%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 06:24:38 EDT 2023 % Result : Theorem 18.43s 3.28s % Output : Proof 25.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Aug 24 05:32:21 EDT 2023 % 0.13/0.34 % 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/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 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 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 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 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 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 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 % 2.76/1.16 Prover 1: Preprocessing ... % 2.76/1.16 Prover 4: Preprocessing ... % 3.44/1.21 Prover 3: Preprocessing ... % 3.44/1.21 Prover 2: Preprocessing ... % 3.44/1.21 Prover 5: Preprocessing ... % 3.44/1.21 Prover 6: Preprocessing ... % 3.44/1.21 Prover 0: Preprocessing ... % 6.54/1.67 Prover 5: Proving ... % 6.54/1.68 Prover 1: Warning: ignoring some quantifiers % 7.14/1.71 Prover 1: Constructing countermodel ... % 7.14/1.74 Prover 2: Proving ... % 7.62/1.84 Prover 6: Proving ... % 7.62/1.85 Prover 3: Warning: ignoring some quantifiers % 8.27/1.87 Prover 3: Constructing countermodel ... % 12.81/2.53 Prover 4: Warning: ignoring some quantifiers % 12.81/2.56 Prover 4: Constructing countermodel ... % 13.42/2.61 Prover 0: Proving ... % 18.43/3.28 Prover 5: proved (2637ms) % 18.43/3.28 % 18.43/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.43/3.28 % 18.43/3.28 Prover 0: stopped % 18.43/3.28 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.43/3.30 Prover 2: stopped % 18.43/3.30 Prover 6: stopped % 18.43/3.31 Prover 3: stopped % 18.43/3.31 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.43/3.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.43/3.31 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.43/3.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 18.43/3.34 Prover 7: Preprocessing ... % 18.43/3.36 Prover 8: Preprocessing ... % 18.43/3.38 Prover 13: Preprocessing ... % 18.43/3.38 Prover 10: Preprocessing ... % 18.43/3.39 Prover 11: Preprocessing ... % 18.43/3.40 Prover 7: Warning: ignoring some quantifiers % 18.43/3.42 Prover 7: Constructing countermodel ... % 18.84/3.45 Prover 8: Warning: ignoring some quantifiers % 18.84/3.45 Prover 8: Constructing countermodel ... % 18.84/3.45 Prover 10: Warning: ignoring some quantifiers % 19.90/3.48 Prover 10: Constructing countermodel ... % 19.90/3.48 Prover 13: Warning: ignoring some quantifiers % 19.90/3.49 Prover 13: Constructing countermodel ... % 23.39/3.98 Prover 11: Warning: ignoring some quantifiers % 23.39/4.01 Prover 11: Constructing countermodel ... % 23.39/4.08 Prover 10: Found proof (size 138) % 23.39/4.08 Prover 10: proved (775ms) % 23.39/4.08 Prover 7: stopped % 23.39/4.08 Prover 13: stopped % 23.39/4.08 Prover 1: stopped % 23.39/4.08 Prover 4: stopped % 23.39/4.08 Prover 8: stopped % 23.39/4.09 Prover 11: stopped % 23.39/4.09 % 23.39/4.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.39/4.09 % 23.39/4.10 % SZS output start Proof for theBenchmark % 23.39/4.10 Assumptions after simplification: % 23.39/4.10 --------------------------------- % 23.39/4.10 % 23.39/4.10 (d11_filter_2) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 24.30/4.13 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : % 24.30/4.13 (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 24.30/4.13 (v5 = v4 | ~ (k19_filter_2(v0, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~ % 24.30/4.13 m2_filter_2(v5, v0) | ~ r1_tarski(v3, v5) | ~ m1_subset_1(v3, v2) | % 24.30/4.13 v1_xboole_0(v3) | ? [v6: $i] : ($i(v6) & m2_filter_2(v6, v0) & % 24.30/4.13 r1_tarski(v3, v6) & ~ r1_tarski(v5, v6))) & ! [v3: $i] : ! [v4: $i] % 24.30/4.13 : ! [v5: $i] : ( ~ (k19_filter_2(v0, v3) = v4) | ~ $i(v5) | ~ $i(v4) | % 24.30/4.13 ~ $i(v3) | ~ m2_filter_2(v5, v0) | ~ m2_filter_2(v4, v0) | ~ % 24.30/4.13 r1_tarski(v3, v5) | ~ m1_subset_1(v3, v2) | r1_tarski(v4, v5) | % 24.30/4.13 v1_xboole_0(v3)) & ! [v3: $i] : ! [v4: $i] : ( ~ (k19_filter_2(v0, v3) % 24.30/4.13 = v4) | ~ $i(v4) | ~ $i(v3) | ~ m2_filter_2(v4, v0) | ~ % 24.30/4.13 m1_subset_1(v3, v2) | r1_tarski(v3, v4) | v1_xboole_0(v3)))) % 24.30/4.13 % 24.30/4.13 (dt_k19_filter_2) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k19_filter_2(v0, v1) = v2) | ~ % 24.30/4.13 $i(v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 24.30/4.13 m2_filter_2(v2, v0) | v1_xboole_0(v1) | v3_struct_0(v0) | ? [v3: $i] : ? % 24.30/4.13 [v4: $i] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & % 24.30/4.13 ~ m1_subset_1(v1, v4))) % 24.30/4.13 % 24.30/4.13 (dt_l2_lattices) % 24.30/4.13 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0)) % 24.30/4.13 % 24.30/4.13 (dt_l3_lattices) % 24.30/4.13 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i] % 24.30/4.13 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0)) % 24.30/4.13 % 24.30/4.13 (dt_m2_filter_2) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1, v0) | % 24.30/4.13 ~ v1_xboole_0(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 24.30/4.13 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 24.30/4.13 m2_filter_2(v1, v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | % 