%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU303+3 : TPTP v8.1.2. Released v3.2.0. % 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 : Thu Aug 31 17:43:57 EDT 2023 % Result : Theorem 14.64s 2.90s % Output : Proof 18.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU303+3 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Aug 23 14:52:54 EDT 2023 % 0.15/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.29/1.21 Prover 1: Preprocessing ... % 3.29/1.22 Prover 4: Preprocessing ... % 3.90/1.25 Prover 5: Preprocessing ... % 3.90/1.25 Prover 0: Preprocessing ... % 3.90/1.25 Prover 6: Preprocessing ... % 3.90/1.25 Prover 3: Preprocessing ... % 3.90/1.25 Prover 2: Preprocessing ... % 7.74/1.79 Prover 2: Proving ... % 7.74/1.79 Prover 5: Proving ... % 7.74/1.80 Prover 1: Warning: ignoring some quantifiers % 7.74/1.85 Prover 1: Constructing countermodel ... % 8.33/1.88 Prover 3: Warning: ignoring some quantifiers % 8.57/1.93 Prover 3: Constructing countermodel ... % 8.57/1.94 Prover 6: Proving ... % 8.57/1.98 Prover 4: Warning: ignoring some quantifiers % 9.23/2.04 Prover 4: Constructing countermodel ... % 9.23/2.10 Prover 0: Proving ... % 13.63/2.76 Prover 3: gave up % 13.63/2.77 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.64/2.87 Prover 7: Preprocessing ... % 14.64/2.90 Prover 5: proved (2266ms) % 14.64/2.90 % 14.64/2.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.64/2.90 % 15.77/2.91 Prover 2: stopped % 15.77/2.91 Prover 0: stopped % 15.77/2.93 Prover 6: stopped % 15.77/2.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.77/2.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.77/2.95 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.77/2.95 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.77/2.96 Prover 7: Warning: ignoring some quantifiers % 15.77/2.98 Prover 7: Constructing countermodel ... % 15.77/2.99 Prover 10: Preprocessing ... % 16.44/3.02 Prover 8: Preprocessing ... % 16.44/3.04 Prover 11: Preprocessing ... % 16.44/3.05 Prover 13: Preprocessing ... % 16.44/3.08 Prover 10: Warning: ignoring some quantifiers % 16.44/3.08 Prover 10: Constructing countermodel ... % 17.19/3.15 Prover 13: Warning: ignoring some quantifiers % 17.19/3.16 Prover 8: Warning: ignoring some quantifiers % 17.19/3.17 Prover 8: Constructing countermodel ... % 17.19/3.18 Prover 13: Constructing countermodel ... % 18.01/3.25 Prover 10: gave up % 18.01/3.26 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 18.01/3.28 Prover 7: Found proof (size 16) % 18.01/3.28 Prover 7: proved (511ms) % 18.01/3.28 Prover 13: stopped % 18.01/3.28 Prover 4: stopped % 18.01/3.28 Prover 8: stopped % 18.01/3.28 Prover 1: stopped % 18.01/3.29 Prover 11: Warning: ignoring some quantifiers % 18.73/3.31 Prover 11: Constructing countermodel ... % 18.73/3.31 Prover 16: Preprocessing ... % 18.73/3.32 Prover 11: stopped % 18.73/3.33 Prover 16: stopped % 18.73/3.33 % 18.73/3.