%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI519_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 : n013.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 17:48:15 EDT 2023 % Result : Theorem 7.16s 1.77s % Output : Proof 8.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ARI519_1 : TPTP v8.1.2. Released v5.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n013.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 18:16:01 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.63 ________ _____ % 0.20/0.63 ___ __ \_________(_)________________________________ % 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.63 % 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.63 (2023-06-19) % 0.20/0.63 % 0.20/0.63 (c) Philipp Rümmer, 2009-2023 % 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.63 Amanda Stjerna. % 0.20/0.63 Free software under BSD-3-Clause. % 0.20/0.63 % 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.63 % 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.76/0.97 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.76/0.97 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 2.25/1.06 Prover 4: Preprocessing ... % 2.25/1.06 Prover 1: Preprocessing ... % 2.73/1.10 Prover 3: Preprocessing ... % 2.73/1.10 Prover 2: Preprocessing ... % 2.73/1.10 Prover 6: Preprocessing ... % 2.73/1.10 Prover 0: Preprocessing ... % 2.73/1.10 Prover 5: Preprocessing ... % 5.70/1.56 Prover 1: Constructing countermodel ... % 5.70/1.57 Prover 6: Proving ... % 6.44/1.60 Prover 4: Constructing countermodel ... % 6.44/1.61 Prover 0: Proving ... % 6.44/1.63 Prover 2: Proving ... % 6.44/1.65 Prover 3: Constructing countermodel ... % 7.16/1.76 Prover 5: Proving ... % 7.16/1.77 Prover 0: proved (1119ms) % 7.16/1.77 % 7.16/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.16/1.77 % 7.16/1.77 Prover 3: stopped % 7.16/1.77 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.16/1.77 Prover 6: stopped % 7.16/1.77 Prover 2: stopped % 7.16/1.77 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.16/1.77 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 7.16/1.77 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 7.16/1.78 Prover 5: stopped % 7.16/1.78 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.16/1.78 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.16/1.78 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.16/1.78 Prover 11: Warning: Problem contains reals, using incomplete axiomatisation % 7.16/1.78 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 7.16/1.78 Prover 13: Warning: Problem contains reals, using incomplete axiomatisation % 7.16/1.78 Prover 8: Preprocessing ... % 7.16/1.79 Prover 13: Preprocessing ... % 7.16/1.80 Prover 4: Found proof (size 3) % 7.83/1.80 Prover 4: proved (1146ms) % 7.83/1.80 Prover 1: Found proof (size 3) % 7.83/1.80 Prover 1: proved (1152ms) % 7.83/1.80 Prover 10: Preprocessing ... % 7.83/1.80 Prover 11: Preprocessing ... % 7.83/1.82 Prover 7: Preprocessing ... % 7.83/1.83 Prover 13: stopped % 7.83/1.88 Prover 10: stopped % 7.83/1.88 Prover 8: Warning: ignoring some quantifiers % 7.83/1.88 Prover 7: stopped % 7.83/1.88 Prover 8: Constructing countermodel ... % 7.83/1.89 Prover 8: stopped % 7.83/1.90 Prover 11: stopped % 7.83/1.90 % 7.83/1.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.83/1.90 % 7.83/1.91 % SZS output start Proof for theBenchmark % 7.83/1.91 Assumptions after simplification: % 7.83/1.91 --------------------------------- % 7.83/1.91 % 7.83/1.91 (mixed_types_problem_24) % 7.83/1.94 ! [v0: $real] : ~ (real_$greatereq(v0, real_9) = 0) % 7.83/1.94 % 7.83/1.94 (input) % 8.66/1.97 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_9) & ~ % 8.66/1.97 (real_very_large = real_0) & ~ (real_very_small = real_9) & ~ % 8.66/1.97 (real_very_small = real_0) & ~ (real_9 = real_0) & real_$is_int(real_9) = 0 & % 8.66/1.97 real_$is_int(real_0) = 0 & real_$is_rat(real_9) = 0 & real_$is_rat(real_0) = 0 % 8.66/1.97 & real_$floor(real_9) = real_9 & real_$floor(real_0) = real_0 & % 8.66/1.97 real_$ceiling(real_9) = real_9 & real_$ceiling(real_0) = real_0 & % 8.66/1.97 real_$truncate(real_9) = real_9 & real_$truncate(real_0) = real_0 & % 8.66/1.97 real_$round(real_9) = real_9 & real_$round(real_0) = real_0 & % 8.66/1.97 real_$to_int(real_9) = 9 & real_$to_int(real_0) = 0 & real_$to_rat(real_9) = % 8.66/1.97 rat_9 & real_$to_rat(real_0) = rat_0 & real_$to_real(real_9) = real_9 & % 8.66/1.97 real_$to_real(real_0) = real_0 & int_$to_real(9) = real_9 & int_$to_real(0) = % 8.66/1.97 real_0 & real_$quotient(real_0, real_9) = real_0 & real_$product(real_9, % 8.66/1.97 real_0) = real_0 & real_$product(real_0, real_9) = real_0 & % 8.66/1.97 real_$product(real_0, real_0) = real_0 & real_$difference(real_9, real_9) = % 8.66/1.97 real_0 & real_$difference(real_9, real_0) = real_9 & real_$difference(real_0, % 8.66/1.97 real_0) = real_0 & real_$uminus(real_0) = real_0 & real_$sum(real_9, real_0) % 8.66/1.97 = real_9 & real_$sum(real_0, real_9) = real_9 & real_$sum(real_0, real_0) = % 8.66/1.97 real_0 & real_$lesseq(real_very_small, real_very_large) = 0 & % 8.66/1.97 real_$lesseq(real_9, real_9) = 0 & real_$lesseq(real_9, real_0) = 1 & % 8.66/1.97 real_$lesseq(real_0, real_9) = 0 & real_$lesseq(real_0, real_0) = 0 & % 8.66/1.97 real_$greater(real_very_large, real_9) = 0 & real_$greater(real_very_large, % 8.66/1.97 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 & % 8.66/1.97 real_$greater(real_9, real_very_small) = 0 & real_$greater(real_9, real_9) = 1 % 8.66/1.97 & real_$greater(real_9, real_0) = 0 & real_$greater(real_0, real_very_small) = % 8.66/1.97 0 & real_$greater(real_0, real_9) = 1 & real_$greater(real_0, real_0) = 1 & % 8.66/1.97 real_$less(real_very_small, real_very_large) = 0 & real_$less(real_very_small, % 8.66/1.97 real_9) = 0 & real_$less(real_very_small, real_0) = 0 & real_$less(real_9, % 8.66/1.97 real_very_large) = 0 & real_$less(real_9, real_9) = 1 & real_$less(real_9, % 8.66/1.97 real_0) = 1 & real_$less(real_0, real_very_large) = 0 & real_$less(real_0, % 8.66/1.97 real_9) = 0 & real_$less(real_0, real_0) = 1 & % 8.66/1.97 real_$greatereq(real_very_small, real_very_large) = 1 & % 8.66/1.97 real_$greatereq(real_9, real_9) = 0 & real_$greatereq(real_9, real_0) = 0 & % 8.66/1.97 real_$greatereq(real_0, real_9) = 1 & real_$greatereq(real_0, real_0) = 0 & ! % 8.66/1.97 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: % 8.66/1.97 $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | ? % 8.66/1.97 [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: % 8.66/1.97 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ! [v4: $real] : % 8.66/1.97 ( ~ (real_$sum(v2, v3) = v4) | ~ (real_$sum(v1, v0) = v3) | ? [v5: $real] : % 8.66/1.97 (real_$sum(v5, v0) = v4 & real_$sum(v2, v1) = v5)) & ! [v0: $real] : ! % 8.66/1.97 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, % 8.66/1.97 v1) = 0) | ~ (real_$lesseq(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) % 8.66/1.97 & real_$lesseq(v1, v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.66/1.97 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v1) = 0) | ~ % 8.66/1.97 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v1, v0) % 8.66/1.97 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : % 8.66/1.97 (v3 = 0 | ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? % 8.66/1.97 [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! % 8.66/1.97 [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, % 8.66/1.97 v0) = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & % 8.66/1.97 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.66/1.97 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$less(v2, v1) = 0) | ~ % 8.66/1.97 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v1, % 8.66/1.97 v0) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: % 8.66/1.97 int] : (v3 = 0 | ~ (real_$less(v2, v0) = v3) | ~ (real_$less(v1, v0) = 0) % 8.66/1.97 | ? [v4: int] : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] % 8.66/1.97 : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = % 8.66/1.97 v2) | ~ (real_$sum(v1, v2) = v3) | real_$difference(v1, v0) = v3) & ! % 