24.30/4.13 m2_lattice4(v1, v0) | v3_struct_0(v0)) % 24.30/4.13 % 24.30/4.13 (dt_m2_lattice4) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 24.30/4.13 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : % 24.30/4.13 (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ % 24.30/4.13 m2_lattice4(v3, v0) | m1_subset_1(v3, v2)))) % 24.30/4.13 % 24.30/4.13 (fc1_struct_0) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 24.30/4.13 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 24.30/4.13 % 24.30/4.13 (fc1_subset_1) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ~ % 24.30/4.13 v1_xboole_0(v1)) % 24.30/4.13 % 24.30/4.13 (rc1_subset_1) % 24.30/4.13 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | % 24.30/4.13 v1_xboole_0(v0) | ? [v2: $i] : ($i(v2) & m1_subset_1(v2, v1) & ~ % 24.30/4.13 v1_xboole_0(v2))) % 24.30/4.13 % 24.30/4.13 (rc5_struct_0) % 24.30/4.14 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 24.30/4.14 l1_struct_0(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 24.30/4.14 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & m1_subset_1(v3, v2) & ~ % 24.30/4.14 v1_xboole_0(v3))) % 24.30/4.14 % 24.30/4.14 (t1_xboole_1) % 24.30/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 24.30/4.14 ~ r1_tarski(v1, v2) | ~ r1_tarski(v0, v1) | r1_tarski(v0, v2)) % 24.30/4.14 % 24.30/4.14 (t2_subset) % 24.30/4.14 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) | % 24.30/4.14 r2_hidden(v0, v1) | v1_xboole_0(v1)) % 24.30/4.14 % 24.30/4.14 (t39_filter_2) % 24.30/4.14 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 24.30/4.14 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 24.30/4.14 (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & k19_filter_2(v0, v6) = v7 & % 24.30/4.14 k19_filter_2(v0, v4) = v5 & k19_filter_2(v0, v3) = v4 & $i(v8) & $i(v7) & % 24.30/4.14 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 24.30/4.14 m1_subset_1(v8, v2) & m1_subset_1(v6, v2) & m1_subset_1(v3, v2) & % 24.30/4.14 l3_lattices(v0) & v10_lattices(v0) & ~ v1_xboole_0(v8) & ~ v1_xboole_0(v6) % 24.30/4.14 & ~ v1_xboole_0(v3) & ~ v3_struct_0(v0) & ( ~ r1_tarski(v5, v4) | % 24.30/4.14 (k19_filter_2(v0, v8) = v9 & $i(v9) & r1_tarski(v6, v8) & ~ r1_tarski(v7, % 24.30/4.14 v9)))) % 24.30/4.14 % 24.30/4.14 (t7_boole) % 24.30/4.14 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, v1) | ~ % 24.30/4.14 v1_xboole_0(v1)) % 24.30/4.14 % 24.30/4.14 (function-axioms) % 24.30/4.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.30/4.14 (k19_filter_2(v3, v2) = v1) | ~ (k19_filter_2(v3, v2) = v0)) & ! [v0: $i] % 24.30/4.14 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ % 24.30/4.14 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 24.30/4.14 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 24.30/4.14 % 24.30/4.14 Further assumptions not needed in the proof: % 24.30/4.14 -------------------------------------------- % 24.30/4.14 antisymmetry_r2_hidden, cc1_funct_1, cc1_lattices, cc2_lattices, dt_k1_xboole_0, % 24.30/4.14 dt_k1_zfmisc_1, dt_l1_lattices, dt_l1_struct_0, dt_m1_subset_1, dt_u1_struct_0, % 24.30/4.14 existence_l1_lattices, existence_l1_struct_0, existence_l2_lattices, % 24.30/4.14 existence_l3_lattices, existence_m1_subset_1, existence_m2_filter_2, % 24.30/4.14 existence_m2_lattice4, fc1_xboole_0, rc1_lattice4, rc1_xboole_0, rc2_subset_1, % 24.30/4.14 rc2_xboole_0, rc3_struct_0, reflexivity_r1_tarski, t1_subset, t3_subset, % 24.30/4.14 t4_subset, t5_subset, t6_boole, t8_boole % 24.30/4.14 % 24.30/4.14 Those formulas are unsatisfiable: % 24.30/4.14 --------------------------------- % 24.30/4.14 % 24.30/4.14 Begin of proof % 24.30/4.14 | % 24.30/4.14 | ALPHA: (dt_l3_lattices) implies: % 24.30/4.14 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) % 24.30/4.14 | % 24.30/4.14 | ALPHA: (dt_m2_filter_2) implies: % 24.30/4.14 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1, % 24.30/4.14 | v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | m2_lattice4(v1, % 24.30/4.14 | v0) | v3_struct_0(v0)) % 24.30/4.14 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1, % 24.30/4.14 | v0) | ~ v1_xboole_0(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) % 24.30/4.14 | | v3_struct_0(v0)) % 24.30/4.14 | % 24.30/4.14 | ALPHA: (function-axioms) implies: % 24.30/4.15 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 24.30/4.15 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 24.30/4.15 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 24.30/4.15 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 24.30/4.15 | % 24.30/4.15 | DELTA: instantiating (t39_filter_2) with fresh symbols all_48_0, all_48_1, % 24.30/4.15 | all_48_2, all_48_3, all_48_4, all_48_5, all_48_6, all_48_7, all_48_8, % 24.30/4.15 | all_48_9 gives: % 24.30/4.15 | (6) u1_struct_0(all_48_9) = all_48_8 & k1_zfmisc_1(all_48_8) = all_48_7 & % 24.30/4.15 | k19_filter_2(all_48_9, all_48_3) = all_48_2 & k19_filter_2(all_48_9, % 24.30/4.15 | all_48_5) = all_48_4 & k19_filter_2(all_48_9, all_48_6) = all_48_5 & % 24.30/4.15 | $i(all_48_1) & $i(all_48_2) & $i(all_48_3) & $i(all_48_4) & % 24.30/4.15 | $i(all_48_5) & $i(all_48_6) & $i(all_48_7) & $i(all_48_8) & % 24.30/4.15 | $i(all_48_9) & m1_subset_1(all_48_1, all_48_7) & m1_subset_1(all_48_3, % 