%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW822_1 : TPTP v8.1.2. Released v7.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 1 00:51:28 EDT 2023 % Result : Unsatisfiable 49.45s 7.30s % Output : Proof 269.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW822_1 : TPTP v8.1.2. Released v7.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Sun Aug 27 17:59:10 EDT 2023 % 0.17/0.34 % CPUTime : % 0.20/0.67 ________ _____ % 0.20/0.67 ___ __ \_________(_)________________________________ % 0.20/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.67 % 0.20/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.67 (2023-06-19) % 0.20/0.67 % 0.20/0.67 (c) Philipp Rümmer, 2009-2023 % 0.20/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.67 Amanda Stjerna. % 0.20/0.67 Free software under BSD-3-Clause. % 0.20/0.67 % 0.20/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.67 % 0.20/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.68 Running up to 7 provers in parallel. % 0.20/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.03/1.07 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 2.03/1.07 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 2.03/1.07 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 2.03/1.07 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 2.03/1.07 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 2.50/1.08 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 2.50/1.08 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 12.65/2.53 Prover 0: Preprocessing ... % 12.65/2.53 Prover 1: Preprocessing ... % 12.65/2.55 Prover 5: Preprocessing ... % 12.65/2.55 Prover 4: Preprocessing ... % 13.36/2.58 Prover 2: Preprocessing ... % 13.36/2.58 Prover 6: Preprocessing ... % 13.53/2.59 Prover 3: Preprocessing ... % 31.37/4.95 Prover 1: Warning: ignoring some quantifiers % 32.05/5.07 Prover 3: Warning: ignoring some quantifiers % 32.05/5.14 Prover 3: Constructing countermodel ... % 32.05/5.15 Prover 1: Constructing countermodel ... % 32.05/5.18 Prover 6: Proving ... % 34.09/5.31 Prover 4: Warning: ignoring some quantifiers % 35.15/5.49 Prover 4: Constructing countermodel ... % 36.51/5.61 Prover 0: Proving ... % 47.09/7.01 Prover 5: Proving ... % 47.65/7.05 Prover 2: Proving ... % 49.45/7.30 Prover 6: proved (6605ms) % 49.45/7.30 % 49.45/7.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 49.45/7.30 % 49.45/7.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 49.45/7.31 Prover 5: stopped % 49.45/7.31 Prover 2: stopped % 49.45/7.32 Prover 0: stopped % 49.45/7.33 Prover 3: stopped % 49.45/7.34 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 49.45/7.34 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 49.45/7.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 49.45/7.34 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 49.45/7.34 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 49.45/7.34 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 49.45/7.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 49.45/7.34 Prover 11: Warning: Problem contains reals, using incomplete axiomatisation % 49.45/7.36 Prover 13: Warning: Problem contains reals, using incomplete axiomatisation % 56.47/8.22 Prover 13: Preprocessing ... % 56.63/8.22 Prover 8: Preprocessing ... % 56.63/8.23 Prover 11: Preprocessing ... % 56.63/8.23 Prover 10: Preprocessing ... % 56.63/8.24 Prover 7: Preprocessing ... % 65.18/9.35 Prover 8: Warning: ignoring some quantifiers % 65.18/9.47 Prover 8: Constructing countermodel ... % 66.44/9.52 Prover 10: Warning: ignoring some quantifiers % 67.49/9.64 Prover 10: Constructing countermodel ... % 69.44/9.92 Prover 11: Warning: ignoring some quantifiers % 70.01/9.98 Prover 7: Warning: ignoring some quantifiers % 70.56/10.10 Prover 11: Constructing countermodel ... % 70.56/10.18 Prover 7: Constructing countermodel ... % 72.79/10.32 Prover 13: Warning: ignoring some quantifiers % 73.47/10.46 Prover 13: Constructing countermodel ... % 84.84/11.93 Prover 13: stopped % 84.84/11.96 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 84.84/11.96 Prover 16: Warning: Problem contains reals, using incomplete axiomatisation % 88.80/12.42 Prover 16: Preprocessing ... % 95.29/13.28 Prover 16: Warning: ignoring some quantifiers % 95.88/13.33 Prover 16: Constructing countermodel ... % 116.57/16.04 Prover 1: stopped % 116.57/16.05 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 116.57/16.05 Prover 19: Warning: Problem contains reals, using incomplete axiomatisation % 120.41/16.54 Prover 19: Preprocessing ... % 139.33/19.05 Prover 19: Warning: ignoring some quantifiers % 140.95/19.20 Prover 19: Constructing countermodel ... % 167.05/22.73 Prover 19: stopped % 177.31/24.16 Prover 16: stopped % 202.12/28.03 Prover 4: stopped % 205.39/28.71 Prover 7: stopped % 255.29/40.32 Prover 11: stopped % 256.56/40.83 Prover 8: stopped % 268.93/47.71 Prover 10: Found proof (size 46) % 268.93/47.71 Prover 10: proved (40395ms) % 268.93/47.71 % 268.93/47.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 268.93/47.71 % 268.93/47.73 % SZS output start Proof for theBenchmark % 268.93/47.74 Assumptions after simplification: % 268.93/47.74 --------------------------------- % 268.93/47.74 % 268.93/47.74 (formula_12) % 269.22/47.76 S16(f28) & S13(f20) & S9(f14) & ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) % 269.22/47.76 = v1) | ~ S2(v0) | ? [v2: $real] : (f27(f28, v1) = v2 & f19(f20, v0) = % 269.22/47.76 v2)) % 269.22/47.76 % 269.22/47.76 (formula_16) % 269.22/47.76 S16(f31) & S13(f20) & S9(f14) & ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) % 269.22/47.76 = v1) | ~ S2(v0) | ? [v2: $real] : (f27(f31, v1) = v2 & f19(f20, v0) = % 269.22/47.76 v2)) % 269.22/47.76 % 269.22/47.76 (formula_17) % 269.22/47.76 S11(f32) & S13(f20) & S9(f14) & ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) % 269.22/47.76 = v1) | ~ S2(v0) | ? [v2: $real] : (f19(f20, v0) = v2 & f16(f32, v2) = % 269.22/47.76 v1 & S10(v1))) % 269.22/47.76 % 269.22/47.76 (formula_3) % 269.22/47.76 S13(f20) & S12(f18) & S9(f14) & S2(f15) & ? [v0: S10] : ? [v1: $real] : ? % 269.22/47.76 [v2: S11] : ? [v3: S10] : ( ~ (v3 = v0) & f13(f14, f15) = v0 & f19(f20, f15) % 269.22/47.76 = v1 & f17(f18, v1) = v2 & f16(v2, real_0) = v3 & S11(v2) & S10(v3) & % 269.22/47.76 S10(v0)) % 269.22/47.76 % 269.22/47.76 (formula_38) % 269.22/47.77 S11(f32) & S12(f18) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! % 269.22/47.77 [v3: S11] : ! [v4: S10] : (v2 = v0 | ~ (f17(f18, v0) = v3) | ~ (f16(v3, v1) % 269.22/47.77 = v4) | ~ (f16(f32, v2) = v4)) & ! [v0: $real] : ! [v1: $real] : ! % 269.22/47.77 [v2: $real] : ! [v3: S11] : ! [v4: S10] : (v1 = real_0 | ~ (f17(f18, v0) = % 269.22/47.77 v3) | ~ (f16(v3, v1) = v4) | ~ (f16(f32, v2) = v4)) & ! [v0: $real] : % 269.22/47.77 ! [v1: S11] : ! [v2: S10] : ! [v3: S10] : (v3 = v2 | ~ (f17(f18, v0) = v1) % 269.22/47.77 | ~ (f16(v1, real_0) = v2) | ~ (f16(f32, v0) = v3)) % 269.22/47.77 % 269.22/47.77 (formula_39) % 269.22/47.77 S11(f32) & S12(f18) & ! [v0: $real] : ! [v1: S11] : ( ~ (f17(f18, v0) = v1) % 269.22/47.77 | ? [v2: S10] : (f16(v1, real_0) = v2 & f16(f32, v0) = v2 & S10(v2))) % 269.22/47.77 % 269.22/47.77 (formula_41) % 269.22/47.77 S17(f35) & S12(f18) & ! [v0: $real] : ! [v1: $real] : ! [v2: S11] : ! [v3: % 269.22/47.77 $real] : ( ~ (real_$uminus(v1) = v3) | ~ (f17(f18, v0) = v2) | ? [v4: S10] % 269.22/47.77 : ? [v5: S10] : (f34(f35, v4) = v5 & f16(v2, v3) = v5 & f16(v2, v1) = v4 & % 269.22/47.77 S11(v2) & S10(v5) & S10(v4))) % 269.22/47.77 % 269.22/47.77 (input) % 269.47/47.85 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_-3) & ~ % 269.47/47.85 (real_very_large = real_-1/2) & ~ (real_very_large = real_4) & ~ % 269.47/47.85 (real_very_large = real_1/2) & ~ (real_very_large = real_-2) & ~ % 269.47/47.85 (real_very_large = real_3) & ~ (real_very_large = real_-1) & ~ % 269.47/47.85 (real_very_large = real_1) & ~ (real_very_large = real_2) & ~ % 269.47/47.85 (real_very_large = real_0) & ~ (real_very_small = real_-3) & ~ % 269.47/47.85 (real_very_small = real_-1/2) & ~ (real_very_small = real_4) & ~ % 269.47/47.85 (real_very_small = real_1/2) & ~ (real_very_small = real_-2) & ~ % 269.47/47.85 (real_very_small = real_3) & ~ (real_very_small = real_-1) & ~ % 269.47/47.85 (real_very_small = real_1) & ~ (real_very_small = real_2) & ~ % 269.47/47.85 (real_very_small = real_0) & ~ (real_-3 = real_-1/2) & ~ (real_-3 = real_4) % 269.47/47.85 & ~ (real_-3 = real_1/2) & ~ (real_-3 = real_-2) & ~ (real_-3 = real_3) & % 269.47/47.85 ~ (real_-3 = real_-1) & ~ (real_-3 = real_1) & ~ (real_-3 = real_2) & ~ % 269.47/47.85 (real_-3 = real_0) & ~ (real_-1/2 = real_4) & ~ (real_-1/2 = real_1/2) & ~ % 269.47/47.85 (real_-1/2 = real_-2) & ~ (real_-1/2 = real_3) & ~ (real_-1/2 = real_-1) & % 269.47/47.85 ~ (real_-1/2 = real_1) & ~ (real_-1/2 = real_2) & ~ (real_-1/2 = real_0) & % 269.47/47.85 ~ (real_4 = real_1/2) & ~ (real_4 = real_-2) & ~ (real_4 = real_3) & ~ % 269.70/47.85 (real_4 = real_-1) & ~ (real_4 = real_1) & ~ (real_4 = real_2) & ~ (real_4 % 269.70/47.85 = real_0) & ~ (real_1/2 = real_-2) & ~ (real_1/2 = real_3) & ~ (real_1/2 % 269.70/47.85 = real_-1) & ~ (real_1/2 = real_1) & ~ (real_1/2 = real_2) & ~ (real_1/2 % 269.70/47.85 = real_0) & ~ (real_-2 = real_3) & ~ (real_-2 = real_-1) & ~ (real_-2 = % 269.70/47.85 real_1) & ~ (real_-2 = real_2) & ~ (real_-2 = real_0) & ~ (real_3 = % 269.70/47.85 real_-1) & ~ (real_3 = real_1) & ~ (real_3 = real_2) & ~ (real_3 = % 269.70/47.85 real_0) & ~ (real_-1 = real_1) & ~ (real_-1 = real_2) & ~ (real_-1 = % 269.70/47.85 real_0) & ~ (real_1 = real_2) & ~ (real_1 = real_0) & ~ (real_2 = real_0) % 269.70/47.85 & real_$floor(real_-3) = real_-3 & real_$floor(real_-1/2) = real_-1 & % 269.70/47.85 real_$floor(real_4) = real_4 & real_$floor(real_1/2) = real_0 & % 269.70/47.85 real_$floor(real_-2) = real_-2 & real_$floor(real_3) = real_3 & % 269.70/47.85 real_$floor(real_-1) = real_-1 & real_$floor(real_1) = real_1 & % 269.70/47.85 real_$floor(real_2) = real_2 & real_$floor(real_0) = real_0 & % 269.70/47.85 real_$ceiling(real_-3) = real_-3 & real_$ceiling(real_-1/2) = real_0 & % 269.70/47.85 real_$ceiling(real_4) = real_4 & real_$ceiling(real_1/2) = real_1 & % 269.70/47.85 real_$ceiling(real_-2) = real_-2 & real_$ceiling(real_3) = real_3 & % 269.70/47.85 real_$ceiling(real_-1) = real_-1 & real_$ceiling(real_1) = real_1 & % 269.70/47.85 real_$ceiling(real_2) = real_2 & real_$ceiling(real_0) = real_0 & % 269.70/47.85 real_$truncate(real_-3) = real_-3 & real_$truncate(real_-1/2) = real_0 & % 269.70/47.85 real_$truncate(real_4) = real_4 & real_$truncate(real_1/2) = real_0 & % 269.70/47.85 real_$truncate(real_-2) = real_-2 & real_$truncate(real_3) = real_3 & % 269.70/47.85 real_$truncate(real_-1) = real_-1 & real_$truncate(real_1) = real_1 & % 269.70/47.85 real_$truncate(real_2) = real_2 & real_$truncate(real_0) = real_0 & % 269.70/47.85 real_$round(real_-3) = real_-3 & real_$round(real_-1/2) = real_0 & % 269.70/47.85 real_$round(real_4) = real_4 & real_$round(real_1/2) = real_1 & % 269.70/47.85 real_$round(real_-2) = real_-2 & real_$round(real_3) = real_3 & % 269.70/47.85 real_$round(real_-1) = real_-1 & real_$round(real_1) = real_1 & % 269.70/47.85 real_$round(real_2) = real_2 & real_$round(real_0) = real_0 & % 269.70/47.85 real_$to_int(real_-3) = -3 & real_$to_int(real_-1/2) = -1 & % 269.70/47.85 real_$to_int(real_4) = 4 & real_$to_int(real_1/2) = 0 & real_$to_int(real_-2) % 269.70/47.85 = -2 & real_$to_int(real_3) = 3 & real_$to_int(real_-1) = -1 & % 269.70/47.85 real_$to_int(real_1) = 1 & real_$to_int(real_2) = 2 & real_$to_int(real_0) = 0 % 269.70/47.85 & real_$to_rat(real_-3) = rat_-3 & real_$to_rat(real_-1/2) = rat_-1/2 & % 269.70/47.85 real_$to_rat(real_4) = rat_4 & real_$to_rat(real_1/2) = rat_1/2 & % 269.70/47.85 real_$to_rat(real_-2) = rat_-2 & real_$to_rat(real_3) = rat_3 & % 269.70/47.85 real_$to_rat(real_-1) = rat_-1 & real_$to_rat(real_1) = rat_1 & % 269.70/47.85 real_$to_rat(real_2) = rat_2 & real_$to_rat(real_0) = rat_0 & % 269.70/47.85 real_$to_real(real_-3) = real_-3 & real_$to_real(real_-1/2) = real_-1/2 & % 269.70/47.85 real_$to_real(real_4) = real_4 & real_$to_real(real_1/2) = real_1/2 & % 269.70/47.85 real_$to_real(real_-2) = real_-2 & real_$to_real(real_3) = real_3 & % 269.70/47.85 real_$to_real(real_-1) = real_-1 & real_$to_real(real_1) = real_1 & % 269.70/47.85 real_$to_real(real_2) = real_2 & real_$to_real(real_0) = real_0 & % 269.70/47.85 int_$to_real(4) = real_4 & int_$to_real(-3) = real_-3 & int_$to_real(3) = % 269.70/47.85 real_3 & int_$to_real(-2) = real_-2 & int_$to_real(2) = real_2 & % 269.70/47.85 int_$to_real(-1) = real_-1 & int_$to_real(1) = real_1 & int_$to_real(0) = % 269.70/47.85 real_0 & real_$quotient(real_-3, real_-3) = real_1 & real_$quotient(real_-3, % 269.70/47.85 real_3) = real_-1 & real_$quotient(real_-3, real_-1) = real_3 & % 269.70/47.85 real_$quotient(real_-3, real_1) = real_-3 & real_$quotient(real_-1/2, % 269.70/47.85 real_-1/2) = real_1 & real_$quotient(real_-1/2, real_1/2) = real_-1 & % 269.70/47.85 real_$quotient(real_-1/2, real_-1) = real_1/2 & real_$quotient(real_-1/2, % 269.70/47.85 real_1) = real_-1/2 & real_$quotient(real_4, real_4) = real_1 & % 269.70/47.85 real_$quotient(real_4, real_-2) = real_-2 & real_$quotient(real_4, real_1) = % 269.70/47.85 real_4 & real_$quotient(real_4, real_2) = real_2 & real_$quotient(real_1/2, % 269.70/47.85 real_-1/2) = real_-1 & real_$quotient(real_1/2, real_1/2) = real_1 & % 269.70/47.85 real_$quotient(real_1/2, real_-1) = real_-1/2 & real_$quotient(real_1/2, % 269.70/47.85 real_1) = real_1/2 & real_$quotient(real_-2, real_-1/2) = real_4 & % 269.70/47.85 real_$quotient(real_-2, real_4) = real_-1/2 & real_$quotient(real_-2, real_-2) % 269.70/47.85 = real_1 & real_$quotient(real_-2, real_-1) = real_2 & real_$quotient(real_-2, % 269.70/47.85 real_1) = real_-2 & real_$quotient(real_-2, real_2) = real_-1 & % 269.70/47.85 real_$quotient(real_3, real_-3) = real_-1 & real_$quotient(real_3, real_3) = % 269.70/47.85 real_1 & real_$quotient(real_3, real_-1) = real_-3 & real_$quotient(real_3, % 269.70/47.85 real_1) = real_3 & real_$quotient(real_-1, real_-1/2) = real_2 & % 269.70/47.85 real_$quotient(real_-1, real_1/2) = real_-2 & real_$quotient(real_-1, real_-2) % 269.70/47.85 = real_1/2 & real_$quotient(real_-1, real_-1) = real_1 & % 269.70/47.85 real_$quotient(real_-1, real_1) = real_-1 & real_$quotient(real_-1, real_2) = % 269.70/47.85 real_-1/2 & real_$quotient(real_1, real_-1/2) = real_-2 & % 269.70/47.85 real_$quotient(real_1, real_1/2) = real_2 & real_$quotient(real_1, real_-2) = % 269.70/47.85 real_-1/2 & real_$quotient(real_1, real_-1) = real_-1 & real_$quotient(real_1, % 269.70/47.85 real_1) = real_1 & real_$quotient(real_1, real_2) = real_1/2 & % 269.70/47.85 real_$quotient(real_2, real_4) = real_1/2 & real_$quotient(real_2, real_1/2) = % 269.70/47.85 real_4 & real_$quotient(real_2, real_-2) = real_-1 & real_$quotient(real_2, % 269.70/47.85 real_-1) = real_-2 & real_$quotient(real_2, real_1) = real_2 & % 269.70/47.85 real_$quotient(real_2, real_2) = real_1 & real_$quotient(real_0, real_-3) = % 269.70/47.85 real_0 & real_$quotient(real_0, real_-1/2) = real_0 & real_$quotient(real_0, % 269.70/47.85 real_4) = real_0 & real_$quotient(real_0, real_1/2) = real_0 & % 269.70/47.85 real_$quotient(real_0, real_-2) = real_0 & real_$quotient(real_0, real_3) = % 269.70/47.85 real_0 & real_$quotient(real_0, real_-1) = real_0 & real_$quotient(real_0, % 269.70/47.85 real_1) = real_0 & real_$quotient(real_0, real_2) = real_0 & % 269.70/47.85 real_$difference(real_-3, real_-3) = real_0 & real_$difference(real_-3, % 269.70/47.85 real_-2) = real_-1 & real_$difference(real_-3, real_-1) = real_-2 & % 269.70/47.85 real_$difference(real_-3, real_0) = real_-3 & real_$difference(real_-1/2, % 269.70/47.85 real_-1/2) = real_0 & real_$difference(real_-1/2, real_1/2) = real_-1 & % 269.70/47.85 real_$difference(real_-1/2, real_-1) = real_1/2 & real_$difference(real_-1/2, % 269.70/47.85 real_0) = real_-1/2 & real_$difference(real_4, real_4) = real_0 & % 269.70/47.85 real_$difference(real_4, real_3) = real_1 & real_$difference(real_4, real_1) = % 269.70/47.85 real_3 & real_$difference(real_4, real_2) = real_2 & real_$difference(real_4, % 269.70/47.85 real_0) = real_4 & real_$difference(real_1/2, real_-1/2) = real_1 & % 269.70/47.85 real_$difference(real_1/2, real_1/2) = real_0 & real_$difference(real_1/2, % 269.70/47.85 real_1) = real_-1/2 & real_$difference(real_1/2, real_0) = real_1/2 & % 269.70/47.85 real_$difference(real_-2, real_-3) = real_1 & real_$difference(real_-2, % 269.70/47.85 real_-2) = real_0 & real_$difference(real_-2, real_-1) = real_-1 & % 269.70/47.85 real_$difference(real_-2, real_1) = real_-3 & real_$difference(real_-2, % 269.70/47.85 real_0) = real_-2 & real_$difference(real_3, real_4) = real_-1 & % 269.70/47.85 real_$difference(real_3, real_3) = real_0 & real_$difference(real_3, real_-1) % 269.70/47.85 = real_4 & real_$difference(real_3, real_1) = real_2 & % 269.70/47.85 real_$difference(real_3, real_2) = real_1 & real_$difference(real_3, real_0) = % 269.70/47.85 real_3 & real_$difference(real_-1, real_-3) = real_2 & % 269.70/47.85 