%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU374+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 : n001.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 17:44:21 EDT 2023 % Result : Theorem 15.63s 2.85s % Output : Proof 22.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU374+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n001.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Aug 23 14:01:39 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 3.07/1.14 Prover 1: Preprocessing ... % 3.07/1.14 Prover 4: Preprocessing ... % 3.07/1.19 Prover 5: Preprocessing ... % 3.07/1.19 Prover 2: Preprocessing ... % 3.07/1.19 Prover 0: Preprocessing ... % 3.07/1.19 Prover 3: Preprocessing ... % 3.07/1.19 Prover 6: Preprocessing ... % 7.70/1.80 Prover 1: Warning: ignoring some quantifiers % 7.70/1.83 Prover 5: Proving ... % 8.28/1.86 Prover 1: Constructing countermodel ... % 8.56/1.88 Prover 3: Warning: ignoring some quantifiers % 8.56/1.89 Prover 2: Proving ... % 8.56/1.89 Prover 6: Proving ... % 8.56/1.91 Prover 3: Constructing countermodel ... % 10.46/2.15 Prover 4: Warning: ignoring some quantifiers % 10.74/2.22 Prover 4: Constructing countermodel ... % 11.15/2.35 Prover 0: Proving ... % 15.63/2.85 Prover 0: proved (2204ms) % 15.63/2.85 % 15.63/2.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.63/2.85 % 15.63/2.85 Prover 3: stopped % 15.63/2.85 Prover 2: stopped % 15.63/2.85 Prover 5: stopped % 15.63/2.85 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 15.63/2.85 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.63/2.85 Prover 6: stopped % 15.63/2.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 15.63/2.85 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 15.63/2.86 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.63/2.96 Prover 7: Preprocessing ... % 15.63/2.98 Prover 13: Preprocessing ... % 15.63/2.99 Prover 8: Preprocessing ... % 15.63/3.01 Prover 11: Preprocessing ... % 15.63/3.02 Prover 10: Preprocessing ... % 15.63/3.06 Prover 7: Warning: ignoring some quantifiers % 15.63/3.08 Prover 7: Constructing countermodel ... % 16.91/3.12 Prover 10: Warning: ignoring some quantifiers % 17.67/3.14 Prover 10: Constructing countermodel ... % 17.67/3.14 Prover 13: Warning: ignoring some quantifiers % 17.67/3.15 Prover 13: Constructing countermodel ... % 18.38/3.24 Prover 8: Warning: ignoring some quantifiers % 18.38/3.25 Prover 8: Constructing countermodel ... % 19.85/3.43 Prover 11: Warning: ignoring some quantifiers % 20.04/3.44 Prover 11: Constructing countermodel ... % 21.75/3.68 Prover 13: Found proof (size 97) % 21.75/3.68 Prover 13: proved (815ms) % 21.75/3.68 Prover 4: stopped % 21.75/3.68 Prover 8: stopped % 21.75/3.68 Prover 10: stopped % 21.75/3.68 Prover 1: stopped % 21.75/3.68 Prover 7: stopped % 21.75/3.70 Prover 11: stopped % 21.75/3.70 % 21.75/3.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 21.75/3.70 % 21.75/3.72 % SZS output start Proof for theBenchmark % 21.75/3.72 Assumptions after simplification: % 21.75/3.72 --------------------------------- % 21.75/3.72 % 21.75/3.72 (d8_yellow_6) % 21.75/3.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (the_mapping(v0, % 21.75/3.75 v2) = v3) | ~ (the_carrier(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 21.75/3.75 net_str(v2, v0) | ~ one_sorted_str(v0) | ? [v4: $i] : (the_carrier(v2) = % 21.75/3.75 v4 & $i(v4) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ % 21.75/3.75 (the_carrier(v5) = v6) | ~ (relation_dom_restr_as_relation_of(v4, v1, % 21.75/3.75 v3, v6) = v7) | ~ $i(v5) | ~ net_str(v5, v0) | ? [v8: $i] : % 21.75/3.75 (the_mapping(v0, v5) = v8 & $i(v8) & ( ~ (v8 = v7) | ~ subrelstr(v5, % 21.75/3.75 v2) | subnetstr(v5, v0, v2)) & ( ~ subnetstr(v5, v0, v2) | (v8 = % 21.75/3.75 v7 & subrelstr(v5, v2))))))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 21.75/3.75 one_sorted_str(v0) | ? [v1: $i] : (the_carrier(v0) = v1 & $i(v1) & ! [v2: % 21.75/3.75 $i] : ( ~ $i(v2) | ~ net_str(v2, v0) | ? [v3: $i] : ? [v4: $i] : % 21.75/3.75 (the_mapping(v0, v2) = v4 & the_carrier(v2) = v3 & $i(v4) & $i(v3) & ! % 21.75/3.75 [v5: $i] : ( ~ $i(v5) | ~ net_str(v5, v0) | ? [v6: $i] : ? [v7: $i] % 21.75/3.75 : ? [v8: $i] : (the_mapping(v0, v5) = v6 & the_carrier(v5) = v7 & % 21.75/3.75 relation_dom_restr_as_relation_of(v3, v1, v4, v7) = v8 & $i(v8) & % 21.75/3.75 $i(v7) & $i(v6) & ( ~ (v8 = v6) | ~ subrelstr(v5, v2) | % 21.75/3.75 subnetstr(v5, v0, v2)) & ( ~ subnetstr(v5, v0, v2) | (v8 = v6 & % 21.75/3.75 subrelstr(v5, v2))))))))) % 21.75/3.75 % 21.75/3.75 (dt_l1_waybel_0) % 21.75/3.75 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) | ~ % 21.75/3.75 one_sorted_str(v0) | rel_str(v1)) % 21.75/3.75 % 21.75/3.75 (dt_m1_yellow_6) % 21.75/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 21.75/3.76 ~ subnetstr(v2, v0, v1) | ~ net_str(v1, v0) | ~ one_sorted_str(v0) | % 21.75/3.76 net_str(v2, v0)) % 21.75/3.76 % 21.75/3.76 (dt_u1_waybel_0) % 21.75/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (the_mapping(v0, v1) = v2) | ~ % 21.75/3.76 $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) | ~ one_sorted_str(v0) | % 21.75/3.76 function(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 21.75/3.76 (the_mapping(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) | ~ % 21.75/3.76 one_sorted_str(v0) | ? [v3: $i] : ? [v4: $i] : (the_carrier(v1) = v3 & % 21.75/3.76 the_carrier(v0) = v4 & $i(v4) & $i(v3) & quasi_total(v2, v3, v4) & % 21.75/3.76 