%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI446_1 : TPTP v8.1.2. Released v5.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n007.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 : Wed Aug 30 17:48:04 EDT 2023 % Result : Theorem 6.59s 1.57s % Output : Proof 16.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : ARI446_1 : TPTP v8.1.2. Released v5.0.0. % 0.04/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Tue Aug 29 17:43:44 EDT 2023 % 0.13/0.35 % CPUTime : % 0.51/0.61 ________ _____ % 0.51/0.61 ___ __ \_________(_)________________________________ % 0.51/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.51/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.51/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.51/0.61 % 0.51/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.51/0.61 (2023-06-19) % 0.51/0.61 % 0.51/0.61 (c) Philipp Rümmer, 2009-2023 % 0.51/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.51/0.61 Amanda Stjerna. % 0.51/0.61 Free software under BSD-3-Clause. % 0.51/0.61 % 0.51/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.51/0.61 % 0.51/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.51/0.62 Running up to 7 provers in parallel. % 0.73/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.73/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.73/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.73/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.73/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.73/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.73/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.49/0.91 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.91 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.91 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.91 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.92 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.92 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.49/0.92 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 2.29/1.00 Prover 4: Preprocessing ... % 2.29/1.01 Prover 1: Preprocessing ... % 2.94/1.09 Prover 0: Preprocessing ... % 2.94/1.09 Prover 6: Preprocessing ... % 5.12/1.40 Prover 5: Preprocessing ... % 5.12/1.40 Prover 2: Preprocessing ... % 5.12/1.42 Prover 3: Preprocessing ... % 5.89/1.53 Prover 0: Constructing countermodel ... % 5.89/1.53 Prover 6: Constructing countermodel ... % 6.59/1.57 Prover 6: proved (931ms) % 6.59/1.57 % 6.59/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.59/1.57 % 6.59/1.58 Prover 0: proved (938ms) % 6.59/1.58 % 6.59/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.59/1.58 % 6.59/1.59 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.59/1.59 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 6.59/1.59 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.59/1.59 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 6.59/1.60 Prover 8: Preprocessing ... % 7.29/1.70 Prover 4: Constructing countermodel ... % 7.29/1.70 Prover 1: Constructing countermodel ... % 8.03/1.81 Prover 8: Warning: ignoring some quantifiers % 8.03/1.82 Prover 1: Found proof (size 3) % 8.03/1.82 Prover 1: proved (1189ms) % 8.03/1.82 Prover 8: Constructing countermodel ... % 8.46/1.83 Prover 4: Found proof (size 3) % 8.46/1.83 Prover 4: proved (1196ms) % 8.46/1.83 Prover 8: stopped % 8.46/1.83 Prover 7: Preprocessing ... % 10.69/2.14 Prover 2: stopped % 11.69/2.30 Prover 7: stopped % 14.31/2.80 Prover 5: Constructing countermodel ... % 14.31/2.80 Prover 5: stopped % 15.35/3.06 Prover 3: Constructing countermodel ... % 15.35/3.06 Prover 3: stopped % 15.35/3.06 % 15.35/3.