%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU386+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n022.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 : Thu Aug 31 17:44:25 EDT 2023 % Result : Theorem 12.82s 2.49s % Output : Proof 19.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU386+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n022.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 : Wed Aug 23 15:34:56 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.56 ________ _____ % 0.19/0.56 ___ __ \_________(_)________________________________ % 0.19/0.56 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.56 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.56 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.56 % 0.19/0.56 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.56 (2023-06-19) % 0.19/0.56 % 0.19/0.56 (c) Philipp Rümmer, 2009-2023 % 0.19/0.56 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.56 Amanda Stjerna. % 0.19/0.56 Free software under BSD-3-Clause. % 0.19/0.56 % 0.19/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.56 % 0.19/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.58 Running up to 7 provers in parallel. % 0.19/0.59 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.59 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.59 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.59 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.59 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.14/1.12 Prover 1: Preprocessing ... % 3.14/1.12 Prover 4: Preprocessing ... % 3.14/1.16 Prover 5: Preprocessing ... % 3.14/1.16 Prover 3: Preprocessing ... % 3.14/1.16 Prover 2: Preprocessing ... % 3.14/1.16 Prover 6: Preprocessing ... % 3.14/1.16 Prover 0: Preprocessing ... % 7.49/1.73 Prover 2: Proving ... % 7.49/1.74 Prover 5: Proving ... % 8.18/1.85 Prover 1: Warning: ignoring some quantifiers % 8.18/1.87 Prover 1: Constructing countermodel ... % 8.75/1.90 Prover 6: Proving ... % 8.75/1.92 Prover 3: Warning: ignoring some quantifiers % 8.75/1.96 Prover 3: Constructing countermodel ... % 12.82/2.49 Prover 5: proved (1899ms) % 12.82/2.49 % 12.82/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.82/2.49 % 12.82/2.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.82/2.49 Prover 3: stopped % 12.82/2.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.82/2.49 Prover 2: stopped % 12.82/2.49 Prover 6: stopped % 13.46/2.52 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.46/2.52 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.46/2.58 Prover 8: Preprocessing ... % 14.00/2.59 Prover 7: Preprocessing ... % 14.00/2.60 Prover 10: Preprocessing ... % 14.00/2.62 Prover 11: Preprocessing ... % 14.00/2.69 Prover 10: Warning: ignoring some quantifiers % 14.00/2.70 Prover 7: Warning: ignoring some quantifiers % 14.00/2.70 Prover 10: Constructing countermodel ... % 14.00/2.72 Prover 8: Warning: ignoring some quantifiers % 14.00/2.73 Prover 7: Constructing countermodel ... % 14.00/2.75 Prover 8: Constructing countermodel ... % 15.49/2.81 Prover 4: Warning: ignoring some quantifiers % 15.76/2.87 Prover 4: Constructing countermodel ... % 15.76/2.89 Prover 0: Proving ... % 15.76/2.90 Prover 0: stopped % 16.37/2.91 