%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI256_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 17:47:27 EDT 2023 % Result : Theorem 6.79s 1.54s % Output : Proof 21.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.08 % Problem : ARI256_1 : TPTP v8.1.2. Released v5.0.0. % 0.06/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.27 % Computer : n007.cluster.edu % 0.08/0.27 % Model : x86_64 x86_64 % 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.27 % Memory : 8042.1875MB % 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.27 % CPULimit : 300 % 0.08/0.27 % WCLimit : 300 % 0.08/0.27 % DateTime : Tue Aug 29 17:38:13 EDT 2023 % 0.08/0.27 % CPUTime : % 0.12/0.48 ________ _____ % 0.12/0.48 ___ __ \_________(_)________________________________ % 0.12/0.48 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.12/0.48 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.12/0.48 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.12/0.48 % 0.12/0.48 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.12/0.48 (2023-06-19) % 0.12/0.48 % 0.12/0.48 (c) Philipp Rümmer, 2009-2023 % 0.12/0.48 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.12/0.48 Amanda Stjerna. % 0.12/0.48 Free software under BSD-3-Clause. % 0.12/0.48 % 0.12/0.48 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.12/0.48 % 0.12/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.12/0.50 Running up to 7 provers in parallel. % 0.12/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.12/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.12/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.12/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.12/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.12/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.12/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.47/0.78 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.47/0.78 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.86/0.87 Prover 1: Preprocessing ... % 1.86/0.87 Prover 4: Preprocessing ... % 2.45/0.94 Prover 6: Preprocessing ... % 2.45/0.94 Prover 0: Preprocessing ... % 5.74/1.41 Prover 2: Preprocessing ... % 5.74/1.42 Prover 3: Preprocessing ... % 5.74/1.43 Prover 5: Preprocessing ... % 6.34/1.49 Prover 6: Constructing countermodel ... % 6.34/1.49 Prover 0: Constructing countermodel ... % 6.79/1.54 Prover 0: proved (1035ms) % 6.79/1.54 % 6.79/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.79/1.54 % 6.79/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.79/1.55 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 6.79/1.56 Prover 6: proved (1040ms) % 6.79/1.56 % 6.79/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.79/1.56 % 7.09/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.09/1.58 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 7.09/1.59 Prover 8: Preprocessing ... % 7.09/1.61 Prover 1: Constructing countermodel ... % 8.06/1.69 Prover 4: Constructing countermodel ... % 8.49/1.75 Prover 1: Found proof (size 3) % 8.49/1.75 Prover 1: proved (1237ms) % 8.58/1.78 Prover 4: stopped % 8.96/1.83 Prover 7: Preprocessing ... % 9.24/1.93 Prover 8: Warning: ignoring some quantifiers % 9.85/1.95 Prover 8: Constructing countermodel ... % 9.85/1.97 Prover 8: stopped % 14.98/2.69 Prover 7: stopped % 14.98/2.70 Prover 2: stopped % 19.80/3.55 Prover 5: Constructing countermodel ... % 19.80/3.55 Prover 5: stopped % 20.85/3.80 Prover 3: Constructing countermodel ... % 20.85/3.80 Prover 3: stopped % 20.85/3.80 % 20.85/3.