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.35/3.06 % 15.35/3.06 % SZS output start Proof for theBenchmark % 15.35/3.07 Assumptions after simplification: % 15.35/3.07 --------------------------------- % 15.35/3.07 % 15.35/3.07 (real_product_problem_11) % 15.61/3.07 real_12500 = real_12000 % 15.61/3.07 % 15.61/3.07 (input) % 16.02/3.16 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_12500) & % 16.02/3.16 ~ (real_very_large = real_12000) & ~ (real_very_large = real_5/2) & ~ % 16.02/3.16 (real_very_large = real_5000) & ~ (real_very_large = real_0) & ~ % 16.02/3.16 (real_very_small = real_12500) & ~ (real_very_small = real_12000) & ~ % 16.02/3.16 (real_very_small = real_5/2) & ~ (real_very_small = real_5000) & ~ % 16.02/3.16 (real_very_small = real_0) & ~ (real_12500 = real_12000) & ~ (real_12500 = % 16.02/3.16 real_5/2) & ~ (real_12500 = real_5000) & ~ (real_12500 = real_0) & ~ % 16.02/3.16 (real_12000 = real_5/2) & ~ (real_12000 = real_5000) & ~ (real_12000 = % 16.02/3.16 real_0) & ~ (real_5/2 = real_5000) & ~ (real_5/2 = real_0) & ~ (real_5000 % 16.02/3.16 = real_0) & real_$is_int(real_12500) = 0 & real_$is_int(real_12000) = 0 & % 16.02/3.16 real_$is_int(real_5/2) = 1 & real_$is_int(real_5000) = 0 & % 16.02/3.16 real_$is_int(real_0) = 0 & real_$is_rat(real_12500) = 0 & % 16.02/3.16 real_$is_rat(real_12000) = 0 & real_$is_rat(real_5/2) = 0 & % 16.02/3.16 real_$is_rat(real_5000) = 0 & real_$is_rat(real_0) = 0 & % 16.02/3.16 real_$floor(real_12500) = real_12500 & real_$floor(real_12000) = real_12000 & % 16.02/3.16 real_$floor(real_5000) = real_5000 & real_$floor(real_0) = real_0 & % 16.02/3.16 real_$ceiling(real_12500) = real_12500 & real_$ceiling(real_12000) = % 16.02/3.16 real_12000 & real_$ceiling(real_5000) = real_5000 & real_$ceiling(real_0) = % 16.02/3.16 real_0 & real_$truncate(real_12500) = real_12500 & real_$truncate(real_12000) % 16.02/3.16 = real_12000 & real_$truncate(real_5000) = real_5000 & real_$truncate(real_0) % 16.02/3.16 = real_0 & real_$round(real_12500) = real_12500 & real_$round(real_12000) = % 16.02/3.16 real_12000 & real_$round(real_5000) = real_5000 & real_$round(real_0) = real_0 % 16.02/3.16 & real_$to_int(real_12500) = 12500 & real_$to_int(real_12000) = 12000 & % 16.02/3.16 real_$to_int(real_5/2) = 2 & real_$to_int(real_5000) = 5000 & % 16.02/3.16 real_$to_int(real_0) = 0 & real_$to_rat(real_12500) = rat_12500 & % 16.02/3.16 real_$to_rat(real_12000) = rat_12000 & real_$to_rat(real_5/2) = rat_5/2 & % 16.02/3.16 real_$to_rat(real_5000) = rat_5000 & real_$to_rat(real_0) = rat_0 & % 16.02/3.16 real_$to_real(real_12500) = real_12500 & real_$to_real(real_12000) = % 16.02/3.16 real_12000 & real_$to_real(real_5/2) = real_5/2 & real_$to_real(real_5000) = % 16.02/3.16 real_5000 & real_$to_real(real_0) = real_0 & int_$to_real(12500) = real_12500 % 16.02/3.16 & int_$to_real(12000) = real_12000 & int_$to_real(5000) = real_5000 & % 16.02/3.16 int_$to_real(0) = real_0 & real_$quotient(real_12500, real_5/2) = real_5000 & % 16.02/3.16 real_$quotient(real_12500, real_5000) = real_5/2 & real_$quotient(real_0, % 16.02/3.16 real_12500) = real_0 & real_$quotient(real_0, real_12000) = real_0 & % 16.02/3.16 real_$quotient(real_0, real_5/2) = real_0 & real_$quotient(real_0, real_5000) % 16.02/3.16 = real_0 & real_$product(real_12500, real_0) = real_0 & % 16.02/3.16 real_$product(real_12000, real_0) = real_0 & real_$product(real_5/2, % 16.02/3.16 real_5000) = real_12500 & real_$product(real_5/2, real_0) = real_0 & % 16.02/3.16 real_$product(real_5000, real_5/2) = real_12500 & real_$product(real_5000, % 16.02/3.16 real_0) = real_0 & real_$product(real_0, real_12500) = real_0 & % 16.02/3.16 real_$product(real_0, real_12000) = real_0 & real_$product(real_0, real_5/2) = % 16.02/3.16 real_0 & real_$product(real_0, real_5000) = real_0 & real_$product(real_0, % 16.02/3.17 real_0) = real_0 & real_$difference(real_12500, real_12500) = real_0 & % 16.02/3.17 real_$difference(real_12500, real_0) = real_12500 & % 16.02/3.17 real_$difference(real_12000, real_12000) = real_0 & % 16.02/3.17 real_$difference(real_12000, real_0) = real_12000 & real_$difference(real_5/2, % 16.02/3.17 real_5/2) = real_0 & real_$difference(real_5/2, real_0) = real_5/2 & % 16.02/3.17 real_$difference(real_5000, real_5000) = real_0 & real_$difference(real_5000, % 16.02/3.17 real_0) = real_5000 & real_$difference(real_0, real_0) = real_0 & % 16.02/3.17 real_$uminus(real_0) = real_0 & real_$sum(real_12500, real_0) = real_12500 & % 16.02/3.17 real_$sum(real_12000, real_0) = real_12000 & real_$sum(real_5/2, real_0) = % 16.02/3.17 real_5/2 & real_$sum(real_5000, real_0) = real_5000 & real_$sum(real_0, % 16.02/3.17 real_12500) = real_12500 & real_$sum(real_0, real_12000) = real_12000 & % 16.02/3.17 real_$sum(real_0, real_5/2) = real_5/2 & real_$sum(real_0, real_5000) = % 16.02/3.17 real_5000 & real_$sum(real_0, real_0) = real_0 & % 16.02/3.17 real_$greatereq(real_very_small, real_very_large) = 1 & % 16.02/3.17 real_$greatereq(real_12500, real_12500) = 0 & real_$greatereq(real_12500, % 16.02/3.17 real_12000) = 0 & real_$greatereq(real_12500, real_5/2) = 0 & % 16.02/3.17 real_$greatereq(real_12500, real_5000) = 0 & real_$greatereq(real_12500, % 16.02/3.17 real_0) = 0 & real_$greatereq(real_12000, real_12500) = 1 & % 16.02/3.17 real_$greatereq(real_12000, real_12000) = 0 & real_$greatereq(real_12000, % 16.02/3.17 real_5/2) = 0 & real_$greatereq(real_12000, real_5000) = 0 & % 16.02/3.17 real_$greatereq(real_12000, real_0) = 0 & real_$greatereq(real_5/2, % 16.02/3.17 real_12500) = 1 & real_$greatereq(real_5/2, real_12000) = 1 & % 16.02/3.17 real_$greatereq(real_5/2, real_5/2) = 0 & real_$greatereq(real_5/2, real_5000) % 16.02/3.17 = 1 & real_$greatereq(real_5/2, real_0) = 0 & real_$greatereq(real_5000, % 16.02/3.17 real_12500) = 1 & real_$greatereq(real_5000, real_12000) = 1 & % 16.02/3.17 real_$greatereq(real_5000, real_5/2) = 0 & real_$greatereq(real_5000, % 16.02/3.17 real_5000) = 0 & real_$greatereq(real_5000, real_0) = 0 & % 16.02/3.17 real_$greatereq(real_0, real_12500) = 1 & real_$greatereq(real_0, real_12000) % 16.02/3.17 = 1 & real_$greatereq(real_0, real_5/2) = 1 & real_$greatereq(real_0, % 16.02/3.17 real_5000) = 1 & real_$greatereq(real_0, real_0) = 0 & % 16.02/3.17 real_$lesseq(real_very_small, real_very_large) = 0 & real_$lesseq(real_12500, % 16.02/3.17 real_12500) = 0 & real_$lesseq(real_12500, real_12000) = 1 & % 16.02/3.17 real_$lesseq(real_12500, real_5/2) = 1 & real_$lesseq(real_12500, real_5000) = % 16.02/3.17 1 & real_$lesseq(real_12500, real_0) = 1 & real_$lesseq(real_12000, % 16.02/3.17 real_12500) = 0 & real_$lesseq(real_12000, real_12000) = 0 & % 16.02/3.17 real_$lesseq(real_12000, real_5/2) = 1 & real_$lesseq(real_12000, real_5000) = % 16.02/3.17 1 & real_$lesseq(real_12000, real_0) = 1 & real_$lesseq(real_5/2, real_12500) % 16.02/3.17 = 0 & real_$lesseq(real_5/2, real_12000) = 