%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI387_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 : n031.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 17:47:52 EDT 2023 % Result : Theorem 7.54s 1.80s % Output : Proof 13.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.10 % Problem : ARI387_1 : TPTP v8.1.2. Released v5.0.0. % 0.11/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.31 % Computer : n031.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Tue Aug 29 18:21:41 EDT 2023 % 0.11/0.32 % CPUTime : % 0.17/0.60 ________ _____ % 0.17/0.60 ___ __ \_________(_)________________________________ % 0.17/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.60 % 0.17/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.60 (2023-06-19) % 0.17/0.60 % 0.17/0.60 (c) Philipp Rümmer, 2009-2023 % 0.17/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.60 Amanda Stjerna. % 0.17/0.60 Free software under BSD-3-Clause. % 0.17/0.60 % 0.17/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.60 % 0.17/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.17/0.62 Running up to 7 provers in parallel. % 0.64/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.64/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.64/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.64/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.64/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.64/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.64/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.67/0.96 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.67/0.96 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 2.19/1.04 Prover 1: Preprocessing ... % 2.19/1.05 Prover 4: Preprocessing ... % 2.19/1.16 Prover 6: Preprocessing ... % 2.19/1.16 Prover 0: Preprocessing ... % 3.41/1.23 Prover 5: Preprocessing ... % 3.41/1.25 Prover 3: Preprocessing ... % 3.41/1.25 Prover 2: Preprocessing ... % 7.01/1.73 Prover 6: Constructing countermodel ... % 7.54/1.80 Prover 6: proved (1164ms) % 7.54/1.80 % 7.54/1.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.54/1.80 % 7.54/1.82 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.54/1.82 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 7.54/1.83 Prover 1: Constructing countermodel ... % 7.54/1.84 Prover 0: Constructing countermodel ... % 7.54/1.84 Prover 0: stopped % 7.54/1.85 Prover 4: Constructing countermodel ... % 7.54/1.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.54/1.86 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 8.32/1.88 Prover 8: Preprocessing ... % 8.32/1.92 Prover 7: Preprocessing ... % 8.75/1.94 Prover 2: stopped % 8.75/1.94 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.75/1.96 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 9.03/2.04 Prover 10: Preprocessing ... % 10.11/2.14 Prover 8: Warning: ignoring some quantifiers % 10.11/2.19 Prover 8: Constructing countermodel ... % 10.11/2.20 Prover 1: Found proof (size 4) % 10.11/2.20 Prover 1: proved (1565ms) % 10.11/2.20 Prover 4: Found proof (size 4) % 10.11/2.20 Prover 4: proved (1566ms) % 10.11/2.21 Prover 8: stopped % 11.34/2.35 Prover 7: stopped % 11.79/2.41 Prover 5: Constructing countermodel ... % 11.79/2.41 Prover 5: stopped % 11.79/2.42 Prover 10: stopped % 12.66/2.56 Prover 3: Constructing countermodel ... % 12.66/2.56 Prover 3: stopped % 12.66/2.56 % 12.66/2.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.66/2.56 % 12.66/2.56 % SZS output start Proof for theBenchmark % 12.66/2.56 Assumptions after simplification: % 12.66/2.56 --------------------------------- % 12.66/2.57 % 12.66/2.57 (real_greatereq_problem_3) % 12.66/2.60 real_$greatereq(real_13/4, real_39/5) = 0 % 12.66/2.60 % 12.66/2.60 (input) % 12.66/2.64 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_39/5) & ~ % 12.66/2.64 (real_very_large = real_13/4) & ~ (real_very_large = real_0) & ~ % 12.66/2.64 (real_very_small = real_39/5) & ~ (real_very_small = real_13/4) & ~ % 12.66/2.64 (real_very_small = real_0) & ~ (real_39/5 = real_13/4) & ~ (real_39/5 = % 12.66/2.64 real_0) & ~ (real_13/4 = real_0) & real_$is_int(real_39/5) = 1 & % 12.66/2.64 real_$is_int(real_13/4) = 1 & real_$is_int(real_0) = 0 & % 12.66/2.64 real_$is_rat(real_39/5) = 0 & real_$is_rat(real_13/4) = 0 & % 12.66/2.65 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 & % 12.66/2.65 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 & % 12.66/2.65 real_$round(real_0) = real_0 & real_$to_int(real_39/5) = 7 & % 12.66/2.65 real_$to_int(real_13/4) = 3 & real_$to_int(real_0) = 0 & % 12.66/2.65 real_$to_rat(real_39/5) = rat_39/5 & real_$to_rat(real_13/4) = rat_13/4 & % 12.66/2.65 real_$to_rat(real_0) = rat_0 & real_$to_real(real_39/5) = real_39/5 & % 12.66/2.65 real_$to_real(real_13/4) = real_13/4 & real_$to_real(real_0) = real_0 & % 12.66/2.65 int_$to_real(0) = real_0 & real_$quotient(real_0, real_39/5) = real_0 & % 12.66/2.65 real_$quotient(real_0, real_13/4) = real_0 & real_$product(real_39/5, real_0) % 12.66/2.65 = real_0 & real_$product(real_13/4, real_0) = real_0 & real_$product(real_0, % 12.66/2.65 real_39/5) = real_0 & real_$product(real_0, real_13/4) = real_0 & % 12.66/2.65 real_$product(real_0, real_0) = real_0 & real_$difference(real_39/5, % 12.66/2.65 real_39/5) = real_0 & real_$difference(real_39/5, real_0) = real_39/5 & % 12.66/2.65 real_$difference(real_13/4, real_13/4) = real_0 & real_$difference(real_13/4, % 12.66/2.65 real_0) = real_13/4 & real_$difference(real_0, real_0) = real_0 & % 12.66/2.65 real_$uminus(real_0) = real_0 & real_$sum(real_39/5, real_0) = real_39/5 & % 12.66/2.65 real_$sum(real_13/4, real_0) = real_13/4 & real_$sum(real_0, real_39/5) = % 12.66/2.65 real_39/5 & real_$sum(real_0, real_13/4) = real_13/4 & real_$sum(real_0, % 12.66/2.65 real_0) = real_0 & real_$lesseq(real_very_small, real_very_large) = 0 & % 12.66/2.65 real_$lesseq(real_39/5, real_39/5) = 0 & real_$lesseq(real_39/5, real_13/4) = % 12.66/2.65 1 & real_$lesseq(real_39/5, real_0) = 1 & real_$lesseq(real_13/4, real_39/5) = % 12.66/2.65 0 & real_$lesseq(real_13/4, real_13/4) = 0 & real_$lesseq(real_13/4, real_0) = % 12.66/2.65 1 & real_$lesseq(real_0, real_39/5) = 0 & real_$lesseq(real_0, real_13/4) = 0 % 12.66/2.65 & real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, real_39/5) % 12.66/2.65 = 0 & real_$greater(real_very_large, real_13/4) = 0 & % 12.66/2.65 real_$greater(real_very_large, real_0) = 0 & real_$greater(real_very_small, % 12.66/2.65 real_very_large) = 1 & real_$greater(real_39/5, real_very_small) = 0 & % 12.66/2.65 real_$greater(real_39/5, real_39/5) = 1 & real_$greater(real_39/5, real_13/4) % 12.66/2.65 = 0 & real_$greater(real_39/5, real_0) = 0 & real_$greater(real_13/4, % 12.66/2.65 real_very_small) = 0 & real_$greater(real_13/4, real_39/5) = 1 & % 12.66/2.65 real_$greater(real_13/4, real_13/4) = 1 & real_$greater(real_13/4, real_0) = 0 % 12.66/2.65 & real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0, % 12.66/2.65 real_39/5) = 1 & real_$greater(real_0, real_13/4) = 1 & % 12.66/2.65 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small, % 12.66/2.65 real_very_large) = 0 & real_$less(real_very_small, real_39/5) = 0 & % 12.66/2.65 real_$less(real_very_small, real_13/4) = 0 & real_$less(real_very_small, % 12.66/2.65 real_0) = 0 & real_$less(real_39/5, real_very_large) = 0 & % 12.66/2.65 real_$less(real_39/5, real_39/5) = 1 & real_$less(real_39/5, real_13/4) = 1 & % 12.66/2.65 real_$less(real_39/5, real_0) = 1 & real_$less(real_13/4, real_very_large) = 0 % 12.66/2.65 & real_$less(real_13/4, real_39/5) = 0 & real_$less(real_13/4, real_13/4) = 1 % 12.66/2.65 & real_$less(real_13/4, real_0) = 1 & real_$less(real_0, real_very_large) = 0 % 12.66/2.65 & real_$less(real_0, real_39/5) = 0 & real_$less(real_0, real_13/4) = 0 & % 12.66/2.65 real_$less(real_0, real_0) = 1 & real_$greatereq(real_very_small, % 12.66/2.65 real_very_large) = 1 & real_$greatereq(real_39/5, real_39/5) = 0 & % 12.66/2.65 real_$greatereq(real_39/5, real_13/4) = 0 & real_$greatereq(real_39/5, real_0) % 12.66/2.65 = 0 & real_$greatereq(real_13/4, real_39/5) = 1 & real_$greatereq(real_13/4, % 12.66/2.65 real_13/4) = 0 & real_$greatereq(real_13/4, real_0) = 0 & % 12.66/2.65 real_$greatereq(real_0, real_39/5) = 1 & real_$greatereq(real_0, real_13/4) = % 12.66/2.65 1 & real_$greatereq(real_0, real_0) = 0 & ! [v0: $real] : ! [v1: $real] : ! % 12.66/2.65 [v2: $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | % 12.66/2.65 ~ (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & % 12.66/2.65 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.66/2.65 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2, % 12.66/2.65 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1: % 12.66/2.65 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v0) % 12.66/2.65 = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 12.66/2.65 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.66/2.65 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 12.66/2.65 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 12.66/2.65 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 12.66/2.65 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 12.66/2.66 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.66/2.66 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = % 12.66/2.66 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ % 12.66/2.66 (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ (v3 = 0) & % 12.66/2.66 real_$less(v1, v0) = v3))) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.66/2.66 int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = % 12.66/2.66 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! % 12.66/2.66 [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ % 12.66/2.66 (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : % 12.66/2.66 ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | real_$product(v1, v0) = % 12.66/2.66 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, % 12.66/2.66 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : % 12.66/2.66 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | % 12.66/2.66 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ % 12.66/2.66 (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | % 12.66/2.66 ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : % 12.66/2.66 ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: % 12.66/2.66 $real] : ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, % 12.66/2.66 v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) % 12.66/2.66 = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : (v0 = real_0 | ~ % 12.66/2.66 (real_$uminus(v0) = v0)) % 12.66/2.66 % 12.66/2.66 (function-axioms) % 13.29/2.67 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 13.29/2.67 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 13.29/2.67 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 13.29/2.67 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0: % 13.29/2.67 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 13.29/2.67 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & ! % 13.29/2.67 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 13.29/2.67 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0: % 13.29/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 13.29/2.67 $real] : (v1 = v0 | ~ (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, % 13.29/2.67 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 13.29/2.67 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | % 13.29/2.67 ~ (real_$greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.29/2.67 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 13.29/2.67 (real_$less(v3, v2) = v1) | ~ (real_$less(v3, v2) = v0)) & ! [v0: % 13.29/2.67 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 13.29/2.67 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~ % 13.29/2.67 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.29/2.67 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1) % 13.29/2.67 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.29/2.67 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1) % 13.29/2.67 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 13.29/2.67 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) & % 13.29/2.67 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 13.29/2.67 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] : % 13.29/2.67 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~ % 13.29/2.67 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 13.29/2.67 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) & % 13.29/2.68 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) % 13.29/2.68 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 13.29/2.68 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = % 13.29/2.68 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 13.29/2.68 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : % 13.29/2.68 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ % 13.29/2.68 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 13.29/2.68 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0)) % 13.29/2.68 % 13.29/2.68 Those formulas are unsatisfiable: % 13.29/2.68 --------------------------------- % 13.29/2.68 % 13.29/2.68 Begin of proof % 13.29/2.68 | % 13.29/2.68 | ALPHA: (function-axioms) implies: % 13.29/2.68 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 13.29/2.68 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = % 13.29/2.68 | v1) | ~ (real_$greatereq(v3, v2) = v0)) % 13.29/2.68 | % 13.29/2.68 | ALPHA: (input) implies: % 13.29/2.68 | (2) real_$greatereq(real_13/4, real_39/5) = 1 % 13.29/2.68 | % 13.29/2.69 | GROUND_INST: instantiating (1) with 0, 1, real_39/5, real_13/4, simplifying % 13.29/2.69 | with (2), (real_greatereq_problem_3) gives: % 13.29/2.69 | (3) $false % 13.29/2.69 | % 13.29/2.69 | CLOSE: (3) is inconsistent. % 13.29/2.69 | % 13.29/2.69 End of proof % 13.29/2.69 % SZS output end Proof for theBenchmark % 13.29/2.69 % 13.29/2.69 2086ms %------------------------------------------------------------------------------