%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO547+1 : TPTP v8.1.2. Released v7.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n013.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 23:23:40 EDT 2023 % Result : Theorem 36.65s 5.53s % Output : Proof 49.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO547+1 : TPTP v8.1.2. Released v7.5.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n013.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 : Tue Aug 29 21:19:16 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.74/1.48 Prover 4: Preprocessing ... % 5.74/1.48 Prover 1: Preprocessing ... % 5.74/1.50 Prover 6: Preprocessing ... % 5.74/1.50 Prover 5: Preprocessing ... % 5.74/1.50 Prover 2: Preprocessing ... % 5.74/1.50 Prover 3: Preprocessing ... % 5.74/1.50 Prover 0: Preprocessing ... % 10.70/2.11 Prover 5: Proving ... % 10.70/2.12 Prover 2: Proving ... % 11.99/2.28 Prover 6: Proving ... % 12.15/2.31 Prover 1: Warning: ignoring some quantifiers % 12.39/2.33 Prover 3: Warning: ignoring some quantifiers % 12.39/2.40 Prover 3: Constructing countermodel ... % 12.95/2.41 Prover 1: Constructing countermodel ... % 13.52/2.51 Prover 4: Warning: ignoring some quantifiers % 13.52/2.59 Prover 0: Proving ... % 13.52/2.62 Prover 4: Constructing countermodel ... % 36.65/5.53 Prover 2: proved (4903ms) % 36.65/5.53 % 36.65/5.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 36.65/5.53 % 36.65/5.53 Prover 3: stopped % 36.65/5.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 36.65/5.54 Prover 5: stopped % 36.65/5.54 Prover 6: stopped % 36.65/5.55 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 36.65/5.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 36.65/5.55 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 37.41/5.58 Prover 0: stopped % 37.41/5.58 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 39.03/5.88 Prover 8: Preprocessing ... % 39.77/5.89 Prover 11: Preprocessing ... % 39.77/5.89 Prover 7: Preprocessing ... % 39.77/5.89 Prover 13: Preprocessing ... % 39.91/5.91 Prover 10: Preprocessing ... % 40.71/6.08 Prover 7: Warning: ignoring some quantifiers % 41.36/6.10 Prover 7: Constructing countermodel ... % 41.36/6.10 Prover 10: Warning: ignoring some quantifiers % 41.36/6.10 Prover 13: Warning: ignoring some quantifiers % 41.36/6.11 Prover 13: Constructing countermodel ... % 41.36/6.12 Prover 10: Constructing countermodel ... % 42.23/6.20 Prover 8: Warning: ignoring some quantifiers % 42.23/6.22 Prover 8: Constructing countermodel ... % 44.12/6.46 Prover 11: Warning: ignoring some quantifiers % 44.70/6.53 Prover 11: Constructing countermodel ... % 48.80/7.06 Prover 13: Found proof (size 17) % 48.80/7.06 Prover 13: proved (1479ms) % 48.80/7.06 Prover 11: stopped % 48.80/7.06 Prover 7: stopped % 48.80/7.06 Prover 10: stopped % 48.80/7.06 Prover 8: stopped % 48.80/7.07 Prover 1: stopped % 48.80/7.07 Prover 4: stopped % 48.80/7.07 % 48.80/7.