%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO566+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 : n015.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 23:23:43 EDT 2023 % Result : Theorem 169.49s 23.25s % Output : Proof 169.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO566+1 : TPTP v8.1.2. Released v7.5.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n015.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 21:32:41 EDT 2023 % 0.14/0.34 % 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/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.00/1.45 Prover 1: Preprocessing ... % 4.00/1.45 Prover 4: Preprocessing ... % 4.00/1.50 Prover 2: Preprocessing ... % 4.00/1.50 Prover 3: Preprocessing ... % 4.00/1.50 Prover 0: Preprocessing ... % 4.00/1.50 Prover 5: Preprocessing ... % 4.00/1.50 Prover 6: Preprocessing ... % 9.33/2.04 Prover 5: Proving ... % 9.33/2.04 Prover 2: Proving ... % 10.33/2.25 Prover 3: Warning: ignoring some quantifiers % 10.33/2.27 Prover 1: Warning: ignoring some quantifiers % 10.33/2.30 Prover 3: Constructing countermodel ... % 10.33/2.34 Prover 6: Proving ... % 11.62/2.36 Prover 1: Constructing countermodel ... % 13.58/2.64 Prover 0: Proving ... % 13.58/2.66 Prover 4: Warning: ignoring some quantifiers % 14.10/2.70 Prover 4: Constructing countermodel ... % 72.56/10.39 Prover 2: stopped % 72.56/10.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.08/10.59 Prover 7: Preprocessing ... % 74.88/10.68 Prover 7: Warning: ignoring some quantifiers % 74.88/10.70 Prover 7: Constructing countermodel ... % 99.41/13.96 Prover 5: stopped % 100.18/13.97 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 101.76/14.21 Prover 8: Preprocessing ... % 102.78/14.47 Prover 8: Warning: ignoring some quantifiers % 102.78/14.48 Prover 8: Constructing countermodel ... % 115.18/15.97 Prover 1: stopped % 115.18/15.97 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.25/16.12 Prover 9: Preprocessing ... % 117.51/16.42 Prover 9: Warning: ignoring some quantifiers % 117.51/16.43 Prover 9: Constructing countermodel ... % 129.71/17.93 Prover 6: stopped % 129.71/17.93 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 130.55/18.00 Prover 10: Preprocessing ... % 130.55/18.04 Prover 10: Warning: ignoring some quantifiers % 131.00/18.06 Prover 10: Constructing countermodel ... % 169.08/23.23 Prover 10: Found proof (size 25) % 169.43/23.23 Prover 10: proved (5297ms) % 169.43/23.23 Prover 0: stopped % 169.43/23.23 Prover 7: stopped % 169.43/23.23 Prover 8: stopped % 169.43/23.24 Prover 3: stopped % 169.43/23.24 Prover 4: stopped % 169.49/23.25 Prover 9: stopped % 169.49/23.25 % 169.49/23.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 169.49/23.25 % 169.49/23.26 % SZS output start Proof for theBenchmark % 169.49/23.26 Assumptions after simplification: % 169.49/23.26 --------------------------------- % 169.49/23.26 % 169.49/23.26 (exemplo6GDDFULL214028) % 169.49/23.27 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 169.49/23.27 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) & % 169.49/23.27 $i(v3) & $i(v2) & $i(v1) & $i(v0) & perp(v7, v3, v0, v2) & perp(v6, v3, v0, % 169.49/23.27 v4) & perp(v5, v3, v1, v2) & perp(v3, v2, v0, v1) & perp(v1, v2, v0, v4) & % 169.49/23.27 perp(v0, v2, v1, v4) & coll(v7, v0, v2) & coll(v6, v0, v4) & coll(v5, v1, % 169.49/23.27 v2) & coll(v3, v0, v1) & ~ coll(v7, v6, v5)) % 169.49/23.27 % 169.49/23.27 (ruleD1) % 169.49/23.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 169.49/23.27 ~ coll(v0, v1, v2) | coll(v0, v2, v1)) % 169.49/23.27 % 169.49/23.27 (ruleD3) % 169.49/23.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 169.49/23.27 | ~ $i(v1) | ~ $i(v0) | ~ coll(v0, v1, v3) | ~ coll(v0, v1, v2) | % 169.49/23.27 coll(v2, v3, v0)) % 169.49/23.27 % 169.49/23.27 (ruleD66) % 169.49/23.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 169.49/23.27 ~ para(v0, v1, v0, v2) | coll(v0, v1, v2)) % 169.49/23.27 % 169.49/23.27 (ruleD8) % 169.49/23.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 169.49/23.27 | ~ $i(v1) | ~ $i(v0) | ~ perp(v0, v1, v2, v3) | perp(v2, v3, v0, v1)) % 169.49/23.27 % 169.49/23.27 (ruleD9) % 169.49/23.