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.37/2.97 Prover 13: Preprocessing ... % 17.66/3.09 Prover 7: Found proof (size 34) % 17.84/3.09 Prover 7: proved (599ms) % 17.84/3.09 Prover 4: stopped % 17.84/3.09 Prover 8: stopped % 17.84/3.09 Prover 1: stopped % 17.84/3.10 Prover 10: stopped % 17.84/3.10 Prover 13: Warning: ignoring some quantifiers % 17.84/3.11 Prover 13: Constructing countermodel ... % 17.84/3.11 Prover 13: stopped % 18.34/3.36 Prover 11: Warning: ignoring some quantifiers % 18.87/3.39 Prover 11: Constructing countermodel ... % 18.87/3.40 Prover 11: stopped % 18.87/3.41 % 18.87/3.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.87/3.41 % 18.87/3.42 % SZS output start Proof for theBenchmark % 18.87/3.43 Assumptions after simplification: % 18.87/3.43 --------------------------------- % 18.87/3.43 % 18.87/3.43 (d18_yellow_6) % 19.48/3.48 ! [v0: $i] : ! [v1: $i] : ( ~ (the_carrier(v0) = v1) | ~ $i(v0) | ~ % 19.48/3.48 top_str(v0) | ~ topological_space(v0) | empty_carrier(v0) | ? [v2: $i] : % 19.48/3.48 (powerset(v1) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 19.48/3.48 [v6: $i] : ( ~ (lim_points_of_net(v0, v3) = v4) | ~ $i(v6) | ~ $i(v5) | % 19.48/3.48 ~ $i(v4) | ~ $i(v3) | ~ point_neighbourhood(v6, v0, v5) | ~ % 19.48/3.48 net_str(v3, v0) | ~ directed_relstr(v3) | ~ transitive_relstr(v3) | ~ % 19.48/3.48 element(v5, v1) | ~ element(v4, v2) | ~ in(v5, v4) | % 19.48/3.48 is_eventually_in(v0, v3, v6) | empty_carrier(v3)) & ! [v3: $i] : ! % 19.48/3.48 [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (lim_points_of_net(v0, v3) = v4) | % 19.48/3.48 ~ $i(v5) | ~ $i(v3) | ~ net_str(v3, v0) | ~ directed_relstr(v3) | ~ % 19.48/3.48 transitive_relstr(v3) | ~ element(v5, v2) | empty_carrier(v3) | ? [v6: % 19.48/3.48 $i] : ? [v7: $i] : ($i(v7) & $i(v6) & element(v6, v1) & ( ~ in(v6, % 19.48/3.48 v5) | (point_neighbourhood(v7, v0, v6) & ~ is_eventually_in(v0, % 19.48/3.48 v3, v7))) & (in(v6, v5) | ! [v8: $i] : ( ~ $i(v8) | ~ % 19.48/3.48 point_neighbourhood(v8, v0, v6) | is_eventually_in(v0, v3, v8))))) % 19.48/3.48 & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (lim_points_of_net(v0, v3) % 19.48/3.48 = v4) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ net_str(v3, v0) | ~ % 19.48/3.48 directed_relstr(v3) | ~ transitive_relstr(v3) | ~ element(v5, v1) | ~ % 19.48/3.48 element(v4, v2) | empty_carrier(v3) | in(v5, v4) | ? [v6: $i] : ($i(v6) % 19.48/3.48 & point_neighbourhood(v6, v0, v5) & ~ is_eventually_in(v0, v3, % 19.48/3.48 v6))))) % 19.48/3.48 % 19.48/3.48 (d9_waybel_9) % 19.59/3.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 19.59/3.49 (the_carrier(v0) = v1) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 19.59/3.49 is_a_cluster_point_of_netstr(v0, v2, v3) | ~ point_neighbourhood(v4, v0, % 19.59/3.49 v3) | ~ net_str(v2, v0) | ~ top_str(v0) | ~ topological_space(v0) | ~ % 19.59/3.49 element(v3, v1) | is_often_in(v0, v2, v4) | empty_carrier(v2) | % 19.59/3.49 empty_carrier(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 19.59/3.49 ( ~ (the_carrier(v0) = v1) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 19.59/3.49 net_str(v2, v0) | ~ top_str(v0) | ~ topological_space(v0) | ~ element(v3, % 19.59/3.49 v1) | is_a_cluster_point_of_netstr(v0, v2, v3) | empty_carrier(v2) | % 19.59/3.49 empty_carrier(v0) | ? [v4: $i] : ($i(v4) & point_neighbourhood(v4, v0, v3) % 19.59/3.49 & ~ is_often_in(v0, v2, v4))) % 19.59/3.49 % 19.59/3.49 (dt_k11_yellow_6) % 19.59/3.