%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n019.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 : Thu Aug 31 17:43:57 EDT 2023 % Result : Theorem 4.02s 1.40s % Output : Proof 6.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.17 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0. % 0.13/0.18 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.39 % Computer : n019.cluster.edu % 0.14/0.39 % Model : x86_64 x86_64 % 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.39 % Memory : 8042.1875MB % 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.39 % CPULimit : 300 % 0.14/0.39 % WCLimit : 300 % 0.14/0.39 % DateTime : Wed Aug 23 12:13:46 EDT 2023 % 0.14/0.39 % CPUTime : % 0.21/0.66 ________ _____ % 0.21/0.66 ___ __ \_________(_)________________________________ % 0.21/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.66 % 0.21/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.66 (2023-06-19) % 0.21/0.66 % 0.21/0.66 (c) Philipp Rümmer, 2009-2023 % 0.21/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.66 Amanda Stjerna. % 0.21/0.66 Free software under BSD-3-Clause. % 0.21/0.66 % 0.21/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.66 % 0.21/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.68 Running up to 7 provers in parallel. % 0.21/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.98/1.06 Prover 4: Preprocessing ... % 1.98/1.06 Prover 1: Preprocessing ... % 2.32/1.11 Prover 6: Preprocessing ... % 2.32/1.11 Prover 3: Preprocessing ... % 2.32/1.11 Prover 5: Preprocessing ... % 2.32/1.11 Prover 2: Preprocessing ... % 2.32/1.11 Prover 0: Preprocessing ... % 3.37/1.23 Prover 5: Constructing countermodel ... % 3.37/1.23 Prover 1: Constructing countermodel ... % 3.37/1.24 Prover 6: Constructing countermodel ... % 3.53/1.25 Prover 3: Constructing countermodel ... % 3.53/1.25 Prover 4: Constructing countermodel ... % 3.53/1.28 Prover 2: Proving ... % 3.53/1.29 Prover 0: Proving ... % 4.02/1.34 Prover 3: gave up % 4.02/1.35 Prover 1: gave up % 4.02/1.36 Prover 6: gave up % 4.02/1.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.02/1.36 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.02/1.36 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 4.02/1.38 Prover 8: Preprocessing ... % 4.02/1.38 Prover 7: Preprocessing ... % 4.02/1.39 Prover 9: Preprocessing ... % 4.02/1.40 Prover 5: proved (711ms) % 4.02/1.40 % 4.02/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.02/1.40 % 4.02/1.41 Prover 2: stopped % 4.02/1.42 Prover 0: stopped % 4.02/1.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.02/1.43 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.02/1.43 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.02/1.43 Prover 8: Warning: ignoring some quantifiers % 4.02/1.44 Prover 8: Constructing countermodel ... % 4.02/1.44 Prover 11: Preprocessing ... % 4.02/1.44 Prover 10: Preprocessing ... % 4.02/1.44 Prover 7: Constructing countermodel ... % 4.02/1.45 Prover 13: Preprocessing ... % 4.02/1.48 Prover 10: Constructing countermodel ... % 4.02/1.52 Prover 13: Constructing countermodel ... % 4.02/1.52 Prover 9: Constructing countermodel ... % 4.02/1.53 Prover 9: stopped % 4.02/1.53 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 4.02/1.53 Prover 8: gave up % 4.86/1.53 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 4.86/1.54 Prover 10: gave up % 4.86/1.54 Prover 16: Preprocessing ... % 4.86/1.54 Prover 19: Preprocessing ... % 4.86/1.55 Prover 11: Constructing countermodel ... % 4.86/1.56 Prover 7: Found proof (size 16) % 4.86/1.56 Prover 7: proved (212ms) % 4.86/1.56 Prover 11: stopped % 4.86/1.56 Prover 13: stopped % 4.86/1.56 Prover 4: stopped % 4.86/1.57 Prover 16: Constructing countermodel ... % 4.86/1.58 Prover 16: stopped % 4.86/1.59 Prover 19: Warning: ignoring some quantifiers % 4.86/1.60 Prover 19: Constructing countermodel ... % 4.86/1.60 Prover 19: stopped % 4.86/1.60 % 4.86/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.86/1.60 % 4.86/1.61 % SZS output start Proof for theBenchmark % 5.88/1.61 Assumptions after simplification: % 5.88/1.61 --------------------------------- % 5.88/1.62 % 5.88/1.62 (t146_relat_1) % 6.02/1.67 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ~ % 6.02/1.67 relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & relation_image(v0, v2) % 6.02/1.67 = v1 & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 6.02/1.67 (relation_dom(v0) = v1) | ~ $i(v0) | ~ relation(v0) | ? [v2: $i] : % 6.02/1.67 (relation_rng(v0) = v2 & relation_image(v0, v1) = v2 & $i(v2))) % 6.02/1.67 % 6.02/1.67 (t17_finset_1) % 6.02/1.