%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ARI244_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 : n029.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 5.49s 1.47s % Output : Proof 9.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : ARI244_1 : TPTP v8.1.2. Released v5.0.0. % 0.04/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n029.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Tue Aug 29 18:24:27 EDT 2023 % 0.14/0.36 % CPUTime : % 0.51/0.64 ________ _____ % 0.51/0.64 ___ __ \_________(_)________________________________ % 0.51/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.51/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.51/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.51/0.64 % 0.51/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.51/0.64 (2023-06-19) % 0.67/0.64 % 0.67/0.64 (c) Philipp Rümmer, 2009-2023 % 0.67/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.67/0.64 Amanda Stjerna. % 0.67/0.64 Free software under BSD-3-Clause. % 0.67/0.64 % 0.67/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.67/0.64 % 0.67/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.65 Running up to 7 provers in parallel. % 0.67/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.35/0.92 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.35/0.92 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 2.07/0.99 Prover 1: Preprocessing ... % 2.07/0.99 Prover 4: Preprocessing ... % 2.50/1.05 Prover 6: Preprocessing ... % 2.50/1.05 Prover 0: Preprocessing ... % 2.78/1.10 Prover 5: Preprocessing ... % 2.78/1.13 Prover 2: Preprocessing ... % 2.78/1.13 Prover 3: Preprocessing ... % 4.91/1.42 Prover 6: Constructing countermodel ... % 4.91/1.44 Prover 0: Constructing countermodel ... % 5.49/1.46 Prover 0: proved (807ms) % 5.49/1.47 % 5.49/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.49/1.47 % 5.49/1.47 Prover 6: proved (805ms) % 5.49/1.47 % 5.49/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.49/1.47 % 5.81/1.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.81/1.48 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 5.81/1.48 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.81/1.48 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 5.81/1.49 Prover 8: Preprocessing ... % 6.25/1.54 Prover 7: Preprocessing ... % 6.25/1.55 Prover 1: Constructing countermodel ... % 6.40/1.57 Prover 2: stopped % 6.40/1.59 Prover 4: Constructing countermodel ... % 6.40/1.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.40/1.59 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 6.91/1.66 Prover 10: Preprocessing ... % 6.91/1.67 Prover 8: Warning: ignoring some quantifiers % 7.23/1.68 Prover 1: Found proof (size 3) % 7.23/1.68 Prover 1: proved (1024ms) % 7.23/1.68 Prover 4: Found proof (size 3) % 7.23/1.68 Prover 4: proved (1023ms) % 7.23/1.68 Prover 8: Constructing countermodel ... % 7.23/1.71 Prover 8: stopped % 8.06/1.80 Prover 7: stopped % 8.57/1.87 Prover 10: stopped % 8.57/1.91 Prover 3: Constructing countermodel ... % 8.57/1.91 Prover 3: stopped % 8.57/1.91 Prover 5: Constructing countermodel ... % 8.57/1.91 Prover 5: stopped % 8.57/1.92 % 8.57/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.57/1.92 % 9.01/1.92 % SZS output start Proof for theBenchmark % 9.01/1.92 Assumptions after simplification: % 9.01/1.92 --------------------------------- % 9.01/1.92 % 9.01/1.92 (rat_not_equal_problem_1) % 9.01/1.92 rat_1/16 = rat_2/5 % 9.01/1.92 % 9.01/1.92 (input) % 9.27/1.97 