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (lim_points_of_net(v0, v1) = v2) % 19.59/3.49 | ~ $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) | ~ directed_relstr(v1) | ~ % 19.59/3.49 transitive_relstr(v1) | ~ top_str(v0) | ~ topological_space(v0) | % 19.59/3.49 empty_carrier(v1) | empty_carrier(v0) | ? [v3: $i] : ? [v4: $i] : % 19.59/3.49 (the_carrier(v0) = v3 & powerset(v3) = v4 & $i(v4) & $i(v3) & element(v2, % 19.59/3.49 v4))) % 19.59/3.49 % 19.59/3.49 (dt_l1_pre_topc) % 19.59/3.49 ! [v0: $i] : ( ~ $i(v0) | ~ top_str(v0) | one_sorted_str(v0)) % 19.59/3.49 % 19.59/3.49 (dt_m1_connsp_2) % 19.59/3.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 19.59/3.50 (the_carrier(v0) = v2) | ~ (powerset(v2) = v3) | ~ $i(v4) | ~ $i(v1) | ~ % 19.59/3.50 $i(v0) | ~ point_neighbourhood(v4, v0, v1) | ~ top_str(v0) | ~ % 19.59/3.50 topological_space(v0) | ~ element(v1, v2) | empty_carrier(v0) | element(v4, % 19.59/3.50 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (the_carrier(v0) = % 19.59/3.50 v2) | ~ $i(v1) | ~ $i(v0) | ~ top_str(v0) | ~ topological_space(v0) | % 19.59/3.50 ~ element(v1, v2) | empty_carrier(v0) | ? [v3: $i] : (powerset(v2) = v3 & % 19.59/3.50 $i(v3) & ! [v4: $i] : ( ~ $i(v4) | ~ point_neighbourhood(v4, v0, v1) | % 19.59/3.50 element(v4, v3)))) % 19.59/3.50 % 19.59/3.50 (t28_yellow_6) % 19.59/3.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.59/3.50 ~ one_sorted_str(v0) | ~ is_eventually_in(v0, v1, v2) | ~ net_str(v1, v0) % 19.59/3.50 | ~ directed_relstr(v1) | ~ transitive_relstr(v1) | is_often_in(v0, v1, % 19.59/3.50 v2) | empty_carrier(v1) | empty_carrier(v0)) % 19.59/3.50 % 19.59/3.50 (t29_waybel_9) % 19.59/3.50 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 19.59/3.50 (the_carrier(v0) = v1 & lim_points_of_net(v0, v2) = v3 & $i(v4) & $i(v3) & % 19.59/3.50 $i(v2) & $i(v1) & $i(v0) & net_str(v2, v0) & directed_relstr(v2) & % 19.59/3.50 transitive_relstr(v2) & top_str(v0) & topological_space(v0) & element(v4, % 19.59/3.50 v1) & in(v4, v3) & ~ is_a_cluster_point_of_netstr(v0, v2, v4) & ~ % 19.59/3.50 empty_carrier(v2) & ~ empty_carrier(v0)) % 19.59/3.50 % 19.59/3.50 (function-axioms) % 19.59/3.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.59/3.50 (lim_points_of_net(v3, v2) = v1) | ~ (lim_points_of_net(v3, v2) = v0)) & ! % 19.59/3.50 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (the_carrier(v2) = v1) | % 19.59/3.50 ~ (the_carrier(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 19.59/3.50 v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) % 19.59/3.50 % 19.59/3.50 Further assumptions not needed in the proof: % 19.59/3.50 -------------------------------------------- % 19.59/3.51 antisymmetry_r2_hidden, cc1_finset_1, cc1_finsub_1, cc1_funct_1, cc2_finset_1, % 19.59/3.51 cc2_finsub_1, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_l1_orders_2, dt_l1_struct_0, % 19.59/3.51 dt_l1_waybel_0, dt_m1_subset_1, dt_u1_struct_0, existence_l1_orders_2, % 19.59/3.51 existence_l1_pre_topc, existence_l1_struct_0, existence_l1_waybel_0, % 