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 48.80/7.07 % 48.80/7.07 % SZS output start Proof for theBenchmark % 48.80/7.08 Assumptions after simplification: % 48.80/7.08 --------------------------------- % 48.80/7.08 % 48.80/7.08 (exemplo6GDDFULL012007) % 48.80/7.08 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 48.80/7.08 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v8) & $i(v7) & $i(v6) & % 48.80/7.08 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & circle(v3, v0, v4, v8) % 48.80/7.08 & circle(v3, v0, v1, v2) & perp(v7, v4, v0, v1) & perp(v6, v4, v0, v2) & % 48.80/7.08 perp(v5, v4, v1, v2) & coll(v7, v0, v1) & coll(v6, v0, v2) & coll(v5, v1, % 48.80/7.08 v2) & ~ coll(v5, v6, v7)) % 48.80/7.08 % 48.80/7.08 (ruleD1) % 48.80/7.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 48.80/7.08 ~ coll(v0, v1, v2) | coll(v0, v2, v1)) % 48.80/7.08 % 48.80/7.08 (ruleD3) % 48.80/7.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 48.80/7.08 | ~ $i(v1) | ~ $i(v0) | ~ coll(v0, v1, v3) | ~ coll(v0, v1, v2) | % 48.80/7.08 coll(v2, v3, v0)) % 48.80/7.08 % 48.80/7.08 Further assumptions not needed in the proof: % 48.80/7.08 -------------------------------------------- % 48.80/7.08 ruleD10, ruleD11, ruleD12, ruleD13, ruleD14, ruleD15, ruleD16, ruleD17, ruleD18, % 48.80/7.08 ruleD19, ruleD2, ruleD20, ruleD21, ruleD22, ruleD23, ruleD24, ruleD25, ruleD26, % 48.80/7.08 ruleD27, ruleD28, ruleD29, ruleD30, ruleD31, ruleD32, ruleD33, ruleD34, ruleD35, % 48.80/7.08 ruleD36, ruleD37, ruleD38, ruleD39, ruleD4, ruleD40, ruleD41, ruleD42a, % 48.80/7.08 ruleD42b, ruleD43, ruleD44, ruleD45, ruleD46, ruleD47, ruleD48, ruleD49, ruleD5, % 48.80/7.08 ruleD50, ruleD51, ruleD52, ruleD53, ruleD54, ruleD55, ruleD56, ruleD57, ruleD58, % 48.80/7.09 ruleD59, ruleD6, ruleD60, ruleD61, ruleD62, ruleD63, ruleD64, ruleD65, ruleD66, % 48.80/7.09 ruleD67, ruleD68, ruleD69, ruleD7, ruleD70, ruleD71, ruleD72, ruleD73, ruleD74, % 48.80/7.09 ruleD75, ruleD8, ruleD9, ruleX1, ruleX10, ruleX11, ruleX12, ruleX13, ruleX14, % 48.80/7.09 ruleX15, ruleX16, ruleX17, ruleX18, ruleX2, ruleX3, ruleX4, ruleX5, ruleX6, % 48.80/7.09 ruleX7, ruleX8, ruleX9 % 48.80/7.09 % 48.80/7.09 Those formulas are unsatisfiable: % 48.80/7.09 --------------------------------- % 48.80/7.09 % 48.80/7.09 Begin of proof % 48.80/7.09 | % 48.80/7.09 | DELTA: instantiating (exemplo6GDDFULL012007) with fresh symbols all_97_0, % 48.80/7.09 | all_97_1, all_97_2, all_97_3, all_97_4, all_97_5, all_97_6, all_97_7, % 48.80/7.09 | all_97_8 gives: % 48.80/7.09 | (1) $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3) & % 48.80/7.09 | $i(all_97_4) & $i(all_97_5) & $i(all_97_6) & $i(all_97_7) & % 48.80/7.09 | $i(all_97_8) & circle(all_97_5, all_97_8, all_97_4, all_97_0) & % 48.80/7.09 | circle(all_97_5, all_97_8, all_97_7, all_97_6) & perp(all_97_1, % 48.80/7.09 | all_97_4, all_97_8, all_97_7) & perp(all_97_2, all_97_4, all_97_8, % 48.80/7.09 | all_97_6) & perp(all_97_3, all_97_4, all_97_7, all_97_6) & % 48.80/7.09 | coll(all_97_1, all_97_8, all_97_7) & coll(all_97_2, all_97_8, all_97_6) % 48.80/7.09 | & coll(all_97_3, all_97_7, all_97_6) & ~ coll(all_97_3, all_97_2, % 48.80/7.09 | all_97_1) % 48.80/7.09 | % 48.80/7.09 | ALPHA: (1) implies: % 48.80/7.09 | (2) ~ coll(all_97_3, all_97_2, all_97_1) % 48.80/7.09 | (3) coll(all_97_3, all_97_7, all_97_6) % 48.80/7.09 | (4) coll(all_97_2, all_97_8, all_97_6) % 48.80/7.09 | (5) coll(all_97_1, all_97_8, all_97_7) % 48.80/7.09 | (6) $i(all_97_8) % 48.80/7.09 | (7) $i(all_97_7) % 48.80/7.09 | (8) $i(all_97_6) % 48.80/7.09 | (9) $i(all_97_3) % 48.80/7.09 | (10) $i(all_97_2) % 48.80/7.09 | (11) $i(all_97_1) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD1) with all_97_3, all_97_7, all_97_6, % 48.80/7.09 | simplifying with (3), (7), (8), (9) gives: % 48.80/7.09 | (12) coll(all_97_3, all_97_6, all_97_7) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_8, all_97_6, % 48.80/7.09 | simplifying with (4), (6), (8), (10) gives: % 48.80/7.09 | (13) coll(all_97_2, all_97_6, all_97_8) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_8, all_97_7, % 48.80/7.09 | all_97_7, simplifying with (5), (6), (7), (11) gives: % 48.80/7.09 | (14) coll(all_97_7, all_97_7, all_97_1) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD1) with all_97_1, all_97_8, all_97_7, % 48.80/7.09 | simplifying with (5), (6), (7), (11) gives: % 48.80/7.09 | (15) coll(all_97_1, all_97_7, all_97_8) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD3) with all_97_3, all_97_6, all_97_7, % 48.80/7.09 | all_97_7, simplifying with (7), (8), (9), (12) gives: % 48.80/7.09 | (16) coll(all_97_7, all_97_7, all_97_3) % 48.80/7.09 | % 48.80/7.09 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_6, all_97_8, % 48.80/7.09 | all_97_8, simplifying with (6), (8), (10), (13) gives: % 48.80/7.09 | (17) coll(all_97_8, all_97_8, all_97_2) % 48.80/7.09 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_7, all_97_8, % 48.80/7.10 | all_97_8, simplifying with (6), (7), (11), (15) gives: % 48.80/7.10 | (18) coll(all_97_8, all_97_8, all_97_1) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_8, all_97_8, all_97_2, % 48.80/7.10 | all_97_1, simplifying with (6), (10), (11), (17), (18) gives: % 48.80/7.10 | (19) coll(all_97_2, all_97_1, all_97_8) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_7, all_97_7, all_97_3, % 48.80/7.10 | all_97_1, simplifying with (7), (9), (11), (14), (16) gives: % 48.80/7.10 | (20) coll(all_97_3, all_97_1, all_97_7) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD1) with all_97_3, all_97_1, all_97_7, % 48.80/7.10 | simplifying with (7), (9), (11), (20) gives: % 48.80/7.10 | (21) coll(all_97_3, all_97_7, all_97_1) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_1, all_97_8, % 48.80/7.10 | simplifying with (6), (10), (11), (19) gives: % 48.80/7.10 | (22) coll(all_97_2, all_97_8, all_97_1) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_3, all_97_7, all_97_1, % 48.80/7.10 | all_97_1, simplifying with (7), (9), (11), (21) gives: % 48.80/7.10 | (23) coll(all_97_1, all_97_1, all_97_3) % 48.80/7.10 | % 48.80/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_8, all_97_1, % 48.80/7.10 | all_97_1, simplifying with (6), (10), (11), (22) gives: % 48.80/7.10 | (24) coll(all_97_1, all_97_1, all_97_2) % 48.80/7.10 | % 49.08/7.10 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_1, all_97_3, % 49.08/7.10 | all_97_2, simplifying with (2), (9), (10), (11), (23), (24) % 49.08/7.10 | gives: % 49.08/7.10 | (25) $false % 49.08/7.10 | % 49.08/7.10 | CLOSE: (25) is inconsistent. % 49.08/7.10 | % 49.08/7.10 End of proof % 49.08/7.10 % SZS output end Proof for theBenchmark % 49.08/7.10 % 49.08/7.10 6496ms %------------------------------------------------------------------------------