%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO579+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 : n006.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 23:23:45 EDT 2023 % Result : Theorem 233.41s 32.16s % Output : Proof 233.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n006.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 21:37:51 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.63/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.63/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.63/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.63/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.63/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.63/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.63/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 5.25/1.42 Prover 4: Preprocessing ... % 5.25/1.42 Prover 1: Preprocessing ... % 5.46/1.46 Prover 2: Preprocessing ... % 5.46/1.46 Prover 6: Preprocessing ... % 5.46/1.47 Prover 3: Preprocessing ... % 5.46/1.48 Prover 5: Preprocessing ... % 5.46/1.48 Prover 0: Preprocessing ... % 9.97/2.11 Prover 5: Proving ... % 9.97/2.11 Prover 2: Proving ... % 11.08/2.24 Prover 1: Warning: ignoring some quantifiers % 11.63/2.27 Prover 6: Proving ... % 11.95/2.31 Prover 3: Warning: ignoring some quantifiers % 11.95/2.36 Prover 3: Constructing countermodel ... % 11.95/2.36 Prover 1: Constructing countermodel ... % 12.45/2.46 Prover 0: Proving ... % 12.45/2.47 Prover 4: Warning: ignoring some quantifiers % 13.67/2.55 Prover 4: Constructing countermodel ... % 73.22/10.36 Prover 2: stopped % 73.65/10.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.70/10.53 Prover 7: Preprocessing ... % 74.86/10.64 Prover 7: Warning: ignoring some quantifiers % 74.86/10.65 Prover 7: Constructing countermodel ... % 100.58/13.97 Prover 5: stopped % 100.75/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 101.58/14.16 Prover 8: Preprocessing ... % 103.71/14.42 Prover 8: Warning: ignoring some quantifiers % 103.71/14.43 Prover 8: Constructing countermodel ... % 115.60/15.97 Prover 1: stopped % 115.60/15.98 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.72/16.11 Prover 9: Preprocessing ... % 118.74/16.36 Prover 9: Warning: ignoring some quantifiers % 118.74/16.41 Prover 9: Constructing countermodel ... % 129.45/17.88 Prover 6: stopped % 129.81/17.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 130.82/18.03 Prover 10: Preprocessing ... % 131.10/18.07 Prover 10: Warning: ignoring some quantifiers % 131.10/18.09 Prover 10: Constructing countermodel ... % 202.59/27.96 Prover 4: stopped % 202.59/27.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 203.22/28.06 Prover 11: Preprocessing ... % 205.52/28.33 Prover 11: Warning: ignoring some quantifiers % 205.52/28.34 Prover 11: Constructing countermodel ... % 227.21/31.28 Prover 7: stopped % 227.21/31.29 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 227.56/31.33 Prover 12: Preprocessing ... % 229.28/31.54 Prover 12: Proving ... % 233.01/32.03 Prover 10: Found proof (size 17) % 233.01/32.03 Prover 10: proved (14134ms) % 233.01/32.03 Prover 12: stopped % 233.01/32.03 Prover 3: stopped % 233.01/32.03 Prover 11: stopped % 233.01/32.04 Prover 8: stopped % 233.01/32.04 Prover 9: stopped % 233.41/32.16 Prover 0: stopped % 233.41/32.16 % 233.41/32.