19.59/3.51 existence_m1_connsp_2, existence_m1_subset_1, fc1_finsub_1, fc1_struct_0, % 19.59/3.51 fc1_xboole_0, rc1_finset_1, rc1_xboole_0, rc2_xboole_0, rc3_finset_1, % 19.59/3.51 rc3_struct_0, rc4_finset_1, rc5_struct_0, reflexivity_r1_tarski, t1_subset, % 19.59/3.51 t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole % 19.59/3.51 % 19.59/3.51 Those formulas are unsatisfiable: % 19.59/3.51 --------------------------------- % 19.59/3.51 % 19.59/3.51 Begin of proof % 19.59/3.51 | % 19.59/3.51 | ALPHA: (d9_waybel_9) implies: % 19.59/3.51 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 19.59/3.51 | (the_carrier(v0) = v1) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ % 19.59/3.51 | net_str(v2, v0) | ~ top_str(v0) | ~ topological_space(v0) | ~ % 19.59/3.51 | element(v3, v1) | is_a_cluster_point_of_netstr(v0, v2, v3) | % 19.59/3.51 | empty_carrier(v2) | empty_carrier(v0) | ? [v4: $i] : ($i(v4) & % 19.59/3.51 | point_neighbourhood(v4, v0, v3) & ~ is_often_in(v0, v2, v4))) % 19.59/3.51 | % 19.59/3.51 | ALPHA: (dt_m1_connsp_2) implies: % 19.59/3.51 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (the_carrier(v0) = v2) | % 19.59/3.51 | ~ $i(v1) | ~ $i(v0) | ~ top_str(v0) | ~ topological_space(v0) | ~ % 19.59/3.51 | element(v1, v2) | empty_carrier(v0) | ? [v3: $i] : (powerset(v2) = % 19.59/3.51 | v3 & $i(v3) & ! [v4: $i] : ( ~ $i(v4) | ~ point_neighbourhood(v4, % 19.59/3.51 | v0, v1) | element(v4, v3)))) % 19.59/3.51 | % 19.59/3.51 | ALPHA: (function-axioms) implies: % 19.59/3.51 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = % 19.59/3.51 | v1) | ~ (powerset(v2) = v0)) % 19.59/3.51 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 19.59/3.51 | (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 19.59/3.51 | % 19.59/3.51 | DELTA: instantiating (t29_waybel_9) with fresh symbols all_49_0, all_49_1, % 19.59/3.51 | all_49_2, all_49_3, all_49_4 gives: % 19.59/3.52 | (5) the_carrier(all_49_4) = all_49_3 & lim_points_of_net(all_49_4, % 19.59/3.52 | all_49_2) = all_49_1 & $i(all_49_0) & $i(all_49_1) & $i(all_49_2) & % 19.59/3.52 | $i(all_49_3) & $i(all_49_4) & net_str(all_49_2, all_49_4) & % 19.59/3.52 | directed_relstr(all_49_2) & transitive_relstr(all_49_2) & % 19.59/3.52 | top_str(all_49_4) & topological_space(all_49_4) & element(all_49_0, % 19.59/3.52 | all_49_3) & in(all_49_0, all_49_1) & ~ % 19.59/3.52 | is_a_cluster_point_of_netstr(all_49_4, all_49_2, all_49_0) & ~ % 19.59/3.52 | empty_carrier(all_49_2) & ~ empty_carrier(all_49_4) % 19.59/3.52 | % 19.59/3.52 | ALPHA: (5) implies: % 19.59/3.52 | (6) ~ empty_carrier(all_49_4) % 19.59/3.52 | (7) ~ empty_carrier(all_49_2) % 19.59/3.52 | (8) ~ is_a_cluster_point_of_netstr(all_49_4, all_49_2, all_49_0) % 19.59/3.52 | (9) in(all_49_0, all_49_1) % 19.59/3.52 | (10) element(all_49_0, all_49_3) % 19.59/3.52 | (11) topological_space(all_49_4) % 19.59/3.52 | (12) top_str(all_49_4) % 19.59/3.52 | (13) transitive_relstr(all_49_2) % 19.59/3.52 | (14) directed_relstr(all_49_2) % 19.59/3.52 | (15) net_str(all_49_2, all_49_4) % 19.59/3.52 | (16) $i(all_49_4) % 19.59/3.52 | (17) $i(all_49_2) % 19.59/3.52 | (18) $i(all_49_1) % 19.59/3.52 | (19) $i(all_49_0) % 19.59/3.52 | (20) lim_points_of_net(all_49_4, all_49_2) = all_49_1 % 