%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 16:39:57 EDT 2023 % Result : Theorem 7.66s 1.75s % Output : Proof 10.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0. % 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Aug 28 03:46:25 EDT 2023 % 0.13/0.33 % CPUTime : % 0.50/0.58 ________ _____ % 0.50/0.58 ___ __ \_________(_)________________________________ % 0.50/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.50/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.50/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.50/0.58 % 0.50/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.50/0.58 (2023-06-19) % 0.50/0.58 % 0.50/0.58 (c) Philipp Rümmer, 2009-2023 % 0.50/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.50/0.58 Amanda Stjerna. % 0.50/0.58 Free software under BSD-3-Clause. % 0.50/0.58 % 0.50/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.50/0.58 % 0.50/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.50/0.59 Running up to 7 provers in parallel. % 0.50/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.50/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.50/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.50/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.50/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.50/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.50/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.92/0.99 Prover 1: Preprocessing ... % 1.92/0.99 Prover 4: Preprocessing ... % 2.36/1.03 Prover 6: Preprocessing ... % 2.36/1.03 Prover 5: Preprocessing ... % 2.36/1.03 Prover 0: Preprocessing ... % 2.36/1.03 Prover 3: Preprocessing ... % 2.36/1.03 Prover 2: Preprocessing ... % 3.38/1.20 Prover 5: Proving ... % 3.38/1.20 Prover 2: Proving ... % 3.38/1.22 Prover 1: Constructing countermodel ... % 3.38/1.22 Prover 3: Constructing countermodel ... % 3.38/1.23 Prover 6: Proving ... % 3.99/1.27 Prover 4: Constructing countermodel ... % 4.33/1.30 Prover 0: Proving ... % 4.74/1.34 Prover 3: gave up % 4.74/1.34 Prover 1: gave up % 4.74/1.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.74/1.36 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.84/1.38 Prover 8: Preprocessing ... % 4.84/1.38 Prover 7: Preprocessing ... % 5.25/1.42 Prover 7: Constructing countermodel ... % 5.25/1.45 Prover 8: Warning: ignoring some quantifiers % 5.53/1.45 Prover 8: Constructing countermodel ... % 5.53/1.46 Prover 7: gave up % 5.53/1.46 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.53/1.47 Prover 9: Preprocessing ... % 5.53/1.51 Prover 8: gave up % 5.53/1.52 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.53/1.53 Prover 10: Preprocessing ... % 6.19/1.56 Prover 10: Constructing countermodel ... % 6.54/1.59 Prover 9: Constructing countermodel ... % 6.54/1.59 Prover 10: gave up % 6.54/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.54/1.61 Prover 11: Preprocessing ... % 7.66/1.73 Prover 11: Constructing countermodel ... % 7.66/1.75 Prover 0: proved (1144ms) % 7.66/1.75 % 7.66/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.66/1.75 % 7.66/1.75 Prover 9: stopped % 7.66/1.75 Prover 6: stopped % 7.85/1.75 Prover 5: stopped % 7.85/1.75 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.85/1.75 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 7.85/1.75 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 7.85/1.76 Prover 16: Preprocessing ... % 7.85/1.76 