%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : TOP023+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 : n005.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 : Fri Sep 1 05:58:48 EDT 2023 % Result : Theorem 26.53s 4.28s % Output : Proof 32.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : TOP023+1 : TPTP v8.1.2. Released v3.4.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n005.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sat Aug 26 23:20:23 EDT 2023 % 0.14/0.36 % CPUTime : % 0.21/0.63 ________ _____ % 0.21/0.63 ___ __ \_________(_)________________________________ % 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.63 % 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.63 (2023-06-19) % 0.21/0.63 % 0.21/0.63 (c) Philipp Rümmer, 2009-2023 % 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.63 Amanda Stjerna. % 0.21/0.63 Free software under BSD-3-Clause. % 0.21/0.63 % 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.63 % 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.64 Running up to 7 provers in parallel. % 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.44/1.20 Prover 4: Preprocessing ... % 3.44/1.20 Prover 1: Preprocessing ... % 3.44/1.23 Prover 6: Preprocessing ... % 3.44/1.23 Prover 0: Preprocessing ... % 3.44/1.23 Prover 2: Preprocessing ... % 3.44/1.23 Prover 3: Preprocessing ... % 3.44/1.23 Prover 5: Preprocessing ... % 7.98/1.82 Prover 5: Proving ... % 7.98/1.87 Prover 1: Warning: ignoring some quantifiers % 7.98/1.89 Prover 2: Proving ... % 7.98/1.91 Prover 1: Constructing countermodel ... % 8.62/1.92 Prover 3: Warning: ignoring some quantifiers % 8.62/1.94 Prover 3: Constructing countermodel ... % 8.62/1.98 Prover 6: Proving ... % 11.92/2.39 Prover 4: Warning: ignoring some quantifiers % 12.66/2.48 Prover 4: Constructing countermodel ... % 12.66/2.49 Prover 0: Proving ... % 26.53/4.28 Prover 5: proved (3627ms) % 26.53/4.28 % 26.53/4.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 26.53/4.28 % 26.53/4.29 Prover 6: stopped % 26.53/4.29 Prover 2: stopped % 26.53/4.29 Prover 0: stopped % 26.53/4.30 Prover 3: stopped % 26.53/4.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 26.53/4.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 26.53/4.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 26.53/4.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 26.53/4.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 27.38/4.41 Prover 10: Preprocessing ... % 27.38/4.41 Prover 7: Preprocessing ... % 27.38/4.43 Prover 8: Preprocessing ... % 27.38/4.44 Prover 13: Preprocessing ... % 27.84/4.45 Prover 11: Preprocessing ... % 27.99/4.48 Prover 10: Warning: ignoring some quantifiers % 27.99/4.49 Prover 10: Constructing countermodel ... % 27.99/4.49 Prover 7: Warning: ignoring some quantifiers % 27.99/4.50 Prover 7: Constructing countermodel ... % 28.45/4.52 Prover 13: Warning: ignoring some quantifiers % 28.45/4.54 Prover 13: Constructing countermodel ... % 28.45/4.54 Prover 8: Warning: ignoring some quantifiers % 28.76/4.56 Prover 8: Constructing countermodel ... % 31.52/4.92 Prover 11: Warning: ignoring some quantifiers % 31.52/4.94 Prover 11: Constructing countermodel ... % 31.91/5.01 Prover 10: Found proof (size 154) % 31.91/5.02 Prover 10: proved (724ms) % 31.91/5.02 Prover 7: stopped % 31.91/5.02 Prover 13: stopped % 31.91/5.02 Prover 11: stopped % 31.91/5.02 Prover 8: stopped % 31.91/5.02 Prover 1: stopped % 31.91/5.02 Prover 4: stopped % 31.91/5.02 % 31.91/5.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 31.91/5.02 % 31.91/5.04 % SZS output start Proof for theBenchmark % 31.91/5.05 Assumptions after simplification: % 31.91/5.05 --------------------------------- % 31.91/5.05 % 31.91/5.05 (cc2_tops_1) % 32.45/5.07 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.45/5.07 l1_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] % 32.45/5.07 : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, % 32.45/5.07 v0)))) % 32.45/5.07 % 32.45/5.07 (d4_tsp_2) % 32.45/5.07 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.45/5.07 l1_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] % 32.45/5.07 : ! [v4: $i] : (v4 = v3 | ~ $i(v4) | ~ $i(v3) | ~ r1_tarski(v3, v4) | % 32.45/5.07 ~ v1_tsp_1(v4, v0) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v4, v2) | ~ % 32.45/5.07 m1_subset_1(v3, v2)) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_tsp_1(v3, v0) | % 32.45/5.07 ~ m1_subset_1(v3, v2) | v1_tsp_2(v3, v0) | ? [v4: $i] : ( ~ (v4 = v3) & % 32.45/5.07 $i(v4) & r1_tarski(v3, v4) & v1_tsp_1(v4, v0) & m1_subset_1(v4, v2))) % 32.45/5.07 & ! [v3: $i] : ( ~ $i(v3) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v3, v2) % 32.45/5.07 | v1_tsp_1(v3, v0)))) % 32.45/5.07 % 32.45/5.07 (dt_u1_pre_topc) % 32.45/5.07 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_pre_topc(v0) = v1) | ~ $i(v0) | ~ % 32.45/5.07 l1_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k1_zfmisc_1(v3) % 32.45/5.07 = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v0) = v2 & $i(v4) & $i(v3) & % 32.45/5.07 $i(v2) & m1_subset_1(v1, v4))) % 32.45/5.07 % 32.45/5.07 (free_g1_pre_topc) % 32.45/5.