%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI399_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 : n015.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 17:47:54 EDT 2023 % Result : Theorem 5.78s 1.57s % Output : Proof 9.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI399_1 : TPTP v8.1.2. Released v5.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n015.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 18:59:41 EDT 2023 % 0.13/0.34 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.62 Running up to 7 provers in parallel. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.64/0.94 Prover 3: 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 0: 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 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.64/0.94 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 2.04/1.01 Prover 1: Preprocessing ... % 2.04/1.01 Prover 4: Preprocessing ... % 2.68/1.08 Prover 0: Preprocessing ... % 2.68/1.08 Prover 6: Preprocessing ... % 3.09/1.14 Prover 3: Preprocessing ... % 3.09/1.15 Prover 5: Preprocessing ... % 3.09/1.15 Prover 2: Preprocessing ... % 5.61/1.53 Prover 6: Constructing countermodel ... % 5.78/1.56 Prover 0: Constructing countermodel ... % 5.78/1.56 Prover 6: proved (924ms) % 5.78/1.57 % 5.78/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.78/1.57 % 5.78/1.58 Prover 0: proved (936ms) % 5.78/1.58 % 5.78/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.78/1.58 % 5.78/1.59 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.78/1.59 Prover 7: Warning: Problem contains reals, using incomplete axiomatisation % 5.78/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.78/1.60 Prover 8: Warning: Problem contains reals, using incomplete axiomatisation % 5.78/1.61 Prover 8: Preprocessing ... % 6.31/1.65 Prover 1: Constructing countermodel ... % 6.31/1.66 Prover 7: Preprocessing ... % 7.21/1.75 Prover 2: stopped % 7.21/1.76 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.21/1.76 Prover 10: Warning: Problem contains reals, using incomplete axiomatisation % 7.43/1.78 Prover 4: Constructing countermodel ... % 7.43/1.80 Prover 1: Found proof (size 3) % 7.43/1.80 Prover 1: proved (1167ms) % 7.43/1.82 Prover 4: stopped % 7.43/1.82 Prover 10: Preprocessing ... % 7.84/1.84 Prover 8: Warning: ignoring some quantifiers % 7.99/1.87 Prover 8: Constructing countermodel ... % 7.99/1.90 Prover 8: stopped % 8.50/1.95 Prover 7: stopped % 8.86/2.08 Prover 3: Constructing countermodel ... % 8.86/2.08 Prover 3: stopped % 8.86/2.08 Prover 5: Constructing countermodel ... % 8.86/2.08 Prover 5: stopped % 8.86/2.09 Prover 10: stopped % 8.86/2.09 % 8.86/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.86/2.09 % 8.86/2.09 % SZS output start Proof for theBenchmark % 8.86/2.09 Assumptions after simplification: % 8.86/2.09 --------------------------------- % 8.86/2.09 % 8.86/2.09 (real_not_equal_problem_1) % 8.86/2.10 real_969/100 = real_59/4 % 8.86/2.10 % 8.86/2.10 (input) % 8.86/2.14 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_969/100) & % 8.86/2.14 ~ (real_very_large = real_59/4) & ~ (real_very_large = real_0) & ~ % 8.86/2.14 (real_very_small = real_969/100) & ~ (real_very_small = real_59/4) & ~ % 8.86/2.14 (real_very_small = real_0) & ~ (real_969/100 = real_59/4) & ~ (real_969/100 % 8.86/2.14 = real_0) & ~ (real_59/4 = real_0) & real_$is_int(real_969/100) = 1 & % 8.86/2.14 real_$is_int(real_59/4) = 1 & real_$is_int(real_0) = 0 & % 8.86/2.14 real_$is_rat(real_969/100) = 0 & real_$is_rat(real_59/4) = 0 & % 8.86/2.14 