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 20.85/3.80 % 20.85/3.80 % SZS output start Proof for theBenchmark % 20.85/3.81 Assumptions after simplification: % 20.85/3.81 --------------------------------- % 20.85/3.81 % 20.85/3.81 (rat_sum_problem_11) % 21.00/3.82 rat_151/20 = rat_11/2 % 21.00/3.82 % 21.00/3.82 (input) % 21.14/3.91 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_151/20) & ~ % 21.14/3.91 (rat_very_large = rat_11/2) & ~ (rat_very_large = rat_81/20) & ~ % 21.14/3.92 (rat_very_large = rat_7/2) & ~ (rat_very_large = rat_0) & ~ (rat_very_small % 21.14/3.92 = rat_151/20) & ~ (rat_very_small = rat_11/2) & ~ (rat_very_small = % 21.14/3.92 rat_81/20) & ~ (rat_very_small = rat_7/2) & ~ (rat_very_small = rat_0) & % 21.14/3.92 ~ (rat_151/20 = rat_11/2) & ~ (rat_151/20 = rat_81/20) & ~ (rat_151/20 = % 21.14/3.92 rat_7/2) & ~ (rat_151/20 = rat_0) & ~ (rat_11/2 = rat_81/20) & ~ % 21.14/3.92 (rat_11/2 = rat_7/2) & ~ (rat_11/2 = rat_0) & ~ (rat_81/20 = rat_7/2) & ~ % 21.14/3.92 (rat_81/20 = rat_0) & ~ (rat_7/2 = rat_0) & rat_$is_int(rat_151/20) = 1 & % 21.14/3.92 rat_$is_int(rat_11/2) = 1 & rat_$is_int(rat_81/20) = 1 & rat_$is_int(rat_7/2) % 21.14/3.92 = 1 & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_151/20) = 0 & % 21.14/3.92 rat_$is_rat(rat_11/2) = 0 & rat_$is_rat(rat_81/20) = 0 & rat_$is_rat(rat_7/2) % 21.14/3.92 = 0 & rat_$is_rat(rat_0) = 0 & rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0) % 21.14/3.92 = rat_0 & rat_$truncate(rat_0) = rat_0 & rat_$round(rat_0) = rat_0 & % 21.14/3.92 rat_$to_int(rat_151/20) = 7 & rat_$to_int(rat_11/2) = 5 & % 21.14/3.92 rat_$to_int(rat_81/20) = 4 & rat_$to_int(rat_7/2) = 3 & rat_$to_int(rat_0) = 0 % 21.14/3.92 & rat_$to_rat(rat_151/20) = rat_151/20 & rat_$to_rat(rat_11/2) = rat_11/2 & % 21.14/3.92 rat_$to_rat(rat_81/20) = rat_81/20 & rat_$to_rat(rat_7/2) = rat_7/2 & % 21.14/3.92 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_151/20) = real_151/20 & % 21.14/3.92 rat_$to_real(rat_11/2) = real_11/2 & rat_$to_real(rat_81/20) = real_81/20 & % 21.14/3.92 rat_$to_real(rat_7/2) = real_7/2 & rat_$to_real(rat_0) = real_0 & % 21.14/3.92 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_151/20) = rat_0 & % 21.14/3.92 rat_$quotient(rat_0, rat_11/2) = rat_0 & rat_$quotient(rat_0, rat_81/20) = % 21.14/3.92 rat_0 & rat_$quotient(rat_0, rat_7/2) = rat_0 & rat_$product(rat_151/20, % 21.14/3.92 rat_0) = rat_0 & rat_$product(rat_11/2, rat_0) = rat_0 & % 21.14/3.92 rat_$product(rat_81/20, rat_0) = rat_0 & rat_$product(rat_7/2, rat_0) = rat_0 % 21.14/3.92 & rat_$product(rat_0, rat_151/20) = rat_0 & rat_$product(rat_0, rat_11/2) = % 21.14/3.92 rat_0 & rat_$product(rat_0, rat_81/20) = rat_0 & rat_$product(rat_0, rat_7/2) % 21.14/3.92 = rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_151/20, % 21.14/3.92 