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 169.49/23.28 $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 169.49/23.28 | ~ perp(v2, v3, v4, v5) | ~ perp(v0, v1, v2, v3) | para(v0, v1, v4, v5)) % 169.49/23.28 % 169.49/23.28 Further assumptions not needed in the proof: % 169.49/23.28 -------------------------------------------- % 169.49/23.28 ruleD10, ruleD11, ruleD12, ruleD13, ruleD14, ruleD15, ruleD16, ruleD17, ruleD18, % 169.49/23.28 ruleD19, ruleD2, ruleD20, ruleD21, ruleD22, ruleD23, ruleD24, ruleD25, ruleD26, % 169.49/23.28 ruleD27, ruleD28, ruleD29, ruleD30, ruleD31, ruleD32, ruleD33, ruleD34, ruleD35, % 169.49/23.28 ruleD36, ruleD37, ruleD38, ruleD39, ruleD4, ruleD40, ruleD41, ruleD42a, % 169.49/23.28 ruleD42b, ruleD43, ruleD44, ruleD45, ruleD46, ruleD47, ruleD48, ruleD49, ruleD5, % 169.49/23.28 ruleD50, ruleD51, ruleD52, ruleD53, ruleD54, ruleD55, ruleD56, ruleD57, ruleD58, % 169.49/23.28 ruleD59, ruleD6, ruleD60, ruleD61, ruleD62, ruleD63, ruleD64, ruleD65, ruleD67, % 169.49/23.28 ruleD68, ruleD69, ruleD7, ruleD70, ruleD71, ruleD72, ruleD73, ruleD74, ruleD75, % 169.49/23.28 ruleX1, ruleX10, ruleX11, ruleX12, ruleX13, ruleX14, ruleX15, ruleX16, ruleX17, % 169.49/23.28 ruleX18, ruleX2, ruleX3, ruleX4, ruleX5, ruleX6, ruleX7, ruleX8, ruleX9 % 169.49/23.28 % 169.49/23.28 Those formulas are unsatisfiable: % 169.49/23.28 --------------------------------- % 169.49/23.28 % 169.49/23.28 Begin of proof % 169.49/23.28 | % 169.49/23.28 | DELTA: instantiating (exemplo6GDDFULL214028) with fresh symbols all_97_0, % 169.49/23.28 | all_97_1, all_97_2, all_97_3, all_97_4, all_97_5, all_97_6, all_97_7 % 169.49/23.28 | gives: % 169.49/23.28 | (1) $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3) & % 169.49/23.28 | $i(all_97_4) & $i(all_97_5) & $i(all_97_6) & $i(all_97_7) & % 169.49/23.28 | perp(all_97_0, all_97_4, all_97_7, all_97_5) & perp(all_97_1, all_97_4, % 169.49/23.28 | all_97_7, all_97_3) & perp(all_97_2, all_97_4, all_97_6, all_97_5) & % 169.49/23.28 | perp(all_97_4, all_97_5, all_97_7, all_97_6) & perp(all_97_6, all_97_5, % 169.49/23.28 | all_97_7, all_97_3) & perp(all_97_7, all_97_5, all_97_6, all_97_3) & % 169.49/23.28 | coll(all_97_0, all_97_7, all_97_5) & coll(all_97_1, all_97_7, all_97_3) % 169.49/23.28 | & coll(all_97_2, all_97_6, all_97_5) & coll(all_97_4, all_97_7, % 169.49/23.28 | all_97_6) & ~ coll(all_97_0, all_97_1, all_97_2) % 169.49/23.28 | % 169.49/23.28 | ALPHA: (1) implies: % 169.49/23.28 | (2) ~ coll(all_97_0, all_97_1, all_97_2) % 169.49/23.28 | (3) coll(all_97_2, all_97_6, all_97_5) % 169.49/23.28 | (4) coll(all_97_0, all_97_7, all_97_5) % 169.49/23.28 | (5) perp(all_97_2, all_97_4, all_97_6, all_97_5) % 169.49/23.28 | (6) perp(all_97_1, all_97_4, all_97_7, all_97_3) % 169.49/23.28 | (7) perp(all_97_0, all_97_4, all_97_7, all_97_5) % 169.49/23.28 | (8) $i(all_97_7) % 169.49/23.28 | (9) $i(all_97_6) % 169.49/23.28 | (10) $i(all_97_5) % 169.49/23.28 | (11) $i(all_97_4) % 169.49/23.28 | (12) $i(all_97_3) % 169.49/23.28 | (13) $i(all_97_2) % 169.49/23.28 | (14) $i(all_97_1) % 169.49/23.28 | (15) $i(all_97_0) % 169.49/23.28 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_6, all_97_5, % 169.49/23.29 | all_97_5, simplifying with (3), (9), (10), (13) gives: % 169.49/23.29 | (16) coll(all_97_5, all_97_5, all_97_2) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_7, all_97_5, % 169.49/23.29 | all_97_5, simplifying with (4), (8), (10), (15) gives: % 169.49/23.29 | (17) coll(all_97_5, all_97_5, all_97_0) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD8) with all_97_2, all_97_4, all_97_6, % 169.49/23.29 | all_97_5, simplifying with (5), (9), (10), (11), (13) gives: % 169.49/23.29 | (18) perp(all_97_6, all_97_5, all_97_2, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD8) with all_97_1, all_97_4, all_97_7, % 169.49/23.29 | all_97_3, simplifying with (6), (8), (11), (12), (14) gives: % 169.49/23.29 | (19) perp(all_97_7, all_97_3, all_97_1, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD8) with all_97_0, all_97_4, all_97_7, % 