relation_of2_as_subset(v2, v3, v4))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 21.75/3.76 $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) | ~ one_sorted_str(v0) | ? [v2: % 21.75/3.76 $i] : ? [v3: $i] : ? [v4: $i] : (the_mapping(v0, v1) = v2 & % 21.75/3.76 the_carrier(v1) = v3 & the_carrier(v0) = v4 & $i(v4) & $i(v3) & $i(v2) & % 21.75/3.76 quasi_total(v2, v3, v4) & relation_of2_as_subset(v2, v3, v4) & % 21.75/3.76 function(v2))) % 21.75/3.76 % 21.75/3.76 (existence_l1_waybel_0) % 21.75/3.76 ! [v0: $i] : ( ~ $i(v0) | ~ one_sorted_str(v0) | ? [v1: $i] : ($i(v1) & % 21.75/3.76 net_str(v1, v0))) % 21.75/3.76 % 21.75/3.76 (t20_yellow_6) % 21.75/3.76 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 21.75/3.76 $i] : ? [v6: $i] : (the_carrier(v3) = v4 & the_carrier(v1) = v2 & $i(v6) & % 21.75/3.76 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & related(v3, v5, v6) & % 21.75/3.76 subnetstr(v3, v0, v1) & net_str(v1, v0) & one_sorted_str(v0) & element(v6, % 21.75/3.76 v4) & element(v6, v2) & element(v5, v4) & element(v5, v2) & ~ related(v1, % 21.75/3.76 v5, v6)) % 21.75/3.76 % 21.75/3.76 (t60_yellow_0) % 21.75/3.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.75/3.76 $i] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ $i(v5) | % 21.75/3.76 ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ related(v2, v4, v5) | ~ rel_str(v0) | % 21.75/3.76 ~ subrelstr(v2, v0) | ~ element(v5, v3) | ~ element(v5, v1) | ~ % 21.75/3.76 element(v4, v3) | ~ element(v4, v1) | related(v0, v4, v5)) & ! [v0: $i] : % 21.75/3.76 ( ~ $i(v0) | ~ rel_str(v0) | ? [v1: $i] : (the_carrier(v0) = v1 & $i(v1) & % 21.75/3.76 ! [v2: $i] : ( ~ $i(v2) | ~ subrelstr(v2, v0) | ? [v3: $i] : % 21.75/3.76 (the_carrier(v2) = v3 & $i(v3) & ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) % 21.75/3.76 | ~ $i(v4) | ~ related(v2, v4, v5) | ~ element(v5, v3) | ~ % 21.75/3.76 element(v5, v1) | ~ element(v4, v3) | ~ element(v4, v1) | % 21.75/3.76 related(v0, v4, v5)))))) % 21.75/3.76 % 21.75/3.76 (function-axioms) % 21.75/3.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.75/3.77 $i] : (v1 = v0 | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v1) % 21.75/3.77 | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v0)) & ! [v0: $i] % 21.75/3.77 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.75/3.77 (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, % 21.75/3.77 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 21.75/3.77 = v0 | ~ (the_mapping(v3, v2) = v1) | ~ (the_mapping(v3, v2) = v0)) & ! % 21.75/3.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.75/3.77 (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & % 21.75/3.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (the_carrier(v2) = v1) % 21.75/3.77 | ~ (the_carrier(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 21.75/3.77 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) % 21.75/3.77 % 21.75/3.77 Further assumptions not needed in the proof: % 21.75/3.77 -------------------------------------------- % 21.75/3.77 antisymmetry_r2_hidden, cc1_funct_1, cc1_relat_1, cc1_relset_1, cc2_funct_1, % 21.75/3.77 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k7_relat_1, dt_k8_relset_1, % 21.75/3.77 dt_l1_orders_2, dt_l1_struct_0, dt_m1_relset_1, dt_m1_subset_1, dt_m1_yellow_0, % 21.75/3.77 dt_m2_relset_1, dt_u1_struct_0, existence_l1_orders_2, existence_l1_struct_0, % 21.75/3.77 existence_m1_relset_1, existence_m1_subset_1, existence_m1_yellow_0, % 21.75/3.77 existence_m1_yellow_6, existence_m2_relset_1, fc12_relat_1, fc13_relat_1, % 21.75/3.77 fc1_subset_1, fc4_funct_1, fc4_relat_1, fc4_subset_1, rc1_funct_1, rc1_pboole, % 21.75/3.77 rc1_relat_1, rc1_subset_1, rc2_funct_1, rc2_relat_1, rc2_subset_1, rc3_funct_1, % 21.75/3.77 rc3_relat_1, rc4_funct_1, redefinition_k8_relset_1, redefinition_m2_relset_1, % 21.75/3.77 reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, % 21.75/3.77 t6_boole, t7_boole, t8_boole % 21.75/3.77 % 21.75/3.77 Those formulas are unsatisfiable: % 21.75/3.77 --------------------------------- % 21.75/3.77 % 21.75/3.77 Begin of proof % 21.75/3.77 | % 21.75/3.77 | ALPHA: (d8_yellow_6) implies: % 21.75/3.77 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ one_sorted_str(v0) | ? [v1: $i] : % 21.75/3.77 | (the_carrier(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ % 21.75/3.77 | net_str(v2, v0) | ? [v3: $i] : ? [v4: $i] : (the_mapping(v0, % 21.75/3.77 | v2) = v4 & the_carrier(v2) = v3 & $i(v4) & $i(v3) & ! [v5: % 21.75/3.77 | $i] : ( ~ $i(v5) | ~ net_str(v5, v0) | ? [v6: $i] : ? [v7: % 21.75/3.77 | $i] : ? [v8: $i] : (the_mapping(v0, v5) = v6 & % 21.75/3.77 | the_carrier(v5) = v7 & % 21.75/3.77 | relation_dom_restr_as_relation_of(v3, v1, v4, v7) = v8 & % 21.75/3.77 | $i(v8) & $i(v7) & $i(v6) & ( ~ (v8 = v6) | ~ subrelstr(v5, % 21.75/3.77 | v2) | subnetstr(v5, v0, v2)) & ( ~ subnetstr(v5, v0, % 21.75/3.77 | v2) | (v8 = v6 & subrelstr(v5, v2))))))))) % 21.75/3.77 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 21.75/3.77 | (the_mapping(v0, v2) = v3) | ~ (the_carrier(v0) = v1) | ~ $i(v2) | % 21.75/3.77 | ~ $i(v0) | ~ net_str(v2, v0) | ~ one_sorted_str(v0) | ? [v4: $i] : % 21.75/3.77 | (the_carrier(v2) = v4 & $i(v4) & ! [v5: $i] : ! [v6: $i] : ! [v7: % 21.75/3.77 | $i] : ( ~ (the_carrier(v5) = v6) | ~ % 21.75/3.77 | (relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v7) | ~ % 21.75/3.77 | $i(v5) | ~ net_str(v5, v0) | ? [v8: $i] : (the_mapping(v0, v5) % 