rat_151/20) = rat_0 & rat_$difference(rat_151/20, rat_81/20) = rat_7/2 & % 21.14/3.92 rat_$difference(rat_151/20, rat_7/2) = rat_81/20 & rat_$difference(rat_151/20, % 21.14/3.92 rat_0) = rat_151/20 & rat_$difference(rat_11/2, rat_11/2) = rat_0 & % 21.14/3.92 rat_$difference(rat_11/2, rat_0) = rat_11/2 & rat_$difference(rat_81/20, % 21.14/3.92 rat_81/20) = rat_0 & rat_$difference(rat_81/20, rat_0) = rat_81/20 & % 21.14/3.92 rat_$difference(rat_7/2, rat_7/2) = rat_0 & rat_$difference(rat_7/2, rat_0) = % 21.14/3.92 rat_7/2 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) = rat_0 & % 21.14/3.92 rat_$sum(rat_151/20, rat_0) = rat_151/20 & rat_$sum(rat_11/2, rat_0) = % 21.14/3.92 rat_11/2 & rat_$sum(rat_81/20, rat_7/2) = rat_151/20 & rat_$sum(rat_81/20, % 21.14/3.92 rat_0) = rat_81/20 & rat_$sum(rat_7/2, rat_81/20) = rat_151/20 & % 21.14/3.92 rat_$sum(rat_7/2, rat_0) = rat_7/2 & rat_$sum(rat_0, rat_151/20) = rat_151/20 % 21.14/3.92 & rat_$sum(rat_0, rat_11/2) = rat_11/2 & rat_$sum(rat_0, rat_81/20) = % 21.14/3.92 rat_81/20 & rat_$sum(rat_0, rat_7/2) = rat_7/2 & rat_$sum(rat_0, rat_0) = % 21.14/3.92 rat_0 & rat_$greatereq(rat_very_small, rat_very_large) = 1 & % 21.14/3.92 rat_$greatereq(rat_151/20, rat_151/20) = 0 & rat_$greatereq(rat_151/20, % 21.14/3.92 rat_11/2) = 0 & rat_$greatereq(rat_151/20, rat_81/20) = 0 & % 21.14/3.92 rat_$greatereq(rat_151/20, rat_7/2) = 0 & rat_$greatereq(rat_151/20, rat_0) = % 21.14/3.92 0 & rat_$greatereq(rat_11/2, rat_151/20) = 1 & rat_$greatereq(rat_11/2, % 21.14/3.92 rat_11/2) = 0 & rat_$greatereq(rat_11/2, rat_81/20) = 0 & % 21.14/3.92 rat_$greatereq(rat_11/2, rat_7/2) = 0 & rat_$greatereq(rat_11/2, rat_0) = 0 & % 21.14/3.92 rat_$greatereq(rat_81/20, rat_151/20) = 1 & rat_$greatereq(rat_81/20, % 21.14/3.92 rat_11/2) = 1 & rat_$greatereq(rat_81/20, rat_81/20) = 0 & % 21.14/3.92 rat_$greatereq(rat_81/20, rat_7/2) = 0 & rat_$greatereq(rat_81/20, rat_0) = 0 % 21.14/3.92 & rat_$greatereq(rat_7/2, rat_151/20) = 1 & rat_$greatereq(rat_7/2, rat_11/2) % 21.14/3.92 = 1 & rat_$greatereq(rat_7/2, rat_81/20) = 1 & rat_$greatereq(rat_7/2, % 21.14/3.92 rat_7/2) = 0 & rat_$greatereq(rat_7/2, rat_0) = 0 & rat_$greatereq(rat_0, % 21.14/3.92 rat_151/20) = 1 & rat_$greatereq(rat_0, rat_11/2) = 1 & % 21.14/3.92 rat_$greatereq(rat_0, rat_81/20) = 1 & rat_$greatereq(rat_0, rat_7/2) = 1 & % 21.14/3.92 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) % 21.14/3.92 = 0 & rat_$lesseq(rat_151/20, rat_151/20) = 0 & rat_$lesseq(rat_151/20, % 21.14/3.92 rat_11/2) = 1 & rat_$lesseq(rat_151/20, rat_81/20) = 1 & % 21.14/3.92 rat_$lesseq(rat_151/20, rat_7/2) = 1 & rat_$lesseq(rat_151/20, rat_0) = 1 & % 21.14/3.92 rat_$lesseq(rat_11/2, rat_151/20) = 0 & rat_$lesseq(rat_11/2, rat_11/2) = 0 & % 21.14/3.92 rat_$lesseq(rat_11/2, rat_81/20) = 1 & rat_$lesseq(rat_11/2, rat_7/2) = 1 & % 21.14/3.92 rat_$lesseq(rat_11/2, rat_0) = 1 & rat_$lesseq(rat_81/20, rat_151/20) = 0 & % 21.14/3.92 rat_$lesseq(rat_81/20, rat_11/2) = 0 & rat_$lesseq(rat_81/20, rat_81/20) = 0 & % 21.14/3.92 rat_$lesseq(rat_81/20, rat_7/2) = 1 & rat_$lesseq(rat_81/20, rat_0) = 1 & % 21.14/3.92 rat_$lesseq(rat_7/2, rat_151/20) = 0 & rat_$lesseq(rat_7/2, rat_11/2) = 