%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO620+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 : n002.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 23:23:52 EDT 2023 % Result : Theorem 208.87s 28.92s % Output : Proof 209.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n002.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Tue Aug 29 19:15:20 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.93/1.38 Prover 4: Preprocessing ... % 4.93/1.38 Prover 1: Preprocessing ... % 5.29/1.42 Prover 2: Preprocessing ... % 5.29/1.42 Prover 6: Preprocessing ... % 5.29/1.42 Prover 3: Preprocessing ... % 5.29/1.42 Prover 0: Preprocessing ... % 5.29/1.42 Prover 5: Preprocessing ... % 8.77/1.93 Prover 5: Proving ... % 8.77/1.94 Prover 2: Proving ... % 10.69/2.15 Prover 6: Proving ... % 10.69/2.16 Prover 3: Warning: ignoring some quantifiers % 10.69/2.16 Prover 1: Warning: ignoring some quantifiers % 11.16/2.21 Prover 3: Constructing countermodel ... % 11.16/2.22 Prover 1: Constructing countermodel ... % 12.23/2.38 Prover 4: Warning: ignoring some quantifiers % 12.48/2.39 Prover 0: Proving ... % 12.91/2.44 Prover 4: Constructing countermodel ... % 73.83/10.33 Prover 2: stopped % 73.83/10.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 75.03/10.49 Prover 7: Preprocessing ... % 75.46/10.60 Prover 7: Warning: ignoring some quantifiers % 76.19/10.64 Prover 7: Constructing countermodel ... % 101.85/13.98 Prover 5: stopped % 101.85/14.00 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 102.77/14.13 Prover 8: Preprocessing ... % 104.69/14.32 Prover 8: Warning: ignoring some quantifiers % 104.69/14.35 Prover 8: Constructing countermodel ... % 117.64/15.99 Prover 1: stopped % 117.64/16.01 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 118.57/16.12 Prover 9: Preprocessing ... % 120.91/16.45 Prover 9: Warning: ignoring some quantifiers % 120.91/16.46 Prover 9: Constructing countermodel ... % 131.33/17.90 Prover 6: stopped % 131.33/17.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 132.28/18.03 Prover 10: Preprocessing ... % 133.25/18.12 Prover 10: Warning: ignoring some quantifiers % 133.25/18.15 Prover 10: Constructing countermodel ... % 208.45/28.88 Prover 10: Found proof (size 20) % 208.45/28.88 Prover 10: proved (10979ms) % 208.45/28.88 Prover 0: stopped % 208.45/28.88 Prover 7: stopped % 208.45/28.88 Prover 8: stopped % 208.45/28.89 Prover 4: stopped % 208.87/28.91 Prover 9: stopped % 208.87/28.92 Prover 3: stopped % 208.87/28.92 % 208.87/28.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 208.87/28.92 % 208.87/28.92 % SZS output start Proof for theBenchmark % 208.87/28.93 Assumptions after simplification: % 208.87/28.93 --------------------------------- % 208.87/28.93 % 208.87/28.93 (exemplo6GDDFULL8110982) % 208.87/28.94 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 208.87/28.94 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) & % 208.87/28.94 $i(v3) & $i(v2) & $i(v1) & $i(v0) & eqangle(v3, v2, v2, v0, v3, v2, v2, v1) % 208.87/28.94 & eqangle(v3, v1, v1, v2, v3, v1, v1, v0) & eqangle(v3, v0, v0, v1, v3, v0, % 208.87/28.94 v0, v2) & perp(v7, v2, v1, v3) & perp(v6, v2, v0, v5) & perp(v4, v2, v0, % 208.87/28.94 v3) & perp(v0, v3, v0, v5) & coll(v7, v1, v3) & coll(v6, v0, v5) & % 208.87/28.94 coll(v4, v0, v3) & ~ coll(v4, v7, v6)) % 208.87/28.94 % 208.87/28.94 (ruleD1) % 208.87/28.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 208.87/28.94 ~ coll(v0, v1, v2) | coll(v0, v2, v1)) % 208.87/28.94 % 208.87/28.94 (ruleD3) % 208.87/28.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 208.87/28.94 | ~ $i(v1) | ~ $i(v0) | ~ coll(v0, v1, v3) | ~ coll(v0, v1, v2) | % 208.87/28.94 coll(v2, v3, v0)) % 208.87/28.94 % 208.87/28.94 (ruleD66) % 208.87/28.