%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO264+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 : n025.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 23:22:51 EDT 2023 % Result : Theorem 8.22s 2.00s % Output : Proof 10.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO264+1 : TPTP v8.1.2. Bugfixed v6.4.0. % 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n025.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 22:57:10 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.00/1.16 Prover 4: Preprocessing ... % 3.00/1.16 Prover 1: Preprocessing ... % 3.00/1.20 Prover 6: Preprocessing ... % 3.00/1.20 Prover 0: Preprocessing ... % 3.00/1.20 Prover 5: Preprocessing ... % 3.00/1.20 Prover 3: Preprocessing ... % 3.00/1.20 Prover 2: Preprocessing ... % 6.60/1.74 Prover 5: Proving ... % 6.94/1.80 Prover 3: Constructing countermodel ... % 6.94/1.81 Prover 2: Proving ... % 6.94/1.84 Prover 1: Constructing countermodel ... % 7.56/1.85 Prover 6: Constructing countermodel ... % 8.22/2.00 Prover 6: proved (1337ms) % 8.22/2.00 % 8.22/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.22/2.00 % 8.22/2.01 Prover 3: proved (1356ms) % 8.22/2.01 % 8.22/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.22/2.01 % 8.22/2.01 Prover 2: stopped % 8.22/2.07 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.22/2.07 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.22/2.07 Prover 5: proved (1369ms) % 8.22/2.07 % 8.22/2.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.22/2.07 % 8.22/2.08 Prover 1: Found proof (size 5) % 8.22/2.08 Prover 1: proved (1395ms) % 8.22/2.08 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.22/2.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.71/2.15 Prover 8: Preprocessing ... % 8.71/2.15 Prover 11: Preprocessing ... % 8.71/2.17 Prover 7: Preprocessing ... % 9.50/2.17 Prover 10: Preprocessing ... % 9.50/2.23 Prover 10: stopped % 9.50/2.23 Prover 7: stopped % 10.08/2.27 Prover 4: Constructing countermodel ... % 10.28/2.31 Prover 11: stopped % 10.28/2.31 Prover 4: stopped % 10.56/2.34 Prover 8: Warning: ignoring some quantifiers % 10.56/2.35 Prover 8: Constructing countermodel ... % 10.56/2.36 Prover 8: stopped % 10.56/2.38 Prover 0: Proving ... % 10.56/2.39 Prover 0: stopped % 10.56/2.39 % 10.56/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.56/2.39 % 10.56/2.39 % SZS output start Proof for theBenchmark % 10.56/2.40 Assumptions after simplification: % 10.56/2.40 --------------------------------- % 10.56/2.40 % 10.56/2.40 (con) % 10.91/2.44 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 10.91/2.44 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) % 10.91/2.44 & line_connecting(v2, v0) = v7 & line_connecting(v1, v2) = v5 & % 10.91/2.44 line_connecting(v0, v1) = v4 & reverse_line(v7) = v8 & reverse_line(v5) = v6 % 10.91/2.44 & left_apart_point(v3, v8) = 0 & left_apart_point(v3, v6) = 0 & % 10.91/2.44 left_apart_point(v3, v4) = v9 & left_apart_point(v2, v4) = 0 & $i(v8) & % 10.91/2.44 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 10.91/2.44 % 10.91/2.44 (oag10) % 10.91/2.44 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | ~ % 10.91/2.44 (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! % 10.91/2.44 [v1: $i] : ( ~ (left_apart_point(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) % 10.91/2.44 % 10.91/2.44 Further assumptions not needed in the proof: % 10.91/2.44 -------------------------------------------- % 10.91/2.44 apt_def, bet_def, bf_def, con_def, div_def, oag1, oag11, oag2, oag3, oag4, oag5, % 10.91/2.44 oag6, oag7, oag8, oag9, oagco1, oagco10, oagco2, oagco3, oagco4, oagco5, oagco6, % 10.91/2.44 oagco7, oagco8, oagco9, oagsub1, oagsub2, oagsub3, oaguc1, oaguc2 % 10.91/2.44 % 10.91/2.44 Those formulas are unsatisfiable: % 10.91/2.44 --------------------------------- % 10.91/2.44 % 10.91/2.44 Begin of proof % 10.91/2.44 | % 10.91/2.44 | ALPHA: (oag10) implies: % 10.91/2.44 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (reverse_line(v1) = v2) | % 10.91/2.44 | ~ (left_apart_point(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) % 10.91/2.44 | % 10.91/2.44 | DELTA: instantiating (con) with fresh symbols all_34_0, all_34_1, all_34_2, % 10.91/2.44 | all_34_3, all_34_4, all_34_5, all_34_6, all_34_7, all_34_8, all_34_9 % 10.91/2.44 | gives: % 10.91/2.44 | (2) ~ (all_34_0 = 0) & line_connecting(all_34_7, all_34_9) = all_34_2 & % 10.91/2.44 | line_connecting(all_34_8, all_34_7) = all_34_4 & % 10.91/2.44 | line_connecting(all_34_9, all_34_8) = all_34_5 & reverse_line(all_34_2) % 10.91/2.44 | = all_34_1 & reverse_line(all_34_4) = all_34_3 & % 10.91/2.44 | left_apart_point(all_34_6, all_34_1) = 0 & left_apart_point(all_34_6, % 10.91/2.45 | all_34_3) = 0 & left_apart_point(all_34_6, all_34_5) = all_34_0 & % 10.91/2.45 | left_apart_point(all_34_7, all_34_5) = 0 & $i(all_34_1) & $i(all_34_2) % 10.91/2.45 | & $i(all_34_3) & $i(all_34_4) & $i(all_34_5) & $i(all_34_6) & % 10.91/2.45 | $i(all_34_7) & $i(all_34_8) & $i(all_34_9) % 10.91/2.45 | % 10.91/2.45 | ALPHA: (2) implies: % 10.91/2.45 | (3) $i(all_34_6) % 10.91/2.45 | (4) $i(all_34_2) % 10.91/2.45 | (5) left_apart_point(all_34_6, all_34_1) = 0 % 10.91/2.45 | (6) reverse_line(all_34_2) = all_34_1 % 10.91/2.45 | % 10.91/2.45 | GROUND_INST: instantiating (1) with all_34_6, all_34_2, all_34_1, simplifying % 10.91/2.45 | with (3), (4), (5), (6) gives: % 10.91/2.45 | (7) $false % 10.91/2.45 | % 10.91/2.45 | CLOSE: (7) is inconsistent. % 10.91/2.45 | % 10.91/2.45 End of proof % 10.91/2.45 % SZS output end Proof for theBenchmark % 10.91/2.45 % 10.91/2.45 1837ms %------------------------------------------------------------------------------