real_$difference(real_-1, real_-1/2) = real_-1/2 & real_$difference(real_-1, % 269.70/47.85 real_-2) = real_1 & real_$difference(real_-1, real_-1) = real_0 & % 269.70/47.85 real_$difference(real_-1, real_1) = real_-2 & real_$difference(real_-1, % 269.70/47.85 real_2) = real_-3 & real_$difference(real_-1, real_0) = real_-1 & % 269.70/47.85 real_$difference(real_1, real_-3) = real_4 & real_$difference(real_1, real_4) % 269.70/47.85 = real_-3 & real_$difference(real_1, real_1/2) = real_1/2 & % 269.70/47.85 real_$difference(real_1, real_-2) = real_3 & real_$difference(real_1, real_3) % 269.70/47.85 = real_-2 & real_$difference(real_1, real_-1) = real_2 & % 269.70/47.85 real_$difference(real_1, real_1) = real_0 & real_$difference(real_1, real_2) = % 269.70/47.85 real_-1 & real_$difference(real_1, real_0) = real_1 & real_$difference(real_2, % 269.70/47.85 real_4) = real_-2 & real_$difference(real_2, real_-2) = real_4 & % 269.70/47.85 real_$difference(real_2, real_3) = real_-1 & real_$difference(real_2, real_-1) % 269.70/47.85 = real_3 & real_$difference(real_2, real_1) = real_1 & % 269.70/47.85 real_$difference(real_2, real_2) = real_0 & real_$difference(real_2, real_0) = % 269.70/47.85 real_2 & real_$difference(real_0, real_-3) = real_3 & real_$difference(real_0, % 269.70/47.85 real_-1/2) = real_1/2 & real_$difference(real_0, real_1/2) = real_-1/2 & % 269.70/47.85 real_$difference(real_0, real_-2) = real_2 & real_$difference(real_0, real_3) % 269.70/47.85 = real_-3 & real_$difference(real_0, real_-1) = real_1 & % 269.70/47.85 real_$difference(real_0, real_1) = real_-1 & real_$difference(real_0, real_2) % 269.70/47.85 = real_-2 & real_$difference(real_0, real_0) = real_0 & real_$sum(real_-3, % 269.70/47.85 real_4) = real_1 & real_$sum(real_-3, real_3) = real_0 & real_$sum(real_-3, % 269.70/47.85 real_1) = real_-2 & real_$sum(real_-3, real_2) = real_-1 & % 269.70/47.85 real_$sum(real_-3, real_0) = real_-3 & real_$sum(real_-1/2, real_-1/2) = % 269.70/47.85 real_-1 & real_$sum(real_-1/2, real_1/2) = real_0 & real_$sum(real_-1/2, % 269.70/47.85 real_1) = real_1/2 & real_$sum(real_-1/2, real_0) = real_-1/2 & % 269.70/47.85 real_$sum(real_4, real_-3) = real_1 & real_$sum(real_4, real_-2) = real_2 & % 269.70/47.85 real_$sum(real_4, real_-1) = real_3 & real_$sum(real_4, real_0) = real_4 & % 269.70/47.85 real_$sum(real_1/2, real_-1/2) = real_0 & real_$sum(real_1/2, real_1/2) = % 269.70/47.85 real_1 & real_$sum(real_1/2, real_-1) = real_-1/2 & real_$sum(real_1/2, % 269.70/47.85 real_0) = real_1/2 & real_$sum(real_-2, real_4) = real_2 & % 269.70/47.85 real_$sum(real_-2, real_3) = real_1 & real_$sum(real_-2, real_-1) = real_-3 & % 269.70/47.85 real_$sum(real_-2, real_1) = real_-1 & real_$sum(real_-2, real_2) = real_0 & % 269.70/47.85 real_$sum(real_-2, real_0) = real_-2 & real_$sum(real_3, real_-3) = real_0 & % 269.70/47.85 real_$sum(real_3, real_-2) = real_1 & real_$sum(real_3, real_-1) = real_2 & % 269.70/47.85 real_$sum(real_3, real_1) = real_4 & real_$sum(real_3, real_0) = real_3 & % 269.70/47.85 real_$sum(real_-1, real_4) = real_3 & real_$sum(real_-1, real_1/2) = real_-1/2 % 269.70/47.85 & real_$sum(real_-1, real_-2) = real_-3 & real_$sum(real_-1, real_3) = real_2 % 269.70/47.85 & real_$sum(real_-1, real_-1) = real_-2 & real_$sum(real_-1, real_1) = real_0 % 269.70/47.85 & real_$sum(real_-1, real_2) = real_1 & real_$sum(real_-1, real_0) = real_-1 & % 269.70/47.85 real_$sum(real_1, real_-3) = real_-2 & real_$sum(real_1, real_-1/2) = real_1/2 % 269.70/47.85 & real_$sum(real_1, real_-2) = real_-1 & real_$sum(real_1, real_3) = real_4 & % 269.70/47.85 real_$sum(real_1, real_-1) = real_0 & real_$sum(real_1, real_1) = real_2 & % 269.70/47.85 real_$sum(real_1, real_2) = real_3 & real_$sum(real_1, real_0) = real_1 & % 269.70/47.85 real_$sum(real_2, real_-3) = real_-1 & real_$sum(real_2, real_-2) = real_0 & % 269.70/47.85 real_$sum(real_2, real_-1) = real_1 & real_$sum(real_2, real_1) = real_3 & % 269.70/47.85 real_$sum(real_2, real_2) = real_4 & real_$sum(real_2, real_0) = real_2 & % 269.70/47.85 real_$sum(real_0, real_-3) = real_-3 & real_$sum(real_0, real_-1/2) = % 269.70/47.85 real_-1/2 & real_$sum(real_0, real_4) = real_4 & real_$sum(real_0, real_1/2) = % 269.70/47.85 real_1/2 & real_$sum(real_0, real_-2) = real_-2 & real_$sum(real_0, real_3) = % 269.70/47.85 real_3 & real_$sum(real_0, real_-1) = real_-1 & real_$sum(real_0, real_1) = % 269.70/47.85 real_1 & real_$sum(real_0, real_2) = real_2 & real_$sum(real_0, real_0) = % 269.70/47.86 real_0 & real_$product(real_-3, real_-1) = real_3 & real_$product(real_-3, % 269.70/47.86 real_1) = real_-3 & real_$product(real_-3, real_0) = real_0 & % 269.70/47.86 real_$product(real_-1/2, real_4) = real_-2 & real_$product(real_-1/2, real_-2) % 269.70/47.86 = real_1 & real_$product(real_-1/2, real_-1) = real_1/2 & % 269.70/47.86 real_$product(real_-1/2, real_1) = real_-1/2 & real_$product(real_-1/2, % 269.70/47.86 real_2) = real_-1 & real_$product(real_-1/2, real_0) = real_0 & % 269.70/47.86 real_$product(real_4, real_-1/2) = real_-2 & real_$product(real_4, real_1/2) = % 269.70/47.86 real_2 & real_$product(real_4, real_1) = real_4 & real_$product(real_4, % 269.70/47.86 real_0) = real_0 & real_$product(real_1/2, real_4) = real_2 & % 269.70/47.86 real_$product(real_1/2, real_-2) = real_-1 & real_$product(real_1/2, real_-1) % 269.70/47.86 = real_-1/2 & real_$product(real_1/2, real_1) = real_1/2 & % 269.70/47.86 real_$product(real_1/2, real_2) = real_1 & real_$product(real_1/2, real_0) = % 269.70/47.86 real_0 & real_$product(real_-2, real_-1/2) = real_1 & real_$product(real_-2, % 269.70/47.86 real_1/2) = real_-1 & real_$product(real_-2, real_-2) = real_4 & % 269.70/47.86 real_$product(real_-2, real_-1) = real_2 & real_$product(real_-2, real_1) = % 269.70/47.86 real_-2 & real_$product(real_-2, real_0) = real_0 & real_$product(real_3, % 269.70/47.86 real_-1) = real_-3 & real_$product(real_3, real_1) = real_3 & % 269.70/47.86 real_$product(real_3, real_0) = real_0 & real_$product(real_-1, real_-3) = % 269.70/47.86 real_3 & real_$product(real_-1, real_-1/2) = real_1/2 & real_$product(real_-1, % 269.70/47.86 real_1/2) = real_-1/2 & real_$product(real_-1, real_-2) = real_2 & % 269.70/47.86 real_$product(real_-1, real_3) = real_-3 & real_$product(real_-1, real_-1) = % 269.70/47.86 real_1 & real_$product(real_-1, real_1) = real_-1 & real_$product(real_-1, % 269.70/47.86 real_2) = real_-2 & real_$product(real_-1, real_0) = real_0 & % 269.70/47.86 real_$product(real_1, real_-3) = real_-3 & real_$product(real_1, real_-1/2) = % 269.70/47.86 real_-1/2 & real_$product(real_1, real_4) = real_4 & real_$product(real_1, % 269.70/47.86 real_1/2) = real_1/2 & real_$product(real_1, real_-2) = real_-2 & % 269.70/47.86 real_$product(real_1, real_3) = real_3 & real_$product(real_1, real_-1) = % 269.70/47.86 real_-1 & real_$product(real_1, real_1) = real_1 & real_$product(real_1, % 269.70/47.86 real_2) = real_2 & real_$product(real_1, real_0) = real_0 & % 269.70/47.86 real_$product(real_2, real_-1/2) = real_-1 & real_$product(real_2, real_1/2) = % 269.70/47.86 real_1 & real_$product(real_2, real_-1) = real_-2 & real_$product(real_2, % 269.70/47.86 real_1) = real_2 & real_$product(real_2, real_2) = real_4 & % 269.70/47.86 real_$product(real_2, real_0) = real_0 & real_$product(real_0, real_-3) = % 269.70/47.86 real_0 & real_$product(real_0, real_-1/2) = real_0 & real_$product(real_0, % 269.70/47.86 real_4) = real_0 & real_$product(real_0, real_1/2) = real_0 & % 269.70/47.86 real_$product(real_0, real_-2) = real_0 & real_$product(real_0, real_3) = % 269.70/47.86 real_0 & real_$product(real_0, real_-1) = real_0 & real_$product(real_0, % 269.70/47.86 real_1) = real_0 & real_$product(real_0, real_2) = real_0 & % 269.70/47.86 real_$product(real_0, real_0) = real_0 & real_$uminus(real_-3) = real_3 & % 269.70/47.86 real_$uminus(real_-1/2) = real_1/2 & real_$uminus(real_1/2) = real_-1/2 & % 269.70/47.86 real_$uminus(real_-2) = real_2 & real_$uminus(real_3) = real_-3 & % 269.70/47.86 real_$uminus(real_-1) = real_1 & real_$uminus(real_1) = real_-1 & % 269.70/47.86 real_$uminus(real_2) = real_-2 & real_$uminus(real_0) = real_0 & % 269.70/47.86 real_$is_rat(real_-3) & real_$is_rat(real_-1/2) & real_$is_rat(real_4) & % 269.70/47.86 real_$is_rat(real_1/2) & real_$is_rat(real_-2) & real_$is_rat(real_3) & % 269.70/47.86 real_$is_rat(real_-1) & real_$is_rat(real_1) & real_$is_rat(real_2) & % 269.70/47.86 real_$is_rat(real_0) & real_$is_int(real_-3) & real_$is_int(real_4) & % 269.70/47.86 real_$is_int(real_-2) & real_$is_int(real_3) & real_$is_int(real_-1) & % 269.70/47.86 