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_image(v1, v0) = v2) | % 6.02/1.67 ~ $i(v1) | ~ $i(v0) | ~ finite(v0) | ~ function(v1) | ~ relation(v1) | % 6.02/1.67 finite(v2)) % 6.02/1.67 % 6.02/1.67 (t26_finset_1) % 6.02/1.67 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (relation_rng(v0) = v2 & % 6.02/1.67 relation_dom(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & finite(v1) & function(v0) % 6.02/1.67 & relation(v0) & ~ finite(v2)) % 6.02/1.67 % 6.02/1.67 (function-axioms) % 6.02/1.68 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 6.02/1.68 (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0)) & ! [v0: % 6.02/1.68 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ % 6.02/1.68 (relation_rng(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 6.02/1.68 v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) % 6.02/1.68 % 6.02/1.68 Further assumptions not needed in the proof: % 6.02/1.68 -------------------------------------------- % 6.02/1.68 dt_k1_relat_1, dt_k2_relat_1, dt_k9_relat_1, fc13_finset_1, rc1_funct_1 % 6.02/1.68 % 6.02/1.68 Those formulas are unsatisfiable: % 6.02/1.68 --------------------------------- % 6.02/1.68 % 6.02/1.68 Begin of proof % 6.02/1.68 | % 6.02/1.68 | ALPHA: (t146_relat_1) implies: % 6.02/1.69 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | % 6.02/1.69 | ~ relation(v0) | ? [v2: $i] : (relation_rng(v0) = v2 & % 6.02/1.69 | relation_image(v0, v1) = v2 & $i(v2))) % 6.02/1.69 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | % 6.02/1.69 | ~ relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & % 6.02/1.69 | relation_image(v0, v2) = v1 & $i(v2) & $i(v1))) % 6.02/1.69 | % 6.02/1.69 | ALPHA: (function-axioms) implies: % 6.02/1.69 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 6.02/1.69 | (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) % 6.02/1.69 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 6.02/1.69 | (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) % 6.02/1.69 | % 6.02/1.70 | DELTA: instantiating (t26_finset_1) with fresh symbols all_8_0, all_8_1, % 6.02/1.70 | all_8_2 gives: % 6.02/1.70 | (5) relation_rng(all_8_2) = all_8_0 & relation_dom(all_8_2) = all_8_1 & % 6.02/1.70 | $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & finite(all_8_1) & % 6.02/1.70 | function(all_8_2) & relation(all_8_2) & ~ finite(all_8_0) % 6.02/1.70 | % 6.02/1.70 | ALPHA: (5) implies: % 6.02/1.70 | (6) ~ finite(all_8_0) % 6.02/1.70 | (7) relation(all_8_2) % 6.02/1.70 | (8) function(all_8_2) % 6.02/1.70 | (9) finite(all_8_1) % 6.02/1.70 | (10) $i(all_8_2) % 6.02/1.70 | (11) relation_dom(all_8_2) = all_8_1 % 6.02/1.70 | (12) relation_rng(all_8_2) = all_8_0 % 6.02/1.70 | % 6.02/1.70 | GROUND_INST: instantiating (1) with all_8_2, all_8_1, simplifying with (7), % 6.02/1.70 | (10), (11) gives: % 6.02/1.71 | (13) ? [v0: $i] : (relation_rng(all_8_2) = v0 & relation_image(all_8_2, % 6.02/1.71 | all_8_1) = v0 & $i(v0)) % 6.02/1.71 | % 6.02/1.71 | GROUND_INST: instantiating (2) with all_8_2, all_8_0, simplifying with (7), % 6.02/1.71 | (10), (12) gives: % 6.02/1.71 | (14) ? [v0: $i] : (relation_dom(all_8_2) = v0 & relation_image(all_8_2, % 6.02/1.71 | v0) = all_8_0 & $i(v0) & $i(all_8_0)) % 6.02/1.71 | % 6.02/1.71 | DELTA: instantiating (13) with fresh symbol all_19_0 gives: % 6.02/1.71 | (15) relation_rng(all_8_2) = all_19_0 & relation_image(all_8_2, all_8_1) = % 6.02/1.71 | all_19_0 & $i(all_19_0) % 6.02/1.71 | % 6.02/1.71 | ALPHA: (15) implies: % 6.02/1.71 | (16) relation_image(all_8_2, all_8_1) = all_19_0 % 6.02/1.71 | (17) relation_rng(all_8_2) = all_19_0 % 6.02/1.71 | % 6.02/1.71 | DELTA: instantiating (14) with fresh symbol all_21_0 gives: % 6.02/1.71 | (18) relation_dom(all_8_2) = all_21_0 & relation_image(all_8_2, all_21_0) = % 6.02/1.71 | all_8_0 & $i(all_21_0) & $i(all_8_0) % 6.02/1.71 | % 6.02/1.71 | ALPHA: (18) implies: % 6.02/1.71 | (19) $i(all_21_0) % 6.02/1.71 | (20) relation_dom(all_8_2) = all_21_0 % 6.02/1.71 | % 6.02/1.71 | GROUND_INST: instantiating (3) with all_8_1, all_21_0, all_8_2, simplifying % 6.02/1.71 | with (11), (20) gives: % 6.02/1.71 | (21) all_21_0 = all_8_1 % 6.02/1.72 | % 6.02/1.72 | GROUND_INST: instantiating (4) with all_8_0, all_19_0, all_8_2, simplifying % 6.02/1.72 | with (12), (17) gives: % 6.02/1.72 | (22) all_19_0 = all_8_0 % 6.02/1.72 | % 6.02/1.72 | REDUCE: (16), (22) imply: % 6.02/1.72 | (23) relation_image(all_8_2, all_8_1) = all_8_0 % 6.02/1.72 | % 6.02/1.72 | REDUCE: (19), (21) imply: % 6.02/1.72 | (24) $i(all_8_1) % 6.02/1.72 | % 6.02/1.72 | GROUND_INST: instantiating (t17_finset_1) with all_8_1, all_8_2, all_8_0, % 6.02/1.72 | simplifying with (6), (7), (8), (9), (10), (23), (24) gives: % 6.02/1.72 | (25) $false % 6.02/1.72 | % 6.02/1.72 | CLOSE: (25) is inconsistent. % 6.02/1.72 | % 6.02/1.72 End of proof % 6.02/1.72 % SZS output end Proof for theBenchmark % 6.02/1.72 % 6.02/1.72 1059ms %------------------------------------------------------------------------------