v2 & zprime(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2)) & ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : ? [v2] : (number_number_of(v0, all_0_71_71) = v2 & plus_plus(v0, v1, v1) = v2 & one_one(v0) = v1)) & ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(v0, v3, v1) = v4 & plus_plus(int, v2, all_0_98_98) = v5)) & ! [v2] : ! [v3] : ( ~ (plus_plus(int, v2, all_0_98_98) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v4, v1) = v5)))) & ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(v0, v1, v3) = v4 & plus_plus(int, all_0_98_98, v2) = v5)) & ! [v2] : ! [v3] : ( ~ (plus_plus(int, all_0_98_98, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v1, v4) = v5)))) & ! [v0] : ( ~ (number_semiring(v0) = 0) | ? [v1] : (number_number_of(v0, all_0_56_56) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_55_55) = v5) | ~ (power_power(v0, v2, all_0_55_55) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v7, all_0_55_55) = v8 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v6, v10) = v8 & plus_plus(v0, v2, v3) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v6, all_0_55_55) = v7 & power_power(v0, v3, all_0_55_55) = v9 & power_power(v0, v2, all_0_55_55) = v8 & plus_plus(v0, v10, v5) = v7 & plus_plus(v0, v8, v9) = v10 & plus_plus(v0, v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v0, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v4, all_0_55_55) = v5 & power_power(v0, v3, all_0_55_55) = v7 & power_power(v0, v2, all_0_55_55) = v6 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v8, v10) = v5 & plus_plus(v0, v6, v7) = v8)))) & ! [v0] : ( ~ (twoSqu33214720sum2sq(v0) = 0) | ? [v1] : (twoSqu33214720sum2sq(v1) = 0 & ti(int, v0) = v1)) & ! [v0] : ( ~ (ord_less_eq(int, pls, v0) = 0) | ? [v1] : (ord_less_eq(int, pls, v1) = 0 & bit1(v0) = v1)) & ! [v0] : ( ~ (ord_less_eq(int, pls, v0) = 0) | ? [v1] : (ord_less(int, pls, v1) = 0 & bit1(v0) = v1)) & ! [v0] : ~ (ord_less(int, v0, v0) = 0) & ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less_eq(int, v1, pls) = 0 & bit1(v0) = v1)) & ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less(int, v1, pls) = 0 & bit1(v0) = v1)) & ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less(int, v1, pls) = 0 & bit0(v0) = v1)) & ! [v0] : ( ~ (ord_less(int, pls, v0) = 0) | ? [v1] : (ord_less(int, pls, v1) = 0 & bit0(v0) = v1)) & ! [v0] : ( ~ (zprime(v0) = 0) | ? [v1] : (zprime(v1) = 0 & ti(int, v0) = v1)) & ! [v0] : ( ~ (semiring_1(v0) = 0) | ? [v1] : (power_power(v0, v1, all_0_63_63) = v1 & one_one(v0) = v1)) & ! [v0] : ( ~ (semiring_1(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ti(v0, v1) = v1)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v5) = v6 & ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v4 & number(v2) = v3 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v4 & ord_less(v2, v0, v5) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v3 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less_eq(v0, v4, v5) = v6 & ord_less_eq(int, v1, v2) = v3 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less_eq(v0, v3, v4) = v5 & ord_less_eq(int, v1, v2) = v6 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3 & ( ~ (v5 = 0) | v6 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less(v0, v4, v5) = v6 & ord_less(int, v1, v2) = v3 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less(v0, v3, v4) = v5 & ord_less(int, v1, v2) = v6 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3 & ( ~ (v5 = 0) | v6 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (twoSqu33214720sum2sq(v4) = v5 & twoSqu33214720sum2sq(v1) = v2 & twoSqu33214720sum2sq(v0) = v3 & times_times(int, v1, v0) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (power_power(v2, v0, v1) = v4 & monoid_mult(v2) = v3 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (ord_less_eq(int, v3, v4) = v5 & ord_less_eq(int, v0, v1) = v2 & bit1(v1) = v4 & bit0(v0) = v3 & ( ~ (v2 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (monoid_mult(v2) = v3 & times_times(v2, v0, v1) = v4 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (comm_semiring_1(v2) = v3 & plus_plus(v2, v0, v1) = v4 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v1 & number_number_of(v0, all_0_71_71) = v4 & plus_plus(v0, v2, v2) = v3 & one_one(v0) = v2 & ( ~ (v1 = 0) | v4 = v3)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (number(v1) = v2 & number_number_of(v1, v0) = v3 & ti(v1, v3) = v4 & ( ~ (v2 = 0) | v4 = v3)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = v2 & number_number_of(v0, v1) = v2) | (ring_char_0(v0) = v3 & number_ring(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (power_power(v0, v2, all_0_63_63) = v3 & semiring_1(v0) = v1 & one_one(v0) = v2 & ( ~ (v1 = 0) | v3 = v2)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (zprime(v2) = v3 & zprime(v0) = v1 & ti(int, v0) = v2 & ( ~ (v1 = 0) | v3 = 0)) & ? [v0] : ? [v1] : ? [v2] : (v2 = v1 | ? [v3] : ? [v4] : (( ~ (v4 = v3) & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | (ring_char_0(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ? [v0] : ? [v1] : ? [v2] : (number_semiring(v0) = v1 & number_number_of(v0, all_0_56_56) = v2 & ( ~ (v1 = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (power_power(v0, v5, all_0_55_55) = v6 & power_power(v0, v4, all_0_55_55) = v8 & power_power(v0, v3, all_0_55_55) = v7 & times_times(v0, v10, v4) = v11 & times_times(v0, v2, v3) = v10 & plus_plus(v0, v9, v11) = v6 & plus_plus(v0, v7, v8) = v9 & plus_plus(v0, v3, v4) = v5))) & ? [v0] : ? [v1] : (undefined(v0) = v1 & ti(v0, v1) = v1) & ( ~ (all_0_22_22 = 0) | (all_0_11_11 = all_0_16_16 & power_power(int, all_0_14_14, all_0_20_20) = all_0_12_12 & power_power(int, all_0_15_15, all_0_20_20) = all_0_13_13 & plus_plus(int, all_0_13_13, all_0_12_12) = all_0_16_16)) & ( ~ (all_0_92_92 = t) | (all_0_0_0 = all_0_5_5 & power_power(int, all_0_3_3, all_0_9_9) = all_0_1_1 & power_power(int, all_0_4_4, all_0_9_9) = all_0_2_2 & plus_plus(int, all_0_2_2, all_0_1_1) = all_0_5_5)) % 145.27/94.34 | % 145.27/94.34 | Applying alpha-rule on (1) yields: % 145.27/94.34 | (2) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (comm_semiring_1(v2) = v3 & plus_plus(v2, v0, v1) = v4 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) % 145.27/94.34 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & linordered_idom(v0) = v6) | ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6))) % 145.27/94.34 | (4) ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(v0, v1, v3) = v4 & plus_plus(int, all_0_98_98, v2) = v5)) & ! [v2] : ! [v3] : ( ~ (plus_plus(int, all_0_98_98, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v1, v4) = v5)))) % 145.27/94.34 | (5) ti(int, pls) = pls % 145.27/94.34 | (6) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, pls, v1) = v3 & ord_less(int, pls, v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.34 | (7) number_number_of(nat, all_0_98_98) = all_0_88_88 % 145.27/94.34 | (8) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.34 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less(int, v0, v2) = v3) | ~ (plus_plus(int, v1, all_0_92_92) = v2) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v0, v1) = v4)) % 145.27/94.34 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & linordered_idom(v0) = v6) | ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6))) % 145.27/94.34 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(int, all_0_98_98, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v5 & number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v1, v4) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.34 | (12) ! [v0] : ( ~ (ord_less_eq(int, pls, v0) = 0) | ? [v1] : (ord_less_eq(int, pls, v1) = 0 & bit1(v0) = v1)) % 145.27/94.34 | (13) ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less(int, v1, pls) = 0 & bit1(v0) = v1)) % 145.27/94.34 | (14) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v1) = v3 & bit0(v0) = v2)) % 145.27/94.34 | (15) number_number_of(nat, all_0_97_97) = all_0_96_96 % 145.27/94.34 | (16) ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v0, v1) = 0) | ord_less(int, v0, v1) = 0) % 145.27/94.34 | (17) ? [v0] : ? [v1] : ? [v2] : (v2 = v1 | ? [v3] : ? [v4] : (( ~ (v4 = v3) & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | (ring_char_0(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) % 145.27/94.34 | (18) number_number_of(nat, all_0_58_58) = all_0_57_57 % 145.27/94.34 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (plus_plus(v4, v3, v2) = v1) | ~ (plus_plus(v4, v3, v2) = v0)) % 145.27/94.34 | (20) bit0(all_0_98_98) = all_0_80_80 % 145.27/94.34 | (21) bit0(all_0_98_98) = all_0_21_21 % 145.27/94.34 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v3) = v5) | ~ (plus_plus(v0, v1, v2) = v4) | ? [v6] : (plus_plus(v0, v6, v2) = v5 & plus_plus(v0, v1, v3) = v6)) % 145.27/94.34 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number_ring(v2) = v1) | ~ (number_ring(v2) = v0)) % 145.27/94.34 | (24) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2)) % 145.27/94.34 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (comm_semiring_1(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) % 145.27/94.34 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v6] : ? [v7] : (power_power(v0, v1, v3) = v7 & power_power(v0, v1, v2) = v6 & times_times(v0, v6, v7) = v5)) % 145.27/94.34 | (27) bit0(all_0_98_98) = all_0_58_58 % 145.27/94.34 | (28) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, pls, v2) = v3 & bit1(v0) = v2)) % 145.27/94.34 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (ord_less(int, v4, v5) = v6) | ~ (plus_plus(int, v3, v1) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ? [v7] : ? [v8] : (ord_less_eq(int, v0, v1) = v8 & ord_less(int, v2, v3) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) % 145.27/94.34 | (30) times_times(int, all_0_73_73, all_0_72_72) = all_0_77_77 % 145.27/94.34 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v3) = v6 & times_times(v0, v1, v6) = v5)) % 145.27/94.34 | (32) power_power(int, s, all_0_39_39) = all_0_38_38 % 145.27/94.34 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less_eq(int, v2, v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ord_less_eq(int, v1, v0) = 0) % 145.27/94.34 | (34) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, v2, pls) = v3 & bit1(v0) = v2)) % 145.27/94.34 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v1, v2) = v3) | ~ (ti(int, v0) = v2) | ? [v4] : ? [v5] : (number(v1) = v4 & number_number_of(v1, v0) = v5 & ( ~ (v4 = 0) | v5 = v3))) % 145.27/94.34 | (36) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ord_less_eq(int, v0, v1) = v3)) % 145.27/94.34 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number(v2) = v1) | ~ (number(v2) = v0)) % 145.27/94.34 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ord_less(int, v0, v1) = 0) % 145.27/94.34 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v0, v1) = v2) | ord_less(int, v1, v0) = 0) % 145.27/94.34 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (ord_less(int, v1, v0) = v2) | ord_less(int, v0, v1) = 0) % 145.27/94.34 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v0, v2, v1) = v3) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v1, v2) = v3) % 145.27/94.34 | (42) bit0(all_0_98_98) = all_0_10_10 % 145.27/94.34 | (43) bit0(all_0_98_98) = all_0_51_51 % 145.27/94.34 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v5 & ord_less(v2, v0, v6) = v7 & number(v2) = v4 & ti(v2, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) % 145.27/94.34 | (45) ! [v0] : ( ~ (twoSqu33214720sum2sq(v0) = 0) | ? [v1] : (twoSqu33214720sum2sq(v1) = 0 & ti(int, v0) = v1)) % 145.27/94.35 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v3) = v4) | ~ (plus_plus(int, v0, v2) = v3) | ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) % 145.27/94.35 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (comm_semiring_1(v2) = v4 & plus_plus(v2, v5, v1) = v6 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.35 | (48) ! [v0] : ! [v1] : (v1 = 0 | ~ (zprime(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & zprime(v2) = v3 & ti(int, v0) = v2)) % 145.27/94.35 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) % 145.27/94.35 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit0(v1) = v4 & bit0(v0) = v3)) % 145.27/94.35 | (51) number_ring(int) = 0 % 145.27/94.35 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v3) = v4) | ~ (times_times(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v6) = v5 & times_times(v0, v1, v3) = v6)) % 145.27/94.35 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (comm_semiring_1(v0) = 0) | ~ (ti(v0, v1) = v2) | power_power(v0, v1, all_0_88_88) = v2) % 145.27/94.35 | (54) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & number_number_of(int, v1) = v3 & number_number_of(int, v0) = v2)) % 145.27/94.35 | (55) ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & ord_less_eq(int, v0, v1) = v2)) % 145.27/94.35 | (56) ! [v0] : ! [v1] : (v1 = v0 | ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & ord_less_eq(int, v1, v0) = v2)) % 145.27/94.35 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (number(v1) = v3 & number_number_of(v1, v4) = v5 & ti(int, v0) = v4 & ( ~ (v3 = 0) | v5 = v2))) % 145.27/94.35 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (linordered_idom(v2) = v1) | ~ (linordered_idom(v2) = v0)) % 145.27/94.35 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v1, v2) = 0) | ~ (ord_less_eq(int, v1, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v2, v0) = v4)) % 145.27/94.35 | (60) number_number_of(nat, all_0_49_49) = all_0_48_48 % 145.27/94.35 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (power_power(int, v2, all_0_48_48) = v3 & power_power(int, v1, all_0_48_48) = v8 & power_power(int, v0, all_0_48_48) = v4 & times_times(int, v5, v1) = v6 & times_times(int, all_0_47_47, v0) = v5 & plus_plus(int, v7, v8) = v3 & plus_plus(int, v4, v6) = v7)) % 145.27/94.35 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : (monoid_mult(v2) = v5 & times_times(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.35 | (63) bit0(all_0_80_80) = all_0_76_76 % 145.27/94.35 | (64) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3)) % 145.27/94.35 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v2) = v1) | ~ (bit1(v2) = v0)) % 145.27/94.35 | (66) comm_semiring_1(int) = 0 % 145.27/94.35 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v1, v3) = v5) | ~ (power_power(v0, v1, v2) = v4) | ~ (times_times(v0, v4, v5) = v6) | ~ (comm_semiring_1(v0) = 0) | ? [v7] : (power_power(v0, v1, v7) = v6 & plus_plus(nat, v2, v3) = v7)) % 145.27/94.35 | (68) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.35 | (69) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1) % 145.27/94.35 | (70) number_number_of(nat, all_0_60_60) = all_0_59_59 % 145.27/94.35 | (71) ! [v0] : ( ~ (semiring_1(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ti(v0, v1) = v1)) % 145.27/94.35 | (72) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.35 | (73) bit0(all_0_98_98) = all_0_68_68 % 145.27/94.35 | (74) plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77 % 145.27/94.35 | (75) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v2 & number_number_of(v0, all_0_71_71) = v4 & plus_plus(v0, v1, v1) = v3 & ( ~ (v2 = 0) | v4 = v3))) % 145.27/94.35 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ? [v5] : ? [v6] : (power_power(v2, v0, v1) = v6 & monoid_mult(v2) = v5 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.35 | (77) ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_59_59) = v1) | ? [v2] : (power_power(int, v0, all_0_61_61) = v2 & times_times(int, v0, v2) = v1)) % 145.27/94.35 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ring_char_0(v2) = v1) | ~ (ring_char_0(v2) = v0)) % 145.27/94.35 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v1) = v2) | ~ (bit0(v0) = v2)) % 145.27/94.35 | (80) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v0) = v2 & bit0(v1) = v3)) % 145.27/94.35 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(int, v0, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ~ (times_times(int, v3, v4) = v5) | ? [v6] : (power_power(int, v0, v6) = v5 & plus_plus(nat, v1, v2) = v6)) % 145.27/94.35 | (82) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit0(v1) = v3 & bit0(v0) = v2)) % 145.27/94.35 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) % 145.27/94.35 | (84) times_times(int, all_0_42_42, t) = all_0_41_41 % 145.27/94.35 | (85) plus_plus(int, all_0_38_38, all_0_92_92) = all_0_37_37 % 145.27/94.35 | (86) number_number_of(nat, all_0_21_21) = all_0_20_20 % 145.27/94.35 | (87) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) % 145.27/94.35 | (88) ord_less(int, t, all_0_23_23) = 0 % 145.27/94.35 | (89) ? [v0] : ? [v1] : (undefined(v0) = v1 & ti(v0, v1) = v1) % 145.27/94.35 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.35 | (91) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ord_less(int, v0, v3) = v4 & plus_plus(int, v1, all_0_92_92) = v3)) % 145.27/94.35 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_88_88) = v2) | ~ (comm_semiring_1(v0) = 0) | ti(v0, v1) = v2) % 145.27/94.35 | (93) ! [v0] : ! [v1] : (v1 = 0 | ~ (twoSqu33214720sum2sq(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & twoSqu33214720sum2sq(v2) = v3 & ti(int, v0) = v2)) % 145.27/94.35 | (94) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v1 & number_number_of(v0, all_0_71_71) = v4 & plus_plus(v0, v2, v2) = v3 & one_one(v0) = v2 & ( ~ (v1 = 0) | v4 = v3)) % 145.27/94.35 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v4) = v5) | ~ (times_times(v0, v1, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v2, v3) = v6 & times_times(v0, v1, v6) = v5)) % 145.27/94.35 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v4, v3) = v5) | ~ (power_power(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (power_power(v0, v1, v6) = v5 & times_times(nat, v2, v3) = v6)) % 145.27/94.35 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v0, v1, v3) = v4) | ~ (times_times(nat, all_0_69_69, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | ? [v5] : (power_power(v0, v1, v2) = v5 & times_times(v0, v5, v5) = v4)) % 145.27/94.35 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (comm_semiring_1(v2) = v1) | ~ (comm_semiring_1(v2) = v0)) % 145.27/94.35 | (99) times_times(int, all_0_33_33, t) = all_0_37_37 % 145.27/94.35 | (100) zprime(all_0_89_89) = 0 % 145.27/94.35 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v4 & number_number_of(nat, v2) = v8 & number_number_of(nat, v1) = v5 & number_number_of(nat, v0) = v6 & plus_plus(nat, v5, v6) = v7 & (v3 = 0 | (( ~ (v4 = 0) | v7 = v5) & (v8 = v7 | v4 = 0))))) % 145.27/94.35 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v3, v4) = v5) | ~ (times_times(v0, v2, v5) = v6) | ~ (times_times(v0, v1, v6) = v7) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v8, v5) = v7 & times_times(v0, v1, v2) = v8)) % 145.27/94.35 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (linorder(v2) = v1) | ~ (linorder(v2) = v0)) % 145.27/94.35 | (104) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2)) % 145.27/94.35 | (105) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v0) = v3 & ord_less(int, pls, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.35 | (106) number_number_of(int, all_0_45_45) = all_0_44_44 % 145.27/94.35 | (107) bit0(all_0_98_98) = all_0_66_66 % 145.27/94.35 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (monoid_mult(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) % 