real_$is_int(real_1) & real_$is_int(real_2) & real_$is_int(real_0) & % 269.70/47.86 real_$greatereq(real_-3, real_-3) & real_$greatereq(real_-1/2, real_-3) & % 269.70/47.86 real_$greatereq(real_-1/2, real_-1/2) & real_$greatereq(real_-1/2, real_-2) & % 269.70/47.86 real_$greatereq(real_-1/2, real_-1) & real_$greatereq(real_4, real_-3) & % 269.70/47.86 real_$greatereq(real_4, real_-1/2) & real_$greatereq(real_4, real_4) & % 269.70/47.86 real_$greatereq(real_4, real_1/2) & real_$greatereq(real_4, real_-2) & % 269.70/47.86 real_$greatereq(real_4, real_3) & real_$greatereq(real_4, real_-1) & % 269.70/47.86 real_$greatereq(real_4, real_1) & real_$greatereq(real_4, real_2) & % 269.70/47.86 real_$greatereq(real_4, real_0) & real_$greatereq(real_1/2, real_-3) & % 269.70/47.86 real_$greatereq(real_1/2, real_-1/2) & real_$greatereq(real_1/2, real_1/2) & % 269.70/47.86 real_$greatereq(real_1/2, real_-2) & real_$greatereq(real_1/2, real_-1) & % 269.70/47.86 real_$greatereq(real_1/2, real_0) & real_$greatereq(real_-2, real_-3) & % 269.70/47.86 real_$greatereq(real_-2, real_-2) & real_$greatereq(real_3, real_-3) & % 269.70/47.86 real_$greatereq(real_3, real_-1/2) & real_$greatereq(real_3, real_1/2) & % 269.70/47.86 real_$greatereq(real_3, real_-2) & real_$greatereq(real_3, real_3) & % 269.70/47.86 real_$greatereq(real_3, real_-1) & real_$greatereq(real_3, real_1) & % 269.70/47.86 real_$greatereq(real_3, real_2) & real_$greatereq(real_3, real_0) & % 269.70/47.86 real_$greatereq(real_-1, real_-3) & real_$greatereq(real_-1, real_-2) & % 269.70/47.86 real_$greatereq(real_-1, real_-1) & real_$greatereq(real_1, real_-3) & % 269.70/47.86 real_$greatereq(real_1, real_-1/2) & real_$greatereq(real_1, real_1/2) & % 269.70/47.86 real_$greatereq(real_1, real_-2) & real_$greatereq(real_1, real_-1) & % 269.70/47.86 real_$greatereq(real_1, real_1) & real_$greatereq(real_1, real_0) & % 269.70/47.86 real_$greatereq(real_2, real_-3) & real_$greatereq(real_2, real_-1/2) & % 269.70/47.86 real_$greatereq(real_2, real_1/2) & real_$greatereq(real_2, real_-2) & % 269.70/47.86 real_$greatereq(real_2, real_-1) & real_$greatereq(real_2, real_1) & % 269.70/47.86 real_$greatereq(real_2, real_2) & real_$greatereq(real_2, real_0) & % 269.70/47.86 real_$greatereq(real_0, real_-3) & real_$greatereq(real_0, real_-1/2) & % 269.70/47.86 real_$greatereq(real_0, real_-2) & real_$greatereq(real_0, real_-1) & % 269.70/47.86 real_$greatereq(real_0, real_0) & real_$greater(real_very_large, real_-3) & % 269.70/47.86 real_$greater(real_very_large, real_-1/2) & real_$greater(real_very_large, % 269.70/47.86 real_4) & real_$greater(real_very_large, real_1/2) & % 269.70/47.86 real_$greater(real_very_large, real_-2) & real_$greater(real_very_large, % 269.70/47.86 real_3) & real_$greater(real_very_large, real_-1) & % 269.70/47.86 real_$greater(real_very_large, real_1) & real_$greater(real_very_large, % 269.70/47.86 real_2) & real_$greater(real_very_large, real_0) & real_$greater(real_-3, % 269.70/47.86 real_very_small) & real_$greater(real_-1/2, real_very_small) & % 269.70/47.86 real_$greater(real_-1/2, real_-3) & real_$greater(real_-1/2, real_-2) & % 269.70/47.86 real_$greater(real_-1/2, real_-1) & real_$greater(real_4, real_very_small) & % 269.70/47.86 real_$greater(real_4, real_-3) & real_$greater(real_4, real_-1/2) & % 269.70/47.86 real_$greater(real_4, real_1/2) & real_$greater(real_4, real_-2) & % 269.70/47.86 real_$greater(real_4, real_3) & real_$greater(real_4, real_-1) & % 269.70/47.86 real_$greater(real_4, real_1) & real_$greater(real_4, real_2) & % 269.70/47.86 real_$greater(real_4, real_0) & real_$greater(real_1/2, real_very_small) & % 269.70/47.86 real_$greater(real_1/2, real_-3) & real_$greater(real_1/2, real_-1/2) & % 269.70/47.86 real_$greater(real_1/2, real_-2) & real_$greater(real_1/2, real_-1) & % 269.70/47.86 real_$greater(real_1/2, real_0) & real_$greater(real_-2, real_very_small) & % 269.70/47.86 real_$greater(real_-2, real_-3) & real_$greater(real_3, real_very_small) & % 269.70/47.86 real_$greater(real_3, real_-3) & real_$greater(real_3, real_-1/2) & % 269.70/47.86 real_$greater(real_3, real_1/2) & real_$greater(real_3, real_-2) & % 269.70/47.86 real_$greater(real_3, real_-1) & real_$greater(real_3, real_1) & % 269.70/47.86 real_$greater(real_3, real_2) & real_$greater(real_3, real_0) & % 269.70/47.86 real_$greater(real_-1, real_very_small) & real_$greater(real_-1, real_-3) & % 269.70/47.86 real_$greater(real_-1, real_-2) & real_$greater(real_1, real_very_small) & % 269.70/47.86 real_$greater(real_1, real_-3) & real_$greater(real_1, real_-1/2) & % 269.70/47.86 real_$greater(real_1, real_1/2) & real_$greater(real_1, real_-2) & % 269.70/47.86 real_$greater(real_1, real_-1) & real_$greater(real_1, real_0) & % 269.70/47.86 real_$greater(real_2, real_very_small) & real_$greater(real_2, real_-3) & % 269.70/47.86 real_$greater(real_2, real_-1/2) & real_$greater(real_2, real_1/2) & % 269.70/47.86 real_$greater(real_2, real_-2) & real_$greater(real_2, real_-1) & % 269.70/47.86 real_$greater(real_2, real_1) & real_$greater(real_2, real_0) & % 269.70/47.86 real_$greater(real_0, real_very_small) & real_$greater(real_0, real_-3) & % 269.70/47.86 real_$greater(real_0, real_-1/2) & real_$greater(real_0, real_-2) & % 269.70/47.86 real_$greater(real_0, real_-1) & real_$lesseq(real_very_small, % 269.70/47.86 real_very_large) & real_$lesseq(real_-3, real_-3) & real_$lesseq(real_-3, % 269.70/47.86 real_-1/2) & real_$lesseq(real_-3, real_4) & real_$lesseq(real_-3, real_1/2) % 269.70/47.86 & real_$lesseq(real_-3, real_-2) & real_$lesseq(real_-3, real_3) & % 269.70/47.86 real_$lesseq(real_-3, real_-1) & real_$lesseq(real_-3, real_1) & % 269.70/47.86 real_$lesseq(real_-3, real_2) & real_$lesseq(real_-3, real_0) & % 269.70/47.86 real_$lesseq(real_-1/2, real_-1/2) & real_$lesseq(real_-1/2, real_4) & % 269.70/47.86 real_$lesseq(real_-1/2, real_1/2) & real_$lesseq(real_-1/2, real_3) & % 269.70/47.86 real_$lesseq(real_-1/2, real_1) & real_$lesseq(real_-1/2, real_2) & % 269.70/47.86 real_$lesseq(real_-1/2, real_0) & real_$lesseq(real_4, real_4) & % 269.70/47.86 real_$lesseq(real_1/2, real_4) & real_$lesseq(real_1/2, real_1/2) & % 269.70/47.86 real_$lesseq(real_1/2, real_3) & real_$lesseq(real_1/2, real_1) & % 269.70/47.86 real_$lesseq(real_1/2, real_2) & real_$lesseq(real_-2, real_-1/2) & % 269.70/47.86 real_$lesseq(real_-2, real_4) & real_$lesseq(real_-2, real_1/2) & % 269.70/47.86 real_$lesseq(real_-2, real_-2) & real_$lesseq(real_-2, real_3) & % 269.70/47.86 real_$lesseq(real_-2, real_-1) & real_$lesseq(real_-2, real_1) & % 269.70/47.86 real_$lesseq(real_-2, real_2) & real_$lesseq(real_-2, real_0) & % 269.70/47.86 real_$lesseq(real_3, real_4) & real_$lesseq(real_3, real_3) & % 269.70/47.86 real_$lesseq(real_-1, real_-1/2) & real_$lesseq(real_-1, real_4) & % 269.70/47.86 real_$lesseq(real_-1, real_1/2) & real_$lesseq(real_-1, real_3) & % 269.70/47.86 real_$lesseq(real_-1, real_-1) & real_$lesseq(real_-1, real_1) & % 269.70/47.86 real_$lesseq(real_-1, real_2) & real_$lesseq(real_-1, real_0) & % 269.70/47.86 real_$lesseq(real_1, real_4) & real_$lesseq(real_1, real_3) & % 269.70/47.86 real_$lesseq(real_1, real_1) & real_$lesseq(real_1, real_2) & % 269.70/47.86 real_$lesseq(real_2, real_4) & real_$lesseq(real_2, real_3) & % 269.70/47.86 real_$lesseq(real_2, real_2) & real_$lesseq(real_0, real_4) & % 269.70/47.86 real_$lesseq(real_0, real_1/2) & real_$lesseq(real_0, real_3) & % 269.70/47.86 real_$lesseq(real_0, real_1) & real_$lesseq(real_0, real_2) & % 269.70/47.86 real_$lesseq(real_0, real_0) & real_$less(real_very_small, real_very_large) & % 269.70/47.86 real_$less(real_very_small, real_-3) & real_$less(real_very_small, real_-1/2) % 269.70/47.86 & real_$less(real_very_small, real_4) & real_$less(real_very_small, real_1/2) % 269.70/47.86 & real_$less(real_very_small, real_-2) & real_$less(real_very_small, real_3) & % 269.70/47.86 real_$less(real_very_small, real_-1) & real_$less(real_very_small, real_1) & % 269.70/47.86 real_$less(real_very_small, real_2) & real_$less(real_very_small, real_0) & % 269.70/47.86 real_$less(real_-3, real_very_large) & real_$less(real_-3, real_-1/2) & % 269.70/47.86 real_$less(real_-3, real_4) & real_$less(real_-3, real_1/2) & % 269.70/47.86 real_$less(real_-3, real_-2) & real_$less(real_-3, real_3) & % 269.70/47.86 real_$less(real_-3, real_-1) & real_$less(real_-3, real_1) & % 269.70/47.86 real_$less(real_-3, real_2) & real_$less(real_-3, real_0) & % 269.70/47.86 real_$less(real_-1/2, real_very_large) & real_$less(real_-1/2, real_4) & % 269.70/47.86 real_$less(real_-1/2, real_1/2) & real_$less(real_-1/2, real_3) & % 