Prover 2: stopped % 7.85/1.76 Prover 19: Preprocessing ... % 7.85/1.77 Prover 13: Preprocessing ... % 7.85/1.79 Prover 16: Warning: ignoring some quantifiers % 7.85/1.79 Prover 16: Constructing countermodel ... % 7.85/1.79 Prover 13: Warning: ignoring some quantifiers % 7.85/1.80 Prover 13: Constructing countermodel ... % 8.41/1.83 Prover 19: Warning: ignoring some quantifiers % 8.41/1.83 Prover 19: Constructing countermodel ... % 8.75/1.92 Prover 19: gave up % 10.16/2.12 Prover 13: Found proof (size 25) % 10.16/2.12 Prover 13: proved (368ms) % 10.16/2.12 Prover 16: stopped % 10.16/2.12 Prover 4: stopped % 10.16/2.12 Prover 11: stopped % 10.16/2.12 % 10.16/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.16/2.12 % 10.71/2.13 % SZS output start Proof for theBenchmark % 10.71/2.13 Assumptions after simplification: % 10.71/2.13 --------------------------------- % 10.71/2.13 % 10.71/2.13 (basis_of) % 10.71/2.15 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (vec_to_class(v1) = v2) | ~ % 10.71/2.15 $i(v1) | ~ $i(v0) | ~ basis_of(v0, v1) | a_subset_of(v0, v2)) & ! [v0: % 10.71/2.16 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (vec_to_class(v1) = v2) | ~ $i(v1) | % 10.71/2.16 ~ $i(v0) | ~ basis_of(v0, v1) | lin_ind_subset(v0, v1)) & ! [v0: $i] : ! % 10.71/2.16 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ basis_of(v0, v1) | lin_ind_subset(v0, % 10.71/2.16 v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 10.71/2.16 basis_of(v0, v1) | ? [v2: $i] : (vec_to_class(v1) = v2 & $i(v2) & % 10.71/2.16 a_subset_of(v0, v2))) % 10.71/2.16 % 10.71/2.16 (bg_2_2_5) % 10.71/2.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 10.71/2.16 ~ lin_ind_subset(v0, v2) | ~ basis_of(v1, v2) | ? [v3: $i] : ? [v4: $i] % 10.71/2.16 : (union(v0, v3) = v4 & $i(v4) & $i(v3) & a_subset_of(v3, v1) & basis_of(v4, % 10.71/2.16 v2))) % 10.71/2.16 % 10.71/2.16 (bg_2_4_2) % 10.71/2.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (vec_to_class(v0) % 10.71/2.16 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ a_vector_subspace_of(v0, % 10.71/2.16 v1) | ~ a_subset_of(v2, v3) | ~ lin_ind_subset(v2, v1) | % 10.71/2.16 lin_ind_subset(v2, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 10.71/2.16 $i] : ( ~ (vec_to_class(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 10.71/2.16 a_vector_subspace_of(v0, v1) | ~ a_subset_of(v2, v3) | ~ % 10.71/2.16 lin_ind_subset(v2, v0) | lin_ind_subset(v2, v1)) & ! [v0: $i] : ! [v1: $i] % 10.71/2.16 : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 10.71/2.16 a_vector_subspace_of(v0, v1) | ~ lin_ind_subset(v2, v1) | % 10.71/2.16 lin_ind_subset(v2, v0) | ? [v3: $i] : (vec_to_class(v0) = v3 & $i(v3) & ~ % 10.71/2.16 a_subset_of(v2, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 10.71/2.16 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ a_vector_subspace_of(v0, v1) | ~ % 10.71/2.16 lin_ind_subset(v2, v0) | lin_ind_subset(v2, v1) | ? [v3: $i] : % 10.71/2.16 (vec_to_class(v0) = v3 & $i(v3) & ~ a_subset_of(v2, v3))) % 10.71/2.16 % 10.71/2.16 (bg_2_4_3) % 10.71/2.17 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & % 10.71/2.17 $i(v1) & $i(v0) & a_vector_subspace_of(v2, v3) & a_vector_subspace_of(v0, % 10.71/2.17 v1) & a_vector_space(v3) & a_vector_space(v1) & ! [v4: $i] : ! [v5: $i] % 10.71/2.17 : ! [v6: $i] : ( ~ (union(v4, v5) = v6) | ~ $i(v5) | ~ $i(v4) | ~ % 10.71/2.17 basis_of(v6, v3) | ~ basis_of(v4, v2)) & ? [v4: $i] : ! [v5: $i] : ( ~ % 10.71/2.17 $i(v5) | ~ $i(v4) | ~ basis_of(v5, v0) | ? [v6: $i] : (union(v5, v4) = % 10.71/2.17 v6 & $i(v6) & ~ basis_of(v6, v1)))) % 10.71/2.17 % 10.71/2.17 (bg_2_4_a) % 10.71/2.17 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 10.71/2.17 a_vector_subspace_of(v0, v1) | a_vector_space(v0)) % 10.71/2.17 % 10.71/2.17 (bg_remark_63_a) % 10.71/2.17 ! [v0: $i] : ( ~ $i(v0) | ~ a_vector_space(v0) | ? [v1: $i] : ($i(v1) & % 10.71/2.17 basis_of(v1, v0))) % 10.71/2.17 % 10.71/2.17 Those formulas are unsatisfiable: % 10.71/2.17 --------------------------------- % 10.71/2.17 % 10.71/2.17 Begin of proof % 10.71/2.17 | % 10.71/2.17 | ALPHA: (basis_of) implies: % 10.71/2.17 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ basis_of(v0, % 10.71/2.17 | v1) | ? [v2: $i] : (vec_to_class(v1) = v2 & $i(v2) & % 10.71/2.17 | a_subset_of(v0, v2))) % 10.71/2.17 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ basis_of(v0, % 10.71/2.17 | v1) | lin_ind_subset(v0, v1)) % 10.71/2.17 | % 10.71/2.17 | ALPHA: (bg_2_4_2) implies: % 10.71/2.17 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 10.71/2.17 | (vec_to_class(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 10.71/2.17 | a_vector_subspace_of(v0, v1) | ~ a_subset_of(v2, v3) | ~ % 10.71/2.17 | lin_ind_subset(v2, v0) | lin_ind_subset(v2, v1)) % 10.71/2.17 | % 10.71/2.17 | DELTA: instantiating (bg_2_4_3) with fresh symbols all_8_0, all_8_1, all_8_2, % 10.71/2.17 | all_8_3 gives: % 10.98/2.18 | (4) $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & % 10.98/2.18 | a_vector_subspace_of(all_8_1, all_8_0) & a_vector_subspace_of(all_8_3, % 10.98/2.18 | all_8_2) & a_vector_space(all_8_0) & a_vector_space(all_8_2) & ! % 10.98/2.18 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ % 10.98/2.18 | $i(v1) | ~ $i(v0) | ~ basis_of(v2, all_8_0) | ~ basis_of(v0, % 10.98/2.18 | all_8_1)) & ? [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 10.98/2.18 | basis_of(v1, all_8_3) | ? [v2: $i] : (union(v1, v0) = v2 & $i(v2) & % 10.98/2.18 | ~ basis_of(v2, all_8_2))) % 10.98/2.18 | % 10.98/2.18 | ALPHA: (4) implies: % 10.98/2.18 | (5) a_vector_space(all_8_0) % 10.98/2.18 | (6) a_vector_subspace_of(all_8_1, all_8_0) % 10.98/2.18 | (7) $i(all_8_1) % 10.98/2.18 | (8) $i(all_8_0) % 10.98/2.18 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ % 10.98/2.18 | $i(v1) | ~ $i(v0) | ~ basis_of(v2, all_8_0) | ~ basis_of(v0, % 10.98/2.18 | all_8_1)) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (bg_remark_63_a) with all_8_0, simplifying with % 10.98/2.18 | (5), (8) gives: % 10.98/2.18 | (10) ? [v0: $i] : ($i(v0) & basis_of(v0, all_8_0)) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (bg_2_4_a) with all_8_1, all_8_0, simplifying with % 10.98/2.18 | (6), (7), (8) gives: % 10.98/2.18 | (11) a_vector_space(all_8_1) % 10.98/2.18 | % 10.98/2.18 | DELTA: instantiating (10) with fresh symbol all_19_0 gives: % 10.98/2.18 | (12) $i(all_19_0) & basis_of(all_19_0, all_8_0) % 10.98/2.18 | % 10.98/2.18 | ALPHA: (12) implies: % 10.98/2.18 | (13) basis_of(all_19_0, all_8_0) % 10.98/2.18 | (14) $i(all_19_0) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (2) with all_19_0, all_8_0, simplifying with (8), % 10.98/2.18 | (13), (14) gives: % 10.98/2.18 | (15) lin_ind_subset(all_19_0, all_8_0) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (bg_remark_63_a) with all_8_1, simplifying