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 % 32.45/5.08 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = v2) | ~ $i(v4) % 32.45/5.08 | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 32.45/5.08 (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & $i(v6) & $i(v5) & ~ % 32.45/5.08 m1_subset_1(v1, v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 32.45/5.08 $i] : ! [v4: $i] : (v3 = v0 | ~ (g1_pre_topc(v3, v4) = v2) | ~ % 32.45/5.08 (g1_pre_topc(v0, v1) = v2) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | % 32.45/5.08 ? [v5: $i] : ? [v6: $i] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & % 32.45/5.08 $i(v6) & $i(v5) & ~ m1_subset_1(v1, v6))) % 32.45/5.08 % 32.45/5.08 (rc4_tops_1) % 32.59/5.08 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.59/5.08 l1_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) % 32.59/5.08 & $i(v2) & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & % 32.59/5.08 v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & % 32.59/5.08 m1_subset_1(v3, v2))) % 32.59/5.08 % 32.59/5.08 (t1_tsp_2) % 32.59/5.08 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 32.59/5.08 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 32.59/5.08 (k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v2 & u1_struct_0(v5) = v6 & % 32.59/5.08 u1_struct_0(v0) = v1 & u1_pre_topc(v5) = v8 & u1_pre_topc(v0) = v3 & % 32.59/5.08 g1_pre_topc(v6, v8) = v4 & g1_pre_topc(v1, v3) = v4 & $i(v9) & $i(v8) & % 32.59/5.08 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 32.59/5.08 v1_tsp_2(v9, v0) & m1_subset_1(v9, v7) & m1_subset_1(v9, v2) & % 32.59/5.08 l1_pre_topc(v5) & l1_pre_topc(v0) & ~ v1_tsp_2(v9, v5)) % 32.59/5.08 % 32.59/5.08 (t5_tsp_1) % 32.59/5.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v0) = % 32.59/5.08 v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ % 32.59/5.08 $i(v0) | ~ l1_pre_topc(v0) | ? [v4: $i] : (k1_zfmisc_1(v1) = v4 & $i(v4) & % 32.59/5.08 ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 32.59/5.08 (u1_struct_0(v5) = v6) | ~ (u1_pre_topc(v5) = v7) | ~ (g1_pre_topc(v6, % 32.59/5.08 v7) = v8) | ~ $i(v5) | ~ l1_pre_topc(v5) | ? [v9: $i] : % 32.59/5.08 (k1_zfmisc_1(v6) = v9 & $i(v9) & ! [v10: $i] : ( ~ (v8 = v3) | ~ % 32.59/5.08 $i(v10) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v9) | ~ % 32.59/5.08 m1_subset_1(v10, v4) | v1_tsp_1(v10, v5)))))) % 32.59/5.08 % 32.59/5.08 (function-axioms) % 32.59/5.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 32.59/5.08 (g1_pre_topc(v3, v2) = v1) | ~ (g1_pre_topc(v3, v2) = v0)) & ! [v0: $i] : % 32.59/5.08 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ % 32.59/5.08 (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 32.59/5.08 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! % 32.59/5.08 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_pre_topc(v2) = v1) | ~ % 32.59/5.08 (u1_pre_topc(v2) = v0)) % 32.59/5.08 % 32.59/5.08 Further assumptions not needed in the proof: % 32.59/5.08 -------------------------------------------- % 32.59/5.08 abstractness_v1_pre_topc, antisymmetry_r2_hidden, cc10_membered, cc11_membered, % 32.59/5.08 cc12_membered, cc13_membered, cc14_membered, cc15_membered, cc16_membered, % 32.59/5.08 cc17_membered, cc18_membered, cc19_membered, cc1_membered, cc20_membered, % 32.59/5.08 cc2_membered, cc3_membered, cc4_membered, dt_g1_pre_topc, dt_k1_xboole_0, % 32.59/5.08 dt_k1_zfmisc_1, dt_l1_pre_topc, dt_l1_struct_0, dt_m1_subset_1, dt_u1_struct_0, % 32.59/5.08 existence_l1_pre_topc, existence_l1_struct_0, existence_m1_subset_1, % 32.59/5.08 fc1_subset_1, fc6_membered, rc1_membered, rc1_pre_topc, rc1_subset_1, % 32.59/5.08 rc2_subset_1, reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset, % 32.59/5.08 t5_subset, t6_boole, t7_boole, t8_boole % 32.59/5.08 % 32.59/5.08 Those formulas are unsatisfiable: % 32.59/5.08 --------------------------------- % 32.59/5.08 % 32.59/5.08 Begin of proof % 32.59/5.08 | % 32.59/5.09 | ALPHA: (free_g1_pre_topc) implies: % 32.59/5.09 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 32.59/5.09 | (v3 = v0 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = % 32.59/5.09 | v2) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : % 32.59/5.09 | ? [v6: $i] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & $i(v6) & % 32.59/5.09 | $i(v5) & ~ m1_subset_1(v1, v6))) % 32.59/5.09 | % 32.59/5.09 | ALPHA: (function-axioms) implies: % 32.59/5.09 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.59/5.09 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 32.59/5.09 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.59/5.09 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 32.59/5.09 | % 32.59/5.09 | DELTA: instantiating (t1_tsp_2) with fresh symbols all_50_0, all_50_1, % 32.59/5.09 | all_50_2, all_50_3, all_50_4, all_50_5, all_50_6, all_50_7, all_50_8, % 32.59/5.09 | all_50_9 gives: % 32.59/5.09 | (4) k1_zfmisc_1(all_50_3) = all_50_2 & k1_zfmisc_1(all_50_8) = all_50_7 & % 32.59/5.09 | u1_struct_0(all_50_4) = all_50_3 & u1_struct_0(all_50_9) = all_50_8 & % 32.59/5.09 | u1_pre_topc(all_50_4) = all_50_1 & u1_pre_topc(all_50_9) = all_50_6 & % 32.59/5.09 | g1_pre_topc(all_50_3, all_50_1) = all_50_5 & g1_pre_topc(all_50_8, % 32.59/5.09 | all_50_6) = all_50_5 & $i(all_50_0) & $i(all_50_1) & $i(all_50_2) & % 32.59/5.09 | $i(all_50_3) & $i(all_50_4) & $i(all_50_5) & $i(all_50_6) & % 32.59/5.09 | $i(all_50_7) & $i(all_50_8) & $i(all_50_9) & v1_tsp_2(all_50_0, % 32.59/5.09 | all_50_9) & m1_subset_1(all_50_0, all_50_2) & m1_subset_1(all_50_0, % 32.59/5.09 | all_50_7) & l1_pre_topc(all_50_4) & l1_pre_topc(all_50_9) & ~ % 32.59/5.09 | v1_tsp_2(all_50_0, all_50_4) % 32.59/5.09 | % 32.59/5.09 | ALPHA: (4) implies: % 32.59/5.09 | (5) ~ v1_tsp_2(all_50_0, all_50_4) % 32.59/5.09 | (6) l1_pre_topc(all_50_9) % 