%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0. % 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 23:22:44 EDT 2023 % Result : Theorem 8.89s 1.94s % Output : Proof 11.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO247+1 : TPTP v8.1.2. Bugfixed v6.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n015.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 22:39:42 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. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.99/1.15 Prover 1: Preprocessing ... % 3.53/1.17 Prover 4: Preprocessing ... % 3.62/1.21 Prover 5: Preprocessing ... % 3.62/1.21 Prover 6: Preprocessing ... % 3.62/1.21 Prover 2: Preprocessing ... % 3.62/1.21 Prover 3: Preprocessing ... % 3.62/1.21 Prover 0: Preprocessing ... % 7.36/1.72 Prover 5: Proving ... % 7.36/1.75 Prover 3: Constructing countermodel ... % 7.36/1.75 Prover 1: Constructing countermodel ... % 7.36/1.75 Prover 6: Constructing countermodel ... % 7.84/1.79 Prover 2: Proving ... % 8.89/1.93 Prover 5: proved (1289ms) % 8.89/1.93 % 8.89/1.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.89/1.94 % 8.89/1.94 Prover 6: stopped % 8.89/1.94 Prover 3: stopped % 8.89/1.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.89/1.95 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.89/1.95 Prover 2: stopped % 8.89/1.97 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.89/1.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.89/2.06 Prover 10: Preprocessing ... % 8.89/2.07 Prover 8: Preprocessing ... % 8.89/2.09 Prover 1: Found proof (size 5) % 8.89/2.09 Prover 1: proved (1448ms) % 8.89/2.09 Prover 7: Preprocessing ... % 8.89/2.11 Prover 11: Preprocessing ... % 9.90/2.11 Prover 10: stopped % 9.90/2.13 Prover 4: Constructing countermodel ... % 9.90/2.13 Prover 7: stopped % 9.90/2.15 Prover 4: stopped % 9.90/2.18 Prover 0: Proving ... % 10.69/2.19 Prover 0: stopped % 10.69/2.21 Prover 8: Warning: ignoring some quantifiers % 10.69/2.22 Prover 8: Constructing countermodel ... % 10.69/2.23 Prover 11: stopped % 10.69/2.23 Prover 8: stopped % 10.69/2.23 % 10.69/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.69/2.23 % 10.69/2.23 % SZS output start Proof for theBenchmark % 10.69/2.24 Assumptions after simplification: % 10.69/2.24 --------------------------------- % 10.69/2.24 % 10.69/2.24 (con) % 10.69/2.26 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 10.69/2.26 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & % 10.69/2.26 convergent_lines(v4, v5) = v8 & reverse_line(v5) = v7 & reverse_line(v4) = % 10.69/2.26 v6 & left_apart_point(v3, v6) = 0 & left_apart_point(v3, v5) = 0 & % 10.69/2.26 left_apart_point(v2, v7) = 0 & left_apart_point(v2, v4) = 0 & % 10.69/2.26 left_apart_point(v1, v7) = 0 & left_apart_point(v1, v6) = 0 & % 10.69/2.26 left_apart_point(v0, v5) = 0 & left_apart_point(v0, v4) = 0 & $i(v7) & % 10.69/2.26 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 10.69/2.26 % 10.69/2.26 (oag10) % 10.69/2.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~ % 10.69/2.27 (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! % 10.69/2.27 [v1: $i] : ( ~ (left_apart_point(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) % 10.69/2.27 % 10.69/2.27 Further assumptions not needed in the proof: % 10.69/2.27 -------------------------------------------- % 10.69/2.27 apt_def, bet_def, bf_def, con_def, div_def, oag1, oag11, oag2, oag3, oag4, oag5, % 10.69/2.27 oag6, oag7, oag8, oag9, oagco1, oagco10, oagco2, oagco3, oagco4, oagco5, oagco6, % 10.69/2.27 oagco7, oagco8, oagco9, oagsub1, oagsub2, oagsub3, oaguc1, oaguc2 % 10.69/2.27 % 10.69/2.27 Those formulas are unsatisfiable: % 10.69/2.27 --------------------------------- % 10.69/2.27 % 10.69/2.27 Begin of proof % 10.69/2.27 | % 10.69/2.27 | ALPHA: (oag10) implies: % 10.69/2.27 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | % 10.69/2.27 | ~ (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) % 10.69/2.27 | % 10.69/2.27 | DELTA: instantiating (con) with fresh symbols all_34_0, all_34_1, all_34_2, % 10.69/2.27 | all_34_3, all_34_4, all_34_5, all_34_6, all_34_7, all_34_8 gives: % 11.20/2.27 | (2) ~ (all_34_0 = 0) & convergent_lines(all_34_4, all_34_3) = all_34_0 & % 11.20/2.27 | reverse_line(all_34_3) = all_34_1 & reverse_line(all_34_4) = all_34_2 & % 11.20/2.27 | left_apart_point(all_34_5, all_34_2) = 0 & left_apart_point(all_34_5, % 11.20/2.27 | all_34_3) = 0 & left_apart_point(all_34_6, all_34_1) = 0 & % 11.20/2.27 | left_apart_point(all_34_6, all_34_4) = 0 & left_apart_point(all_34_7, % 11.20/2.27 | all_34_1) = 0 & left_apart_point(all_34_7, all_34_2) = 0 & % 11.20/2.27 | left_apart_point(all_34_8, all_34_3) = 0 & left_apart_point(all_34_8, % 11.20/2.27 | all_34_4) = 0 & $i(all_34_1) & $i(all_34_2) & $i(all_34_3) & % 11.20/2.27 | $i(all_34_4) & $i(all_34_5) & $i(all_34_6) & $i(all_34_7) & % 11.20/2.27 | $i(all_34_8) % 11.20/2.27 | % 11.20/2.27 | ALPHA: (2) implies: % 11.20/2.27 | (3) $i(all_34_7) % 11.20/2.27 | (4) $i(all_34_3) % 11.20/2.28 | (5) left_apart_point(all_34_7, all_34_1) = 0 % 11.20/2.28 | (6) reverse_line(all_34_3) = all_34_1 % 11.20/2.28 | % 11.20/2.28 | GROUND_INST: instantiating (1) with all_34_7, all_34_3, all_34_1, simplifying % 11.20/2.28 | with (3), (4), (5), (6) gives: % 11.20/2.28 | (7) $false % 11.20/2.28 | % 11.20/2.28 | CLOSE: (7) is inconsistent. % 11.20/2.28 | % 11.20/2.28 End of proof % 11.20/2.28 % SZS output end Proof for theBenchmark % 11.20/2.28 % 11.20/2.28 1658ms %------------------------------------------------------------------------------