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 208.87/28.94 ~ para(v0, v1, v0, v2) | coll(v0, v1, v2)) % 208.87/28.94 % 208.87/28.94 (ruleD8) % 208.87/28.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 208.87/28.94 | ~ $i(v1) | ~ $i(v0) | ~ perp(v0, v1, v2, v3) | perp(v2, v3, v0, v1)) % 208.87/28.94 % 208.87/28.94 (ruleD9) % 208.87/28.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 208.87/28.95 $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 208.87/28.95 | ~ perp(v2, v3, v4, v5) | ~ perp(v0, v1, v2, v3) | para(v0, v1, v4, v5)) % 208.87/28.95 % 208.87/28.95 Further assumptions not needed in the proof: % 208.87/28.95 -------------------------------------------- % 208.87/28.95 ruleD10, ruleD11, ruleD12, ruleD13, ruleD14, ruleD15, ruleD16, ruleD17, ruleD18, % 208.87/28.95 ruleD19, ruleD2, ruleD20, ruleD21, ruleD22, ruleD23, ruleD24, ruleD25, ruleD26, % 208.87/28.95 ruleD27, ruleD28, ruleD29, ruleD30, ruleD31, ruleD32, ruleD33, ruleD34, ruleD35, % 208.87/28.95 ruleD36, ruleD37, ruleD38, ruleD39, ruleD4, ruleD40, ruleD41, ruleD42a, % 208.87/28.95 ruleD42b, ruleD43, ruleD44, ruleD45, ruleD46, ruleD47, ruleD48, ruleD49, ruleD5, % 208.87/28.95 ruleD50, ruleD51, ruleD52, ruleD53, ruleD54, ruleD55, ruleD56, ruleD57, ruleD58, % 208.87/28.95 ruleD59, ruleD6, ruleD60, ruleD61, ruleD62, ruleD63, ruleD64, ruleD65, ruleD67, % 208.87/28.95 ruleD68, ruleD69, ruleD7, ruleD70, ruleD71, ruleD72, ruleD73, ruleD74, ruleD75, % 208.87/28.95 ruleX1, ruleX10, ruleX11, ruleX12, ruleX13, ruleX14, ruleX15, ruleX16, ruleX17, % 208.87/28.95 ruleX18, ruleX2, ruleX3, ruleX4, ruleX5, ruleX6, ruleX7, ruleX8, ruleX9 % 208.87/28.95 % 208.87/28.95 Those formulas are unsatisfiable: % 208.87/28.95 --------------------------------- % 208.87/28.95 % 208.87/28.95 Begin of proof % 208.87/28.95 | % 208.87/28.95 | DELTA: instantiating (exemplo6GDDFULL8110982) with fresh symbols all_97_0, % 208.87/28.95 | all_97_1, all_97_2, all_97_3, all_97_4, all_97_5, all_97_6, all_97_7 % 208.87/28.95 | gives: % 208.87/28.95 | (1) $i(all_97_0) & $i(all_97_1) & $i(all_97_2) & $i(all_97_3) & % 208.87/28.95 | $i(all_97_4) & $i(all_97_5) & $i(all_97_6) & $i(all_97_7) & % 208.87/28.95 | eqangle(all_97_4, all_97_5, all_97_5, all_97_7, all_97_4, all_97_5, % 208.87/28.95 | all_97_5, all_97_6) & eqangle(all_97_4, all_97_6, all_97_6, all_97_5, % 208.87/28.95 | all_97_4, all_97_6, all_97_6, all_97_7) & eqangle(all_97_4, all_97_7, % 208.87/28.95 | all_97_7, all_97_6, all_97_4, all_97_7, all_97_7, all_97_5) & % 208.87/28.95 | perp(all_97_0, all_97_5, all_97_6, all_97_4) & perp(all_97_1, all_97_5, % 208.87/28.95 | all_97_7, all_97_2) & perp(all_97_3, all_97_5, all_97_7, all_97_4) & % 208.87/28.95 | perp(all_97_7, all_97_4, all_97_7, all_97_2) & coll(all_97_0, all_97_6, % 208.87/28.95 | all_97_4) & coll(all_97_1, all_97_7, all_97_2) & coll(all_97_3, % 209.14/28.95 | all_97_7, all_97_4) & ~ coll(all_97_3, all_97_0, all_97_1) % 209.14/28.95 | % 209.14/28.95 | ALPHA: (1) implies: % 209.14/28.95 | (2) ~ coll(all_97_3, all_97_0, all_97_1) % 209.14/28.95 | (3) perp(all_97_3, all_97_5, all_97_7, all_97_4) % 209.14/28.95 | (4) perp(all_97_1, all_97_5, all_97_7, all_97_2) % 209.14/28.95 | (5) perp(all_97_0, all_97_5, all_97_6, all_97_4) % 209.14/28.95 | (6) $i(all_97_7) % 209.14/28.95 | (7) $i(all_97_6) % 209.14/28.95 | (8) $i(all_97_5) % 209.14/28.95 | (9) $i(all_97_4) % 209.14/28.95 | (10) $i(all_97_3) % 209.14/28.95 | (11) $i(all_97_2) % 209.14/28.95 | (12) $i(all_97_1) % 209.14/28.95 | (13) $i(all_97_0) % 209.14/28.95 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD8) with all_97_3, all_97_5, all_97_7, % 209.14/28.96 | all_97_4, simplifying with (3), (6), (8), (9), (10) gives: % 209.14/28.96 | (14) perp(all_97_7, all_97_4, all_97_3, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD8) with all_97_1, all_97_5, all_97_7, % 209.14/28.96 | all_97_2, simplifying with (4), (6), (8), (11), (12) gives: % 209.14/28.96 | (15) perp(all_97_7, all_97_2, all_97_1, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD8) with all_97_0, all_97_5, all_97_6, % 209.14/28.96 | all_97_4, simplifying with (5), (7), (8), (9), (13) gives: % 209.14/28.96 | (16) perp(all_97_6, all_97_4, all_97_0, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD9) with all_97_3, all_97_5, all_97_7, % 209.14/28.96 | all_97_4, all_97_3, all_97_5, simplifying with (3), (6), (8), % 209.14/28.96 | (9), (10), (14) gives: % 209.14/28.96 | (17) para(all_97_3, all_97_5, all_97_3, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD9) with all_97_1, all_97_5, all_97_7, % 209.14/28.96 | all_97_2, all_97_1, all_97_5, simplifying with (4), (6), (8), % 209.14/28.96 | (11), (12), (15) gives: % 209.14/28.96 | (18) para(all_97_1, all_97_5, all_97_1, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD9) with all_97_0, all_97_5, all_97_6, % 209.14/28.96 | all_97_4, all_97_0, all_97_5, simplifying with (5), (7), (8), % 209.14/28.96 | (9), (13), (16) gives: % 209.14/28.96 | (19) para(all_97_0, all_97_5, all_97_0, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD66) with all_97_3, all_97_5, all_97_5, % 209.14/28.96 | simplifying with (8), (10), (17) gives: % 209.14/28.96 | (20) coll(all_97_3, all_97_5, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD66) with all_97_1, all_97_5, all_97_5, % 209.14/28.96 | simplifying with (8), (12), (18) gives: % 209.14/28.96 | (21) coll(all_97_1, all_97_5, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD66) with all_97_0, all_97_5, all_97_5, % 209.14/28.96 | simplifying with (8), (13), (19) gives: % 209.14/28.96 | (22) coll(all_97_0, all_97_5, all_97_5) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD3) with all_97_3, all_97_5, all_97_5, % 209.14/28.96 | all_97_5, simplifying with (8), (10), (20) gives: % 209.14/28.96 | (23) coll(all_97_5, all_97_5, all_97_3) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_5, all_97_5, % 209.14/28.96 | all_97_5, simplifying with (8), (12), (21) gives: % 209.14/28.96 | (24) coll(all_97_5, all_97_5, all_97_1) % 209.14/28.96 | % 209.14/28.96 | GROUND_INST: instantiating (ruleD3) with all_97_0, all_97_5, all_97_5, % 209.14/28.96 | all_97_5, simplifying with (8), (13), (22) gives: % 209.14/28.97 | (25) coll(all_97_5, all_97_5, all_97_0) % 209.14/28.97 | % 209.14/28.97 | GROUND_INST: instantiating (ruleD3) with all_97_5, all_97_5, all_97_1, % 209.14/28.97 | all_97_3, simplifying with (8), (10), (12), (23), (24) gives: % 209.14/28.97 | (26) coll(all_97_1, all_97_3, all_97_5) % 209.14/28.97 | % 209.14/28.97 | GROUND_INST: instantiating (ruleD3) with all_97_5, all_97_5, all_97_1, % 209.14/28.97 | all_97_0, simplifying with (8), (12), (13), (24), (25) gives: % 209.14/28.97 | (27) coll(all_97_1, all_97_0, all_97_5) % 209.14/28.97 | % 209.14/28.97 | GROUND_INST: instantiating (ruleD1) with all_97_1, all_97_3, all_97_5, % 209.14/28.97 | simplifying with (8), (10), (12), (26) gives: % 209.14/28.97 | (28) coll(all_97_1, all_97_5, all_97_3) % 209.14/28.97 | % 209.14/28.97 | GROUND_INST: instantiating (ruleD1) with all_97_1, all_97_0, all_97_5, % 209.14/28.97 | simplifying with (8), (12), (13), (27) gives: % 209.14/28.97 | (29) coll(all_97_1, all_97_5, all_97_0) % 209.14/28.97 | % 209.14/28.97 | GROUND_INST: instantiating (ruleD3) with all_97_1, all_97_5, all_97_3, % 209.14/28.97 | all_97_0, simplifying with (2), (8), (10), (12), (13), (28), (29) % 209.14/28.97 | gives: % 209.14/28.97 | (30) $false % 209.14/28.97 | % 209.14/28.97 | CLOSE: (30) is inconsistent. % 209.14/28.97 | % 209.14/28.97 End of proof % 209.14/28.97 % SZS output end Proof for theBenchmark % 209.14/28.97 % 209.14/28.97 28352ms %------------------------------------------------------------------------------