32.59/5.09 | (7) l1_pre_topc(all_50_4) % 32.59/5.09 | (8) m1_subset_1(all_50_0, all_50_2) % 32.59/5.09 | (9) v1_tsp_2(all_50_0, all_50_9) % 32.59/5.09 | (10) $i(all_50_9) % 32.59/5.09 | (11) $i(all_50_8) % 32.59/5.09 | (12) $i(all_50_6) % 32.59/5.09 | (13) $i(all_50_4) % 32.59/5.09 | (14) $i(all_50_3) % 32.59/5.09 | (15) $i(all_50_1) % 32.59/5.09 | (16) $i(all_50_0) % 32.59/5.09 | (17) g1_pre_topc(all_50_8, all_50_6) = all_50_5 % 32.59/5.09 | (18) g1_pre_topc(all_50_3, all_50_1) = all_50_5 % 32.59/5.09 | (19) u1_pre_topc(all_50_9) = all_50_6 % 32.59/5.09 | (20) u1_pre_topc(all_50_4) = all_50_1 % 32.59/5.09 | (21) u1_struct_0(all_50_9) = all_50_8 % 32.59/5.09 | (22) u1_struct_0(all_50_4) = all_50_3 % 32.59/5.09 | (23) k1_zfmisc_1(all_50_8) = all_50_7 % 32.59/5.09 | (24) k1_zfmisc_1(all_50_3) = all_50_2 % 32.59/5.09 | % 32.59/5.09 | GROUND_INST: instantiating (1) with all_50_8, all_50_6, all_50_5, all_50_3, % 32.59/5.09 | all_50_1, simplifying with (11), (12), (14), (15), (17), (18) % 32.59/5.09 | gives: % 32.59/5.09 | (25) all_50_3 = all_50_8 | ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = % 32.59/5.09 | v1 & k1_zfmisc_1(all_50_8) = v0 & $i(v1) & $i(v0) & ~ % 32.59/5.09 | m1_subset_1(all_50_6, v1)) % 32.59/5.09 | % 32.59/5.09 | GROUND_INST: instantiating (1) with all_50_3, all_50_1, all_50_5, all_50_8, % 32.59/5.09 | all_50_6, simplifying with (11), (12), (14), (15), (17), (18) % 32.59/5.09 | gives: % 32.59/5.09 | (26) all_50_3 = all_50_8 | ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = % 32.59/5.09 | v1 & k1_zfmisc_1(all_50_3) = v0 & $i(v1) & $i(v0) & ~ % 32.59/5.09 | m1_subset_1(all_50_1, v1)) % 32.59/5.09 | % 32.59/5.09 | GROUND_INST: instantiating (dt_u1_pre_topc) with all_50_9, all_50_6, % 32.59/5.09 | simplifying with (6), (10), (19) gives: % 32.59/5.10 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.59/5.10 | k1_zfmisc_1(v0) = v1 & u1_struct_0(all_50_9) = v0 & $i(v2) & $i(v1) % 32.59/5.10 | & $i(v0) & m1_subset_1(all_50_6, v2)) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (dt_u1_pre_topc) with all_50_4, all_50_1, % 32.59/5.10 | simplifying with (7), (13), (20) gives: % 32.59/5.10 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.59/5.10 | k1_zfmisc_1(v0) = v1 & u1_struct_0(all_50_4) = v0 & $i(v2) & $i(v1) % 32.59/5.10 | & $i(v0) & m1_subset_1(all_50_1, v2)) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (t5_tsp_1) with all_50_9, all_50_8, all_50_6, % 32.59/5.10 | all_50_5, simplifying with (6), (10), (17), (19), (21) gives: % 32.59/5.10 | (29) ? [v0: $i] : (k1_zfmisc_1(all_50_8) = v0 & $i(v0) & ! [v1: $i] : ! % 32.59/5.10 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (u1_struct_0(v1) = v2) | % 32.59/5.10 | ~ (u1_pre_topc(v1) = v3) | ~ (g1_pre_topc(v2, v3) = v4) | ~ % 32.59/5.10 | $i(v1) | ~ l1_pre_topc(v1) | ? [v5: $i] : (k1_zfmisc_1(v2) = v5 % 32.59/5.10 | & $i(v5) & ! [v6: $i] : ( ~ (v4 = all_50_5) | ~ $i(v6) | ~ % 32.59/5.10 | v1_tsp_1(v6, all_50_9) | ~ m1_subset_1(v6, v5) | ~ % 32.59/5.10 | m1_subset_1(v6, v0) | v1_tsp_1(v6, v1))))) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (rc4_tops_1) with all_50_9, all_50_8, simplifying % 32.59/5.10 | with (6), (10), (21) gives: % 32.59/5.10 | (30) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_50_8) = v0 & $i(v1) & % 32.59/5.10 | $i(v0) & v2_tops_1(v1, all_50_9) & v1_xboole_0(v1) & v5_membered(v1) % 32.59/5.10 | & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & % 32.59/5.10 | v1_membered(v1) & m1_subset_1(v1, v0)) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (d4_tsp_2) with all_50_9, all_50_8, simplifying % 32.59/5.10 | with (6), (10), (21) gives: % 32.59/5.10 | (31) ? [v0: $i] : (k1_zfmisc_1(all_50_8) = v0 & $i(v0) & ! [v1: $i] : ! % 32.59/5.10 | [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | ~ r1_tarski(v1, v2) | % 32.59/5.10 | ~ v1_tsp_1(v2, all_50_9) | ~ v1_tsp_2(v1, all_50_9) | ~ % 32.59/5.10 | m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0)) & ! [v1: $i] : ( ~ % 32.59/5.10 | $i(v1) | ~ v1_tsp_1(v1, all_50_9) | ~ m1_subset_1(v1, v0) | % 32.59/5.10 | v1_tsp_2(v1, all_50_9) | ? [v2: $i] : ( ~ (v2 = v1) & $i(v2) & % 32.59/5.10 | r1_tarski(v1, v2) & v1_tsp_1(v2, all_50_9) & m1_subset_1(v2, % 32.59/5.10 | v0))) & ! [v1: $i] : ( ~ $i(v1) | ~ v1_tsp_2(v1, all_50_9) | % 32.59/5.10 | ~ m1_subset_1(v1, v0) | v1_tsp_1(v1, all_50_9))) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (cc2_tops_1) with all_50_9, all_50_8, simplifying % 32.59/5.10 | with (6), (10), (21) gives: % 32.59/5.10 | (32) ? [v0: $i] : (k1_zfmisc_1(all_50_8) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.59/5.10 | $i(v1) | ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | % 32.59/5.10 | v2_tops_1(v1, all_50_9))) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (t5_tsp_1) with all_50_4, all_50_3, all_50_1, % 32.59/5.10 | all_50_5, simplifying with (7), (13), (18), (20), (22) gives: % 32.59/5.10 | (33) ? [v0: $i] : (k1_zfmisc_1(all_50_3) = v0 & $i(v0) & ! [v1: $i] : ! % 32.59/5.10 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (u1_struct_0(v1) = v2) | % 32.59/5.10 | ~ (u1_pre_topc(v1) = v3) | ~ (g1_pre_topc(v2, v3) = v4) | ~ % 32.59/5.10 | $i(v1) | ~ l1_pre_topc(v1) | ? [v5: $i] : (k1_zfmisc_1(v2) = v5 % 32.59/5.10 | & $i(v5) & ! [v6: $i] : ( ~ (v4 = all_50_5) | ~ $i(v6) | ~ % 32.59/5.10 | v1_tsp_1(v6, all_50_4) | ~ m1_subset_1(v6, v5) | ~ % 32.59/5.10 | m1_subset_1(v6, v0) | v1_tsp_1(v6, v1))))) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (rc4_tops_1) with