%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n015.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 08:49:49 EDT 2022 % Result : Theorem 6.80s 2.22s % Output : Proof 12.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n015.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jul 6 17:25:49 EDT 2022 % 0.12/0.34 % CPUTime : % 0.52/0.59 ____ _ % 0.52/0.59 ___ / __ \_____(_)___ ________ __________ % 0.52/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.52/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.52/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.52/0.59 % 0.52/0.59 A Theorem Prover for First-Order Logic % 0.52/0.59 (ePrincess v.1.0) % 0.52/0.59 % 0.52/0.59 (c) Philipp Rümmer, 2009-2015 % 0.52/0.59 (c) Peter Backeman, 2014-2015 % 0.52/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.52/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.52/0.59 Bug reports to peter@backeman.se % 0.52/0.59 % 0.52/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.52/0.59 % 0.52/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.69/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.38/1.10 Prover 0: Preprocessing ... % 5.22/1.79 Prover 0: Warning: ignoring some quantifiers % 5.37/1.83 Prover 0: Constructing countermodel ... % 6.80/2.22 Prover 0: proved (1577ms) % 6.80/2.22 % 6.80/2.22 No countermodel exists, formula is valid % 6.80/2.22 % SZS status Theorem for theBenchmark % 6.80/2.22 % 6.80/2.22 Generating proof ... Warning: ignoring some quantifiers % 11.47/3.22 found it (size 44) % 11.47/3.22 % 11.47/3.22 % SZS output start Proof for theBenchmark % 11.47/3.22 Assumed formulas after preprocessing and simplification: % 11.47/3.22 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v0 = pls) & power_power(int, v2, v5) = pls & semiring_1_of_nat(int, v9) = v0 & semiring_1_of_nat(int, v8) = pls & semiring_1_of_nat(int, n) = v1 & number_number_of(nat, v6) = v7 & number_number_of(nat, v4) = v5 & number_number_of(nat, v3) = v9 & number_number_of(nat, pls) = v8 & number_number_of(int, v3) = v0 & number_number_of(int, pls) = pls & bit1(pls) = v3 & bit0(v4) = v6 & bit0(v3) = v4 & bit0(pls) = pls & zero_zero(nat) = v8 & zero_zero(int) = pls & plus_plus(nat, v9, v9) = v5 & plus_plus(int, v0, v1) = v2 & one_one(nat) = v9 & one_one(int) = v0 & ti(nat, n) = n & ti(int, t) = t & ti(int, pls) = pls & ring_char_0(int) & number_ring(int) & ring_11004092258visors(int) & semiring_1(nat) & semiring_1(int) & ord_less(nat, v8, n) & ord_less(int, v0, t) & ord_less(int, pls, v2) & ord_less(int, pls, v0) & linordered_idom(int) & number(nat) & number(int) & zero_neq_one(nat) & zero_neq_one(int) & no_zero_divisors(nat) & no_zero_divisors(int) & mult_zero(nat) & mult_zero(int) & number_semiring(nat) & number_semiring(int) & linord219039673up_add(int) & semiring_0(nat) & semiring_0(int) & power(nat) & power(int) & ~ ord_less(int, pls, pls) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (number_number_of(v10, v12) = v15) | ~ (number_number_of(v10, v11) = v14) | ~ (plus_plus(v10, v15, v13) = v16) | ~ (plus_plus(v10, v14, v16) = v17) | ~ number_ring(v10) | ? [v18] : ? [v19] : (number_number_of(v10, v18) = v19 & plus_plus(v10, v19, v13) = v17 & plus_plus(int, v11, v12) = v18)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v11 | ~ (power_power(v10, v13, v5) = v15) | ~ (power_power(v10, v12, v5) = v14) | ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v14, v15) = v16) | ~ linordered_idom(v10) | ? [v17] : ? [v18] : (ti(v10, v13) = v18 & ti(v10, v12) = v17 & ( ~ (v18 = v11) | ~ (v17 = v11)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (power_power(v10, v13, v5) = v15) | ~ (power_power(v10, v12, v5) = v14) | ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v14, v15) = v16) | ~ ord_less(v10, v11, v16) | ~ linordered_idom(v10) | ? [v17] : ? [v18] : (ti(v10, v13) = v18 & ti(v10, v12) = v17 & ( ~ (v18 = v11) | ~ (v17 = v11)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (power_power(v10, v13, v5) = v15) | ~ (power_power(v10, v12, v5) = v14) | ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v14, v15) = v16) | ~ linordered_idom(v10) | ord_less(v10, v11, v16) | (ti(v10, v13) = v11 & ti(v10, v12) = v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (semiring_1_of_nat(int, v11) = v14) | ~ (semiring_1_of_nat(int, v10) = v13) | ~ (plus_plus(int, v14, v12) = v15) | ~ (plus_plus(int, v13, v15) = v16) | ? [v17] : ? [v18] : (semiring_1_of_nat(int, v17) = v18 & plus_plus(nat, v10, v11) = v17 & plus_plus(int, v18, v12) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (number_number_of(v10, v14) = v15) | ~ (plus_plus(v10, v15, v13) = v16) | ~ (plus_plus(int, v11, v12) = v14) | ~ number_ring(v10) | ? [v17] : ? [v18] : ? [v19] : (number_number_of(v10, v12) = v18 & number_number_of(v10, v11) = v17 & plus_plus(v10, v18, v13) = v19 & plus_plus(v10, v17, v19) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v11 | v14 = v8 | ~ (power_power(v10, v12, v14) = v15) | ~ (number_number_of(nat, v13) = v14) | ~ (zero_zero(v10) = v11) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | ? [v16] : ( ~ (v16 = v11) & ti(v10, v12) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v11 | ~ (number_number_of(nat, v13) = v14) | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v15) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | ? [v16] : ( ~ (v16 = v11) & power_power(v10, v12, v14) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v15) | ~ (ti(v10, v12) = v14) | ~ linordered_idom(v10) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = v11) & power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v15) | ~ (ti(v10, v12) = v14) | ~ linordered_idom(v10) | ? [v16] : ? [v17] : ? [v18] : (power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18 & ord_less(v10, v11, v18))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v15) | ~ (ti(v10, v12) = v14) | ~ linordered_idom(v10) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = v11) & power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v15) | ~ (ti(v10, v12) = v14) | ~ linordered_idom(v10) | ? [v16] : ? [v17] : ? [v18] : (power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18 & ord_less(v10, v11, v18))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (power_power(v10, v13, v5) = v15) | ~ (power_power(v10, v12, v5) = v14) | ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v14, v15) = v11) | ~ linordered_idom(v10) | (ti(v10, v13) = v11 & ti(v10, v12) = v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (semiring_1_of_nat(int, v13) = v14) | ~ (plus_plus(nat, v10, v11) = v13) | ~ (plus_plus(int, v14, v12) = v15) | ? [v16] : ? [v17] : ? [v18] : (semiring_1_of_nat(int, v11) = v17 & semiring_1_of_nat(int, v10) = v16 & plus_plus(int, v17, v12) = v18 & plus_plus(int, v16, v18) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (number_number_of(v10, v12) = v14) | ~ (number_number_of(v10, v11) = v13) | ~ (plus_plus(v10, v13, v14) = v15) | ~ number_ring(v10) | ? [v16] : (number_number_of(v10, v16) = v15 & plus_plus(int, v11, v12) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (power_power(v12, v10, v11) = v13) | ~ (ti(v12, v13) = v14) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (power_power(v12, v10, v11) = v13) | ~ (ti(v12, v13) = v14) | ~ semiring_0(v12) | ~ power(v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (number_number_of(nat, v11) = v12) | ~ (number_number_of(nat, v10) = v13) | ~ (plus_plus(nat, v12, v13) = v14) | ~ ord_less(int, v11, pls)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (plus_plus(v12, v10, v11) = v13) | ~ (ti(v12, v13) = v14) | ~ number_semiring(v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (plus_plus(v12, v10, v11) = v13) | ~ (ti(v12, v13) = v14) | ~ linord219039673up_add(v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (number_number_of(nat, v11) = v12) | ~ (number_number_of(nat, v10) = v13) | ~ (plus_plus(nat, v12, v13) = v14) | ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | v13 = v8 | ~ (power_power(v10, v11, v13) = v14) | ~ (number_number_of(nat, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ semiring_0(v10) | ~ power(v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v8 | ~ (number_number_of(nat, v13) = v14) | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v11) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | power_power(v10, v12, v14) = v11) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (power_power(v14, v13, v12) = v11) | ~ (power_power(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (plus_plus(v14, v13, v12) = v11) | ~ (plus_plus(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (power_power(v12, v13, v11) = v14) | ~ (ti(v12, v10) = v13) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12) | power_power(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (power_power(v12, v13, v11) = v14) | ~ (ti(v12, v10) = v13) | ~ semiring_0(v12) | ~ power(v12) | power_power(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (power_power(v12, v10, v13) = v14) | ~ (ti(nat, v11) = v13) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12) | power_power(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (power_power(v12, v10, v13) = v14) | ~ (ti(nat, v11) = v13) | ~ semiring_0(v12) | ~ power(v12) | power_power(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (power_power(v10, v12, v14) = v11) | ~ (number_number_of(nat, v13) = v14) | ~ (zero_zero(v10) = v11) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | ti(v10, v12) = v11) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (semiring_1_of_nat(int, v11) = v13) | ~ (semiring_1_of_nat(int, v10) = v12) | ~ (plus_plus(int, v12, v13) = v14) | ? [v15] : (semiring_1_of_nat(int, v15) = v14 & plus_plus(nat, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v13) = v14) | ~ (plus_plus(int, v12, v3) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ? [v15] : (number_number_of(v10, v12) = v15 & plus_plus(v10, v15, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v13) = v14) | ~ (plus_plus(int, v11, v12) = v13) | ~ number_ring(v10) | ? [v15] : ? [v16] : (number_number_of(v10, v12) = v16 & number_number_of(v10, v11) = v15 & plus_plus(v10, v15, v16) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v13) = v14) | ~ (plus_plus(int, v3, v12) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ? [v15] : (number_number_of(v10, v12) = v15 & plus_plus(v10, v11, v15) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v12) = v14) | ~ (number_number_of(v10, v11) = v13) | ~ number_ring(v10) | ~ ord_less(v10, v13, v14) | ~ linordered_idom(v10) | ord_less(int, v11, v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v12) = v14) | ~ (number_number_of(v10, v11) = v13) | ~ number_ring(v10) | ~ ord_less(int, v11, v12) | ~ linordered_idom(v10) | ord_less(v10, v13, v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v12) = v13) | ~ (plus_plus(v10, v13, v11) = v14) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ? [v15] : (number_number_of(v10, v15) = v14 & plus_plus(int, v12, v3) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(v10, v12) = v13) | ~ (plus_plus(v10, v11, v13) = v14) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ? [v15] : (number_number_of(v10, v15) = v14 & plus_plus(int, v3, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(nat, v13) = v8) | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v14) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | ? [v15] : ( ~ (v15 = v11) & power_power(v10, v12, v8) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(nat, v11) = v12) | ~ (number_number_of(nat, v10) = v13) | ~ (plus_plus(nat, v12, v13) = v14) | ord_less(int, v11, pls) | ord_less(int, v10, pls) | ? [v15] : (number_number_of(nat, v15) = v14 & plus_plus(int, v11, v10) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (number_number_of(int, v11) = v13) | ~ (number_number_of(int, v10) = v12) | ~ (plus_plus(int, v12, v13) = v14) | ? [v15] : (number_number_of(int, v15) = v14 & plus_plus(int, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (bit1(v11) = v13) | ~ (bit0(v10) = v12) | ~ (plus_plus(int, v12, v13) = v14) | ? [v15] : (bit1(v15) = v14 & plus_plus(int, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (bit1(v10) = v12) | ~ (bit0(v11) = v13) | ~ (plus_plus(int, v12, v13) = v14) | ? [v15] : (bit1(v15) = v14 & plus_plus(int, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (bit0(v11) = v13) | ~ (bit0(v10) = v12) | ~ (plus_plus(int, v12, v13) = v14) | ? [v15] : (bit0(v15) = v14 & plus_plus(int, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(v12, v13, v11) = v14) | ~ (ti(v12, v10) = v13) | ~ number_semiring(v12) | plus_plus(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(v12, v13, v11) = v14) | ~ (ti(v12, v10) = v13) | ~ linord219039673up_add(v12) | plus_plus(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(v12, v10, v13) = v14) | ~ (ti(v12, v11) = v13) | ~ number_semiring(v12) | plus_plus(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(v12, v10, v13) = v14) | ~ (ti(v12, v11) = v13) | ~ linord219039673up_add(v12) | plus_plus(v12, v10, v11) = v14) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(int, v13, v12) = v14) | ~ (plus_plus(int, v10, v11) = v13) | ? [v15] : (plus_plus(int, v11, v12) = v15 & plus_plus(int, v10, v15) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(int, v12, v10) = v14) | ~ (plus_plus(int, v11, v10) = v13) | ~ ord_less(int, v11, v12) | ord_less(int, v13, v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(int, v11, v13) = v14) | ~ (plus_plus(int, v10, v12) = v13) | ? [v15] : (plus_plus(int, v11, v12) = v15 & plus_plus(int, v10, v15) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(int, v11, v12) = v13) | ~ (plus_plus(int, v10, v13) = v14) | ? [v15] : (plus_plus(int, v15, v12) = v14 & plus_plus(int, v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (plus_plus(int, v11, v12) = v13) | ~ (plus_plus(int, v10, v13) = v14) | ? [v15] : (plus_plus(int, v11, v15) = v14 & plus_plus(int, v10, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (semiring_1_of_nat(v11, v10) = v12) | ~ (ti(v11, v12) = v13) | ~ number_semiring(v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (number_number_of(v11, v10) = v12) | ~ (ti(v11, v12) = v13) | ~ number(v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (number_number_of(v10, v11) = v13) | ~ (number_number_of(v10, v11) = v12) | ~ ring_char_0(v10) | ~ number_ring(v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (ti(v10, v12) = v13) | ~ (ti(v10, v11) = v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (power_power(v10, v12, v5) = v13) | ~ (zero_zero(v10) = v11) | ~ ring_11004092258visors(v10) | ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v12, v12) = v13) | ~ linord219039673up_add(v10) | ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v13) | ~ ring_11004092258visors(v10) | ? [v14] : ( ~ (v14 = v11) & power_power(v10, v12, v5) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v13) | ~ linordered_idom(v10) | ? [v14] : (power_power(v10, v12, v5) = v14 & ord_less(v10, v11, v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v13) | ~ linord219039673up_add(v10) | ? [v14] : ( ~ (v14 = v11) & plus_plus(v10, v12, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v8 | ~ (number_number_of(nat, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ semiring_0(v10) | ~ power(v10) | power_power(v10, v11, v13) = v11) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (number_number_of(v10, v12) = v13) | ~ (number_number_of(v10, v11) = v13) | ~ ring_char_0(v10) | ~ number_ring(v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (semiring_1_of_nat(v13, v12) = v11) | ~ (semiring_1_of_nat(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (number_number_of(v13, v12) = v11) | ~ (number_number_of(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (ti(v13, v12) = v11) | ~ (ti(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12) | ti(v12, v13) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12) | ? [v14] : (power_power(v12, v14, v11) = v13 & ti(v12, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ zero_neq_one(v12) | ~ no_zero_divisors(v12) | ~ mult_zero(v12) | ~ power(v12) | ? [v14] : (power_power(v12, v10, v14) = v13 & ti(nat, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ semiring_0(v12) | ~ power(v12) | ti(v12, v13) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ semiring_0(v12) | ~ power(v12) | ? [v14] : (power_power(v12, v14, v11) = v13 & ti(v12, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) | ~ semiring_0(v12) | ~ power(v12) | ? [v14] : (power_power(v12, v10, v14) = v13 & ti(nat, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v10, v12, v8) = v11) | ~ (number_number_of(nat, v13) = v8) | ~ (zero_zero(v10) = v11) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) | ~ (zero_zero(v10) = v11) | ~ ord_less(v10, v13, v11) | ~ linordered_idom(v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) | ~ (zero_zero(v10) = v11) | ~ ord_less(v10, v11, v13) | ~ linordered_idom(v10) | ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) | ~ (zero_zero(v10) = v11) | ~ linordered_idom(v10) | ti(v10, v12) = v11 | ord_less(v10, v11, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (power_power(int, v12, v11) = v13) | ~ (semiring_1_of_nat(int, v10) = v12) | ? [v14] : (power_power(nat, v10, v11) = v14 & semiring_1_of_nat(int, v14) = v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (semiring_1_of_nat(v11, v12) = v13) | ~ (ti(nat, v10) = v12) | ~ number_semiring(v11) | semiring_1_of_nat(v11, v10) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (semiring_1_of_nat(int, v11) = v12) | ~ (number_number_of(v10, v12) = v13) | ~ number_semiring(v10) | semiring_1_of_nat(v10, v11) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v11, v12) = v13) | ~ (ti(int, v10) = v12) | ~ number(v11) | number_number_of(v11, v10) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ number_ring(v10) | ~ ord_less(v10, v13, v11) | ~ linordered_idom(v10) | ord_less(int, v12, pls)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ number_ring(v10) | ~ ord_less(v10, v11, v13) | ~ linordered_idom(v10) | ord_less(int, pls, v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ number_ring(v10) | ~ ord_less(int, v12, pls) | ~ linordered_idom(v10) | ord_less(v10, v13, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (zero_zero(v10) = v11) | ~ number_ring(v10) | ~ ord_less(int, pls, v12) | ~ linordered_idom(v10) | ord_less(v10, v11, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ~ ord_less(v10, v13, v11) | ~ linordered_idom(v10) | ord_less(int, v12, v3)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ~ ord_less(v10, v11, v13) | ~ linordered_idom(v10) | ord_less(int, v3, v12)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ~ ord_less(int, v12, v3) | ~ linordered_idom(v10) | ord_less(v10, v13, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, v12) = v13) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | ~ ord_less(int, v3, v12) | ~ linordered_idom(v10) | ord_less(v10, v11, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, pls) = v11) | ~ (plus_plus(v10, v12, v11) = v13) | ~ number_ring(v10) | ti(v10, v12) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, pls) = v11) | ~ (plus_plus(v10, v11, v12) = v13) | ~ number_ring(v10) | ti(v10, v12) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, pls) = v11) | ~ (ti(v10, v12) = v13) | ~ number_ring(v10) | plus_plus(v10, v12, v11) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(v10, pls) = v11) | ~ (ti(v10, v12) = v13) | ~ number_ring(v10) | plus_plus(v10, v11, v12) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(int, v11) = v13) | ~ (number_number_of(int, v10) = v12) | ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (number_number_of(int, v11) = v13) | ~ (number_number_of(int, v10) = v12) | ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit1(v11) = v13) | ~ (bit1(v10) = v12) | ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit1(v11) = v13) | ~ (bit1(v10) = v12) | ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit1(v10) = v12) | ~ (bit0(v11) = v13) | ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit1(v10) = v12) | ~ (bit0(v11) = v13) | ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit0(v11) = v13) | ~ (bit0(v10) = v12) | ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (bit0(v11) = v13) | ~ (bit0(v10) = v12) | ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v12, v12) = v13) | ~ ord_less(v10, v13, v11) | ~ linordered_idom(v10) | ord_less(v10, v12, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v12, v12) = v13) | ~ ord_less(v10, v12, v11) | ~ linordered_idom(v10) | ord_less(v10, v13, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v11) | ~ (ti(v10, v12) = v11) | ~ linordered_idom(v10) | ? [v14] : ? [v15] : ? [v16] : (power_power(v10, v13, v5) = v15 & power_power(v10, v12, v5) = v14 & plus_plus(v10, v14, v15) = v16 & ~ ord_less(v10, v11, v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (zero_zero(v10) = v11) | ~ (ti(v10, v13) = v11) | ~ (ti(v10, v12) = v11) | ~ linordered_idom(v10) | ? [v14] : ? [v15] : (power_power(v10, v13, v5) = v15 & power_power(v10, v12, v5) = v14 & plus_plus(v10, v14, v15) = v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ number_semiring(v12) | ti(v12, v13) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ number_semiring(v12) | ? [v14] : (plus_plus(v12, v14, v11) = v13 & ti(v12, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ number_semiring(v12) | ? [v14] : (plus_plus(v12, v10, v14) = v13 & ti(v12, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ linord219039673up_add(v12) | ti(v12, v13) = v13) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ linord219039673up_add(v12) | ? [v14] : (plus_plus(v12, v14, v11) = v13 & ti(v12, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) | ~ linord219039673up_add(v12) | ? [v14] : (plus_plus(v12, v10, v14) = v13 & ti(v12, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ti(v12, v11) = v13) | ~ ord_less(v12, v10, v13) | ~ linordered_idom(v12) | ord_less(v12, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ti(v12, v11) = v13) | ~ ord_less(v12, v10, v11) | ~ linordered_idom(v12) | ord_less(v12, v10, v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ti(v12, v10) = v13) | ~ ord_less(v12, v13, v11) | ~ linordered_idom(v12) | ord_less(v12, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (ti(v12, v10) = v13) | ~ ord_less(v12, v10, v11) | ~ linordered_idom(v12) | ord_less(v12, v13, v11)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (power_power(v10, v11, v5) = v12) | ~ (zero_zero(v10) = v11) | ~ semiring_1(v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (power_power(v10, v11, v5) = v12) | ~ (one_one(v10) = v11) | ~ semiring_1(v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (semiring_1_of_nat(int, v10) = v12) | ~ (semiring_1_of_nat(int, v10) = v11)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (bit1(v10) = v12) | ~ (bit1(v10) = v11)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (bit0(v10) = v12) | ~ (bit0(v10) = v11)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (undefined(v10) = v11) | ~ (ti(v10, v11) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v11) = v12) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v11) = v12) | ~ linord219039673up_add(v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (zero_zero(v10) = v11) | ~ (ti(v10, v11) = v12) | ~ semiring_0(v10) | ~ power(v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (one_one(v10) = v11) | ~ (ti(v10, v11) = v12) | ~ semiring_0(v10) | ~ power(v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (semiring_1_of_nat(int, v11) = v12) | ~ (semiring_1_of_nat(int, v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (bit1(v12) = v11) | ~ (bit1(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (bit1(v11) = v12) | ~ (bit1(v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (bit0(v12) = v11) | ~ (bit0(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (bit0(v11) = v12) | ~ (bit0(v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (undefined(v12) = v11) | ~ (undefined(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (zero_zero(v12) = v11) | ~ (zero_zero(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (plus_plus(int, v11, v0) = v12) | ~ ord_less(int, v10, v12) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (one_one(v12) = v11) | ~ (one_one(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (power_power(v10, v12, v5) = v11) | ~ (zero_zero(v10) = v11) | ~ ring_11004092258visors(v10) | ti(v10, v12) = v11) & ! [v10] : ! [v11] : ! [v12] : ( ~ (power_power(nat, v10, v11) = v12) | ? [v13] : ? [v14] : (power_power(int, v14, v11) = v13 & semiring_1_of_nat(int, v12) = v13 & semiring_1_of_nat(int, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (power_power(nat, v10, v11) = v12) | ? [v13] : ? [v14] : (power_power(int, v13, v11) = v14 & semiring_1_of_nat(int, v12) = v14 & semiring_1_of_nat(int, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (semiring_1_of_nat(v11, v10) = v12) | ~ number_semiring(v11) | ti(v11, v12) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (semiring_1_of_nat(v11, v10) = v12) | ~ number_semiring(v11) | ? [v13] : (semiring_1_of_nat(v11, v13) = v12 & ti(nat, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (semiring_1_of_nat(v10, v11) = v12) | ~ number_semiring(v10) | ? [v13] : (semiring_1_of_nat(int, v11) = v13 & number_number_of(v10, v13) = v12)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (number_number_of(v11, v10) = v12) | ~ number(v11) | ti(v11, v12) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (number_number_of(v11, v10) = v12) | ~ number(v11) | ? [v13] : (number_number_of(v11, v13) = v12 & ti(int, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (bit1(v11) = v12) | ~ (bit0(v10) = v12)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (bit1(v10) = v12) | ~ (bit0(v11) = v12)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (zero_zero(v10) = v11) | ~ (plus_plus(v10, v12, v12) = v11) | ~ linord219039673up_add(v10) | ti(v10, v12) = v11) & ! [v10] : ! [v11] : ! [v12] : ( ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v11) | ~ ring_11004092258visors(v10) | power_power(v10, v12, v5) = v11) & ! [v10] : ! [v11] : ! [v12] : ( ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v11) | ~ linordered_idom(v10) | ? [v13] : (power_power(v10, v12, v5) = v13 & ~ ord_less(v10, v11, v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (zero_zero(v10) = v11) | ~ (ti(v10, v12) = v11) | ~ linord219039673up_add(v10) | plus_plus(v10, v12, v12) = v11) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(v10, v11, v11) = v12) | ~ (one_one(v10) = v11) | ~ number_ring(v10) | number_number_of(v10, v4) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(v10, v11, v11) = v12) | ~ (one_one(v10) = v11) | ~ number_semiring(v10) | number_number_of(v10, v4) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(nat, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (semiring_1_of_nat(int, v12) = v15 & semiring_1_of_nat(int, v11) = v14 & semiring_1_of_nat(int, v10) = v13 & plus_plus(int, v13, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | ~ (plus_plus(int, v0, v10) = v11) | ~ ord_less(int, v12, pls) | ord_less(int, v10, pls)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | ~ (plus_plus(int, v0, v10) = v11) | ~ ord_less(int, v10, pls) | ord_less(int, v12, pls)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | ~ (plus_plus(int, v0, v10) = v11) | bit1(v10) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | plus_plus(int, v10, v11) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | ord_less(int, v11, pls) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (number_number_of(nat, v12) = v16 & number_number_of(nat, v11) = v13 & number_number_of(nat, v10) = v14 & plus_plus(nat, v13, v14) = v15 & (v16 = v15 | ord_less(int, v10, pls)) & (v15 = v13 | ~ ord_less(int, v10, pls)))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v11, v0) = v12) | ~ ord_less(int, v10, v11) | ord_less(int, v10, v12)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | plus_plus(int, v11, v10) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (number_number_of(int, v12) = v15 & number_number_of(int, v11) = v14 & number_number_of(int, v10) = v13 & plus_plus(int, v13, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (bit1(v12) = v15 & bit1(v11) = v14 & bit0(v10) = v13 & plus_plus(int, v13, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (bit1(v12) = v15 & bit1(v10) = v13 & bit0(v11) = v14 & plus_plus(int, v13, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (bit0(v12) = v15 & bit0(v11) = v14 & bit0(v10) = v13 & plus_plus(int, v13, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ti(v10, v11) = v12) | ti(v10, v12) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ti(nat, v11) = v12) | ~ ord_less(nat, v10, v12) | ord_less(nat, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ti(nat, v11) = v12) | ~ ord_less(nat, v10, v11) | ord_less(nat, v10, v12)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ti(nat, v10) = v12) | ~ ord_less(nat, v12, v11) | ord_less(nat, v10, v11)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (ti(nat, v10) = v12) | ~ ord_less(nat, v10, v11) | ord_less(nat, v12, v11)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (plus_plus(int, v10, pls) = v11)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (plus_plus(int, pls, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (power_power(int, v10, v7) = v11) | ? [v12] : (power_power(int, v12, v5) = v11 & power_power(int, v10, v5) = v12)) & ! [v10] : ! [v11] : ( ~ (power_power(int, v10, v5) = v11) | ? [v12] : (power_power(int, v11, v5) = v12 & power_power(int, v10, v7) = v12)) & ! [v10] : ! [v11] : ( ~ (semiring_1_of_nat(int, v10) = v11) | ~ ord_less(int, v11, pls)) & ! [v10] : ! [v11] : ( ~ (number_number_of(v10, v4) = v11) | ~ number_ring(v10) | ? [v12] : (plus_plus(v10, v12, v12) = v11 & one_one(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (number_number_of(v10, v4) = v11) | ~ number_semiring(v10) | ? [v12] : (plus_plus(v10, v12, v12) = v11 & one_one(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (number_number_of(v10, v3) = v11) | ~ number_ring(v10) | one_one(v10) = v11) & ! [v10] : ! [v11] : ( ~ (number_number_of(v10, pls) = v11) | ~ number_ring(v10) | zero_zero(v10) = v11) & ! [v10] : ! [v11] : ( ~ (number_number_of(v10, pls) = v11) | ~ number_semiring(v10) | zero_zero(v10) = v11) & ! [v10] : ! [v11] : ( ~ (bit1(v10) = v11) | ~ ord_less(int, v11, pls) | ord_less(int, v10, pls)) & ! [v10] : ! [v11] : ( ~ (bit1(v10) = v11) | ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) & ! [v10] : ! [v11] : ( ~ (bit1(v10) = v11) | ti(int, v11) = v11) & ! [v10] : ! [v11] : ( ~ (bit1(v10) = v11) | ? [v12] : (bit1(v12) = v11 & ti(int, v10) = v12)) & ! [v10] : ! [v11] : ( ~ (bit1(v10) = v11) | ? [v12] : (plus_plus(int, v12, v10) = v11 & plus_plus(int, v0, v10) = v12)) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ~ ord_less(int, v11, pls) | ord_less(int, v10, pls)) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ~ ord_less(int, pls, v11) | ord_less(int, pls, v10)) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ~ ord_less(int, pls, v10) | ord_less(int, pls, v11)) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | plus_plus(int, v10, v10) = v11) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ti(int, v11) = v11) & ! [v10] : ! [v11] : ( ~ (bit0(v10) = v11) | ? [v12] : (bit0(v12) = v11 & ti(int, v10) = v12)) & ! [v10] : ! [v11] : ( ~ (undefined(v10) = v11) | ti(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ number_ring(v10) | number_number_of(v10, pls) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ semiring_1(v10) | power_power(v10, v11, v5) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ zero_neq_one(v10) | ~ no_zero_divisors(v10) | ~ mult_zero(v10) | ~ power(v10) | ti(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ number_semiring(v10) | number_number_of(v10, pls) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ linord219039673up_add(v10) | ti(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ semiring_0(v10) | ~ power(v10) | ti(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (zero_zero(v10) = v11) | ~ semiring_0(v10) | ~ power(v10) | ? [v12] : (one_one(v10) = v12 & ! [v13] : ! [v14] : (v14 = v12 | ~ (power_power(v10, v11, v8) = v14) | ~ (number_number_of(nat, v13) = v8)) & ! [v13] : ( ~ (number_number_of(nat, v13) = v8) | power_power(v10, v11, v8) = v12))) & ! [v10] : ! [v11] : ( ~ (plus_plus(int, v11, v10) = pls) | ~ (plus_plus(int, v0, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (plus_plus(int, v10, v10) = v11) | bit0(v10) = v11) & ! [v10] : ! [v11] : ( ~ (plus_plus(int, v10, v0) = v11) | ord_less(int, v10, v11)) & ! [v10] : ! [v11] : ( ~ (one_one(v10) = v11) | ~ number_ring(v10) | number_number_of(v10, v3) = v11) & ! [v10] : ! [v11] : ( ~ (one_one(v10) = v11) | ~ semiring_1(v10) | power_power(v10, v11, v5) = v11) & ! [v10] : ! [v11] : ( ~ (one_one(v10) = v11) | ~ semiring_0(v10) | ~ power(v10) | ti(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (one_one(v10) = v11) | ~ semiring_0(v10) | ~ power(v10) | ? [v12] : (zero_zero(v10) = v12 & ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | v14 = v8 | ~ (power_power(v10, v12, v14) = v15) | ~ (number_number_of(nat, v13) = v14)) & ! [v13] : ! [v14] : (v14 = v11 | ~ (power_power(v10, v12, v8) = v14) | ~ (number_number_of(nat, v13) = v8)) & ! [v13] : ! [v14] : (v14 = v8 | ~ (number_number_of(nat, v13) = v14) | power_power(v10, v12, v14) = v12) & ! [v13] : ( ~ (number_number_of(nat, v13) = v8) | power_power(v10, v12, v8) = v11))) & ! [v10] : ! [v11] : ( ~ (ti(int, v10) = v11) | ? [v12] : (bit1(v11) = v12 & bit1(v10) = v12)) & ! [v10] : ! [v11] : ( ~ (ti(int, v10) = v11) | ? [v12] : (bit0(v11) = v12 & bit0(v10) = v12)) & ! [v10] : (v10 = v8 | ~ (semiring_1_of_nat(int, v10) = pls)) & ! [v10] : (v10 = pls | ~ (bit0(v10) = pls)) & ! [v10] : ~ (bit1(v10) = pls) & ? [v10] : ? [v11] : (v11 = v10 | ord_less(int, v11, v10) | ord_less(int, v10, v11))) % 11.71/3.32 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields: % 11.71/3.32 | (1) ~ (all_0_9_9 = pls) & power_power(int, all_0_7_7, all_0_4_4) = pls & semiring_1_of_nat(int, all_0_0_0) = all_0_9_9 & semiring_1_of_nat(int, all_0_1_1) = pls & semiring_1_of_nat(int, n) = all_0_8_8 & number_number_of(nat, all_0_3_3) = all_0_2_2 & number_number_of(nat, all_0_5_5) = all_0_4_4 & number_number_of(nat, all_0_6_6) = all_0_0_0 & number_number_of(nat, pls) = all_0_1_1 & number_number_of(int, all_0_6_6) = all_0_9_9 & number_number_of(int, pls) = pls & bit1(pls) = all_0_6_6 & bit0(all_0_5_5) = all_0_3_3 & bit0(all_0_6_6) = all_0_5_5 & bit0(pls) = pls & zero_zero(nat) = all_0_1_1 & zero_zero(int) = pls & plus_plus(nat, all_0_0_0, all_0_0_0) = all_0_4_4 & plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7 & one_one(nat) = all_0_0_0 & one_one(int) = all_0_9_9 & ti(nat, n) = n & ti(int, t) = t & ti(int, pls) = pls & ring_char_0(int) & number_ring(int) & ring_11004092258visors(int) & semiring_1(nat) & semiring_1(int) & ord_less(nat, all_0_1_1, n) & ord_less(int, all_0_9_9, t) & ord_less(int, pls, all_0_7_7) & ord_less(int, pls, all_0_9_9) & linordered_idom(int) & number(nat) & number(int) & zero_neq_one(nat) & zero_neq_one(int) & no_zero_divisors(nat) & no_zero_divisors(int) & mult_zero(nat) & mult_zero(int) & number_semiring(nat) & number_semiring(int) & linord219039673up_add(int) & semiring_0(nat) & semiring_0(int) & power(nat) & power(int) & ~ ord_less(int, pls, pls) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v2) = v5) | ~ (number_number_of(v0, v1) = v4) | ~ (plus_plus(v0, v5, v3) = v6) | ~ (plus_plus(v0, v4, v6) = v7) | ~ number_ring(v0) | ? [v8] : ? [v9] : (number_number_of(v0, v8) = v9 & plus_plus(v0, v9, v3) = v7 & plus_plus(int, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_idom(v0) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ ord_less(v0, v1, v6) | ~ linordered_idom(v0) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_idom(v0) | ord_less(v0, v1, v6) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (semiring_1_of_nat(int, v1) = v4) | ~ (semiring_1_of_nat(int, v0) = v3) | ~ (plus_plus(int, v4, v2) = v5) | ~ (plus_plus(int, v3, v5) = v6) | ? [v7] : ? [v8] : (semiring_1_of_nat(int, v7) = v8 & plus_plus(nat, v0, v1) = v7 & plus_plus(int, v8, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v4) = v5) | ~ (plus_plus(v0, v5, v3) = v6) | ~ (plus_plus(int, v1, v2) = v4) | ~ number_ring(v0) | ? [v7] : ? [v8] : ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & plus_plus(v0, v8, v3) = v9 & plus_plus(v0, v7, v9) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | v4 = all_0_1_1 | ~ (power_power(v0, v2, v4) = v5) | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v6] : ( ~ (v6 = v1) & ti(v0, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v5) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v6] : ( ~ (v6 = v1) & power_power(v0, v2, v4) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v1) | ~ linordered_idom(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (semiring_1_of_nat(int, v3) = v4) | ~ (plus_plus(nat, v0, v1) = v3) | ~ (plus_plus(int, v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : (semiring_1_of_nat(int, v1) = v7 & semiring_1_of_nat(int, v0) = v6 & plus_plus(int, v7, v2) = v8 & plus_plus(int, v6, v8) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ (plus_plus(v0, v3, v4) = v5) | ~ number_ring(v0) | ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring_0(v2) | ~ power(v2)) & ! [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) | ~ ord_less(int, v1, pls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ number_semiring(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linord219039673up_add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | v3 = all_0_1_1 | ~ (power_power(v0, v1, v3) = v4) | ~ (number_number_of(nat, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_1_1 | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | power_power(v0, v2, v4) = v1) & ! [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 | ~ (plus_plus(v4, v3, v2) = v1) | ~ (plus_plus(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring_0(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v0, v2, v4) = v1) | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ti(v0, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (semiring_1_of_nat(int, v1) = v3) | ~ (semiring_1_of_nat(int, v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (semiring_1_of_nat(int, v5) = v4 & plus_plus(nat, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, all_0_6_6) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v5, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v1, v2) = v3) | ~ number_ring(v0) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & plus_plus(v0, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, all_0_6_6, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v1, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less(v0, v3, v4) | ~ linordered_idom(v0) | ord_less(int, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less(int, v1, v2) | ~ linordered_idom(v0) | ord_less(v0, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (plus_plus(v0, v3, v1) = v4) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, v2, all_0_6_6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (plus_plus(v0, v1, v3) = v4) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, all_0_6_6, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v4) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v5] : ( ~ (v5 = v1) & power_power(v0, v2, all_0_1_1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ord_less(int, v1, pls) | ord_less(int, v0, pls) | ? [v5] : (number_number_of(nat, v5) = v4 & plus_plus(int, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (number_number_of(int, v5) = v4 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit0(v5) = v4 & plus_plus(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = 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, v2, v0) = v4) | ~ (plus_plus(int, v1, v0) = v3) | ~ ord_less(int, v1, v2) | ord_less(int, v3, 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 | ~ (semiring_1_of_nat(v1, v0) = v2) | ~ (ti(v1, v2) = v3) | ~ number_semiring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_number_of(v1, v0) = v2) | ~ (ti(v1, v2) = v3) | ~ number(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ~ ring_char_0(v0) | ~ number_ring(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (ti(v0, v2) = v3) | ~ (ti(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ring_11004092258visors(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ linord219039673up_add(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ ring_11004092258visors(v0) | ? [v4] : ( ~ (v4 = v1) & power_power(v0, v2, all_0_4_4) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ linordered_idom(v0) | ? [v4] : (power_power(v0, v2, all_0_4_4) = v4 & ord_less(v0, v1, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ linord219039673up_add(v0) | ? [v4] : ( ~ (v4 = v1) & plus_plus(v0, v2, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_1_1 | ~ (number_number_of(nat, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | power_power(v0, v1, v3) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ~ ring_char_0(v0) | ~ number_ring(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (semiring_1_of_nat(v3, v2) = v1) | ~ (semiring_1_of_nat(v3, v2) = v0)) & ! [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) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_1_1) = v1) | ~ (number_number_of(nat, v3) = all_0_1_1) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ti(v0, v2) = v1 | ord_less(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(int, v2, v1) = v3) | ~ (semiring_1_of_nat(int, v0) = v2) | ? [v4] : (power_power(nat, v0, v1) = v4 & semiring_1_of_nat(int, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (semiring_1_of_nat(v1, v2) = v3) | ~ (ti(nat, v0) = v2) | ~ number_semiring(v1) | semiring_1_of_nat(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (semiring_1_of_nat(int, v1) = v2) | ~ (number_number_of(v0, v2) = v3) | ~ number_semiring(v0) | semiring_1_of_nat(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v1, v2) = v3) | ~ (ti(int, v0) = v2) | ~ number(v1) | number_number_of(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(int, v2, pls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ord_less(int, pls, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, v2, pls) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, pls, v2) | ~ linordered_idom(v0) | ord_less(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(int, v2, all_0_6_6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ord_less(int, all_0_6_6, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, v2, all_0_6_6) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, all_0_6_6, v2) | ~ linordered_idom(v0) | ord_less(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (plus_plus(v0, v2, v1) = v3) | ~ number_ring(v0) | ti(v0, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (plus_plus(v0, v1, v2) = v3) | ~ number_ring(v0) | ti(v0, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (ti(v0, v2) = v3) | ~ number_ring(v0) | plus_plus(v0, v2, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (ti(v0, v2) = v3) | ~ number_ring(v0) | plus_plus(v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ ord_less(v0, v2, v1) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v4] : ? [v5] : ? [v6] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v6 & ~ ord_less(v0, v1, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v4] : ? [v5] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v3) | ~ linordered_idom(v2) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v1) | ~ linordered_idom(v2) | ord_less(v2, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v3, v1) | ~ linordered_idom(v2) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v0, v1) | ~ linordered_idom(v2) | ord_less(v2, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (zero_zero(v0) = v1) | ~ semiring_1(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (one_one(v0) = v1) | ~ semiring_1(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (semiring_1_of_nat(int, v0) = v2) | ~ (semiring_1_of_nat(int, v0) = v1)) & ! [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 = v1 | ~ (undefined(v0) = v1) | ~ (ti(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ linord219039673up_add(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_0(v0) | ~ power(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (one_one(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_0(v0) | ~ power(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (semiring_1_of_nat(int, v1) = v2) | ~ (semiring_1_of_nat(int, v0) = v2)) & ! [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 | ~ (undefined(v2) = v1) | ~ (undefined(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (zero_zero(v2) = v1) | ~ (zero_zero(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (plus_plus(int, v1, all_0_9_9) = v2) | ~ ord_less(int, v0, v2) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_one(v2) = v1) | ~ (one_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v2, all_0_4_4) = v1) | ~ (zero_zero(v0) = v1) | ~ ring_11004092258visors(v0) | ti(v0, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) | ? [v3] : ? [v4] : (power_power(int, v4, v1) = v3 & semiring_1_of_nat(int, v2) = v3 & semiring_1_of_nat(int, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) | ? [v3] : ? [v4] : (power_power(int, v3, v1) = v4 & semiring_1_of_nat(int, v2) = v4 & semiring_1_of_nat(int, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) | ~ number_semiring(v1) | ti(v1, v2) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) | ~ number_semiring(v1) | ? [v3] : (semiring_1_of_nat(v1, v3) = v2 & ti(nat, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v0, v1) = v2) | ~ number_semiring(v0) | ? [v3] : (semiring_1_of_nat(int, v1) = v3 & number_number_of(v0, v3) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ti(v1, v2) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ? [v3] : (number_number_of(v1, v3) = v2 & ti(int, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (bit1(v1) = v2) | ~ (bit0(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v1) | ~ linord219039673up_add(v0) | ti(v0, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ ring_11004092258visors(v0) | power_power(v0, v2, all_0_4_4) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v3] : (power_power(v0, v2, all_0_4_4) = v3 & ~ ord_less(v0, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ linord219039673up_add(v0) | plus_plus(v0, v2, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, all_0_5_5) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) | ~ (one_one(v0) = v1) | ~ number_semiring(v0) | number_number_of(v0, all_0_5_5) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(nat, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (semiring_1_of_nat(int, v2) = v5 & semiring_1_of_nat(int, v1) = v4 & semiring_1_of_nat(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | ~ ord_less(int, v2, pls) | ord_less(int, v0, pls)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v2, pls)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | bit1(v0) = 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) | ord_less(int, v1, pls) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (number_number_of(nat, v2) = v6 & number_number_of(nat, v1) = v3 & number_number_of(nat, v0) = v4 & plus_plus(nat, v3, v4) = v5 & (v6 = v5 | ord_less(int, v0, pls)) & (v5 = v3 | ~ ord_less(int, v0, pls)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, all_0_9_9) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v0, v2)) & ! [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] : (number_number_of(int, v2) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit1(v2) = v5 & bit1(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit1(v2) = v5 & bit1(v0) = v3 & bit0(v1) = v4 & plus_plus(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit0(v2) = v5 & bit0(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v1) = v2) | ~ ord_less(nat, v0, v2) | ord_less(nat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v1) = v2) | ~ ord_less(nat, v0, v1) | ord_less(nat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v0) = v2) | ~ ord_less(nat, v2, v1) | ord_less(nat, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v0) = v2) | ~ ord_less(nat, v0, v1) | ord_less(nat, v2, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (plus_plus(int, v0, pls) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (plus_plus(int, pls, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_2_2) = v1) | ? [v2] : (power_power(int, v2, all_0_4_4) = v1 & power_power(int, v0, all_0_4_4) = v2)) & ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_4_4) = v1) | ? [v2] : (power_power(int, v1, all_0_4_4) = v2 & power_power(int, v0, all_0_2_2) = v2)) & ! [v0] : ! [v1] : ( ~ (semiring_1_of_nat(int, v0) = v1) | ~ ord_less(int, v1, pls)) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) | ~ number_ring(v0) | ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) | ~ number_semiring(v0) | ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_6_6) = v1) | ~ number_ring(v0) | one_one(v0) = v1) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, pls) = v1) | ~ number_ring(v0) | zero_zero(v0) = v1) & ! [v0] : ! [v1] : ( ~ (number_number_of(v0, pls) = v1) | ~ number_semiring(v0) | zero_zero(v0) = v1) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (plus_plus(int, v2, v0) = v1 & plus_plus(int, all_0_9_9, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, pls, v1) | ord_less(int, pls, v0)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, pls, v0) | ord_less(int, pls, v1)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | plus_plus(int, v0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, pls) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ number_semiring(v0) | number_number_of(v0, pls) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ linord219039673up_add(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ? [v2] : (one_one(v0) = v2 & ! [v3] : ! [v4] : (v4 = v2 | ~ (power_power(v0, v1, all_0_1_1) = v4) | ~ (number_number_of(nat, v3) = all_0_1_1)) & ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v1, all_0_1_1) = v2))) & ! [v0] : ! [v1] : ( ~ (plus_plus(int, v1, v0) = pls) | ~ (plus_plus(int, all_0_9_9, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (plus_plus(int, v0, v0) = v1) | bit0(v0) = v1) & ! [v0] : ! [v1] : ( ~ (plus_plus(int, v0, all_0_9_9) = v1) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, all_0_6_6) = v1) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ? [v2] : (zero_zero(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | v4 = all_0_1_1 | ~ (power_power(v0, v2, v4) = v5) | ~ (number_number_of(nat, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v1 | ~ (power_power(v0, v2, all_0_1_1) = v4) | ~ (number_number_of(nat, v3) = all_0_1_1)) & ! [v3] : ! [v4] : (v4 = all_0_1_1 | ~ (number_number_of(nat, v3) = v4) | power_power(v0, v2, v4) = v2) & ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v2, all_0_1_1) = v1))) & ! [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] : (v0 = all_0_1_1 | ~ (semiring_1_of_nat(int, v0) = pls)) & ! [v0] : (v0 = pls | ~ (bit0(v0) = pls)) & ! [v0] : ~ (bit1(v0) = pls) & ? [v0] : ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1)) % 11.71/3.36 | % 11.71/3.36 | Applying alpha-rule on (1) yields: % 11.71/3.36 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) | ? [v3] : ? [v4] : (power_power(int, v4, v1) = v3 & semiring_1_of_nat(int, v2) = v3 & semiring_1_of_nat(int, v0) = v4)) % 11.71/3.36 | (3) number_number_of(nat, all_0_6_6) = all_0_0_0 % 11.71/3.36 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) % 11.71/3.36 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ti(v0, v2) = v1 | ord_less(v0, v1, v3)) % 11.71/3.36 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (semiring_1_of_nat(v3, v2) = v1) | ~ (semiring_1_of_nat(v3, v2) = v0)) % 11.71/3.36 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ ring_11004092258visors(v0) | power_power(v0, v2, all_0_4_4) = v1) % 11.71/3.36 | (8) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1) % 11.71/3.36 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_1_1 | ~ (number_number_of(nat, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | power_power(v0, v1, v3) = v1) % 11.71/3.36 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v3) | ~ linordered_idom(v2) | ord_less(v2, v0, v1)) % 11.71/3.36 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (plus_plus(int, v1, all_0_9_9) = v2) | ~ ord_less(int, v0, v2) | ord_less(int, v0, v1)) % 11.71/3.36 | (12) no_zero_divisors(int) % 11.71/3.36 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ord_less(int, all_0_6_6, v2)) % 11.71/3.36 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(v0, v2, v1)) % 11.71/3.36 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v1) | ~ linordered_idom(v2) | ord_less(v2, v0, v3)) % 11.71/3.36 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) | ~ number_semiring(v1) | ? [v3] : (semiring_1_of_nat(v1, v3) = v2 & ti(nat, v0) = v3)) % 11.71/3.36 | (17) ? [v0] : ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1)) % 11.71/3.36 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v0) = v2) | ~ ord_less(nat, v0, v1) | ord_less(nat, v2, v1)) % 11.71/3.36 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v0) = v2) | ~ ord_less(nat, v2, v1) | ord_less(nat, v0, v1)) % 11.71/3.36 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) % 11.71/3.36 | (21) ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_2_2) = v1) | ? [v2] : (power_power(int, v2, all_0_4_4) = v1 & power_power(int, v0, all_0_4_4) = v2)) % 11.71/3.36 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v2) = v1) | ~ (bit0(v2) = v0)) % 11.71/3.36 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) % 11.71/3.36 | (24) one_one(nat) = all_0_0_0 % 11.71/3.36 | (25) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (undefined(v0) = v1) | ~ (ti(v0, v1) = v2)) % 11.71/3.36 | (26) ti(int, t) = t % 11.71/3.36 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v1) = v2) | ~ (bit0(v0) = v2)) % 11.71/3.36 | (28) plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7 % 11.71/3.36 | (29) ! [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)) % 11.71/3.36 | (30) ! [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)) % 11.71/3.36 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) % 11.71/3.36 | (32) one_one(int) = all_0_9_9 % 11.71/3.36 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (plus_plus(v4, v3, v2) = v1) | ~ (plus_plus(v4, v3, v2) = v0)) % 11.71/3.36 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) % 11.71/3.36 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) % 11.71/3.36 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ord_less(int, pls, v2)) % 11.71/3.36 | (37) semiring_1_of_nat(int, all_0_0_0) = all_0_9_9 % 11.71/3.36 | (38) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ? [v2] : (zero_zero(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | v4 = all_0_1_1 | ~ (power_power(v0, v2, v4) = v5) | ~ (number_number_of(nat, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v1 | ~ (power_power(v0, v2, all_0_1_1) = v4) | ~ (number_number_of(nat, v3) = all_0_1_1)) & ! [v3] : ! [v4] : (v4 = all_0_1_1 | ~ (number_number_of(nat, v3) = v4) | power_power(v0, v2, v4) = v2) & ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v2, all_0_1_1) = v1))) % 11.71/3.36 | (39) semiring_1(nat) % 11.71/3.36 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v3) | ~ ring_char_0(v0) | ~ number_ring(v0)) % 11.71/3.37 | (41) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ? [v2] : (one_one(v0) = v2 & ! [v3] : ! [v4] : (v4 = v2 | ~ (power_power(v0, v1, all_0_1_1) = v4) | ~ (number_number_of(nat, v3) = all_0_1_1)) & ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v1, all_0_1_1) = v2))) % 11.71/3.37 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ord_less(int, v1, pls) | ord_less(int, v0, pls) | ? [v5] : (number_number_of(nat, v5) = v4 & plus_plus(int, v1, v0) = v5)) % 12.21/3.37 | (43) bit1(pls) = all_0_6_6 % 12.21/3.37 | (44) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ti(v0, v1) = v1) % 12.21/3.37 | (45) ! [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)) % 12.21/3.37 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4) % 12.21/3.37 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v1) | ~ linordered_idom(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) % 12.21/3.37 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(int, v2, v1) = v3) | ~ (semiring_1_of_nat(int, v0) = v2) | ? [v4] : (power_power(nat, v0, v1) = v4 & semiring_1_of_nat(int, v4) = v3)) % 12.21/3.37 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v0, v1) = v2) | ~ number_semiring(v0) | ? [v3] : (semiring_1_of_nat(int, v1) = v3 & number_number_of(v0, v3) = v2)) % 12.21/3.37 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) % 12.21/3.37 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v2) = v1) | ~ (bit1(v2) = v0)) % 12.21/3.37 | (52) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) % 12.21/3.37 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) % 12.21/3.37 | (54) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0) | ti(v0, v1) = v1) % 12.21/3.37 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(int, v2, all_0_6_6)) % 12.21/3.37 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(nat, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (semiring_1_of_nat(int, v2) = v5 & semiring_1_of_nat(int, v1) = v4 & semiring_1_of_nat(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) % 12.21/3.37 | (57) zero_neq_one(int) % 12.21/3.37 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (number_number_of(int, v5) = v4 & plus_plus(int, v0, v1) = v5)) % 12.21/3.37 | (59) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) % 12.21/3.37 | (60) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) % 12.21/3.37 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v2, v0) = v4) | ~ (plus_plus(int, v1, v0) = v3) | ~ ord_less(int, v1, v2) | ord_less(int, v3, v4)) % 12.21/3.37 | (62) zero_zero(int) = pls % 12.21/3.37 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (semiring_1_of_nat(int, v3) = v4) | ~ (plus_plus(nat, v0, v1) = v3) | ~ (plus_plus(int, v4, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : (semiring_1_of_nat(int, v1) = v7 & semiring_1_of_nat(int, v0) = v6 & plus_plus(int, v7, v2) = v8 & plus_plus(int, v6, v8) = v5)) % 12.21/3.37 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v1, v2) = v3) | ~ (ti(int, v0) = v2) | ~ number(v1) | number_number_of(v1, v0) = v3) % 12.21/3.37 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) | ? [v3] : ? [v4] : (power_power(int, v3, v1) = v4 & semiring_1_of_nat(int, v2) = v4 & semiring_1_of_nat(int, v0) = v3)) % 12.21/3.37 | (66) ! [v0] : (v0 = all_0_1_1 | ~ (semiring_1_of_nat(int, v0) = pls)) % 12.21/3.37 | (67) semiring_1_of_nat(int, n) = all_0_8_8 % 12.21/3.37 | (68) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (one_one(v0) = v1) | ~ semiring_1(v0)) % 12.21/3.37 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v0, v1) | ~ linordered_idom(v2) | ord_less(v2, v3, v1)) % 12.21/3.37 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (plus_plus(v0, v1, v3) = v4) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, all_0_6_6, v2) = v5)) % 12.21/3.37 | (71) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0)) % 12.21/3.37 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v4) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v5] : ( ~ (v5 = v1) & power_power(v0, v2, all_0_1_1) = v5)) % 12.21/3.37 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_1_1 | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | power_power(v0, v2, v4) = v1) % 12.21/3.37 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, pls, v2) | ~ linordered_idom(v0) | ord_less(v0, v1, v3)) % 12.21/3.37 | (75) semiring_0(int) % 12.21/3.37 | (76) semiring_1(int) % 12.21/3.37 | (77) ! [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) | ~ ord_less(int, v1, pls)) % 12.21/3.37 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_idom(v0) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1)))) % 12.21/3.37 | (79) number_number_of(nat, all_0_3_3) = all_0_2_2 % 12.21/3.37 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (semiring_1_of_nat(int, v1) = v2) | ~ (number_number_of(v0, v2) = v3) | ~ number_semiring(v0) | semiring_1_of_nat(v0, v1) = v3) % 12.21/3.37 | (81) linordered_idom(int) % 12.21/3.37 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (plus_plus(v0, v3, v1) = v4) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, v2, all_0_6_6) = v5)) % 12.21/3.37 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (number_number_of(int, v2) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) % 12.21/3.37 | (84) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ number_semiring(v0) | number_number_of(v0, pls) = v1) % 12.21/3.37 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ti(v2, v3) = v3) % 12.21/3.37 | (86) power(int) % 12.21/3.37 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, all_0_6_6, v2) | ~ linordered_idom(v0) | ord_less(v0, v1, v3)) % 12.21/3.37 | (88) power(nat) % 12.21/3.37 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) % 12.21/3.37 | (90) number_semiring(int) % 12.21/3.37 | (91) ! [v0] : ! [v1] : ( ~ (plus_plus(int, v0, all_0_9_9) = v1) | ord_less(int, v0, v1)) % 12.21/3.37 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) | ~ number_semiring(v1) | ti(v1, v2) = v2) % 12.21/3.37 | (93) semiring_1_of_nat(int, all_0_1_1) = pls % 12.21/3.37 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (semiring_1_of_nat(v1, v0) = v2) | ~ (ti(v1, v2) = v3) | ~ number_semiring(v1)) % 12.21/3.37 | (95) ! [v0] : ~ (bit1(v0) = pls) % 12.21/3.37 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | v3 = all_0_1_1 | ~ (power_power(v0, v1, v3) = v4) | ~ (number_number_of(nat, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ semiring_0(v0) | ~ power(v0)) % 12.21/3.37 | (97) ! [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)) % 12.21/3.37 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v2, all_0_4_4) = v1) | ~ (zero_zero(v0) = v1) | ~ ring_11004092258visors(v0) | ti(v0, v2) = v1) % 12.21/3.37 | (99) number_ring(int) % 12.21/3.38 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ ring_11004092258visors(v0) | ? [v4] : ( ~ (v4 = v1) & power_power(v0, v2, all_0_4_4) = v4)) % 12.21/3.38 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit0(v2) = v5 & bit0(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) % 12.21/3.38 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) % 12.21/3.38 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) % 12.21/3.38 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) % 12.21/3.38 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) % 12.21/3.38 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_one(v2) = v1) | ~ (one_one(v2) = v0)) % 12.21/3.38 | (107) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2)) % 12.21/3.38 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ linordered_idom(v0) | ? [v4] : (power_power(v0, v2, all_0_4_4) = v4 & ord_less(v0, v1, v4))) % 12.21/3.38 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ number_semiring(v2)) % 12.21/3.38 | (110) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, pls) = v1) % 12.21/3.38 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v3) | ~ linord219039673up_add(v0) | ? [v4] : ( ~ (v4 = v1) & plus_plus(v0, v2, v2) = v4)) % 12.21/3.38 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) % 12.21/3.38 | (113) ! [v0] : (v0 = pls | ~ (bit0(v0) = pls)) % 12.21/3.38 | (114) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) % 12.21/3.38 | (115) number_number_of(int, pls) = pls % 12.21/3.38 | (116) ! [v0] : ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1) % 12.21/3.38 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (number_number_of(v3, v2) = v1) | ~ (number_number_of(v3, v2) = v0)) % 12.21/3.38 | (118) semiring_0(nat) % 12.21/3.38 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (zero_zero(v2) = v1) | ~ (zero_zero(v2) = v0)) % 12.21/3.38 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v1, v2) = v3) | ~ number_ring(v0) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & plus_plus(v0, v5, v6) = v4)) % 12.21/3.38 | (121) number_number_of(int, all_0_6_6) = all_0_9_9 % 12.21/3.38 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (ti(v0, v2) = v3) | ~ number_ring(v0) | plus_plus(v0, v1, v2) = v3) % 12.21/3.38 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ti(v2, v3) = v3) % 12.21/3.38 | (124) ord_less(int, pls, all_0_9_9) % 12.21/3.38 | (125) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) | ~ number_ring(v0) | ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) % 12.21/3.38 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_number_of(v1, v0) = v2) | ~ (ti(v1, v2) = v3) | ~ number(v1)) % 12.21/3.38 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v5) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v6] : ( ~ (v6 = v1) & power_power(v0, v2, v4) = v6)) % 12.21/3.38 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ ord_less(v0, v2, v1) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) % 12.21/3.38 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (semiring_1_of_nat(v1, v2) = v3) | ~ (ti(nat, v0) = v2) | ~ number_semiring(v1) | semiring_1_of_nat(v1, v0) = v3) % 12.21/3.38 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v4] : ? [v5] : ? [v6] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v6 & ~ ord_less(v0, v1, v6))) % 12.21/3.38 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less(int, v1, v2) | ~ linordered_idom(v0) | ord_less(v0, v3, v4)) % 12.21/3.38 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (semiring_1_of_nat(int, v1) = v3) | ~ (semiring_1_of_nat(int, v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (semiring_1_of_nat(int, v5) = v4 & plus_plus(nat, v0, v1) = v5)) % 12.21/3.38 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linord219039673up_add(v2)) % 12.21/3.38 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0) | ord_less(int, v2, pls)) % 12.21/3.38 | (135) bit0(pls) = pls % 12.21/3.38 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ti(v2, v3) = v3) % 12.21/3.38 | (137) number_number_of(nat, pls) = all_0_1_1 % 12.21/3.38 | (138) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (zero_zero(v0) = v1) | ~ semiring_1(v0)) % 12.21/3.38 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_number_of(v0, v1) = v3) | ~ (number_number_of(v0, v1) = v2) | ~ ring_char_0(v0) | ~ number_ring(v0)) % 12.21/3.38 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ord_less(v0, v1, v3) | ~ linordered_idom(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) % 