0 & real_$lesseq(real_5/2, % 16.02/3.17 real_5/2) = 0 & real_$lesseq(real_5/2, real_5000) = 0 & % 16.02/3.17 real_$lesseq(real_5/2, real_0) = 1 & real_$lesseq(real_5000, real_12500) = 0 & % 16.02/3.17 real_$lesseq(real_5000, real_12000) = 0 & real_$lesseq(real_5000, real_5/2) = % 16.02/3.17 1 & real_$lesseq(real_5000, real_5000) = 0 & real_$lesseq(real_5000, real_0) = % 16.02/3.17 1 & real_$lesseq(real_0, real_12500) = 0 & real_$lesseq(real_0, real_12000) = % 16.02/3.17 0 & real_$lesseq(real_0, real_5/2) = 0 & real_$lesseq(real_0, real_5000) = 0 & % 16.02/3.17 real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, real_12500) % 16.02/3.17 = 0 & real_$greater(real_very_large, real_12000) = 0 & % 16.02/3.17 real_$greater(real_very_large, real_5/2) = 0 & real_$greater(real_very_large, % 16.02/3.17 real_5000) = 0 & real_$greater(real_very_large, real_0) = 0 & % 16.02/3.17 real_$greater(real_very_small, real_very_large) = 1 & % 16.02/3.17 real_$greater(real_12500, real_very_small) = 0 & real_$greater(real_12500, % 16.02/3.17 real_12500) = 1 & real_$greater(real_12500, real_12000) = 0 & % 16.02/3.17 real_$greater(real_12500, real_5/2) = 0 & real_$greater(real_12500, real_5000) % 16.02/3.17 = 0 & real_$greater(real_12500, real_0) = 0 & real_$greater(real_12000, % 16.02/3.17 real_very_small) = 0 & real_$greater(real_12000, real_12500) = 1 & % 16.02/3.17 real_$greater(real_12000, real_12000) = 1 & real_$greater(real_12000, % 16.02/3.17 real_5/2) = 0 & real_$greater(real_12000, real_5000) = 0 & % 16.02/3.17 real_$greater(real_12000, real_0) = 0 & real_$greater(real_5/2, % 16.02/3.17 real_very_small) = 0 & real_$greater(real_5/2, real_12500) = 1 & % 16.02/3.17 real_$greater(real_5/2, real_12000) = 1 & real_$greater(real_5/2, real_5/2) = % 16.02/3.17 1 & real_$greater(real_5/2, real_5000) = 1 & real_$greater(real_5/2, real_0) = % 16.02/3.17 0 & real_$greater(real_5000, real_very_small) = 0 & real_$greater(real_5000, % 16.02/3.17 real_12500) = 1 & real_$greater(real_5000, real_12000) = 1 & % 16.02/3.17 real_$greater(real_5000, real_5/2) = 0 & real_$greater(real_5000, real_5000) = % 16.02/3.17 1 & real_$greater(real_5000, real_0) = 0 & real_$greater(real_0, % 16.02/3.17 real_very_small) = 0 & real_$greater(real_0, real_12500) = 1 & % 16.02/3.17 real_$greater(real_0, real_12000) = 1 & real_$greater(real_0, real_5/2) = 1 & % 16.02/3.17 real_$greater(real_0, real_5000) = 1 & real_$greater(real_0, real_0) = 1 & % 16.02/3.18 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small, % 16.02/3.18 real_12500) = 0 & real_$less(real_very_small, real_12000) = 0 & % 16.02/3.18 real_$less(real_very_small, real_5/2) = 0 & real_$less(real_very_small, % 16.02/3.18 real_5000) = 0 & real_$less(real_very_small, real_0) = 0 & % 16.02/3.18 real_$less(real_12500, real_very_large) = 0 & real_$less(real_12500, % 16.02/3.18 real_12500) = 1 & real_$less(real_12500, real_12000) = 1 & % 16.02/3.18 real_$less(real_12500, real_5/2) = 1 & real_$less(real_12500, real_5000) = 1 & % 16.02/3.18 real_$less(real_12500, real_0) = 1 & real_$less(real_12000, real_very_large) = % 16.02/3.18 0 & real_$less(real_12000, real_12500) = 0 & real_$less(real_12000, % 16.02/3.18 real_12000) = 1 & real_$less(real_12000, real_5/2) = 1 & % 16.02/3.18 real_$less(real_12000, real_5000) = 1 & real_$less(real_12000, real_0) = 1 & % 16.02/3.18 real_$less(real_5/2, real_very_large) = 0 & real_$less(real_5/2, real_12500) = % 16.02/3.18 0 & real_$less(real_5/2, real_12000) = 0 & real_$less(real_5/2, real_5/2) = 