all_50_4, all_50_3, simplifying % 32.59/5.10 | with (7), (13), (22) gives: % 32.59/5.10 | (34) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_50_3) = v0 & $i(v1) & % 32.59/5.10 | $i(v0) & v2_tops_1(v1, all_50_4) & v1_xboole_0(v1) & v5_membered(v1) % 32.59/5.10 | & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & % 32.59/5.10 | v1_membered(v1) & m1_subset_1(v1, v0)) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (d4_tsp_2) with all_50_4, all_50_3, simplifying % 32.59/5.10 | with (7), (13), (22) gives: % 32.59/5.10 | (35) ? [v0: $i] : (k1_zfmisc_1(all_50_3) = v0 & $i(v0) & ! [v1: $i] : ! % 32.59/5.10 | [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | ~ r1_tarski(v1, v2) | % 32.59/5.10 | ~ v1_tsp_1(v2, all_50_4) | ~ v1_tsp_2(v1, all_50_4) | ~ % 32.59/5.10 | m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0)) & ! [v1: $i] : ( ~ % 32.59/5.10 | $i(v1) | ~ v1_tsp_1(v1, all_50_4) | ~ m1_subset_1(v1, v0) | % 32.59/5.10 | v1_tsp_2(v1, all_50_4) | ? [v2: $i] : ( ~ (v2 = v1) & $i(v2) & % 32.59/5.10 | r1_tarski(v1, v2) & v1_tsp_1(v2, all_50_4) & m1_subset_1(v2, % 32.59/5.10 | v0))) & ! [v1: $i] : ( ~ $i(v1) | ~ v1_tsp_2(v1, all_50_4) | % 32.59/5.10 | ~ m1_subset_1(v1, v0) | v1_tsp_1(v1, all_50_4))) % 32.59/5.10 | % 32.59/5.10 | GROUND_INST: instantiating (cc2_tops_1) with all_50_4, all_50_3, simplifying % 32.59/5.10 | with (7), (13), (22) gives: % 32.59/5.11 | (36) ? [v0: $i] : (k1_zfmisc_1(all_50_3) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.59/5.11 | $i(v1) | ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | % 32.59/5.11 | v2_tops_1(v1, all_50_4))) % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (32) with fresh symbol all_62_0 gives: % 32.59/5.11 | (37) k1_zfmisc_1(all_50_8) = all_62_0 & $i(all_62_0) & ! [v0: $i] : ( ~ % 32.59/5.11 | $i(v0) | ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_62_0) | % 32.59/5.11 | v2_tops_1(v0, all_50_9)) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (37) implies: % 32.59/5.11 | (38) k1_zfmisc_1(all_50_8) = all_62_0 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (36) with fresh symbol all_65_0 gives: % 32.59/5.11 | (39) k1_zfmisc_1(all_50_3) = all_65_0 & $i(all_65_0) & ! [v0: $i] : ( ~ % 32.59/5.11 | $i(v0) | ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_65_0) | % 32.59/5.11 | v2_tops_1(v0, all_50_4)) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (39) implies: % 32.59/5.11 | (40) k1_zfmisc_1(all_50_3) = all_65_0 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (28) with fresh symbols all_68_0, all_68_1, all_68_2 % 32.59/5.11 | gives: % 32.59/5.11 | (41) k1_zfmisc_1(all_68_1) = all_68_0 & k1_zfmisc_1(all_68_2) = all_68_1 & % 32.59/5.11 | u1_struct_0(all_50_4) = all_68_2 & $i(all_68_0) & $i(all_68_1) & % 32.59/5.11 | $i(all_68_2) & m1_subset_1(all_50_1, all_68_0) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (41) implies: % 32.59/5.11 | (42) u1_struct_0(all_50_4) = all_68_2 % 32.59/5.11 | (43) k1_zfmisc_1(all_68_2) = all_68_1 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (27) with fresh symbols all_70_0, all_70_1, all_70_2 % 32.59/5.11 | gives: % 32.59/5.11 | (44) k1_zfmisc_1(all_70_1) = all_70_0 & k1_zfmisc_1(all_70_2) = all_70_1 & % 32.59/5.11 | u1_struct_0(all_50_9) = all_70_2 & $i(all_70_0) & $i(all_70_1) & % 32.59/5.11 | $i(all_70_2) & m1_subset_1(all_50_6, all_70_0) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (44) implies: % 32.59/5.11 | (45) m1_subset_1(all_50_6, all_70_0) % 32.59/5.11 | (46) u1_struct_0(all_50_9) = all_70_2 % 32.59/5.11 | (47) k1_zfmisc_1(all_70_2) = all_70_1 % 32.59/5.11 | (48) k1_zfmisc_1(all_70_1) = all_70_0 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (30) with fresh symbols all_72_0, all_72_1 gives: % 32.59/5.11 | (49) k1_zfmisc_1(all_50_8) = all_72_1 & $i(all_72_0) & $i(all_72_1) & % 32.59/5.11 | v2_tops_1(all_72_0, all_50_9) & v1_xboole_0(all_72_0) & % 32.59/5.11 | v5_membered(all_72_0) & v4_membered(all_72_0) & v3_membered(all_72_0) % 32.59/5.11 | & v2_membered(all_72_0) & v1_membered(all_72_0) & % 32.59/5.11 | m1_subset_1(all_72_0, all_72_1) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (49) implies: % 32.59/5.11 | (50) k1_zfmisc_1(all_50_8) = all_72_1 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (34) with fresh symbols all_74_0, all_74_1 gives: % 32.59/5.11 | (51) k1_zfmisc_1(all_50_3) = all_74_1 & $i(all_74_0) & $i(all_74_1) & % 32.59/5.11 | v2_tops_1(all_74_0, all_50_4) & v1_xboole_0(all_74_0) & % 32.59/5.11 | v5_membered(all_74_0) & v4_membered(all_74_0) & v3_membered(all_74_0) % 32.59/5.11 | & v2_membered(all_74_0) & v1_membered(all_74_0) & % 32.59/5.11 | m1_subset_1(all_74_0, all_74_1) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (51) implies: % 32.59/5.11 | (52) k1_zfmisc_1(all_50_3) = all_74_1 % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (33) with fresh symbol all_76_0 gives: % 32.59/5.11 | (53) k1_zfmisc_1(all_50_3) = all_76_0 & $i(all_76_0) & ! [v0: $i] : ! % 32.59/5.11 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ % 32.59/5.11 | (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ $i(v0) | % 32.59/5.11 | ~ l1_pre_topc(v0) | ? [v4: $i] : (k1_zfmisc_1(v1) = v4 & $i(v4) & % 32.59/5.11 | ! [v5: $i] : ( ~ (v3 = all_50_5) | ~ $i(v5) | ~ v1_tsp_1(v5, % 32.59/5.11 | all_50_4) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, % 32.59/5.11 | all_76_0) | v1_tsp_1(v5, v0)))) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (53) implies: % 32.59/5.11 | (54) k1_zfmisc_1(all_50_3) = all_76_0 % 32.59/5.11 | (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 32.59/5.11 | (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ % 32.59/5.11 | (g1_pre_topc(v1, v2) = v3) | ~ $i(v0) | ~ l1_pre_topc(v0) | ? % 32.59/5.11 | [v4: $i] : (k1_zfmisc_1(v1) = v4 & $i(v4) & ! [v5: $i] : ( ~ (v3 = % 32.59/5.11 | all_50_5) | ~ $i(v5) | ~ v1_tsp_1(v5, all_50_4) | ~ % 32.59/5.11 | m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_76_0) | % 32.59/5.11 | v1_tsp_1(v5, v0)))) % 32.59/5.11 | % 32.59/5.11 | GROUND_INST: instantiating (55) with all_50_9, all_50_8, all_50_6, all_50_5, % 32.59/5.11 | simplifying with (6), (10), (17), (19), (21) gives: % 32.59/5.11 | (56) ? [v0: $i] : (k1_zfmisc_1(all_50_8) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.59/5.11 | $i(v1) | ~ v1_tsp_1(v1, all_50_4) | ~ m1_subset_1(v1, v0) | ~ % 32.59/5.11 | m1_subset_1(v1, all_76_0) | v1_tsp_1(v1, all_50_9))) % 32.59/5.11 | % 32.59/5.11 | DELTA: instantiating (29) with fresh symbol all_79_0 gives: % 32.59/5.11 | (57) k1_zfmisc_1(all_50_8) = all_79_0 & $i(all_79_0) & ! [v0: $i] : ! % 32.59/5.11 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ % 32.59/5.11 | (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ $i(v0) | % 32.59/5.11 | ~ l1_pre_topc(v0) | ? [v4: $i] : (k1_zfmisc_1(v1) = v4 & $i(v4) & % 32.59/5.11 | ! [v5: $i] : ( ~ (v3 = all_50_5) | ~ $i(v5) | ~ v1_tsp_1(v5, % 32.59/5.11 | all_50_9) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, % 32.59/5.11 | all_79_0) | v1_tsp_1(v5, v0)))) % 32.59/5.11 | % 32.59/5.11 | ALPHA: (57) implies: % 32.59/5.11 | (58) k1_zfmisc_1(all_50_8) = all_79_0 % 32.59/5.12 | (59) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 32.59/5.12 | (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ % 32.59/5.12 | (g1_pre_topc(v1, v2) = v3) | ~ $i(v0) | ~ l1_pre_topc(v0) | ? % 32.59/5.12 | [v4: $i] : (k1_zfmisc_1(v1) = v4 & $i(v4) & ! [v5: $i] : ( ~ (v3 = % 32.59/5.12 | all_50_5) | ~ $i(v5) | ~ v1_tsp_1(v5, all_50_9) | ~ % 32.59/5.12 | m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_79_0) | % 32.59/5.12 | v1_tsp_1(v5, v0)))) % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (59) with all_50_4, all_50_3, all_50_1, all_50_5, % 32.59/5.12 | simplifying with (7), (13), (18), (20), (22) gives: % 32.59/5.12 | (60) ? [v0: $i] : (k1_zfmisc_1(all_50_3) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.59/5.12 | $i(v1) | ~ v1_tsp_1(v1, all_50_9) | ~ m1_subset_1(v1, v0) | ~ % 32.59/5.12 | m1_subset_1(v1, all_79_0) | v1_tsp_1(v1, all_50_4))) % 32.59/5.12 | % 32.59/5.12 | DELTA: instantiating (35) with fresh symbol all_82_0 gives: % 32.59/5.12 | (61) k1_zfmisc_1(all_50_3) = all_82_0 & $i(all_82_0) & ! [v0: $i] : ! % 32.59/5.12 | [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ r1_tarski(v0, v1) | % 32.59/5.12 | ~ v1_tsp_1(v1, all_50_4) | ~ v1_tsp_2(v0, all_50_4) | ~ % 32.59/5.12 | m1_subset_1(v1, all_82_0) | ~ m1_subset_1(v0, all_82_0)) & ! [v0: % 32.59/5.12 | $i] : ( ~ $i(v0) | ~ v1_tsp_1(v0, all_50_4) | ~ m1_subset_1(v0, % 32.59/5.12 | all_82_0) | v1_tsp_2(v0, all_50_4) | ? [v1: $i] : ( ~ (v1 = v0) & % 32.59/5.12 | $i(v1) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_50_4) & % 32.59/5.12 | m1_subset_1(v1, all_82_0))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.59/5.12 | v1_tsp_2(v0, all_50_4) | ~ m1_subset_1(v0, all_82_0) | v1_tsp_1(v0, % 32.59/5.12 | all_50_4)) % 32.59/5.12 | % 32.59/5.12 | ALPHA: (61) implies: % 32.59/5.12 | (62) k1_zfmisc_1(all_50_3) = all_82_0 % 32.59/5.12 | (63) ! [v0: $i] : ( ~ $i(v0) | ~ v1_tsp_1(v0, all_50_4) | ~ % 32.59/5.12 | m1_subset_1(v0, all_82_0) | v1_tsp_2(v0, all_50_4) | ? [v1: $i] : ( % 32.59/5.12 | ~ (v1 = v0) & $i(v1) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_50_4) % 32.59/5.12 | & m1_subset_1(v1, all_82_0))) % 32.59/5.12 | % 32.59/5.12 | DELTA: instantiating (31) with fresh symbol all_85_0 gives: % 32.59/5.12 | (64) k1_zfmisc_1(all_50_8) = all_85_0 & $i(all_85_0) & ! [v0: $i] : ! % 32.59/5.12 | [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ r1_tarski(v0, v1) | % 32.59/5.12 | ~ v1_tsp_1(v1, all_50_9) | ~ v1_tsp_2(v0, all_50_9) | ~ % 32.59/5.12 | m1_subset_1(v1, all_85_0) | ~ m1_subset_1(v0, all_85_0)) & ! [v0: % 32.59/5.12 | $i] : ( ~ $i(v0) | ~ v1_tsp_1(v0, all_50_9) | ~ m1_subset_1(v0, % 32.59/5.12 | all_85_0) | v1_tsp_2(v0, all_50_9) | ? [v1: $i] : ( ~ (v1 = v0) & % 32.59/5.12 | $i(v1) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_50_9) & % 32.59/5.12 | m1_subset_1(v1, all_85_0))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.59/5.12 | v1_tsp_2(v0, all_50_9) | ~ m1_subset_1(v0, all_85_0) | v1_tsp_1(v0, % 32.59/5.12 | all_50_9)) % 32.59/5.12 | % 32.59/5.12 | ALPHA: (64) implies: % 32.59/5.12 | (65) k1_zfmisc_1(all_50_8) = all_85_0 % 32.59/5.12 | (66) ! [v0: $i] : ( ~ $i(v0) | ~ v1_tsp_2(v0, all_50_9) | ~ % 32.59/5.12 | m1_subset_1(v0, all_85_0) | v1_tsp_1(v0, all_50_9)) % 32.59/5.12 | (67) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ % 32.59/5.12 | r1_tarski(v0, v1) | ~ v1_tsp_1(v1, all_50_9) | ~ v1_tsp_2(v0, % 32.59/5.12 | all_50_9) | ~ m1_subset_1(v1, all_85_0) | ~ m1_subset_1(v0, % 32.59/5.12 | all_85_0)) % 32.59/5.12 | % 32.59/5.12 | DELTA: instantiating (56) with fresh symbol all_88_0 gives: % 32.59/5.12 | (68) k1_zfmisc_1(all_50_8) = all_88_0 & $i(all_88_0) & ! [v0: $i] : ( ~ % 32.59/5.12 | $i(v0) | ~ v1_tsp_1(v0, all_50_4) | ~ m1_subset_1(v0, all_88_0) | % 32.59/5.12 | ~ m1_subset_1(v0, all_76_0) | v1_tsp_1(v0, all_50_9)) % 