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 & % 8.86/2.14 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 & % 8.86/2.14 real_$round(real_0) = real_0 & real_$to_int(real_969/100) = 9 & % 8.86/2.14 real_$to_int(real_59/4) = 14 & real_$to_int(real_0) = 0 & % 8.86/2.14 real_$to_rat(real_969/100) = rat_969/100 & real_$to_rat(real_59/4) = rat_59/4 % 8.86/2.14 & real_$to_rat(real_0) = rat_0 & real_$to_real(real_969/100) = real_969/100 & % 8.86/2.14 real_$to_real(real_59/4) = real_59/4 & real_$to_real(real_0) = real_0 & % 8.86/2.14 int_$to_real(0) = real_0 & real_$quotient(real_0, real_969/100) = real_0 & % 8.86/2.14 real_$quotient(real_0, real_59/4) = real_0 & real_$product(real_969/100, % 8.86/2.14 real_0) = real_0 & real_$product(real_59/4, real_0) = real_0 & % 8.86/2.14 real_$product(real_0, real_969/100) = real_0 & real_$product(real_0, % 8.86/2.14 real_59/4) = real_0 & real_$product(real_0, real_0) = real_0 & % 8.86/2.14 real_$difference(real_969/100, real_969/100) = real_0 & % 8.86/2.14 real_$difference(real_969/100, real_0) = real_969/100 & % 8.86/2.14 real_$difference(real_59/4, real_59/4) = real_0 & real_$difference(real_59/4, % 8.86/2.14 real_0) = real_59/4 & real_$difference(real_0, real_0) = real_0 & % 8.86/2.14 real_$uminus(real_0) = real_0 & real_$sum(real_969/100, real_0) = real_969/100 % 8.86/2.14 & real_$sum(real_59/4, real_0) = real_59/4 & real_$sum(real_0, real_969/100) = % 8.86/2.14 real_969/100 & real_$sum(real_0, real_59/4) = real_59/4 & real_$sum(real_0, % 8.86/2.14 real_0) = real_0 & real_$greatereq(real_very_small, real_very_large) = 1 & % 8.86/2.14 real_$greatereq(real_969/100, real_969/100) = 0 & % 8.86/2.14 real_$greatereq(real_969/100, real_59/4) = 1 & real_$greatereq(real_969/100, % 8.86/2.15 real_0) = 0 & real_$greatereq(real_59/4, real_969/100) = 0 & % 8.86/2.15 real_$greatereq(real_59/4, real_59/4) = 0 & real_$greatereq(real_59/4, real_0) % 8.86/2.15 = 0 & real_$greatereq(real_0, real_969/100) = 1 & real_$greatereq(real_0, % 8.86/2.15 real_59/4) = 1 & real_$greatereq(real_0, real_0) = 0 & % 8.86/2.15 real_$lesseq(real_very_small, real_very_large) = 0 & % 8.86/2.15 real_$lesseq(real_969/100, real_969/100) = 0 & real_$lesseq(real_969/100, % 8.86/2.15 real_59/4) = 0 & real_$lesseq(real_969/100, real_0) = 1 & % 8.86/2.15 real_$lesseq(real_59/4, real_969/100) = 1 & real_$lesseq(real_59/4, real_59/4) % 8.86/2.15 = 0 & real_$lesseq(real_59/4, real_0) = 1 & real_$lesseq(real_0, real_969/100) % 8.86/2.15 = 0 & real_$lesseq(real_0, real_59/4) = 0 & real_$lesseq(real_0, real_0) = 0 & % 8.86/2.15 real_$greater(real_very_large, real_969/100) = 0 & % 8.86/2.15 real_$greater(real_very_large, real_59/4) = 0 & real_$greater(real_very_large, % 8.86/2.15 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 & % 8.86/2.15 real_$greater(real_969/100, real_very_small) = 0 & real_$greater(real_969/100, % 8.86/2.15 real_969/100) = 1 & real_$greater(real_969/100, real_59/4) = 1 & % 8.86/2.15 real_$greater(real_969/100, real_0) = 0 & real_$greater(real_59/4, % 8.86/2.15 real_very_small) = 0 & real_$greater(real_59/4, real_969/100) = 0 & % 8.86/2.15 real_$greater(real_59/4, real_59/4) = 1 & real_$greater(real_59/4, real_0) = 0 % 8.86/2.15 & real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0, % 8.86/2.15 real_969/100) = 1 & real_$greater(real_0, real_59/4) = 1 & % 8.86/2.15 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small, % 8.86/2.15 real_very_large) = 0 & real_$less(real_very_small, real_969/100) = 0 & % 8.86/2.15 real_$less(real_very_small, real_59/4) = 0 & real_$less(real_very_small, % 8.86/2.15 