%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI222_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 17:47:20 EDT 2023 % Result : Theorem 5.34s 1.53s % Output : Proof 6.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ARI222_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 : n007.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 17:34:58 EDT 2023 % 0.13/0.35 % CPUTime : % 0.63/0.67 ________ _____ % 0.63/0.67 ___ __ \_________(_)________________________________ % 0.63/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.63/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.63/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.63/0.67 % 0.63/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.63/0.67 (2023-06-19) % 0.63/0.67 % 0.63/0.67 (c) Philipp Rümmer, 2009-2023 % 0.63/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.63/0.67 Amanda Stjerna. % 0.63/0.67 Free software under BSD-3-Clause. % 0.63/0.67 % 0.63/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.63/0.67 % 0.63/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.63/0.68 Running up to 7 provers in parallel. % 0.76/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.76/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.76/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.76/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.76/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.76/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.76/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.60/0.96 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.60/0.96 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.94/1.04 Prover 4: Preprocessing ... % 1.94/1.04 Prover 1: Preprocessing ... % 2.48/1.08 Prover 3: Preprocessing ... % 2.48/1.08 Prover 0: Preprocessing ... % 2.48/1.08 Prover 2: Preprocessing ... % 2.48/1.08 Prover 5: Preprocessing ... % 2.48/1.09 Prover 6: Preprocessing ... % 4.64/1.41 Prover 1: Constructing countermodel ... % 4.64/1.42 Prover 5: Proving ... % 5.06/1.43 Prover 6: Proving ... % 5.06/1.44 Prover 3: Constructing countermodel ... % 5.06/1.45 Prover 2: Proving ... % 5.34/1.49 Prover 4: Constructing countermodel ... % 5.34/1.52 Prover 0: Proving ... % 5.34/1.53 Prover 2: proved (837ms) % 5.34/1.53 % 5.34/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.34/1.53 % 5.34/1.53 Prover 5: proved (835ms) % 5.34/1.53 % 5.34/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.34/1.53 % 5.34/1.53 Prover 3: stopped % 5.34/1.53 Prover 6: stopped % 5.34/1.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.34/1.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.90/1.53 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.90/1.53 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.90/1.54 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 5.90/1.54 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 5.90/1.54 Prover 0: stopped % 5.90/1.54 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 5.90/1.54 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 5.90/1.54 Prover 8: Preprocessing ... % 5.90/1.54 Prover 7: Preprocessing ... % 5.90/1.54 Prover 11: Preprocessing ... % 5.90/1.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 5.90/1.55 Prover 10: Preprocessing ... % 5.90/1.55 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 5.90/1.56 Prover 13: Preprocessing ... % 5.90/1.57 Prover 1: Found proof (size 3) % 5.90/1.57 Prover 1: proved (882ms) % 5.90/1.57 Prover 4: Found proof (size 3) % 5.90/1.57 Prover 4: proved (880ms) % 6.19/1.57 Prover 10: stopped % 6.19/1.58 Prover 11: stopped % 6.19/1.59 Prover 13: stopped % 6.19/1.62 Prover 7: Warning: ignoring some quantifiers % 6.19/1.63 Prover 7: Constructing countermodel ... % 6.19/1.63 Prover 7: stopped % 6.19/1.64 Prover 8: Warning: ignoring some quantifiers % 6.66/1.65 Prover 8: Constructing countermodel ... % 6.66/1.66 Prover 8: stopped % 6.66/1.66 % 6.66/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.66/1.66 % 6.66/1.66 % SZS output start Proof for theBenchmark % 6.66/1.66 Assumptions after simplification: % 6.66/1.66 --------------------------------- % 6.66/1.66 % 6.66/1.66 (rat_greater_problem_6) % 6.78/1.69 ! [v0: $rat] : ! [v1: $rat] : ~ (rat_$greater(v0, v1) = 0) % 6.78/1.69 % 6.78/1.69 (input) % 6.78/1.71 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_0) & ~ % 6.78/1.71 (rat_very_small = rat_0) & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_0) = 0 & % 6.78/1.71 rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_0) % 6.78/1.71 = rat_0 & rat_$round(rat_0) = rat_0 & rat_$to_int(rat_0) = 0 & % 6.78/1.71 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_0) = real_0 & int_$to_rat(0) = % 6.78/1.71 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_0, rat_0) = % 6.78/1.71 rat_0 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_0, rat_0) = rat_0 & % 6.78/1.71 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_0, % 6.78/1.71 rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) = 0 & % 6.78/1.71 rat_$lesseq(rat_0, rat_0) = 0 & rat_$less(rat_very_small, rat_very_large) = 0 % 6.78/1.71 & rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_0, rat_very_large) = 0 % 6.78/1.71 & rat_$less(rat_0, rat_0) = 1 & rat_$greater(rat_very_large, rat_0) = 0 & % 6.78/1.71 rat_$greater(rat_very_small, rat_very_large) = 1 & rat_$greater(rat_0, % 6.78/1.71 rat_very_small) = 0 & rat_$greater(rat_0, rat_0) = 1 & ! [v0: $rat] : ! % 6.78/1.71 [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, % 6.78/1.71 v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, % 6.78/1.71 v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! % 6.78/1.71 [v2: $rat] : ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) % 6.78/1.71 = v3) | ~ (rat_$product(v1, v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : % 6.78/1.71 ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ % 6.78/1.71 (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, % 6.78/1.71 v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 6.78/1.71 int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) % 6.78/1.71 | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : % 6.78/1.71 ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ % 6.78/1.71 (rat_$sum(v1, v2) = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! % 6.78/1.71 [v1: $rat] : ! [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ % 6.78/1.71 (rat_$sum(v0, v1) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : % 6.78/1.71 (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 6.78/1.71 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 6.78/1.71 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 6.78/1.71 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : % 6.78/1.71 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 6.78/1.71 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! % 6.78/1.71 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! % 6.78/1.71 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | % 6.78/1.71 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 6.78/1.71 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 6.78/1.71 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 6.78/1.71 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 6.78/1.71 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 6.78/1.71 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 6.78/1.71 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 6.78/1.71 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 6.78/1.71 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 6.78/1.71 % 6.78/1.71 Those formulas are unsatisfiable: % 6.78/1.71 --------------------------------- % 6.78/1.71 % 6.78/1.71 Begin of proof % 6.78/1.71 | % 6.78/1.71 | ALPHA: (input) implies: % 6.78/1.71 | (1) rat_$greater(rat_very_large, rat_0) = 0 % 6.78/1.71 | % 6.78/1.72 | GROUND_INST: instantiating (rat_greater_problem_6) with rat_very_large, rat_0, % 6.78/1.72 | simplifying with (1) gives: % 6.78/1.72 | (2) $false % 6.78/1.72 | % 6.78/1.72 | CLOSE: (2) is inconsistent. % 6.78/1.72 | % 6.78/1.72 End of proof % 6.78/1.72 % SZS output end Proof for theBenchmark % 6.78/1.72 % 6.78/1.72 1046ms %------------------------------------------------------------------------------