8.66/1.97 [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ % 8.66/1.97 (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$lesseq(v1, % 8.66/1.97 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | % 8.66/1.97 ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & real_$less(v1, % 8.66/1.97 v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | % 8.66/1.97 ~ (real_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 8.66/1.97 real_$greatereq(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.66/1.97 int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = % 8.66/1.97 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! % 8.66/1.97 [v2: int] : (v2 = 0 | ~ (real_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = % 8.66/1.97 0) & real_$greater(v0, v1) = v3)) & ! [v0: $real] : ! [v1: $real] : ! % 8.66/1.97 [v2: int] : (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ % 8.66/1.97 (v3 = 0) & real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : % 8.66/1.97 ! [v2: $real] : (v0 = real_0 | ~ (real_$product(v1, v0) = v2) | % 8.66/1.97 real_$quotient(v2, v0) = v1) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.66/1.97 $real] : ( ~ (real_$product(v1, v0) = v2) | real_$product(v0, v1) = v2) & ! % 8.66/1.97 [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = % 8.66/1.97 v2) | real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! % 8.66/1.97 [v2: $real] : ( ~ (real_$difference(v1, v0) = v2) | ? [v3: $real] : % 8.66/1.97 (real_$uminus(v0) = v3 & real_$sum(v1, v3) = v2)) & ! [v0: $real] : ! [v1: % 8.66/1.97 $real] : ! [v2: $real] : ( ~ (real_$sum(v1, v0) = v2) | real_$sum(v0, v1) = % 8.66/1.97 v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, % 8.66/1.97 v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : % 8.66/1.97 ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$lesseq(v1, v0) = 0) % 8.66/1.97 | real_$lesseq(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.66/1.97 $real] : ( ~ (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | % 8.66/1.97 real_$less(v2, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : % 8.66/1.97 ( ~ (real_$lesseq(v1, v0) = 0) | ~ (real_$less(v2, v1) = 0) | real_$less(v2, % 8.66/1.97 v0) = 0) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, % 8.66/1.97 real_0) = v1)) & ! [v0: $real] : ! [v1: $real] : (v1 = v0 | ~ % 8.66/1.97 (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : ! % 8.66/1.97 [v1: int] : (v1 = 0 | ~ (real_$lesseq(v0, v0) = v1)) & ! [v0: $real] : ! % 8.66/1.97 [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: % 8.66/1.97 $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | real_$sum(v0, v1) = % 8.66/1.97 real_0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$lesseq(v1, v0) = 0) | % 8.66/1.97 real_$greatereq(v0, v1) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 8.66/1.97 (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & ! [v0: $real] : ! % 8.66/1.97 [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | real_$lesseq(v1, v0) = 0) & ! % 8.66/1.97 [v0: $real] : ! [v1: $real] : ( ~ (real_$less(v1, v0) = 0) | % 8.66/1.97 real_$greater(v0, v1) = 0) & ! [v0: $real] : ! [v1: MultipleValueBool] : ( % 8.66/1.97 ~ (real_$less(v0, v0) = v1) | real_$lesseq(v0, v0) = 0) & ! [v0: $real] : % 8.66/1.97 ! [v1: $real] : ( ~ (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) % 8.66/1.97 & ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 8.66/1.97 % 8.66/1.97 Those formulas are unsatisfiable: % 8.66/1.97 --------------------------------- % 8.66/1.97 % 8.66/1.97 Begin of proof % 8.66/1.97 | % 8.66/1.97 | ALPHA: (input) implies: % 8.66/1.98 | (1) real_$greatereq(real_9, real_9) = 0 % 8.66/1.98 | % 8.66/1.98 | GROUND_INST: instantiating (mixed_types_problem_24) with real_9, simplifying % 8.66/1.98 | with (1) gives: % 8.66/1.98 | (2) $false % 8.66/1.98 | % 8.66/1.98 | CLOSE: (2) is inconsistent. % 8.66/1.98 | % 8.66/1.98 End of proof % 8.66/1.98 % SZS output end Proof for theBenchmark % 8.66/1.98 % 8.66/1.98 1351ms %------------------------------------------------------------------------------