21.75/3.77 | = v8 & $i(v8) & ( ~ (v8 = v7) | ~ subrelstr(v5, v2) | % 21.75/3.77 | subnetstr(v5, v0, v2)) & ( ~ subnetstr(v5, v0, v2) | (v8 = v7 % 21.75/3.77 | & subrelstr(v5, v2))))))) % 21.75/3.77 | % 21.75/3.77 | ALPHA: (dt_u1_waybel_0) implies: % 21.75/3.77 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ net_str(v1, v0) % 21.75/3.77 | | ~ one_sorted_str(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 21.75/3.78 | (the_mapping(v0, v1) = v2 & the_carrier(v1) = v3 & the_carrier(v0) = % 21.75/3.78 | v4 & $i(v4) & $i(v3) & $i(v2) & quasi_total(v2, v3, v4) & % 21.75/3.78 | relation_of2_as_subset(v2, v3, v4) & function(v2))) % 21.75/3.78 | % 21.75/3.78 | ALPHA: (t60_yellow_0) implies: % 21.75/3.78 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ rel_str(v0) | ? [v1: $i] : % 21.75/3.78 | (the_carrier(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ % 21.75/3.78 | subrelstr(v2, v0) | ? [v3: $i] : (the_carrier(v2) = v3 & $i(v3) % 21.75/3.78 | & ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ % 21.75/3.78 | related(v2, v4, v5) | ~ element(v5, v3) | ~ element(v5, v1) % 21.75/3.78 | | ~ element(v4, v3) | ~ element(v4, v1) | related(v0, v4, % 21.75/3.78 | v5)))))) % 21.75/3.78 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 21.75/3.78 | ! [v5: $i] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | % 21.75/3.78 | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ related(v2, v4, v5) % 21.75/3.78 | | ~ rel_str(v0) | ~ subrelstr(v2, v0) | ~ element(v5, v3) | ~ % 21.75/3.78 | element(v5, v1) | ~ element(v4, v3) | ~ element(v4, v1) | % 21.75/3.78 | related(v0, v4, v5)) % 21.75/3.78 | % 21.75/3.78 | ALPHA: (function-axioms) implies: % 21.75/3.78 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 21.75/3.78 | (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 21.75/3.78 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.75/3.78 | (the_mapping(v3, v2) = v1) | ~ (the_mapping(v3, v2) = v0)) % 21.75/3.78 | % 21.75/3.78 | DELTA: instantiating (t20_yellow_6) with fresh symbols all_76_0, all_76_1, % 21.75/3.78 | all_76_2, all_76_3, all_76_4, all_76_5, all_76_6 gives: % 21.75/3.78 | (8) the_carrier(all_76_3) = all_76_2 & the_carrier(all_76_5) = all_76_4 & % 21.75/3.78 | $i(all_76_0) & $i(all_76_1) & $i(all_76_2) & $i(all_76_3) & % 21.75/3.78 | $i(all_76_4) & $i(all_76_5) & $i(all_76_6) & related(all_76_3, % 21.75/3.78 | all_76_1, all_76_0) & subnetstr(all_76_3, all_76_6, all_76_5) & % 21.75/3.78 | net_str(all_76_5, all_76_6) & one_sorted_str(all_76_6) & % 21.75/3.78 | element(all_76_0, all_76_2) & element(all_76_0, all_76_4) & % 21.75/3.78 | element(all_76_1, all_76_2) & element(all_76_1, all_76_4) & ~ % 21.75/3.78 | related(all_76_5, all_76_1, all_76_0) % 21.75/3.78 | % 21.75/3.78 | ALPHA: (8) implies: % 21.75/3.78 | (9) ~ related(all_76_5, all_76_1, all_76_0) % 21.75/3.78 | (10) element(all_76_1, all_76_4) % 21.75/3.78 | (11) element(all_76_1, all_76_2) % 21.75/3.78 | (12) element(all_76_0, all_76_4) % 21.75/3.78 | (13) element(all_76_0, all_76_2) % 21.75/3.78 | (14) one_sorted_str(all_76_6) % 21.75/3.78 | (15) net_str(all_76_5, all_76_6) % 21.75/3.78 | (16) subnetstr(all_76_3, all_76_6, all_76_5) % 21.75/3.78 | (17) related(all_76_3, all_76_1, all_76_0) % 21.75/3.78 | (18) $i(all_76_6) % 21.75/3.78 | (19) $i(all_76_5) % 21.75/3.78 | (20) $i(all_76_3) % 21.75/3.78 | (21) $i(all_76_1) % 21.75/3.78 | (22) $i(all_76_0) % 21.75/3.78 | (23) the_carrier(all_76_5) = all_76_4 % 21.75/3.78 | (24) the_carrier(all_76_3) = all_76_2 % 21.75/3.78 | % 21.75/3.78 | GROUND_INST: instantiating (1) with all_76_6, simplifying with (14), (18) % 21.75/3.78 | gives: % 21.75/3.79 | (25) ? [v0: $i] : (the_carrier(all_76_6) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 21.75/3.79 | $i(v1) | ~ net_str(v1, all_76_6) | ? [v2: $i] : ? [v3: $i] : % 21.75/3.79 | (the_mapping(all_76_6, v1) = v3 & the_carrier(v1) = v2 & $i(v3) & % 21.75/3.79 | $i(v2) & ! [v4: $i] : ( ~ $i(v4) | ~ net_str(v4, all_76_6) | % 21.75/3.79 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 21.75/3.79 | (the_mapping(all_76_6, v4) = v5 & the_carrier(v4) = v6 & % 21.75/3.79 | relation_dom_restr_as_relation_of(v2, v0, v3, v6) = v7 & % 21.75/3.79 | $i(v7) & $i(v6) & $i(v5) & ( ~ (v7 = v5) | ~ subrelstr(v4, % 21.75/3.79 | v1) | subnetstr(v4, all_76_6, v1)) & ( ~ subnetstr(v4, % 21.75/3.79 | all_76_6, v1) | (v7 = v5 & subrelstr(v4, v1)))))))) % 21.75/3.79 | % 21.75/3.79 | GROUND_INST: instantiating (existence_l1_waybel_0) with all_76_6, simplifying % 21.75/3.79 | with (14), (18) gives: % 21.75/3.79 | (26) ? [v0: $i] : ($i(v0) & net_str(v0, all_76_6)) % 21.75/3.79 | % 21.75/3.79 | GROUND_INST: instantiating (dt_l1_waybel_0) with all_76_6, all_76_5, % 21.75/3.79 | simplifying with (14), (15), (18), (19) gives: % 21.75/3.79 | (27) rel_str(all_76_5) % 21.75/3.79 | % 21.75/3.79 | GROUND_INST: instantiating (3) with all_76_6, all_76_5, simplifying with (14), % 21.75/3.79 | (15), (18), (19) gives: % 21.75/3.79 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 21.75/3.79 | all_76_5) = v0 & the_carrier(all_76_5) = v1 & % 21.75/3.79 | the_carrier(all_76_6) = v2 & $i(v2) & $i(v1) & $i(v0) & % 21.75/3.79 | quasi_total(v0, v1, v2) & relation_of2_as_subset(v0, v1, v2) & % 21.75/3.79 | function(v0)) % 21.75/3.79 | % 21.75/3.79 | GROUND_INST: instantiating (dt_m1_yellow_6) with all_76_6, all_76_5, all_76_3, % 21.75/3.79 | simplifying with (14), (15), (16), (18), (19), (20) gives: % 21.75/3.79 | (29) net_str(all_76_3, all_76_6) % 21.75/3.79 | % 21.75/3.79 | DELTA: instantiating (26) with fresh symbol all_86_0 gives: % 21.75/3.79 | (30) $i(all_86_0) & net_str(all_86_0, all_76_6) % 21.75/3.79 | % 21.75/3.79 | ALPHA: (30) implies: % 21.75/3.79 | (31) net_str(all_86_0, all_76_6) % 21.75/3.79 | (32) $i(all_86_0) % 21.75/3.79 | % 21.75/3.79 | DELTA: instantiating (28) with fresh symbols all_92_0, all_92_1, all_92_2 % 21.75/3.79 | gives: % 21.75/3.79 | (33) the_mapping(all_76_6, all_76_5) = all_92_2 & the_carrier(all_76_5) = % 21.75/3.79 | all_92_1 & the_carrier(all_76_6) = all_92_0 & $i(all_92_0) & % 21.75/3.79 | $i(all_92_1) & $i(all_92_2) & quasi_total(all_92_2, all_92_1, % 21.75/3.79 | all_92_0) & relation_of2_as_subset(all_92_2, all_92_1, all_92_0) & % 21.75/3.79 | function(all_92_2) % 21.75/3.79 | % 21.75/3.79 | ALPHA: (33) implies: % 21.75/3.79 | (34) the_carrier(all_76_6) = all_92_0 % 21.75/3.79 | (35) the_carrier(all_76_5) = all_92_1 % 21.75/3.79 | (36) the_mapping(all_76_6, all_76_5) = all_92_2 % 21.75/3.79 | % 21.75/3.79 | DELTA: instantiating (25) with fresh symbol all_97_0 gives: % 21.75/3.79 | (37) the_carrier(all_76_6) = all_97_0 & $i(all_97_0) & ! [v0: $i] : ( ~ % 21.75/3.79 | $i(v0) | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? [v2: $i] : % 21.75/3.79 | (the_mapping(all_76_6, v0) = v2 & the_carrier(v0) = v1 & $i(v2) & % 21.75/3.79 | $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ net_str(v3, all_76_6) | ? % 21.75/3.79 | [v4: $i] : ? [v5: $i] : ? [v6: $i] : (the_mapping(all_76_6, % 21.75/3.79 | v3) = v4 & the_carrier(v3) = v5 & % 21.75/3.79 | relation_dom_restr_as_relation_of(v1, all_97_0, v2, v5) = v6 & % 21.75/3.79 | $i(v6) & $i(v5) & $i(v4) & ( ~ (v6 = v4) | ~ subrelstr(v3, % 21.75/3.79 | v0) | subnetstr(v3, all_76_6, v0)) & ( ~ subnetstr(v3, % 21.75/3.80 | all_76_6, v0) | (v6 = v4 & subrelstr(v3, v0))))))) % 21.75/3.80 | % 21.75/3.80 | ALPHA: (37) implies: % 21.75/3.80 | (38) the_carrier(all_76_6) = all_97_0 % 21.75/3.80 | (39) ! [v0: $i] : ( ~ $i(v0) | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? % 21.75/3.80 | [v2: $i] : (the_mapping(all_76_6, v0) = v2 & the_carrier(v0) = v1 & % 21.75/3.80 | $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ net_str(v3, % 21.75/3.80 | all_76_6) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 21.75/3.80 | (the_mapping(all_76_6, v3) = v4 & the_carrier(v3) = v5 & % 21.75/3.80 | relation_dom_restr_as_relation_of(v1, all_97_0, v2, v5) = v6 & % 21.75/3.80 | $i(v6) & $i(v5) & $i(v4) & ( ~ (v6 = v4) | ~ subrelstr(v3, % 21.75/3.80 | v0) | subnetstr(v3, all_76_6, v0)) & ( ~ subnetstr(v3, % 21.75/3.80 | all_76_6, v0) | (v6 = v4 & subrelstr(v3, v0))))))) % 21.75/3.80 | % 21.75/3.80 | GROUND_INST: instantiating (39) with all_76_5, simplifying with (15), (19) % 21.75/3.80 | gives: % 21.75/3.80 | (40) ? [v0: $i] : ? [v1: $i] : (the_mapping(all_76_6, all_76_5) = v1 & % 21.75/3.80 | the_carrier(all_76_5) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ % 21.75/3.80 | $i(v2) | ~ net_str(v2, all_76_6) | ? [v3: $i] : ? [v4: $i] : ? % 21.75/3.80 | [v5: $i] : (the_mapping(all_76_6, v2) = v3 & the_carrier(v2) = v4 % 21.75/3.80 | & relation_dom_restr_as_relation_of(v0, all_97_0, v1, v4) = v5 & % 21.75/3.80 | $i(v5) & $i(v4) & $i(v3) & ( ~ (v5 = v3) | ~ subrelstr(v2, % 21.75/3.80 | all_76_5) | subnetstr(v2, all_76_6, all_76_5)) & ( ~ % 21.75/3.80 | subnetstr(v2, all_76_6, all_76_5) | (v5 = v3 & subrelstr(v2, % 21.75/3.80 | all_76_5)))))) % 21.75/3.80 | % 21.75/3.80 | DELTA: instantiating (40) with fresh symbols all_103_0, all_103_1 gives: % 22.17/3.80 | (41) the_mapping(all_76_6, all_76_5) = all_103_0 & the_carrier(all_76_5) = % 22.17/3.80 | all_103_1 & $i(all_103_0) & $i(all_103_1) & ! [v0: $i] : ( ~ $i(v0) | % 22.17/3.80 | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.17/3.80 | (the_mapping(all_76_6, v0) = v1 & the_carrier(v0) = v2 & % 22.17/3.80 | relation_dom_restr_as_relation_of(all_103_1, all_97_0, all_103_0, % 22.17/3.80 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.80 | subrelstr(v0, all_76_5) | subnetstr(v0, all_76_6, all_76_5)) & ( % 22.17/3.80 | ~ subnetstr(v0, all_76_6, all_76_5) | (v3 = v1 & subrelstr(v0, % 22.17/3.80 | all_76_5))))) % 22.17/3.80 | % 22.17/3.80 | ALPHA: (41) implies: % 22.17/3.80 | (42) the_carrier(all_76_5) = all_103_1 % 22.17/3.80 | (43) the_mapping(all_76_6, all_76_5) = all_103_0 % 22.17/3.80 | (44) ! [v0: $i] : ( ~ $i(v0) | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? % 22.17/3.80 | [v2: $i] : ? [v3: $i] : (the_mapping(all_76_6, v0) = v1 & % 22.17/3.80 | the_carrier(v0) = v2 & % 22.17/3.80 | relation_dom_restr_as_relation_of(all_103_1, all_97_0, all_103_0, % 22.17/3.80 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.80 | subrelstr(v0, all_76_5) | subnetstr(v0, all_76_6, all_76_5)) & ( % 22.17/3.80 | ~ subnetstr(v0, all_76_6, all_76_5) | (v3 = v1 & subrelstr(v0, % 22.17/3.80 | all_76_5))))) % 22.17/3.80 | % 22.17/3.80 | GROUND_INST: instantiating (44) with all_76_5, simplifying with (15), (19) % 22.17/3.80 | gives: % 22.17/3.81 | (45) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.81 | all_76_5) = v0 & the_carrier(all_76_5) = v1 & % 22.17/3.81 | relation_dom_restr_as_relation_of(all_103_1, all_97_0, all_103_0, % 22.17/3.81 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.81 | subrelstr(all_76_5, all_76_5) | subnetstr(all_76_5, all_76_6, % 22.17/3.81 | all_76_5)) & ( ~ subnetstr(all_76_5, all_76_6, all_76_5) | (v2 = % 22.17/3.81 | v0 & subrelstr(all_76_5, all_76_5)))) % 22.17/3.81 | % 22.17/3.81 | DELTA: instantiating (45) with fresh symbols all_106_0, all_106_1, all_106_2 % 22.17/3.81 | gives: % 22.17/3.81 | (46) the_mapping(all_76_6, all_76_5) = all_106_2 & the_carrier(all_76_5) = % 22.17/3.81 | all_106_1 & relation_dom_restr_as_relation_of(all_103_1, all_97_0, % 22.17/3.81 | all_103_0, all_106_1) = all_106_0 & $i(all_106_0) & $i(all_106_1) & % 22.17/3.81 | $i(all_106_2) & ( ~ (all_106_0 = all_106_2) | ~ subrelstr(all_76_5, % 22.17/3.81 | all_76_5) | subnetstr(all_76_5, all_76_6, all_76_5)) & ( ~ % 22.17/3.81 | subnetstr(all_76_5, all_76_6, all_76_5) | (all_106_0 = all_106_2 & % 22.17/3.81 | subrelstr(all_76_5, all_76_5))) % 22.17/3.81 | % 22.17/3.81 | ALPHA: (46) implies: % 22.17/3.81 | (47) the_carrier(all_76_5) = all_106_1 % 22.17/3.81 | (48) the_mapping(all_76_6, all_76_5) = all_106_2 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (6) with all_92_0, all_97_0, all_76_6, simplifying % 22.17/3.81 | with (34), (38) gives: % 22.17/3.81 | (49) all_97_0 = all_92_0 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (6) with all_76_4, all_106_1, all_76_5, simplifying % 22.17/3.81 | with (23), (47) gives: % 22.17/3.81 | (50) all_106_1 = all_76_4 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (6) with all_103_1, all_106_1, all_76_5, % 22.17/3.81 | simplifying with (42), (47) gives: % 22.17/3.81 | (51) all_106_1 = all_103_1 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (6) with all_92_1, all_106_1, all_76_5, simplifying % 22.17/3.81 | with (35), (47) gives: % 22.17/3.81 | (52) all_106_1 = all_92_1 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (7) with all_103_0, all_106_2, all_76_5, all_76_6, % 22.17/3.81 | simplifying with (43), (48) gives: % 22.17/3.81 | (53) all_106_2 = all_103_0 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (7) with all_92_2, all_106_2, all_76_5, all_76_6, % 22.17/3.81 | simplifying with (36), (48) gives: % 22.17/3.81 | (54) all_106_2 = all_92_2 % 22.17/3.81 | % 22.17/3.81 | COMBINE_EQS: (51), (52) imply: % 22.17/3.81 | (55) all_103_1 = all_92_1 % 22.17/3.81 | % 22.17/3.81 | COMBINE_EQS: (50), (51) imply: % 22.17/3.81 | (56) all_103_1 = all_76_4 % 22.17/3.81 | % 22.17/3.81 | COMBINE_EQS: (53), (54) imply: % 22.17/3.81 | (57) all_103_0 = all_92_2 % 22.17/3.81 | % 22.17/3.81 | SIMP: (57) implies: % 22.17/3.81 | (58) all_103_0 = all_92_2 % 22.17/3.81 | % 22.17/3.81 | COMBINE_EQS: (55), (56) imply: % 22.17/3.81 | (59) all_92_1 = all_76_4 % 22.17/3.81 | % 22.17/3.81 | SIMP: (59) implies: % 22.17/3.81 | (60) all_92_1 = all_76_4 % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (3) with all_76_6, all_76_3, simplifying with (14), % 22.17/3.81 | (18), (20), (29) gives: % 22.17/3.81 | (61) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.81 | all_76_3) = v0 & the_carrier(all_76_3) = v1 & % 22.17/3.81 | the_carrier(all_76_6) = v2 & $i(v2) & $i(v1) & $i(v0) & % 22.17/3.81 | quasi_total(v0, v1, v2) & relation_of2_as_subset(v0, v1, v2) & % 22.17/3.81 | function(v0)) % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (44) with all_76_3, simplifying with (20), (29) % 22.17/3.81 | gives: % 22.17/3.81 | (62) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.81 | all_76_3) = v0 & the_carrier(all_76_3) = v1 & % 22.17/3.81 | relation_dom_restr_as_relation_of(all_103_1, all_97_0, all_103_0, % 22.17/3.81 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.81 | subrelstr(all_76_3, all_76_5) | subnetstr(all_76_3, all_76_6, % 22.17/3.81 | all_76_5)) & ( ~ subnetstr(all_76_3, all_76_6, all_76_5) | (v2 = % 22.17/3.81 | v0 & subrelstr(all_76_3, all_76_5)))) % 22.17/3.81 | % 22.17/3.81 | GROUND_INST: instantiating (39) with all_76_3, simplifying with (20), (29) % 22.17/3.81 | gives: % 22.17/3.81 | (63) ? [v0: $i] : ? [v1: $i] : (the_mapping(all_76_6, all_76_3) = v1 & % 22.17/3.81 | the_carrier(all_76_3) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ % 22.17/3.81 | $i(v2) | ~ net_str(v2, all_76_6) | ? [v3: $i] : ? [v4: $i] : ? % 22.17/3.81 | [v5: $i] : (the_mapping(all_76_6, v2) = v3 & the_carrier(v2) = v4 % 22.17/3.81 | & relation_dom_restr_as_relation_of(v0, all_97_0, v1, v4) = v5 & % 22.17/3.81 | $i(v5) & $i(v4) & $i(v3) & ( ~ (v5 = v3) | ~ subrelstr(v2, % 22.17/3.81 | all_76_3) | subnetstr(v2, all_76_6, all_76_3)) & ( ~ % 22.17/3.81 | subnetstr(v2, all_76_6, all_76_3) | (v5 = v3 & subrelstr(v2, % 22.17/3.81 | all_76_3)))))) % 22.17/3.81 | % 22.17/3.82 | GROUND_INST: instantiating (39) with all_86_0, simplifying with (31), (32) % 22.17/3.82 | gives: % 22.17/3.82 | (64) ? [v0: $i] : ? [v1: $i] : (the_mapping(all_76_6, all_86_0) = v1 & % 22.17/3.82 | the_carrier(all_86_0) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ % 22.17/3.82 | $i(v2) | ~ net_str(v2, all_76_6) | ? [v3: $i] : ? [v4: $i] : ? % 22.17/3.82 | [v5: $i] : (the_mapping(all_76_6, v2) = v3 & the_carrier(v2) = v4 % 22.17/3.82 | & relation_dom_restr_as_relation_of(v0, all_97_0, v1, v4) = v5 & % 22.17/3.82 | $i(v5) & $i(v4) & $i(v3) & ( ~ (v5 = v3) | ~ subrelstr(v2, % 22.17/3.82 | all_86_0) | subnetstr(v2, all_76_6, all_86_0)) & ( ~ % 22.17/3.82 | subnetstr(v2, all_76_6, all_86_0) | (v5 = v3 & subrelstr(v2, % 22.17/3.82 | all_86_0)))))) % 22.17/3.82 | % 22.17/3.82 | GROUND_INST: instantiating (4) with all_76_5, simplifying with (19), (27) % 22.17/3.82 | gives: % 22.17/3.82 | (65) ? [v0: $i] : (the_carrier(all_76_5) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 22.17/3.82 | $i(v1) | ~ subrelstr(v1, all_76_5) | ? [v2: $i] : % 22.17/3.82 | (the_carrier(v1) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( ~ % 22.17/3.82 | $i(v4) | ~ $i(v3) | ~ related(v1, v3, v4) | ~ element(v4, % 22.17/3.82 | v2) | ~ element(v4, v0) | ~ element(v3, v2) | ~ % 22.17/3.82 | element(v3, v0) | related(all_76_5, v3, v4))))) % 22.17/3.82 | % 22.17/3.82 | GROUND_INST: instantiating (2) with all_76_6, all_92_0, all_76_5, all_92_2, % 22.17/3.82 | simplifying with (14), (15), (18), (19), (34), (36) gives: % 22.17/3.82 | (66) ? [v0: $i] : (the_carrier(all_76_5) = v0 & $i(v0) & ! [v1: $i] : ! % 22.17/3.82 | [v2: $i] : ! [v3: $i] : ( ~ (the_carrier(v1) = v2) | ~ % 22.17/3.82 | (relation_dom_restr_as_relation_of(v0, all_92_0, all_92_2, v2) = % 22.17/3.82 | v3) | ~ $i(v1) | ~ net_str(v1, all_76_6) | ? [v4: $i] : % 22.17/3.82 | (the_mapping(all_76_6, v1) = v4 & $i(v4) & ( ~ (v4 = v3) | ~ % 22.17/3.82 | subrelstr(v1, all_76_5) | subnetstr(v1, all_76_6, all_76_5)) & % 22.17/3.82 | ( ~ subnetstr(v1, all_76_6, all_76_5) | (v4 = v3 & subrelstr(v1, % 22.17/3.82 | all_76_5)))))) % 22.17/3.82 | % 22.17/3.82 | DELTA: instantiating (61) with fresh symbols all_134_0, all_134_1, all_134_2 % 22.17/3.82 | gives: % 22.17/3.82 | (67) the_mapping(all_76_6, all_76_3) = all_134_2 & the_carrier(all_76_3) = % 22.17/3.82 | all_134_1 & the_carrier(all_76_6) = all_134_0 & $i(all_134_0) & % 22.17/3.82 | $i(all_134_1) & $i(all_134_2) & quasi_total(all_134_2, all_134_1, % 22.17/3.82 | all_134_0) & relation_of2_as_subset(all_134_2, all_134_1, all_134_0) % 22.17/3.82 | & function(all_134_2) % 22.17/3.82 | % 22.17/3.82 | ALPHA: (67) implies: % 22.17/3.82 | (68) the_carrier(all_76_3) = all_134_1 % 22.17/3.82 | % 22.17/3.82 | DELTA: instantiating (62) with fresh symbols all_141_0, all_141_1, all_141_2 % 22.17/3.82 | gives: % 22.17/3.82 | (69) the_mapping(all_76_6, all_76_3) = all_141_2 & the_carrier(all_76_3) = % 22.17/3.82 | all_141_1 & relation_dom_restr_as_relation_of(all_103_1, all_97_0, % 22.17/3.82 | all_103_0, all_141_1) = all_141_0 & $i(all_141_0) & $i(all_141_1) & % 22.17/3.82 | $i(all_141_2) & ( ~ (all_141_0 = all_141_2) | ~ subrelstr(all_76_3, % 22.17/3.82 | all_76_5) | subnetstr(all_76_3, all_76_6, all_76_5)) & ( ~ % 22.17/3.82 | subnetstr(all_76_3, all_76_6, all_76_5) | (all_141_0 = all_141_2 & % 22.17/3.82 | subrelstr(all_76_3, all_76_5))) % 22.17/3.82 | % 22.17/3.82 | ALPHA: (69) implies: % 22.17/3.82 | (70) the_carrier(all_76_3) = all_141_1 % 22.17/3.82 | (71) ~ subnetstr(all_76_3, all_76_6, all_76_5) | (all_141_0 = all_141_2 & % 22.17/3.82 | subrelstr(all_76_3, all_76_5)) % 22.17/3.82 | % 22.17/3.82 | DELTA: instantiating (65) with fresh symbol all_143_0 gives: % 22.17/3.82 | (72) the_carrier(all_76_5) = all_143_0 & $i(all_143_0) & ! [v0: $i] : ( ~ % 22.17/3.82 | $i(v0) | ~ subrelstr(v0, all_76_5) | ? [v1: $i] : (the_carrier(v0) % 22.17/3.82 | = v1 & $i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 22.17/3.82 | | ~ related(v0, v2, v3) | ~ element(v3, v1) | ~ element(v3, % 22.17/3.82 | all_143_0) | ~ element(v2, v1) | ~ element(v2, all_143_0) | % 22.17/3.82 | related(all_76_5, v2, v3)))) % 22.17/3.82 | % 22.17/3.82 | ALPHA: (72) implies: % 22.17/3.82 | (73) the_carrier(all_76_5) = all_143_0 % 22.17/3.82 | % 22.17/3.82 | DELTA: instantiating (66) with fresh symbol all_146_0 gives: % 22.17/3.82 | (74) the_carrier(all_76_5) = all_146_0 & $i(all_146_0) & ! [v0: $i] : ! % 22.17/3.82 | [v1: $i] : ! [v2: $i] : ( ~ (the_carrier(v0) = v1) | ~ % 22.17/3.82 | (relation_dom_restr_as_relation_of(all_146_0, all_92_0, all_92_2, % 22.17/3.82 | v1) = v2) | ~ $i(v0) | ~ net_str(v0, all_76_6) | ? [v3: $i] : % 22.17/3.82 | (the_mapping(all_76_6, v0) = v3 & $i(v3) & ( ~ (v3 = v2) | ~ % 22.17/3.82 | subrelstr(v0, all_76_5) | subnetstr(v0, all_76_6, all_76_5)) & ( % 22.17/3.82 | ~ subnetstr(v0, all_76_6, all_76_5) | (v3 = v2 & subrelstr(v0, % 22.17/3.82 | all_76_5))))) % 22.17/3.82 | % 22.17/3.82 | ALPHA: (74) implies: % 22.17/3.82 | (75) the_carrier(all_76_5) = all_146_0 % 22.17/3.82 | % 22.17/3.82 | DELTA: instantiating (63) with fresh symbols all_152_0, all_152_1 gives: % 22.17/3.82 | (76) the_mapping(all_76_6, all_76_3) = all_152_0 & the_carrier(all_76_3) = % 22.17/3.82 | all_152_1 & $i(all_152_0) & $i(all_152_1) & ! [v0: $i] : ( ~ $i(v0) | % 22.17/3.82 | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.17/3.82 | (the_mapping(all_76_6, v0) = v1 & the_carrier(v0) = v2 & % 22.17/3.82 | relation_dom_restr_as_relation_of(all_152_1, all_97_0, all_152_0, % 22.17/3.82 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.82 | subrelstr(v0, all_76_3) | subnetstr(v0, all_76_6, all_76_3)) & ( % 22.17/3.82 | ~ subnetstr(v0, all_76_6, all_76_3) | (v3 = v1 & subrelstr(v0, % 22.17/3.82 | all_76_3))))) % 22.17/3.82 | % 22.17/3.82 | ALPHA: (76) implies: % 22.17/3.83 | (77) the_carrier(all_76_3) = all_152_1 % 22.17/3.83 | (78) ! [v0: $i] : ( ~ $i(v0) | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? % 22.17/3.83 | [v2: $i] : ? [v3: $i] : (the_mapping(all_76_6, v0) = v1 & % 22.17/3.83 | the_carrier(v0) = v2 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_152_1, all_97_0, all_152_0, % 22.17/3.83 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.83 | subrelstr(v0, all_76_3) | subnetstr(v0, all_76_6, all_76_3)) & ( % 22.17/3.83 | ~ subnetstr(v0, all_76_6, all_76_3) | (v3 = v1 & subrelstr(v0, % 22.17/3.83 | all_76_3))))) % 22.17/3.83 | % 22.17/3.83 | GROUND_INST: instantiating (78) with all_76_5, simplifying