%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR067+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 : n012.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 21:37:07 EDT 2023 % Result : Theorem 5.56s 1.58s % Output : Proof 8.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : CSR067+1 : TPTP v8.1.2. Released v3.4.0. % 0.13/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.36 % Computer : n012.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Mon Aug 28 10:02:09 EDT 2023 % 0.13/0.36 % CPUTime : % 0.22/0.63 ________ _____ % 0.22/0.63 ___ __ \_________(_)________________________________ % 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.22/0.63 % 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.22/0.63 (2023-06-19) % 0.22/0.63 % 0.22/0.63 (c) Philipp Rümmer, 2009-2023 % 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.22/0.63 Amanda Stjerna. % 0.22/0.63 Free software under BSD-3-Clause. % 0.22/0.63 % 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.22/0.63 % 0.22/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.22/0.65 Running up to 7 provers in parallel. % 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.65/1.13 Prover 1: Preprocessing ... % 2.65/1.13 Prover 4: Preprocessing ... % 3.13/1.17 Prover 5: Preprocessing ... % 3.13/1.17 Prover 6: Preprocessing ... % 3.13/1.17 Prover 3: Preprocessing ... % 3.13/1.17 Prover 2: Preprocessing ... % 3.13/1.17 Prover 0: Preprocessing ... % 3.74/1.42 Prover 2: Constructing countermodel ... % 3.74/1.44 Prover 5: Proving ... % 5.56/1.53 Prover 6: Proving ... % 5.56/1.54 Prover 3: Warning: ignoring some quantifiers % 5.56/1.54 Prover 1: Warning: ignoring some quantifiers % 5.56/1.56 Prover 3: Constructing countermodel ... % 5.56/1.57 Prover 1: Constructing countermodel ... % 5.56/1.57 Prover 2: proved (917ms) % 5.56/1.58 % 5.56/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.56/1.58 % 5.56/1.58 Prover 6: stopped % 5.56/1.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.56/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.56/1.59 Prover 5: stopped % 5.56/1.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.56/1.59 Prover 3: stopped % 5.56/1.59 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.13/1.64 Prover 7: Preprocessing ... % 6.13/1.64 Prover 8: Preprocessing ... % 6.13/1.64 Prover 10: Preprocessing ... % 6.13/1.65 Prover 4: Constructing countermodel ... % 6.13/1.66 Prover 11: Preprocessing ... % 6.68/1.70 Prover 7: Constructing countermodel ... % 6.68/1.72 Prover 10: Constructing countermodel ... % 6.68/1.76 Prover 0: Proving ... % 6.68/1.77 Prover 0: stopped % 6.68/1.78 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.41/1.80 Prover 10: Found proof (size 8) % 7.41/1.80 Prover 4: Found proof (size 14) % 7.41/1.81 Prover 7: Found proof (size 8) % 7.41/1.81 Prover 7: proved (228ms) % 7.41/1.81 Prover 10: proved (222ms) % 7.41/1.81 Prover 4: proved (1153ms) % 7.41/1.81 Prover 1: stopped % 7.51/1.82 Prover 13: Preprocessing ... % 7.51/1.83 Prover 8: Warning: ignoring some quantifiers % 7.51/1.85 Prover 8: Constructing countermodel ... % 7.51/1.86 Prover 13: stopped % 7.51/1.86 Prover 8: stopped % 8.02/1.94 Prover 11: Constructing countermodel ... % 8.02/1.95 Prover 11: stopped % 8.02/1.95 % 8.02/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.02/1.95 % 8.02/1.95 % SZS output start Proof for theBenchmark % 8.02/1.96 Assumptions after simplification: % 8.02/1.96 --------------------------------- % 8.02/1.96 % 8.02/1.96 (just1) % 8.02/1.97 $i(c_georegion_l4_x29_y76) & $i(c_georegion_l4_x29_y75) & % 8.02/1.97 $i(c_tptpgeo_member7_mt) & ( ~ mtvisible(c_tptpgeo_member7_mt) | % 8.02/1.97 borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) % 8.02/1.97 % 8.02/1.97 (just28) % 8.02/1.97 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ borderson(v0, v1) | % 8.02/1.97 borderson(v1, v0)) % 8.02/1.97 % 8.02/1.97 (query67) % 8.02/1.97 $i(c_georegion_l4_x29_y75) & $i(c_tptpgeo_member7_mt) & % 8.02/1.97 mtvisible(c_tptpgeo_member7_mt) & ! [v0: $i] : ( ~ $i(v0) | ~ borderson(v0, % 8.02/1.97 c_georegion_l4_x29_y75)) % 8.02/1.97 % 8.02/1.97 Further assumptions not needed in the proof: % 8.02/1.97 -------------------------------------------- % 8.02/1.97 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 8.02/1.97 just2, just20, just21, just22, just23, just24, just25, just26, just27, just29, % 8.02/1.97 just3, just4, just5, just6, just7, just8, just9 % 8.02/1.97 % 8.02/1.97 Those formulas are unsatisfiable: % 8.02/1.97 --------------------------------- % 8.02/1.97 % 8.02/1.97 Begin of proof % 8.02/1.97 | % 8.02/1.97 | ALPHA: (query67) implies: % 8.02/1.98 | (1) mtvisible(c_tptpgeo_member7_mt) % 8.02/1.98 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ borderson(v0, c_georegion_l4_x29_y75)) % 8.02/1.98 | % 8.02/1.98 | ALPHA: (just1) implies: % 8.02/1.98 | (3) $i(c_georegion_l4_x29_y75) % 8.02/1.98 | (4) $i(c_georegion_l4_x29_y76) % 8.02/1.98 | (5) ~ mtvisible(c_tptpgeo_member7_mt) | borderson(c_georegion_l4_x29_y75, % 8.02/1.98 | c_georegion_l4_x29_y76) % 8.02/1.98 | % 8.02/1.98 | BETA: splitting (5) gives: % 8.02/1.98 | % 8.02/1.98 | Case 1: % 8.02/1.98 | | % 8.02/1.98 | | (6) ~ mtvisible(c_tptpgeo_member7_mt) % 8.02/1.98 | | % 8.02/1.98 | | PRED_UNIFY: (1), (6) imply: % 8.02/1.98 | | (7) $false % 8.02/1.98 | | % 8.02/1.98 | | CLOSE: (7) is inconsistent. % 8.02/1.98 | | % 8.02/1.98 | Case 2: % 8.02/1.98 | | % 8.02/1.98 | | (8) borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76) % 8.02/1.98 | | % 8.02/1.98 | | GROUND_INST: instantiating (just28) with c_georegion_l4_x29_y75, % 8.02/1.98 | | c_georegion_l4_x29_y76, simplifying with (3), (4), (8) gives: % 8.02/1.98 | | (9) borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75) % 8.02/1.98 | | % 8.02/1.99 | | GROUND_INST: instantiating (2) with c_georegion_l4_x29_y76, simplifying with % 8.02/1.99 | | (4), (9) gives: % 8.02/1.99 | | (10) $false % 8.02/1.99 | | % 8.02/1.99 | | CLOSE: (10) is inconsistent. % 8.02/1.99 | | % 8.02/1.99 | End of split % 8.02/1.99 | % 8.02/1.99 End of proof % 8.02/1.99 % SZS output end Proof for theBenchmark % 8.02/1.99 % 8.02/1.99 1352ms %------------------------------------------------------------------------------