19.59/3.52 | (21) the_carrier(all_49_4) = all_49_3 % 19.59/3.52 | % 19.75/3.52 | GROUND_INST: instantiating (dt_l1_pre_topc) with all_49_4, simplifying with % 19.75/3.52 | (12), (16) gives: % 19.75/3.52 | (22) one_sorted_str(all_49_4) % 19.75/3.52 | % 19.75/3.52 | GROUND_INST: instantiating (dt_k11_yellow_6) with all_49_4, all_49_2, % 19.75/3.52 | all_49_1, simplifying with (6), (7), (11), (12), (13), (14), % 19.75/3.52 | (15), (16), (17), (20) gives: % 19.75/3.52 | (23) ? [v0: $i] : ? [v1: $i] : (the_carrier(all_49_4) = v0 & powerset(v0) % 19.75/3.52 | = v1 & $i(v1) & $i(v0) & element(all_49_1, v1)) % 19.75/3.52 | % 19.75/3.52 | GROUND_INST: instantiating (1) with all_49_4, all_49_3, all_49_2, all_49_0, % 19.75/3.52 | simplifying with (6), (7), (8), (10), (11), (12), (15), (16), % 19.75/3.52 | (17), (19), (21) gives: % 19.75/3.52 | (24) ? [v0: $i] : ($i(v0) & point_neighbourhood(v0, all_49_4, all_49_0) & % 19.75/3.52 | ~ is_often_in(all_49_4, all_49_2, v0)) % 19.75/3.52 | % 19.75/3.52 | GROUND_INST: instantiating (2) with all_49_4, all_49_0, all_49_3, simplifying % 19.75/3.52 | with (6), (10), (11), (12), (16), (19), (21) gives: % 19.75/3.52 | (25) ? [v0: $i] : (powerset(all_49_3) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 19.75/3.52 | $i(v1) | ~ point_neighbourhood(v1, all_49_4, all_49_0) | % 19.75/3.52 | element(v1, v0))) % 19.75/3.52 | % 19.75/3.52 | GROUND_INST: instantiating (d18_yellow_6) with all_49_4, all_49_3, simplifying % 19.75/3.52 | with (6), (11), (12), (16), (21) gives: % 19.75/3.53 | (26) ? [v0: $i] : (powerset(all_49_3) = v0 & $i(v0) & ! [v1: $i] : ! % 19.75/3.53 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 19.75/3.53 | (lim_points_of_net(all_49_4, v1) = v2) | ~ $i(v4) | ~ $i(v3) | % 19.75/3.53 | ~ $i(v2) | ~ $i(v1) | ~ point_neighbourhood(v4, all_49_4, v3) | % 19.75/3.53 | ~ net_str(v1, all_49_4) | ~ directed_relstr(v1) | ~ % 19.75/3.53 | transitive_relstr(v1) | ~ element(v3, all_49_3) | ~ element(v2, % 19.75/3.53 | v0) | ~ in(v3, v2) | is_eventually_in(all_49_4, v1, v4) | % 19.75/3.53 | empty_carrier(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 % 19.75/3.53 | = v2 | ~ (lim_points_of_net(all_49_4, v1) = v2) | ~ $i(v3) | ~ % 19.75/3.53 | $i(v1) | ~ net_str(v1, all_49_4) | ~ directed_relstr(v1) | ~ % 19.75/3.53 | transitive_relstr(v1) | ~ element(v3, v0) | empty_carrier(v1) | % 19.75/3.53 | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & element(v4, % 19.75/3.53 | all_49_3) & ( ~ in(v4, v3) | (point_neighbourhood(v5, % 19.75/3.53 | all_49_4, v4) & ~ is_eventually_in(all_49_4, v1, v5))) & % 19.75/3.53 | (in(v4, v3) | ! [v6: $i] : ( ~ $i(v6) | ~ % 19.75/3.53 | point_neighbourhood(v6, all_49_4, v4) | % 19.75/3.53 | is_eventually_in(all_49_4, v1, v6))))) & ! [v1: $i] : ! % 19.75/3.53 | [v2: $i] : ! [v3: $i] : ( ~ (lim_points_of_net(all_49_4, v1) = v2) % 19.75/3.53 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ net_str(v1, all_49_4) | % 19.75/3.53 | ~ directed_relstr(v1) | ~ transitive_relstr(v1) | ~ element(v3, % 19.75/3.53 | all_49_3) | ~ element(v2, v0) | empty_carrier(v1) | in(v3, v2) % 19.75/3.53 | | ? [v4: $i] : ($i(v4) & point_neighbourhood(v4, all_49_4, v3) & % 19.75/3.53 | ~ is_eventually_in(all_49_4, v1, v4)))) % 19.75/3.53 | % 