12.21/3.38 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (semiring_1_of_nat(int, v1) = v2) | ~ (semiring_1_of_nat(int, v0) = v2)) % 12.21/3.38 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v3, v1) | ~ linordered_idom(v2) | ord_less(v2, v0, v1)) % 12.21/3.38 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | bit1(v0) = v2) % 12.21/3.38 | (144) ring_char_0(int) % 12.21/3.38 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (number_number_of(nat, v1) = v2) | ~ (number_number_of(nat, v0) = v3) | ~ (plus_plus(nat, v2, v3) = v4) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) % 12.21/3.38 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (power_power(v4, v3, v2) = v1) | ~ (power_power(v4, v3, v2) = v0)) % 12.21/3.38 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (plus_plus(v0, v1, v2) = v3) | ~ number_ring(v0) | ti(v0, v2) = v3) % 12.21/3.38 | (148) ! [v0] : ! [v1] : ( ~ (semiring_1_of_nat(int, v0) = v1) | ~ ord_less(int, v1, pls)) % 12.21/3.38 | (149) ti(nat, n) = n % 12.21/3.38 | (150) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2)) % 12.21/3.38 | (151) ~ (all_0_9_9 = pls) % 12.21/3.38 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) % 12.21/3.38 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring_0(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) % 12.21/3.38 | (154) ti(int, pls) = pls % 12.21/3.38 | (155) number_number_of(nat, all_0_5_5) = all_0_4_4 % 12.21/3.38 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_0(v2) | ~ power(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) % 12.21/3.38 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) % 12.21/3.38 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) % 12.21/3.38 | (159) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) % 12.21/3.38 | (160) ! [v0] : ! [v1] : (v1 = v0 | ~ (plus_plus(int, pls, v0) = v1)) % 12.21/3.38 | (161) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, all_0_6_6) = v1) % 12.21/3.38 | (162) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, all_0_9_9) = v2) | ~ ord_less(int, v0, v1) | ord_less(int, v0, v2)) % 12.21/3.38 | (163) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ linord219039673up_add(v0)) % 12.21/3.38 | (164) mult_zero(int) % 12.21/3.38 | (165) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2) % 12.21/3.38 | (166) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2) % 12.21/3.38 | (167) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | number_number_of(v0, all_0_5_5) = v2) % 12.21/3.38 | (168) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, pls) = v1) | ~ number_semiring(v0) | zero_zero(v0) = v1) % 12.21/3.39 | (169) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v2, pls)) % 12.21/3.39 | (170) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ~ (plus_plus(int, all_0_9_9, v0) = v1) | ~ ord_less(int, v2, pls) | ord_less(int, v0, pls)) % 12.21/3.39 | (171) ord_less(int, pls, all_0_7_7) % 12.21/3.39 | (172) number_semiring(nat) % 12.21/3.39 | (173) ! [v0] : ! [v1] : ( ~ (plus_plus(int, v1, v0) = pls) | ~ (plus_plus(int, all_0_9_9, v0) = v1)) % 12.21/3.39 | (174) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_0(v0) | ~ power(v0)) % 12.21/3.39 | (175) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ti(v0, v1) = v1) % 12.21/3.39 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4) % 12.21/3.39 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ ord_less(v0, v1, v6) | ~ linordered_idom(v0) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1)))) % 12.21/3.39 | (178) ! [v0] : ! [v1] : ( ~ (power_power(int, v0, all_0_4_4) = v1) | ? [v2] : (power_power(int, v1, all_0_4_4) = v2 & power_power(int, v0, all_0_2_2) = v2)) % 12.21/3.39 | (179) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) % 12.21/3.39 | (180) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, pls, v0) | ord_less(int, pls, v1)) % 12.21/3.39 | (181) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less(int, pls, v1) | ord_less(int, pls, v0)) % 12.21/3.39 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (bit1(v1) = v2) | ~ (bit0(v0) = v2)) % 12.21/3.39 | (183) zero_zero(nat) = all_0_1_1 % 12.21/3.39 | (184) ! [v0] : ! [v1] : ( ~ (plus_plus(int, v0, v0) = v1) | bit0(v0) = v1) % 12.21/3.39 | (185) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | plus_plus(int, v0, v0) = v1) % 12.21/3.39 | (186) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (undefined(v2) = v1) | ~ (undefined(v2) = v0)) % 12.21/3.39 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) % 12.21/3.39 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ number_semiring(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) % 12.21/3.39 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (ti(v0, v2) = v3) | ~ (ti(v0, v1) = v2)) % 12.21/3.39 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) % 12.21/3.39 | (191) number(nat) % 12.21/3.39 | (192) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit1(v2) = v5 & bit1(v0) = v3 & bit0(v1) = v4 & plus_plus(int, v3, v4) = v5)) % 12.21/3.39 | (193) ! [v0] : ! [v1] : (v1 = v0 | ~ (plus_plus(int, v0, pls) = v1)) % 12.21/3.39 | (194) mult_zero(nat) % 12.21/3.39 | (195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, all_0_6_6) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v5, v1) = v4)) % 12.21/3.39 | (196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | power_power(v2, v0, v1) = v4) % 12.21/3.39 | (197) ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v1) | ~ linord219039673up_add(v0) | ti(v0, v2) = v1) % 12.21/3.39 | (198) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ord_less(int, v1, pls) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (number_number_of(nat, v2) = v6 & number_number_of(nat, v1) = v3 & number_number_of(nat, v0) = v4 & plus_plus(nat, v3, v4) = v5 & (v6 = v5 | ord_less(int, v0, pls)) & (v5 = v3 | ~ ord_less(int, v0, pls)))) % 12.21/3.39 | (199) ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ linord219039673up_add(v0) | plus_plus(v0, v2, v2) = v1) % 12.21/3.39 | (200) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) | ~ (power_power(v0, v2, all_0_4_4) = v4) | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_idom(v0) | ord_less(v0, v1, v6) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) % 12.21/3.39 | (201) number(int) % 12.21/3.39 | (202) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) | ~ number_semiring(v0) | ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) % 12.21/3.39 | (203) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v4] : ? [v5] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v1)) % 12.21/3.39 | (204) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit0(v0) = v2) | ~ (bit0(v0) = v1)) % 12.21/3.39 | (205) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (plus_plus(int, v2, v0) = v1 & plus_plus(int, all_0_9_9, v0) = v2)) % 12.21/3.39 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v4) = v5) | ~ (plus_plus(v0, v5, v3) = v6) | ~ (plus_plus(int, v1, v2) = v4) | ~ number_ring(v0) | ? [v7] : ? [v8] : ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & plus_plus(v0, v8, v3) = v9 & plus_plus(v0, v7, v9) = v6)) % 12.21/3.39 | (207) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ring_11004092258visors(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) % 12.21/3.39 | (208) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit1(v0) = v2) | ~ (bit1(v0) = v1)) % 12.21/3.39 | (209) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v0, v2, v4) = v1) | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ti(v0, v2) = v1) % 12.21/3.39 | (210) power_power(int, all_0_7_7, all_0_4_4) = pls % 12.21/3.39 | (211) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linord219039673up_add(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) % 12.21/3.39 | (212) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (one_one(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_0(v0) | ~ power(v0)) % 12.21/3.39 | (213) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v1) = v2) | ~ (bit1(v0) = v2)) % 12.21/3.39 | (214) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) % 12.21/3.39 | (215) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) % 12.21/3.39 | (216) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) % 12.21/3.39 | (217) no_zero_divisors(nat) % 12.21/3.39 | (218) ~ ord_less(int, pls, pls) % 12.21/3.39 | (219) bit0(all_0_6_6) = all_0_5_5 % 12.21/3.39 | (220) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ linord219039673up_add(v0) | ti(v0, v1) = v1) % 12.21/3.39 | (221) linord219039673up_add(int) % 12.21/3.39 | (222) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (semiring_1_of_nat(int, v0) = v2) | ~ (semiring_1_of_nat(int, v0) = v1)) % 12.21/3.39 | (223) ord_less(int, all_0_9_9, t) % 12.21/3.39 | (224) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, all_0_6_6) = v1) | ~ number_ring(v0) | one_one(v0) = v1) % 12.21/3.39 | (225) ! [v0] : ! [v1] : ( ~ (number_number_of(v0, pls) = v1) | ~ number_ring(v0) | zero_zero(v0) = v1) % 12.21/3.39 | (226) ord_less(nat, all_0_1_1, n) % 12.21/3.39 | (227) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v2) = v5) | ~ (number_number_of(v0, v1) = v4) | ~ (plus_plus(v0, v5, v3) = v6) | ~ (plus_plus(v0, v4, v6) = v7) | ~ number_ring(v0) | ? [v8] : ? [v9] : (number_number_of(v0, v8) = v9 & plus_plus(v0, v9, v3) = v7 & plus_plus(int, v1, v2) = v8)) % 12.21/3.39 | (228) ! [v0] : ! [v1] : ! [v2] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v2)) % 12.21/3.39 | (229) ring_11004092258visors(int) % 12.21/3.39 | (230) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | v4 = all_0_1_1 | ~ (power_power(v0, v2, v4) = v5) | ~ (number_number_of(nat, v3) = v4) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0) | ? [v6] : ( ~ (v6 = v1) & ti(v0, v2) = v6)) % 12.21/3.39 | (231) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) % 12.21/3.39 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) % 12.21/3.39 | (233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (plus_plus(v0, v2, v1) = v3) | ~ number_ring(v0) | ti(v0, v2) = v3) % 12.21/3.39 | (234) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_1_1) = v1) | ~ (number_number_of(nat, v3) = all_0_1_1) | ~ (zero_zero(v0) = v1) | ~ zero_neq_one(v0) | ~ no_zero_divisors(v0) | ~ mult_zero(v0) | ~ power(v0)) % 12.21/3.39 | (235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, v2, pls) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) % 12.21/3.40 | (236) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (bit1(v2) = v5 & bit1(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) % 12.21/3.40 | (237) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2)) % 12.21/3.40 | (238) zero_neq_one(nat) % 12.21/3.40 | (239) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v1) = v2) | ~ ord_less(nat, v0, v1) | ord_less(nat, v0, v2)) % 12.21/3.40 | (240) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(nat, v1) = v2) | ~ ord_less(nat, v0, v2) | ord_less(nat, v0, v1)) % 12.21/3.40 | (241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, all_0_6_6, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v1, v5) = v4)) % 12.21/3.40 | (242) ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ linordered_idom(v0) | ? [v3] : (power_power(v0, v2, all_0_4_4) = v3 & ~ ord_less(v0, v1, v3))) % 12.21/3.40 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ (plus_plus(v0, v3, v4) = v5) | ~ number_ring(v0) | ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v1, v2) = v6)) % 12.21/3.40 | (244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (semiring_1_of_nat(int, v1) = v4) | ~ (semiring_1_of_nat(int, v0) = v3) | ~ (plus_plus(int, v4, v2) = v5) | ~ (plus_plus(int, v3, v5) = v6) | ? [v7] : ? [v8] : (semiring_1_of_nat(int, v7) = v8 & plus_plus(nat, v0, v1) = v7 & plus_plus(int, v8, v2) = v6)) % 12.21/3.40 | (245) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less(v0, v3, v4) | ~ linordered_idom(v0) | ord_less(int, v1, v2)) % 12.21/3.40 | (246) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ti(v3, v2) = v1) | ~ (ti(v3, v2) = v0)) % 12.21/3.40 | (247) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ? [v3] : (number_number_of(v1, v3) = v2 & ti(int, v0) = v3)) % 12.21/3.40 | (248) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2)) % 12.21/3.40 | (249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (zero_zero(v0) = v1) | ~ (plus_plus(v0, v2, v2) = v3) | ~ linord219039673up_add(v0) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) % 12.21/3.40 | (250) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ ord_less(v0, v3, v1) | ~ linordered_idom(v0)) % 12.21/3.40 | (251) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) | ~ (one_one(v0) = v1) | ~ number_semiring(v0) | number_number_of(v0, all_0_5_5) = v2) % 12.21/3.40 | (252) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring_0(v2) | ~ power(v2)) % 12.21/3.40 | (253) bit0(all_0_5_5) = all_0_3_3 % 12.21/3.40 | (254) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ti(v1, v2) = v2) % 12.21/3.40 | (255) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, pls) = v1) | ~ (ti(v0, v2) = v3) | ~ number_ring(v0) | plus_plus(v0, v2, v1) = v3) % 12.21/3.40 | (256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ (plus_plus(int, v2, v3) = v4) | ? [v5] : (bit0(v5) = v4 & plus_plus(int, v0, v1) = v5)) % 12.21/3.40 | (257) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less(int, v2, all_0_6_6) | ~ linordered_idom(v0) | ord_less(v0, v3, v1)) % 12.21/3.40 | (258) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linordered_idom(v0) | ? [v6] : ? [v7] : ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) % 12.21/3.40 | (259) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ zero_neq_one(v2) | ~ no_zero_divisors(v2) | ~ mult_zero(v2) | ~ power(v2) | ti(v2, v3) = v3) % 12.21/3.40 | (260) plus_plus(nat, all_0_0_0, all_0_0_0) = all_0_4_4 % 12.21/3.40 | (261) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (178) with pls, all_0_7_7 and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, yields: % 12.21/3.40 | (262) ? [v0] : (power_power(int, all_0_7_7, all_0_2_2) = v0 & power_power(int, pls, all_0_4_4) = v0) % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (52) with pls, int and discharging atoms zero_zero(int) = pls, semiring_1(int), yields: % 12.21/3.40 | (263) power_power(int, pls, all_0_4_4) = pls % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (130) with pls, pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields: % 12.21/3.40 | (264) ? [v0] : ? [v1] : ? [v2] : (power_power(int, pls, all_0_4_4) = v1 & power_power(int, pls, all_0_4_4) = v0 & plus_plus(int, v0, v1) = v2 & ~ ord_less(int, pls, v2)) % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (203) with pls, pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields: % 12.21/3.40 | (265) ? [v0] : ? [v1] : (power_power(int, pls, all_0_4_4) = v1 & power_power(int, pls, all_0_4_4) = v0 & plus_plus(int, v0, v1) = pls) % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (242) with pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields: % 12.21/3.40 | (266) ? [v0] : (power_power(int, pls, all_0_4_4) = v0 & ~ ord_less(int, pls, v0)) % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (123) with all_0_7_7, int, all_0_8_8, all_0_9_9 and discharging atoms plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7, linord219039673up_add(int), yields: % 12.21/3.40 | (267) ti(int, all_0_7_7) = all_0_7_7 % 12.21/3.40 | % 12.21/3.40 | Instantiating formula (209) with all_0_4_4, all_0_5_5, all_0_7_7, pls, int and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, number_number_of(nat, all_0_5_5) = all_0_4_4, zero_zero(int) = pls, zero_neq_one(int), no_zero_divisors(int), mult_zero(int), power(int), yields: % 12.38/3.40 | (268) ti(int, all_0_7_7) = pls % 12.38/3.40 | % 12.38/3.40 | Instantiating formula (156) with pls, int, all_0_4_4, all_0_7_7 and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, semiring_0(int), power(int), yields: % 12.38/3.40 | (269) ? [v0] : (power_power(int, v0, all_0_4_4) = pls & ti(int, all_0_7_7) = v0) % 12.38/3.40 | % 12.38/3.40 | Instantiating (266) with all_32_0_27 yields: % 12.38/3.40 | (270) power_power(int, pls, all_0_4_4) = all_32_0_27 & ~ ord_less(int, pls, all_32_0_27) % 12.38/3.40 | % 12.38/3.40 | Applying alpha-rule on (270) yields: % 12.38/3.40 | (271) power_power(int, pls, all_0_4_4) = all_32_0_27 % 12.38/3.40 | (272) ~ ord_less(int, pls, all_32_0_27) % 12.38/3.40 | % 12.38/3.40 | Instantiating (265) with all_34_0_28, all_34_1_29 yields: % 12.38/3.40 | (273) power_power(int, pls, all_0_4_4) = all_34_0_28 & power_power(int, pls, all_0_4_4) = all_34_1_29 & plus_plus(int, all_34_1_29, all_34_0_28) = pls % 12.38/3.40 | % 12.38/3.40 | Applying alpha-rule on (273) yields: % 12.38/3.40 | (274) power_power(int, pls, all_0_4_4) = all_34_0_28 % 12.38/3.40 | (275) power_power(int, pls, all_0_4_4) = all_34_1_29 % 12.38/3.40 | (276) plus_plus(int, all_34_1_29, all_34_0_28) = pls % 12.38/3.40 | % 12.38/3.40 | Instantiating (264) with all_36_0_30, all_36_1_31, all_36_2_32 yields: % 12.38/3.40 | (277) power_power(int, pls, all_0_4_4) = all_36_1_31 & power_power(int, pls, all_0_4_4) = all_36_2_32 & plus_plus(int, all_36_2_32, all_36_1_31) = all_36_0_30 & ~ ord_less(int, pls, all_36_0_30) % 12.38/3.40 | % 12.38/3.40 | Applying alpha-rule on (277) yields: % 12.38/3.40 | (278) power_power(int, pls, all_0_4_4) = all_36_1_31 % 12.38/3.40 | (279) power_power(int, pls, all_0_4_4) = all_36_2_32 % 12.38/3.40 | (280) plus_plus(int, all_36_2_32, all_36_1_31) = all_36_0_30 % 12.38/3.40 | (281) ~ ord_less(int, pls, all_36_0_30) % 12.38/3.40 | % 12.38/3.40 | Instantiating (262) with all_66_0_49 yields: % 12.38/3.40 | (282) power_power(int, all_0_7_7, all_0_2_2) = all_66_0_49 & power_power(int, pls, all_0_4_4) = all_66_0_49 % 12.38/3.40 | % 12.38/3.40 | Applying alpha-rule on (282) yields: % 12.38/3.40 | (283) power_power(int, all_0_7_7, all_0_2_2) = all_66_0_49 % 12.38/3.40 | (284) power_power(int, pls, all_0_4_4) = all_66_0_49 % 12.38/3.40 | % 12.38/3.40 | Instantiating (269) with all_84_0_56 yields: % 12.38/3.40 | (285) power_power(int, all_84_0_56, all_0_4_4) = pls & ti(int, all_0_7_7) = all_84_0_56 % 12.38/3.40 | % 12.38/3.40 | Applying alpha-rule on (285) yields: % 12.38/3.40 | (286) power_power(int, all_84_0_56, all_0_4_4) = pls % 12.38/3.40 | (287) ti(int, all_0_7_7) = all_84_0_56 % 12.38/3.40 | % 12.38/3.40 | Instantiating formula (146) with int, pls, all_0_4_4, all_36_1_31, all_66_0_49 and discharging atoms power_power(int, pls, all_0_4_4) = all_66_0_49, power_power(int, pls, all_0_4_4) = all_36_1_31, yields: % 12.38/3.40 | (288) all_66_0_49 = all_36_1_31 % 12.38/3.40 | % 12.38/3.40 | Instantiating formula (146) with int, pls, all_0_4_4, all_36_2_32, all_36_1_31 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_1_31, power_power(int, pls, all_0_4_4) = all_36_2_32, yields: % 12.38/3.40 | (289) all_36_1_31 = all_36_2_32 % 12.38/3.40 | % 12.38/3.40 | Instantiating formula (146) with int, pls, all_0_4_4, all_34_0_28, all_66_0_49 and discharging atoms power_power(int, pls, all_0_4_4) = all_66_0_49, power_power(int, pls, all_0_4_4) = all_34_0_28, yields: % 12.38/3.41 | (290) all_66_0_49 = all_34_0_28 % 12.38/3.41 | % 12.38/3.41 | Instantiating formula (146) with int, pls, all_0_4_4, all_34_1_29, all_36_1_31 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_1_31, power_power(int, pls, all_0_4_4) = all_34_1_29, yields: % 12.38/3.41 | (291) all_36_1_31 = all_34_1_29 % 12.38/3.41 | % 12.38/3.41 | Instantiating formula (146) with int, pls, all_0_4_4, all_32_0_27, all_36_2_32 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_2_32, power_power(int, pls, all_0_4_4) = all_32_0_27, yields: % 12.38/3.41 | (292) all_36_2_32 = all_32_0_27 % 12.38/3.41 | % 12.38/3.41 | Instantiating formula (146) with int, pls, all_0_4_4, pls, all_34_1_29 and discharging atoms power_power(int, pls, all_0_4_4) = all_34_1_29, power_power(int, pls, all_0_4_4) = pls, yields: % 12.38/3.41 | (293) all_34_1_29 = pls % 12.38/3.41 | % 12.38/3.41 | Instantiating formula (246) with int, all_0_7_7, all_0_7_7, all_84_0_56 and discharging atoms ti(int, all_0_7_7) = all_84_0_56, ti(int, all_0_7_7) = all_0_7_7, yields: % 12.38/3.41 | (294) all_84_0_56 = all_0_7_7 % 12.38/3.41 | % 12.38/3.41 | Instantiating formula (246) with int, all_0_7_7, pls, all_84_0_56 and discharging atoms ti(int, all_0_7_7) = all_84_0_56, ti(int, all_0_7_7) = pls, yields: % 12.38/3.41 | (295) all_84_0_56 = pls % 12.38/3.41 | % 12.38/3.41 | Combining equations (295,294) yields a new equation: % 12.38/3.41 | (296) all_0_7_7 = pls % 12.38/3.41 | % 12.38/3.41 | Combining equations (288,290) yields a new equation: % 12.38/3.41 | (297) all_36_1_31 = all_34_0_28 % 12.38/3.41 | % 12.38/3.41 | Simplifying 297 yields: % 12.38/3.41 | (298) all_36_1_31 = all_34_0_28 % 12.38/3.41 | % 12.38/3.41 | Combining equations (289,298) yields a new equation: % 12.38/3.41 | (299) all_36_2_32 = all_34_0_28 % 12.38/3.41 | % 12.38/3.41 | Simplifying 299 yields: % 12.38/3.41 | (300) all_36_2_32 = all_34_0_28 % 12.38/3.41 | % 12.38/3.41 | Combining equations (291,298) yields a new equation: % 12.38/3.41 | (301) all_34_0_28 = all_34_1_29 % 12.38/3.41 | % 12.38/3.41 | Combining equations (300,292) yields a new equation: % 12.38/3.41 | (302) all_34_0_28 = all_32_0_27 % 12.38/3.41 | % 12.38/3.41 | Simplifying 302 yields: % 12.38/3.41 | (303) all_34_0_28 = all_32_0_27 % 12.38/3.41 | % 12.38/3.41 | Combining equations (301,303) yields a new equation: % 12.38/3.41 | (304) all_34_1_29 = all_32_0_27 % 12.38/3.41 | % 12.38/3.41 | Simplifying 304 yields: % 12.38/3.41 | (305) all_34_1_29 = all_32_0_27 % 12.38/3.41 | % 12.38/3.41 | Combining equations (305,293) yields a new equation: % 12.38/3.41 | (306) all_32_0_27 = pls % 12.38/3.41 | % 12.38/3.41 | Simplifying 306 yields: % 12.38/3.41 | (307) all_32_0_27 = pls % 12.38/3.41 | % 12.38/3.41 | From (296) and (171) follows: % 12.38/3.41 | (308) ord_less(int, pls, pls) % 12.38/3.41 | % 12.38/3.41 | From (307) and (272) follows: % 12.38/3.41 | (218) ~ ord_less(int, pls, pls) % 12.38/3.41 | % 12.38/3.41 | Using (308) and (218) yields: % 12.38/3.41 | (310) $false % 12.38/3.41 | % 12.38/3.41 |-The branch is then unsatisfiable % 12.38/3.41 % SZS output end Proof for theBenchmark % 12.38/3.41 % 12.38/3.41 2811ms %------------------------------------------------------------------------------