%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI348_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 : n023.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 7.02s 1.73s % Output : Proof 7.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ARI348_1 : TPTP v8.1.2. Released v5.0.0. % 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 18:59:25 EDT 2023 % 0.14/0.34 % CPUTime : % 0.71/0.67 ________ _____ % 0.71/0.67 ___ __ \_________(_)________________________________ % 0.71/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.71/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.71/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.71/0.67 % 0.71/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.71/0.67 (2023-06-19) % 0.71/0.67 % 0.71/0.67 (c) Philipp Rümmer, 2009-2023 % 0.71/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.71/0.67 Amanda Stjerna. % 0.71/0.67 Free software under BSD-3-Clause. % 0.71/0.67 % 0.71/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.71/0.67 % 0.71/0.67 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.68 Running up to 7 provers in parallel. % 0.71/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.64/0.94 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.95 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.91/1.03 Prover 1: Preprocessing ... % 1.91/1.03 Prover 4: Preprocessing ... % 2.63/1.08 Prover 6: Preprocessing ... % 2.63/1.08 Prover 3: Preprocessing ... % 2.63/1.08 Prover 0: Preprocessing ... % 2.63/1.08 Prover 5: Preprocessing ... % 2.63/1.08 Prover 2: Preprocessing ... % 5.91/1.53 Prover 1: Constructing countermodel ... % 5.91/1.55 Prover 6: Proving ... % 6.14/1.56 Prover 4: Constructing countermodel ... % 6.14/1.60 Prover 3: Constructing countermodel ... % 6.14/1.61 Prover 0: Proving ... % 6.14/1.62 Prover 2: Proving ... % 6.69/1.64 Prover 5: Proving ... % 7.02/1.72 Prover 1: Found proof (size 3) % 7.02/1.72 Prover 1: proved (1032ms) % 7.02/1.73 Prover 4: Found proof (size 3) % 7.02/1.73 Prover 4: proved (1034ms) % 7.02/1.73 Prover 0: proved (1035ms) % 7.02/1.73 Prover 3: stopped % 7.02/1.73 Prover 2: stopped % 7.02/1.73 Prover 5: stopped % 7.02/1.73 Prover 6: stopped % 7.02/1.73 % 7.02/1.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.02/1.73 % 7.02/1.73 % SZS output start Proof for theBenchmark % 7.02/1.73 Assumptions after simplification: % 7.02/1.73 --------------------------------- % 7.02/1.73 % 7.02/1.73 (real_less_problem_4) % 7.47/1.76 ! [v0: $real] : ~ (real_$less(v0, real_64/5) = 0) % 7.47/1.76 % 7.47/1.76 (input) % 7.56/1.78 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_64/5) & ~ % 7.56/1.78 (real_very_large = real_0) & ~ (real_very_small = real_64/5) & ~ % 7.56/1.78 (real_very_small = real_0) & ~ (real_64/5 = real_0) & real_$is_int(real_64/5) % 7.56/1.78 = 1 & real_$is_int(real_0) = 0 & real_$is_rat(real_64/5) = 0 & % 7.56/1.78 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 & % 7.56/1.78 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 & % 7.56/1.78 real_$round(real_0) = real_0 & real_$to_int(real_64/5) = 12 & % 7.56/1.78 real_$to_int(real_0) = 0 & real_$to_rat(real_64/5) = rat_64/5 & % 7.56/1.78 real_$to_rat(real_0) = rat_0 & real_$to_real(real_64/5) = real_64/5 & % 7.56/1.78 real_$to_real(real_0) = real_0 & int_$to_real(0) = real_0 & % 7.56/1.78 real_$quotient(real_0, real_64/5) = real_0 & real_$product(real_64/5, real_0) % 7.56/1.78 = real_0 & real_$product(real_0, real_64/5) = real_0 & real_$product(real_0, % 7.56/1.78 real_0) = real_0 & real_$difference(real_64/5, real_64/5) = real_0 & % 7.56/1.78 real_$difference(real_64/5, real_0) = real_64/5 & real_$difference(real_0, % 7.56/1.78 real_0) = real_0 & real_$uminus(real_0) = real_0 & real_$sum(real_64/5, % 7.56/1.78 real_0) = real_64/5 & real_$sum(real_0, real_64/5) = real_64/5 & % 7.56/1.78 real_$sum(real_0, real_0) = real_0 & real_$greatereq(real_very_small, % 7.56/1.78 real_very_large) = 