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.73/3.33 % 18.73/3.34 % SZS output start Proof for theBenchmark % 18.73/3.34 Assumptions after simplification: % 18.73/3.34 --------------------------------- % 18.73/3.34 % 18.73/3.34 (t146_relat_1) % 18.73/3.36 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ~ % 18.73/3.36 relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & relation_image(v0, v2) % 18.73/3.36 = v1 & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 18.73/3.36 (relation_dom(v0) = v1) | ~ $i(v0) | ~ relation(v0) | ? [v2: $i] : % 18.73/3.36 (relation_rng(v0) = v2 & relation_image(v0, v1) = v2 & $i(v2))) % 18.73/3.36 % 18.73/3.36 (t17_finset_1) % 18.73/3.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_image(v1, v0) = v2) | % 18.73/3.36 ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | ~ function(v1) | ~ finite(v0) | % 18.73/3.36 finite(v2)) % 18.73/3.36 % 18.73/3.36 (t26_finset_1) % 18.73/3.37 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (relation_rng(v0) = v2 & % 18.73/3.37 relation_dom(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & relation(v0) & % 18.73/3.37 function(v0) & finite(v1) & ~ finite(v2)) % 18.73/3.37 % 18.73/3.37 (function-axioms) % 18.73/3.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.73/3.37 (relation_image(v3, v2) = v1) | ~ (relation_image(v3, v2) = v0)) & ! [v0: % 18.73/3.37 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ % 18.73/3.37 (relation_rng(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.73/3.37 v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0: $i] % 18.73/3.37 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ % 18.73/3.37 (powerset(v2) = v0)) % 18.73/3.37 % 18.73/3.37 Further assumptions not needed in the proof: % 18.73/3.37 -------------------------------------------- % 18.73/3.37 antisymmetry_r2_hidden, cc1_arytm_3, cc1_finset_1, cc1_funct_1, cc1_ordinal1, % 18.73/3.37 cc1_relat_1, cc2_arytm_3, cc2_finset_1, cc2_funct_1, cc2_ordinal1, cc3_ordinal1, % 18.73/3.37 cc4_arytm_3, existence_m1_subset_1, fc12_relat_1, fc13_finset_1, fc1_subset_1, % 18.73/3.37 fc1_xboole_0, fc2_ordinal1, fc4_relat_1, fc5_ordinal1, fc5_relat_1, fc6_funct_1, % 18.73/3.37 fc6_relat_1, fc7_relat_1, fc8_arytm_3, fc8_relat_1, rc1_arytm_3, rc1_finset_1, % 18.73/3.37 rc1_funcop_1, rc1_funct_1, rc1_ordinal1, rc1_ordinal2, rc1_relat_1, % 18.73/3.37 rc1_subset_1, rc1_xboole_0, rc2_arytm_3, rc2_finset_1, rc2_funct_1, % 18.73/3.37 rc2_ordinal1, rc2_ordinal2, rc2_relat_1, rc2_subset_1, rc2_xboole_0, % 18.73/3.37 rc3_arytm_3, rc3_finset_1, rc3_funct_1, rc3_ordinal1, rc3_relat_1, rc4_funct_1, % 18.73/3.37 rc4_ordinal1, rc5_funct_1, reflexivity_r1_tarski, t1_subset, t2_subset, % 18.73/3.37 t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole % 18.73/3.37 % 18.73/3.37 Those formulas are unsatisfiable: % 18.73/3.37 --------------------------------- % 18.73/3.37 % 18.73/3.37 Begin of proof % 18.73/3.37 | % 18.73/3.37 | ALPHA: (t146_relat_1) implies: % 18.73/3.37 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | % 18.73/3.37 | ~ relation(v0) | ? [v2: $i] : (relation_rng(v0) = v2 & % 18.73/3.37 | relation_image(v0, v1) = v2 & $i(v2))) % 18.73/3.38 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | % 18.73/3.38 | ~ relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & % 18.73/3.38 | relation_image(v0, v2) = v1 & $i(v2) & $i(v1))) % 18.73/3.38 | % 18.73/3.38 | ALPHA: (function-axioms) implies: % 18.73/3.38 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 18.73/3.38 | (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) % 