0 & % 21.14/3.92 rat_$lesseq(rat_7/2, rat_81/20) = 0 & rat_$lesseq(rat_7/2, rat_7/2) = 0 & % 21.14/3.92 rat_$lesseq(rat_7/2, rat_0) = 1 & rat_$lesseq(rat_0, rat_151/20) = 0 & % 21.14/3.92 rat_$lesseq(rat_0, rat_11/2) = 0 & rat_$lesseq(rat_0, rat_81/20) = 0 & % 21.14/3.93 rat_$lesseq(rat_0, rat_7/2) = 0 & rat_$lesseq(rat_0, rat_0) = 0 & % 21.14/3.93 rat_$greater(rat_very_large, rat_151/20) = 0 & rat_$greater(rat_very_large, % 21.14/3.93 rat_11/2) = 0 & rat_$greater(rat_very_large, rat_81/20) = 0 & % 21.14/3.93 rat_$greater(rat_very_large, rat_7/2) = 0 & rat_$greater(rat_very_large, % 21.14/3.93 rat_0) = 0 & rat_$greater(rat_very_small, rat_very_large) = 1 & % 21.14/3.93 rat_$greater(rat_151/20, rat_very_small) = 0 & rat_$greater(rat_151/20, % 21.14/3.93 rat_151/20) = 1 & rat_$greater(rat_151/20, rat_11/2) = 0 & % 21.14/3.93 rat_$greater(rat_151/20, rat_81/20) = 0 & rat_$greater(rat_151/20, rat_7/2) = % 21.14/3.93 0 & rat_$greater(rat_151/20, rat_0) = 0 & rat_$greater(rat_11/2, % 21.14/3.93 rat_very_small) = 0 & rat_$greater(rat_11/2, rat_151/20) = 1 & % 21.14/3.93 rat_$greater(rat_11/2, rat_11/2) = 1 & rat_$greater(rat_11/2, rat_81/20) = 0 & % 21.14/3.93 rat_$greater(rat_11/2, rat_7/2) = 0 & rat_$greater(rat_11/2, rat_0) = 0 & % 21.14/3.93 rat_$greater(rat_81/20, rat_very_small) = 0 & rat_$greater(rat_81/20, % 21.14/3.93 rat_151/20) = 1 & rat_$greater(rat_81/20, rat_11/2) = 1 & % 21.14/3.93 rat_$greater(rat_81/20, rat_81/20) = 1 & rat_$greater(rat_81/20, rat_7/2) = 0 % 21.14/3.93 & rat_$greater(rat_81/20, rat_0) = 0 & rat_$greater(rat_7/2, rat_very_small) = % 21.14/3.93 0 & rat_$greater(rat_7/2, rat_151/20) = 1 & rat_$greater(rat_7/2, rat_11/2) = % 21.14/3.93 1 & rat_$greater(rat_7/2, rat_81/20) = 1 & rat_$greater(rat_7/2, rat_7/2) = 1 % 21.14/3.93 & rat_$greater(rat_7/2, rat_0) = 0 & rat_$greater(rat_0, rat_very_small) = 0 & % 21.14/3.93 rat_$greater(rat_0, rat_151/20) = 1 & rat_$greater(rat_0, rat_11/2) = 1 & % 21.14/3.93 rat_$greater(rat_0, rat_81/20) = 1 & rat_$greater(rat_0, rat_7/2) = 1 & % 21.14/3.93 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0 % 21.14/3.93 & rat_$less(rat_very_small, rat_151/20) = 0 & rat_$less(rat_very_small, % 21.14/3.93 rat_11/2) = 0 & rat_$less(rat_very_small, rat_81/20) = 0 & % 21.14/3.93 rat_$less(rat_very_small, rat_7/2) = 0 & rat_$less(rat_very_small, rat_0) = 0 % 21.14/3.93 & rat_$less(rat_151/20, rat_very_large) = 0 & rat_$less(rat_151/20, % 21.14/3.93 rat_151/20) = 1 & rat_$less(rat_151/20, rat_11/2) = 1 & % 21.14/3.93 rat_$less(rat_151/20, rat_81/20) = 1 & rat_$less(rat_151/20, rat_7/2) = 1 & % 21.14/3.93 rat_$less(rat_151/20, rat_0) = 1 & rat_$less(rat_11/2, rat_very_large) = 0 & % 21.14/3.93 rat_$less(rat_11/2, rat_151/20) = 0 & rat_$less(rat_11/2, rat_11/2) = 1 & % 21.14/3.93 rat_$less(rat_11/2, rat_81/20) = 1 & rat_$less(rat_11/2, rat_7/2) = 1 & % 21.14/3.93 rat_$less(rat_11/2, rat_0) = 1 & rat_$less(rat_81/20, rat_very_large) = 0 & % 21.14/3.93 rat_$less(rat_81/20, rat_151/20) = 0 & rat_$less(rat_81/20, rat_11/2) = 0 & % 21.14/3.93 rat_$less(rat_81/20, rat_81/20) = 1 & rat_$less(rat_81/20, rat_7/2) = 1 & % 21.14/3.93 rat_$less(rat_81/20, rat_0) = 1 & rat_$less(rat_7/2, rat_very_large) = 0 & % 21.14/3.93 rat_$less(rat_7/2, rat_151/20) = 0 & rat_$less(rat_7/2, rat_11/2) = 0 & % 21.14/3.93 rat_$less(rat_7/2, rat_81/20) = 0 & rat_$less(rat_7/2, rat_7/2) = 1 & % 21.14/3.93 rat_$less(rat_7/2, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 & % 21.14/3.93 rat_$less(rat_0, rat_151/20) = 0 & rat_$less(rat_0, rat_11/2) = 0 & % 21.14/3.93 rat_$less(rat_0, rat_81/20) = 0 & rat_$less(rat_0, rat_7/2) = 0 & % 21.14/3.93 rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 21.14/3.93 ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 21.14/3.93 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 21.14/3.93 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 % 21.14/3.93 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, % 21.14/3.93 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 21.14/3.93 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = % 21.14/3.93 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: % 21.14/3.93 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 21.14/3.93 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 21.14/3.93 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 21.14/3.93 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) % 21.14/3.93 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! % 21.14/3.93 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 21.14/3.93 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ % 21.14/3.93 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 21.14/3.93 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 21.14/3.93 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 21.14/3.93 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : % 21.14/3.93 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 21.14/3.93 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! % 21.14/3.93 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! % 21.14/3.93 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | % 21.14/3.93 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 21.14/3.93 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 21.14/3.94 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 21.14/3.94 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 21.14/3.94 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 21.14/3.94 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 21.14/3.94 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 21.14/3.94 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 21.14/3.94 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 21.14/3.94 % 21.14/3.94 Those formulas are unsatisfiable: % 21.14/3.94 --------------------------------- % 21.14/3.94 % 21.14/3.94 Begin of proof % 21.14/3.94 | % 21.48/3.94 | ALPHA: (input) implies: % 21.48/3.94 | (1) ~ (rat_151/20 = rat_11/2) % 21.48/3.94 | % 21.48/3.94 | REDUCE: (1), (rat_sum_problem_11) imply: % 21.48/3.94 | (2) $false % 21.48/3.94 | % 21.48/3.94 | CLOSE: (2) is inconsistent. % 21.48/3.94 | % 21.48/3.94 End of proof % 21.48/3.94 % SZS output end Proof for theBenchmark % 21.48/3.94 % 21.48/3.94 3458ms %------------------------------------------------------------------------------