%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI347_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 : n021.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 17:47:43 EDT 2023 % Result : Theorem 6.76s 1.78s % Output : Proof 11.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : ARI347_1 : TPTP v8.1.2. Released v5.0.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.35 % Computer : n021.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Tue Aug 29 18:16:14 EDT 2023 % 0.15/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.16/0.98 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.69/0.98 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.87/1.05 Prover 1: Preprocessing ... % 1.87/1.05 Prover 4: Preprocessing ... % 2.45/1.15 Prover 6: Preprocessing ... % 2.45/1.15 Prover 0: Preprocessing ... % 3.04/1.20 Prover 5: Preprocessing ... % 3.04/1.21 Prover 2: Preprocessing ... % 3.04/1.21 Prover 3: Preprocessing ... % 6.76/1.75 Prover 6: Constructing countermodel ... % 6.76/1.77 Prover 1: Constructing countermodel ... % 6.76/1.78 Prover 6: proved (1136ms) % 6.76/1.78 % 6.76/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.76/1.78 % 6.76/1.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.76/1.79 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 6.76/1.85 Prover 2: stopped % 6.76/1.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.76/1.85 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 6.76/1.86 Prover 8: Preprocessing ... % 6.76/1.86 Prover 7: Preprocessing ... % 7.76/1.87 Prover 0: Constructing countermodel ... % 7.76/1.87 Prover 0: stopped % 7.76/1.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.76/1.88 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 7.76/1.92 Prover 10: Preprocessing ... % 7.76/1.93 Prover 4: Constructing countermodel ... % 9.27/2.08 Prover 8: Warning: ignoring some quantifiers % 9.58/2.10 Prover 8: Constructing countermodel ... % 10.46/2.24 Prover 1: Found proof (size 7) % 10.46/2.24 Prover 1: proved (1598ms) % 10.46/2.24 Prover 8: stopped % 10.46/2.25 Prover 4: Found proof (size 7) % 10.46/2.25 Prover 4: proved (1606ms) % 10.78/2.27 Prover 5: Constructing countermodel ... % 10.78/2.28 Prover 5: stopped % 10.78/2.30 Prover 7: stopped % 10.78/2.30 Prover 10: stopped % 11.54/2.42 Prover 3: Constructing countermodel ... % 11.54/2.42 Prover 3: stopped % 11.54/2.42 % 11.54/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.54/2.42 % 11.54/2.42 % SZS output start Proof for theBenchmark % 11.54/2.42 Assumptions after simplification: % 11.54/2.42 --------------------------------- % 11.54/2.42 % 11.54/2.42 (real_less_problem_3) % 11.77/2.45 ? [v0: int] : ( ~ (v0 = 0) & real_$less(real_953/100, real_479/50) = v0) % 11.77/2.45 % 11.77/2.45 (input) % 11.77/2.47 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_479/50) & % 11.77/2.48 ~ (real_very_large = real_953/100) & ~ (real_very_large = real_0) & ~ % 11.77/2.48 (real_very_small = real_479/50) & ~ (real_very_small = real_953/100) & ~ % 11.77/2.48 (real_very_small = real_0) & ~ (real_479/50 = real_953/100) & ~ (real_479/50 % 11.77/2.48 = real_0) & ~ (real_953/100 = real_0) & real_$is_int(real_479/50) = 1 & % 11.77/2.48 real_$is_int(real_953/100) = 1 & real_$is_int(real_0) = 0 & % 11.77/2.48 real_$is_rat(real_479/50) = 0 & real_$is_rat(real_953/100) = 0 & % 11.77/2.48 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 & % 11.77/2.48 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 & % 