18.73/3.38 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 18.73/3.38 | (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) % 18.73/3.38 | % 18.73/3.38 | DELTA: instantiating (t26_finset_1) with fresh symbols all_82_0, all_82_1, % 18.73/3.38 | all_82_2 gives: % 18.73/3.38 | (5) relation_rng(all_82_2) = all_82_0 & relation_dom(all_82_2) = all_82_1 & % 18.73/3.38 | $i(all_82_0) & $i(all_82_1) & $i(all_82_2) & relation(all_82_2) & % 18.73/3.38 | function(all_82_2) & finite(all_82_1) & ~ finite(all_82_0) % 18.73/3.38 | % 18.73/3.38 | ALPHA: (5) implies: % 18.73/3.38 | (6) ~ finite(all_82_0) % 18.73/3.38 | (7) finite(all_82_1) % 18.73/3.38 | (8) function(all_82_2) % 18.73/3.38 | (9) relation(all_82_2) % 18.73/3.38 | (10) $i(all_82_2) % 18.73/3.38 | (11) relation_dom(all_82_2) = all_82_1 % 18.73/3.38 | (12) relation_rng(all_82_2) = all_82_0 % 18.73/3.38 | % 18.73/3.38 | GROUND_INST: instantiating (1) with all_82_2, all_82_1, simplifying with (9), % 18.73/3.38 | (10), (11) gives: % 18.73/3.38 | (13) ? [v0: $i] : (relation_rng(all_82_2) = v0 & relation_image(all_82_2, % 18.73/3.38 | all_82_1) = v0 & $i(v0)) % 18.73/3.38 | % 18.73/3.38 | GROUND_INST: instantiating (2) with all_82_2, all_82_0, simplifying with (9), % 18.73/3.38 | (10), (12) gives: % 18.73/3.38 | (14) ? [v0: $i] : (relation_dom(all_82_2) = v0 & relation_image(all_82_2, % 18.73/3.38 | v0) = all_82_0 & $i(v0) & $i(all_82_0)) % 18.73/3.38 | % 18.73/3.38 | DELTA: instantiating (13) with fresh symbol all_94_0 gives: % 18.73/3.38 | (15) relation_rng(all_82_2) = all_94_0 & relation_image(all_82_2, all_82_1) % 18.73/3.38 | = all_94_0 & $i(all_94_0) % 18.73/3.38 | % 18.73/3.38 | ALPHA: (15) implies: % 18.73/3.38 | (16) relation_image(all_82_2, all_82_1) = all_94_0 % 18.73/3.38 | (17) relation_rng(all_82_2) = all_94_0 % 18.73/3.38 | % 18.73/3.38 | DELTA: instantiating (14) with fresh symbol all_96_0 gives: % 18.73/3.39 | (18) relation_dom(all_82_2) = all_96_0 & relation_image(all_82_2, all_96_0) % 18.73/3.39 | = all_82_0 & $i(all_96_0) & $i(all_82_0) % 18.73/3.39 | % 18.73/3.39 | ALPHA: (18) implies: % 18.73/3.39 | (19) $i(all_96_0) % 18.73/3.39 | (20) relation_dom(all_82_2) = all_96_0 % 18.73/3.39 | % 18.73/3.39 | GROUND_INST: instantiating (3) with all_82_1, all_96_0, all_82_2, simplifying % 18.73/3.39 | with (11), (20) gives: % 18.73/3.39 | (21) all_96_0 = all_82_1 % 18.73/3.39 | % 18.73/3.39 | GROUND_INST: instantiating (4) with all_82_0, all_94_0, all_82_2, simplifying % 18.73/3.39 | with (12), (17) gives: % 18.73/3.39 | (22) all_94_0 = all_82_0 % 18.73/3.39 | % 18.73/3.39 | REDUCE: (16), (22) imply: % 18.73/3.39 | (23) relation_image(all_82_2, all_82_1) = all_82_0 % 18.73/3.39 | % 18.73/3.39 | REDUCE: (19), (21) imply: % 18.73/3.39 | (24) $i(all_82_1) % 18.73/3.39 | % 18.73/3.39 | GROUND_INST: instantiating (t17_finset_1) with all_82_1, all_82_2, all_82_0, % 18.73/3.39 | simplifying with (6), (7), (8), (9), (10), (23), (24) gives: % 18.73/3.39 | (25) $false % 18.73/3.39 | % 18.73/3.39 | CLOSE: (25) is inconsistent. % 18.73/3.39 | % 18.73/3.39 End of proof % 18.73/3.39 % SZS output end Proof for theBenchmark % 18.73/3.39 % 18.73/3.39 2783ms %------------------------------------------------------------------------------