24.30/4.15 | all_48_7) & m1_subset_1(all_48_6, all_48_7) & l3_lattices(all_48_9) & % 24.30/4.15 | v10_lattices(all_48_9) & ~ v1_xboole_0(all_48_1) & ~ % 24.30/4.15 | v1_xboole_0(all_48_3) & ~ v1_xboole_0(all_48_6) & ~ % 24.30/4.15 | v3_struct_0(all_48_9) & ( ~ r1_tarski(all_48_4, all_48_5) | % 24.30/4.15 | (k19_filter_2(all_48_9, all_48_1) = all_48_0 & $i(all_48_0) & % 24.30/4.15 | r1_tarski(all_48_3, all_48_1) & ~ r1_tarski(all_48_2, all_48_0))) % 24.30/4.15 | % 24.30/4.15 | ALPHA: (6) implies: % 24.30/4.15 | (7) ~ v3_struct_0(all_48_9) % 24.30/4.15 | (8) ~ v1_xboole_0(all_48_6) % 24.30/4.15 | (9) ~ v1_xboole_0(all_48_3) % 24.30/4.15 | (10) ~ v1_xboole_0(all_48_1) % 24.30/4.15 | (11) v10_lattices(all_48_9) % 24.30/4.15 | (12) l3_lattices(all_48_9) % 24.30/4.15 | (13) m1_subset_1(all_48_6, all_48_7) % 24.30/4.15 | (14) m1_subset_1(all_48_3, all_48_7) % 24.30/4.15 | (15) m1_subset_1(all_48_1, all_48_7) % 24.30/4.15 | (16) $i(all_48_9) % 24.30/4.15 | (17) $i(all_48_8) % 24.30/4.15 | (18) $i(all_48_7) % 24.30/4.15 | (19) $i(all_48_6) % 24.30/4.15 | (20) $i(all_48_5) % 24.30/4.15 | (21) $i(all_48_4) % 24.30/4.15 | (22) $i(all_48_3) % 24.30/4.15 | (23) $i(all_48_2) % 24.30/4.15 | (24) $i(all_48_1) % 24.30/4.15 | (25) k19_filter_2(all_48_9, all_48_6) = all_48_5 % 24.30/4.15 | (26) k19_filter_2(all_48_9, all_48_5) = all_48_4 % 24.30/4.15 | (27) k19_filter_2(all_48_9, all_48_3) = all_48_2 % 24.30/4.15 | (28) k1_zfmisc_1(all_48_8) = all_48_7 % 24.30/4.15 | (29) u1_struct_0(all_48_9) = all_48_8 % 24.30/4.15 | (30) ~ r1_tarski(all_48_4, all_48_5) | (k19_filter_2(all_48_9, all_48_1) = % 24.30/4.15 | all_48_0 & $i(all_48_0) & r1_tarski(all_48_3, all_48_1) & ~ % 24.30/4.15 | r1_tarski(all_48_2, all_48_0)) % 24.30/4.15 | % 24.30/4.15 | GROUND_INST: instantiating (1) with all_48_9, simplifying with (12), (16) % 24.30/4.15 | gives: % 24.30/4.15 | (31) l2_lattices(all_48_9) % 24.30/4.15 | % 24.30/4.15 | GROUND_INST: instantiating (t2_subset) with all_48_3, all_48_7, simplifying % 24.30/4.15 | with (14), (18), (22) gives: % 24.30/4.15 | (32) r2_hidden(all_48_3, all_48_7) | v1_xboole_0(all_48_7) % 24.30/4.15 | % 24.30/4.15 | GROUND_INST: instantiating (t2_subset) with all_48_1, all_48_7, simplifying % 24.30/4.15 | with (15), (18), (24) gives: % 24.30/4.15 | (33) r2_hidden(all_48_1, all_48_7) | v1_xboole_0(all_48_7) % 24.30/4.15 | % 24.30/4.15 | GROUND_INST: instantiating (dt_k19_filter_2) with all_48_9, all_48_6, % 24.30/4.15 | all_48_5, simplifying with (7), (8), (11), (12), (16), (19), (25) % 24.30/4.15 | gives: % 24.30/4.16 | (34) m2_filter_2(all_48_5, all_48_9) | ? [v0: $i] : ? [v1: $i] : % 24.30/4.16 | (u1_struct_0(all_48_9) = v0 & k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & % 24.30/4.16 | ~ m1_subset_1(all_48_6, v1)) % 24.30/4.16 | % 24.30/4.16 | GROUND_INST: instantiating (dt_k19_filter_2) with all_48_9, all_48_5, % 24.30/4.16 | all_48_4, simplifying with (7), (11), (12), (16), (20), (26) % 24.30/4.16 | gives: % 24.30/4.16 | (35) m2_filter_2(all_48_4, all_48_9) | v1_xboole_0(all_48_5) | ? [v0: $i] % 24.30/4.16 | : ? [v1: $i] : (u1_struct_0(all_48_9) = v0 & k1_zfmisc_1(v0) = v1 & % 24.30/4.16 | $i(v1) & $i(v0) & ~ m1_subset_1(all_48_5, v1)) % 24.30/4.16 | % 24.30/4.16 | GROUND_INST: instantiating (dt_k19_filter_2) with all_48_9, all_48_3, % 24.30/4.16 | all_48_2, simplifying with (7), (9), (11), (12), (16), (22), (27) % 24.30/4.16 | gives: % 24.30/4.16 | (36) m2_filter_2(all_48_2, all_48_9) | ? [v0: $i] : ? [v1: $i] : % 24.30/4.16 | (u1_struct_0(all_48_9) = v0 & k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & % 24.30/4.16 | ~ m1_subset_1(all_48_3, v1)) % 24.30/4.16 | % 24.30/4.16 | GROUND_INST: instantiating (rc1_subset_1) with all_48_8, all_48_7, simplifying % 24.30/4.16 | with (17), (28) gives: % 24.30/4.16 | (37) v1_xboole_0(all_48_8) | ? [v0: $i] : ($i(v0) & m1_subset_1(v0, % 24.30/4.16 | all_48_7) & ~ v1_xboole_0(v0)) % 24.30/4.16 | % 24.30/4.16 | GROUND_INST: instantiating (d11_filter_2) with all_48_9, all_48_8, simplifying % 24.30/4.16 | with (7), (11), (12), (16), (29) gives: % 24.30/4.16 | (38) ? [v0: $i] : (k1_zfmisc_1(all_48_8) = v0 & $i(v0) & ! [v1: $i] : ! % 24.30/4.16 | [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ (k19_filter_2(all_48_9, v1) = % 24.30/4.16 | v2) | ~ $i(v3) | ~ $i(v1) | ~ m2_filter_2(v3, all_48_9) | ~ % 24.30/4.16 | r1_tarski(v1, v3) | ~ m1_subset_1(v1, v0) | v1_xboole_0(v1) | ? % 24.30/4.16 | [v4: $i] : ($i(v4) & m2_filter_2(v4, all_48_9) & r1_tarski(v1, v4) % 24.30/4.16 | & ~ r1_tarski(v3, v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: % 24.30/4.16 | $i] : ( ~ (k19_filter_2(all_48_9, v1) = v2) | ~ $i(v3) | ~ % 24.30/4.16 | $i(v2) | ~ $i(v1) | ~ m2_filter_2(v3, all_48_9) | ~ % 24.30/4.16 | m2_filter_2(v2, all_48_9) | ~ r1_tarski(v1, v3) | ~ % 24.30/4.16 | m1_subset_1(v1, v0) | r1_tarski(v2, v3) | v1_xboole_0(v1)) & ! % 24.30/4.16 | [v1: $i] : ! [v2: $i] : ( ~ (k19_filter_2(all_48_9, v1) = v2) | ~ % 24.30/4.16 | $i(v2) | ~ $i(v1) | ~ m2_filter_2(v2, all_48_9) | ~ % 24.30/4.16 | m1_subset_1(v1, v0) | r1_tarski(v1, v2) | v1_xboole_0(v1))) % 24.30/4.16 | % 24.30/4.16 | GROUND_INST: instantiating (dt_m2_lattice4) with all_48_9, all_48_8, % 24.30/4.16 | simplifying with (7), (11), (12), (16), (29) gives: % 24.30/4.16 | (39) ? [v0: $i] : (k1_zfmisc_1(all_48_8) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 24.30/4.16 | $i(v1) | ~ m2_lattice4(v1, all_48_9) | m1_subset_1(v1, v0))) % 24.30/4.16 | % 24.30/4.16 | DELTA: instantiating (39) with fresh symbol all_64_0 gives: % 24.30/4.16 | (40) k1_zfmisc_1(all_48_8) = all_64_0 & $i(all_64_0) & ! [v0: $i] : ( ~ % 24.30/4.16 | $i(v0) | ~ m2_lattice4(v0, all_48_9) | m1_subset_1(v0, all_64_0)) % 24.30/4.16 | % 24.30/4.16 | ALPHA: (40) implies: % 24.30/4.16 | (41) k1_zfmisc_1(all_48_8) = all_64_0 % 24.30/4.16 | (42) ! [v0: $i] : ( ~ $i(v0) | ~ m2_lattice4(v0, all_48_9) | % 24.30/4.16 | m1_subset_1(v0, all_64_0)) % 24.30/4.16 | % 24.30/4.16 | DELTA: instantiating (38) with fresh symbol all_67_0 gives: % 24.30/4.17 | (43) k1_zfmisc_1(all_48_8) = all_67_0 & $i(all_67_0) & ! [v0: $i] : ! % 24.30/4.17 | [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (k19_filter_2(all_48_9, v0) = % 24.30/4.17 | v1) | ~ $i(v2) | ~ $i(v0) | ~ m2_filter_2(v2, all_48_9) | ~ % 24.30/4.17 | r1_tarski(v0, v2) | ~ m1_subset_1(v0, all_67_0) | v1_xboole_0(v0) | % 24.30/4.17 | ? [v3: $i] : ($i(v3) & m2_filter_2(v3, all_48_9) & r1_tarski(v0, % 24.30/4.17 | v3) & ~ r1_tarski(v2, v3))) & ! [v0: $i] : ! [v1: $i] : ! % 24.30/4.17 | [v2: $i] : ( ~ (k19_filter_2(all_48_9, v0) = v1) | ~ $i(v2) | ~ % 24.30/4.17 | $i(v1) | ~ $i(v0) | ~ m2_filter_2(v2, all_48_9) | ~ % 24.30/4.17 | m2_filter_2(v1, all_48_9) | ~ r1_tarski(v0, v2) | ~ % 24.30/4.17 | m1_subset_1(v0, all_67_0) | r1_tarski(v1, v2) | v1_xboole_0(v0)) & % 24.30/4.17 | ! [v0: $i] : ! [v1: $i] : ( ~ (k19_filter_2(all_48_9, v0) = v1) | ~ % 24.30/4.17 | $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1, all_48_9) | ~ % 24.30/4.17 | m1_subset_1(v0, all_67_0) | r1_tarski(v0, v1) | v1_xboole_0(v0)) % 24.30/4.17 | % 24.30/4.17 | ALPHA: (43) implies: % 24.30/4.17 | (44) k1_zfmisc_1(all_48_8) = all_67_0 % 24.30/4.17 | (45) ! [v0: $i] : ! [v1: $i] : ( ~ (k19_filter_2(all_48_9, v0) = v1) | ~ % 24.30/4.17 | $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1, all_48_9) | ~ % 24.30/4.17 | m1_subset_1(v0, all_67_0) | r1_tarski(v0, v1) | v1_xboole_0(v0)) % 24.30/4.17 | (46) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k19_filter_2(all_48_9, % 24.30/4.17 | v0) = v1) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 24.30/4.17 | m2_filter_2(v2, all_48_9) | ~ m2_filter_2(v1, all_48_9) | ~ % 24.30/4.17 | r1_tarski(v0, v2) | ~ m1_subset_1(v0, all_67_0) | r1_tarski(v1, v2) % 24.30/4.17 | | v1_xboole_0(v0)) % 24.30/4.17 | % 24.30/4.17 | GROUND_INST: instantiating (4) with all_48_7, all_67_0, all_48_8, simplifying % 24.30/4.17 | with (28), (44) gives: % 24.30/4.17 | (47) all_67_0 = all_48_7 % 24.30/4.17 | % 24.30/4.17 | GROUND_INST: instantiating (4) with all_64_0, all_67_0, all_48_8, simplifying % 24.30/4.17 | with (41), (44) gives: % 24.30/4.17 | (48) all_67_0 = all_64_0 % 24.30/4.17 | % 24.30/4.17 | COMBINE_EQS: (47), (48) imply: % 24.30/4.17 | (49) all_64_0 = all_48_7 % 24.30/4.17 | % 24.30/4.17 | BETA: splitting (36) gives: % 24.30/4.17 | % 24.30/4.17 | Case 1: % 24.30/4.17 | | % 24.30/4.17 | | (50) m2_filter_2(all_48_2, all_48_9) % 24.30/4.17 | | % 24.30/4.17 | | BETA: splitting (34) gives: % 24.30/4.17 | | % 24.30/4.17 | | Case 1: % 24.30/4.17 | | | % 24.30/4.17 | | | (51) m2_filter_2(all_48_5, all_48_9) % 24.30/4.17 | | | % 24.30/4.17 | | | GROUND_INST: instantiating (2) with all_48_9, all_48_5, simplifying with % 24.30/4.17 | | | (7), (11), (12), (16), (20), (51) gives: % 24.30/4.17 | | | (52) m2_lattice4(all_48_5, all_48_9) % 24.30/4.17 | | | % 24.30/4.17 | | | GROUND_INST: instantiating (dt_l2_lattices) with all_48_9, simplifying % 24.30/4.17 | | | with (16), (31) gives: % 24.30/4.17 | | | (53) l1_struct_0(all_48_9) % 24.30/4.17 | | | % 24.30/4.17 | | | GROUND_INST: instantiating (rc5_struct_0) with all_48_9, all_48_8, % 24.30/4.17 | | | simplifying with (7), (16), (29), (53) gives: % 24.30/4.17 | | | (54) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_48_8) = v0 & $i(v1) & % 24.30/4.17 | | | $i(v0) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 24.30/4.17 | | | % 24.30/4.17 | | | GROUND_INST: instantiating (42) with all_48_5, simplifying with (20), (52) % 24.30/4.17 | | | gives: % 24.30/4.17 | | | (55) m1_subset_1(all_48_5, all_64_0) % 24.30/4.17 | | | % 24.30/4.17 | | | DELTA: instantiating (54) with fresh symbols all_94_0, all_94_1 gives: % 24.30/4.17 | | | (56) k1_zfmisc_1(all_48_8) = all_94_1 & $i(all_94_0) & $i(all_94_1) & % 24.30/4.17 | | | m1_subset_1(all_94_0, all_94_1) & ~ v1_xboole_0(all_94_0) % 24.30/4.17 | | | % 24.30/4.17 | | | ALPHA: (56) implies: % 24.30/4.17 | | | (57) $i(all_94_1) % 24.30/4.17 | | | (58) k1_zfmisc_1(all_48_8) = all_94_1 % 24.30/4.17 | | | % 24.30/4.17 | | | REDUCE: (49), (55) imply: % 24.30/4.17 | | | (59) m1_subset_1(all_48_5, all_48_7) % 24.30/4.17 | | | % 24.30/4.17 | | | GROUND_INST: instantiating (4) with all_48_7, all_94_1, all_48_8, % 24.30/4.17 | | | simplifying with (28), (58) gives: % 24.30/4.17 | | | (60) all_94_1 = all_48_7 % 24.30/4.17 | | | % 24.30/4.17 | | | BETA: splitting (30) gives: % 24.30/4.17 | | | % 24.30/4.17 | | | Case 1: % 24.30/4.17 | | | | % 24.30/4.17 | | | | (61) ~ r1_tarski(all_48_4, all_48_5) % 24.30/4.17 | | | | % 24.30/4.17 | | | | BETA: splitting (37) gives: % 24.30/4.17 | | | | % 24.30/4.17 | | | | Case 1: % 24.30/4.17 | | | | | % 24.30/4.17 | | | | | (62) v1_xboole_0(all_48_8) % 24.30/4.17 | | | | | % 24.30/4.17 | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_48_9, all_48_8, % 24.30/4.17 | | | | | simplifying with (7), (16), (29), (53), (62) gives: % 24.30/4.17 | | | | | (63) $false % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | CLOSE: (63) is inconsistent. % 24.30/4.18 | | | | | % 24.30/4.18 | | | | Case 2: % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | (64) ? [v0: $i] : ($i(v0) & m1_subset_1(v0, all_48_7) & ~ % 24.30/4.18 | | | | | v1_xboole_0(v0)) % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | DELTA: instantiating (64) with fresh symbol all_134_0 gives: % 24.30/4.18 | | | | | (65) $i(all_134_0) & m1_subset_1(all_134_0, all_48_7) & ~ % 24.30/4.18 | | | | | v1_xboole_0(all_134_0) % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | ALPHA: (65) implies: % 24.30/4.18 | | | | | (66) m1_subset_1(all_134_0, all_48_7) % 24.30/4.18 | | | | | (67) $i(all_134_0) % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | GROUND_INST: instantiating (t2_subset) with all_134_0, all_48_7, % 24.30/4.18 | | | | | simplifying with (18), (66), (67) gives: % 24.30/4.18 | | | | | (68) r2_hidden(all_134_0, all_48_7) | v1_xboole_0(all_48_7) % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | BETA: splitting (32) gives: % 24.30/4.18 | | | | | % 24.30/4.18 | | | | | Case 1: % 24.30/4.18 | | | | | | % 24.30/4.18 | | | | | | (69) r2_hidden(all_48_3, all_48_7) % 24.30/4.18 | | | | | | % 24.30/4.18 | | | | | | BETA: splitting (35) gives: % 24.30/4.18 | | | | | | % 24.30/4.18 | | | | | | Case 1: % 24.30/4.18 | | | | | | | % 24.30/4.18 | | | | | | | (70) m2_filter_2(all_48_4, all_48_9) % 24.30/4.18 | | | | | | | % 24.30/4.18 | | | | | | | BETA: splitting (33) gives: % 24.30/4.18 | | | | | | | % 24.30/4.18 | | | | | | | Case 1: % 24.30/4.18 | | | | | | | | % 24.30/4.18 | | | | | | | | (71) r2_hidden(all_48_1, all_48_7) % 24.30/4.18 | | | | | | | | % 24.30/4.18 | | | | | | | | BETA: splitting (68) gives: % 24.30/4.18 | | | | | | | | % 24.30/4.18 | | | | | | | | Case 1: % 24.30/4.18 | | | | | | | | | % 24.30/4.18 | | | | | | | | | % 24.30/4.18 | | | | | | | | | GROUND_INST: instantiating (45) with all_48_6, all_48_5, % 24.30/4.18 | | | | | | | | | simplifying with (8), (19), (20), (25), (51) % 24.30/4.18 | | | | | | | | | gives: % 24.30/4.18 | | | | | | | | | (72) ~ m1_subset_1(all_48_6, all_67_0) | % 24.30/4.18 | | | | | | | | | r1_tarski(all_48_6, all_48_5) % 24.30/4.18 | | | | | | | | | % 24.30/4.18 | | | | | | | | | BETA: splitting (72) gives: % 24.30/4.18 | | | | | | | | | % 24.30/4.18 | | | | | | | | | Case 1: % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | | (73) ~ m1_subset_1(all_48_6, all_67_0) % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | | REDUCE: (47), (73) imply: % 24.30/4.18 | | | | | | | | | | (74) ~ m1_subset_1(all_48_6, all_48_7) % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | | PRED_UNIFY: (13), (74) imply: % 24.30/4.18 | | | | | | | | | | (75) $false % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | | CLOSE: (75) is inconsistent. % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | Case 2: % 24.30/4.18 | | | | | | | | | | % 24.30/4.18 | | | | | | | | | | (76) m1_subset_1(all_48_6, all_67_0) % 24.30/4.18 | | | | | | | | | | (77) r1_tarski(all_48_6, all_48_5) % 24.30/4.18 | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | GROUND_INST: instantiating (46) with all_48_6, all_48_5, % 25.02/4.18 | | | | | | | | | | all_48_5, simplifying with (8), (19), (20), (25), % 25.02/4.18 | | | | | | | | | | (51), (77) gives: % 25.02/4.18 | | | | | | | | | | (78) ~ m1_subset_1(all_48_6, all_67_0) | % 25.02/4.18 | | | | | | | | | | r1_tarski(all_48_5, all_48_5) % 25.02/4.18 | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | BETA: splitting (78) gives: % 25.02/4.18 | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | Case 1: % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | (79) ~ m1_subset_1(all_48_6, all_67_0) % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | REDUCE: (47), (79) imply: % 25.02/4.18 | | | | | | | | | | | (80) ~ m1_subset_1(all_48_6, all_48_7) % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | PRED_UNIFY: (13), (80) imply: % 25.02/4.18 | | | | | | | | | | | (81) $false % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | CLOSE: (81) is inconsistent. % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | Case 2: % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | (82) r1_tarski(all_48_5, all_48_5) % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | GROUND_INST: instantiating (46) with all_48_5, all_48_4, % 25.02/4.18 | | | | | | | | | | | all_48_5, simplifying with (20), (21), (26), (51), % 25.02/4.18 | | | | | | | | | | | (61), (70), (82) gives: % 25.02/4.18 | | | | | | | | | | | (83) ~ m1_subset_1(all_48_5, all_67_0) | % 25.02/4.18 | | | | | | | | | | | v1_xboole_0(all_48_5) % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | BETA: splitting (83) gives: % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | Case 1: % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | (84) ~ m1_subset_1(all_48_5, all_67_0) % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | REDUCE: (47), (84) imply: % 25.02/4.18 | | | | | | | | | | | | (85) ~ m1_subset_1(all_48_5, all_48_7) % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | PRED_UNIFY: (59), (85) imply: % 25.02/4.18 | | | | | | | | | | | | (86) $false % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | CLOSE: (86) is inconsistent. % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | Case 2: % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | (87) v1_xboole_0(all_48_5) % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_48_9, all_48_5, % 25.02/4.18 | | | | | | | | | | | | simplifying with (7), (11), (12), (16), (20), % 25.02/4.18 | | | | | | | | | | | | (51), (87) gives: % 25.02/4.18 | | | | | | | | | | | | (88) $false % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | | CLOSE: (88) is inconsistent. % 25.02/4.18 | | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | | End of split % 25.02/4.18 | | | | | | | | | | | % 25.02/4.18 | | | | | | | | | | End of split % 25.02/4.18 | | | | | | | | | | % 25.02/4.18 | | | | | | | | | End of split % 25.02/4.18 | | | | | | | | | % 25.02/4.18 | | | | | | | | Case 2: % 25.02/4.18 | | | | | | | | | % 25.02/4.18 | | | | | | | | | (89) v1_xboole_0(all_48_7) % 25.02/4.18 | | | | | | | | | % 25.04/4.18 | | | | | | | | | GROUND_INST: instantiating (t7_boole) with all_48_1, all_48_7, % 25.04/4.18 | | | | | | | | | simplifying with (18), (24), (71), (89) gives: % 25.04/4.18 | | | | | | | | | (90) $false % 25.04/4.18 | | | | | | | | | % 25.04/4.18 | | | | | | | | | CLOSE: (90) is inconsistent. % 25.04/4.18 | | | | | | | | | % 25.04/4.18 | | | | | | | | End of split % 25.04/4.18 | | | | | | | | % 25.04/4.18 | | | | | | | Case 2: % 25.04/4.18 | | | | | | | | % 25.04/4.18 | | | | | | | | (91) v1_xboole_0(all_48_7) % 25.04/4.18 | | | | | | | | % 25.04/4.18 | | | | | | | | GROUND_INST: instantiating (t7_boole) with all_48_3, all_48_7, % 25.04/4.18 | | | | | | | | simplifying with (18), (22), (69), (91) gives: % 25.04/4.19 | | | | | | | | (92) $false % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | CLOSE: (92) is inconsistent. % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | End of split % 25.04/4.19 | | | | | | | % 25.04/4.19 | | | | | | Case 2: % 25.04/4.19 | | | | | | | % 25.04/4.19 | | | | | | | (93) v1_xboole_0(all_48_5) | ? [v0: $i] : ? [v1: $i] : % 25.04/4.19 | | | | | | | (u1_struct_0(all_48_9) = v0 & k1_zfmisc_1(v0) = v1 & % 25.04/4.19 | | | | | | | $i(v1) & $i(v0) & ~ m1_subset_1(all_48_5, v1)) % 25.04/4.19 | | | | | | | % 25.04/4.19 | | | | | | | BETA: splitting (93) gives: % 25.04/4.19 | | | | | | | % 25.04/4.19 | | | | | | | Case 1: % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | (94) v1_xboole_0(all_48_5) % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | GROUND_INST: instantiating (3) with all_48_9, all_48_5, % 25.04/4.19 | | | | | | | | simplifying with (7), (11), (12), (16), (20), (51), % 25.04/4.19 | | | | | | | | (94) gives: % 25.04/4.19 | | | | | | | | (95) $false % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | CLOSE: (95) is inconsistent. % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | Case 2: % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | (96) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_48_9) = v0 % 25.04/4.19 | | | | | | | | & k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ~ % 25.04/4.19 | | | | | | | | m1_subset_1(all_48_5, v1)) % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | DELTA: instantiating (96) with fresh symbols all_166_0, % 25.04/4.19 | | | | | | | | all_166_1 gives: % 25.04/4.19 | | | | | | | | (97) u1_struct_0(all_48_9) = all_166_1 & % 25.04/4.19 | | | | | | | | k1_zfmisc_1(all_166_1) = all_166_0 & $i(all_166_0) & % 25.04/4.19 | | | | | | | | $i(all_166_1) & ~ m1_subset_1(all_48_5, all_166_0) % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | ALPHA: (97) implies: % 25.04/4.19 | | | | | | | | (98) ~ m1_subset_1(all_48_5, all_166_0) % 25.04/4.19 | | | | | | | | (99) k1_zfmisc_1(all_166_1) = all_166_0 % 25.04/4.19 | | | | | | | | (100) u1_struct_0(all_48_9) = all_166_1 % 25.04/4.19 | | | | | | | | % 25.04/4.19 | | | | | | | | GROUND_INST: instantiating (5) with all_48_8, all_166_1, % 25.04/4.20 | | | | | | | | all_48_9, simplifying with (29), (100) gives: % 25.04/4.20 | | | | | | | | (101) all_166_1 = all_48_8 % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | | REDUCE: (99), (101) imply: % 25.04/4.20 | | | | | | | | (102) k1_zfmisc_1(all_48_8) = all_166_0 % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | | GROUND_INST: instantiating (4) with all_48_7, all_166_0, % 25.04/4.20 | | | | | | | | all_48_8, simplifying with (28), (102) gives: % 25.04/4.20 | | | | | | | | (103) all_166_0 = all_48_7 % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | | REDUCE: (98), (103) imply: % 25.04/4.20 | | | | | | | | (104) ~ m1_subset_1(all_48_5, all_48_7) % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | | PRED_UNIFY: (59), (104) imply: % 25.04/4.20 | | | | | | | | (105) $false % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | | CLOSE: (105) is inconsistent. % 25.04/4.20 | | | | | | | | % 25.04/4.20 | | | | | | | End of split % 25.04/4.20 | | | | | | | % 25.04/4.20 | | | | | | End of split % 25.04/4.20 | | | | | | % 25.04/4.20 | | | | | Case 2: % 25.04/4.20 | | | | | | % 25.04/4.20 | | | | | | (106) v1_xboole_0(all_48_7) % 25.04/4.20 | | | | | | % 25.04/4.20 | | | | | | GROUND_INST: instantiating (fc1_subset_1) with all_48_8, all_48_7, % 25.04/4.20 | | | | | | simplifying with (17), (28), (106) gives: % 25.04/4.20 | | | | | | (107) $false % 25.04/4.20 | | | | | | % 25.04/4.20 | | | | | | CLOSE: (107) is inconsistent. % 25.04/4.20 | | | | | | % 25.04/4.20 | | | | | End of split % 25.04/4.20 | | | | | % 25.04/4.20 | | | | End of split % 25.04/4.20 | | | | % 25.04/4.20 | | | Case 2: % 25.04/4.20 | | | | % 25.04/4.20 | | | | (108) k19_filter_2(all_48_9, all_48_1) = all_48_0 & $i(all_48_0) & % 25.04/4.20 | | | | r1_tarski(all_48_3, all_48_1) & ~ r1_tarski(all_48_2, % 25.04/4.20 | | | | all_48_0) % 25.04/4.20 | | | | % 25.04/4.20 | | | | ALPHA: (108) implies: % 25.04/4.20 | | | | (109) ~ r1_tarski(all_48_2, all_48_0) % 25.04/4.20 | | | | (110) r1_tarski(all_48_3, all_48_1) % 25.04/4.20 | | | | (111) $i(all_48_0) % 25.04/4.20 | | | | (112) k19_filter_2(all_48_9, all_48_1) = all_48_0 % 25.04/4.20 | | | | % 25.04/4.20 | | | | GROUND_INST: instantiating (dt_k19_filter_2) with all_48_9, all_48_1, % 25.04/4.20 | | | | all_48_0, simplifying with (7), (10), (11), (12), (16), % 25.04/4.20 | | | | (24), (112) gives: % 25.04/4.20 | | | | (113) m2_filter_2(all_48_0, all_48_9) | ? [v0: $i] : ? [v1: $i] : % 25.04/4.20 | | | | (u1_struct_0(all_48_9) = v0 & k1_zfmisc_1(v0) = v1 & $i(v1) & % 25.04/4.20 | | | | $i(v0) & ~ m1_subset_1(all_48_1, v1)) % 25.04/4.20 | | | | % 25.04/4.20 | | | | BETA: splitting (113) gives: % 25.04/4.20 | | | | % 25.04/4.20 | | | | Case 1: % 25.04/4.20 | | | | | % 25.04/4.20 | | | | | (114) m2_filter_2(all_48_0, all_48_9) % 25.04/4.20 | | | | | % 25.04/4.20 | | | | | GROUND_INST: instantiating (45) with all_48_3, all_48_2, simplifying % 25.04/4.20 | | | | | with (9), (22), (23), (27), (50) gives: % 25.04/4.20 | | | | | (115) ~ m1_subset_1(all_48_3, all_67_0) | r1_tarski(all_48_3, % 25.04/4.20 | | | | | all_48_2) % 25.04/4.20 | | | | | % 25.12/4.20 | | | | | GROUND_INST: instantiating (45) with all_48_1, all_48_0, simplifying % 25.12/4.20 | | | | | with (10), (24), (111), (112), (114) gives: % 25.12/4.20 | | | | | (116) ~ m1_subset_1(all_48_1, all_67_0) | r1_tarski(all_48_1, % 25.12/4.20 | | | | | all_48_0) % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | BETA: splitting (116) gives: % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | Case 1: % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | (117) ~ m1_subset_1(all_48_1, all_67_0) % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | REDUCE: (47), (117) imply: % 25.12/4.20 | | | | | | (118) ~ m1_subset_1(all_48_1, all_48_7) % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | PRED_UNIFY: (15), (118) imply: % 25.12/4.20 | | | | | | (119) $false % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | CLOSE: (119) is inconsistent. % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | Case 2: % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | (120) r1_tarski(all_48_1, all_48_0) % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | BETA: splitting (115) gives: % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | | Case 1: % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | (121) ~ m1_subset_1(all_48_3, all_67_0) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | REDUCE: (47), (121) imply: % 25.12/4.20 | | | | | | | (122) ~ m1_subset_1(all_48_3, all_48_7) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | PRED_UNIFY: (14), (122) imply: % 25.12/4.20 | | | | | | | (123) $false % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | CLOSE: (123) is inconsistent. % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | Case 2: % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | (124) m1_subset_1(all_48_3, all_67_0) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | GROUND_INST: instantiating (t1_xboole_1) with all_48_3, all_48_1, % 25.12/4.20 | | | | | | | all_48_0, simplifying with (22), (24), (110), (111), % 25.12/4.20 | | | | | | | (120) gives: % 25.12/4.20 | | | | | | | (125) r1_tarski(all_48_3, all_48_0) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | GROUND_INST: instantiating (46) with all_48_3, all_48_2, all_48_0, % 25.12/4.20 | | | | | | | simplifying with (9), (22), (23), (27), (50), (109), % 25.12/4.20 | | | | | | | (111), (114), (125) gives: % 25.12/4.20 | | | | | | | (126) ~ m1_subset_1(all_48_3, all_67_0) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | REDUCE: (47), (126) imply: % 25.12/4.20 | | | | | | | (127) ~ m1_subset_1(all_48_3, all_48_7) % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | PRED_UNIFY: (14), (127) imply: % 25.12/4.20 | | | | | | | (128) $false % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | | CLOSE: (128) is inconsistent. % 25.12/4.20 | | | | | | | % 25.12/4.20 | | | | | | End of split % 25.12/4.20 | | | | | | % 25.12/4.20 | | | | | End of split % 25.12/4.20 | | | | | % 25.12/4.20 | | | | Case 2: % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | (129) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_48_9) = v0 & % 25.12/4.20 | | | | | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ~ % 25.12/4.20 | | | | | m1_subset_1(all_48_1, v1)) % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | DELTA: instantiating (129) with fresh symbols all_137_0, all_137_1 % 25.12/4.20 | | | | | gives: % 25.12/4.20 | | | | | (130) u1_struct_0(all_48_9) = all_137_1 & k1_zfmisc_1(all_137_1) = % 25.12/4.20 | | | | | all_137_0 & $i(all_137_0) & $i(all_137_1) & ~ % 25.12/4.20 | | | | | m1_subset_1(all_48_1, all_137_0) % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | ALPHA: (130) implies: % 25.12/4.20 | | | | | (131) ~ m1_subset_1(all_48_1, all_137_0) % 25.12/4.20 | | | | | (132) k1_zfmisc_1(all_137_1) = all_137_0 % 25.12/4.20 | | | | | (133) u1_struct_0(all_48_9) = all_137_1 % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | GROUND_INST: instantiating (5) with all_48_8, all_137_1, all_48_9, % 25.12/4.20 | | | | | simplifying with (29), (133) gives: % 25.12/4.20 | | | | | (134) all_137_1 = all_48_8 % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | REDUCE: (132), (134) imply: % 25.12/4.20 | | | | | (135) k1_zfmisc_1(all_48_8) = all_137_0 % 25.12/4.20 | | | | | % 25.12/4.20 | | | | | GROUND_INST: instantiating (4) with all_48_7, all_137_0, all_48_8, % 25.12/4.20 | | | | | simplifying with (28), (135) gives: % 25.12/4.21 | | | | | (136) all_137_0 = all_48_7 % 25.12/4.21 | | | | | % 25.12/4.21 | | | | | REDUCE: (131), (136) imply: % 25.12/4.21 | | | | | (137) ~ m1_subset_1(all_48_1, all_48_7) % 25.12/4.21 | | | | | % 25.12/4.21 | | | | | PRED_UNIFY: (15), (137) imply: % 25.12/4.21 | | | | | (138) $false % 25.12/4.21 | | | | | % 25.12/4.21 | | | | | CLOSE: (138) is inconsistent. % 25.12/4.21 | | | | | % 25.12/4.21 | | | | End of split % 25.12/4.21 | | | | % 25.12/4.21 | | | End of split % 25.12/4.21 | | | % 25.12/4.21 | | Case 2: % 25.12/4.21 | | | % 25.12/4.21 | | | (139) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_48_9) = v0 & % 25.12/4.21 | | | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ~ % 25.12/4.21 | | | m1_subset_1(all_48_6, v1)) % 25.12/4.21 | | | % 25.12/4.21 | | | DELTA: instantiating (139) with fresh symbols all_82_0, all_82_1 gives: % 25.12/4.21 | | | (140) u1_struct_0(all_48_9) = all_82_1 & k1_zfmisc_1(all_82_1) = % 25.12/4.21 | | | all_82_0 & $i(all_82_0) & $i(all_82_1) & ~ m1_subset_1(all_48_6, % 25.12/4.21 | | | all_82_0) % 25.12/4.21 | | | % 25.12/4.21 | | | ALPHA: (140) implies: % 25.12/4.21 | | | (141) ~ m1_subset_1(all_48_6, all_82_0) % 25.12/4.21 | | | (142) k1_zfmisc_1(all_82_1) = all_82_0 % 25.12/4.21 | | | (143) u1_struct_0(all_48_9) = all_82_1 % 25.12/4.21 | | | % 25.12/4.21 | | | GROUND_INST: instantiating (5) with all_48_8, all_82_1, all_48_9, % 25.12/4.21 | | | simplifying with (29), (143) gives: % 25.12/4.21 | | | (144) all_82_1 = all_48_8 % 25.12/4.21 | | | % 25.12/4.21 | | | REDUCE: (142), (144) imply: % 25.12/4.21 | | | (145) k1_zfmisc_1(all_48_8) = all_82_0 % 25.12/4.21 | | | % 25.12/4.21 | | | GROUND_INST: instantiating (4) with all_48_7, all_82_0, all_48_8, % 25.12/4.21 | | | simplifying with (28), (145) gives: % 25.12/4.21 | | | (146) all_82_0 = all_48_7 % 25.12/4.21 | | | % 25.12/4.21 | | | REDUCE: (141), (146) imply: % 25.12/4.21 | | | (147) ~ m1_subset_1(all_48_6, all_48_7) % 25.12/4.21 | | | % 25.12/4.21 | | | PRED_UNIFY: (13), (147) imply: % 25.12/4.21 | | | (148) $false % 25.12/4.21 | | | % 25.12/4.21 | | | CLOSE: (148) is inconsistent. % 25.12/4.21 | | | % 25.12/4.21 | | End of split % 25.12/4.21 | | % 25.12/4.21 | Case 2: % 25.12/4.21 | | % 25.12/4.21 | | (149) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_48_9) = v0 & % 25.12/4.21 | | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ~ m1_subset_1(all_48_3, % 25.12/4.21 | | v1)) % 25.12/4.21 | | % 25.12/4.21 | | DELTA: instantiating (149) with fresh symbols all_78_0, all_78_1 gives: % 25.12/4.21 | | (150) u1_struct_0(all_48_9) = all_78_1 & k1_zfmisc_1(all_78_1) = all_78_0 % 25.12/4.21 | | & $i(all_78_0) & $i(all_78_1) & ~ m1_subset_1(all_48_3, all_78_0) % 25.12/4.21 | | % 25.12/4.21 | | ALPHA: (150) implies: % 25.12/4.21 | | (151) ~ m1_subset_1(all_48_3, all_78_0) % 25.12/4.21 | | (152) k1_zfmisc_1(all_78_1) = all_78_0 % 25.12/4.21 | | (153) u1_struct_0(all_48_9) = all_78_1 % 25.12/4.21 | | % 25.12/4.21 | | GROUND_INST: instantiating (5) with all_48_8, all_78_1, all_48_9, % 25.12/4.21 | | simplifying with (29), (153) gives: % 25.12/4.21 | | (154) all_78_1 = all_48_8 % 25.12/4.21 | | % 25.12/4.21 | | REDUCE: (152), (154) imply: % 25.12/4.21 | | (155) k1_zfmisc_1(all_48_8) = all_78_0 % 25.12/4.21 | | % 25.12/4.21 | | GROUND_INST: instantiating (4) with all_48_7, all_78_0, all_48_8, % 25.12/4.21 | | simplifying with (28), (155) gives: % 25.12/4.21 | | (156) all_78_0 = all_48_7 % 25.12/4.21 | | % 25.12/4.21 | | REDUCE: (151), (156) imply: % 25.12/4.21 | | (157) ~ m1_subset_1(all_48_3, all_48_7) % 25.12/4.21 | | % 25.12/4.21 | | PRED_UNIFY: (14), (157) imply: % 25.12/4.21 | | (158) $false % 25.12/4.21 | | % 25.12/4.21 | | CLOSE: (158) is inconsistent. % 25.12/4.21 | | % 25.12/4.21 | End of split % 25.12/4.21 | % 25.12/4.21 End of proof % 25.12/4.21 % SZS output end Proof for theBenchmark % 25.12/4.21 % 25.12/4.21 3591ms %------------------------------------------------------------------------------