%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI243_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 : n012.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 17:47:25 EDT 2023 % Result : Theorem 6.64s 1.60s % Output : Proof 7.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ARI243_1 : TPTP v8.1.2. Released v5.0.0. % 0.14/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n012.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 18:38:53 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.27/0.89 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.27/0.89 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.92/0.97 Prover 1: Preprocessing ... % 1.92/0.98 Prover 4: Preprocessing ... % 2.41/1.03 Prover 0: Preprocessing ... % 2.41/1.03 Prover 3: Preprocessing ... % 2.41/1.03 Prover 5: Preprocessing ... % 2.41/1.03 Prover 6: Preprocessing ... % 2.41/1.03 Prover 2: Preprocessing ... % 5.57/1.44 Prover 6: Proving ... % 5.57/1.46 Prover 1: Constructing countermodel ... % 5.57/1.47 Prover 4: Constructing countermodel ... % 6.11/1.50 Prover 3: Constructing countermodel ... % 6.11/1.51 Prover 0: Proving ... % 6.11/1.53 Prover 2: Proving ... % 6.64/1.59 Prover 5: Proving ... % 6.64/1.59 Prover 1: Found proof (size 3) % 6.64/1.59 Prover 4: Found proof (size 3) % 6.64/1.59 Prover 1: proved (963ms) % 6.64/1.59 Prover 3: stopped % 6.64/1.59 Prover 2: stopped % 6.64/1.59 Prover 0: stopped % 6.64/1.59 Prover 6: stopped % 6.64/1.60 Prover 4: proved (960ms) % 6.64/1.60 Prover 5: stopped % 6.64/1.60 % 6.64/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.64/1.60 % 6.64/1.60 % SZS output start Proof for theBenchmark % 6.64/1.60 Assumptions after simplification: % 6.64/1.60 --------------------------------- % 6.64/1.60 % 6.64/1.61 (rat_greatereq_problem_14) % 6.64/1.63 ! [v0: $rat] : ~ (rat_$greatereq(v0, rat_-7/16) = 0) % 6.64/1.63 % 6.64/1.63 (input) % 6.64/1.66 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_-7/16) & ~ % 6.64/1.66 (rat_very_large = rat_0) & ~ (rat_very_small = rat_-7/16) & ~ % 6.64/1.66 (rat_very_small = rat_0) & ~ (rat_-7/16 = rat_0) & rat_$is_int(rat_-7/16) = 1 % 6.64/1.66 & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_-7/16) = 0 & rat_$is_rat(rat_0) = 0 % 6.64/1.66 & rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_-7/16) = rat_0 & % 6.64/1.66 rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_-7/16) = rat_0 & % 6.64/1.66 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_-7/16) = rat_0 & % 6.64/1.66 rat_$round(rat_0) = rat_0 & rat_$to_int(rat_-7/16) = -1 & rat_$to_int(rat_0) = % 6.64/1.66 0 & rat_$to_rat(rat_-7/16) = rat_-7/16 & rat_$to_rat(rat_0) = rat_0 & % 6.64/1.66 rat_$to_real(rat_-7/16) = real_-7/16 & rat_$to_real(rat_0) = real_0 & % 6.64/1.66 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_-7/16) = rat_0 & % 6.64/1.66 rat_$product(rat_-7/16, rat_0) = rat_0 & rat_$product(rat_0, rat_-7/16) = % 6.64/1.66 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_-7/16, % 6.64/1.66 rat_-7/16) = rat_0 & rat_$difference(rat_-7/16, rat_0) = rat_-7/16 & % 6.64/1.66 rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) = rat_0 & % 6.64/1.66 rat_$sum(rat_-7/16, rat_0) = rat_-7/16 & rat_$sum(rat_0, rat_-7/16) = % 6.64/1.66 rat_-7/16 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$lesseq(rat_very_small, % 6.64/1.66 rat_very_large) = 0 & rat_$lesseq(rat_-7/16, rat_-7/16) = 0 & % 6.64/1.66 rat_$lesseq(rat_-7/16, rat_0) = 0 & rat_$lesseq(rat_0, rat_-7/16) = 1 & % 6.64/1.66 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_-7/16) = 0 & % 6.64/1.66 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small, % 6.64/1.66 rat_very_large) = 1 & rat_$greater(rat_-7/16, rat_very_small) = 0 & % 6.64/1.66 