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 233.41/32.16 % 233.41/32.16 % SZS output start Proof for theBenchmark % 233.41/32.17 Assumptions after simplification: % 233.41/32.17 --------------------------------- % 233.41/32.17 % 233.41/32.17 (exemplo6GDDFULL416041) % 233.41/32.18 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 233.41/32.18 $i] : ? [v6: $i] : ($i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 233.41/32.18 $i(v0) & eqangle(v3, v2, v2, v0, v3, v2, v2, v1) & eqangle(v3, v1, v1, v2, % 233.41/32.18 v3, v1, v1, v0) & eqangle(v3, v0, v0, v1, v3, v0, v0, v2) & perp(v6, v1, % 233.41/32.18 v0, v3) & perp(v5, v3, v1, v2) & perp(v4, v3, v0, v2) & coll(v6, v0, v3) & % 233.41/32.18 coll(v5, v1, v2) & coll(v4, v0, v2) & ~ coll(v6, v4, v5)) % 233.41/32.18 % 233.41/32.18 (ruleD1) % 233.41/32.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 233.41/32.18 ~ coll(v0, v1, v2) | coll(v0, v2, v1)) % 233.41/32.18 % 233.41/32.18 (ruleD3) % 233.41/32.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 233.41/32.18 | ~ $i(v1) | ~ $i(v0) | ~ coll(v0, v1, v3) | ~ coll(v0, v1, v2) | % 233.41/32.18 coll(v2, v3, v0)) % 233.41/32.18 % 233.41/32.18 Further assumptions not needed in the proof: % 233.41/32.18 -------------------------------------------- % 233.41/32.18 ruleD10, ruleD11, ruleD12, ruleD13, ruleD14, ruleD15, ruleD16, ruleD17, ruleD18, % 233.41/32.18 ruleD19, ruleD2, ruleD20, ruleD21, ruleD22, ruleD23, ruleD24, ruleD25, ruleD26, % 233.41/32.18 ruleD27, ruleD28, ruleD29, ruleD30, ruleD31, ruleD32, ruleD33, ruleD34, ruleD35, % 233.41/32.18 ruleD36, ruleD37, ruleD38, ruleD39, ruleD4, ruleD40, ruleD41, ruleD42a, % 233.41/32.18 ruleD42b, ruleD43, ruleD44, ruleD45, ruleD46, ruleD47, ruleD48, ruleD49, ruleD5, % 233.41/32.18 ruleD50, ruleD51, ruleD52, ruleD53, ruleD54, ruleD55, ruleD56, ruleD57, ruleD58, % 233.41/32.18 ruleD59, ruleD6, ruleD60, ruleD61, ruleD62, ruleD63, ruleD64, ruleD65, ruleD66, % 233.41/32.18 ruleD67, ruleD68, ruleD69, ruleD7, ruleD70, ruleD71, ruleD72, ruleD73, ruleD74, % 233.41/32.18 ruleD75, ruleD8, ruleD9, ruleX1, ruleX10, ruleX11, ruleX12, ruleX13, ruleX14, % 233.41/32.18 ruleX15, ruleX16, ruleX17, ruleX18, ruleX2, ruleX3, ruleX4, ruleX5, ruleX6, % 233.41/32.18 ruleX7, ruleX8, ruleX9 % 233.41/32.18 % 233.41/32.18 Those formulas are unsatisfiable: % 233.41/32.18 --------------------------------- % 233.41/32.18 % 233.41/32.18 Begin of proof % 233.41/32.18 | % 233.41/32.18 | DELTA: instantiating (exemplo6GDDFULL416041) with fresh symbols all_97_0, % 233.41/32.18 | all_97_1, all_97_2, all_97_3, all_97_4, all_97_5, all_97_6 gives: % 233.41/32.18 | (1) $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3) & % 233.41/32.18 | $i(all_97_4) & $i(all_97_5) & $i(all_97_6) & eqangle(all_97_3, % 233.41/32.18 | all_97_4, all_97_4, all_97_6, all_97_3, all_97_4, all_97_4, all_97_5) % 233.41/32.18 | & eqangle(all_97_3, all_97_5, all_97_5, all_97_4, all_97_3, all_97_5, % 233.41/32.18 | all_97_5, all_97_6) & eqangle(all_97_3, all_97_6, all_97_6, all_97_5, % 233.41/32.18 | all_97_3, all_97_6, all_97_6, all_97_4) & perp(all_97_0, all_97_5, % 233.41/32.18 | all_97_6, all_97_3) & perp(all_97_1, all_97_3, all_97_5, all_97_4) & % 233.41/32.18 | perp(all_97_2, all_97_3, all_97_6, all_97_4) & coll(all_97_0, all_97_6, % 233.41/32.18 | all_97_3) & coll(all_97_1, all_97_5, all_97_4) & coll(all_97_2, % 233.41/32.18 | all_97_6, all_97_4) & ~ coll(all_97_0, all_97_2, all_97_1) % 233.62/32.18 | % 233.62/32.19 | ALPHA: (1) implies: % 233.62/32.19 | (2) ~ coll(all_97_0, all_97_2, all_97_1) % 233.62/32.19 | (3) coll(all_97_2, all_97_6, all_97_4) % 233.62/32.19 | (4) coll(all_97_1, all_97_5, all_97_4) % 233.62/32.19 | (5) coll(all_97_0, all_97_6, all_97_3) % 233.62/32.19 | (6) $i(all_97_6) % 233.62/32.19 | (7) $i(all_97_5) % 233.62/32.19 | (8) $i(all_97_4) % 233.62/32.19 | (9) $i(all_97_3) % 233.62/32.19 | (10) $i(all_97_2) % 233.62/32.19 | (11) $i(all_97_1) % 233.62/32.19 | (12) $i(all_97_0) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_6, all_97_4, % 233.62/32.19 | all_97_4, simplifying with (3), (6), (8), (10) gives: % 233.62/32.19 | (13) coll(all_97_4, all_97_4, all_97_2) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_6, all_97_4, % 233.62/32.19 | simplifying with (3), (6), (8), (10) gives: % 233.62/32.19 | (14) coll(all_97_2, all_97_4, all_97_6) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_5, all_97_4, % 233.62/32.19 | all_97_4, simplifying with (4), (7), (8), (11) gives: % 233.62/32.19 | (15) coll(all_97_4, all_97_4, all_97_1) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_6, all_97_3, % 233.62/32.19 | simplifying with (5), (6), (9), (12) gives: % 233.62/32.19 | (16) coll(all_97_0, all_97_3, all_97_6) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_4, all_97_4, all_97_1, % 233.62/32.19 | all_97_2, simplifying with (8), (10), (11), (13), (15) gives: % 233.62/32.19 | (17) coll(all_97_1, all_97_2, all_97_4) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_4, all_97_6, % 233.62/32.19 | all_97_6, simplifying with (6), (8), (10), (14) gives: % 233.62/32.19 | (18) coll(all_97_6, all_97_6, all_97_2) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_3, all_97_6, % 233.62/32.19 | all_97_6, simplifying with (6), (9), (12), (16) gives: % 233.62/32.19 | (19) coll(all_97_6, all_97_6, all_97_0) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_6, all_97_6, all_97_0, % 233.62/32.19 | all_97_2, simplifying with (6), (10), (12), (18), (19) gives: % 233.62/32.19 | (20) coll(all_97_0, all_97_2, all_97_6) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD1) with all_97_1, all_97_2, all_97_4, % 233.62/32.19 | simplifying with (8), (10), (11), (17) gives: % 233.62/32.19 | (21) coll(all_97_1, all_97_4, all_97_2) % 233.62/32.19 | % 233.62/32.19 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_4, all_97_2, % 233.62/32.19 | all_97_2, simplifying with (8), (10), (11), (21) gives: % 233.62/32.19 | (22) coll(all_97_2, all_97_2, all_97_1) % 233.62/32.19 | % 233.62/32.20 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_2, all_97_6, % 233.62/32.20 | simplifying with (6), (10), (12), (20) gives: % 233.62/32.20 | (23) coll(all_97_0, all_97_6, all_97_2) % 233.62/32.20 | % 233.62/32.20 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_6, all_97_2, % 233.62/32.20 | all_97_2, simplifying with (6), (10), (12), (23) gives: % 233.62/32.20 | (24) coll(all_97_2, all_97_2, all_97_0) % 233.62/32.20 | % 233.62/32.20 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_2, all_97_0, % 233.62/32.20 | all_97_1, simplifying with (10), (11), (12), (22), (24) gives: % 233.62/32.20 | (25) coll(all_97_0, all_97_1, all_97_2) % 233.62/32.20 | % 233.62/32.20 | GROUND_INST: instantiating (ruleD1) with all_97_0, all_97_1, all_97_2, % 233.62/32.20 | simplifying with (2), (10), (11), (12), (25) gives: % 233.62/32.20 | (26) $false % 233.62/32.20 | % 233.62/32.20 | CLOSE: (26) is inconsistent. % 233.62/32.20 | % 233.62/32.20 End of proof % 233.62/32.20 % SZS output end Proof for theBenchmark % 233.62/32.20 % 233.62/32.20 31595ms %------------------------------------------------------------------------------