%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI445_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 : n011.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 17:48:04 EDT 2023 % Result : Theorem 12.16s 2.51s % Output : Proof 12.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ARI445_1 : TPTP v8.1.2. Released v5.0.0. % 0.10/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.32 % Computer : n011.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Tue Aug 29 18:35:41 EDT 2023 % 0.11/0.33 % CPUTime : % 0.17/0.62 ________ _____ % 0.17/0.62 ___ __ \_________(_)________________________________ % 0.17/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.62 % 0.17/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.62 (2023-06-19) % 0.17/0.62 % 0.17/0.62 (c) Philipp Rümmer, 2009-2023 % 0.17/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.62 Amanda Stjerna. % 0.17/0.62 Free software under BSD-3-Clause. % 0.17/0.62 % 0.17/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.62 % 0.17/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.17/0.63 Running up to 7 provers in parallel. % 0.17/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.17/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.17/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.29/0.97 Prover 0: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 2: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 1: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 3: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 6: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 5: Warning: Problem contains reals, using incomplete axiomatisation % 1.29/0.97 Prover 4: Warning: Problem contains reals, using incomplete axiomatisation % 2.23/1.10 Prover 4: Preprocessing ... % 2.23/1.11 Prover 1: Preprocessing ... % 2.87/1.19 Prover 0: Preprocessing ... % 2.95/1.19 Prover 6: Preprocessing ... % 3.08/1.24 Prover 5: Preprocessing ... % 3.08/1.25 Prover 2: Preprocessing ... % 3.08/1.26 Prover 3: Preprocessing ... % 8.09/1.91 Prover 1: Constructing countermodel ... % 8.09/1.96 Prover 6: Proving ... % 8.09/1.98 Prover 0: Proving ... % 8.09/1.99 Prover 4: Constructing countermodel ... % 10.22/2.27 Prover 1: Found proof (size 3) % 10.22/2.27 Prover 1: proved (1623ms) % 10.22/2.27 Prover 6: stopped % 10.22/2.28 Prover 4: stopped % 10.22/2.28 Prover 0: proved (1638ms) % 10.86/2.37 Prover 3: Constructing countermodel ... % 10.86/2.38 Prover 3: stopped % 11.73/2.42 Prover 2: Proving ... % 11.73/2.42 Prover 2: stopped % 12.16/2.50 Prover 5: Proving ... % 12.16/2.51 Prover 5: stopped % 12.16/2.51 % 12.16/2.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.16/2.51 % 12.16/2.51 % SZS output start Proof for theBenchmark % 12.16/2.51 Assumptions after simplification: % 12.16/2.51 --------------------------------- % 12.16/2.51 % 12.16/2.51 (real_product_problem_10) % 12.16/2.56 ! [v0: $real] : ~ (real_$product(real_11/2, v0) = real_121/4) % 12.16/2.56 % 12.16/2.56 (input) % 12.55/2.61 ~ (real_very_large = real_very_small) & ~ (real_very_large = real_121/4) & % 12.55/2.61 ~ (real_very_large = real_11/2) & ~ (real_very_large = real_0) & ~ % 12.55/2.61 (real_very_small = real_121/4) & ~ (real_very_small = real_11/2) & ~ % 12.55/2.61 (real_very_small = real_0) & ~ (real_121/4 = real_11/2) & ~ (real_121/4 = % 12.55/2.61 real_0) & ~ (real_11/2 = real_0) & real_$is_int(real_121/4) = 1 & % 12.55/2.61 real_$is_int(real_11/2) = 1 & real_$is_int(real_0) = 0 & % 12.55/2.61 real_$is_rat(real_121/4) = 0 & real_$is_rat(real_11/2) = 0 & % 12.55/2.61 real_$is_rat(real_0) = 0 & real_$floor(real_0) = real_0 & % 12.55/2.61 real_$ceiling(real_0) = real_0 & real_$truncate(real_0) = real_0 & % 12.55/2.61 real_$round(real_0) = real_0 & real_$to_int(real_121/4) = 