169.49/23.29 | all_97_5, simplifying with (7), (8), (10), (11), (15) gives: % 169.49/23.29 | (20) perp(all_97_7, all_97_5, all_97_0, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD3) with all_97_5, all_97_5, all_97_2, % 169.49/23.29 | all_97_0, simplifying with (10), (13), (15), (16), (17) gives: % 169.49/23.29 | (21) coll(all_97_2, all_97_0, all_97_5) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD9) with all_97_0, all_97_4, all_97_7, % 169.49/23.29 | all_97_5, all_97_0, all_97_4, simplifying with (7), (8), (10), % 169.49/23.29 | (11), (15), (20) gives: % 169.49/23.29 | (22) para(all_97_0, all_97_4, all_97_0, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD9) with all_97_1, all_97_4, all_97_7, % 169.49/23.29 | all_97_3, all_97_1, all_97_4, simplifying with (6), (8), (11), % 169.49/23.29 | (12), (14), (19) gives: % 169.49/23.29 | (23) para(all_97_1, all_97_4, all_97_1, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD9) with all_97_2, all_97_4, all_97_6, % 169.49/23.29 | all_97_5, all_97_2, all_97_4, simplifying with (5), (9), (10), % 169.49/23.29 | (11), (13), (18) gives: % 169.49/23.29 | (24) para(all_97_2, all_97_4, all_97_2, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_0, all_97_5, % 169.49/23.29 | simplifying with (10), (13), (15), (21) gives: % 169.49/23.29 | (25) coll(all_97_2, all_97_5, all_97_0) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD66) with all_97_2, all_97_4, all_97_4, % 169.49/23.29 | simplifying with (11), (13), (24) gives: % 169.49/23.29 | (26) coll(all_97_2, all_97_4, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD66) with all_97_1, all_97_4, all_97_4, % 169.49/23.29 | simplifying with (11), (14), (23) gives: % 169.49/23.29 | (27) coll(all_97_1, all_97_4, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD66) with all_97_0, all_97_4, all_97_4, % 169.49/23.29 | simplifying with (11), (15), (22) gives: % 169.49/23.29 | (28) coll(all_97_0, all_97_4, all_97_4) % 169.49/23.29 | % 169.49/23.29 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_5, all_97_0, % 169.49/23.30 | all_97_0, simplifying with (10), (13), (15), (25) gives: % 169.49/23.30 | (29) coll(all_97_0, all_97_0, all_97_2) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_4, all_97_4, % 169.49/23.30 | all_97_4, simplifying with (11), (13), (26) gives: % 169.49/23.30 | (30) coll(all_97_4, all_97_4, all_97_2) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_4, all_97_4, % 169.49/23.30 | all_97_4, simplifying with (11), (14), (27) gives: % 169.49/23.30 | (31) coll(all_97_4, all_97_4, all_97_1) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_4, all_97_4, % 169.49/23.30 | all_97_4, simplifying with (11), (15), (28) gives: % 169.49/23.30 | (32) coll(all_97_4, all_97_4, all_97_0) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_4, all_97_4, all_97_2, % 169.49/23.30 | all_97_1, simplifying with (11), (13), (14), (30), (31) gives: % 169.49/23.30 | (33) coll(all_97_2, all_97_1, all_97_4) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_4, all_97_4, all_97_0, % 169.49/23.30 | all_97_0, simplifying with (11), (15), (32) gives: % 169.49/23.30 | (34) coll(all_97_0, all_97_0, all_97_4) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD1) with all_97_2, all_97_1, all_97_4, % 169.49/23.30 | simplifying with (11), (13), (14), (33) gives: % 169.49/23.30 | (35) coll(all_97_2, all_97_4, all_97_1) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_0, all_97_2, % 169.49/23.30 | all_97_4, simplifying with (11), (13), (15), (29), (34) gives: % 169.49/23.30 | (36) coll(all_97_2, all_97_4, all_97_0) % 169.49/23.30 | % 169.49/23.30 | GROUND_INST: instantiating (ruleD3) with all_97_2, all_97_4, all_97_0, % 169.49/23.30 | all_97_1, simplifying with (2), (11), (13), (14), (15), (35), % 169.49/23.30 | (36) gives: % 169.49/23.30 | (37) $false % 169.49/23.30 | % 169.49/23.30 | CLOSE: (37) is inconsistent. % 169.49/23.30 | % 169.49/23.30 End of proof % 169.49/23.30 % SZS output end Proof for theBenchmark % 169.49/23.30 % 169.49/23.30 22698ms %------------------------------------------------------------------------------