%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR048+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n004.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 21:36:48 EDT 2023 % Result : Theorem 6.22s 1.56s % Output : Proof 8.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR048+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n004.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 : Mon Aug 28 10:20:07 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.59 ________ _____ % 0.20/0.59 ___ __ \_________(_)________________________________ % 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.59 (2023-06-19) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2023 % 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.59 Amanda Stjerna. % 0.20/0.59 Free software under BSD-3-Clause. % 0.20/0.59 % 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.59 % 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.86/1.07 Prover 4: Preprocessing ... % 2.86/1.07 Prover 1: Preprocessing ... % 2.86/1.11 Prover 3: Preprocessing ... % 2.86/1.11 Prover 2: Preprocessing ... % 2.86/1.11 Prover 5: Preprocessing ... % 2.86/1.11 Prover 6: Preprocessing ... % 2.86/1.11 Prover 0: Preprocessing ... % 5.24/1.40 Prover 2: Constructing countermodel ... % 5.24/1.44 Prover 5: Proving ... % 5.60/1.50 Prover 1: Warning: ignoring some quantifiers % 5.60/1.51 Prover 3: Warning: ignoring some quantifiers % 6.22/1.53 Prover 6: Proving ... % 6.22/1.53 Prover 3: Constructing countermodel ... % 6.22/1.54 Prover 1: Constructing countermodel ... % 6.22/1.56 Prover 2: proved (944ms) % 6.22/1.56 % 6.22/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.22/1.56 % 6.22/1.56 Prover 3: stopped % 6.22/1.56 Prover 6: stopped % 6.22/1.57 Prover 5: stopped % 6.22/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.22/1.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.22/1.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.22/1.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.58/1.63 Prover 10: Preprocessing ... % 6.58/1.64 Prover 11: Preprocessing ... % 6.58/1.64 Prover 8: Preprocessing ... % 7.10/1.65 Prover 4: Constructing countermodel ... % 7.10/1.65 Prover 7: Preprocessing ... % 7.10/1.65 Prover 0: Proving ... % 7.10/1.66 Prover 0: stopped % 7.10/1.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.21/1.70 Prover 7: Constructing countermodel ... % 7.57/1.72 Prover 13: Preprocessing ... % 7.82/1.74 Prover 10: Constructing countermodel ... % 7.82/1.80 Prover 13: Constructing countermodel ... % 7.82/1.81 Prover 7: Found proof (size 9) % 7.82/1.81 Prover 7: proved (244ms) % 7.82/1.81 Prover 1: stopped % 7.82/1.81 Prover 13: stopped % 7.82/1.81 Prover 4: stopped % 7.82/1.81 Prover 10: stopped % 7.82/1.82 Prover 8: Warning: ignoring some quantifiers % 8.45/1.84 Prover 8: Constructing countermodel ... % 8.45/1.84 Prover 8: stopped % 8.71/1.89 Prover 11: Constructing countermodel ... % 8.71/1.90 Prover 11: stopped % 8.71/1.90 % 8.71/1.