19.75/3.53 | DELTA: instantiating (24) with fresh symbol all_67_0 gives: % 19.75/3.53 | (27) $i(all_67_0) & point_neighbourhood(all_67_0, all_49_4, all_49_0) & ~ % 19.75/3.53 | is_often_in(all_49_4, all_49_2, all_67_0) % 19.75/3.53 | % 19.75/3.53 | ALPHA: (27) implies: % 19.75/3.53 | (28) ~ is_often_in(all_49_4, all_49_2, all_67_0) % 19.75/3.53 | (29) point_neighbourhood(all_67_0, all_49_4, all_49_0) % 19.75/3.53 | (30) $i(all_67_0) % 19.80/3.53 | % 19.80/3.53 | DELTA: instantiating (25) with fresh symbol all_69_0 gives: % 19.80/3.53 | (31) powerset(all_49_3) = all_69_0 & $i(all_69_0) & ! [v0: $i] : ( ~ % 19.80/3.53 | $i(v0) | ~ point_neighbourhood(v0, all_49_4, all_49_0) | % 19.80/3.53 | element(v0, all_69_0)) % 19.80/3.53 | % 19.80/3.53 | ALPHA: (31) implies: % 19.80/3.53 | (32) powerset(all_49_3) = all_69_0 % 19.80/3.53 | % 19.80/3.53 | DELTA: instantiating (23) with fresh symbols all_72_0, all_72_1 gives: % 19.80/3.53 | (33) the_carrier(all_49_4) = all_72_1 & powerset(all_72_1) = all_72_0 & % 19.80/3.53 | $i(all_72_0) & $i(all_72_1) & element(all_49_1, all_72_0) % 19.80/3.53 | % 19.80/3.53 | ALPHA: (33) implies: % 19.80/3.53 | (34) element(all_49_1, all_72_0) % 19.80/3.53 | (35) powerset(all_72_1) = all_72_0 % 19.80/3.53 | (36) the_carrier(all_49_4) = all_72_1 % 19.80/3.53 | % 19.80/3.53 | DELTA: instantiating (26) with fresh symbol all_74_0 gives: % 19.80/3.53 | (37) powerset(all_49_3) = all_74_0 & $i(all_74_0) & ! [v0: $i] : ! [v1: % 19.80/3.53 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (lim_points_of_net(all_49_4, % 19.80/3.53 | v0) = v1) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 19.80/3.53 | point_neighbourhood(v3, all_49_4, v2) | ~ net_str(v0, all_49_4) | % 19.80/3.53 | ~ directed_relstr(v0) | ~ transitive_relstr(v0) | ~ element(v2, % 19.80/3.53 | all_49_3) | ~ element(v1, all_74_0) | ~ in(v2, v1) | % 19.80/3.53 | is_eventually_in(all_49_4, v0, v3) | empty_carrier(v0)) & ! [v0: % 19.80/3.53 | $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 19.80/3.53 | (lim_points_of_net(all_49_4, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 19.80/3.53 | net_str(v0, all_49_4) | ~ directed_relstr(v0) | ~ % 19.80/3.53 | transitive_relstr(v0) | ~ element(v2, all_74_0) | empty_carrier(v0) % 19.80/3.53 | | ? [v3: $i] : ? [v4: $i] : ($i(v4) & $i(v3) & element(v3, % 19.80/3.53 | all_49_3) & ( ~ in(v3, v2) | (point_neighbourhood(v4, all_49_4, % 19.80/3.53 | v3) & ~ is_eventually_in(all_49_4, v0, v4))) & (in(v3, v2) % 19.80/3.53 | | ! [v5: $i] : ( ~ $i(v5) | ~ point_neighbourhood(v5, % 19.80/3.53 | all_49_4, v3) | is_eventually_in(all_49_4, v0, v5))))) & ! % 19.80/3.53 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 19.80/3.53 | (lim_points_of_net(all_49_4, v0) = v1) | ~ $i(v2) | ~ $i(v1) | ~ % 19.80/3.53 | $i(v0) | ~ net_str(v0, all_49_4) | ~ directed_relstr(v0) | ~ % 19.80/3.53 | transitive_relstr(v0) | ~ element(v2, all_49_3) | ~ element(v1, % 19.80/3.53 | all_74_0) | empty_carrier(v0) | in(v2, v1) | ? [v3: $i] : ($i(v3) % 19.80/3.53 | & point_neighbourhood(v3, all_49_4, v2) & ~ % 19.80/3.53 | is_eventually_in(all_49_4, v0, v3))) % 19.80/3.54 | % 19.80/3.54 | ALPHA: (37) implies: % 19.80/3.54 | (38) powerset(all_49_3) = all_74_0 % 19.80/3.54 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 