%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR047+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 : n031.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 21:36:47 EDT 2023 % Result : Theorem 5.30s 1.44s % Output : Proof 7.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR047+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 : n031.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 09:37:09 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 % 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 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 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 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 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 % 2.61/1.03 Prover 1: Preprocessing ... % 2.61/1.03 Prover 4: Preprocessing ... % 2.61/1.06 Prover 0: Preprocessing ... % 2.61/1.06 Prover 3: Preprocessing ... % 2.61/1.06 Prover 6: Preprocessing ... % 2.61/1.06 Prover 5: Preprocessing ... % 2.61/1.06 Prover 2: Preprocessing ... % 4.09/1.31 Prover 5: Constructing countermodel ... % 4.09/1.31 Prover 2: Constructing countermodel ... % 4.76/1.38 Prover 6: Constructing countermodel ... % 4.76/1.39 Prover 3: Constructing countermodel ... % 5.30/1.43 Prover 1: Constructing countermodel ... % 5.30/1.43 Prover 5: proved (811ms) % 5.30/1.43 % 5.30/1.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.30/1.44 % 5.30/1.44 Prover 6: stopped % 5.30/1.44 Prover 2: proved (816ms) % 5.30/1.44 % 5.30/1.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.30/1.44 % 5.30/1.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.30/1.44 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.30/1.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.30/1.45 Prover 3: stopped % 5.30/1.45 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.66/1.50 Prover 10: Preprocessing ... % 5.66/1.50 Prover 7: Preprocessing ... % 5.66/1.51 Prover 4: Constructing countermodel ... % 5.66/1.51 Prover 8: Preprocessing ... % 5.66/1.51 Prover 11: Preprocessing ... % 5.66/1.52 Prover 0: Proving ... % 5.66/1.54 Prover 0: stopped % 5.66/1.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.40/1.56 Prover 10: Constructing countermodel ... % 6.40/1.58 Prover 13: Preprocessing ... % 6.40/1.59 Prover 7: Constructing countermodel ... % 6.70/1.63 Prover 13: Constructing countermodel ... % 6.70/1.64 Prover 1: Found proof (size 16) % 6.70/1.64 Prover 1: proved (1023ms) % 6.70/1.64 Prover 4: Found proof (size 18) % 6.70/1.64 Prover 10: Found proof (size 7) % 6.70/1.64 Prover 10: proved (197ms) % 6.70/1.64 Prover 4: proved (1022ms) % 6.70/1.64 Prover 7: Found proof (size 7) % 6.70/1.64 Prover 7: proved (200ms) % 6.70/1.64 Prover 13: stopped % 7.03/1.67 Prover 8: Warning: ignoring some quantifiers % 7.03/1.69 Prover 8: Constructing countermodel ... % 7.03/1.69 Prover 8: stopped % 7.03/1.71 Prover 11: Constructing countermodel ... % 7.03/1.72 Prover 11: stopped % 7.03/1.72 % 7.03/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.03/1.72 % 7.03/1.72 % SZS output start Proof for theBenchmark % 7.03/1.73 Assumptions after simplification: % 7.03/1.73 --------------------------------- % 7.03/1.73 % 7.03/1.73 (just1) % 7.58/1.75 $i(c_georegion_l4_x37_y50) & $i(c_georegion_l4_x36_y50) & % 7.58/1.75 $i(c_tptpgeo_member4_mt) & ? [v0: any] : ? [v1: any] : % 7.58/1.75 (mtvisible(c_tptpgeo_member4_mt) = v0 & borderson(c_georegion_l4_x36_y50, % 7.58/1.75 c_georegion_l4_x37_y50) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 7.58/1.75 % 7.58/1.75 (just28) % 7.58/1.76 ! [v0: $i] : ! [v1: $i] : ( ~ (borderson(v0, v1) = 0) | ~ $i(v1) | ~ % 7.58/1.76 $i(v0) | borderson(v1, v0) = 0) % 7.58/1.76 % 7.58/1.76 (query47) % 7.58/1.76 $i(c_georegion_l4_x37_y50) & $i(c_georegion_l4_x36_y50) & % 7.58/1.76 $i(c_tptpgeo_member4_mt) & ? [v0: int] : ( ~ (v0 = 0) & % 7.58/1.76 mtvisible(c_tptpgeo_member4_mt) = 0 & borderson(c_georegion_l4_x37_y50, % 7.58/1.76 c_georegion_l4_x36_y50) = v0) % 7.58/1.76 % 7.58/1.76 (function-axioms) % 7.58/1.77 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 7.58/1.77 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! % 7.58/1.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 7.58/1.77 $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = % 7.58/1.77 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 7.58/1.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ % 7.58/1.77 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.58/1.77 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) % 7.58/1.77 = v1) | ~ (isa(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.58/1.77 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.58/1.77 (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) & ! [v0: % 7.58/1.77 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 7.58/1.77 : (v1 = v0 | ~ (borderson(v3, v2) = v1) | ~ (borderson(v3, v2) = v0)) & ! % 7.58/1.