11.77/2.48 real_$round(real_0) = real_0 & real_$to_int(real_479/50) = 9 & % 11.77/2.48 real_$to_int(real_953/100) = 9 & real_$to_int(real_0) = 0 & % 11.77/2.48 real_$to_rat(real_479/50) = rat_479/50 & real_$to_rat(real_953/100) = % 11.77/2.48 rat_953/100 & real_$to_rat(real_0) = rat_0 & real_$to_real(real_479/50) = % 11.77/2.48 real_479/50 & real_$to_real(real_953/100) = real_953/100 & % 11.77/2.48 real_$to_real(real_0) = real_0 & int_$to_real(0) = real_0 & % 11.77/2.48 real_$quotient(real_0, real_479/50) = real_0 & real_$quotient(real_0, % 11.77/2.48 real_953/100) = real_0 & real_$product(real_479/50, real_0) = real_0 & % 11.77/2.48 real_$product(real_953/100, real_0) = real_0 & real_$product(real_0, % 11.77/2.48 real_479/50) = real_0 & real_$product(real_0, real_953/100) = real_0 & % 11.77/2.48 real_$product(real_0, real_0) = real_0 & real_$difference(real_479/50, % 11.77/2.48 real_479/50) = real_0 & real_$difference(real_479/50, real_0) = real_479/50 % 11.77/2.48 & real_$difference(real_953/100, real_953/100) = real_0 & % 11.77/2.48 real_$difference(real_953/100, real_0) = real_953/100 & % 11.77/2.48 real_$difference(real_0, real_0) = real_0 & real_$uminus(real_0) = real_0 & % 11.77/2.48 real_$sum(real_479/50, real_0) = real_479/50 & real_$sum(real_953/100, real_0) % 11.77/2.48 = real_953/100 & real_$sum(real_0, real_479/50) = real_479/50 & % 11.77/2.48 real_$sum(real_0, real_953/100) = real_953/100 & real_$sum(real_0, real_0) = % 11.77/2.48 real_0 & real_$greatereq(real_very_small, real_very_large) = 1 & % 11.77/2.48 real_$greatereq(real_479/50, real_479/50) = 0 & real_$greatereq(real_479/50, % 11.77/2.48 real_953/100) = 0 & real_$greatereq(real_479/50, real_0) = 0 & % 11.77/2.48 real_$greatereq(real_953/100, real_479/50) = 1 & real_$greatereq(real_953/100, % 11.77/2.48 real_953/100) = 0 & real_$greatereq(real_953/100, real_0) = 0 & % 11.77/2.48 real_$greatereq(real_0, real_479/50) = 1 & real_$greatereq(real_0, % 11.77/2.48 real_953/100) = 1 & real_$greatereq(real_0, real_0) = 0 & % 11.77/2.48 real_$lesseq(real_very_small, real_very_large) = 0 & real_$lesseq(real_479/50, % 11.77/2.48 real_479/50) = 0 & real_$lesseq(real_479/50, real_953/100) = 1 & % 11.77/2.48 real_$lesseq(real_479/50, real_0) = 1 & real_$lesseq(real_953/100, % 11.77/2.48 real_479/50) = 0 & real_$lesseq(real_953/100, real_953/100) = 0 & % 11.77/2.48 real_$lesseq(real_953/100, real_0) = 1 & real_$lesseq(real_0, real_479/50) = 0 % 11.77/2.48 & real_$lesseq(real_0, real_953/100) = 0 & real_$lesseq(real_0, real_0) = 0 & % 11.77/2.48 real_$greater(real_very_large, real_479/50) = 0 & % 11.77/2.48 real_$greater(real_very_large, real_953/100) = 0 & % 11.77/2.48 real_$greater(real_very_large, real_0) = 0 & real_$greater(real_very_small, % 11.77/2.48 real_very_large) = 1 & real_$greater(real_479/50, real_very_small) = 0 & % 11.77/2.48 real_$greater(real_479/50, real_479/50) = 1 & real_$greater(real_479/50, % 11.77/2.48 real_953/100) = 0 & real_$greater(real_479/50, real_0) = 0 & % 11.77/2.48 real_$greater(real_953/100, real_very_small) = 0 & real_$greater(real_953/100, % 11.77/2.48 real_479/50) = 1 & real_$greater(real_953/100, real_953/100) = 1 & % 11.77/2.48 real_$greater(real_953/100, real_0) = 0 & real_$greater(real_0, % 11.77/2.48 real_very_small) = 0 & real_$greater(real_0, real_479/50) = 1 & % 11.77/2.48 real_$greater(real_0, real_953/100) = 1 & real_$greater(real_0, real_0) = 1 & % 11.77/2.48 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small, % 