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.71/1.90 % 8.71/1.91 % SZS output start Proof for theBenchmark % 8.71/1.91 Assumptions after simplification: % 8.71/1.91 --------------------------------- % 8.71/1.91 % 8.71/1.91 (just1) % 8.71/1.92 $i(c_tptpgeo_member1_mt) & $i(c_tptpgeo_spindlecollectormt) & % 8.71/1.92 genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt) % 8.71/1.92 % 8.71/1.92 (just2) % 8.71/1.92 $i(c_georegion_l4_x45_y10) & $i(c_georegion_l4_x45_y9) & % 8.71/1.92 $i(c_tptpgeo_member1_mt) & ( ~ mtvisible(c_tptpgeo_member1_mt) | % 8.71/1.92 borderson(c_georegion_l4_x45_y9, c_georegion_l4_x45_y10)) % 8.71/1.92 % 8.71/1.92 (just31) % 8.71/1.92 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ mtvisible(v0) | ~ % 8.71/1.92 genlmt(v0, v1) | mtvisible(v1)) % 8.71/1.92 % 8.71/1.92 (query48) % 8.71/1.92 $i(c_georegion_l4_x45_y9) & $i(c_tptpgeo_spindlecollectormt) & % 8.71/1.92 mtvisible(c_tptpgeo_spindlecollectormt) & ! [v0: $i] : ( ~ $i(v0) | ~ % 8.71/1.92 borderson(c_georegion_l4_x45_y9, v0)) % 8.71/1.92 % 8.71/1.92 Further assumptions not needed in the proof: % 8.71/1.92 -------------------------------------------- % 8.71/1.92 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 8.71/1.92 just20, just21, just22, just23, just24, just25, just26, just27, just28, just29, % 8.71/1.92 just3, just30, just32, just33, just34, just35, just36, just37, just38, just39, % 8.71/1.92 just4, just5, just6, just7, just8, just9 % 8.71/1.92 % 8.71/1.92 Those formulas are unsatisfiable: % 8.71/1.92 --------------------------------- % 8.71/1.92 % 8.71/1.92 Begin of proof % 8.71/1.93 | % 8.71/1.93 | ALPHA: (query48) implies: % 8.71/1.93 | (1) mtvisible(c_tptpgeo_spindlecollectormt) % 8.71/1.93 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ borderson(c_georegion_l4_x45_y9, v0)) % 8.71/1.93 | % 8.71/1.93 | ALPHA: (just2) implies: % 8.71/1.93 | (3) $i(c_georegion_l4_x45_y10) % 8.71/1.93 | (4) ~ mtvisible(c_tptpgeo_member1_mt) | borderson(c_georegion_l4_x45_y9, % 8.71/1.93 | c_georegion_l4_x45_y10) % 8.71/1.93 | % 8.71/1.93 | ALPHA: (just1) implies: % 8.71/1.93 | (5) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member1_mt) % 8.71/1.93 | (6) $i(c_tptpgeo_spindlecollectormt) % 8.71/1.93 | (7) $i(c_tptpgeo_member1_mt) % 8.71/1.93 | % 8.71/1.93 | GROUND_INST: instantiating (just31) with c_tptpgeo_spindlecollectormt, % 8.71/1.93 | c_tptpgeo_member1_mt, simplifying with (1), (5), (6), (7) gives: % 8.71/1.93 | (8) mtvisible(c_tptpgeo_member1_mt) % 8.71/1.93 | % 8.71/1.93 | BETA: splitting (4) gives: % 8.71/1.93 | % 8.71/1.93 | Case 1: % 8.71/1.93 | | % 8.71/1.93 | | (9) ~ mtvisible(c_tptpgeo_member1_mt) % 8.71/1.93 | | % 8.71/1.93 | | PRED_UNIFY: (8), (9) imply: % 8.71/1.93 | | (10) $false % 8.71/1.94 | | % 8.71/1.94 | | CLOSE: (10) is inconsistent. % 8.71/1.94 | | % 8.71/1.94 | Case 2: % 8.71/1.94 | | % 8.71/1.94 | | (11) borderson(c_georegion_l4_x45_y9, c_georegion_l4_x45_y10) % 8.71/1.94 | | % 8.71/1.94 | | GROUND_INST: instantiating (2) with c_georegion_l4_x45_y10, simplifying with % 8.71/1.94 | | (3), (11) gives: % 8.71/1.94 | | (12) $false % 8.71/1.94 | | % 8.71/1.94 | | CLOSE: (12) is inconsistent. % 8.71/1.94 | | % 8.71/1.94 | End of split % 8.71/1.94 | % 8.71/1.94 End of proof % 8.71/1.94 % SZS output end Proof for theBenchmark % 8.71/1.94 % 8.71/1.94 1341ms %------------------------------------------------------------------------------