1 & real_$greatereq(real_64/5, real_64/5) = 0 & % 7.56/1.78 real_$greatereq(real_64/5, real_0) = 0 & real_$greatereq(real_0, real_64/5) = % 7.56/1.78 1 & real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small, % 7.56/1.78 real_very_large) = 0 & real_$lesseq(real_64/5, real_64/5) = 0 & % 7.56/1.78 real_$lesseq(real_64/5, real_0) = 1 & real_$lesseq(real_0, real_64/5) = 0 & % 7.56/1.78 real_$lesseq(real_0, real_0) = 0 & real_$greater(real_very_large, real_64/5) = % 7.56/1.78 0 & real_$greater(real_very_large, real_0) = 0 & % 7.56/1.78 real_$greater(real_very_small, real_very_large) = 1 & real_$greater(real_64/5, % 7.56/1.78 real_very_small) = 0 & real_$greater(real_64/5, real_64/5) = 1 & % 7.56/1.78 real_$greater(real_64/5, real_0) = 0 & real_$greater(real_0, real_very_small) % 7.56/1.78 = 0 & real_$greater(real_0, real_64/5) = 1 & real_$greater(real_0, real_0) = 1 % 7.56/1.78 & real_$less(real_very_small, real_very_large) = 0 & % 7.56/1.78 real_$less(real_very_small, real_64/5) = 0 & real_$less(real_very_small, % 7.56/1.78 real_0) = 0 & real_$less(real_64/5, real_very_large) = 0 & % 7.56/1.78 real_$less(real_64/5, real_64/5) = 1 & real_$less(real_64/5, real_0) = 1 & % 7.56/1.78 real_$less(real_0, real_very_large) = 0 & real_$less(real_0, real_64/5) = 0 & % 7.56/1.78 real_$less(real_0, real_0) = 1 & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ % 7.56/1.78 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & % 7.56/1.78 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2, % 7.56/1.78 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1: % 7.56/1.78 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v0) % 7.56/1.78 = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 7.56/1.78 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 7.56/1.78 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 7.56/1.78 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 7.56/1.78 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 7.56/1.78 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = % 7.56/1.78 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ % 7.56/1.78 (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 7.56/1.78 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: % 7.56/1.78 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : ! % 7.56/1.78 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 7.56/1.78 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 7.56/1.78 [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | % 7.56/1.78 real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 7.56/1.78 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 7.56/1.78 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | % 7.56/1.78 ~ (real_$less(v1, v0) = 0) | real_$less(v2, v0) = 0) & ! [v0: $real] : ! % 7.56/1.78 [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : % 7.56/1.78 ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) % 7.56/1.78 = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | % 7.56/1.78 real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 7.56/1.78 (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : % 7.56/1.78 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 7.56/1.78 ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 7.56/1.78 % 7.56/1.78 Those formulas are unsatisfiable: % 7.56/1.78 --------------------------------- % 7.56/1.78 % 7.56/1.78 Begin of proof % 7.56/1.78 | % 7.56/1.78 | ALPHA: (input) implies: % 7.56/1.79 | (1) real_$less(real_very_small, real_64/5) = 0 % 7.56/1.79 | % 7.56/1.79 | GROUND_INST: instantiating (real_less_problem_4) with real_very_small, % 7.56/1.79 | simplifying with (1) gives: % 7.56/1.79 | (2) $false % 7.56/1.79 | % 7.56/1.79 | CLOSE: (2) is inconsistent. % 7.56/1.79 | % 7.56/1.79 End of proof % 7.56/1.79 % SZS output end Proof for theBenchmark % 7.56/1.79 % 7.56/1.79 1117ms %------------------------------------------------------------------------------