145.27/94.35 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (ord_less(int, v1, pls) = v5 & ord_less(int, v0, pls) = v6 & number_number_of(nat, v7) = v8 & plus_plus(int, v1, v0) = v7 & (v5 = 0 | (( ~ (v6 = 0) | v4 = v2) & (v8 = v4 | v6 = 0))))) % 145.27/94.35 | (110) bit0(all_0_10_10) = all_0_8_8 % 145.27/94.35 | (111) number_semiring(int) = 0 % 145.27/94.35 | (112) number_number_of(nat, all_0_85_85) = all_0_86_86 % 145.27/94.35 | (113) number_number_of(nat, all_0_56_56) = all_0_55_55 % 145.27/94.35 | (114) linorder(nat) = 0 % 145.27/94.35 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v1, pls) = v5)) % 145.27/94.35 | (116) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.35 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_ring(v0) = 0) | ~ (ord_less(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & linordered_idom(v0) = v3))) % 145.27/94.35 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : (monoid_mult(v2) = v4 & ti(v2, v3) = v5 & ( ~ (v4 = 0) | v5 = v3))) % 145.27/94.35 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (power_power(v2, v0, v5) = v6 & monoid_mult(v2) = v4 & ti(nat, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.36 | (120) bit0(all_0_46_46) = all_0_45_45 % 145.27/94.36 | (121) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(v0, v1, v1) = v2) | ~ (comm_semiring_1(v0) = 0) | power_power(v0, v1, all_0_65_65) = v2) % 145.27/94.36 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : (twoSqu33214720sum2sq(v2) = v5 & twoSqu33214720sum2sq(v1) = v3 & twoSqu33214720sum2sq(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 145.27/94.36 | (123) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (ord_less_eq(int, v3, v4) = v5 & ord_less_eq(int, v0, v1) = v2 & bit1(v1) = v4 & bit0(v0) = v3 & ( ~ (v2 = 0) | v5 = 0)) % 145.27/94.36 | (124) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (number_semiring(v2) = v1) | ~ (number_semiring(v2) = v0)) % 145.27/94.36 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.36 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (plus_plus(v0, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & power_power(v0, v4, all_0_55_55) = v5 & power_power(v0, v3, all_0_55_55) = v7 & power_power(v0, v2, all_0_55_55) = v6 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v8, v10) = v5 & plus_plus(v0, v6, v7) = v8) | ( ~ (v5 = 0) & number_semiring(v0) = v5))) % 145.27/94.36 | (127) times_times(int, all_0_7_7, m) = all_0_6_6 % 145.27/94.36 | (128) number(int) = 0 % 145.27/94.36 | (129) times_times(int, all_0_94_94, m) = all_0_93_93 % 145.27/94.36 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) % 145.27/94.36 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v2) = v5 & times_times(v0, v1, v3) = v6)) % 145.27/94.36 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (semiring_1(v2) = v1) | ~ (semiring_1(v2) = v0)) % 145.27/94.36 | (133) number_number_of(int, all_0_8_8) = all_0_7_7 % 145.27/94.36 | (134) times_times(int, all_0_30_30, m) = all_0_29_29 % 145.27/94.36 | (135) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (number(v1) = v2 & number_number_of(v1, v0) = v3 & ti(v1, v3) = v4 & ( ~ (v2 = 0) | v4 = v3)) % 145.27/94.36 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ord_less_eq(v4, v3, v2) = v1) | ~ (ord_less_eq(v4, v3, v2) = v0)) % 145.27/94.36 | (137) plus_plus(int, all_0_29_29, all_0_92_92) = all_0_28_28 % 145.27/94.36 | (138) bit1(all_0_98_98) = all_0_54_54 % 145.27/94.36 | (139) number(nat) = 0 % 145.27/94.36 | (140) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, pls, v2) = v3 & bit0(v0) = v2)) % 145.27/94.36 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & number_ring(v0) = v3))) % 145.27/94.36 | (142) number_number_of(int, all_0_19_19) = all_0_18_18 % 145.27/94.36 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_ring(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less_eq(int, v1, v2) = 0) | ( ~ (v5 = 0) & linordered_idom(v0) = v5))) % 145.27/94.36 | (144) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (power_power(v0, v2, all_0_63_63) = v3 & semiring_1(v0) = v1 & one_one(v0) = v2 & ( ~ (v1 = 0) | v3 = v2)) % 145.27/94.36 | (145) plus_plus(int, all_0_24_24, all_0_92_92) = all_0_23_23 % 145.27/94.36 | (146) ! [v0] : ( ~ (number_semiring(v0) = 0) | ? [v1] : (number_number_of(v0, all_0_56_56) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_55_55) = v5) | ~ (power_power(v0, v2, all_0_55_55) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v7, all_0_55_55) = v8 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v6, v10) = v8 & plus_plus(v0, v2, v3) = v7)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v6, all_0_55_55) = v7 & power_power(v0, v3, all_0_55_55) = v9 & power_power(v0, v2, all_0_55_55) = v8 & plus_plus(v0, v10, v5) = v7 & plus_plus(v0, v8, v9) = v10 & plus_plus(v0, v2, v3) = v6)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v0, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (power_power(v0, v4, all_0_55_55) = v5 & power_power(v0, v3, all_0_55_55) = v7 & power_power(v0, v2, all_0_55_55) = v6 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v8, v10) = v5 & plus_plus(v0, v6, v7) = v8)))) % 145.27/94.36 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) % 145.27/94.36 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v0, v4, v3) = 0) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less_eq(v0, v3, v4) = v5) | ( ~ (v5 = 0) & linorder(v0) = v5))) % 145.27/94.36 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v4) = v6) | ~ (times_times(v0, v3, v6) = v7) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v5, v8) = v7 & times_times(v0, v3, v4) = v8)) % 145.27/94.36 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(v0, v4, v3) = v5) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less(v0, v3, v4) = 0) | ( ~ (v6 = 0) & linorder(v0) = v6))) % 145.27/94.36 | (151) bit0(all_0_40_40) = all_0_36_36 % 145.27/94.36 | (152) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v0) = v2 & bit0(v1) = v3)) % 145.27/94.36 | (153) semiring_1(nat) = 0 % 145.27/94.36 | (154) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & bit1(v1) = v3 & bit1(v0) = v2)) % 145.27/94.36 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (monoid_mult(v2) = v4 & times_times(v2, v0, v5) = v6 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.36 | (156) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v1) = v3 & bit0(v0) = v2)) % 145.27/94.36 | (157) ! [v0] : ! [v1] : ( ~ (plus_plus(nat, v0, v0) = v1) | times_times(nat, v0, all_0_83_83) = v1) % 145.27/94.36 | (158) ! [v0] : ! [v1] : ( ~ (times_times(nat, v0, all_0_83_83) = v1) | plus_plus(nat, v0, v0) = v1) % 145.27/94.36 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v4 & number_number_of(v0, v5) = v4 & plus_plus(v0, v1, v3) = v4 & plus_plus(int, all_0_98_98, v2) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.36 | (160) number_number_of(int, all_0_31_31) = all_0_30_30 % 145.27/94.36 | (161) monoid_mult(int) = 0 % 145.27/94.36 | (162) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_67_67) = v2) | ~ (monoid_mult(v0) = 0) | times_times(v0, v1, v1) = v2) % 145.27/94.36 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(v0, v4, v3) = v5) | ~ (linorder(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less(v0, v3, v4) = 0) | ( ~ (v6 = 0) & number(v0) = v6))) % 145.27/94.36 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) % 145.27/94.36 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_55_55) = v5) | ~ (power_power(v0, v2, all_0_55_55) = v4) | ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & power_power(v0, v7, all_0_55_55) = v8 & times_times(v0, v9, v3) = v10 & times_times(v0, v1, v2) = v9 & plus_plus(v0, v6, v10) = v8 & plus_plus(v0, v2, v3) = v7) | ( ~ (v7 = 0) & number_semiring(v0) = v7))) % 145.27/94.36 | (166) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit0(v0) = v2) | ~ (bit0(v0) = v1)) % 145.27/94.36 | (167) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | times_times(int, v1, v0) = v2) % 145.27/94.36 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v1, v0) = v2) | times_times(int, v0, v1) = v2) % 145.27/94.36 | (169) number_number_of(int, all_0_90_90) = all_0_89_89 % 145.27/94.36 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linorder(v0) = 0) | ~ (ord_less(v0, v4, v3) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less_eq(v0, v3, v4) = v5) | ( ~ (v5 = 0) & number(v0) = v5))) % 145.27/94.36 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.36 | (172) times_times(int, all_0_25_25, m) = all_0_24_24 % 145.27/94.36 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ord_less(int, v0, v1) = 0) % 145.27/94.36 | (174) monoid_mult(nat) = 0 % 145.27/94.36 | (175) bit0(all_0_32_32) = all_0_31_31 % 145.27/94.36 | (176) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit0(v1) = v3 & bit0(v0) = v2)) % 145.27/94.36 | (177) ti(int, m) = m % 145.27/94.36 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & number_ring(v0) = v6) | ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6))) % 145.27/94.36 | (179) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, v2, pls) = v3 & bit1(v0) = v2)) % 145.27/94.36 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : (comm_semiring_1(v2) = v5 & plus_plus(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.36 | (181) number_number_of(nat, all_0_51_51) = all_0_50_50 % 145.27/94.36 | (182) plus_plus(int, all_0_17_17, all_0_92_92) = all_0_16_16 % 145.27/94.36 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.36 | (184) number_semiring(nat) = 0 % 145.27/94.36 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v4 & number_number_of(v0, v5) = v4 & plus_plus(v0, v3, v1) = v4 & plus_plus(int, v2, all_0_98_98) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.36 | (186) plus_plus(nat, all_0_88_88, all_0_88_88) = all_0_86_86 % 145.27/94.36 | (187) ord_less_eq(int, all_0_92_92, t) = 0 % 145.27/94.36 | (188) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less(int, v0, pls) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, v2, pls) = v3 & bit0(v0) = v2)) % 145.27/94.36 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v3) = v4) | ~ (plus_plus(v0, v1, v4) = v5) | ? [v6] : (plus_plus(v0, v6, v3) = v5 & plus_plus(v0, v1, v2) = v6)) % 145.27/94.36 | (190) twoSqu33214720sum2sq(all_0_41_41) = 0 % 145.27/94.36 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v3) = v4) | ~ (plus_plus(v0, v1, v4) = v5) | ? [v6] : (plus_plus(v0, v2, v6) = v5 & plus_plus(v0, v1, v3) = v6)) % 145.27/94.36 | (192) bit0(all_0_98_98) = all_0_56_56 % 145.27/94.36 | (193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, all_0_50_50) = v2) | ~ (times_times(int, v3, v1) = v4) | ~ (times_times(int, all_0_52_52, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v5, all_0_53_53) = v6 & power_power(int, v1, all_0_50_50) = v10 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_53_53) = v7 & times_times(int, v9, v10) = v11 & times_times(int, all_0_52_52, v0) = v9 & plus_plus(int, v12, v13) = v6 & plus_plus(int, v8, v11) = v12 & plus_plus(int, v7, v4) = v8 & plus_plus(int, v0, v1) = v5)) % 145.27/94.37 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v4, v2) = v5) | ~ (times_times(v0, v1, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v3) = v5 & times_times(v0, v1, v2) = v6)) % 145.27/94.37 | (195) number_number_of(nat, all_0_70_70) = all_0_69_69 % 145.27/94.37 | (196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (number_ring(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & ring_char_0(v0) = v4)) % 145.27/94.37 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ord_less(int, v0, v1) = 0) % 145.27/94.37 | (198) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v2) = v1) | ~ (bit0(v2) = v0)) % 145.27/94.37 | (199) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v1, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | ? [v4] : ? [v5] : (power_power(v0, v1, v4) = v5 & times_times(v0, v3, v3) = v5 & times_times(nat, all_0_69_69, v2) = v4)) % 145.27/94.37 | (200) number_number_of(int, all_0_76_76) = all_0_75_75 % 145.27/94.37 | (201) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (twoSqu33214720sum2sq(v2) = v1) | ~ (twoSqu33214720sum2sq(v2) = v0)) % 145.27/94.37 | (202) number_number_of(nat, all_0_62_62) = all_0_61_61 % 145.27/94.37 | (203) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.37 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (power_power(v2, v5, v1) = v6 & monoid_mult(v2) = v4 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.37 | (205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ? [v5] : (times_times(int, v1, v2) = v5 & times_times(int, v0, v5) = v4)) % 145.27/94.37 | (206) bit0(all_0_98_98) = all_0_85_85 % 145.27/94.37 | (207) times_times(int, all_0_75_75, m) = all_0_74_74 % 145.27/94.37 | (208) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ord_less_eq(int, v1, v0) = 0) % 145.27/94.37 | (209) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v1, v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.37 | (210) ti(int, s) = s % 145.27/94.37 | (211) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v0) = v3 & bit0(v1) = v4)) % 145.27/94.37 | (212) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v0) = v3 & bit0(v1) = v4)) % 145.27/94.37 | (213) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (power_power(v2, v0, v1) = v6 & monoid_mult(v2) = v5 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.37 | (214) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v6 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) % 145.27/94.37 | (215) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, v0, v0) = v1)) % 145.27/94.37 | (216) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & ord_less(int, v0, v0) = v2)) % 145.27/94.37 | (217) semiring_1(int) = 0 % 145.27/94.37 | (218) ord_less_eq(int, pls, pls) = 0 % 145.27/94.37 | (219) bit0(all_0_97_97) = all_0_95_95 % 145.27/94.37 | (220) bit0(all_0_98_98) = all_0_97_97 % 145.27/94.37 | (221) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = v2 & number_number_of(v0, v1) = v2) | (ring_char_0(v0) = v3 & number_ring(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 145.27/94.37 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less_eq(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.37 | (223) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : ? [v9] : (times_times(v0, v8, v9) = v7 & times_times(v0, v2, v4) = v9 & times_times(v0, v1, v3) = v8)) % 145.27/94.37 | (224) ! [v0] : ! [v1] : ! [v2] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less_eq(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & number_ring(v0) = v3))) % 145.27/94.37 | (225) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less(int, v3, v4) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ~ (plus_plus(int, v1, v0) = v3) | ? [v6] : ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6)) % 145.27/94.37 | (226) ! [v0] : ( ~ (ord_less(int, pls, v0) = 0) | ? [v1] : (ord_less(int, pls, v1) = 0 & bit0(v0) = v1)) % 145.27/94.37 | (227) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v3, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) % 145.27/94.37 | (228) number_number_of(nat, all_0_68_68) = all_0_67_67 % 145.27/94.37 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) % 145.27/94.37 | (230) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less_eq(v0, v4, v5) = v6 & ord_less_eq(int, v1, v2) = v3 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0))) % 145.27/94.37 | (231) ! [v0] : ! [v1] : ! [v2] : ( ~ (number(v0) = 0) | ~ (number_number_of(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = v3 & power_power(v0, v2, all_0_57_57) = v3 & times_times(v0, v2, v2) = v3) | ( ~ (v3 = 0) & monoid_mult(v0) = v3))) % 145.27/94.37 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(v0, v2, v3) = v4) | ~ (times_times(v0, v1, v4) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (times_times(v0, v6, v3) = v5 & times_times(v0, v1, v2) = v6)) % 145.27/94.37 | (233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linorder(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less_eq(v0, v4, v3) = 0) | ( ~ (v6 = 0) & number(v0) = v6))) % 145.27/94.37 | (234) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less(int, v1, v2) = 0) | ( ~ (v5 = 0) & number_ring(v0) = v5))) % 145.27/94.37 | (235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less(v0, v3, v4) = v5) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ? [v6] : ((v6 = 0 & ord_less_eq(v0, v4, v3) = 0) | ( ~ (v6 = 0) & linorder(v0) = v6))) % 145.27/94.37 | (236) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3)) % 145.27/94.37 | (237) number_number_of(int, all_0_36_36) = all_0_35_35 % 145.27/94.37 | (238) number_number_of(int, all_0_26_26) = all_0_25_25 % 145.27/94.37 | (239) ~ (all_0_22_22 = 0) | (all_0_11_11 = all_0_16_16 & power_power(int, all_0_14_14, all_0_20_20) = all_0_12_12 & power_power(int, all_0_15_15, all_0_20_20) = all_0_13_13 & plus_plus(int, all_0_13_13, all_0_12_12) = all_0_16_16) % 145.27/94.37 | (240) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v1) = v4 & bit1(v0) = v3)) % 145.27/94.37 | (241) bit0(all_0_27_27) = all_0_26_26 % 145.27/94.37 | (242) one_one(nat) = all_0_88_88 % 145.27/94.37 | (243) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v1) = v2 & ord_less_eq(int, pls, v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.37 | (244) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (monoid_mult(v2) = v1) | ~ (monoid_mult(v2) = v0)) % 145.27/94.37 | (245) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less(v0, v4, v5) = v6 & ord_less(int, v1, v2) = v3 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0))) % 145.27/94.37 | (246) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v6) = v7 & linorder(v2) = v5 & number(v2) = v4 & ti(v2, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) % 145.27/94.37 | (247) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (power_power(v4, v3, v2) = v1) | ~ (power_power(v4, v3, v2) = v0)) % 145.27/94.37 | (248) bit0(all_0_98_98) = all_0_46_46 % 145.27/94.37 | (249) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v1) = v3 & ord_less_eq(int, pls, v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.37 | (250) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (number_number_of(v3, v2) = v1) | ~ (number_number_of(v3, v2) = v0)) % 145.27/94.37 | (251) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (monoid_mult(v2) = v4 & times_times(v2, v5, v1) = v6 & ti(v2, v0) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.37 | (252) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (undefined(v2) = v1) | ~ (undefined(v2) = v0)) % 145.27/94.37 | (253) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less(v0, v3, v4) = v5 & ord_less(int, v1, v2) = v6 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3 & ( ~ (v5 = 0) | v6 = 0))) % 145.27/94.37 | (254) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v1, all_0_50_50) = v3) | ~ (times_times(int, v2, v3) = v4) | ~ (times_times(int, all_0_52_52, v0) = v2) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v5, all_0_53_53) = v6 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_50_50) = v8 & power_power(int, v0, all_0_53_53) = v7 & times_times(int, v9, v1) = v10 & times_times(int, all_0_52_52, v8) = v9 & plus_plus(int, v12, v13) = v6 & plus_plus(int, v11, v4) = v12 & plus_plus(int, v7, v10) = v11 & plus_plus(int, v0, v1) = v5)) % 145.27/94.37 | (255) plus_plus(int, all_0_34_34, all_0_92_92) = all_0_33_33 % 145.27/94.37 | (256) bit0(all_0_98_98) = all_0_32_32 % 145.27/94.37 | (257) linordered_idom(int) = 0 % 145.27/94.37 | (258) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (twoSqu33214720sum2sq(v4) = v5 & twoSqu33214720sum2sq(v1) = v2 & twoSqu33214720sum2sq(v0) = v3 & times_times(int, v1, v0) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0)) % 145.27/94.37 | (259) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less_eq(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & linordered_idom(v0) = v4))) % 145.27/94.37 | (260) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_power(int, v2, all_0_53_53) = v3 & power_power(int, v1, all_0_50_50) = v10 & power_power(int, v1, all_0_53_53) = v13 & power_power(int, v0, all_0_50_50) = v5 & power_power(int, v0, all_0_53_53) = v4 & times_times(int, v9, v10) = v11 & times_times(int, v6, v1) = v7 & times_times(int, all_0_52_52, v5) = v6 & times_times(int, all_0_52_52, v0) = v9 & plus_plus(int, v12, v13) = v3 & plus_plus(int, v8, v11) = v12 & plus_plus(int, v4, v7) = v8)) % 145.27/94.38 | (261) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((linordered_idom(v0) = v4 & number_ring(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (ord_less_eq(v0, v3, v4) = v5 & ord_less_eq(int, v1, v2) = v6 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3 & ( ~ (v5 = 0) | v6 = 0))) % 145.27/94.38 | (262) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (263) ring_char_0(int) = 0 % 145.27/94.38 | (264) ! [v0] : ! [v1] : ! [v2] : ( ~ (monoid_mult(v0) = 0) | ~ (times_times(v0, v1, v1) = v2) | power_power(v0, v1, all_0_67_67) = v2) % 145.27/94.38 | (265) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less_eq(int, v2, v3) = 0 & bit1(v1) = v3 & bit1(v0) = v2)) % 145.27/94.38 | (266) number_number_of(nat, all_0_80_80) = all_0_79_79 % 145.27/94.38 | (267) bit0(all_0_98_98) = all_0_27_27 % 145.27/94.38 | (268) bit1(pls) = all_0_98_98 % 145.27/94.38 | (269) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (comm_semiring_1(v2) = v5 & plus_plus(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.38 | (270) bit0(all_0_98_98) = all_0_70_70 % 145.27/94.38 | (271) power_power(int, s, all_0_79_79) = all_0_78_78 % 145.27/94.38 | (272) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v3 & ord_less(int, v0, pls) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (273) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & linorder(v0) = v5) | ( ~ (v5 = 0) & ord_less(v0, v4, v3) = v5))) % 145.27/94.38 | (274) bit0(all_0_98_98) = all_0_82_82 % 145.27/94.38 | (275) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v3, v1) = v4 & plus_plus(int, v0, all_0_92_92) = v3)) % 145.27/94.38 | (276) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v1, v2) = v3) | ~ (times_times(int, v0, v3) = v4) | ? [v5] : (times_times(int, v5, v2) = v4 & times_times(int, v0, v1) = v5)) % 145.27/94.38 | (277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v5, v4) = v8 & times_times(v0, v3, v8) = v7)) % 145.27/94.38 | (278) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v6 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) % 145.27/94.38 | (279) number_number_of(nat, all_0_82_82) = all_0_81_81 % 145.27/94.38 | (280) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v3, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ? [v5] : (power_power(int, v0, v5) = v4 & times_times(nat, v1, v2) = v5)) % 145.27/94.38 | (281) ti(int, t) = t % 145.27/94.38 | (282) times_times(int, all_0_44_44, m) = all_0_43_43 % 145.27/94.38 | (283) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (monoid_mult(v2) = v3 & times_times(v2, v0, v1) = v4 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) % 145.27/94.38 | (284) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) | ~ (plus_plus(int, v0, v3) = v4) | ? [v5] : (plus_plus(int, v1, v5) = v4 & plus_plus(int, v0, v2) = v5)) % 145.27/94.38 | (285) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_one(v2) = v1) | ~ (one_one(v2) = v0)) % 145.27/94.38 | (286) comm_semiring_1(nat) = 0 % 145.27/94.38 | (287) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, v1, pls) = v2 & ord_less(int, v0, pls) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (288) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (comm_semiring_1(v2) = v4 & plus_plus(v2, v0, v5) = v6 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | v6 = v3))) % 145.27/94.38 | (289) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.38 | (290) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit1(v1) = v4 & bit0(v0) = v3)) % 145.27/94.38 | (291) ! [v0] : ! [v1] : ( ~ (ord_less_eq(int, v0, v1) = 0) | ? [v2] : (ord_less(int, v0, v2) = 0 & plus_plus(int, v1, all_0_92_92) = v2)) % 145.27/94.38 | (292) ! [v0] : ( ~ (ord_less_eq(int, pls, v0) = 0) | ? [v1] : (ord_less(int, pls, v1) = 0 & bit1(v0) = v1)) % 145.27/94.38 | (293) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ti(v3, v2) = v1) | ~ (ti(v3, v2) = v0)) % 145.27/94.38 | (294) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v3, v4) = v6) | ~ (times_times(v0, v1, v2) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : (times_times(v0, v2, v6) = v8 & times_times(v0, v1, v8) = v7)) % 145.27/94.38 | (295) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v1) = v2) | ~ (bit1(v0) = v2)) % 145.27/94.38 | (296) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) % 145.27/94.38 | (297) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v1) = v4 & bit1(v0) = v3)) % 145.27/94.38 | (298) bit0(all_0_98_98) = all_0_64_64 % 145.27/94.38 | (299) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (twoSqu33214720sum2sq(v1) = v3 & twoSqu33214720sum2sq(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) % 145.27/94.38 | (301) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (times_times(v0, v5, v6) = v7) | ~ (times_times(v0, v2, v4) = v6) | ~ (times_times(v0, v1, v3) = v5) | ~ (comm_semiring_1(v0) = 0) | ? [v8] : ? [v9] : (times_times(v0, v8, v9) = v7 & times_times(v0, v3, v4) = v9 & times_times(v0, v1, v2) = v8)) % 145.27/94.38 | (302) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (zprime(v1) = v3 & zprime(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (303) number_number_of(int, all_0_54_54) = all_0_52_52 % 145.27/94.38 | (304) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (plus_plus(nat, v1, v2) = v3) | ? [v5] : ? [v6] : (power_power(int, v0, v2) = v6 & power_power(int, v0, v1) = v5 & times_times(int, v5, v6) = v4)) % 145.27/94.38 | (305) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (linordered_idom(v0) = 0) | ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less_eq(int, v1, v2) = 0) | ( ~ (v5 = 0) & number_ring(v0) = v5))) % 145.27/94.38 | (306) number_number_of(nat, all_0_10_10) = all_0_9_9 % 145.27/94.38 | (307) plus_plus(int, all_0_74_74, all_0_92_92) = all_0_73_73 % 145.27/94.38 | (308) ! [v0] : ! [v1] : (v1 = 0 | ~ (ord_less_eq(int, pls, v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ord_less(int, pls, v2) = v3 & bit1(v0) = v2)) % 145.27/94.38 | (309) plus_plus(int, all_0_6_6, all_0_92_92) = all_0_5_5 % 145.27/94.38 | (310) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less_eq(int, v2, v3) = v4) | ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v0, v1) = v5)) % 145.27/94.38 | (311) one_one(int) = all_0_92_92 % 145.27/94.38 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_ring(v0) = 0) | ~ (ord_less(v0, v3, v4) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : ((v5 = 0 & ord_less(int, v1, v2) = 0) | ( ~ (v5 = 0) & linordered_idom(v0) = v5))) % 145.27/94.38 | (313) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v0, v5) = v6 & ord_less_eq(v2, v0, v1) = v7 & linorder(v2) = v4 & number(v2) = v3 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))) % 145.27/94.38 | (314) bit0(all_0_98_98) = all_0_84_84 % 145.27/94.38 | (315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v0, v1, v2) = v3) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v2, v1) = v3) % 145.27/94.38 | (316) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_ring(v0) = 0) | ~ (ord_less_eq(int, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ord_less_eq(v0, v3, v4) = 0 & number_number_of(v0, v2) = v4 & number_number_of(v0, v1) = v3) | ( ~ (v3 = 0) & linordered_idom(v0) = v3))) % 145.27/94.38 | (317) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, all_0_56_56) = v1) | ~ (times_times(v0, v4, v3) = v5) | ~ (times_times(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v7 & power_power(v0, v6, all_0_55_55) = v7 & power_power(v0, v3, all_0_55_55) = v9 & power_power(v0, v2, all_0_55_55) = v8 & plus_plus(v0, v10, v5) = v7 & plus_plus(v0, v8, v9) = v10 & plus_plus(v0, v2, v3) = v6) | ( ~ (v6 = 0) & number_semiring(v0) = v6))) % 145.27/94.38 | (318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_ring(v0) = 0) | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ? [v4] : ( ~ (v4 = 0) & ring_char_0(v0) = v4)) % 145.27/94.38 | (319) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : (ord_less_eq(int, v2, v1) = 0 & plus_plus(int, v0, all_0_92_92) = v2)) % 145.27/94.38 | (320) bit0(all_0_98_98) = all_0_49_49 % 145.27/94.38 | (321) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v1, v4) = v5) | ~ (times_times(nat, v2, v3) = v4) | ~ (comm_semiring_1(v0) = 0) | ? [v6] : (power_power(v0, v6, v3) = v5 & power_power(v0, v1, v2) = v6)) % 145.27/94.38 | (322) ~ (all_0_87_87 = 0) % 145.27/94.38 | (323) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (twoSqu33214720sum2sq(v1) = v2 & twoSqu33214720sum2sq(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.38 | (324) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit1(v0) = v2) | ~ (bit1(v0) = v1)) % 145.27/94.38 | (325) ! [v0] : ! [v1] : (v1 = v0 | ~ (number_number_of(int, v0) = v1)) % 145.27/94.38 | (326) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v4) = v5) | ~ (plus_plus(v0, v1, v3) = v4) | ? [v6] : (plus_plus(v0, v2, v3) = v6 & plus_plus(v0, v1, v6) = v5)) % 145.27/94.38 | (327) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (times_times(nat, v1, v2) = v3) | ? [v5] : (power_power(int, v5, v2) = v4 & power_power(int, v0, v1) = v5)) % 145.27/94.38 | (328) ! [v0] : ! [v1] : ( ~ (plus_plus(nat, v0, v0) = v1) | times_times(nat, all_0_81_81, v0) = v1) % 145.27/94.38 | (329) ! [v0] : ! [v1] : ( ~ (times_times(nat, all_0_81_81, v0) = v1) | plus_plus(nat, v0, v0) = v1) % 145.27/94.38 | (330) times_times(int, all_0_35_35, m) = all_0_34_34 % 145.27/94.38 | (331) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less_eq(int, v3, v4) = v5 & bit0(v1) = v4 & bit0(v0) = v3)) % 145.27/94.38 | (332) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (zprime(v2) = v3 & zprime(v0) = v1 & ti(int, v0) = v2 & ( ~ (v1 = 0) | v3 = 0)) % 145.27/94.38 | (333) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (linordered_idom(v0) = 0) | ~ (ord_less(v0, v3, v4) = v5) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v6] : (( ~ (v6 = 0) & number_ring(v0) = v6) | ( ~ (v6 = 0) & ord_less(int, v1, v2) = v6))) % 145.27/94.38 | (334) ! [v0] : ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1) % 145.27/94.38 | (335) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : (monoid_mult(v2) = v5 & times_times(v2, v0, v1) = v6 & ( ~ (v5 = 0) | v6 = v4))) % 145.27/94.38 | (336) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v2, v0) = 0) | ~ (ord_less_eq(int, v1, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & ord_less_eq(int, v1, v2) = v4)) % 145.27/94.39 | (337) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v4 & ord_less(v2, v0, v5) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v3 & ti(v2, v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0)))) % 145.27/94.39 | (338) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(int, v2, all_0_98_98) = v3) | ~ (one_one(v0) = v1) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v5 & number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v4, v1) = v5) | ( ~ (v4 = 0) & number_ring(v0) = v4))) % 145.27/94.39 | (339) ord_less(int, all_0_92_92, t) = all_0_22_22 % 145.27/94.39 | (340) ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : (one_one(v0) = v1 & ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(v0, v3, v1) = v4 & plus_plus(int, v2, all_0_98_98) = v5)) & ! [v2] : ! [v3] : ( ~ (plus_plus(int, v2, all_0_98_98) = v3) | ? [v4] : ? [v5] : (number_number_of(v0, v3) = v5 & number_number_of(v0, v2) = v4 & plus_plus(v0, v4, v1) = v5)))) % 145.27/94.39 | (341) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) % 145.27/94.39 | (342) plus_plus(int, all_0_43_43, all_0_92_92) = all_0_42_42 % 145.27/94.39 | (343) ! [v0] : ~ (ord_less(int, v0, v0) = 0) % 145.27/94.39 | (344) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2)) % 145.27/94.39 | (345) ord_less(int, pls, pls) = all_0_87_87 % 145.27/94.39 | (346) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) % 145.27/94.39 | (347) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v5 & ord_less(v2, v6, v1) = v7 & number(v2) = v4 & ti(v2, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) % 145.27/94.39 | (348) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v5, v6) = v7) | ~ (plus_plus(v0, v3, v4) = v6) | ~ (plus_plus(v0, v1, v2) = v5) | ? [v8] : ? [v9] : (plus_plus(v0, v8, v9) = v7 & plus_plus(v0, v2, v4) = v9 & plus_plus(v0, v1, v3) = v8)) % 145.27/94.39 | (349) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ord_less(int, v3, v4) = v5 & bit1(v1) = v4 & bit0(v0) = v3)) % 145.27/94.39 | (350) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : ? [v3] : (zprime(v1) = v2 & zprime(v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.39 | (351) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (number_ring(v0) = 0) | ~ (ord_less(int, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v6 = 0) & ord_less(v0, v4, v5) = v6 & number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v4) | ( ~ (v4 = 0) & linordered_idom(v0) = v4))) % 145.27/94.39 | (352) number_number_of(nat, all_0_66_66) = all_0_65_65 % 145.27/94.39 | (353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (ord_less(v4, v3, v2) = v1) | ~ (ord_less(v4, v3, v2) = v0)) % 145.27/94.39 | (354) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v3) = v5) | ~ (plus_plus(v0, v1, v2) = v4) | ? [v6] : (plus_plus(v0, v2, v3) = v6 & plus_plus(v0, v1, v6) = v5)) % 145.27/94.39 | (355) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) % 145.27/94.39 | (356) ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less_eq(int, v1, pls) = 0 & bit1(v0) = v1)) % 145.27/94.39 | (357) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v1, all_0_65_65) = v2) | ~ (comm_semiring_1(v0) = 0) | times_times(v0, v1, v1) = v2) % 145.27/94.39 | (358) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (linorder(v2) = v6 & ord_less(v2, v0, v1) = v7 & number(v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) % 145.27/94.39 | (359) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : ? [v3] : (ord_less(int, pls, v1) = v2 & ord_less(int, pls, v0) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.39 | (360) ? [v0] : ? [v1] : ? [v2] : (number_semiring(v0) = v1 & number_number_of(v0, all_0_56_56) = v2 & ( ~ (v1 = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (power_power(v0, v5, all_0_55_55) = v6 & power_power(v0, v4, all_0_55_55) = v8 & power_power(v0, v3, all_0_55_55) = v7 & times_times(v0, v10, v4) = v11 & times_times(v0, v2, v3) = v10 & plus_plus(v0, v9, v11) = v6 & plus_plus(v0, v7, v8) = v9 & plus_plus(v0, v3, v4) = v5))) % 145.27/94.39 | (361) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (ring_char_0(v0) = 0) | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ? [v4] : ( ~ (v4 = 0) & number_ring(v0) = v4)) % 145.27/94.39 | (362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (ord_less_eq(int, v2, v1) = v3) | ~ (plus_plus(int, v0, all_0_92_92) = v2) | ? [v4] : ( ~ (v4 = 0) & ord_less(int, v0, v1) = v4)) % 145.27/94.39 | (363) number_number_of(nat, all_0_84_84) = all_0_83_83 % 145.27/94.39 | (364) number_number_of(int, all_0_49_49) = all_0_47_47 % 145.27/94.39 | (365) bit0(all_0_98_98) = all_0_62_62 % 145.27/94.39 | (366) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (ring_char_0(v0) = 0) | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & number_ring(v0) = v4)) % 145.27/94.39 | (367) times_times(int, all_0_18_18, m) = all_0_17_17 % 145.27/94.39 | (368) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : ? [v3] : (ord_less_eq(int, pls, v0) = v2 & ord_less(int, pls, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 145.27/94.39 | (369) linorder(int) = 0 % 145.27/94.39 | (370) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : (power_power(v0, v1, all_0_63_63) = v3 & semiring_1(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) % 145.27/94.39 | (371) ! [v0] : ( ~ (semiring_1(v0) = 0) | ? [v1] : (power_power(v0, v1, all_0_63_63) = v1 & one_one(v0) = v1)) % 145.27/94.39 | (372) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v5, v6) = v7) | ~ (plus_plus(v0, v2, v4) = v6) | ~ (plus_plus(v0, v1, v3) = v5) | ? [v8] : ? [v9] : (plus_plus(v0, v8, v9) = v7 & plus_plus(v0, v3, v4) = v9 & plus_plus(v0, v1, v2) = v8)) % 145.27/94.39 | (373) number_number_of(nat, all_0_40_40) = all_0_39_39 % 145.27/94.39 | (374) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_91_91 % 145.27/94.39 | (375) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less(int, v2, v3) = 0) | ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ord_less(int, v0, v1) = 0) % 145.27/94.39 | (376) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) | ~ (plus_plus(int, v0, v3) = v4) | ? [v5] : (plus_plus(int, v5, v2) = v4 & plus_plus(int, v0, v1) = v5)) % 145.27/94.39 | (377) bit0(all_0_98_98) = all_0_40_40 % 145.27/94.39 | (378) ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less_eq(int, v2, v1) = 0) | ~ (plus_plus(int, v0, all_0_92_92) = v2) | ord_less(int, v0, v1) = 0) % 145.27/94.39 | (379) ! [v0] : ( ~ (zprime(v0) = 0) | ? [v1] : (zprime(v1) = 0 & ti(int, v0) = v1)) % 145.27/94.39 | (380) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(int, v2, v1) = v3) | ~ (times_times(int, all_0_47_47, v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (power_power(int, v4, all_0_48_48) = v5 & power_power(int, v1, all_0_48_48) = v8 & power_power(int, v0, all_0_48_48) = v6 & plus_plus(int, v7, v8) = v5 & plus_plus(int, v6, v3) = v7 & plus_plus(int, v0, v1) = v4)) % 145.27/94.39 | (381) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (zprime(v2) = v1) | ~ (zprime(v2) = v0)) % 145.27/94.39 | (382) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (ord_less_eq(v0, v3, v4) = 0) | ~ (linorder(v0) = 0) | ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ? [v5] : (( ~ (v5 = 0) & ord_less(v0, v4, v3) = v5) | ( ~ (v5 = 0) & number(v0) = v5))) % 145.27/94.39 | (383) bit0(all_0_98_98) = all_0_71_71 % 145.27/94.39 | (384) zprime(all_0_28_28) = 0 % 145.27/94.39 | (385) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (ord_less_eq(v2, v6, v1) = v7 & linorder(v2) = v5 & number(v2) = v4 & ti(v2, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | (( ~ (v7 = 0) | v3 = 0) & ( ~ (v3 = 0) | v7 = 0))))) % 145.27/94.39 | (386) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ord_less_eq(int, v2, v3) = 0) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ord_less(int, v0, v1) = 0) % 145.27/94.39 | (387) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_71_71) = v1) | ? [v2] : ? [v3] : ? [v4] : (number_ring(v0) = v2 & plus_plus(v0, v3, v3) = v4 & one_one(v0) = v3 & ( ~ (v2 = 0) | v4 = v1))) % 145.27/94.39 | (388) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v1, v2) = v3) | plus_plus(v0, v2, v1) = v3) % 