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_1/16) & ~ % 9.27/1.97 (rat_very_large = rat_2/5) & ~ (rat_very_large = rat_0) & ~ (rat_very_small % 9.27/1.97 = rat_1/16) & ~ (rat_very_small = rat_2/5) & ~ (rat_very_small = rat_0) & % 9.27/1.97 ~ (rat_1/16 = rat_2/5) & ~ (rat_1/16 = rat_0) & ~ (rat_2/5 = rat_0) & % 9.27/1.97 rat_$is_int(rat_1/16) = 1 & rat_$is_int(rat_2/5) = 1 & rat_$is_int(rat_0) = 0 % 9.27/1.97 & rat_$is_rat(rat_1/16) = 0 & rat_$is_rat(rat_2/5) = 0 & rat_$is_rat(rat_0) = % 9.27/1.97 0 & rat_$floor(rat_1/16) = rat_0 & rat_$floor(rat_2/5) = rat_0 & % 9.27/1.97 rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0) = rat_0 & % 9.27/1.97 rat_$truncate(rat_1/16) = rat_0 & rat_$truncate(rat_2/5) = rat_0 & % 9.27/1.97 rat_$truncate(rat_0) = rat_0 & rat_$round(rat_1/16) = rat_0 & % 9.27/1.97 rat_$round(rat_2/5) = rat_0 & rat_$round(rat_0) = rat_0 & % 9.27/1.97 rat_$to_int(rat_1/16) = 0 & rat_$to_int(rat_2/5) = 0 & rat_$to_int(rat_0) = 0 % 9.27/1.97 & rat_$to_rat(rat_1/16) = rat_1/16 & rat_$to_rat(rat_2/5) = rat_2/5 & % 9.27/1.97 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_1/16) = real_1/16 & % 9.27/1.97 rat_$to_real(rat_2/5) = real_2/5 & rat_$to_real(rat_0) = real_0 & % 9.27/1.97 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_1/16) = rat_0 & % 9.27/1.97 rat_$quotient(rat_0, rat_2/5) = rat_0 & rat_$product(rat_1/16, rat_0) = rat_0 % 9.27/1.97 & rat_$product(rat_2/5, rat_0) = rat_0 & rat_$product(rat_0, rat_1/16) = rat_0 % 9.27/1.97 & rat_$product(rat_0, rat_2/5) = rat_0 & rat_$product(rat_0, rat_0) = rat_0 & % 9.27/1.97 rat_$difference(rat_1/16, rat_1/16) = rat_0 & rat_$difference(rat_1/16, rat_0) % 9.27/1.97 = rat_1/16 & rat_$difference(rat_2/5, rat_2/5) = rat_0 & % 9.27/1.97 rat_$difference(rat_2/5, rat_0) = rat_2/5 & rat_$difference(rat_0, rat_0) = % 9.27/1.97 rat_0 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_1/16, rat_0) = rat_1/16 & % 9.27/1.97 rat_$sum(rat_2/5, rat_0) = rat_2/5 & rat_$sum(rat_0, rat_1/16) = rat_1/16 & % 9.27/1.97 rat_$sum(rat_0, rat_2/5) = rat_2/5 & rat_$sum(rat_0, rat_0) = rat_0 & % 9.27/1.97 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_1/16, % 9.27/1.97 rat_1/16) = 0 & rat_$greatereq(rat_1/16, rat_2/5) = 1 & % 9.27/1.97 rat_$greatereq(rat_1/16, rat_0) = 0 & rat_$greatereq(rat_2/5, rat_1/16) = 0 & % 9.27/1.97 rat_$greatereq(rat_2/5, rat_2/5) = 0 & rat_$greatereq(rat_2/5, rat_0) = 0 & % 9.27/1.97 rat_$greatereq(rat_0, rat_1/16) = 1 & rat_$greatereq(rat_0, rat_2/5) = 1 & % 9.27/1.97 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) % 9.27/1.97 = 0 & rat_$lesseq(rat_1/16, rat_1/16) = 0 & rat_$lesseq(rat_1/16, rat_2/5) = 0 % 9.27/1.97 & rat_$lesseq(rat_1/16, rat_0) = 1 & rat_$lesseq(rat_2/5, rat_1/16) = 1 & % 9.27/1.97 rat_$lesseq(rat_2/5, rat_2/5) = 0 & rat_$lesseq(rat_2/5, rat_0) = 1 & % 9.27/1.97 rat_$lesseq(rat_0, rat_1/16) = 0 & rat_$lesseq(rat_0, rat_2/5) = 0 & % 9.27/1.97 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_1/16) = 0 & % 9.27/1.97 rat_$greater(rat_very_large, rat_2/5) = 0 & rat_$greater(rat_very_large, % 9.27/1.97 rat_0) = 0 & rat_$greater(rat_very_small, rat_very_large) = 1 & % 9.27/1.97 rat_$greater(rat_1/16, rat_very_small) = 0 & rat_$greater(rat_1/16, rat_1/16) % 9.27/1.97 = 1 & rat_$greater(rat_1/16, rat_2/5) = 1 & rat_$greater(rat_1/16, rat_0) = 0 % 9.27/1.97 & rat_$greater(rat_2/5, rat_very_small) = 0 & rat_$greater(rat_2/5, rat_1/16) % 9.27/1.97 = 0 & rat_$greater(rat_2/5, rat_2/5) = 1 & rat_$greater(rat_2/5, rat_0) = 0 & % 9.27/1.97 