with (15), (19) % 22.17/3.83 | gives: % 22.17/3.83 | (79) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.83 | all_76_5) = v0 & the_carrier(all_76_5) = v1 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_152_1, all_97_0, all_152_0, % 22.17/3.83 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.83 | subrelstr(all_76_5, all_76_3) | subnetstr(all_76_5, all_76_6, % 22.17/3.83 | all_76_3)) & ( ~ subnetstr(all_76_5, all_76_6, all_76_3) | (v2 = % 22.17/3.83 | v0 & subrelstr(all_76_5, all_76_3)))) % 22.17/3.83 | % 22.17/3.83 | GROUND_INST: instantiating (78) with all_76_3, simplifying with (20), (29) % 22.17/3.83 | gives: % 22.17/3.83 | (80) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.83 | all_76_3) = v0 & the_carrier(all_76_3) = v1 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_152_1, all_97_0, all_152_0, % 22.17/3.83 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.83 | subrelstr(all_76_3, all_76_3) | subnetstr(all_76_3, all_76_6, % 22.17/3.83 | all_76_3)) & ( ~ subnetstr(all_76_3, all_76_6, all_76_3) | (v2 = % 22.17/3.83 | v0 & subrelstr(all_76_3, all_76_3)))) % 22.17/3.83 | % 22.17/3.83 | DELTA: instantiating (64) with fresh symbols all_155_0, all_155_1 gives: % 22.17/3.83 | (81) the_mapping(all_76_6, all_86_0) = all_155_0 & the_carrier(all_86_0) = % 22.17/3.83 | all_155_1 & $i(all_155_0) & $i(all_155_1) & ! [v0: $i] : ( ~ $i(v0) | % 22.17/3.83 | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.17/3.83 | (the_mapping(all_76_6, v0) = v1 & the_carrier(v0) = v2 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_155_1, all_97_0, all_155_0, % 22.17/3.83 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.83 | subrelstr(v0, all_86_0) | subnetstr(v0, all_76_6, all_86_0)) & ( % 22.17/3.83 | ~ subnetstr(v0, all_76_6, all_86_0) | (v3 = v1 & subrelstr(v0, % 22.17/3.83 | all_86_0))))) % 22.17/3.83 | % 22.17/3.83 | ALPHA: (81) implies: % 22.17/3.83 | (82) ! [v0: $i] : ( ~ $i(v0) | ~ net_str(v0, all_76_6) | ? [v1: $i] : ? % 22.17/3.83 | [v2: $i] : ? [v3: $i] : (the_mapping(all_76_6, v0) = v1 & % 22.17/3.83 | the_carrier(v0) = v2 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_155_1, all_97_0, all_155_0, % 22.17/3.83 | v2) = v3 & $i(v3) & $i(v2) & $i(v1) & ( ~ (v3 = v1) | ~ % 22.17/3.83 | subrelstr(v0, all_86_0) | subnetstr(v0, all_76_6, all_86_0)) & ( % 22.17/3.83 | ~ subnetstr(v0, all_76_6, all_86_0) | (v3 = v1 & subrelstr(v0, % 22.17/3.83 | all_86_0))))) % 22.17/3.83 | % 22.17/3.83 | GROUND_INST: instantiating (82) with all_76_5, simplifying with (15), (19) % 22.17/3.83 | gives: % 22.17/3.83 | (83) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.83 | all_76_5) = v0 & the_carrier(all_76_5) = v1 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_155_1, all_97_0, all_155_0, % 22.17/3.83 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.83 | subrelstr(all_76_5, all_86_0) | subnetstr(all_76_5, all_76_6, % 22.17/3.83 | all_86_0)) & ( ~ subnetstr(all_76_5, all_76_6, all_86_0) | (v2 = % 22.17/3.83 | v0 & subrelstr(all_76_5, all_86_0)))) % 22.17/3.83 | % 22.17/3.83 | GROUND_INST: instantiating (82) with all_76_3, simplifying with (20), (29) % 22.17/3.83 | gives: % 22.17/3.83 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (the_mapping(all_76_6, % 22.17/3.83 | all_76_3) = v0 & the_carrier(all_76_3) = v1 & % 22.17/3.83 | relation_dom_restr_as_relation_of(all_155_1, all_97_0, all_155_0, % 22.17/3.83 | v1) = v2 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 = v0) | ~ % 22.17/3.83 | subrelstr(all_76_3, all_86_0) | subnetstr(all_76_3, all_76_6, % 22.17/3.83 | all_86_0)) & ( ~ subnetstr(all_76_3, all_76_6, all_86_0) | (v2 = % 22.17/3.83 | v0 & subrelstr(all_76_3, all_86_0)))) % 22.17/3.83 | % 22.17/3.83 | DELTA: instantiating (80) with fresh symbols all_165_0, all_165_1, all_165_2 % 22.17/3.83 | gives: % 22.17/3.83 | (85) the_mapping(all_76_6, all_76_3) = all_165_2 & the_carrier(all_76_3) = % 22.17/3.83 | all_165_1 & relation_dom_restr_as_relation_of(all_152_1, all_97_0, % 22.17/3.83 | all_152_0, all_165_1) = all_165_0 & $i(all_165_0) & $i(all_165_1) & % 22.17/3.83 | $i(all_165_2) & ( ~ (all_165_0 = all_165_2) | ~ subrelstr(all_76_3, % 22.17/3.83 | all_76_3) | subnetstr(all_76_3, all_76_6, all_76_3)) & ( ~ % 22.17/3.83 | subnetstr(all_76_3, all_76_6, all_76_3) | (all_165_0 = all_165_2 & % 22.17/3.83 | subrelstr(all_76_3, all_76_3))) % 22.17/3.83 | % 22.17/3.83 | ALPHA: (85) implies: % 22.17/3.83 | (86) the_carrier(all_76_3) = all_165_1 % 22.17/3.83 | % 22.17/3.83 | DELTA: instantiating (79) with fresh symbols all_167_0, all_167_1, all_167_2 % 22.17/3.83 | gives: % 22.17/3.83 | (87) the_mapping(all_76_6, all_76_5) = all_167_2 & the_carrier(all_76_5) = % 22.17/3.83 | all_167_1 & relation_dom_restr_as_relation_of(all_152_1, all_97_0, % 22.17/3.83 | all_152_0, all_167_1) = all_167_0 & $i(all_167_0) & $i(all_167_1) & % 22.17/3.83 | $i(all_167_2) & ( ~ (all_167_0 = all_167_2) | ~ subrelstr(all_76_5, % 22.17/3.83 | all_76_3) | subnetstr(all_76_5, all_76_6, all_76_3)) & ( ~ % 22.17/3.83 | subnetstr(all_76_5, all_76_6, all_76_3) | (all_167_0 = all_167_2 & % 22.17/3.83 | subrelstr(all_76_5, all_76_3))) % 22.17/3.83 | % 22.17/3.83 | ALPHA: (87) implies: % 22.17/3.83 | (88) the_carrier(all_76_5) = all_167_1 % 22.17/3.83 | % 22.17/3.83 | DELTA: instantiating (84) with fresh symbols all_171_0, all_171_1, all_171_2 % 22.17/3.83 | gives: % 22.17/3.83 | (89) the_mapping(all_76_6, all_76_3) = all_171_2 & the_carrier(all_76_3) = % 22.17/3.83 | all_171_1 & relation_dom_restr_as_relation_of(all_155_1, all_97_0, % 22.17/3.83 | all_155_0, all_171_1) = all_171_0 & $i(all_171_0) & $i(all_171_1) & % 22.17/3.83 | $i(all_171_2) & ( ~ (all_171_0 = all_171_2) | ~ subrelstr(all_76_3, % 22.17/3.83 | all_86_0) | subnetstr(all_76_3, all_76_6, all_86_0)) & ( ~ % 22.17/3.83 | subnetstr(all_76_3, all_76_6, all_86_0) | (all_171_0 = all_171_2 & % 22.17/3.83 | subrelstr(all_76_3, all_86_0))) % 22.17/3.83 | % 22.17/3.83 | ALPHA: (89) implies: % 22.17/3.83 | (90) the_carrier(all_76_3) = all_171_1 % 22.17/3.83 | % 22.17/3.83 | DELTA: instantiating (83) with fresh symbols all_173_0, all_173_1, all_173_2 % 22.17/3.83 | gives: % 22.17/3.84 | (91) the_mapping(all_76_6, all_76_5) = all_173_2 & the_carrier(all_76_5) = % 22.17/3.84 | all_173_1 & relation_dom_restr_as_relation_of(all_155_1, all_97_0, % 22.17/3.84 | all_155_0, all_173_1) = all_173_0 & $i(all_173_0) & $i(all_173_1) & % 22.17/3.84 | $i(all_173_2) & ( ~ (all_173_0 = all_173_2) | ~ subrelstr(all_76_5, % 22.17/3.84 | all_86_0) | subnetstr(all_76_5, all_76_6, all_86_0)) & ( ~ % 22.17/3.84 | subnetstr(all_76_5, all_76_6, all_86_0) | (all_173_0 = all_173_2 & % 22.17/3.84 | subrelstr(all_76_5, all_86_0))) % 22.17/3.84 | % 22.17/3.84 | ALPHA: (91) implies: % 22.17/3.84 | (92) the_carrier(all_76_5) = all_173_1 % 22.17/3.84 | % 22.17/3.84 | BETA: splitting (71) gives: % 22.17/3.84 | % 22.17/3.84 | Case 1: % 22.17/3.84 | | % 22.17/3.84 | | (93) ~ subnetstr(all_76_3, all_76_6, all_76_5) % 22.17/3.84 | | % 22.17/3.84 | | PRED_UNIFY: (16), (93) imply: % 22.17/3.84 | | (94) $false % 22.17/3.84 | | % 22.17/3.84 | | CLOSE: (94) is inconsistent. % 22.17/3.84 | | % 22.17/3.84 | Case 2: % 22.17/3.84 | | % 22.17/3.84 | | (95) all_141_0 = all_141_2 & subrelstr(all_76_3, all_76_5) % 22.17/3.84 | | % 22.62/3.84 | | ALPHA: (95) implies: % 22.62/3.84 | | (96) subrelstr(all_76_3, all_76_5) % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_76_4, all_146_0, all_76_5, % 22.62/3.84 | | simplifying with (23), (75) gives: % 22.62/3.84 | | (97) all_146_0 = all_76_4 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_146_0, all_167_1, all_76_5, % 22.62/3.84 | | simplifying with (75), (88) gives: % 22.62/3.84 | | (98) all_167_1 = all_146_0 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_167_1, all_173_1, all_76_5, % 22.62/3.84 | | simplifying with (88), (92) gives: % 22.62/3.84 | | (99) all_173_1 = all_167_1 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_143_0, all_173_1, all_76_5, % 22.62/3.84 | | simplifying with (73), (92) gives: % 22.62/3.84 | | (100) all_173_1 = all_143_0 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_76_2, all_141_1, all_76_3, % 22.62/3.84 | | simplifying with (24), (70) gives: % 22.62/3.84 | | (101) all_141_1 = all_76_2 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_141_1, all_165_1, all_76_3, % 22.62/3.84 | | simplifying with (70), (86) gives: % 22.62/3.84 | | (102) all_165_1 = all_141_1 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_134_1, all_165_1, all_76_3, % 22.62/3.84 | | simplifying with (68), (86) gives: % 22.62/3.84 | | (103) all_165_1 = all_134_1 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_165_1, all_171_1, all_76_3, % 22.62/3.84 | | simplifying with (86), (90) gives: % 22.62/3.84 | | (104) all_171_1 = all_165_1 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (6) with all_152_1, all_171_1, all_76_3, % 22.62/3.84 | | simplifying with (77), (90) gives: % 22.62/3.84 | | (105) all_171_1 = all_152_1 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (99), (100) imply: % 22.62/3.84 | | (106) all_167_1 = all_143_0 % 22.62/3.84 | | % 22.62/3.84 | | SIMP: (106) implies: % 22.62/3.84 | | (107) all_167_1 = all_143_0 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (104), (105) imply: % 22.62/3.84 | | (108) all_165_1 = all_152_1 % 22.62/3.84 | | % 22.62/3.84 | | SIMP: (108) implies: % 22.62/3.84 | | (109) all_165_1 = all_152_1 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (98), (107) imply: % 22.62/3.84 | | (110) all_146_0 = all_143_0 % 22.62/3.84 | | % 22.62/3.84 | | SIMP: (110) implies: % 22.62/3.84 | | (111) all_146_0 = all_143_0 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (102), (109) imply: % 22.62/3.84 | | (112) all_152_1 = all_141_1 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (103), (109) imply: % 22.62/3.84 | | (113) all_152_1 = all_134_1 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (112), (113) imply: % 22.62/3.84 | | (114) all_141_1 = all_134_1 % 22.62/3.84 | | % 22.62/3.84 | | SIMP: (114) implies: % 22.62/3.84 | | (115) all_141_1 = all_134_1 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (97), (111) imply: % 22.62/3.84 | | (116) all_143_0 = all_76_4 % 22.62/3.84 | | % 22.62/3.84 | | COMBINE_EQS: (101), (115) imply: % 22.62/3.84 | | (117) all_134_1 = all_76_2 % 22.62/3.84 | | % 22.62/3.84 | | GROUND_INST: instantiating (5) with all_76_5, all_76_4, all_76_3, all_76_2, % 22.62/3.84 | | all_76_1, all_76_0, simplifying with (9), (10), (11), (12), % 22.62/3.84 | | (13), (17), (19), (20), (21), (22), (23), (24), (27), (96) % 22.62/3.84 | | gives: % 22.62/3.84 | | (118) $false % 22.62/3.84 | | % 22.62/3.84 | | CLOSE: (118) is inconsistent. % 22.62/3.84 | | % 22.62/3.84 | End of split % 22.62/3.84 | % 22.62/3.84 End of proof % 22.62/3.84 % SZS output end Proof for theBenchmark % 22.62/3.84 % 22.62/3.84 3224ms %------------------------------------------------------------------------------