145.27/94.39 | (389) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v2, v1) = v3) | plus_plus(v0, v1, v2) = v3) % 145.27/94.39 | (390) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v0, v1) = v2) | ~ (monoid_mult(v0) = 0) | ? [v3] : ? [v4] : ((v4 = v3 & power_power(v0, v2, all_0_57_57) = v3 & times_times(v0, v2, v2) = v3) | ( ~ (v3 = 0) & number(v0) = v3))) % 145.27/94.39 | (391) bit0(all_0_21_21) = all_0_19_19 % 145.27/94.39 | (392) bit0(all_0_98_98) = all_0_90_90 % 145.27/94.39 | (393) number_number_of(nat, all_0_64_64) = all_0_63_63 % 145.27/94.39 | (394) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (ord_less_eq(int, v3, v4) = v5) | ~ (plus_plus(int, v0, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & ord_less_eq(int, v1, v2) = v6)) % 145.27/94.39 | (395) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (power_power(v2, v0, v1) = v4 & monoid_mult(v2) = v3 & ti(v2, v4) = v5 & ( ~ (v3 = 0) | v5 = v4)) % 145.27/94.39 | (396) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(int, v1, all_0_96_96) = v3) | ~ (power_power(int, v0, all_0_96_96) = v2) | ~ (plus_plus(int, v2, v3) = all_0_91_91)) % 145.27/94.39 | (397) number_number_of(int, all_0_95_95) = all_0_94_94 % 145.27/94.39 | (398) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (ord_less(int, v2, v3) = v4) | ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & ord_less(int, v0, v1) = v5)) % 145.27/94.39 | (399) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (ord_less_eq(int, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & ord_less(int, v0, v1) = v3)) % 145.27/94.39 | (400) bit1(all_0_98_98) = all_0_60_60 % 145.27/94.39 | (401) ! [v0] : ! [v1] : ( ~ (ord_less(int, v0, v1) = 0) | ? [v2] : ? [v3] : (ord_less(int, v2, v3) = 0 & number_number_of(int, v1) = v3 & number_number_of(int, v0) = v2)) % 145.27/94.39 | (402) number_number_of(nat, all_0_54_54) = all_0_53_53 % 145.27/94.39 | (403) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (comm_semiring_1(v0) = 0) | ~ (plus_plus(v0, v4, v2) = v5) | ~ (plus_plus(v0, v1, v3) = v4) | ? [v6] : (plus_plus(v0, v6, v3) = v5 & plus_plus(v0, v1, v2) = v6)) % 145.27/94.39 | (404) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ? [v3] : ? [v4] : (number(v1) = v3 & ti(v1, v2) = v4 & ( ~ (v3 = 0) | v4 = v2))) % 145.27/94.40 | (405) ! [v0] : ( ~ (ord_less(int, v0, pls) = 0) | ? [v1] : (ord_less(int, v1, pls) = 0 & bit0(v0) = v1)) % 145.27/94.40 | (406) ! [v0] : ( ~ (number_ring(v0) = 0) | ? [v1] : ? [v2] : (number_number_of(v0, all_0_71_71) = v2 & plus_plus(v0, v1, v1) = v2 & one_one(v0) = v1)) % 145.27/94.40 | (407) ~ (all_0_92_92 = t) | (all_0_0_0 = all_0_5_5 & power_power(int, all_0_3_3, all_0_9_9) = all_0_1_1 & power_power(int, all_0_4_4, all_0_9_9) = all_0_2_2 & plus_plus(int, all_0_2_2, all_0_1_1) = all_0_5_5) % 145.27/94.40 | (408) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (times_times(v4, v3, v2) = v1) | ~ (times_times(v4, v3, v2) = v0)) % 145.27/94.40 | (409) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2) % 145.27/94.40 | (410) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2) % 145.27/94.40 | (411) ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_61_61) = v1) | ? [v2] : (power_power(int, v0, all_0_59_59) = v2 & times_times(int, v0, v1) = v2)) % 145.27/94.40 | (412) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ? [v2] : ? [v3] : (semiring_1(v0) = v2 & ti(v0, v1) = v3 & ( ~ (v2 = 0) | v3 = v1))) % 145.27/94.40 | (413) ! [v0] : ! [v1] : ! [v2] : ( ~ (ord_less(int, v0, v2) = 0) | ~ (plus_plus(int, v1, all_0_92_92) = v2) | ord_less_eq(int, v0, v1) = 0) % 145.27/94.40 | % 145.27/94.40 | Instantiating (123) with all_31_0_191, all_31_1_192, all_31_2_193, all_31_3_194, all_31_4_195, all_31_5_196 yields: % 145.27/94.40 | (414) ord_less_eq(int, all_31_2_193, all_31_1_192) = all_31_0_191 & ord_less_eq(int, all_31_5_196, all_31_4_195) = all_31_3_194 & bit1(all_31_4_195) = all_31_1_192 & bit0(all_31_5_196) = all_31_2_193 & ( ~ (all_31_3_194 = 0) | all_31_0_191 = 0) % 145.27/94.40 | % 145.27/94.40 | Applying alpha-rule on (414) yields: % 145.27/94.40 | (415) ~ (all_31_3_194 = 0) | all_31_0_191 = 0 % 145.27/94.40 | (416) ord_less_eq(int, all_31_5_196, all_31_4_195) = all_31_3_194 % 145.27/94.40 | (417) ord_less_eq(int, all_31_2_193, all_31_1_192) = all_31_0_191 % 145.27/94.40 | (418) bit0(all_31_5_196) = all_31_2_193 % 145.27/94.40 | (419) bit1(all_31_4_195) = all_31_1_192 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_7_7, all_0_8_8 and discharging atoms number_number_of(int, all_0_8_8) = all_0_7_7, yields: % 145.27/94.40 | (420) all_0_7_7 = all_0_8_8 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_18_18, all_0_19_19 and discharging atoms number_number_of(int, all_0_19_19) = all_0_18_18, yields: % 145.27/94.40 | (421) all_0_18_18 = all_0_19_19 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_25_25, all_0_26_26 and discharging atoms number_number_of(int, all_0_26_26) = all_0_25_25, yields: % 145.27/94.40 | (422) all_0_25_25 = all_0_26_26 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_30_30, all_0_31_31 and discharging atoms number_number_of(int, all_0_31_31) = all_0_30_30, yields: % 145.27/94.40 | (423) all_0_30_30 = all_0_31_31 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_35_35, all_0_36_36 and discharging atoms number_number_of(int, all_0_36_36) = all_0_35_35, yields: % 145.27/94.40 | (424) all_0_35_35 = all_0_36_36 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_44_44, all_0_45_45 and discharging atoms number_number_of(int, all_0_45_45) = all_0_44_44, yields: % 145.27/94.40 | (425) all_0_44_44 = all_0_45_45 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_52_52, all_0_54_54 and discharging atoms number_number_of(int, all_0_54_54) = all_0_52_52, yields: % 145.27/94.40 | (426) all_0_52_52 = all_0_54_54 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_75_75, all_0_76_76 and discharging atoms number_number_of(int, all_0_76_76) = all_0_75_75, yields: % 145.27/94.40 | (427) all_0_75_75 = all_0_76_76 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_89_89, all_0_90_90 and discharging atoms number_number_of(int, all_0_90_90) = all_0_89_89, yields: % 145.27/94.40 | (428) all_0_89_89 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (325) with all_0_94_94, all_0_95_95 and discharging atoms number_number_of(int, all_0_95_95) = all_0_94_94, yields: % 145.27/94.40 | (429) all_0_94_94 = all_0_95_95 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (324) with all_0_60_60, all_0_54_54, all_0_98_98 and discharging atoms bit1(all_0_98_98) = all_0_54_54, bit1(all_0_98_98) = all_0_60_60, yields: % 145.27/94.40 | (430) all_0_54_54 = all_0_60_60 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_21_21, all_0_10_10, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_10_10, bit0(all_0_98_98) = all_0_21_21, yields: % 145.27/94.40 | (431) all_0_10_10 = all_0_21_21 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_32_32, all_0_27_27, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_27_27, bit0(all_0_98_98) = all_0_32_32, yields: % 145.27/94.40 | (432) all_0_27_27 = all_0_32_32 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_40_40, all_0_32_32, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_32_32, bit0(all_0_98_98) = all_0_40_40, yields: % 145.27/94.40 | (433) all_0_32_32 = all_0_40_40 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_46_46, all_0_40_40, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_40_40, bit0(all_0_98_98) = all_0_46_46, yields: % 145.27/94.40 | (434) all_0_40_40 = all_0_46_46 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_51_51, all_0_21_21, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_21_21, bit0(all_0_98_98) = all_0_51_51, yields: % 145.27/94.40 | (435) all_0_21_21 = all_0_51_51 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_56_56, all_0_46_46, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_46_46, bit0(all_0_98_98) = all_0_56_56, yields: % 145.27/94.40 | (436) all_0_46_46 = all_0_56_56 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_58_58, all_0_49_49, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_49_49, bit0(all_0_98_98) = all_0_58_58, yields: % 145.27/94.40 | (437) all_0_49_49 = all_0_58_58 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_66_66, all_0_56_56, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_56_56, bit0(all_0_98_98) = all_0_66_66, yields: % 145.27/94.40 | (438) all_0_56_56 = all_0_66_66 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_66_66, all_0_58_58, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_58_58, bit0(all_0_98_98) = all_0_66_66, yields: % 145.27/94.40 | (439) all_0_58_58 = all_0_66_66 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_68_68, all_0_27_27, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_27_27, bit0(all_0_98_98) = all_0_68_68, yields: % 145.27/94.40 | (440) all_0_27_27 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_70_70, all_0_64_64, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_64_64, bit0(all_0_98_98) = all_0_70_70, yields: % 145.27/94.40 | (441) all_0_64_64 = all_0_70_70 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_70_70, all_0_66_66, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_66_66, bit0(all_0_98_98) = all_0_70_70, yields: % 145.27/94.40 | (442) all_0_66_66 = all_0_70_70 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_71_71, all_0_64_64, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_64_64, bit0(all_0_98_98) = all_0_71_71, yields: % 145.27/94.40 | (443) all_0_64_64 = all_0_71_71 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_80_80, all_0_64_64, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_64_64, bit0(all_0_98_98) = all_0_80_80, yields: % 145.27/94.40 | (444) all_0_64_64 = all_0_80_80 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_82_82, all_0_62_62, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_62_62, bit0(all_0_98_98) = all_0_82_82, yields: % 145.27/94.40 | (445) all_0_62_62 = all_0_82_82 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_82_82, all_0_80_80, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_80_80, bit0(all_0_98_98) = all_0_82_82, yields: % 145.27/94.40 | (446) all_0_80_80 = all_0_82_82 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_84_84, all_0_51_51, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_51_51, bit0(all_0_98_98) = all_0_84_84, yields: % 145.27/94.40 | (447) all_0_51_51 = all_0_84_84 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_84_84, all_0_62_62, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_62_62, bit0(all_0_98_98) = all_0_84_84, yields: % 145.27/94.40 | (448) all_0_62_62 = all_0_84_84 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_85_85, all_0_62_62, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_62_62, bit0(all_0_98_98) = all_0_85_85, yields: % 145.27/94.40 | (449) all_0_62_62 = all_0_85_85 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_90_90, all_0_49_49, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_49_49, bit0(all_0_98_98) = all_0_90_90, yields: % 145.27/94.40 | (450) all_0_49_49 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Instantiating formula (166) with all_0_97_97, all_0_10_10, all_0_98_98 and discharging atoms bit0(all_0_98_98) = all_0_10_10, bit0(all_0_98_98) = all_0_97_97, yields: % 145.27/94.40 | (451) all_0_10_10 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (431,451) yields a new equation: % 145.27/94.40 | (452) all_0_21_21 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Simplifying 452 yields: % 145.27/94.40 | (453) all_0_21_21 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (435,453) yields a new equation: % 145.27/94.40 | (454) all_0_51_51 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Simplifying 454 yields: % 145.27/94.40 | (455) all_0_51_51 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (432,440) yields a new equation: % 145.27/94.40 | (456) all_0_32_32 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Simplifying 456 yields: % 145.27/94.40 | (457) all_0_32_32 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Combining equations (433,457) yields a new equation: % 145.27/94.40 | (458) all_0_40_40 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Simplifying 458 yields: % 145.27/94.40 | (459) all_0_40_40 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Combining equations (434,459) yields a new equation: % 145.27/94.40 | (460) all_0_46_46 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Simplifying 460 yields: % 145.27/94.40 | (461) all_0_46_46 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Combining equations (436,461) yields a new equation: % 145.27/94.40 | (462) all_0_56_56 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Simplifying 462 yields: % 145.27/94.40 | (463) all_0_56_56 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Combining equations (437,450) yields a new equation: % 145.27/94.40 | (464) all_0_58_58 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 464 yields: % 145.27/94.40 | (465) all_0_58_58 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (447,455) yields a new equation: % 145.27/94.40 | (466) all_0_84_84 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Simplifying 466 yields: % 145.27/94.40 | (467) all_0_84_84 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (438,463) yields a new equation: % 145.27/94.40 | (468) all_0_66_66 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Simplifying 468 yields: % 145.27/94.40 | (469) all_0_66_66 = all_0_68_68 % 145.27/94.40 | % 145.27/94.40 | Combining equations (439,465) yields a new equation: % 145.27/94.40 | (470) all_0_66_66 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 470 yields: % 145.27/94.40 | (471) all_0_66_66 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (445,449) yields a new equation: % 145.27/94.40 | (472) all_0_82_82 = all_0_85_85 % 145.27/94.40 | % 145.27/94.40 | Simplifying 472 yields: % 145.27/94.40 | (473) all_0_82_82 = all_0_85_85 % 145.27/94.40 | % 145.27/94.40 | Combining equations (448,449) yields a new equation: % 145.27/94.40 | (474) all_0_84_84 = all_0_85_85 % 145.27/94.40 | % 145.27/94.40 | Simplifying 474 yields: % 145.27/94.40 | (475) all_0_84_84 = all_0_85_85 % 145.27/94.40 | % 145.27/94.40 | Combining equations (441,443) yields a new equation: % 145.27/94.40 | (476) all_0_70_70 = all_0_71_71 % 145.27/94.40 | % 145.27/94.40 | Simplifying 476 yields: % 145.27/94.40 | (477) all_0_70_70 = all_0_71_71 % 145.27/94.40 | % 145.27/94.40 | Combining equations (444,443) yields a new equation: % 145.27/94.40 | (478) all_0_71_71 = all_0_80_80 % 145.27/94.40 | % 145.27/94.40 | Combining equations (442,469) yields a new equation: % 145.27/94.40 | (479) all_0_68_68 = all_0_70_70 % 145.27/94.40 | % 145.27/94.40 | Combining equations (471,469) yields a new equation: % 145.27/94.40 | (480) all_0_68_68 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (479,480) yields a new equation: % 145.27/94.40 | (481) all_0_70_70 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 481 yields: % 145.27/94.40 | (482) all_0_70_70 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (477,482) yields a new equation: % 145.27/94.40 | (483) all_0_71_71 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 483 yields: % 145.27/94.40 | (484) all_0_71_71 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (478,484) yields a new equation: % 145.27/94.40 | (485) all_0_80_80 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 485 yields: % 145.27/94.40 | (486) all_0_80_80 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (446,486) yields a new equation: % 145.27/94.40 | (487) all_0_82_82 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 487 yields: % 145.27/94.40 | (488) all_0_82_82 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (473,488) yields a new equation: % 145.27/94.40 | (489) all_0_85_85 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Simplifying 489 yields: % 145.27/94.40 | (490) all_0_85_85 = all_0_90_90 % 145.27/94.40 | % 145.27/94.40 | Combining equations (475,467) yields a new equation: % 145.27/94.40 | (491) all_0_85_85 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Simplifying 491 yields: % 145.27/94.40 | (492) all_0_85_85 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (490,492) yields a new equation: % 145.27/94.40 | (493) all_0_90_90 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Simplifying 493 yields: % 145.27/94.40 | (494) all_0_90_90 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,428) yields a new equation: % 145.27/94.40 | (495) all_0_89_89 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,488) yields a new equation: % 145.27/94.40 | (496) all_0_82_82 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,486) yields a new equation: % 145.27/94.40 | (497) all_0_80_80 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,484) yields a new equation: % 145.27/94.40 | (498) all_0_71_71 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,482) yields a new equation: % 145.27/94.40 | (499) all_0_70_70 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,480) yields a new equation: % 145.27/94.40 | (500) all_0_68_68 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,469) yields a new equation: % 145.27/94.40 | (501) all_0_66_66 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (498,443) yields a new equation: % 145.27/94.40 | (502) all_0_64_64 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (492,449) yields a new equation: % 145.27/94.40 | (503) all_0_62_62 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,465) yields a new equation: % 145.27/94.40 | (504) all_0_58_58 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,463) yields a new equation: % 145.27/94.40 | (505) all_0_56_56 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (430,426) yields a new equation: % 145.27/94.40 | (506) all_0_52_52 = all_0_60_60 % 145.27/94.40 | % 145.27/94.40 | Combining equations (494,450) yields a new equation: % 145.27/94.40 | (507) all_0_49_49 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,461) yields a new equation: % 145.27/94.40 | (508) all_0_46_46 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,459) yields a new equation: % 145.27/94.40 | (509) all_0_40_40 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,457) yields a new equation: % 145.27/94.40 | (510) all_0_32_32 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | Combining equations (500,440) yields a new equation: % 145.27/94.40 | (511) all_0_27_27 = all_0_97_97 % 145.27/94.40 | % 145.27/94.40 | From (451) and (306) follows: % 145.27/94.41 | (512) number_number_of(nat, all_0_97_97) = all_0_9_9 % 145.27/94.41 | % 145.27/94.41 | From (453) and (86) follows: % 145.27/94.41 | (513) number_number_of(nat, all_0_97_97) = all_0_20_20 % 145.27/94.41 | % 145.27/94.41 | From (509) and (373) follows: % 145.27/94.41 | (514) number_number_of(nat, all_0_97_97) = all_0_39_39 % 145.27/94.41 | % 145.27/94.41 | From (507) and (60) follows: % 145.27/94.41 | (515) number_number_of(nat, all_0_97_97) = all_0_48_48 % 145.27/94.41 | % 145.27/94.41 | From (455) and (181) follows: % 145.27/94.41 | (516) number_number_of(nat, all_0_97_97) = all_0_50_50 % 145.27/94.41 | % 145.27/94.41 | From (505) and (113) follows: % 145.27/94.41 | (517) number_number_of(nat, all_0_97_97) = all_0_55_55 % 145.27/94.41 | % 145.27/94.41 | From (504) and (18) follows: % 145.27/94.41 | (518) number_number_of(nat, all_0_97_97) = all_0_57_57 % 145.27/94.41 | % 145.27/94.41 | From (503) and (202) follows: % 145.27/94.41 | (519) number_number_of(nat, all_0_97_97) = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | From (502) and (393) follows: % 145.27/94.41 | (520) number_number_of(nat, all_0_97_97) = all_0_63_63 % 145.27/94.41 | % 145.27/94.41 | From (501) and (352) follows: % 145.27/94.41 | (521) number_number_of(nat, all_0_97_97) = all_0_65_65 % 145.27/94.41 | % 145.27/94.41 | From (500) and (228) follows: % 145.27/94.41 | (522) number_number_of(nat, all_0_97_97) = all_0_67_67 % 145.27/94.41 | % 145.27/94.41 | From (499) and (195) follows: % 145.27/94.41 | (523) number_number_of(nat, all_0_97_97) = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | From (497) and (266) follows: % 145.27/94.41 | (524) number_number_of(nat, all_0_97_97) = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | From (496) and (279) follows: % 145.27/94.41 | (525) number_number_of(nat, all_0_97_97) = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | From (467) and (363) follows: % 145.27/94.41 | (526) number_number_of(nat, all_0_97_97) = all_0_83_83 % 145.27/94.41 | % 145.27/94.41 | From (492) and (112) follows: % 145.27/94.41 | (527) number_number_of(nat, all_0_97_97) = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | From (430)(506) and (303) follows: % 145.27/94.41 | (528) number_number_of(int, all_0_60_60) = all_0_60_60 % 145.27/94.41 | % 145.27/94.41 | From (427) and (200) follows: % 145.27/94.41 | (529) number_number_of(int, all_0_76_76) = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | From (494)(495) and (169) follows: % 145.27/94.41 | (530) number_number_of(int, all_0_97_97) = all_0_97_97 % 145.27/94.41 | % 145.27/94.41 | From (451) and (110) follows: % 145.27/94.41 | (531) bit0(all_0_97_97) = all_0_8_8 % 145.27/94.41 | % 145.27/94.41 | From (453) and (391) follows: % 145.27/94.41 | (532) bit0(all_0_97_97) = all_0_19_19 % 145.27/94.41 | % 145.27/94.41 | From (511) and (241) follows: % 145.27/94.41 | (533) bit0(all_0_97_97) = all_0_26_26 % 145.27/94.41 | % 145.27/94.41 | From (510) and (175) follows: % 145.27/94.41 | (534) bit0(all_0_97_97) = all_0_31_31 % 145.27/94.41 | % 145.27/94.41 | From (509) and (151) follows: % 145.27/94.41 | (535) bit0(all_0_97_97) = all_0_36_36 % 145.27/94.41 | % 145.27/94.41 | From (508) and (120) follows: % 145.27/94.41 | (536) bit0(all_0_97_97) = all_0_45_45 % 145.27/94.41 | % 145.27/94.41 | From (497) and (63) follows: % 145.27/94.41 | (537) bit0(all_0_97_97) = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | From (420) and (127) follows: % 145.27/94.41 | (538) times_times(int, all_0_8_8, m) = all_0_6_6 % 145.27/94.41 | % 145.27/94.41 | From (421) and (367) follows: % 145.27/94.41 | (539) times_times(int, all_0_19_19, m) = all_0_17_17 % 145.27/94.41 | % 145.27/94.41 | From (422) and (172) follows: % 145.27/94.41 | (540) times_times(int, all_0_26_26, m) = all_0_24_24 % 145.27/94.41 | % 145.27/94.41 | From (423) and (134) follows: % 145.27/94.41 | (541) times_times(int, all_0_31_31, m) = all_0_29_29 % 145.27/94.41 | % 145.27/94.41 | From (424) and (330) follows: % 145.27/94.41 | (542) times_times(int, all_0_36_36, m) = all_0_34_34 % 145.27/94.41 | % 145.27/94.41 | From (425) and (282) follows: % 145.27/94.41 | (543) times_times(int, all_0_45_45, m) = all_0_43_43 % 145.27/94.41 | % 145.27/94.41 | From (427) and (207) follows: % 145.27/94.41 | (544) times_times(int, all_0_76_76, m) = all_0_74_74 % 145.27/94.41 | % 145.27/94.41 | From (429) and (129) follows: % 145.27/94.41 | (545) times_times(int, all_0_95_95, m) = all_0_93_93 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_39_39, all_0_20_20 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_20_20, number_number_of(nat, all_0_97_97) = all_0_39_39, yields: % 145.27/94.41 | (546) all_0_20_20 = all_0_39_39 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_50_50, all_0_9_9 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_9_9, number_number_of(nat, all_0_97_97) = all_0_50_50, yields: % 145.27/94.41 | (547) all_0_9_9 = all_0_50_50 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_55_55, all_0_50_50 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_50_50, number_number_of(nat, all_0_97_97) = all_0_55_55, yields: % 145.27/94.41 | (548) all_0_50_50 = all_0_55_55 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_57_57, all_0_39_39 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_39_39, number_number_of(nat, all_0_97_97) = all_0_57_57, yields: % 145.27/94.41 | (549) all_0_39_39 = all_0_57_57 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_61_61, all_0_20_20 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_20_20, number_number_of(nat, all_0_97_97) = all_0_61_61, yields: % 145.27/94.41 | (550) all_0_20_20 = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_63_63, all_0_55_55 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_55_55, number_number_of(nat, all_0_97_97) = all_0_63_63, yields: % 145.27/94.41 | (551) all_0_55_55 = all_0_63_63 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_65_65, all_0_39_39 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_39_39, number_number_of(nat, all_0_97_97) = all_0_65_65, yields: % 145.27/94.41 | (552) all_0_39_39 = all_0_65_65 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_67_67, all_0_48_48 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_48_48, number_number_of(nat, all_0_97_97) = all_0_67_67, yields: % 145.27/94.41 | (553) all_0_48_48 = all_0_67_67 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_69_69, all_0_39_39 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_39_39, number_number_of(nat, all_0_97_97) = all_0_69_69, yields: % 145.27/94.41 | (554) all_0_39_39 = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_69_69, all_0_63_63 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_63_63, number_number_of(nat, all_0_97_97) = all_0_69_69, yields: % 145.27/94.41 | (555) all_0_63_63 = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_69_69, all_0_67_67 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_67_67, number_number_of(nat, all_0_97_97) = all_0_69_69, yields: % 145.27/94.41 | (556) all_0_67_67 = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_79_79, all_0_9_9 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_9_9, number_number_of(nat, all_0_97_97) = all_0_79_79, yields: % 145.27/94.41 | (557) all_0_9_9 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_81_81, all_0_48_48 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_48_48, number_number_of(nat, all_0_97_97) = all_0_81_81, yields: % 145.27/94.41 | (558) all_0_48_48 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_83_83, all_0_96_96 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_83_83, number_number_of(nat, all_0_97_97) = all_0_96_96, yields: % 145.27/94.41 | (559) all_0_83_83 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_83_83, all_0_69_69 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_69_69, number_number_of(nat, all_0_97_97) = all_0_83_83, yields: % 145.27/94.41 | (560) all_0_69_69 = all_0_83_83 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (250) with nat, all_0_97_97, all_0_86_86, all_0_57_57 and discharging atoms number_number_of(nat, all_0_97_97) = all_0_57_57, number_number_of(nat, all_0_97_97) = all_0_86_86, yields: % 145.27/94.41 | (561) all_0_57_57 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_26_26, all_0_95_95, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_26_26, bit0(all_0_97_97) = all_0_95_95, yields: % 145.27/94.41 | (562) all_0_26_26 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_31_31, all_0_26_26, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_26_26, bit0(all_0_97_97) = all_0_31_31, yields: % 145.27/94.41 | (563) all_0_26_26 = all_0_31_31 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_36_36, all_0_8_8, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_8_8, bit0(all_0_97_97) = all_0_36_36, yields: % 145.27/94.41 | (564) all_0_8_8 = all_0_36_36 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_36_36, all_0_19_19, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_19_19, bit0(all_0_97_97) = all_0_36_36, yields: % 145.27/94.41 | (565) all_0_19_19 = all_0_36_36 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_36_36, all_0_31_31, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_31_31, bit0(all_0_97_97) = all_0_36_36, yields: % 145.27/94.41 | (566) all_0_31_31 = all_0_36_36 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_45_45, all_0_19_19, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_19_19, bit0(all_0_97_97) = all_0_45_45, yields: % 145.27/94.41 | (567) all_0_19_19 = all_0_45_45 % 145.27/94.41 | % 145.27/94.41 | Instantiating formula (166) with all_0_76_76, all_0_8_8, all_0_97_97 and discharging atoms bit0(all_0_97_97) = all_0_8_8, bit0(all_0_97_97) = all_0_76_76, yields: % 145.27/94.41 | (568) all_0_8_8 = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | Combining equations (564,568) yields a new equation: % 145.27/94.41 | (569) all_0_36_36 = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | Simplifying 569 yields: % 145.27/94.41 | (570) all_0_36_36 = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | Combining equations (547,557) yields a new equation: % 145.27/94.41 | (571) all_0_50_50 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Simplifying 571 yields: % 145.27/94.41 | (572) all_0_50_50 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Combining equations (565,567) yields a new equation: % 145.27/94.41 | (573) all_0_36_36 = all_0_45_45 % 145.27/94.41 | % 145.27/94.41 | Simplifying 573 yields: % 145.27/94.41 | (574) all_0_36_36 = all_0_45_45 % 145.27/94.41 | % 145.27/94.41 | Combining equations (546,550) yields a new equation: % 145.27/94.41 | (575) all_0_39_39 = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | Simplifying 575 yields: % 145.27/94.41 | (576) all_0_39_39 = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | Combining equations (563,562) yields a new equation: % 145.27/94.41 | (577) all_0_31_31 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Simplifying 577 yields: % 145.27/94.41 | (578) all_0_31_31 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (566,578) yields a new equation: % 145.27/94.41 | (579) all_0_36_36 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Simplifying 579 yields: % 145.27/94.41 | (580) all_0_36_36 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (570,574) yields a new equation: % 145.27/94.41 | (581) all_0_45_45 = all_0_76_76 % 145.27/94.41 | % 145.27/94.41 | Combining equations (580,574) yields a new equation: % 145.27/94.41 | (582) all_0_45_45 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (554,576) yields a new equation: % 145.27/94.41 | (583) all_0_61_61 = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | Combining equations (549,576) yields a new equation: % 145.27/94.41 | (584) all_0_57_57 = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | Simplifying 584 yields: % 145.27/94.41 | (585) all_0_57_57 = all_0_61_61 % 145.27/94.41 | % 145.27/94.41 | Combining equations (552,576) yields a new equation: % 145.27/94.41 | (586) all_0_61_61 = all_0_65_65 % 145.27/94.41 | % 145.27/94.41 | Combining equations (581,582) yields a new equation: % 145.27/94.41 | (587) all_0_76_76 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Simplifying 587 yields: % 145.27/94.41 | (588) all_0_76_76 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (553,558) yields a new equation: % 145.27/94.41 | (589) all_0_67_67 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Simplifying 589 yields: % 145.27/94.41 | (590) all_0_67_67 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Combining equations (548,572) yields a new equation: % 145.27/94.41 | (591) all_0_55_55 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Simplifying 591 yields: % 145.27/94.41 | (592) all_0_55_55 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Combining equations (551,592) yields a new equation: % 145.27/94.41 | (593) all_0_63_63 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Simplifying 593 yields: % 145.27/94.41 | (594) all_0_63_63 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Combining equations (585,561) yields a new equation: % 145.27/94.41 | (595) all_0_61_61 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Simplifying 595 yields: % 145.27/94.41 | (596) all_0_61_61 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (583,586) yields a new equation: % 145.27/94.41 | (597) all_0_65_65 = all_0_69_69 % 145.27/94.41 | % 145.27/94.41 | Combining equations (596,586) yields a new equation: % 145.27/94.41 | (598) all_0_65_65 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (555,594) yields a new equation: % 145.27/94.41 | (599) all_0_69_69 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Simplifying 599 yields: % 145.27/94.41 | (600) all_0_69_69 = all_0_79_79 % 145.27/94.41 | % 145.27/94.41 | Combining equations (597,598) yields a new equation: % 145.27/94.41 | (601) all_0_69_69 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Simplifying 601 yields: % 145.27/94.41 | (602) all_0_69_69 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (556,590) yields a new equation: % 145.27/94.41 | (603) all_0_69_69 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Simplifying 603 yields: % 145.27/94.41 | (604) all_0_69_69 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Combining equations (560,600) yields a new equation: % 145.27/94.41 | (605) all_0_79_79 = all_0_83_83 % 145.27/94.41 | % 145.27/94.41 | Combining equations (602,600) yields a new equation: % 145.27/94.41 | (606) all_0_79_79 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (604,600) yields a new equation: % 145.27/94.41 | (607) all_0_79_79 = all_0_81_81 % 145.27/94.41 | % 145.27/94.41 | Combining equations (605,607) yields a new equation: % 145.27/94.41 | (608) all_0_81_81 = all_0_83_83 % 145.27/94.41 | % 145.27/94.41 | Combining equations (606,607) yields a new equation: % 145.27/94.41 | (609) all_0_81_81 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (608,609) yields a new equation: % 145.27/94.41 | (610) all_0_83_83 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Simplifying 610 yields: % 145.27/94.41 | (611) all_0_83_83 = all_0_86_86 % 145.27/94.41 | % 145.27/94.41 | Combining equations (559,611) yields a new equation: % 145.27/94.41 | (612) all_0_86_86 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (612,609) yields a new equation: % 145.27/94.41 | (613) all_0_81_81 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (613,607) yields a new equation: % 145.27/94.41 | (614) all_0_79_79 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (612,598) yields a new equation: % 145.27/94.41 | (615) all_0_65_65 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (615,586) yields a new equation: % 145.27/94.41 | (616) all_0_61_61 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (616,576) yields a new equation: % 145.27/94.41 | (617) all_0_39_39 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (582,574) yields a new equation: % 145.27/94.41 | (580) all_0_36_36 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (616,550) yields a new equation: % 145.27/94.41 | (619) all_0_20_20 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (582,567) yields a new equation: % 145.27/94.41 | (620) all_0_19_19 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | Combining equations (614,557) yields a new equation: % 145.27/94.41 | (621) all_0_9_9 = all_0_96_96 % 145.27/94.41 | % 145.27/94.41 | Combining equations (588,568) yields a new equation: % 145.27/94.41 | (622) all_0_8_8 = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | From (617) and (32) follows: % 145.27/94.41 | (623) power_power(int, s, all_0_96_96) = all_0_38_38 % 145.27/94.41 | % 145.27/94.41 | From (614) and (271) follows: % 145.27/94.41 | (624) power_power(int, s, all_0_96_96) = all_0_78_78 % 145.27/94.41 | % 145.27/94.41 | From (588)(588) and (529) follows: % 145.27/94.41 | (625) number_number_of(int, all_0_95_95) = all_0_95_95 % 145.27/94.41 | % 145.27/94.41 | From (622) and (538) follows: % 145.27/94.41 | (626) times_times(int, all_0_95_95, m) = all_0_6_6 % 145.27/94.41 | % 145.27/94.41 | From (620) and (539) follows: % 145.27/94.41 | (627) times_times(int, all_0_95_95, m) = all_0_17_17 % 145.27/94.41 | % 145.27/94.41 | From (562) and (540) follows: % 145.27/94.41 | (628) times_times(int, all_0_95_95, m) = all_0_24_24 % 145.27/94.41 | % 145.27/94.41 | From (578) and (541) follows: % 145.27/94.41 | (629) times_times(int, all_0_95_95, m) = all_0_29_29 % 145.27/94.41 | % 145.27/94.41 | From (580) and (542) follows: % 145.27/94.41 | (630) times_times(int, all_0_95_95, m) = all_0_34_34 % 145.27/94.41 | % 145.27/94.41 | From (582) and (543) follows: % 145.27/94.42 | (631) times_times(int, all_0_95_95, m) = all_0_43_43 % 145.27/94.42 | % 145.27/94.42 | From (588) and (544) follows: % 145.27/94.42 | (632) times_times(int, all_0_95_95, m) = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (247) with int, s, all_0_96_96, all_0_78_78, all_0_38_38 and discharging atoms power_power(int, s, all_0_96_96) = all_0_38_38, power_power(int, s, all_0_96_96) = all_0_78_78, yields: % 145.27/94.42 | (633) all_0_38_38 = all_0_78_78 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_17_17, all_0_6_6 and discharging atoms times_times(int, all_0_95_95, m) = all_0_6_6, times_times(int, all_0_95_95, m) = all_0_17_17, yields: % 145.27/94.42 | (634) all_0_6_6 = all_0_17_17 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_24_24, all_0_17_17 and discharging atoms times_times(int, all_0_95_95, m) = all_0_17_17, times_times(int, all_0_95_95, m) = all_0_24_24, yields: % 145.27/94.42 | (635) all_0_17_17 = all_0_24_24 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_29_29, all_0_24_24 and discharging atoms times_times(int, all_0_95_95, m) = all_0_24_24, times_times(int, all_0_95_95, m) = all_0_29_29, yields: % 145.27/94.42 | (636) all_0_24_24 = all_0_29_29 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_34_34, all_0_29_29 and discharging atoms times_times(int, all_0_95_95, m) = all_0_29_29, times_times(int, all_0_95_95, m) = all_0_34_34, yields: % 145.27/94.42 | (637) all_0_29_29 = all_0_34_34 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_43_43, all_0_93_93 and discharging atoms times_times(int, all_0_95_95, m) = all_0_43_43, times_times(int, all_0_95_95, m) = all_0_93_93, yields: % 145.27/94.42 | (638) all_0_43_43 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_43_43, all_0_34_34 and discharging atoms times_times(int, all_0_95_95, m) = all_0_34_34, times_times(int, all_0_95_95, m) = all_0_43_43, yields: % 145.27/94.42 | (639) all_0_34_34 = all_0_43_43 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (408) with int, all_0_95_95, m, all_0_74_74, all_0_6_6 and discharging atoms times_times(int, all_0_95_95, m) = all_0_6_6, times_times(int, all_0_95_95, m) = all_0_74_74, yields: % 145.27/94.42 | (640) all_0_6_6 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (634,640) yields a new equation: % 145.27/94.42 | (641) all_0_17_17 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Simplifying 641 yields: % 145.27/94.42 | (642) all_0_17_17 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (635,642) yields a new equation: % 145.27/94.42 | (643) all_0_24_24 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Simplifying 643 yields: % 145.27/94.42 | (644) all_0_24_24 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (636,644) yields a new equation: % 145.27/94.42 | (645) all_0_29_29 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Simplifying 645 yields: % 145.27/94.42 | (646) all_0_29_29 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (637,646) yields a new equation: % 145.27/94.42 | (647) all_0_34_34 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Simplifying 647 yields: % 145.27/94.42 | (648) all_0_34_34 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (639,648) yields a new equation: % 145.27/94.42 | (649) all_0_43_43 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Simplifying 649 yields: % 145.27/94.42 | (650) all_0_43_43 = all_0_74_74 % 145.27/94.42 | % 145.27/94.42 | Combining equations (638,650) yields a new equation: % 145.27/94.42 | (651) all_0_74_74 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,650) yields a new equation: % 145.27/94.42 | (638) all_0_43_43 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,648) yields a new equation: % 145.27/94.42 | (653) all_0_34_34 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,646) yields a new equation: % 145.27/94.42 | (654) all_0_29_29 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,644) yields a new equation: % 145.27/94.42 | (655) all_0_24_24 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,642) yields a new equation: % 145.27/94.42 | (656) all_0_17_17 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | Combining equations (651,640) yields a new equation: % 145.27/94.42 | (657) all_0_6_6 = all_0_93_93 % 145.27/94.42 | % 145.27/94.42 | From (657) and (309) follows: % 145.27/94.42 | (658) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_5_5 % 145.27/94.42 | % 145.27/94.42 | From (656) and (182) follows: % 145.27/94.42 | (659) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_16_16 % 145.27/94.42 | % 145.27/94.42 | From (655) and (145) follows: % 145.27/94.42 | (660) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_23_23 % 145.27/94.42 | % 145.27/94.42 | From (654) and (137) follows: % 145.27/94.42 | (661) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_28_28 % 145.27/94.42 | % 145.27/94.42 | From (653) and (255) follows: % 145.27/94.42 | (662) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_33_33 % 145.27/94.42 | % 145.27/94.42 | From (633) and (85) follows: % 145.27/94.42 | (663) plus_plus(int, all_0_78_78, all_0_92_92) = all_0_37_37 % 145.27/94.42 | % 145.27/94.42 | From (638) and (342) follows: % 145.27/94.42 | (664) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_42_42 % 145.27/94.42 | % 145.27/94.42 | From (651) and (307) follows: % 145.27/94.42 | (665) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_78_78, all_0_92_92, all_0_37_37, all_0_77_77 and discharging atoms plus_plus(int, all_0_78_78, all_0_92_92) = all_0_37_37, plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77, yields: % 145.27/94.42 | (666) all_0_37_37 = all_0_77_77 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_16_16, all_0_5_5 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_5_5, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_16_16, yields: % 145.27/94.42 | (667) all_0_5_5 = all_0_16_16 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_23_23, all_0_91_91 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_23_23, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_91_91, yields: % 145.27/94.42 | (668) all_0_23_23 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_28_28, all_0_16_16 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_16_16, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_28_28, yields: % 145.27/94.42 | (669) all_0_16_16 = all_0_28_28 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_33_33, all_0_23_23 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_23_23, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_33_33, yields: % 145.27/94.42 | (670) all_0_23_23 = all_0_33_33 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_33_33, all_0_28_28 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_28_28, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_33_33, yields: % 145.27/94.42 | (671) all_0_28_28 = all_0_33_33 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_42_42, all_0_23_23 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_23_23, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_42_42, yields: % 145.27/94.42 | (672) all_0_23_23 = all_0_42_42 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (19) with int, all_0_93_93, all_0_92_92, all_0_73_73, all_0_5_5 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_5_5, plus_plus(int, all_0_93_93, all_0_92_92) = all_0_73_73, yields: % 145.27/94.42 | (673) all_0_5_5 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Combining equations (667,673) yields a new equation: % 145.27/94.42 | (674) all_0_16_16 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Simplifying 674 yields: % 145.27/94.42 | (675) all_0_16_16 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Combining equations (669,675) yields a new equation: % 145.27/94.42 | (676) all_0_28_28 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Simplifying 676 yields: % 145.27/94.42 | (677) all_0_28_28 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Combining equations (670,672) yields a new equation: % 145.27/94.42 | (678) all_0_33_33 = all_0_42_42 % 145.27/94.42 | % 145.27/94.42 | Simplifying 678 yields: % 145.27/94.42 | (679) all_0_33_33 = all_0_42_42 % 145.27/94.42 | % 145.27/94.42 | Combining equations (668,672) yields a new equation: % 145.27/94.42 | (680) all_0_42_42 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Combining equations (671,677) yields a new equation: % 145.27/94.42 | (681) all_0_33_33 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Simplifying 681 yields: % 145.27/94.42 | (682) all_0_33_33 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Combining equations (679,682) yields a new equation: % 145.27/94.42 | (683) all_0_42_42 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Simplifying 683 yields: % 145.27/94.42 | (684) all_0_42_42 = all_0_73_73 % 145.27/94.42 | % 145.27/94.42 | Combining equations (680,684) yields a new equation: % 145.27/94.42 | (685) all_0_73_73 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Combining equations (685,684) yields a new equation: % 145.27/94.42 | (680) all_0_42_42 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Combining equations (680,672) yields a new equation: % 145.27/94.42 | (668) all_0_23_23 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Combining equations (685,675) yields a new equation: % 145.27/94.42 | (688) all_0_16_16 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Combining equations (685,673) yields a new equation: % 145.27/94.42 | (689) all_0_5_5 = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | From (668) and (88) follows: % 145.27/94.42 | (690) ord_less(int, t, all_0_91_91) = 0 % 145.27/94.42 | % 145.27/94.42 | From (666) and (663) follows: % 145.27/94.42 | (74) plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77 % 145.27/94.42 | % 145.27/94.42 | From (685) and (665) follows: % 145.27/94.42 | (374) plus_plus(int, all_0_93_93, all_0_92_92) = all_0_91_91 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (385) with all_31_0_191, int, all_31_1_192, all_31_2_193 and discharging atoms ord_less_eq(int, all_31_2_193, all_31_1_192) = all_31_0_191, yields: % 145.27/94.42 | (693) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (ord_less_eq(int, v2, all_31_1_192) = v3 & linorder(int) = v1 & number(int) = v0 & ti(int, all_31_2_193) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | v3 = 0)))) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (246) with all_31_0_191, int, all_31_1_192, all_31_2_193 and discharging atoms ord_less_eq(int, all_31_2_193, all_31_1_192) = all_31_0_191, yields: % 145.27/94.42 | (694) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (ord_less_eq(int, all_31_2_193, v2) = v3 & linorder(int) = v1 & number(int) = v0 & ti(int, all_31_1_192) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | v3 = 0)))) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (385) with all_31_3_194, int, all_31_4_195, all_31_5_196 and discharging atoms ord_less_eq(int, all_31_5_196, all_31_4_195) = all_31_3_194, yields: % 145.27/94.42 | (695) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (ord_less_eq(int, v2, all_31_4_195) = v3 & linorder(int) = v1 & number(int) = v0 & ti(int, all_31_5_196) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | v3 = 0)))) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (246) with all_31_3_194, int, all_31_4_195, all_31_5_196 and discharging atoms ord_less_eq(int, all_31_5_196, all_31_4_195) = all_31_3_194, yields: % 145.27/94.42 | (696) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (ord_less_eq(int, all_31_5_196, v2) = v3 & linorder(int) = v1 & number(int) = v0 & ti(int, all_31_4_195) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | v3 = 0)))) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (224) with t, all_0_92_92, int and discharging atoms linordered_idom(int) = 0, ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (697) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ord_less_eq(int, v0, v1) = 0 & number_number_of(int, all_0_92_92) = v0 & number_number_of(int, t) = v1) | ( ~ (v0 = 0) & number_ring(int) = v0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (316) with t, all_0_92_92, int and discharging atoms number_ring(int) = 0, ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (698) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ord_less_eq(int, v0, v1) = 0 & number_number_of(int, all_0_92_92) = v0 & number_number_of(int, t) = v1) | ( ~ (v0 = 0) & linordered_idom(int) = v0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (55) with all_0_92_92, t and discharging atoms ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (699) all_0_92_92 = t | ? [v0] : ( ~ (v0 = 0) & ord_less_eq(int, t, all_0_92_92) = v0) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (16) with t, all_0_92_92 and discharging atoms ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (700) all_0_92_92 = t | ord_less(int, all_0_92_92, t) = 0 % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (54) with t, all_0_92_92 and discharging atoms ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (701) ? [v0] : ? [v1] : (ord_less_eq(int, v0, v1) = 0 & number_number_of(int, all_0_92_92) = v0 & number_number_of(int, t) = v1) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (385) with 0, int, t, all_0_92_92 and discharging atoms ord_less_eq(int, all_0_92_92, t) = 0, yields: % 145.27/94.42 | (702) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (ord_less_eq(int, v2, t) = v3 & linorder(int) = v1 & number(int) = v0 & ti(int, all_0_92_92) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (36) with all_0_22_22, t, all_0_92_92 and discharging atoms ord_less(int, all_0_92_92, t) = all_0_22_22, yields: % 145.27/94.42 | (703) all_0_22_22 = 0 | all_0_92_92 = t | ? [v0] : ( ~ (v0 = 0) & ord_less_eq(int, all_0_92_92, t) = v0) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (347) with all_0_22_22, int, t, all_0_92_92 and discharging atoms ord_less(int, all_0_92_92, t) = all_0_22_22, yields: % 145.27/94.42 | (704) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (linorder(int) = v1 & ord_less(int, v2, t) = v3 & number(int) = v0 & ti(int, all_0_92_92) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (( ~ (v3 = 0) | all_0_22_22 = 0) & ( ~ (all_0_22_22 = 0) | v3 = 0)))) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (141) with all_0_91_91, t, int and discharging atoms linordered_idom(int) = 0, ord_less(int, t, all_0_91_91) = 0, yields: % 145.27/94.42 | (705) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ord_less(int, v0, v1) = 0 & number_number_of(int, all_0_91_91) = v1 & number_number_of(int, t) = v0) | ( ~ (v0 = 0) & number_ring(int) = v0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (117) with all_0_91_91, t, int and discharging atoms number_ring(int) = 0, ord_less(int, t, all_0_91_91) = 0, yields: % 145.27/94.42 | (706) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ord_less(int, v0, v1) = 0 & number_number_of(int, all_0_91_91) = v1 & number_number_of(int, t) = v0) | ( ~ (v0 = 0) & linordered_idom(int) = v0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (401) with all_0_91_91, t and discharging atoms ord_less(int, t, all_0_91_91) = 0, yields: % 145.27/94.42 | (707) ? [v0] : ? [v1] : (ord_less(int, v0, v1) = 0 & number_number_of(int, all_0_91_91) = v1 & number_number_of(int, t) = v0) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (44) with 0, int, all_0_91_91, t and discharging atoms ord_less(int, t, all_0_91_91) = 0, yields: % 145.27/94.42 | (708) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (linorder(int) = v1 & ord_less(int, t, v2) = v3 & number(int) = v0 & ti(int, all_0_91_91) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (57) with all_0_60_60, int, all_0_60_60 and discharging atoms number_number_of(int, all_0_60_60) = all_0_60_60, yields: % 145.27/94.42 | (709) ? [v0] : ? [v1] : ? [v2] : (number(int) = v0 & number_number_of(int, v1) = v2 & ti(int, all_0_60_60) = v1 & ( ~ (v0 = 0) | v2 = all_0_60_60)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (404) with all_0_60_60, int, all_0_60_60 and discharging atoms number_number_of(int, all_0_60_60) = all_0_60_60, yields: % 145.27/94.42 | (710) ? [v0] : ? [v1] : (number(int) = v0 & ti(int, all_0_60_60) = v1 & ( ~ (v0 = 0) | v1 = all_0_60_60)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (57) with all_0_95_95, int, all_0_95_95 and discharging atoms number_number_of(int, all_0_95_95) = all_0_95_95, yields: % 145.27/94.42 | (711) ? [v0] : ? [v1] : ? [v2] : (number(int) = v0 & number_number_of(int, v1) = v2 & ti(int, all_0_95_95) = v1 & ( ~ (v0 = 0) | v2 = all_0_95_95)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (404) with all_0_95_95, int, all_0_95_95 and discharging atoms number_number_of(int, all_0_95_95) = all_0_95_95, yields: % 145.27/94.42 | (712) ? [v0] : ? [v1] : (number(int) = v0 & ti(int, all_0_95_95) = v1 & ( ~ (v0 = 0) | v1 = all_0_95_95)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (387) with all_0_97_97, int yields: % 145.27/94.42 | (713) ~ (number_number_of(int, all_0_71_71) = all_0_97_97) | ? [v0] : ? [v1] : ? [v2] : (number_ring(int) = v0 & plus_plus(int, v1, v1) = v2 & one_one(int) = v1 & ( ~ (v0 = 0) | v2 = all_0_97_97)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (57) with all_0_97_97, int, all_0_97_97 and discharging atoms number_number_of(int, all_0_97_97) = all_0_97_97, yields: % 145.27/94.42 | (714) ? [v0] : ? [v1] : ? [v2] : (number(int) = v0 & number_number_of(int, v1) = v2 & ti(int, all_0_97_97) = v1 & ( ~ (v0 = 0) | v2 = all_0_97_97)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (404) with all_0_97_97, int, all_0_97_97 and discharging atoms number_number_of(int, all_0_97_97) = all_0_97_97, yields: % 145.27/94.42 | (715) ? [v0] : ? [v1] : (number(int) = v0 & ti(int, all_0_97_97) = v1 & ( ~ (v0 = 0) | v1 = all_0_97_97)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (126) with all_0_77_77, all_0_92_92, all_0_78_78, all_0_97_97, int and discharging atoms plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77, yields: % 145.27/94.42 | (716) ~ (number_number_of(int, all_0_56_56) = all_0_97_97) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v0 & power_power(int, all_0_77_77, all_0_55_55) = v0 & power_power(int, all_0_78_78, all_0_55_55) = v1 & power_power(int, all_0_92_92, all_0_55_55) = v2 & times_times(int, v4, all_0_92_92) = v5 & times_times(int, all_0_97_97, all_0_78_78) = v4 & plus_plus(int, v3, v5) = v0 & plus_plus(int, v1, v2) = v3) | ( ~ (v0 = 0) & number_semiring(int) = v0)) % 145.27/94.42 | % 145.27/94.42 | Instantiating formula (288) with all_0_77_77, int, all_0_92_92, all_0_78_78 and discharging atoms plus_plus(int, all_0_78_78, all_0_92_92) = all_0_77_77, yields: % 145.27/94.42 | (717) ? [v0] : ? [v1] : ? [v2] : (comm_semiring_1(int) = v0 & plus_plus(int, all_0_78_78, v1) = v2 & ti(int, all_0_92_92) = v1 & ( ~ (v0 = 0) | v2 = all_0_77_77)) % 145.27/94.43 | % 145.27/94.43 | Instantiating formula (288) with all_0_91_91, int, all_0_92_92, all_0_93_93 and discharging atoms plus_plus(int, all_0_93_93, all_0_92_92) = all_0_91_91, yields: % 145.27/94.43 | (718) ? [v0] : ? [v1] : ? [v2] : (comm_semiring_1(int) = v0 & plus_plus(int, all_0_93_93, v1) = v2 & ti(int, all_0_92_92) = v1 & ( ~ (v0 = 0) | v2 = all_0_91_91)) % 145.27/94.43 | % 145.27/94.43 | Instantiating formula (75) with all_0_92_92, int and discharging atoms one_one(int) = all_0_92_92, yields: % 145.27/94.43 | (719) ? [v0] : ? [v1] : ? [v2] : (number_ring(int) = v0 & number_number_of(int, all_0_71_71) = v2 & plus_plus(int, all_0_92_92, all_0_92_92) = v1 & ( ~ (v0 = 0) | v2 = v1)) % 145.27/94.43 | % 145.27/94.43 | Instantiating formula (412) with all_0_92_92, int and discharging atoms one_one(int) = all_0_92_92, yields: % 145.27/94.43 | (720) ? [v0] : ? [v1] : (semiring_1(int) = v0 & ti(int, all_0_92_92) = v1 & ( ~ (v0 = 0) | v1 = all_0_92_92)) % 145.27/94.43 | % 145.27/94.43 | Instantiating (719) with all_75_0_221, all_75_1_222, all_75_2_223 yields: % 145.27/94.43 | (721) number_ring(int) = all_75_2_223 & number_number_of(int, all_0_71_71) = all_75_0_221 & plus_plus(int, all_0_92_92, all_0_92_92) = all_75_1_222 & ( ~ (all_75_2_223 = 0) | all_75_0_221 = all_75_1_222) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (721) yields: % 145.27/94.43 | (722) number_ring(int) = all_75_2_223 % 145.27/94.43 | (723) number_number_of(int, all_0_71_71) = all_75_0_221 % 145.27/94.43 | (724) plus_plus(int, all_0_92_92, all_0_92_92) = all_75_1_222 % 145.27/94.43 | (725) ~ (all_75_2_223 = 0) | all_75_0_221 = all_75_1_222 % 145.27/94.43 | % 145.27/94.43 | Instantiating (720) with all_120_0_275, all_120_1_276 yields: % 145.27/94.43 | (726) semiring_1(int) = all_120_1_276 & ti(int, all_0_92_92) = all_120_0_275 & ( ~ (all_120_1_276 = 0) | all_120_0_275 = all_0_92_92) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (726) yields: % 145.27/94.43 | (727) semiring_1(int) = all_120_1_276 % 145.27/94.43 | (728) ti(int, all_0_92_92) = all_120_0_275 % 145.27/94.43 | (729) ~ (all_120_1_276 = 0) | all_120_0_275 = all_0_92_92 % 145.27/94.43 | % 145.27/94.43 | Instantiating (708) with all_166_0_337, all_166_1_338, all_166_2_339, all_166_3_340 yields: % 145.27/94.43 | (730) linorder(int) = all_166_2_339 & ord_less(int, t, all_166_1_338) = all_166_0_337 & number(int) = all_166_3_340 & ti(int, all_0_91_91) = all_166_1_338 & ( ~ (all_166_2_339 = 0) | ~ (all_166_3_340 = 0) | all_166_0_337 = 0) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (730) yields: % 145.27/94.43 | (731) ~ (all_166_2_339 = 0) | ~ (all_166_3_340 = 0) | all_166_0_337 = 0 % 145.27/94.43 | (732) ord_less(int, t, all_166_1_338) = all_166_0_337 % 145.27/94.43 | (733) ti(int, all_0_91_91) = all_166_1_338 % 145.27/94.43 | (734) linorder(int) = all_166_2_339 % 145.27/94.43 | (735) number(int) = all_166_3_340 % 145.27/94.43 | % 145.27/94.43 | Instantiating (698) with all_174_0_346, all_174_1_347, all_174_2_348 yields: % 145.27/94.43 | (736) (all_174_0_346 = 0 & ord_less_eq(int, all_174_2_348, all_174_1_347) = 0 & number_number_of(int, all_0_92_92) = all_174_2_348 & number_number_of(int, t) = all_174_1_347) | ( ~ (all_174_2_348 = 0) & linordered_idom(int) = all_174_2_348) % 145.27/94.43 | % 145.27/94.43 | Instantiating (697) with all_175_0_349, all_175_1_350, all_175_2_351 yields: % 145.27/94.43 | (737) (all_175_0_349 = 0 & ord_less_eq(int, all_175_2_351, all_175_1_350) = 0 & number_number_of(int, all_0_92_92) = all_175_2_351 & number_number_of(int, t) = all_175_1_350) | ( ~ (all_175_2_351 = 0) & number_ring(int) = all_175_2_351) % 145.27/94.43 | % 145.27/94.43 | Instantiating (696) with all_190_0_364, all_190_1_365, all_190_2_366, all_190_3_367 yields: % 145.27/94.43 | (738) ord_less_eq(int, all_31_5_196, all_190_1_365) = all_190_0_364 & linorder(int) = all_190_2_366 & number(int) = all_190_3_367 & ti(int, all_31_4_195) = all_190_1_365 & ( ~ (all_190_2_366 = 0) | ~ (all_190_3_367 = 0) | (( ~ (all_190_0_364 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | all_190_0_364 = 0))) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (738) yields: % 145.27/94.43 | (739) ord_less_eq(int, all_31_5_196, all_190_1_365) = all_190_0_364 % 145.27/94.43 | (740) ti(int, all_31_4_195) = all_190_1_365 % 145.27/94.43 | (741) number(int) = all_190_3_367 % 145.27/94.43 | (742) linorder(int) = all_190_2_366 % 145.27/94.43 | (743) ~ (all_190_2_366 = 0) | ~ (all_190_3_367 = 0) | (( ~ (all_190_0_364 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | all_190_0_364 = 0)) % 145.27/94.43 | % 145.27/94.43 | Instantiating (694) with all_192_0_368, all_192_1_369, all_192_2_370, all_192_3_371 yields: % 145.27/94.43 | (744) ord_less_eq(int, all_31_2_193, all_192_1_369) = all_192_0_368 & linorder(int) = all_192_2_370 & number(int) = all_192_3_371 & ti(int, all_31_1_192) = all_192_1_369 & ( ~ (all_192_2_370 = 0) | ~ (all_192_3_371 = 0) | (( ~ (all_192_0_368 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | all_192_0_368 = 0))) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (744) yields: % 145.27/94.43 | (745) ti(int, all_31_1_192) = all_192_1_369 % 145.27/94.43 | (746) ord_less_eq(int, all_31_2_193, all_192_1_369) = all_192_0_368 % 145.27/94.43 | (747) ~ (all_192_2_370 = 0) | ~ (all_192_3_371 = 0) | (( ~ (all_192_0_368 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | all_192_0_368 = 0)) % 145.27/94.43 | (748) linorder(int) = all_192_2_370 % 145.27/94.43 | (749) number(int) = all_192_3_371 % 145.27/94.43 | % 145.27/94.43 | Instantiating (693) with all_194_0_372, all_194_1_373, all_194_2_374, all_194_3_375 yields: % 145.27/94.43 | (750) ord_less_eq(int, all_194_1_373, all_31_1_192) = all_194_0_372 & linorder(int) = all_194_2_374 & number(int) = all_194_3_375 & ti(int, all_31_2_193) = all_194_1_373 & ( ~ (all_194_2_374 = 0) | ~ (all_194_3_375 = 0) | (( ~ (all_194_0_372 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | all_194_0_372 = 0))) % 145.27/94.43 | % 145.27/94.43 | Applying alpha-rule on (750) yields: % 145.27/94.43 | (751) ti(int, all_31_2_193) = all_194_1_373 % 145.27/94.43 | (752) number(int) = all_194_3_375 % 145.27/94.43 | (753) ~ (all_194_2_374 = 0) | ~ (all_194_3_375 = 0) | (( ~ (all_194_0_372 = 0) | all_31_0_191 = 0) & ( ~ (all_31_0_191 = 0) | all_194_0_372 = 0)) % 145.27/94.43 | (754) linorder(int) = all_194_2_374 % 145.69/94.43 | (755) ord_less_eq(int, all_194_1_373, all_31_1_192) = all_194_0_372 % 145.69/94.43 | % 145.69/94.43 | Instantiating (701) with all_196_0_376, all_196_1_377 yields: % 145.69/94.43 | (756) ord_less_eq(int, all_196_1_377, all_196_0_376) = 0 & number_number_of(int, all_0_92_92) = all_196_1_377 & number_number_of(int, t) = all_196_0_376 % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (756) yields: % 145.69/94.43 | (757) ord_less_eq(int, all_196_1_377, all_196_0_376) = 0 % 145.69/94.43 | (758) number_number_of(int, all_0_92_92) = all_196_1_377 % 145.69/94.43 | (759) number_number_of(int, t) = all_196_0_376 % 145.69/94.43 | % 145.69/94.43 | Instantiating (695) with all_198_0_378, all_198_1_379, all_198_2_380, all_198_3_381 yields: % 145.69/94.43 | (760) ord_less_eq(int, all_198_1_379, all_31_4_195) = all_198_0_378 & linorder(int) = all_198_2_380 & number(int) = all_198_3_381 & ti(int, all_31_5_196) = all_198_1_379 & ( ~ (all_198_2_380 = 0) | ~ (all_198_3_381 = 0) | (( ~ (all_198_0_378 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | all_198_0_378 = 0))) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (760) yields: % 145.69/94.43 | (761) ti(int, all_31_5_196) = all_198_1_379 % 145.69/94.43 | (762) number(int) = all_198_3_381 % 145.69/94.43 | (763) ~ (all_198_2_380 = 0) | ~ (all_198_3_381 = 0) | (( ~ (all_198_0_378 = 0) | all_31_3_194 = 0) & ( ~ (all_31_3_194 = 0) | all_198_0_378 = 0)) % 145.69/94.43 | (764) linorder(int) = all_198_2_380 % 145.69/94.43 | (765) ord_less_eq(int, all_198_1_379, all_31_4_195) = all_198_0_378 % 145.69/94.43 | % 145.69/94.43 | Instantiating (707) with all_214_0_397, all_214_1_398 yields: % 145.69/94.43 | (766) ord_less(int, all_214_1_398, all_214_0_397) = 0 & number_number_of(int, all_0_91_91) = all_214_0_397 & number_number_of(int, t) = all_214_1_398 % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (766) yields: % 145.69/94.43 | (767) ord_less(int, all_214_1_398, all_214_0_397) = 0 % 145.69/94.43 | (768) number_number_of(int, all_0_91_91) = all_214_0_397 % 145.69/94.43 | (769) number_number_of(int, t) = all_214_1_398 % 145.69/94.43 | % 145.69/94.43 | Instantiating (706) with all_248_0_439, all_248_1_440, all_248_2_441 yields: % 145.69/94.43 | (770) (all_248_0_439 = 0 & ord_less(int, all_248_2_441, all_248_1_440) = 0 & number_number_of(int, all_0_91_91) = all_248_1_440 & number_number_of(int, t) = all_248_2_441) | ( ~ (all_248_2_441 = 0) & linordered_idom(int) = all_248_2_441) % 145.69/94.43 | % 145.69/94.43 | Instantiating (705) with all_249_0_442, all_249_1_443, all_249_2_444 yields: % 145.69/94.43 | (771) (all_249_0_442 = 0 & ord_less(int, all_249_2_444, all_249_1_443) = 0 & number_number_of(int, all_0_91_91) = all_249_1_443 & number_number_of(int, t) = all_249_2_444) | ( ~ (all_249_2_444 = 0) & number_ring(int) = all_249_2_444) % 145.69/94.43 | % 145.69/94.43 | Instantiating (702) with all_256_0_453, all_256_1_454, all_256_2_455, all_256_3_456 yields: % 145.69/94.43 | (772) ord_less_eq(int, all_256_1_454, t) = all_256_0_453 & linorder(int) = all_256_2_455 & number(int) = all_256_3_456 & ti(int, all_0_92_92) = all_256_1_454 & ( ~ (all_256_2_455 = 0) | ~ (all_256_3_456 = 0) | all_256_0_453 = 0) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (772) yields: % 145.69/94.43 | (773) linorder(int) = all_256_2_455 % 145.69/94.43 | (774) ti(int, all_0_92_92) = all_256_1_454 % 145.69/94.43 | (775) ~ (all_256_2_455 = 0) | ~ (all_256_3_456 = 0) | all_256_0_453 = 0 % 145.69/94.43 | (776) number(int) = all_256_3_456 % 145.69/94.43 | (777) ord_less_eq(int, all_256_1_454, t) = all_256_0_453 % 145.69/94.43 | % 145.69/94.43 | Instantiating (704) with all_264_0_462, all_264_1_463, all_264_2_464, all_264_3_465 yields: % 145.69/94.43 | (778) linorder(int) = all_264_2_464 & ord_less(int, all_264_1_463, t) = all_264_0_462 & number(int) = all_264_3_465 & ti(int, all_0_92_92) = all_264_1_463 & ( ~ (all_264_2_464 = 0) | ~ (all_264_3_465 = 0) | (( ~ (all_264_0_462 = 0) | all_0_22_22 = 0) & ( ~ (all_0_22_22 = 0) | all_264_0_462 = 0))) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (778) yields: % 145.69/94.43 | (779) ord_less(int, all_264_1_463, t) = all_264_0_462 % 145.69/94.43 | (780) ti(int, all_0_92_92) = all_264_1_463 % 145.69/94.43 | (781) ~ (all_264_2_464 = 0) | ~ (all_264_3_465 = 0) | (( ~ (all_264_0_462 = 0) | all_0_22_22 = 0) & ( ~ (all_0_22_22 = 0) | all_264_0_462 = 0)) % 145.69/94.43 | (782) linorder(int) = all_264_2_464 % 145.69/94.43 | (783) number(int) = all_264_3_465 % 145.69/94.43 | % 145.69/94.43 | Instantiating (718) with all_332_0_536, all_332_1_537, all_332_2_538 yields: % 145.69/94.43 | (784) comm_semiring_1(int) = all_332_2_538 & plus_plus(int, all_0_93_93, all_332_1_537) = all_332_0_536 & ti(int, all_0_92_92) = all_332_1_537 & ( ~ (all_332_2_538 = 0) | all_332_0_536 = all_0_91_91) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (784) yields: % 145.69/94.43 | (785) comm_semiring_1(int) = all_332_2_538 % 145.69/94.43 | (786) plus_plus(int, all_0_93_93, all_332_1_537) = all_332_0_536 % 145.69/94.43 | (787) ti(int, all_0_92_92) = all_332_1_537 % 145.69/94.43 | (788) ~ (all_332_2_538 = 0) | all_332_0_536 = all_0_91_91 % 145.69/94.43 | % 145.69/94.43 | Instantiating (717) with all_338_0_544, all_338_1_545, all_338_2_546 yields: % 145.69/94.43 | (789) comm_semiring_1(int) = all_338_2_546 & plus_plus(int, all_0_78_78, all_338_1_545) = all_338_0_544 & ti(int, all_0_92_92) = all_338_1_545 & ( ~ (all_338_2_546 = 0) | all_338_0_544 = all_0_77_77) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (789) yields: % 145.69/94.43 | (790) comm_semiring_1(int) = all_338_2_546 % 145.69/94.43 | (791) plus_plus(int, all_0_78_78, all_338_1_545) = all_338_0_544 % 145.69/94.43 | (792) ti(int, all_0_92_92) = all_338_1_545 % 145.69/94.43 | (793) ~ (all_338_2_546 = 0) | all_338_0_544 = all_0_77_77 % 145.69/94.43 | % 145.69/94.43 | Instantiating (715) with all_348_0_573, all_348_1_574 yields: % 145.69/94.43 | (794) number(int) = all_348_1_574 & ti(int, all_0_97_97) = all_348_0_573 & ( ~ (all_348_1_574 = 0) | all_348_0_573 = all_0_97_97) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (794) yields: % 145.69/94.43 | (795) number(int) = all_348_1_574 % 145.69/94.43 | (796) ti(int, all_0_97_97) = all_348_0_573 % 145.69/94.43 | (797) ~ (all_348_1_574 = 0) | all_348_0_573 = all_0_97_97 % 145.69/94.43 | % 145.69/94.43 | Instantiating (714) with all_350_0_575, all_350_1_576, all_350_2_577 yields: % 145.69/94.43 | (798) number(int) = all_350_2_577 & number_number_of(int, all_350_1_576) = all_350_0_575 & ti(int, all_0_97_97) = all_350_1_576 & ( ~ (all_350_2_577 = 0) | all_350_0_575 = all_0_97_97) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (798) yields: % 145.69/94.43 | (799) number(int) = all_350_2_577 % 145.69/94.43 | (800) number_number_of(int, all_350_1_576) = all_350_0_575 % 145.69/94.43 | (801) ti(int, all_0_97_97) = all_350_1_576 % 145.69/94.43 | (802) ~ (all_350_2_577 = 0) | all_350_0_575 = all_0_97_97 % 145.69/94.43 | % 145.69/94.43 | Instantiating (712) with all_409_0_651, all_409_1_652 yields: % 145.69/94.43 | (803) number(int) = all_409_1_652 & ti(int, all_0_95_95) = all_409_0_651 & ( ~ (all_409_1_652 = 0) | all_409_0_651 = all_0_95_95) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (803) yields: % 145.69/94.43 | (804) number(int) = all_409_1_652 % 145.69/94.43 | (805) ti(int, all_0_95_95) = all_409_0_651 % 145.69/94.43 | (806) ~ (all_409_1_652 = 0) | all_409_0_651 = all_0_95_95 % 145.69/94.43 | % 145.69/94.43 | Instantiating (710) with all_412_0_655, all_412_1_656 yields: % 145.69/94.43 | (807) number(int) = all_412_1_656 & ti(int, all_0_60_60) = all_412_0_655 & ( ~ (all_412_1_656 = 0) | all_412_0_655 = all_0_60_60) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (807) yields: % 145.69/94.43 | (808) number(int) = all_412_1_656 % 145.69/94.43 | (809) ti(int, all_0_60_60) = all_412_0_655 % 145.69/94.43 | (810) ~ (all_412_1_656 = 0) | all_412_0_655 = all_0_60_60 % 145.69/94.43 | % 145.69/94.43 | Instantiating (711) with all_414_0_657, all_414_1_658, all_414_2_659 yields: % 145.69/94.43 | (811) number(int) = all_414_2_659 & number_number_of(int, all_414_1_658) = all_414_0_657 & ti(int, all_0_95_95) = all_414_1_658 & ( ~ (all_414_2_659 = 0) | all_414_0_657 = all_0_95_95) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (811) yields: % 145.69/94.43 | (812) number(int) = all_414_2_659 % 145.69/94.43 | (813) number_number_of(int, all_414_1_658) = all_414_0_657 % 145.69/94.43 | (814) ti(int, all_0_95_95) = all_414_1_658 % 145.69/94.43 | (815) ~ (all_414_2_659 = 0) | all_414_0_657 = all_0_95_95 % 145.69/94.43 | % 145.69/94.43 | Instantiating (709) with all_416_0_660, all_416_1_661, all_416_2_662 yields: % 145.69/94.43 | (816) number(int) = all_416_2_662 & number_number_of(int, all_416_1_661) = all_416_0_660 & ti(int, all_0_60_60) = all_416_1_661 & ( ~ (all_416_2_662 = 0) | all_416_0_660 = all_0_60_60) % 145.69/94.43 | % 145.69/94.43 | Applying alpha-rule on (816) yields: % 145.69/94.43 | (817) number(int) = all_416_2_662 % 145.69/94.43 | (818) number_number_of(int, all_416_1_661) = all_416_0_660 % 145.69/94.43 | (819) ti(int, all_0_60_60) = all_416_1_661 % 145.69/94.43 | (820) ~ (all_416_2_662 = 0) | all_416_0_660 = all_0_60_60 % 145.69/94.43 | % 145.69/94.43 +-Applying beta-rule and splitting (716), into two cases. % 145.69/94.43 |-Branch one: % 145.69/94.43 | (821) ~ (number_number_of(int, all_0_56_56) = all_0_97_97) % 145.69/94.43 | % 145.69/94.43 | From (505) and (821) follows: % 145.69/94.43 | (822) ~ (number_number_of(int, all_0_97_97) = all_0_97_97) % 145.69/94.43 | % 145.69/94.43 | Using (530) and (822) yields: % 145.69/94.43 | (823) $false % 145.69/94.43 | % 145.69/94.44 |-The branch is then unsatisfiable % 145.69/94.44 |-Branch two: % 145.69/94.44 | (824) number_number_of(int, all_0_56_56) = all_0_97_97 % 145.69/94.44 | (825) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v0 & power_power(int, all_0_77_77, all_0_55_55) = v0 & power_power(int, all_0_78_78, all_0_55_55) = v1 & power_power(int, all_0_92_92, all_0_55_55) = v2 & times_times(int, v4, all_0_92_92) = v5 & times_times(int, all_0_97_97, all_0_78_78) = v4 & plus_plus(int, v3, v5) = v0 & plus_plus(int, v1, v2) = v3) | ( ~ (v0 = 0) & number_semiring(int) = v0)) % 145.69/94.44 | % 145.69/94.44 | From (505) and (824) follows: % 145.69/94.44 | (530) number_number_of(int, all_0_97_97) = all_0_97_97 % 145.69/94.44 | % 145.69/94.44 +-Applying beta-rule and splitting (736), into two cases. % 145.69/94.44 |-Branch one: % 145.69/94.44 | (827) all_174_0_346 = 0 & ord_less_eq(int, all_174_2_348, all_174_1_347) = 0 & number_number_of(int, all_0_92_92) = all_174_2_348 & number_number_of(int, t) = all_174_1_347 % 145.69/94.44 | % 145.69/94.44 | Applying alpha-rule on (827) yields: % 145.69/94.44 | (828) all_174_0_346 = 0 % 145.69/94.44 | (829) ord_less_eq(int, all_174_2_348, all_174_1_347) = 0 % 145.69/94.44 | (830) number_number_of(int, all_0_92_92) = all_174_2_348 % 145.69/94.44 | (831) number_number_of(int, t) = all_174_1_347 % 145.69/94.44 | % 145.69/94.44 +-Applying beta-rule and splitting (770), into two cases. % 145.69/94.44 |-Branch one: % 145.69/94.44 | (832) all_248_0_439 = 0 & ord_less(int, all_248_2_441, all_248_1_440) = 0 & number_number_of(int, all_0_91_91) = all_248_1_440 & number_number_of(int, t) = all_248_2_441 % 145.69/94.44 | % 145.69/94.44 | Applying alpha-rule on (832) yields: % 145.69/94.44 | (833) all_248_0_439 = 0 % 145.69/94.44 | (834) ord_less(int, all_248_2_441, all_248_1_440) = 0 % 145.69/94.44 | (835) number_number_of(int, all_0_91_91) = all_248_1_440 % 145.69/94.44 | (836) number_number_of(int, t) = all_248_2_441 % 145.69/94.44 | % 145.69/94.44 +-Applying beta-rule and splitting (713), into two cases. % 145.69/94.44 |-Branch one: % 145.69/94.44 | (837) ~ (number_number_of(int, all_0_71_71) = all_0_97_97) % 145.69/94.44 | % 145.69/94.44 | From (498) and (837) follows: % 145.69/94.44 | (822) ~ (number_number_of(int, all_0_97_97) = all_0_97_97) % 145.69/94.44 | % 145.69/94.44 | Using (530) and (822) yields: % 145.69/94.44 | (823) $false % 145.69/94.44 | % 145.69/94.44 |-The branch is then unsatisfiable % 145.69/94.44 |-Branch two: % 145.69/94.44 | (840) number_number_of(int, all_0_71_71) = all_0_97_97 % 145.69/94.44 | (841) ? [v0] : ? [v1] : ? [v2] : (number_ring(int) = v0 & plus_plus(int, v1, v1) = v2 & one_one(int) = v1 & ( ~ (v0 = 0) | v2 = all_0_97_97)) % 145.69/94.44 | % 145.69/94.44 | Instantiating (841) with all_591_0_812, all_591_1_813, all_591_2_814 yields: % 145.69/94.44 | (842) number_ring(int) = all_591_2_814 & plus_plus(int, all_591_1_813, all_591_1_813) = all_591_0_812 & one_one(int) = all_591_1_813 & ( ~ (all_591_2_814 = 0) | all_591_0_812 = all_0_97_97) % 145.69/94.44 | % 145.69/94.44 | Applying alpha-rule on (842) yields: % 145.69/94.44 | (843) number_ring(int) = all_591_2_814 % 145.69/94.44 | (844) plus_plus(int, all_591_1_813, all_591_1_813) = all_591_0_812 % 145.69/94.44 | (845) one_one(int) = all_591_1_813 % 145.69/94.44 | (846) ~ (all_591_2_814 = 0) | all_591_0_812 = all_0_97_97 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (23) with int, all_591_2_814, 0 and discharging atoms number_ring(int) = all_591_2_814, number_ring(int) = 0, yields: % 145.69/94.44 | (847) all_591_2_814 = 0 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (23) with int, all_75_2_223, all_591_2_814 and discharging atoms number_ring(int) = all_591_2_814, number_ring(int) = all_75_2_223, yields: % 145.69/94.44 | (848) all_591_2_814 = all_75_2_223 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_412_1_656, all_416_2_662 and discharging atoms number(int) = all_416_2_662, number(int) = all_412_1_656, yields: % 145.69/94.44 | (849) all_416_2_662 = all_412_1_656 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_412_1_656, all_414_2_659 and discharging atoms number(int) = all_414_2_659, number(int) = all_412_1_656, yields: % 145.69/94.44 | (850) all_414_2_659 = all_412_1_656 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_409_1_652, all_416_2_662 and discharging atoms number(int) = all_416_2_662, number(int) = all_409_1_652, yields: % 145.69/94.44 | (851) all_416_2_662 = all_409_1_652 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_348_1_574, all_414_2_659 and discharging atoms number(int) = all_414_2_659, number(int) = all_348_1_574, yields: % 145.69/94.44 | (852) all_414_2_659 = all_348_1_574 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_264_3_465, all_416_2_662 and discharging atoms number(int) = all_416_2_662, number(int) = all_264_3_465, yields: % 145.69/94.44 | (853) all_416_2_662 = all_264_3_465 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_256_3_456, 0 and discharging atoms number(int) = all_256_3_456, number(int) = 0, yields: % 145.69/94.44 | (854) all_256_3_456 = 0 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_198_3_381, all_350_2_577 and discharging atoms number(int) = all_350_2_577, number(int) = all_198_3_381, yields: % 145.69/94.44 | (855) all_350_2_577 = all_198_3_381 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_194_3_375, all_350_2_577 and discharging atoms number(int) = all_350_2_577, number(int) = all_194_3_375, yields: % 145.69/94.44 | (856) all_350_2_577 = all_194_3_375 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_194_3_375, all_264_3_465 and discharging atoms number(int) = all_264_3_465, number(int) = all_194_3_375, yields: % 145.69/94.44 | (857) all_264_3_465 = all_194_3_375 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_192_3_371, all_350_2_577 and discharging atoms number(int) = all_350_2_577, number(int) = all_192_3_371, yields: % 145.69/94.44 | (858) all_350_2_577 = all_192_3_371 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_190_3_367, all_350_2_577 and discharging atoms number(int) = all_350_2_577, number(int) = all_190_3_367, yields: % 145.69/94.44 | (859) all_350_2_577 = all_190_3_367 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_190_3_367, all_256_3_456 and discharging atoms number(int) = all_256_3_456, number(int) = all_190_3_367, yields: % 145.69/94.44 | (860) all_256_3_456 = all_190_3_367 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (37) with int, all_166_3_340, all_416_2_662 and discharging atoms number(int) = all_416_2_662, number(int) = all_166_3_340, yields: % 145.69/94.44 | (861) all_416_2_662 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (325) with all_196_1_377, all_0_92_92 and discharging atoms number_number_of(int, all_0_92_92) = all_196_1_377, yields: % 145.69/94.44 | (862) all_196_1_377 = all_0_92_92 