1 % 16.02/3.18 & real_$less(real_5/2, real_5000) = 0 & real_$less(real_5/2, real_0) = 1 & % 16.02/3.18 real_$less(real_5000, real_very_large) = 0 & real_$less(real_5000, real_12500) % 16.02/3.18 = 0 & real_$less(real_5000, real_12000) = 0 & real_$less(real_5000, real_5/2) % 16.02/3.18 = 1 & real_$less(real_5000, real_5000) = 1 & real_$less(real_5000, real_0) = 1 % 16.02/3.18 & real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_12500) = 0 % 16.02/3.18 & real_$less(real_0, real_12000) = 0 & real_$less(real_0, real_5/2) = 0 & % 16.02/3.18 real_$less(real_0, real_5000) = 0 & real_$less(real_0, real_0) = 1 & ! [v0: % 16.02/3.18 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : % 16.02/3.18 ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : % 16.02/3.18 (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! % 16.02/3.18 [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ % 16.02/3.18 (real_$quotient(v2, v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: % 16.02/3.18 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ % 16.02/3.18 (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : % 16.02/3.18 ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] % 16.02/3.18 : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 16.02/3.18 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 16.02/3.18 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 16.02/3.18 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 16.02/3.18 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 16.02/3.18 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = % 16.02/3.18 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ % 16.02/3.18 (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 16.02/3.18 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 16.02/3.18 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: % 16.02/3.18 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : ! % 16.02/3.18 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 16.15/3.18 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 16.15/3.18 [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | % 16.15/3.18 real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 16.15/3.18 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 16.15/3.18 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | % 16.15/3.18 ~ (real_$less(v1, v0) = 0) | real_$less(v2, v0) = 0) & ! [v0: $real] : ! % 16.15/3.18 [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : % 16.15/3.18 ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) % 16.15/3.18 = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | % 16.15/3.18 real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 16.15/3.18 (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : % 16.15/3.18 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 16.15/3.18 ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 16.15/3.18 % 16.15/3.18 Those formulas are unsatisfiable: % 16.15/3.18 --------------------------------- % 16.15/3.18 % 16.15/3.18 Begin of proof % 16.15/3.19 | % 16.15/3.19 | ALPHA: (input) implies: % 16.15/3.19 | (1) ~ (real_12500 = real_12000) % 16.15/3.19 | % 16.15/3.19 | REDUCE: (1), (real_product_problem_11) imply: % 16.15/3.19 | (2) $false % 16.15/3.19 | % 16.15/3.19 | CLOSE: (2) is inconsistent. % 16.15/3.19 | % 16.15/3.19 End of proof % 16.15/3.19 % SZS output end Proof for theBenchmark % 16.15/3.19 % 16.15/3.19 2582ms %------------------------------------------------------------------------------