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_1/16) = 1 & % 9.27/1.97 rat_$greater(rat_0, rat_2/5) = 1 & rat_$greater(rat_0, rat_0) = 1 & % 9.27/1.97 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small, % 9.27/1.97 rat_1/16) = 0 & rat_$less(rat_very_small, rat_2/5) = 0 & % 9.27/1.97 rat_$less(rat_very_small, rat_0) = 0 & rat_$less(rat_1/16, rat_very_large) = 0 % 9.27/1.97 & rat_$less(rat_1/16, rat_1/16) = 1 & rat_$less(rat_1/16, rat_2/5) = 0 & % 9.27/1.97 rat_$less(rat_1/16, rat_0) = 1 & rat_$less(rat_2/5, rat_very_large) = 0 & % 9.27/1.97 rat_$less(rat_2/5, rat_1/16) = 1 & rat_$less(rat_2/5, rat_2/5) = 1 & % 9.27/1.97 rat_$less(rat_2/5, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 & % 9.27/1.97 rat_$less(rat_0, rat_1/16) = 0 & rat_$less(rat_0, rat_2/5) = 0 & % 9.27/1.97 rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 9.27/1.97 ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, % 9.27/1.97 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = % 9.27/1.97 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 % 9.27/1.97 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, % 9.27/1.97 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: % 9.27/1.97 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = % 9.27/1.97 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: % 9.27/1.97 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 9.27/1.97 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ % 9.27/1.98 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! % 9.27/1.98 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) % 9.27/1.98 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! % 9.27/1.98 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = % 9.27/1.98 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ % 9.27/1.98 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) & % 9.27/1.98 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] % 9.27/1.98 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 9.27/1.98 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] : % 9.27/1.98 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ % 9.27/1.98 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! % 9.27/1.98 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! % 9.27/1.98 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | % 9.27/1.98 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ % 9.27/1.98 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) = % 9.27/1.98 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = % 9.27/1.98 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0) % 9.27/1.98 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ % 9.27/1.98 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: % 9.27/1.98 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 9.27/1.98 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 9.27/1.98 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) % 9.27/1.98 % 9.27/1.98 Those formulas are unsatisfiable: % 9.27/1.98 --------------------------------- % 9.27/1.98 % 9.27/1.98 Begin of proof % 9.27/1.98 | % 9.27/1.98 | ALPHA: (input) implies: % 9.27/1.98 | (1) ~ (rat_1/16 = rat_2/5) % 9.27/1.98 | % 9.27/1.98 | REDUCE: (1), (rat_not_equal_problem_1) imply: % 9.27/1.98 | (2) $false % 9.27/1.98 | % 9.27/1.98 | CLOSE: (2) is inconsistent. % 9.27/1.98 | % 9.27/1.98 End of proof % 9.27/1.98 % SZS output end Proof for theBenchmark % 9.27/1.98 % 9.27/1.98 1345ms %------------------------------------------------------------------------------