with % 10.98/2.18 | (7), (11) gives: % 10.98/2.18 | (16) ? [v0: $i] : ($i(v0) & basis_of(v0, all_8_1)) % 10.98/2.18 | % 10.98/2.18 | DELTA: instantiating (16) with fresh symbol all_29_0 gives: % 10.98/2.18 | (17) $i(all_29_0) & basis_of(all_29_0, all_8_1) % 10.98/2.18 | % 10.98/2.18 | ALPHA: (17) implies: % 10.98/2.18 | (18) basis_of(all_29_0, all_8_1) % 10.98/2.18 | (19) $i(all_29_0) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (2) with all_29_0, all_8_1, simplifying with (7), % 10.98/2.18 | (18), (19) gives: % 10.98/2.18 | (20) lin_ind_subset(all_29_0, all_8_1) % 10.98/2.18 | % 10.98/2.18 | GROUND_INST: instantiating (1) with all_29_0, all_8_1, simplifying with (7), % 10.98/2.18 | (18), (19) gives: % 10.98/2.18 | (21) ? [v0: $i] : (vec_to_class(all_8_1) = v0 & $i(v0) & % 10.98/2.19 | a_subset_of(all_29_0, v0)) % 10.98/2.19 | % 10.98/2.19 | GROUND_INST: instantiating (bg_2_2_5) with all_19_0, all_19_0, all_8_0, % 10.98/2.19 | simplifying with (8), (13), (14), (15) gives: % 10.98/2.19 | (22) ? [v0: $i] : ? [v1: $i] : (union(all_19_0, v0) = v1 & $i(v1) & % 10.98/2.19 | $i(v0) & a_subset_of(v0, all_19_0) & basis_of(v1, all_8_0)) % 10.98/2.19 | % 10.98/2.19 | DELTA: instantiating (21) with fresh symbol all_43_0 gives: % 10.98/2.19 | (23) vec_to_class(all_8_1) = all_43_0 & $i(all_43_0) & % 10.98/2.19 | a_subset_of(all_29_0, all_43_0) % 10.98/2.19 | % 10.98/2.19 | ALPHA: (23) implies: % 10.98/2.19 | (24) a_subset_of(all_29_0, all_43_0) % 10.98/2.19 | (25) vec_to_class(all_8_1) = all_43_0 % 10.98/2.19 | % 10.98/2.19 | DELTA: instantiating (22) with fresh symbols all_47_0, all_47_1 gives: % 10.98/2.19 | (26) union(all_19_0, all_47_1) = all_47_0 & $i(all_47_0) & $i(all_47_1) & % 10.98/2.19 | a_subset_of(all_47_1, all_19_0) & basis_of(all_47_0, all_8_0) % 10.98/2.19 | % 10.98/2.19 | ALPHA: (26) implies: % 10.98/2.19 | (27) basis_of(all_47_0, all_8_0) % 10.98/2.19 | (28) $i(all_47_0) % 10.98/2.19 | % 10.98/2.19 | GROUND_INST: instantiating (3) with all_8_1, all_8_0, all_29_0, all_43_0, % 10.98/2.19 | simplifying with (6), (7), (8), (19), (20), (24), (25) gives: % 10.98/2.19 | (29) lin_ind_subset(all_29_0, all_8_0) % 10.98/2.19 | % 10.98/2.19 | GROUND_INST: instantiating (bg_2_2_5) with all_29_0, all_47_0, all_8_0, % 10.98/2.19 | simplifying with (8), (19), (27), (28), (29) gives: % 10.98/2.19 | (30) ? [v0: $i] : ? [v1: $i] : (union(all_29_0, v0) = v1 & $i(v1) & % 10.98/2.19 | $i(v0) & a_subset_of(v0, all_47_0) & basis_of(v1, all_8_0)) % 10.98/2.19 | % 10.98/2.19 | DELTA: instantiating (30) with fresh symbols all_105_0, all_105_1 gives: % 10.98/2.19 | (31) union(all_29_0, all_105_1) = all_105_0 & $i(all_105_0) & $i(all_105_1) % 10.98/2.19 | & a_subset_of(all_105_1, all_47_0) & basis_of(all_105_0, all_8_0) % 10.98/2.19 | % 10.98/2.19 | ALPHA: (31) implies: % 10.98/2.19 | (32) basis_of(all_105_0, all_8_0) % 10.98/2.19 | (33) $i(all_105_1) % 10.98/2.19 | (34) union(all_29_0, all_105_1) = all_105_0 % 10.98/2.19 | % 10.98/2.19 | GROUND_INST: instantiating (9) with all_29_0, all_105_1, all_105_0, % 10.98/2.19 | simplifying with (18), (19), (32), (33), (34) gives: % 10.98/2.19 | (35) $false % 10.98/2.19 | % 10.98/2.19 | CLOSE: (35) is inconsistent. % 10.98/2.19 | % 10.98/2.19 End of proof % 10.98/2.19 % SZS output end Proof for theBenchmark % 10.98/2.19 % 10.98/2.19 1609ms %------------------------------------------------------------------------------