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 7.58/1.77 | ~ (geographicalregion(v2) = v1) | ~ (geographicalregion(v2) = v0)) & ! % 7.58/1.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 7.58/1.77 | ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : % 7.58/1.77 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) % 7.58/1.77 | ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.58/1.77 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) % 7.58/1.77 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.58/1.77 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ % 7.58/1.77 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.58/1.77 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ % 7.58/1.77 (mtvisible(v2) = v0)) % 7.58/1.77 % 7.58/1.77 Further assumptions not needed in the proof: % 7.58/1.77 -------------------------------------------- % 7.58/1.77 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 7.58/1.77 just2, just20, just21, just22, just23, just24, just25, just26, just27, just29, % 7.58/1.77 just3, just4, just5, just6, just7, just8, just9 % 7.58/1.77 % 7.58/1.77 Those formulas are unsatisfiable: % 7.58/1.77 --------------------------------- % 7.58/1.77 % 7.58/1.77 Begin of proof % 7.58/1.77 | % 7.58/1.77 | ALPHA: (just1) implies: % 7.58/1.77 | (1) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member4_mt) = v0 & % 7.58/1.77 | borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50) = v1 & ( ~ % 7.58/1.77 | (v0 = 0) | v1 = 0)) % 7.58/1.77 | % 7.58/1.77 | ALPHA: (query47) implies: % 7.58/1.77 | (2) $i(c_georegion_l4_x36_y50) % 7.58/1.77 | (3) $i(c_georegion_l4_x37_y50) % 7.58/1.77 | (4) ? [v0: int] : ( ~ (v0 = 0) & mtvisible(c_tptpgeo_member4_mt) = 0 & % 7.58/1.77 | borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = v0) % 7.58/1.78 | % 7.58/1.78 | ALPHA: (function-axioms) implies: % 7.58/1.78 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 7.58/1.78 | (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 7.58/1.78 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 7.58/1.78 | ! [v3: $i] : (v1 = v0 | ~ (borderson(v3, v2) = v1) | ~ % 7.58/1.78 | (borderson(v3, v2) = v0)) % 7.58/1.78 | % 7.58/1.78 | DELTA: instantiating (4) with fresh symbol all_31_0 gives: % 7.58/1.78 | (7) ~ (all_31_0 = 0) & mtvisible(c_tptpgeo_member4_mt) = 0 & % 7.58/1.78 | borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = all_31_0 % 7.58/1.78 | % 7.58/1.78 | ALPHA: (7) implies: % 7.58/1.78 | (8) ~ (all_31_0 = 0) % 7.58/1.78 | (9) borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = all_31_0 % 7.58/1.78 | (10) mtvisible(c_tptpgeo_member4_mt) = 0 % 7.58/1.78 | % 7.58/1.78 | DELTA: instantiating (1) with fresh symbols all_33_0, all_33_1 gives: % 7.58/1.78 | (11) mtvisible(c_tptpgeo_member4_mt) = all_33_1 & % 7.58/1.78 | borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50) = all_33_0 & % 7.58/1.78 | ( ~ (all_33_1 = 0) | all_33_0 = 0) % 7.58/1.78 | % 7.58/1.78 | ALPHA: (11) implies: % 7.58/1.78 | (12) borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50) = all_33_0 % 7.58/1.78 | (13) mtvisible(c_tptpgeo_member4_mt) = all_33_1 % 7.58/1.78 | (14) ~ (all_33_1 = 0) | all_33_0 = 0 % 7.58/1.78 | % 7.58/1.78 | GROUND_INST: instantiating (5) with 0, all_33_1, c_tptpgeo_member4_mt, % 7.58/1.78 | simplifying with (10), (13) gives: % 7.58/1.78 | (15) all_33_1 = 0 % 7.58/1.78 | % 7.58/1.78 | BETA: splitting (14) gives: % 7.58/1.78 | % 7.58/1.78 | Case 1: % 7.58/1.78 | | % 7.58/1.78 | | (16) ~ (all_33_1 = 0) % 7.58/1.78 | | % 7.58/1.78 | | REDUCE: (15), (16) imply: % 7.58/1.78 | | (17) $false % 7.58/1.78 | | % 7.58/1.78 | | CLOSE: (17) is inconsistent. % 7.58/1.78 | | % 7.58/1.78 | Case 2: % 7.58/1.78 | | % 7.58/1.78 | | (18) all_33_0 = 0 % 7.58/1.78 | | % 7.58/1.78 | | REDUCE: (12), (18) imply: % 7.58/1.78 | | (19) borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50) = 0 % 7.58/1.78 | | % 7.58/1.78 | | GROUND_INST: instantiating (just28) with c_georegion_l4_x36_y50, % 7.58/1.78 | | c_georegion_l4_x37_y50, simplifying with (2), (3), (19) gives: % 7.58/1.78 | | (20) borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = 0 % 7.58/1.78 | | % 7.58/1.78 | | GROUND_INST: instantiating (6) with all_31_0, 0, c_georegion_l4_x36_y50, % 7.58/1.79 | | c_georegion_l4_x37_y50, simplifying with (9), (20) gives: % 7.58/1.79 | | (21) all_31_0 = 0 % 7.58/1.79 | | % 7.58/1.79 | | REDUCE: (8), (21) imply: % 7.58/1.79 | | (22) $false % 7.58/1.79 | | % 7.58/1.79 | | CLOSE: (22) is inconsistent. % 7.58/1.79 | | % 7.58/1.79 | End of split % 7.58/1.79 | % 7.58/1.79 End of proof % 7.58/1.79 % SZS output end Proof for theBenchmark % 7.58/1.79 % 7.58/1.79 1191ms %------------------------------------------------------------------------------