32.59/5.12 | % 32.59/5.12 | ALPHA: (68) implies: % 32.59/5.12 | (69) k1_zfmisc_1(all_50_8) = all_88_0 % 32.59/5.12 | (70) ! [v0: $i] : ( ~ $i(v0) | ~ v1_tsp_1(v0, all_50_4) | ~ % 32.59/5.12 | m1_subset_1(v0, all_88_0) | ~ m1_subset_1(v0, all_76_0) | % 32.59/5.12 | v1_tsp_1(v0, all_50_9)) % 32.59/5.12 | % 32.59/5.12 | DELTA: instantiating (60) with fresh symbol all_91_0 gives: % 32.59/5.12 | (71) k1_zfmisc_1(all_50_3) = all_91_0 & $i(all_91_0) & ! [v0: $i] : ( ~ % 32.59/5.12 | $i(v0) | ~ v1_tsp_1(v0, all_50_9) | ~ m1_subset_1(v0, all_91_0) | % 32.59/5.12 | ~ m1_subset_1(v0, all_79_0) | v1_tsp_1(v0, all_50_4)) % 32.59/5.12 | % 32.59/5.12 | ALPHA: (71) implies: % 32.59/5.12 | (72) k1_zfmisc_1(all_50_3) = all_91_0 % 32.59/5.12 | (73) ! [v0: $i] : ( ~ $i(v0) | ~ v1_tsp_1(v0, all_50_9) | ~ % 32.59/5.12 | m1_subset_1(v0, all_91_0) | ~ m1_subset_1(v0, all_79_0) | % 32.59/5.12 | v1_tsp_1(v0, all_50_4)) % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (2) with all_50_8, all_70_2, all_50_9, simplifying % 32.59/5.12 | with (21), (46) gives: % 32.59/5.12 | (74) all_70_2 = all_50_8 % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (2) with all_50_3, all_68_2, all_50_4, simplifying % 32.59/5.12 | with (22), (42) gives: % 32.59/5.12 | (75) all_68_2 = all_50_3 % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (3) with all_50_7, all_79_0, all_50_8, simplifying % 32.59/5.12 | with (23), (58) gives: % 32.59/5.12 | (76) all_79_0 = all_50_7 % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (3) with all_72_1, all_79_0, all_50_8, simplifying % 32.59/5.12 | with (50), (58) gives: % 32.59/5.12 | (77) all_79_0 = all_72_1 % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (3) with all_85_0, all_88_0, all_50_8, simplifying % 32.59/5.12 | with (65), (69) gives: % 32.59/5.12 | (78) all_88_0 = all_85_0 % 32.59/5.12 | % 32.59/5.12 | GROUND_INST: instantiating (3) with all_72_1, all_88_0, all_50_8, simplifying % 32.59/5.12 | with (50), (69) gives: % 32.59/5.12 | (79) all_88_0 = all_72_1 % 32.59/5.12 | % 32.59/5.13 | GROUND_INST: instantiating (3) with all_62_0, all_88_0, all_50_8, simplifying % 32.59/5.13 | with (38), (69) gives: % 32.59/5.13 | (80) all_88_0 = all_62_0 % 32.59/5.13 | % 32.59/5.13 | GROUND_INST: instantiating (3) with all_50_2, all_76_0, all_50_3, simplifying % 32.59/5.13 | with (24), (54) gives: % 32.59/5.13 | (81) all_76_0 = all_50_2 % 32.59/5.13 | % 32.59/5.13 | GROUND_INST: instantiating (3) with all_76_0, all_82_0, all_50_3, simplifying % 32.59/5.13 | with (54), (62) gives: % 32.59/5.13 | (82) all_82_0 = all_76_0 % 32.59/5.13 | % 32.59/5.13 | GROUND_INST: instantiating (3) with all_74_1, all_82_0, all_50_3, simplifying % 32.59/5.13 | with (52), (62) gives: % 32.59/5.13 | (83) all_82_0 = all_74_1 % 32.59/5.13 | % 32.59/5.13 | GROUND_INST: instantiating (3) with all_76_0, all_91_0, all_50_3, simplifying % 32.84/5.13 | with (54), (72) gives: % 32.84/5.13 | (84) all_91_0 = all_76_0 % 32.84/5.13 | % 32.84/5.13 | GROUND_INST: instantiating (3) with all_65_0, all_91_0, all_50_3, simplifying % 32.84/5.13 | with (40), (72) gives: % 32.84/5.13 | (85) all_91_0 = all_65_0 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (84), (85) imply: % 32.84/5.13 | (86) all_76_0 = all_65_0 % 32.84/5.13 | % 32.84/5.13 | SIMP: (86) implies: % 32.84/5.13 | (87) all_76_0 = all_65_0 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (78), (80) imply: % 32.84/5.13 | (88) all_85_0 = all_62_0 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (78), (79) imply: % 32.84/5.13 | (89) all_85_0 = all_72_1 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (88), (89) imply: % 32.84/5.13 | (90) all_72_1 = all_62_0 % 32.84/5.13 | % 32.84/5.13 | SIMP: (90) implies: % 32.84/5.13 | (91) all_72_1 = all_62_0 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (82), (83) imply: % 32.84/5.13 | (92) all_76_0 = all_74_1 % 32.84/5.13 | % 32.84/5.13 | SIMP: (92) implies: % 32.84/5.13 | (93) all_76_0 = all_74_1 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (76), (77) imply: % 32.84/5.13 | (94) all_72_1 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | SIMP: (94) implies: % 32.84/5.13 | (95) all_72_1 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (81), (93) imply: % 32.84/5.13 | (96) all_74_1 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (87), (93) imply: % 32.84/5.13 | (97) all_74_1 = all_65_0 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (96), (97) imply: % 32.84/5.13 | (98) all_65_0 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | SIMP: (98) implies: % 32.84/5.13 | (99) all_65_0 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (91), (95) imply: % 32.84/5.13 | (100) all_62_0 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (83), (96) imply: % 32.84/5.13 | (101) all_82_0 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (88), (100) imply: % 32.84/5.13 | (102) all_85_0 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (78), (102) imply: % 32.84/5.13 | (103) all_88_0 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | COMBINE_EQS: (85), (99) imply: % 32.84/5.13 | (104) all_91_0 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | REDUCE: (47), (74) imply: % 32.84/5.13 | (105) k1_zfmisc_1(all_50_8) = all_70_1 % 32.84/5.13 | % 32.84/5.13 | REDUCE: (43), (75) imply: % 32.84/5.13 | (106) k1_zfmisc_1(all_50_3) = all_68_1 % 32.84/5.13 | % 32.84/5.13 | GROUND_INST: instantiating (3) with all_50_7, all_70_1, all_50_8, simplifying % 32.84/5.13 | with (23), (105) gives: % 32.84/5.13 | (107) all_70_1 = all_50_7 % 32.84/5.13 | % 32.84/5.13 | GROUND_INST: instantiating (3) with all_50_2, all_68_1, all_50_3, simplifying % 32.84/5.13 | with (24), (106) gives: % 32.84/5.13 | (108) all_68_1 = all_50_2 % 32.84/5.13 | % 32.84/5.13 | REDUCE: (48), (107) imply: % 32.84/5.13 | (109) k1_zfmisc_1(all_50_7) = all_70_0 % 32.84/5.13 | % 32.84/5.13 | BETA: splitting (26) gives: % 32.84/5.13 | % 32.84/5.13 | Case 1: % 32.84/5.13 | | % 32.84/5.13 | | (110) all_50_3 = all_50_8 % 32.84/5.13 | | % 32.84/5.13 | | REDUCE: (24), (110) imply: % 32.84/5.13 | | (111) k1_zfmisc_1(all_50_8) = all_50_2 % 32.84/5.13 | | % 32.84/5.13 | | GROUND_INST: instantiating (3) with all_50_7, all_50_2, all_50_8, % 32.84/5.13 | | simplifying with (23), (111) gives: % 32.84/5.13 | | (112) all_50_2 = all_50_7 % 32.84/5.13 | | % 32.84/5.13 | | COMBINE_EQS: (81), (112) imply: % 32.84/5.13 | | (113) all_76_0 = all_50_7 % 32.84/5.13 | | % 32.84/5.13 | | COMBINE_EQS: (101), (112) imply: % 32.84/5.13 | | (114) all_82_0 = all_50_7 % 32.84/5.13 | | % 32.84/5.13 | | COMBINE_EQS: (104), (112) imply: % 32.84/5.13 | | (115) all_91_0 = all_50_7 % 32.84/5.13 | | % 32.84/5.13 | | REDUCE: (8), (112) imply: % 32.84/5.13 | | (116) m1_subset_1(all_50_0, all_50_7) % 32.84/5.13 | | % 32.84/5.13 | | GROUND_INST: instantiating (66) with all_50_0, simplifying with (9), (16) % 32.84/5.13 | | gives: % 32.84/5.13 | | (117) ~ m1_subset_1(all_50_0, all_85_0) | v1_tsp_1(all_50_0, all_50_9) % 32.84/5.13 | | % 32.84/5.13 | | BETA: splitting (117) gives: % 32.84/5.13 | | % 32.84/5.13 | | Case 1: % 32.84/5.13 | | | % 32.84/5.13 | | | (118) ~ m1_subset_1(all_50_0, all_85_0) % 32.84/5.13 | | | % 32.84/5.13 | | | REDUCE: (102), (118) imply: % 32.84/5.13 | | | (119) ~ m1_subset_1(all_50_0, all_50_7) % 32.84/5.13 | | | % 32.84/5.13 | | | PRED_UNIFY: (116), (119) imply: % 32.84/5.13 | | | (120) $false % 32.84/5.14 | | | % 32.84/5.14 | | | CLOSE: (120) is inconsistent. % 32.84/5.14 | | | % 32.84/5.14 | | Case 2: % 32.84/5.14 | | | % 32.84/5.14 | | | (121) m1_subset_1(all_50_0, all_85_0) % 32.84/5.14 | | | (122) v1_tsp_1(all_50_0, all_50_9) % 32.84/5.14 | | | % 32.84/5.14 | | | GROUND_INST: instantiating (73) with all_50_0, simplifying with (16), % 32.84/5.14 | | | (122) gives: % 32.84/5.14 | | | (123) ~ m1_subset_1(all_50_0, all_91_0) | ~ m1_subset_1(all_50_0, % 32.84/5.14 | | | all_79_0) | v1_tsp_1(all_50_0, all_50_4) % 32.84/5.14 | | | % 32.84/5.14 | | | BETA: splitting (123) gives: % 32.84/5.14 | | | % 32.84/5.14 | | | Case 1: % 32.84/5.14 | | | | % 32.84/5.14 | | | | (124) ~ m1_subset_1(all_50_0, all_91_0) % 32.84/5.14 | | | | % 32.84/5.14 | | | | REDUCE: (115), (124) imply: % 32.84/5.14 | | | | (125) ~ m1_subset_1(all_50_0, all_50_7) % 32.84/5.14 | | | | % 32.84/5.14 | | | | PRED_UNIFY: (116), (125) imply: % 32.84/5.14 | | | | (126) $false % 32.84/5.14 | | | | % 32.84/5.14 | | | | CLOSE: (126) is inconsistent. % 32.84/5.14 | | | | % 32.84/5.14 | | | Case 2: % 32.84/5.14 | | | | % 32.84/5.14 | | | | (127) m1_subset_1(all_50_0, all_91_0) % 32.84/5.14 | | | | (128) ~ m1_subset_1(all_50_0, all_79_0) | v1_tsp_1(all_50_0, % 32.84/5.14 | | | | all_50_4) % 32.84/5.14 | | | | % 32.84/5.14 | | | | BETA: splitting (128) gives: % 32.84/5.14 | | | | % 32.84/5.14 | | | | Case 1: % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | (129) ~ m1_subset_1(all_50_0, all_79_0) % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | REDUCE: (76), (129) imply: % 32.84/5.14 | | | | | (130) ~ m1_subset_1(all_50_0, all_50_7) % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | PRED_UNIFY: (116), (130) imply: % 32.84/5.14 | | | | | (131) $false % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | CLOSE: (131) is inconsistent. % 32.84/5.14 | | | | | % 32.84/5.14 | | | | Case 2: % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | (132) m1_subset_1(all_50_0, all_79_0) % 32.84/5.14 | | | | | (133) v1_tsp_1(all_50_0, all_50_4) % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | GROUND_INST: instantiating (63) with all_50_0, simplifying with (5), % 32.84/5.14 | | | | | (16), (133) gives: % 32.84/5.14 | | | | | (134) ~ m1_subset_1(all_50_0, all_82_0) | ? [v0: any] : ( ~ (v0 = % 32.84/5.14 | | | | | all_50_0) & $i(v0) & r1_tarski(all_50_0, v0) & % 32.84/5.14 | | | | | v1_tsp_1(v0, all_50_4) & m1_subset_1(v0, all_82_0)) % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | BETA: splitting (134) gives: % 32.84/5.14 | | | | | % 32.84/5.14 | | | | | Case 1: % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | (135) ~ m1_subset_1(all_50_0, all_82_0) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | REDUCE: (114), (135) imply: % 32.84/5.14 | | | | | | (136) ~ m1_subset_1(all_50_0, all_50_7) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | PRED_UNIFY: (116), (136) imply: % 32.84/5.14 | | | | | | (137) $false % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | CLOSE: (137) is inconsistent. % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | Case 2: % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | (138) m1_subset_1(all_50_0, all_82_0) % 32.84/5.14 | | | | | | (139) ? [v0: any] : ( ~ (v0 = all_50_0) & $i(v0) & % 32.84/5.14 | | | | | | r1_tarski(all_50_0, v0) & v1_tsp_1(v0, all_50_4) & % 32.84/5.14 | | | | | | m1_subset_1(v0, all_82_0)) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | DELTA: instantiating (139) with fresh symbol all_290_0 gives: % 32.84/5.14 | | | | | | (140) ~ (all_290_0 = all_50_0) & $i(all_290_0) & % 