rat_$greater(rat_-7/16, rat_-7/16) = 1 & rat_$greater(rat_-7/16, rat_0) = 1 & % 6.64/1.66 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_-7/16) = 0 & % 6.64/1.66 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0 % 6.64/1.66 & rat_$less(rat_very_small, rat_-7/16) = 0 & rat_$less(rat_very_small, rat_0) % 6.64/1.66 = 0 & rat_$less(rat_-7/16, rat_very_large) = 0 & rat_$less(rat_-7/16, % 6.64/1.66 rat_-7/16) = 1 & rat_$less(rat_-7/16, rat_0) = 0 & rat_$less(rat_0, % 6.64/1.66 rat_very_large) = 0 & rat_$less(rat_0, rat_-7/16) = 1 & rat_$less(rat_0, % 6.64/1.66 rat_0) = 1 & rat_$greatereq(rat_very_small, rat_very_large) = 1 & % 6.64/1.66 rat_$greatereq(rat_-7/16, rat_-7/16) = 0 & rat_$greatereq(rat_-7/16, rat_0) = % 6.64/1.66 1 & rat_$greatereq(rat_0, rat_-7/16) = 0 & rat_$greatereq(rat_0, rat_0) = 0 & % 6.64/1.66 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : % 6.64/1.66 ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : % 6.64/1.66 (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: % 6.64/1.66 $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ % 6.64/1.66 (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, v0) = v2)) & ! [v0: % 6.64/1.66 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 6.64/1.66 (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( % 6.64/1.66 ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : % 6.64/1.66 ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ % 6.64/1.66 (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = % 6.64/1.66 v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ % 6.64/1.66 (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, % 6.64/1.66 v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v2 = rat_0 | % 6.64/1.66 ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = v2)) & ! [v0: $rat] : ! % 6.64/1.66 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 % 6.64/1.66 = v0) & ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3))) & ! % 6.64/1.66 [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) % 6.64/1.66 = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: % 6.64/1.66 $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greatereq(v0, v1) % 6.64/1.66 = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$lesseq(v1, v0) = v3)) & ! [v0: % 6.64/1.66 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 6.64/1.66 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 6.64/1.66 ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: % 6.64/1.66 $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, % 6.64/1.66 v0) = 0) | rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 6.64/1.66 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 % 6.64/1.66 = v0 | ~ (rat_$lesseq(v1, v0) = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] % 6.64/1.66 : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: % 6.64/1.66 $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, v0) = % 6.64/1.66 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | % 6.64/1.66 rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) % 6.64/1.66 = v0)) % 6.64/1.66 % 6.64/1.66 Those formulas are unsatisfiable: % 6.64/1.66 --------------------------------- % 6.64/1.66 % 6.64/1.66 Begin of proof % 6.64/1.66 | % 6.64/1.66 | ALPHA: (input) implies: % 6.64/1.66 | (1) rat_$greatereq(rat_-7/16, rat_-7/16) = 0 % 6.64/1.66 | % 6.64/1.67 | GROUND_INST: instantiating (rat_greatereq_problem_14) with rat_-7/16, % 6.64/1.67 | simplifying with (1) gives: % 6.64/1.67 | (2) $false % 7.19/1.67 | % 7.19/1.67 | CLOSE: (2) is inconsistent. % 7.19/1.67 | % 7.19/1.67 End of proof % 7.19/1.67 % SZS output end Proof for theBenchmark % 7.19/1.67 % 7.19/1.67 1057ms %------------------------------------------------------------------------------