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (250) with int, all_0_92_92, all_174_2_348, all_196_1_377 and discharging atoms number_number_of(int, all_0_92_92) = all_196_1_377, number_number_of(int, all_0_92_92) = all_174_2_348, yields: % 145.69/94.44 | (863) all_196_1_377 = all_174_2_348 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (325) with all_248_2_441, t and discharging atoms number_number_of(int, t) = all_248_2_441, yields: % 145.69/94.44 | (864) all_248_2_441 = t % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (250) with int, t, all_214_1_398, all_248_2_441 and discharging atoms number_number_of(int, t) = all_248_2_441, number_number_of(int, t) = all_214_1_398, yields: % 145.69/94.44 | (865) all_248_2_441 = all_214_1_398 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (250) with int, t, all_196_0_376, all_214_1_398 and discharging atoms number_number_of(int, t) = all_214_1_398, number_number_of(int, t) = all_196_0_376, yields: % 145.69/94.44 | (866) all_214_1_398 = all_196_0_376 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (250) with int, t, all_174_1_347, all_196_0_376 and discharging atoms number_number_of(int, t) = all_196_0_376, number_number_of(int, t) = all_174_1_347, yields: % 145.69/94.44 | (867) all_196_0_376 = all_174_1_347 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (132) with int, all_120_1_276, 0 and discharging atoms semiring_1(int) = all_120_1_276, semiring_1(int) = 0, yields: % 145.69/94.44 | (868) all_120_1_276 = 0 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (293) with int, all_0_92_92, all_332_1_537, all_338_1_545 and discharging atoms ti(int, all_0_92_92) = all_338_1_545, ti(int, all_0_92_92) = all_332_1_537, yields: % 145.69/94.44 | (869) all_338_1_545 = all_332_1_537 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (293) with int, all_0_92_92, all_264_1_463, all_338_1_545 and discharging atoms ti(int, all_0_92_92) = all_338_1_545, ti(int, all_0_92_92) = all_264_1_463, yields: % 145.69/94.44 | (870) all_338_1_545 = all_264_1_463 % 145.69/94.44 | % 145.69/94.44 | Instantiating formula (293) with int, all_0_92_92, all_120_0_275, all_338_1_545 and discharging atoms ti(int, all_0_92_92) = all_338_1_545, ti(int, all_0_92_92) = all_120_0_275, yields: % 145.69/94.44 | (871) all_338_1_545 = all_120_0_275 % 145.69/94.44 | % 145.69/94.44 | Combining equations (848,847) yields a new equation: % 145.69/94.44 | (872) all_75_2_223 = 0 % 145.69/94.44 | % 145.69/94.44 | Simplifying 872 yields: % 145.69/94.44 | (873) all_75_2_223 = 0 % 145.69/94.44 | % 145.69/94.44 | Combining equations (853,851) yields a new equation: % 145.69/94.44 | (874) all_409_1_652 = all_264_3_465 % 145.69/94.44 | % 145.69/94.44 | Combining equations (861,851) yields a new equation: % 145.69/94.44 | (875) all_409_1_652 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (849,851) yields a new equation: % 145.69/94.44 | (876) all_412_1_656 = all_409_1_652 % 145.69/94.44 | % 145.69/94.44 | Simplifying 876 yields: % 145.69/94.44 | (877) all_412_1_656 = all_409_1_652 % 145.69/94.44 | % 145.69/94.44 | Combining equations (850,852) yields a new equation: % 145.69/94.44 | (878) all_412_1_656 = all_348_1_574 % 145.69/94.44 | % 145.69/94.44 | Simplifying 878 yields: % 145.69/94.44 | (879) all_412_1_656 = all_348_1_574 % 145.69/94.44 | % 145.69/94.44 | Combining equations (877,879) yields a new equation: % 145.69/94.44 | (880) all_409_1_652 = all_348_1_574 % 145.69/94.44 | % 145.69/94.44 | Simplifying 880 yields: % 145.69/94.44 | (881) all_409_1_652 = all_348_1_574 % 145.69/94.44 | % 145.69/94.44 | Combining equations (874,881) yields a new equation: % 145.69/94.44 | (882) all_348_1_574 = all_264_3_465 % 145.69/94.44 | % 145.69/94.44 | Combining equations (875,881) yields a new equation: % 145.69/94.44 | (883) all_348_1_574 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (859,855) yields a new equation: % 145.69/94.44 | (884) all_198_3_381 = all_190_3_367 % 145.69/94.44 | % 145.69/94.44 | Combining equations (856,855) yields a new equation: % 145.69/94.44 | (885) all_198_3_381 = all_194_3_375 % 145.69/94.44 | % 145.69/94.44 | Combining equations (858,855) yields a new equation: % 145.69/94.44 | (886) all_198_3_381 = all_192_3_371 % 145.69/94.44 | % 145.69/94.44 | Combining equations (882,883) yields a new equation: % 145.69/94.44 | (887) all_264_3_465 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Simplifying 887 yields: % 145.69/94.44 | (888) all_264_3_465 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (870,869) yields a new equation: % 145.69/94.44 | (889) all_332_1_537 = all_264_1_463 % 145.69/94.44 | % 145.69/94.44 | Combining equations (871,869) yields a new equation: % 145.69/94.44 | (890) all_332_1_537 = all_120_0_275 % 145.69/94.44 | % 145.69/94.44 | Combining equations (889,890) yields a new equation: % 145.69/94.44 | (891) all_264_1_463 = all_120_0_275 % 145.69/94.44 | % 145.69/94.44 | Simplifying 891 yields: % 145.69/94.44 | (892) all_264_1_463 = all_120_0_275 % 145.69/94.44 | % 145.69/94.44 | Combining equations (857,888) yields a new equation: % 145.69/94.44 | (893) all_194_3_375 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Simplifying 893 yields: % 145.69/94.44 | (894) all_194_3_375 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (860,854) yields a new equation: % 145.69/94.44 | (895) all_190_3_367 = 0 % 145.69/94.44 | % 145.69/94.44 | Simplifying 895 yields: % 145.69/94.44 | (896) all_190_3_367 = 0 % 145.69/94.44 | % 145.69/94.44 | Combining equations (865,864) yields a new equation: % 145.69/94.44 | (897) all_214_1_398 = t % 145.69/94.44 | % 145.69/94.44 | Simplifying 897 yields: % 145.69/94.44 | (898) all_214_1_398 = t % 145.69/94.44 | % 145.69/94.44 | Combining equations (866,898) yields a new equation: % 145.69/94.44 | (899) all_196_0_376 = t % 145.69/94.44 | % 145.69/94.44 | Simplifying 899 yields: % 145.69/94.44 | (900) all_196_0_376 = t % 145.69/94.44 | % 145.69/94.44 | Combining equations (884,886) yields a new equation: % 145.69/94.44 | (901) all_192_3_371 = all_190_3_367 % 145.69/94.44 | % 145.69/94.44 | Combining equations (885,886) yields a new equation: % 145.69/94.44 | (902) all_194_3_375 = all_192_3_371 % 145.69/94.44 | % 145.69/94.44 | Simplifying 902 yields: % 145.69/94.44 | (903) all_194_3_375 = all_192_3_371 % 145.69/94.44 | % 145.69/94.44 | Combining equations (867,900) yields a new equation: % 145.69/94.44 | (904) all_174_1_347 = t % 145.69/94.44 | % 145.69/94.44 | Simplifying 904 yields: % 145.69/94.44 | (905) all_174_1_347 = t % 145.69/94.44 | % 145.69/94.44 | Combining equations (863,862) yields a new equation: % 145.69/94.44 | (906) all_174_2_348 = all_0_92_92 % 145.69/94.44 | % 145.69/94.44 | Simplifying 906 yields: % 145.69/94.44 | (907) all_174_2_348 = all_0_92_92 % 145.69/94.44 | % 145.69/94.44 | Combining equations (903,894) yields a new equation: % 145.69/94.44 | (908) all_192_3_371 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Simplifying 908 yields: % 145.69/94.44 | (909) all_192_3_371 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (901,909) yields a new equation: % 145.69/94.44 | (910) all_190_3_367 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Simplifying 910 yields: % 145.69/94.44 | (911) all_190_3_367 = all_166_3_340 % 145.69/94.44 | % 145.69/94.44 | Combining equations (896,911) yields a new equation: % 145.69/94.44 | (912) all_166_3_340 = 0 % 145.69/94.44 | % 145.69/94.44 | From (873) and (722) follows: % 145.69/94.44 | (51) number_ring(int) = 0 % 145.69/94.44 | % 145.69/94.44 | From (892) and (779) follows: % 145.69/94.44 | (914) ord_less(int, all_120_0_275, t) = all_264_0_462 % 145.69/94.44 | % 145.69/94.44 | From (912) and (735) follows: % 145.69/94.44 | (128) number(int) = 0 % 145.69/94.44 | % 145.69/94.44 | From (907) and (830) follows: % 145.69/94.44 | (916) number_number_of(int, all_0_92_92) = all_0_92_92 % 145.69/94.44 | % 145.69/94.44 | From (905) and (831) follows: % 145.69/94.44 | (917) number_number_of(int, t) = t % 145.69/94.44 | % 145.69/94.44 +-Applying beta-rule and splitting (737), into two cases. % 145.69/94.44 |-Branch one: % 145.69/94.44 | (918) all_175_0_349 = 0 & ord_less_eq(int, all_175_2_351, all_175_1_350) = 0 & number_number_of(int, all_0_92_92) = all_175_2_351 & number_number_of(int, t) = all_175_1_350 % 145.69/94.44 | % 145.69/94.44 | Applying alpha-rule on (918) yields: % 145.69/94.44 | (919) all_175_0_349 = 0 % 145.69/94.44 | (920) ord_less_eq(int, all_175_2_351, all_175_1_350) = 0 % 145.69/94.44 | (921) number_number_of(int, all_0_92_92) = all_175_2_351 % 145.69/94.44 | (922) number_number_of(int, t) = all_175_1_350 % 145.69/94.44 | % 145.69/94.44 +-Applying beta-rule and splitting (729), into two cases. % 145.69/94.44 |-Branch one: % 145.69/94.44 | (923) ~ (all_120_1_276 = 0) % 145.69/94.44 | % 145.69/94.45 | Equations (868) can reduce 923 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (868) all_120_1_276 = 0 % 145.69/94.45 | (926) all_120_0_275 = all_0_92_92 % 145.69/94.45 | % 145.69/94.45 | From (926) and (914) follows: % 145.69/94.45 | (927) ord_less(int, all_0_92_92, t) = all_264_0_462 % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (771), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (928) all_249_0_442 = 0 & ord_less(int, all_249_2_444, all_249_1_443) = 0 & number_number_of(int, all_0_91_91) = all_249_1_443 & number_number_of(int, t) = all_249_2_444 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (928) yields: % 145.69/94.45 | (929) all_249_0_442 = 0 % 145.69/94.45 | (930) ord_less(int, all_249_2_444, all_249_1_443) = 0 % 145.69/94.45 | (931) number_number_of(int, all_0_91_91) = all_249_1_443 % 145.69/94.45 | (932) number_number_of(int, t) = all_249_2_444 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (353) with int, all_0_92_92, t, all_264_0_462, all_0_22_22 and discharging atoms ord_less(int, all_0_92_92, t) = all_264_0_462, ord_less(int, all_0_92_92, t) = all_0_22_22, yields: % 145.69/94.45 | (933) all_264_0_462 = all_0_22_22 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (250) with int, all_0_92_92, all_0_92_92, all_175_2_351 and discharging atoms number_number_of(int, all_0_92_92) = all_175_2_351, number_number_of(int, all_0_92_92) = all_0_92_92, yields: % 145.69/94.45 | (934) all_175_2_351 = all_0_92_92 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (250) with int, t, all_175_1_350, all_249_2_444 and discharging atoms number_number_of(int, t) = all_249_2_444, number_number_of(int, t) = all_175_1_350, yields: % 145.69/94.45 | (935) all_249_2_444 = all_175_1_350 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (250) with int, t, t, all_249_2_444 and discharging atoms number_number_of(int, t) = all_249_2_444, number_number_of(int, t) = t, yields: % 145.69/94.45 | (936) all_249_2_444 = t % 145.69/94.45 | % 145.69/94.45 | Combining equations (936,935) yields a new equation: % 145.69/94.45 | (937) all_175_1_350 = t % 145.69/94.45 | % 145.69/94.45 | From (933) and (927) follows: % 145.69/94.45 | (339) ord_less(int, all_0_92_92, t) = all_0_22_22 % 145.69/94.45 | % 145.69/94.45 | From (934) and (921) follows: % 145.69/94.45 | (916) number_number_of(int, all_0_92_92) = all_0_92_92 % 145.69/94.45 | % 145.69/94.45 | From (937) and (922) follows: % 145.69/94.45 | (917) number_number_of(int, t) = t % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (235) with all_0_22_22, t, all_0_92_92, all_0_92_92, t, int and discharging atoms ord_less(int, all_0_92_92, t) = all_0_22_22, number(int) = 0, number_number_of(int, all_0_92_92) = all_0_92_92, number_number_of(int, t) = t, yields: % 145.69/94.45 | (941) all_0_22_22 = 0 | ? [v0] : ((v0 = 0 & ord_less_eq(int, t, all_0_92_92) = 0) | ( ~ (v0 = 0) & linorder(int) = v0)) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (239), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (942) ~ (all_0_22_22 = 0) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (703), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (943) all_0_22_22 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (943) can reduce 942 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (942) ~ (all_0_22_22 = 0) % 145.69/94.45 | (946) all_0_92_92 = t | ? [v0] : ( ~ (v0 = 0) & ord_less_eq(int, all_0_92_92, t) = v0) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (946), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (947) all_0_92_92 = t % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (407), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (948) ~ (all_0_92_92 = t) % 145.69/94.45 | % 145.69/94.45 | Equations (947) can reduce 948 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (947) all_0_92_92 = t % 145.69/94.45 | (951) all_0_0_0 = all_0_5_5 & power_power(int, all_0_3_3, all_0_9_9) = all_0_1_1 & power_power(int, all_0_4_4, all_0_9_9) = all_0_2_2 & plus_plus(int, all_0_2_2, all_0_1_1) = all_0_5_5 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (951) yields: % 145.69/94.45 | (952) all_0_0_0 = all_0_5_5 % 145.69/94.45 | (953) power_power(int, all_0_3_3, all_0_9_9) = all_0_1_1 % 145.69/94.45 | (954) power_power(int, all_0_4_4, all_0_9_9) = all_0_2_2 % 145.69/94.45 | (955) plus_plus(int, all_0_2_2, all_0_1_1) = all_0_5_5 % 145.69/94.45 | % 145.69/94.45 | From (621) and (953) follows: % 145.69/94.45 | (956) power_power(int, all_0_3_3, all_0_96_96) = all_0_1_1 % 145.69/94.45 | % 145.69/94.45 | From (621) and (954) follows: % 145.69/94.45 | (957) power_power(int, all_0_4_4, all_0_96_96) = all_0_2_2 % 145.69/94.45 | % 145.69/94.45 | From (689) and (955) follows: % 145.69/94.45 | (958) plus_plus(int, all_0_2_2, all_0_1_1) = all_0_91_91 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (396) with all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms power_power(int, all_0_3_3, all_0_96_96) = all_0_1_1, power_power(int, all_0_4_4, all_0_96_96) = all_0_2_2, plus_plus(int, all_0_2_2, all_0_1_1) = all_0_91_91, yields: % 145.69/94.45 | (823) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (948) ~ (all_0_92_92 = t) % 145.69/94.45 | (961) ? [v0] : ( ~ (v0 = 0) & ord_less_eq(int, all_0_92_92, t) = v0) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (941), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (943) all_0_22_22 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (943) can reduce 942 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (942) ~ (all_0_22_22 = 0) % 145.69/94.45 | (965) ? [v0] : ((v0 = 0 & ord_less_eq(int, t, all_0_92_92) = 0) | ( ~ (v0 = 0) & linorder(int) = v0)) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (699), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (947) all_0_92_92 = t % 145.69/94.45 | % 145.69/94.45 | Equations (947) can reduce 948 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (948) ~ (all_0_92_92 = t) % 145.69/94.45 | (969) ? [v0] : ( ~ (v0 = 0) & ord_less_eq(int, t, all_0_92_92) = v0) % 145.69/94.45 | % 145.69/94.45 +-Applying beta-rule and splitting (700), into two cases. % 145.69/94.45 |-Branch one: % 145.69/94.45 | (970) ord_less(int, all_0_92_92, t) = 0 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (353) with int, all_0_92_92, t, 0, all_0_22_22 and discharging atoms ord_less(int, all_0_92_92, t) = all_0_22_22, ord_less(int, all_0_92_92, t) = 0, yields: % 145.69/94.45 | (943) all_0_22_22 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (943) can reduce 942 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (973) ~ (ord_less(int, all_0_92_92, t) = 0) % 145.69/94.45 | (947) all_0_92_92 = t % 145.69/94.45 | % 145.69/94.45 | Equations (947) can reduce 948 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (943) all_0_22_22 = 0 % 145.69/94.45 | (977) all_0_11_11 = all_0_16_16 & power_power(int, all_0_14_14, all_0_20_20) = all_0_12_12 & power_power(int, all_0_15_15, all_0_20_20) = all_0_13_13 & plus_plus(int, all_0_13_13, all_0_12_12) = all_0_16_16 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (977) yields: % 145.69/94.45 | (978) all_0_11_11 = all_0_16_16 % 145.69/94.45 | (979) power_power(int, all_0_14_14, all_0_20_20) = all_0_12_12 % 145.69/94.45 | (980) power_power(int, all_0_15_15, all_0_20_20) = all_0_13_13 % 145.69/94.45 | (981) plus_plus(int, all_0_13_13, all_0_12_12) = all_0_16_16 % 145.69/94.45 | % 145.69/94.45 | From (619) and (979) follows: % 145.69/94.45 | (982) power_power(int, all_0_14_14, all_0_96_96) = all_0_12_12 % 145.69/94.45 | % 145.69/94.45 | From (619) and (980) follows: % 145.69/94.45 | (983) power_power(int, all_0_15_15, all_0_96_96) = all_0_13_13 % 145.69/94.45 | % 145.69/94.45 | From (688) and (981) follows: % 145.69/94.45 | (984) plus_plus(int, all_0_13_13, all_0_12_12) = all_0_91_91 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (396) with all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 and discharging atoms power_power(int, all_0_14_14, all_0_96_96) = all_0_12_12, power_power(int, all_0_15_15, all_0_96_96) = all_0_13_13, plus_plus(int, all_0_13_13, all_0_12_12) = all_0_91_91, yields: % 145.69/94.45 | (823) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (986) ~ (all_249_2_444 = 0) & number_ring(int) = all_249_2_444 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (986) yields: % 145.69/94.45 | (987) ~ (all_249_2_444 = 0) % 145.69/94.45 | (988) number_ring(int) = all_249_2_444 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (23) with int, all_249_2_444, 0 and discharging atoms number_ring(int) = all_249_2_444, number_ring(int) = 0, yields: % 145.69/94.45 | (989) all_249_2_444 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (989) can reduce 987 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (991) ~ (all_175_2_351 = 0) & number_ring(int) = all_175_2_351 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (991) yields: % 145.69/94.45 | (992) ~ (all_175_2_351 = 0) % 145.69/94.45 | (993) number_ring(int) = all_175_2_351 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (23) with int, all_175_2_351, 0 and discharging atoms number_ring(int) = all_175_2_351, number_ring(int) = 0, yields: % 145.69/94.45 | (994) all_175_2_351 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (994) can reduce 992 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (996) ~ (all_248_2_441 = 0) & linordered_idom(int) = all_248_2_441 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (996) yields: % 145.69/94.45 | (997) ~ (all_248_2_441 = 0) % 145.69/94.45 | (998) linordered_idom(int) = all_248_2_441 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (58) with int, all_248_2_441, 0 and discharging atoms linordered_idom(int) = all_248_2_441, linordered_idom(int) = 0, yields: % 145.69/94.45 | (999) all_248_2_441 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (999) can reduce 997 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 |-Branch two: % 145.69/94.45 | (1001) ~ (all_174_2_348 = 0) & linordered_idom(int) = all_174_2_348 % 145.69/94.45 | % 145.69/94.45 | Applying alpha-rule on (1001) yields: % 145.69/94.45 | (1002) ~ (all_174_2_348 = 0) % 145.69/94.45 | (1003) linordered_idom(int) = all_174_2_348 % 145.69/94.45 | % 145.69/94.45 | Instantiating formula (58) with int, all_174_2_348, 0 and discharging atoms linordered_idom(int) = all_174_2_348, linordered_idom(int) = 0, yields: % 145.69/94.45 | (1004) all_174_2_348 = 0 % 145.69/94.45 | % 145.69/94.45 | Equations (1004) can reduce 1002 to: % 145.69/94.45 | (924) $false % 145.69/94.45 | % 145.69/94.45 |-The branch is then unsatisfiable % 145.69/94.45 % SZS output end Proof for theBenchmark % 145.69/94.45 % 145.69/94.45 93874ms %------------------------------------------------------------------------------