269.70/47.86 real_$less(real_-1/2, real_1) & real_$less(real_-1/2, real_2) & % 269.70/47.86 real_$less(real_-1/2, real_0) & real_$less(real_4, real_very_large) & % 269.70/47.86 real_$less(real_1/2, real_very_large) & real_$less(real_1/2, real_4) & % 269.70/47.86 real_$less(real_1/2, real_3) & real_$less(real_1/2, real_1) & % 269.70/47.86 real_$less(real_1/2, real_2) & real_$less(real_-2, real_very_large) & % 269.70/47.86 real_$less(real_-2, real_-1/2) & real_$less(real_-2, real_4) & % 269.70/47.86 real_$less(real_-2, real_1/2) & real_$less(real_-2, real_3) & % 269.70/47.86 real_$less(real_-2, real_-1) & real_$less(real_-2, real_1) & % 269.70/47.86 real_$less(real_-2, real_2) & real_$less(real_-2, real_0) & real_$less(real_3, % 269.70/47.86 real_very_large) & real_$less(real_3, real_4) & real_$less(real_-1, % 269.70/47.86 real_very_large) & real_$less(real_-1, real_-1/2) & real_$less(real_-1, % 269.70/47.86 real_4) & real_$less(real_-1, real_1/2) & real_$less(real_-1, real_3) & % 269.70/47.86 real_$less(real_-1, real_1) & real_$less(real_-1, real_2) & % 269.70/47.86 real_$less(real_-1, real_0) & real_$less(real_1, real_very_large) & % 269.70/47.86 real_$less(real_1, real_4) & real_$less(real_1, real_3) & real_$less(real_1, % 269.70/47.86 real_2) & real_$less(real_2, real_very_large) & real_$less(real_2, real_4) & % 269.70/47.86 real_$less(real_2, real_3) & real_$less(real_0, real_very_large) & % 269.70/47.86 real_$less(real_0, real_4) & real_$less(real_0, real_1/2) & real_$less(real_0, % 269.70/47.86 real_3) & real_$less(real_0, real_1) & real_$less(real_0, real_2) & ~ % 269.70/47.86 real_$is_int(real_-1/2) & ~ real_$is_int(real_1/2) & ~ % 269.70/47.86 real_$greatereq(real_very_small, real_very_large) & ~ % 269.70/47.86 real_$greatereq(real_-3, real_-1/2) & ~ real_$greatereq(real_-3, real_4) & ~ % 269.70/47.86 real_$greatereq(real_-3, real_1/2) & ~ real_$greatereq(real_-3, real_-2) & ~ % 269.70/47.86 real_$greatereq(real_-3, real_3) & ~ real_$greatereq(real_-3, real_-1) & ~ % 269.70/47.86 real_$greatereq(real_-3, real_1) & ~ real_$greatereq(real_-3, real_2) & ~ % 269.70/47.86 real_$greatereq(real_-3, real_0) & ~ real_$greatereq(real_-1/2, real_4) & ~ % 269.70/47.86 real_$greatereq(real_-1/2, real_1/2) & ~ real_$greatereq(real_-1/2, real_3) & % 269.70/47.86 ~ real_$greatereq(real_-1/2, real_1) & ~ real_$greatereq(real_-1/2, real_2) % 269.70/47.86 & ~ real_$greatereq(real_-1/2, real_0) & ~ real_$greatereq(real_1/2, real_4) % 269.70/47.86 & ~ real_$greatereq(real_1/2, real_3) & ~ real_$greatereq(real_1/2, real_1) % 269.70/47.86 & ~ real_$greatereq(real_1/2, real_2) & ~ real_$greatereq(real_-2, % 269.70/47.86 real_-1/2) & ~ real_$greatereq(real_-2, real_4) & ~ % 269.70/47.86 real_$greatereq(real_-2, real_1/2) & ~ real_$greatereq(real_-2, real_3) & ~ % 269.70/47.86 real_$greatereq(real_-2, real_-1) & ~ real_$greatereq(real_-2, real_1) & ~ % 269.70/47.86 real_$greatereq(real_-2, real_2) & ~ real_$greatereq(real_-2, real_0) & ~ % 269.70/47.86 real_$greatereq(real_3, real_4) & ~ real_$greatereq(real_-1, real_-1/2) & ~ % 269.70/47.86 real_$greatereq(real_-1, real_4) & ~ real_$greatereq(real_-1, real_1/2) & ~ % 269.70/47.86 real_$greatereq(real_-1, real_3) & ~ real_$greatereq(real_-1, real_1) & ~ % 269.70/47.86 real_$greatereq(real_-1, real_2) & ~ real_$greatereq(real_-1, real_0) & ~ % 269.70/47.86 real_$greatereq(real_1, real_4) & ~ real_$greatereq(real_1, real_3) & ~ % 269.70/47.86 real_$greatereq(real_1, real_2) & ~ real_$greatereq(real_2, real_4) & ~ % 269.70/47.86 real_$greatereq(real_2, real_3) & ~ real_$greatereq(real_0, real_4) & ~ % 269.70/47.86 real_$greatereq(real_0, real_1/2) & ~ real_$greatereq(real_0, real_3) & ~ % 269.70/47.86 real_$greatereq(real_0, real_1) & ~ real_$greatereq(real_0, real_2) & ~ % 269.70/47.86 real_$greater(real_very_small, real_very_large) & ~ real_$greater(real_-3, % 269.70/47.86 real_-3) & ~ real_$greater(real_-3, real_-1/2) & ~ real_$greater(real_-3, % 269.70/47.86 real_4) & ~ real_$greater(real_-3, real_1/2) & ~ real_$greater(real_-3, % 269.70/47.86 real_-2) & ~ real_$greater(real_-3, real_3) & ~ real_$greater(real_-3, % 269.70/47.86 real_-1) & ~ real_$greater(real_-3, real_1) & ~ real_$greater(real_-3, % 269.70/47.86 real_2) & ~ real_$greater(real_-3, real_0) & ~ real_$greater(real_-1/2, % 269.70/47.86 real_-1/2) & ~ real_$greater(real_-1/2, real_4) & ~ % 269.70/47.86 real_$greater(real_-1/2, real_1/2) & ~ real_$greater(real_-1/2, real_3) & ~ % 269.70/47.86 real_$greater(real_-1/2, real_1) & ~ real_$greater(real_-1/2, real_2) & ~ % 269.70/47.86 real_$greater(real_-1/2, real_0) & ~ real_$greater(real_4, real_4) & ~ % 269.70/47.86 real_$greater(real_1/2, real_4) & ~ real_$greater(real_1/2, real_1/2) & ~ % 269.70/47.86 real_$greater(real_1/2, real_3) & ~ real_$greater(real_1/2, real_1) & ~ % 269.70/47.86 real_$greater(real_1/2, real_2) & ~ real_$greater(real_-2, real_-1/2) & ~ % 269.70/47.86 real_$greater(real_-2, real_4) & ~ real_$greater(real_-2, real_1/2) & ~ % 269.70/47.86 real_$greater(real_-2, real_-2) & ~ real_$greater(real_-2, real_3) & ~ % 269.70/47.86 real_$greater(real_-2, real_-1) & ~ real_$greater(real_-2, real_1) & ~ % 269.70/47.86 real_$greater(real_-2, real_2) & ~ real_$greater(real_-2, real_0) & ~ % 269.70/47.86 real_$greater(real_3, real_4) & ~ real_$greater(real_3, real_3) & ~ % 269.70/47.86 real_$greater(real_-1, real_-1/2) & ~ real_$greater(real_-1, real_4) & ~ % 269.70/47.86 real_$greater(real_-1, real_1/2) & ~ real_$greater(real_-1, real_3) & ~ % 269.70/47.86 real_$greater(real_-1, real_-1) & ~ real_$greater(real_-1, real_1) & ~ % 269.70/47.86 real_$greater(real_-1, real_2) & ~ real_$greater(real_-1, real_0) & ~ % 269.70/47.86 real_$greater(real_1, real_4) & ~ real_$greater(real_1, real_3) & ~ % 269.70/47.86 real_$greater(real_1, real_1) & ~ real_$greater(real_1, real_2) & ~ % 269.70/47.86 real_$greater(real_2, real_4) & ~ real_$greater(real_2, real_3) & ~ % 269.70/47.86 real_$greater(real_2, real_2) & ~ real_$greater(real_0, real_4) & ~ % 269.70/47.86 real_$greater(real_0, real_1/2) & ~ real_$greater(real_0, real_3) & ~ % 269.70/47.86 real_$greater(real_0, real_1) & ~ real_$greater(real_0, real_2) & ~ % 269.70/47.86 real_$greater(real_0, real_0) & ~ real_$lesseq(real_-1/2, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_-1/2, real_-2) & ~ real_$lesseq(real_-1/2, real_-1) & ~ % 269.70/47.86 real_$lesseq(real_4, real_-3) & ~ real_$lesseq(real_4, real_-1/2) & ~ % 269.70/47.86 real_$lesseq(real_4, real_1/2) & ~ real_$lesseq(real_4, real_-2) & ~ % 269.70/47.86 real_$lesseq(real_4, real_3) & ~ real_$lesseq(real_4, real_-1) & ~ % 269.70/47.86 real_$lesseq(real_4, real_1) & ~ real_$lesseq(real_4, real_2) & ~ % 269.70/47.86 real_$lesseq(real_4, real_0) & ~ real_$lesseq(real_1/2, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_1/2, real_-1/2) & ~ real_$lesseq(real_1/2, real_-2) & ~ % 269.70/47.86 real_$lesseq(real_1/2, real_-1) & ~ real_$lesseq(real_1/2, real_0) & ~ % 269.70/47.86 real_$lesseq(real_-2, real_-3) & ~ real_$lesseq(real_3, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_3, real_-1/2) & ~ real_$lesseq(real_3, real_1/2) & ~ % 269.70/47.86 real_$lesseq(real_3, real_-2) & ~ real_$lesseq(real_3, real_-1) & ~ % 269.70/47.86 real_$lesseq(real_3, real_1) & ~ real_$lesseq(real_3, real_2) & ~ % 269.70/47.86 real_$lesseq(real_3, real_0) & ~ real_$lesseq(real_-1, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_-1, real_-2) & ~ real_$lesseq(real_1, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_1, real_-1/2) & ~ real_$lesseq(real_1, real_1/2) & ~ % 269.70/47.86 real_$lesseq(real_1, real_-2) & ~ real_$lesseq(real_1, real_-1) & ~ % 269.70/47.86 real_$lesseq(real_1, real_0) & ~ real_$lesseq(real_2, real_-3) & ~ % 269.70/47.86 real_$lesseq(real_2, real_-1/2) & ~ real_$lesseq(real_2, real_1/2) & ~ % 269.70/47.86 real_$lesseq(real_2, real_-2) & ~ real_$lesseq(real_2, real_-1) & ~ % 269.70/47.86 real_$lesseq(real_2, real_1) & ~ real_$lesseq(real_2, real_0) & ~ % 269.70/47.86 real_$lesseq(real_0, real_-3) & ~ real_$lesseq(real_0, real_-1/2) & ~ % 269.70/47.86 real_$lesseq(real_0, real_-2) & ~ real_$lesseq(real_0, real_-1) & ~ % 269.70/47.86 real_$less(real_-3, real_-3) & ~ real_$less(real_-1/2, real_-3) & ~ % 269.70/47.86 real_$less(real_-1/2, real_-1/2) & ~ real_$less(real_-1/2, real_-2) & ~ % 269.70/47.86 real_$less(real_-1/2, real_-1) & ~ real_$less(real_4, real_-3) & ~ % 269.70/47.86 real_$less(real_4, real_-1/2) & ~ real_$less(real_4, real_4) & ~ % 269.70/47.86 real_$less(real_4, real_1/2) & ~ real_$less(real_4, real_-2) & ~ % 269.70/47.86 real_$less(real_4, real_3) & ~ real_$less(real_4, real_-1) & ~ % 269.70/47.86 real_$less(real_4, real_1) & ~ real_$less(real_4, real_2) & ~ % 269.70/47.86 real_$less(real_4, real_0) & ~ real_$less(real_1/2, real_-3) & ~ % 269.70/47.86 real_$less(real_1/2, real_-1/2) & ~ real_$less(real_1/2, real_1/2) & ~ % 269.70/47.86 real_$less(real_1/2, real_-2) & ~ real_$less(real_1/2, real_-1) & ~ % 269.70/47.86 real_$less(real_1/2, real_0) & ~ real_$less(real_-2, real_-3) & ~ % 269.70/47.86 real_$less(real_-2, real_-2) & ~ real_$less(real_3, real_-3) & ~ % 269.70/47.86 real_$less(real_3, real_-1/2) & ~ real_$less(real_3, real_1/2) & ~ % 269.70/47.86 real_$less(real_3, real_-2) & ~ real_$less(real_3, real_3) & ~ % 269.70/47.86 real_$less(real_3, real_-1) & ~ real_$less(real_3, real_1) & ~ % 269.70/47.87 real_$less(real_3, real_2) & ~ real_$less(real_3, real_0) & ~ % 269.70/47.87 real_$less(real_-1, real_-3) & ~ real_$less(real_-1, real_-2) & ~ % 269.70/47.87 real_$less(real_-1, real_-1) & ~ real_$less(real_1, real_-3) & ~ % 269.70/47.87 real_$less(real_1, real_-1/2) & ~ real_$less(real_1, real_1/2) & ~ % 269.70/47.87 real_$less(real_1, real_-2) & ~ real_$less(real_1, real_-1) & ~ % 269.70/47.87 real_$less(real_1, real_1) & ~ real_$less(real_1, real_0) & ~ % 269.70/47.87 real_$less(real_2, real_-3) & ~ real_$less(real_2, real_-1/2) & ~ % 269.70/47.87 real_$less(real_2, real_1/2) & ~ real_$less(real_2, real_-2) & ~ % 269.70/47.87 real_$less(real_2, real_-1) & ~ real_$less(real_2, real_1) & ~ % 269.70/47.87 real_$less(real_2, real_2) & ~ real_$less(real_2, real_0) & ~ % 269.70/47.87 real_$less(real_0, real_-3) & ~ real_$less(real_0, real_-1/2) & ~ % 269.70/47.87 real_$less(real_0, real_-2) & ~ real_$less(real_0, real_-1) & ~ % 269.70/47.87 real_$less(real_0, real_0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 269.70/47.87 : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ % 269.70/47.87 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & % 269.70/47.87 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 269.70/47.87 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2, % 269.70/47.87 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1: % 269.70/47.87 $real] : ! [v2: $real] : ! [v3: $real] : ( ~ (real_$sum(v1, v2) = v3) | ~ % 269.70/47.87 (real_$uminus(v0) = v2) | real_$difference(v1, v0) = v3) & ! [v0: $real] : % 269.70/47.87 ! [v1: $real] : ! [v2: $real] : (v2 = real_0 | ~ (real_$sum(v0, v1) = v2) | % 269.70/47.87 ~ (real_$uminus(v0) = v1)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 269.70/47.87 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 269.70/47.87 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) % 269.70/47.87 | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 269.70/47.87 $real] : ( ~ real_$lesseq(v2, v1) | ~ real_$lesseq(v1, v0) | % 269.70/47.87 real_$lesseq(v2, v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( % 269.70/47.87 ~ real_$lesseq(v2, v1) | ~ real_$less(v1, v0) | real_$less(v2, v0)) & ! % 269.70/47.87 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ real_$lesseq(v1, v0) | ~ % 269.70/47.87 real_$less(v2, v1) | real_$less(v2, v0)) & ! [v0: $real] : ! [v1: $real] : % 269.70/47.87 (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] % 269.70/47.87 : (v1 = v0 | ~ real_$lesseq(v1, v0) | real_$less(v1, v0)) & ! [v0: $real] : % 269.70/47.87 ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: % 269.70/47.87 $real] : ! [v1: $real] : ( ~ real_$greatereq(v0, v1) | real_$lesseq(v1, % 269.70/47.87 v0)) & ! [v0: $real] : ! [v1: $real] : ( ~ real_$greater(v0, v1) | % 269.70/47.87 real_$less(v1, v0)) & ! [v0: $real] : ! [v1: $real] : ( ~ real_$lesseq(v1, % 269.70/47.87 v0) | real_$greatereq(v0, v1)) & ! [v0: $real] : ! [v1: $real] : ( ~ % 269.70/47.87 real_$less(v1, v0) | real_$greater(v0, v1)) & ! [v0: $real] : ! [v1: % 269.70/47.87 $real] : ( ~ real_$less(v1, v0) | real_$lesseq(v1, v0)) & ! [v0: $real] : % 269.70/47.87 (v0 = real_0 | ~ (real_$uminus(v0) = v0)) & ? [v0: $real] : real_$lesseq(v0, % 269.70/47.87 v0) % 269.70/47.87 % 269.70/47.87 (function-axioms) % 269.70/47.88 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 269.70/47.88 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 269.70/47.88 [v0: S9] : ! [v1: S9] : ! [v2: S10] : ! [v3: S26] : (v1 = v0 | ~ (f66(v3, % 269.70/47.88 v2) = v1) | ~ (f66(v3, v2) = v0)) & ! [v0: S8] : ! [v1: S8] : ! [v2: % 269.70/47.88 int] : ! [v3: S25] : (v1 = v0 | ~ (f63(v3, v2) = v1) | ~ (f63(v3, v2) = % 269.70/47.88 v0)) & ! [v0: S13] : ! [v1: S13] : ! [v2: $real] : ! [v3: S24] : (v1 = % 269.70/47.88 v0 | ~ (f59(v3, v2) = v1) | ~ (f59(v3, v2) = v0)) & ! [v0: S1] : ! [v1: % 269.70/47.88 S1] : ! [v2: S2] : ! [v3: S22] : (v1 = v0 | ~ (f58(v3, v2) = v1) | ~ % 269.70/47.88 (f58(v3, v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! [v2: S10] : ! [v3: % 269.70/47.88 S21] : (v1 = v0 | ~ (f57(v3, v2) = v1) | ~ (f57(v3, v2) = v0)) & ! [v0: % 269.70/47.88 S1] : ! [v1: S1] : ! [v2: $real] : ! [v3: S20] : (v1 = v0 | ~ (f56(v3, % 269.70/47.88 v2) = v1) | ~ (f56(v3, v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! [v2: % 269.70/47.88 int] : ! [v3: S19] : (v1 = v0 | ~ (f55(v3, v2) = v1) | ~ (f55(v3, v2) = % 269.70/47.88 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : % 269.70/47.88 (v1 = v0 | ~ (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = % 269.70/47.88 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : % 269.70/47.88 (v1 = v0 | ~ (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! % 269.70/47.88 [v0: S14] : ! [v1: S14] : ! [v2: $real] : ! [v3: S23] : (v1 = v0 | ~ % 269.70/47.88 (f49(v3, v2) = v1) | ~ (f49(v3, v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! % 269.70/47.88 [v2: S22] : ! [v3: S2] : (v1 = v0 | ~ (f47(v3, v2) = v1) | ~ (f47(v3, v2) = % 269.70/47.88 v0)) & ! [v0: S1] : ! [v1: S1] : ! [v2: S21] : ! [v3: S10] : (v1 = v0 % 269.70/47.88 | ~ (f45(v3, v2) = v1) | ~ (f45(v3, v2) = v0)) & ! [v0: S1] : ! [v1: S1] % 269.70/47.88 : ! [v2: S20] : ! [v3: $real] : (v1 = v0 | ~ (f43(v3, v2) = v1) | ~ % 269.70/47.88 (f43(v3, v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! [v2: S19] : ! [v3: % 269.70/47.88 int] : (v1 = v0 | ~ (f41(v3, v2) = v1) | ~ (f41(v3, v2) = v0)) & ! [v0: % 269.70/47.88 S17] : ! [v1: S17] : ! [v2: S10] : ! [v3: S18] : (v1 = v0 | ~ (f39(v3, % 269.70/47.88 v2) = v1) | ~ (f39(v3, v2) = v0)) & ! [v0: $real] : ! [v1: $real] : % 269.70/47.88 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$product(v3, v2) = v1) | % 269.70/47.88 ~ (real_$product(v3, v2) = v0)) & ! [v0: S10] : ! [v1: S10] : ! [v2: S10] % 269.70/47.88 : ! [v3: S17] : (v1 = v0 | ~ (f34(v3, v2) = v1) | ~ (f34(v3, v2) = v0)) & % 269.70/47.88 ! [v0: $real] : ! [v1: $real] : ! [v2: S10] : ! [v3: S16] : (v1 = v0 | ~ % 269.70/47.88 (f27(v3, v2) = v1) | ~ (f27(v3, v2) = v0)) & ! [v0: S2] : ! [v1: S2] : ! % 269.70/47.88 [v2: S10] : ! [v3: S15] : (v1 = v0 | ~ (f25(v3, v2) = v1) | ~ (f25(v3, v2) % 269.70/47.88 = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: S14] : % 269.70/47.88 (v1 = v0 | ~ (f22(v3, v2) = v1) | ~ (f22(v3, v2) = v0)) & ! [v0: S10] : ! % 269.70/47.88 [v1: S10] : ! [v2: S2] : ! [v3: S9] : (v1 = v0 | ~ (f13(v3, v2) = v1) | ~ % 269.70/47.88 (f13(v3, v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: S2] : ! % 269.70/47.88 [v3: S13] : (v1 = v0 | ~ (f19(v3, v2) = v1) | ~ (f19(v3, v2) = v0)) & ! % 269.70/47.88 [v0: S11] : ! [v1: S11] : ! [v2: $real] : ! [v3: S12] : (v1 = v0 | ~ % 269.70/47.88 (f17(v3, v2) = v1) | ~ (f17(v3, v2) = v0)) & ! [v0: S10] : ! [v1: S10] : % 269.70/47.88 ! [v2: $real] : ! [v3: S11] : (v1 = v0 | ~ (f16(v3, v2) = v1) | ~ (f16(v3, % 269.70/47.88 v2) = v0)) & ! [v0: S6] : ! [v1: S6] : ! [v2: int] : ! [v3: S7] : % 269.70/47.88 (v1 = v0 | ~ (f9(v3, v2) = v1) | ~ (f9(v3, v2) = v0)) & ! [v0: int] : ! % 269.70/47.88 [v1: int] : ! [v2: S2] : ! [v3: S8] : (v1 = v0 | ~ (f11(v3, v2) = v1) | ~ % 269.70/47.88 (f11(v3, v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: % 269.70/47.88 S6] : (v1 = v0 | ~ (f8(v3, v2) = v1) | ~ (f8(v3, v2) = v0)) & ! [v0: S3] % 269.70/47.88 : ! [v1: S3] : ! [v2: S2] : ! [v3: S4] : (v1 = v0 | ~ (f4(v3, v2) = v1) | % 269.70/47.88 ~ (f4(v3, v2) = v0)) & ! [v0: S2] : ! [v1: S2] : ! [v2: S2] : ! [v3: S3] % 269.70/47.88 : (v1 = v0 | ~ (f3(v3, v2) = v1) | ~ (f3(v3, v2) = v0)) & ! [v0: S2] : ! % 269.70/47.88 [v1: S2] : ! [v2: int] : ! [v3: S5] : (v1 = v0 | ~ (f6(v3, v2) = v1) | ~ % 269.70/47.88 (f6(v3, v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 % 269.70/47.88 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) & ! [v0: % 269.70/47.88 $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$ceiling(v2) % 269.70/47.88 = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : % 269.70/47.88 ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~ % 269.70/47.88 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 269.70/47.88 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) & % 269.70/47.88 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) % 269.70/47.88 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 269.70/47.88 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = % 269.70/47.88 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 269.70/47.88 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : % 269.70/47.88 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ % 269.70/47.88 (int_$to_real(v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! [v2: S16] : (v1 = % 269.70/47.88 v0 | ~ (f38(v2) = v1) | ~ (f38(v2) = v0)) & ! [v0: S1] : ! [v1: S1] : ! % 269.70/47.88 [v2: S17] : (v1 = v0 | ~ (f37(v2) = v1) | ~ (f37(v2) = v0)) & ! [v0: $real] % 269.70/47.88 : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ % 269.70/47.88 (real_$uminus(v2) = v0)) % 269.70/47.88 % 269.70/47.88 Further assumptions not needed in the proof: % 269.70/47.88 -------------------------------------------- % 269.70/47.89 formula_1, formula_10, formula_100, formula_101, formula_102, formula_103, % 269.70/47.89 formula_104, formula_105, formula_106, formula_107, formula_108, formula_109, % 269.70/47.89 formula_11, formula_110, formula_111, formula_112, formula_113, formula_114, % 269.70/47.89 formula_115, formula_116, formula_117, formula_118, formula_119, formula_120, % 269.70/47.89 formula_121, formula_122, formula_123, formula_124, formula_125, formula_126, % 269.70/47.89 formula_127, formula_128, formula_129, formula_13, formula_130, formula_131, % 269.70/47.89 formula_132, formula_133, formula_134, formula_135, formula_136, formula_137, % 269.70/47.89 formula_138, formula_139, formula_14, formula_140, formula_141, formula_142, % 269.70/47.89 formula_143, formula_144, formula_145, formula_146, formula_147, formula_148, % 269.70/47.89 formula_149, formula_15, formula_150, formula_151, formula_152, formula_153, % 269.70/47.89 formula_154, formula_155, formula_156, formula_157, formula_158, formula_159, % 269.70/47.89 formula_160, formula_161, formula_162, formula_163, formula_164, formula_165, % 269.70/47.89 formula_166, formula_167, formula_168, formula_169, formula_170, formula_171, % 269.70/47.89 formula_172, formula_173, formula_174, formula_175, formula_176, formula_177, % 269.70/47.89 formula_178, formula_179, formula_18, formula_180, formula_181, formula_182, % 269.70/47.89 formula_183, formula_184, formula_185, formula_186, formula_187, formula_188, % 269.70/47.89 formula_189, formula_19, formula_190, formula_191, formula_192, formula_193, % 269.70/47.89 formula_194, formula_195, formula_196, formula_197, formula_198, formula_199, % 269.70/47.89 formula_2, formula_20, formula_200, formula_201, formula_202, formula_203, % 269.70/47.89 formula_204, formula_205, formula_206, formula_207, formula_208, formula_209, % 269.70/47.89 formula_21, formula_210, formula_211, formula_212, formula_213, formula_214, % 269.70/47.89 formula_215, formula_216, formula_217, formula_218, formula_219, formula_22, % 269.70/47.89 formula_220, formula_221, formula_222, formula_223, formula_224, formula_225, % 269.70/47.89 formula_226, formula_227, formula_228, formula_229, formula_23, formula_230, % 269.70/47.89 formula_231, formula_232, formula_233, formula_234, formula_235, formula_236, % 269.70/47.89 formula_237, formula_238, formula_239, formula_24, formula_240, formula_241, % 269.70/47.89 formula_242, formula_243, formula_244, formula_245, formula_246, formula_247, % 269.70/47.89 formula_248, formula_249, formula_25, formula_250, formula_251, formula_252, % 269.70/47.89 formula_253, formula_254, formula_255, formula_256, formula_257, formula_258, % 269.70/47.89 formula_259, formula_26, formula_260, formula_261, formula_262, formula_263, % 269.70/47.89 formula_264, formula_265, formula_266, formula_267, formula_268, formula_269, % 269.70/47.89 formula_27, formula_270, formula_271, formula_272, formula_273, formula_274, % 269.70/47.89 formula_275, formula_276, formula_277, formula_278, formula_279, formula_28, % 269.70/47.89 formula_280, formula_281, formula_282, formula_283, formula_284, formula_285, % 269.70/47.89 formula_286, formula_287, formula_288, formula_289, formula_29, formula_290, % 269.70/47.89 formula_291, formula_292, formula_293, formula_294, formula_295, formula_296, % 269.70/47.89 formula_297, formula_298, formula_299, formula_30, formula_300, formula_301, % 269.70/47.89 formula_302, formula_303, formula_304, formula_305, formula_306, formula_307, % 269.70/47.89 formula_308, formula_309, formula_31, formula_310, formula_311, formula_312, % 269.70/47.89 formula_313, formula_314, formula_315, formula_316, formula_317, formula_318, % 269.70/47.89 formula_319, formula_32, formula_320, formula_321, formula_322, formula_323, % 269.70/47.89 formula_324, formula_325, formula_326, formula_327, formula_328, formula_329, % 269.70/47.89 formula_33, formula_330, formula_331, formula_332, formula_333, formula_334, % 269.70/47.89 formula_335, formula_336, formula_337, formula_338, formula_339, formula_34, % 269.70/47.89 formula_340, formula_341, formula_342, formula_343, formula_344, formula_345, % 269.70/47.89 formula_346, formula_347, formula_348, formula_349, formula_35, formula_350, % 269.70/47.89 formula_351, formula_352, formula_353, formula_354, formula_355, formula_356, % 269.70/47.89 formula_357, formula_358, formula_359, formula_36, formula_360, formula_361, % 269.70/47.89 formula_362, formula_363, formula_364, formula_365, formula_366, formula_367, % 269.70/47.89 formula_368, formula_369, formula_37, formula_370, formula_371, formula_372, % 269.70/47.89 formula_373, formula_374, formula_375, formula_376, formula_377, formula_378, % 269.70/47.89 formula_379, formula_380, formula_381, formula_382, formula_383, formula_384, % 269.70/47.89 formula_385, formula_386, formula_387, formula_388, formula_389, formula_390, % 269.70/47.89 formula_391, formula_392, formula_393, formula_394, formula_395, formula_396, % 269.70/47.89 formula_397, formula_398, formula_399, formula_4, formula_40, formula_400, % 269.70/47.89 formula_401, formula_402, formula_403, formula_404, formula_405, formula_406, % 269.70/47.89 formula_407, formula_408, formula_409, formula_410, formula_411, formula_412, % 269.70/47.89 formula_413, formula_414, formula_415, formula_416, formula_417, formula_418, % 269.70/47.89 formula_419, formula_42, formula_420, formula_421, formula_422, formula_423, % 269.70/47.89 formula_424, formula_425, formula_426, formula_427, formula_428, formula_429, % 269.70/47.89 formula_43, formula_430, formula_431, formula_432, formula_433, formula_434, % 269.70/47.89 formula_435, formula_436, formula_437, formula_438, formula_439, formula_44, % 269.70/47.89 formula_440, formula_441, formula_442, formula_443, formula_444, formula_445, % 269.70/47.89 formula_446, formula_447, formula_448, formula_449, formula_45, formula_450, % 269.70/47.89 formula_451, formula_452, formula_453, formula_454, formula_455, formula_456, % 269.70/47.89 formula_46, formula_47, formula_48, formula_49, formula_5, formula_50, % 269.70/47.89 formula_51, formula_52, formula_53, formula_54, formula_55, formula_56, % 269.70/47.89 formula_57, formula_58, formula_59, formula_6, formula_60, formula_61, % 269.70/47.89 formula_62, formula_63, formula_64, formula_65, formula_66, formula_67, % 269.70/47.89 formula_68, formula_69, formula_7, formula_70, formula_71, formula_72, % 269.70/47.89 formula_73, formula_74, formula_75, formula_76, formula_77, formula_78, % 269.70/47.89 formula_79, formula_8, formula_80, formula_81, formula_82, formula_83, % 269.70/47.89 formula_84, formula_85, formula_86, formula_87, formula_88, formula_89, % 269.70/47.89 formula_9, formula_90, formula_91, formula_92, formula_93, formula_94, % 269.70/47.89 formula_95, formula_96, formula_97, formula_98, formula_99 % 269.70/47.89 % 269.70/47.89 Those formulas are unsatisfiable: % 269.70/47.89 --------------------------------- % 269.70/47.89 % 269.70/47.89 Begin of proof % 269.70/47.89 | % 269.70/47.89 | ALPHA: (formula_3) implies: % 269.70/47.89 | (1) S2(f15) % 269.70/47.89 | (2) ? [v0: S10] : ? [v1: $real] : ? [v2: S11] : ? [v3: S10] : ( ~ (v3 = % 269.70/47.89 | v0) & f13(f14, f15) = v0 & f19(f20, f15) = v1 & f17(f18, v1) = v2 & % 269.70/47.89 | f16(v2, real_0) = v3 & S11(v2) & S10(v3) & S10(v0)) % 269.70/47.89 | % 269.70/47.89 | ALPHA: (formula_12) implies: % 269.70/47.89 | (3) ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) = v1) | ~ S2(v0) | ? % 269.70/47.89 | [v2: $real] : (f27(f28, v1) = v2 & f19(f20, v0) = v2)) % 269.70/47.89 | % 269.70/47.89 | ALPHA: (formula_16) implies: % 269.70/47.89 | (4) ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) = v1) | ~ S2(v0) | ? % 269.70/47.89 | [v2: $real] : (f27(f31, v1) = v2 & f19(f20, v0) = v2)) % 269.70/47.89 | % 269.70/47.89 | ALPHA: (formula_17) implies: % 269.70/47.89 | (5) ! [v0: S2] : ! [v1: S10] : ( ~ (f13(f14, v0) = v1) | ~ S2(v0) | ? % 269.70/47.89 | [v2: $real] : (f19(f20, v0) = v2 & f16(f32, v2) = v1 & S10(v1))) % 269.70/47.89 | % 269.70/47.89 | ALPHA: (formula_38) implies: % 269.70/47.89 | (6) ! [v0: $real] : ! [v1: S11] : ! [v2: S10] : ! [v3: S10] : (v3 = v2 % 269.70/47.90 | | ~ (f17(f18, v0) = v1) | ~ (f16(v1, real_0) = v2) | ~ (f16(f32, % 269.70/47.90 | v0) = v3)) % 269.70/47.90 | % 269.70/47.90 | ALPHA: (formula_39) implies: % 269.70/47.90 | (7) ! [v0: $real] : ! [v1: S11] : ( ~ (f17(f18, v0) = v1) | ? [v2: S10] % 269.70/47.90 | : (f16(v1, real_0) = v2 & f16(f32, v0) = v2 & S10(v2))) % 269.70/47.90 | % 269.70/47.90 | ALPHA: (formula_41) implies: % 269.70/47.90 | (8) ! [v0: $real] : ! [v1: $real] : ! [v2: S11] : ! [v3: $real] : ( ~ % 269.70/47.90 | (real_$uminus(v1) = v3) | ~ (f17(f18, v0) = v2) | ? [v4: S10] : ? % 269.70/47.90 | [v5: S10] : (f34(f35, v4) = v5 & f16(v2, v3) = v5 & f16(v2, v1) = v4 % 269.70/47.90 | & S11(v2) & S10(v5) & S10(v4))) % 269.70/47.90 | % 269.70/47.90 | ALPHA: (function-axioms) implies: % 269.70/47.90 | (9) ! [v0: S10] : ! [v1: S10] : ! [v2: $real] : ! [v3: S11] : (v1 = v0 % 269.70/47.90 | | ~ (f16(v3, v2) = v1) | ~ (f16(v3, v2) = v0)) % 269.70/47.90 | (10) ! [v0: $real] : ! [v1: $real] : ! [v2: S2] : ! [v3: S13] : (v1 = % 269.70/47.90 | v0 | ~ (f19(v3, v2) = v1) | ~ (f19(v3, v2) = v0)) % 269.70/47.90 | % 269.70/47.90 | ALPHA: (input) implies: % 269.70/47.90 | (11) real_$uminus(real_0) = real_0 % 269.70/47.90 | % 269.70/47.90 | DELTA: instantiating (2) with fresh symbols all_504_0, all_504_1, all_504_2, % 269.70/47.90 | all_504_3 gives: % 269.70/47.90 | (12) ~ (all_504_0 = all_504_3) & f13(f14, f15) = all_504_3 & f19(f20, f15) % 269.70/47.90 | = all_504_2 & f17(f18, all_504_2) = all_504_1 & f16(all_504_1, real_0) % 269.70/47.90 | = all_504_0 & S11(all_504_1) & S10(all_504_0) & S10(all_504_3) % 269.70/47.90 | % 269.70/47.90 | ALPHA: (12) implies: % 269.70/47.90 | (13) ~ (all_504_0 = all_504_3) % 269.70/47.90 | (14) f16(all_504_1, real_0) = all_504_0 % 269.70/47.90 | (15) f17(f18, all_504_2) = all_504_1 % 269.70/47.90 | (16) f19(f20, f15) = all_504_2 % 269.70/47.90 | (17) f13(f14, f15) = all_504_3 % 269.70/47.90 | % 269.70/47.90 | GROUND_INST: instantiating (7) with all_504_2, all_504_1, simplifying with % 269.70/47.90 | (15) gives: % 269.70/47.91 | (18) ? [v0: S10] : (f16(all_504_1, real_0) = v0 & f16(f32, all_504_2) = v0 % 269.70/47.91 | & S10(v0)) % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (3) with f15, all_504_3, simplifying with (1), (17) % 269.70/47.91 | gives: % 269.70/47.91 | (19) ? [v0: $real] : (f27(f28, all_504_3) = v0 & f19(f20, f15) = v0) % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (4) with f15, all_504_3, simplifying with (1), (17) % 269.70/47.91 | gives: % 269.70/47.91 | (20) ? [v0: $real] : (f27(f31, all_504_3) = v0 & f19(f20, f15) = v0) % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (5) with f15, all_504_3, simplifying with (1), (17) % 269.70/47.91 | gives: % 269.70/47.91 | (21) ? [v0: $real] : (f19(f20, f15) = v0 & f16(f32, v0) = all_504_3 & % 269.70/47.91 | S10(all_504_3)) % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (8) with all_504_2, real_0, all_504_1, real_0, % 269.70/47.91 | simplifying with (11), (15) gives: % 269.70/47.91 | (22) ? [v0: S10] : ? [v1: S10] : (f34(f35, v0) = v1 & f16(all_504_1, % 269.70/47.91 | real_0) = v1 & f16(all_504_1, real_0) = v0 & S11(all_504_1) & % 269.70/47.91 | S10(v1) & S10(v0)) % 269.70/47.91 | % 269.70/47.91 | DELTA: instantiating (20) with fresh symbol all_725_0 gives: % 269.70/47.91 | (23) f27(f31, all_504_3) = all_725_0 & f19(f20, f15) = all_725_0 % 269.70/47.91 | % 269.70/47.91 | ALPHA: (23) implies: % 269.70/47.91 | (24) f19(f20, f15) = all_725_0 % 269.70/47.91 | % 269.70/47.91 | DELTA: instantiating (19) with fresh symbol all_867_0 gives: % 269.70/47.91 | (25) f27(f28, all_504_3) = all_867_0 & f19(f20, f15) = all_867_0 % 269.70/47.91 | % 269.70/47.91 | ALPHA: (25) implies: % 269.70/47.91 | (26) f19(f20, f15) = all_867_0 % 269.70/47.91 | % 269.70/47.91 | DELTA: instantiating (18) with fresh symbol all_1271_0 gives: % 269.70/47.91 | (27) f16(all_504_1, real_0) = all_1271_0 & f16(f32, all_504_2) = all_1271_0 % 269.70/47.91 | & S10(all_1271_0) % 269.70/47.91 | % 269.70/47.91 | ALPHA: (27) implies: % 269.70/47.91 | (28) f16(f32, all_504_2) = all_1271_0 % 269.70/47.91 | % 269.70/47.91 | DELTA: instantiating (21) with fresh symbol all_2643_0 gives: % 269.70/47.91 | (29) f19(f20, f15) = all_2643_0 & f16(f32, all_2643_0) = all_504_3 & % 269.70/47.91 | S10(all_504_3) % 269.70/47.91 | % 269.70/47.91 | ALPHA: (29) implies: % 269.70/47.91 | (30) f16(f32, all_2643_0) = all_504_3 % 269.70/47.91 | (31) f19(f20, f15) = all_2643_0 % 269.70/47.91 | % 269.70/47.91 | DELTA: instantiating (22) with fresh symbols all_3291_0, all_3291_1 gives: % 269.70/47.91 | (32) f34(f35, all_3291_1) = all_3291_0 & f16(all_504_1, real_0) = % 269.70/47.91 | all_3291_0 & f16(all_504_1, real_0) = all_3291_1 & S11(all_504_1) & % 269.70/47.91 | S10(all_3291_0) & S10(all_3291_1) % 269.70/47.91 | % 269.70/47.91 | ALPHA: (32) implies: % 269.70/47.91 | (33) f16(all_504_1, real_0) = all_3291_1 % 269.70/47.91 | (34) f16(all_504_1, real_0) = all_3291_0 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (9) with all_504_0, all_3291_0, real_0, all_504_1, % 269.70/47.91 | simplifying with (14), (34) gives: % 269.70/47.91 | (35) all_3291_0 = all_504_0 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (9) with all_3291_1, all_3291_0, real_0, all_504_1, % 269.70/47.91 | simplifying with (33), (34) gives: % 269.70/47.91 | (36) all_3291_0 = all_3291_1 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (6) with all_504_2, all_504_1, all_3291_0, % 269.70/47.91 | all_1271_0, simplifying with (15), (28), (34) gives: % 269.70/47.91 | (37) all_3291_0 = all_1271_0 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (10) with all_504_2, all_867_0, f15, f20, % 269.70/47.91 | simplifying with (16), (26) gives: % 269.70/47.91 | (38) all_867_0 = all_504_2 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (10) with all_867_0, all_2643_0, f15, f20, % 269.70/47.91 | simplifying with (26), (31) gives: % 269.70/47.91 | (39) all_2643_0 = all_867_0 % 269.70/47.91 | % 269.70/47.91 | GROUND_INST: instantiating (10) with all_725_0, all_2643_0, f15, f20, % 269.70/47.91 | simplifying with (24), (31) gives: % 269.70/47.91 | (40) all_2643_0 = all_725_0 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (35), (36) imply: % 269.70/47.91 | (41) all_3291_1 = all_504_0 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (36), (37) imply: % 269.70/47.91 | (42) all_3291_1 = all_1271_0 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (41), (42) imply: % 269.70/47.91 | (43) all_1271_0 = all_504_0 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (39), (40) imply: % 269.70/47.91 | (44) all_867_0 = all_725_0 % 269.70/47.91 | % 269.70/47.91 | SIMP: (44) implies: % 269.70/47.91 | (45) all_867_0 = all_725_0 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (38), (45) imply: % 269.70/47.91 | (46) all_725_0 = all_504_2 % 269.70/47.91 | % 269.70/47.91 | SIMP: (46) implies: % 269.70/47.91 | (47) all_725_0 = all_504_2 % 269.70/47.91 | % 269.70/47.91 | COMBINE_EQS: (40), (47) imply: % 269.70/47.91 | (48) all_2643_0 = all_504_2 % 269.70/47.91 | % 269.70/47.91 | REDUCE: (30), (48) imply: % 269.70/47.91 | (49) f16(f32, all_504_2) = all_504_3 % 269.70/47.92 | % 269.70/47.92 | REDUCE: (28), (43) imply: % 269.70/47.92 | (50) f16(f32, all_504_2) = all_504_0 % 269.70/47.92 | % 269.70/47.92 | GROUND_INST: instantiating (9) with all_504_3, all_504_0, all_504_2, f32, % 269.70/47.92 | simplifying with (49), (50) gives: % 269.70/47.92 | (51) all_504_0 = all_504_3 % 269.70/47.92 | % 269.70/47.92 | REDUCE: (13), (51) imply: % 269.70/47.92 | (52) $false % 269.70/47.92 | % 269.70/47.92 | CLOSE: (52) is inconsistent. % 269.70/47.92 | % 269.70/47.92 End of proof % 269.70/47.92 % SZS output end Proof for theBenchmark % 269.70/47.92 % 269.70/47.92 47249ms %------------------------------------------------------------------------------