19.80/3.54 | (lim_points_of_net(all_49_4, v0) = v1) | ~ $i(v3) | ~ $i(v2) | ~ % 19.80/3.54 | $i(v1) | ~ $i(v0) | ~ point_neighbourhood(v3, all_49_4, v2) | ~ % 19.80/3.54 | net_str(v0, all_49_4) | ~ directed_relstr(v0) | ~ % 19.80/3.54 | transitive_relstr(v0) | ~ element(v2, all_49_3) | ~ element(v1, % 19.80/3.54 | all_74_0) | ~ in(v2, v1) | is_eventually_in(all_49_4, v0, v3) | % 19.80/3.54 | empty_carrier(v0)) % 19.80/3.54 | % 19.80/3.54 | GROUND_INST: instantiating (3) with all_69_0, all_74_0, all_49_3, simplifying % 19.80/3.54 | with (32), (38) gives: % 19.80/3.54 | (40) all_74_0 = all_69_0 % 19.80/3.54 | % 19.80/3.54 | GROUND_INST: instantiating (3) with all_69_0, all_72_0, all_49_3, simplifying % 19.80/3.54 | with (32) gives: % 19.80/3.54 | (41) all_72_0 = all_69_0 | ~ (powerset(all_49_3) = all_72_0) % 19.80/3.54 | % 19.80/3.54 | GROUND_INST: instantiating (4) with all_49_3, all_72_1, all_49_4, simplifying % 19.80/3.54 | with (21), (36) gives: % 19.80/3.54 | (42) all_72_1 = all_49_3 % 19.80/3.54 | % 19.80/3.54 | REDUCE: (35), (42) imply: % 19.80/3.54 | (43) powerset(all_49_3) = all_72_0 % 19.80/3.54 | % 19.80/3.54 | BETA: splitting (41) gives: % 19.80/3.54 | % 19.80/3.54 | Case 1: % 19.80/3.54 | | % 19.80/3.54 | | (44) ~ (powerset(all_49_3) = all_72_0) % 19.80/3.54 | | % 19.80/3.54 | | PRED_UNIFY: (43), (44) imply: % 19.80/3.54 | | (45) $false % 19.80/3.54 | | % 19.80/3.54 | | CLOSE: (45) is inconsistent. % 19.80/3.54 | | % 19.80/3.54 | Case 2: % 19.80/3.54 | | % 19.80/3.54 | | (46) all_72_0 = all_69_0 % 19.80/3.54 | | % 19.80/3.54 | | REDUCE: (34), (46) imply: % 19.80/3.54 | | (47) element(all_49_1, all_69_0) % 19.80/3.54 | | % 19.80/3.54 | | GROUND_INST: instantiating (39) with all_49_2, all_49_1, all_49_0, all_67_0, % 19.80/3.54 | | simplifying with (7), (9), (10), (13), (14), (15), (17), (18), % 19.80/3.54 | | (19), (20), (29), (30) gives: % 19.80/3.54 | | (48) ~ element(all_49_1, all_74_0) | is_eventually_in(all_49_4, % 19.80/3.54 | | all_49_2, all_67_0) % 19.80/3.54 | | % 19.80/3.54 | | BETA: splitting (48) gives: % 19.80/3.54 | | % 19.80/3.54 | | Case 1: % 19.80/3.54 | | | % 19.80/3.54 | | | (49) ~ element(all_49_1, all_74_0) % 19.80/3.54 | | | % 19.80/3.54 | | | REDUCE: (40), (49) imply: % 19.80/3.54 | | | (50) ~ element(all_49_1, all_69_0) % 19.80/3.54 | | | % 19.80/3.54 | | | PRED_UNIFY: (47), (50) imply: % 19.80/3.54 | | | (51) $false % 19.80/3.54 | | | % 19.80/3.54 | | | CLOSE: (51) is inconsistent. % 19.80/3.54 | | | % 19.80/3.54 | | Case 2: % 19.80/3.54 | | | % 19.80/3.54 | | | (52) is_eventually_in(all_49_4, all_49_2, all_67_0) % 19.80/3.54 | | | % 19.80/3.55 | | | GROUND_INST: instantiating (t28_yellow_6) with all_49_4, all_49_2, % 19.80/3.55 | | | all_67_0, simplifying with (6), (7), (13), (14), (15), (16), % 19.80/3.55 | | | (17), (22), (28), (30), (52) gives: % 19.80/3.55 | | | (53) $false % 19.80/3.55 | | | % 19.80/3.55 | | | CLOSE: (53) is inconsistent. % 19.80/3.55 | | | % 19.80/3.55 | | End of split % 19.80/3.55 | | % 19.80/3.55 | End of split % 19.80/3.55 | % 19.80/3.55 End of proof % 19.80/3.55 % SZS output end Proof for theBenchmark % 19.80/3.55 % 19.80/3.55 2982ms %------------------------------------------------------------------------------