30 & % 12.55/2.61 real_$to_int(real_11/2) = 5 & real_$to_int(real_0) = 0 & % 12.55/2.61 real_$to_rat(real_121/4) = rat_121/4 & real_$to_rat(real_11/2) = rat_11/2 & % 12.55/2.61 real_$to_rat(real_0) = rat_0 & real_$to_real(real_121/4) = real_121/4 & % 12.55/2.61 real_$to_real(real_11/2) = real_11/2 & real_$to_real(real_0) = real_0 & % 12.55/2.61 int_$to_real(0) = real_0 & real_$quotient(real_121/4, real_11/2) = real_11/2 & % 12.55/2.61 real_$quotient(real_0, real_121/4) = real_0 & real_$quotient(real_0, % 12.55/2.61 real_11/2) = real_0 & real_$difference(real_121/4, real_121/4) = real_0 & % 12.55/2.61 real_$difference(real_121/4, real_0) = real_121/4 & % 12.55/2.61 real_$difference(real_11/2, real_11/2) = real_0 & real_$difference(real_11/2, % 12.55/2.61 real_0) = real_11/2 & real_$difference(real_0, real_0) = real_0 & % 12.55/2.61 real_$uminus(real_0) = real_0 & real_$sum(real_121/4, real_0) = real_121/4 & % 12.55/2.61 real_$sum(real_11/2, real_0) = real_11/2 & real_$sum(real_0, real_121/4) = % 12.55/2.61 real_121/4 & real_$sum(real_0, real_11/2) = real_11/2 & real_$sum(real_0, % 12.55/2.62 real_0) = real_0 & real_$greatereq(real_very_small, real_very_large) = 1 & % 12.55/2.62 real_$greatereq(real_121/4, real_121/4) = 0 & real_$greatereq(real_121/4, % 12.55/2.62 real_11/2) = 0 & real_$greatereq(real_121/4, real_0) = 0 & % 12.55/2.62 real_$greatereq(real_11/2, real_121/4) = 1 & real_$greatereq(real_11/2, % 12.55/2.62 real_11/2) = 0 & real_$greatereq(real_11/2, real_0) = 0 & % 12.55/2.62 real_$greatereq(real_0, real_121/4) = 1 & real_$greatereq(real_0, real_11/2) = % 12.55/2.62 1 & real_$greatereq(real_0, real_0) = 0 & real_$lesseq(real_very_small, % 12.55/2.62 real_very_large) = 0 & real_$lesseq(real_121/4, real_121/4) = 0 & % 12.55/2.62 real_$lesseq(real_121/4, real_11/2) = 1 & real_$lesseq(real_121/4, real_0) = 1 % 12.55/2.62 & real_$lesseq(real_11/2, real_121/4) = 0 & real_$lesseq(real_11/2, real_11/2) % 12.55/2.62 = 0 & real_$lesseq(real_11/2, real_0) = 1 & real_$lesseq(real_0, real_121/4) = % 12.55/2.62 0 & real_$lesseq(real_0, real_11/2) = 0 & real_$lesseq(real_0, real_0) = 0 & % 12.55/2.62 real_$greater(real_very_large, real_121/4) = 0 & % 12.55/2.62 real_$greater(real_very_large, real_11/2) = 0 & real_$greater(real_very_large, % 12.55/2.62 real_0) = 0 & real_$greater(real_very_small, real_very_large) = 1 & % 12.55/2.62 real_$greater(real_121/4, real_very_small) = 0 & real_$greater(real_121/4, % 12.55/2.62 real_121/4) = 1 & real_$greater(real_121/4, real_11/2) = 0 & % 12.55/2.62 real_$greater(real_121/4, real_0) = 0 & real_$greater(real_11/2, % 12.55/2.62 real_very_small) = 0 & real_$greater(real_11/2, real_121/4) = 1 & % 12.55/2.62 real_$greater(real_11/2, real_11/2) = 1 & real_$greater(real_11/2, real_0) = 0 % 12.55/2.62 & real_$greater(real_0, real_very_small) = 0 & real_$greater(real_0, % 12.55/2.62 real_121/4) = 1 & real_$greater(real_0, real_11/2) = 1 & % 12.55/2.62 real_$greater(real_0, real_0) = 1 & real_$less(real_very_small, % 12.55/2.62 real_very_large) = 0 & real_$less(real_very_small, real_121/4) = 0 & % 12.55/2.62 real_$less(real_very_small, real_11/2) = 0 & real_$less(real_very_small, % 12.55/2.62 real_0) = 0 & real_$less(real_121/4, real_very_large) = 0 & % 12.55/2.62 real_$less(real_121/4, real_121/4) = 1 & real_$less(real_121/4, real_11/2) = 1 % 12.55/2.62 & real_$less(real_121/4, real_0) = 1 & real_$less(real_11/2, real_very_large) % 12.55/2.62 = 0 & real_$less(real_11/2, real_121/4) = 0 & real_$less(real_11/2, real_11/2) % 12.55/2.62 = 1 & real_$less(real_11/2, real_0) = 1 & real_$less(real_0, real_very_large) % 12.55/2.62 = 0 & real_$less(real_0, real_121/4) = 0 & real_$less(real_0, real_11/2) = 0 & % 12.55/2.62 real_$less(real_0, real_0) = 1 & real_$product(real_121/4, real_0) = real_0 & % 12.55/2.62 real_$product(real_11/2, real_11/2) = real_121/4 & real_$product(real_11/2, % 12.55/2.62 real_0) = real_0 & real_$product(real_0, real_121/4) = real_0 & % 12.55/2.62 real_$product(real_0, real_11/2) = real_0 & real_$product(real_0, real_0) = % 12.55/2.62 real_0 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : % 12.55/2.62 ! [v4: $real] : ( ~ (real_$sum(v3, v0) = v4) | ~ (real_$sum(v2, v1) = v3) | % 12.55/2.62 ? [v5: $real] : (real_$sum(v2, v5) = v4 & real_$sum(v1, v0) = v5)) & ! [v0: % 12.55/2.62 $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: $real] : (v3 = v1 | v0 = % 12.55/2.62 real_0 | ~ (real_$quotient(v2, v0) = v3) | ~ (real_$product(v1, v0) = v2)) % 12.55/2.62 & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | % 12.55/2.62 ~ (real_$lesseq(v2, v0) = v3) | ~ (real_$lesseq(v1, v0) = 0) | ? [v4: int] % 12.55/2.62 : ( ~ (v4 = 0) & real_$lesseq(v2, v1) = v4)) & ! [v0: $real] : ! [v1: % 12.55/2.62 $real] : ! [v2: $real] : ! [v3: int] : (v3 = 0 | ~ (real_$lesseq(v1, v0) % 12.55/2.62 = 0) | ~ (real_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & % 12.55/2.62 real_$less(v2, v1) = v4)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.55/2.62 $real] : ! [v3: $real] : ( ~ (real_$uminus(v0) = v2) | ~ (real_$sum(v1, % 12.55/2.62 v2) = v3) | real_$difference(v1, v0) = v3) & ! [v0: $real] : ! [v1: % 12.55/2.62 $real] : ! [v2: $real] : (v2 = real_0 | ~ (real_$uminus(v0) = v1) | ~ % 12.55/2.62 (real_$sum(v0, v1) = v2)) & ! [v0: $real] : ! [v1: $real] : ! [v2: int] : % 12.55/2.62 (v2 = 0 | ~ (real_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 12.55/2.62 real_$lesseq(v1, v0) = v3)) & ! [v0: $real] : ! [v1: $real] : ! [v2: % 12.55/2.62 int] : (v2 = 0 | ~ (real_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: % 12.55/2.62 int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3))) & ! [v0: $real] : ! % 12.55/2.62 [v1: $real] : ! [v2: int] : (v2 = 0 | ~ (real_$greater(v0, v1) = v2) | ? % 12.55/2.62 [v3: int] : ( ~ (v3 = 0) & real_$less(v1, v0) = v3)) & ! [v0: $real] : ! % 12.55/2.62 [v1: $real] : ! [v2: $real] : ( ~ (real_$sum(v0, v1) = v2) | real_$sum(v1, % 12.55/2.62 v0) = v2) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ % 12.55/2.62 (real_$lesseq(v2, v1) = 0) | ~ (real_$less(v1, v0) = 0) | real_$less(v2, % 12.55/2.62 v0) = 0) & ! [v0: $real] : ! [v1: $real] : ! [v2: $real] : ( ~ % 12.55/2.62 (real_$product(v0, v1) = v2) | real_$product(v1, v0) = v2) & ! [v0: $real] % 12.55/2.62 : ! [v1: $real] : (v1 = v0 | ~ (real_$sum(v0, real_0) = v1)) & ! [v0: % 12.55/2.62 $real] : ! [v1: $real] : (v1 = v0 | ~ (real_$lesseq(v1, v0) = 0) | % 12.55/2.62 real_$less(v1, v0) = 0) & ! [v0: $real] : ! [v1: $real] : ( ~ % 12.55/2.62 (real_$uminus(v0) = v1) | real_$uminus(v1) = v0) & ! [v0: $real] : ! [v1: % 12.55/2.62 $real] : ( ~ (real_$greatereq(v0, v1) = 0) | real_$lesseq(v1, v0) = 0) & ! % 12.55/2.62 [v0: $real] : ! [v1: $real] : ( ~ (real_$greater(v0, v1) = 0) | % 12.55/2.62 real_$less(v1, v0) = 0) & ! [v0: $real] : (v0 = real_0 | ~ % 12.55/2.62 (real_$uminus(v0) = v0)) % 12.55/2.62 % 12.55/2.62 Those formulas are unsatisfiable: % 12.55/2.62 --------------------------------- % 12.55/2.62 % 12.55/2.62 Begin of proof % 12.55/2.62 | % 12.55/2.62 | ALPHA: (input) implies: % 12.55/2.63 | (1) real_$product(real_11/2, real_11/2) = real_121/4 % 12.55/2.63 | % 12.55/2.63 | GROUND_INST: instantiating (real_product_problem_10) with real_11/2, % 12.55/2.63 | simplifying with (1) gives: % 12.55/2.63 | (2) $false % 12.55/2.63 | % 12.55/2.63 | CLOSE: (2) is inconsistent. % 12.55/2.63 | % 12.55/2.63 End of proof % 12.55/2.63 % SZS output end Proof for theBenchmark % 12.55/2.63 % 12.55/2.63 2012ms %------------------------------------------------------------------------------