11.77/2.48 real_479/50) = 0 & real_$less(real_very_small, real_953/100) = 0 & % 11.77/2.48 real_$less(real_very_small, real_0) = 0 & real_$less(real_479/50, % 11.77/2.48 real_very_large) = 0 & real_$less(real_479/50, real_479/50) = 1 & % 11.77/2.48 real_$less(real_479/50, real_953/100) = 1 & real_$less(real_479/50, real_0) = % 11.77/2.48 1 & real_$less(real_953/100, real_very_large) = 0 & real_$less(real_953/100, % 11.77/2.48 real_479/50) = 0 & real_$less(real_953/100, real_953/100) = 1 & % 11.77/2.48 real_$less(real_953/100, real_0) = 1 & real_$less(real_0, real_very_large) = 0 % 11.77/2.48 & real_$less(real_0, real_479/50) = 0 & real_$less(real_0, real_953/100) = 0 & % 11.77/2.48 real_$less(real_0, real_0) = 1 & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ % 11.77/2.48 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & % 11.77/2.48 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2, % 11.77/2.48 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1: % 11.77/2.48 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v0) % 11.77/2.48 = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 11.77/2.48 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 11.77/2.48 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 11.77/2.48 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 11.77/2.48 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 11.77/2.48 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = % 11.77/2.48 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ % 11.77/2.48 (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 11.77/2.48 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: % 11.77/2.48 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : ! % 11.77/2.48 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 11.77/2.48 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 11.77/2.48 [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | % 11.77/2.48 real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.48 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 11.77/2.48 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | % 11.77/2.48 ~ (real_$less(v1, v0) = 0) | real_$less(v2, v0) = 0) & ! [v0: $real] : ! % 11.77/2.48 [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : % 11.77/2.48 ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) % 11.77/2.48 = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | % 11.77/2.48 real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 11.77/2.48 (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : % 11.77/2.48 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 11.77/2.48 ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 11.77/2.48 % 11.77/2.48 (function-axioms) % 11.77/2.49 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | % 11.77/2.49 ~ (real_$quotient(v3, v2) = v1) | ~ (real_$quotient(v3, v2) = v0)) & ! % 11.77/2.49 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 11.77/2.49 (real_$product(v3, v2) = v1) | ~ (real_$product(v3, v2) = v0)) & ! [v0: % 11.77/2.49 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 11.77/2.49 (real_$difference(v3, v2) = v1) | ~ (real_$difference(v3, v2) = v0)) & ! % 11.77/2.49 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 11.77/2.49 (real_$sum(v3, v2) = v1) | ~ (real_$sum(v3, v2) = v0)) & ! [v0: % 11.77/2.