real_0) = 0 & real_$less(real_969/100, real_very_large) = 0 & % 8.86/2.15 real_$less(real_969/100, real_969/100) = 1 & real_$less(real_969/100, % 8.86/2.15 real_59/4) = 0 & real_$less(real_969/100, real_0) = 1 & % 8.86/2.15 real_$less(real_59/4, real_very_large) = 0 & real_$less(real_59/4, % 8.86/2.15 real_969/100) = 1 & real_$less(real_59/4, real_59/4) = 1 & % 8.86/2.15 real_$less(real_59/4, real_0) = 1 & real_$less(real_0, real_very_large) = 0 & % 8.86/2.15 real_$less(real_0, real_969/100) = 0 & real_$less(real_0, real_59/4) = 0 & % 8.86/2.15 real_$less(real_0, real_0) = 1 & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 $real] : ! [v3: $real] : ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ % 8.86/2.15 (real_$sum(v2, v1) = v3) | ? [v5: $real] : (real_$sum(v2, v5) = v4 & % 8.86/2.15 real_$sum(v1, v0) = v5)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 $real] : ! [v3: $real] : (v3 = v1 | v0 = real_0 | ~ (real_$quotient(v2, % 8.86/2.15 v0) = v3) | ~ (real_$product(v1, v0) = v2)) & ! [v0: $real] : ! [v1: % 8.86/2.15 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v2, v0) % 8.86/2.15 = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & % 8.86/2.15 real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) = 0) | ~ % 8.86/2.15 (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & real_$less(v2, v1) % 8.86/2.15 = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] % 8.86/2.15 : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, v2) = v3) | % 8.86/2.15 real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ (real_$sum(v0, v1) = % 8.86/2.15 v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : (v2 = 0 | ~ % 8.86/2.15 (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 8.86/2.15 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: % 8.86/2.15 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : ! % 8.86/2.15 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 8.86/2.15 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 8.86/2.15 [v1: $real] : ! [v2: $real] : ( ~ (real_$product(v0, v1) = v2) | % 8.86/2.15 real_$product(v1, v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 8.86/2.15 $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, v0) = v2) & ! [v0: % 8.86/2.15 $real] : ! [v1: $real] : ! [v2: $real] : ( ~ (real_$lesseq(v2, v1) = 0) | % 8.86/2.15 ~ (real_$less(v1, v0) = 0) | real_$less(v2, v0) = 0) & ! [v0: $real] : ! % 8.86/2.15 [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: $real] : % 8.86/2.15 ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | real_$less(v1, v0) % 8.86/2.15 = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ (real_$uminus(v0) = v1) | % 8.86/2.15 real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 8.86/2.15 (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! [v0: $real] : % 8.86/2.15 ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | real_$less(v1, v0) = 0) & % 8.86/2.15 ! [v0: $real] : (v0 = real_0 | ~ (real_$uminus(v0) = v0)) % 8.86/2.15 % 8.86/2.15 Those formulas are unsatisfiable: % 8.86/2.15 --------------------------------- % 8.86/2.15 % 8.86/2.15 Begin of proof % 8.86/2.15 | % 8.86/2.15 | ALPHA: (input) implies: % 8.86/2.15 | (1) ~ (real_969/100 = real_59/4) % 8.86/2.15 | % 8.86/2.15 | REDUCE: (1), (real_not_equal_problem_1) imply: % 8.86/2.15 | (2) $false % 8.86/2.15 | % 8.86/2.15 | CLOSE: (2) is inconsistent. % 8.86/2.15 | % 8.86/2.15 End of proof % 9.81/2.15 % SZS output end Proof for theBenchmark % 9.81/2.15 % 9.81/2.15 1544ms %------------------------------------------------------------------------------