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 11.77/2.49 $real] : (v1 = v0 | ~ (real_$greatereq(v3, v2) = v1) | ~ % 11.77/2.49 (real_$greatereq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.77/2.49 MultipleValueBool] : ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ % 11.77/2.49 (real_$lesseq(v3, v2) = v1) | ~ (real_$lesseq(v3, v2) = v0)) & ! [v0: % 11.77/2.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $real] : ! [v3: % 11.77/2.49 $real] : (v1 = v0 | ~ (real_$greater(v3, v2) = v1) | ~ (real_$greater(v3, % 11.77/2.49 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.77/2.49 ! [v2: $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | ~ % 11.77/2.49 (real_$less(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.77/2.49 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_int(v2) = v1) % 11.77/2.49 | ~ (real_$is_int(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 11.77/2.49 MultipleValueBool] : ! [v2: $real] : (v1 = v0 | ~ (real_$is_rat(v2) = v1) % 11.77/2.49 | ~ (real_$is_rat(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.49 $real] : (v1 = v0 | ~ (real_$floor(v2) = v1) | ~ (real_$floor(v2) = v0)) & % 11.77/2.49 ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 11.77/2.49 (real_$ceiling(v2) = v1) | ~ (real_$ceiling(v2) = v0)) & ! [v0: $real] : % 11.77/2.49 ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ (real_$truncate(v2) = v1) | ~ % 11.77/2.49 (real_$truncate(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 11.77/2.49 $real] : (v1 = v0 | ~ (real_$round(v2) = v1) | ~ (real_$round(v2) = v0)) & % 11.77/2.50 ! [v0: int] : ! [v1: int] : ! [v2: $real] : (v1 = v0 | ~ (real_$to_int(v2) % 11.77/2.50 = v1) | ~ (real_$to_int(v2) = v0)) & ! [v0: $rat] : ! [v1: $rat] : ! % 11.77/2.50 [v2: $real] : (v1 = v0 | ~ (real_$to_rat(v2) = v1) | ~ (real_$to_rat(v2) = % 11.77/2.50 v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : (v1 = v0 | ~ % 11.77/2.50 (real_$to_real(v2) = v1) | ~ (real_$to_real(v2) = v0)) & ! [v0: $real] : % 11.77/2.50 ! [v1: $real] : ! [v2: int] : (v1 = v0 | ~ (int_$to_real(v2) = v1) | ~ % 11.77/2.50 (int_$to_real(v2) = v0)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] % 11.77/2.50 : (v1 = v0 | ~ (real_$uminus(v2) = v1) | ~ (real_$uminus(v2) = v0)) % 11.77/2.50 % 11.77/2.50 Those formulas are unsatisfiable: % 11.77/2.50 --------------------------------- % 11.77/2.50 % 11.77/2.50 Begin of proof % 11.77/2.50 | % 11.77/2.50 | ALPHA: (function-axioms) implies: % 11.77/2.50 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 11.77/2.50 | $real] : ! [v3: $real] : (v1 = v0 | ~ (real_$less(v3, v2) = v1) | % 11.77/2.50 | ~ (real_$less(v3, v2) = v0)) % 11.77/2.50 | % 11.77/2.50 | ALPHA: (input) implies: % 11.77/2.50 | (2) real_$less(real_953/100, real_479/50) = 0 % 11.77/2.50 | % 11.77/2.50 | DELTA: instantiating (real_less_problem_3) with fresh symbol all_5_0 gives: % 11.77/2.50 | (3) ~ (all_5_0 = 0) & real_$less(real_953/100, real_479/50) = all_5_0 % 11.77/2.50 | % 11.77/2.50 | ALPHA: (3) implies: % 11.77/2.50 | (4) ~ (all_5_0 = 0) % 11.77/2.50 | (5) real_$less(real_953/100, real_479/50) = all_5_0 % 11.77/2.50 | % 11.77/2.51 | GROUND_INST: instantiating (1) with 0, all_5_0, real_479/50, real_953/100, % 11.77/2.51 | simplifying with (2), (5) gives: % 11.77/2.51 | (6) all_5_0 = 0 % 11.77/2.51 | % 11.77/2.51 | REDUCE: (4), (6) imply: % 11.77/2.51 | (7) $false % 11.77/2.51 | % 11.77/2.51 | CLOSE: (7) is inconsistent. % 11.77/2.51 | % 11.77/2.51 End of proof % 11.77/2.51 % SZS output end Proof for theBenchmark % 11.77/2.51 % 11.77/2.51 1895ms %------------------------------------------------------------------------------