32.84/5.14 | | | | | | r1_tarski(all_50_0, all_290_0) & v1_tsp_1(all_290_0, % 32.84/5.14 | | | | | | all_50_4) & m1_subset_1(all_290_0, all_82_0) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | ALPHA: (140) implies: % 32.84/5.14 | | | | | | (141) ~ (all_290_0 = all_50_0) % 32.84/5.14 | | | | | | (142) m1_subset_1(all_290_0, all_82_0) % 32.84/5.14 | | | | | | (143) v1_tsp_1(all_290_0, all_50_4) % 32.84/5.14 | | | | | | (144) r1_tarski(all_50_0, all_290_0) % 32.84/5.14 | | | | | | (145) $i(all_290_0) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | REDUCE: (114), (142) imply: % 32.84/5.14 | | | | | | (146) m1_subset_1(all_290_0, all_50_7) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | GROUND_INST: instantiating (70) with all_290_0, simplifying with % 32.84/5.14 | | | | | | (143), (145) gives: % 32.84/5.14 | | | | | | (147) ~ m1_subset_1(all_290_0, all_88_0) | ~ % 32.84/5.14 | | | | | | m1_subset_1(all_290_0, all_76_0) | v1_tsp_1(all_290_0, % 32.84/5.14 | | | | | | all_50_9) % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | BETA: splitting (147) gives: % 32.84/5.14 | | | | | | % 32.84/5.14 | | | | | | Case 1: % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | (148) ~ m1_subset_1(all_290_0, all_88_0) % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | REDUCE: (103), (148) imply: % 32.84/5.14 | | | | | | | (149) ~ m1_subset_1(all_290_0, all_50_7) % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | PRED_UNIFY: (146), (149) imply: % 32.84/5.14 | | | | | | | (150) $false % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | CLOSE: (150) is inconsistent. % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | Case 2: % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | (151) m1_subset_1(all_290_0, all_88_0) % 32.84/5.14 | | | | | | | (152) ~ m1_subset_1(all_290_0, all_76_0) | v1_tsp_1(all_290_0, % 32.84/5.14 | | | | | | | all_50_9) % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | BETA: splitting (152) gives: % 32.84/5.14 | | | | | | | % 32.84/5.14 | | | | | | | Case 1: % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | (153) ~ m1_subset_1(all_290_0, all_76_0) % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | REDUCE: (113), (153) imply: % 32.84/5.14 | | | | | | | | (154) ~ m1_subset_1(all_290_0, all_50_7) % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | PRED_UNIFY: (146), (154) imply: % 32.84/5.14 | | | | | | | | (155) $false % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | CLOSE: (155) is inconsistent. % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | Case 2: % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | (156) m1_subset_1(all_290_0, all_76_0) % 32.84/5.14 | | | | | | | | (157) v1_tsp_1(all_290_0, all_50_9) % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | GROUND_INST: instantiating (67) with all_50_0, all_290_0, % 32.84/5.14 | | | | | | | | simplifying with (9), (16), (144), (145), (157) % 32.84/5.14 | | | | | | | | gives: % 32.84/5.14 | | | | | | | | (158) all_290_0 = all_50_0 | ~ m1_subset_1(all_290_0, % 32.84/5.14 | | | | | | | | all_85_0) | ~ m1_subset_1(all_50_0, all_85_0) % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | BETA: splitting (158) gives: % 32.84/5.14 | | | | | | | | % 32.84/5.14 | | | | | | | | Case 1: % 32.84/5.14 | | | | | | | | | % 32.84/5.14 | | | | | | | | | (159) ~ m1_subset_1(all_290_0, all_85_0) % 32.84/5.14 | | | | | | | | | % 32.84/5.14 | | | | | | | | | REDUCE: (102), (159) imply: % 32.84/5.14 | | | | | | | | | (160) ~ m1_subset_1(all_290_0, all_50_7) % 32.84/5.14 | | | | | | | | | % 32.84/5.14 | | | | | | | | | PRED_UNIFY: (146), (160) imply: % 32.84/5.14 | | | | | | | | | (161) $false % 32.84/5.14 | | | | | | | | | % 32.84/5.14 | | | | | | | | | CLOSE: (161) is inconsistent. % 32.84/5.14 | | | | | | | | | % 32.84/5.14 | | | | | | | | Case 2: % 32.84/5.14 | | | | | | | | | % 32.84/5.15 | | | | | | | | | (162) all_290_0 = all_50_0 | ~ m1_subset_1(all_50_0, % 32.84/5.15 | | | | | | | | | all_85_0) % 32.84/5.15 | | | | | | | | | % 32.84/5.15 | | | | | | | | | BETA: splitting (162) gives: % 32.84/5.15 | | | | | | | | | % 32.84/5.15 | | | | | | | | | Case 1: % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | (163) ~ m1_subset_1(all_50_0, all_85_0) % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | REDUCE: (102), (163) imply: % 32.84/5.15 | | | | | | | | | | (164) ~ m1_subset_1(all_50_0, all_50_7) % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | PRED_UNIFY: (116), (164) imply: % 32.84/5.15 | | | | | | | | | | (165) $false % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | CLOSE: (165) is inconsistent. % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | Case 2: % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | (166) all_290_0 = all_50_0 % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | REDUCE: (141), (166) imply: % 32.84/5.15 | | | | | | | | | | (167) $false % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | | CLOSE: (167) is inconsistent. % 32.84/5.15 | | | | | | | | | | % 32.84/5.15 | | | | | | | | | End of split % 32.84/5.15 | | | | | | | | | % 32.84/5.15 | | | | | | | | End of split % 32.84/5.15 | | | | | | | | % 32.84/5.15 | | | | | | | End of split % 32.84/5.15 | | | | | | | % 32.84/5.15 | | | | | | End of split % 32.84/5.15 | | | | | | % 32.84/5.15 | | | | | End of split % 32.84/5.15 | | | | | % 32.84/5.15 | | | | End of split % 32.84/5.15 | | | | % 32.84/5.15 | | | End of split % 32.84/5.15 | | | % 32.84/5.15 | | End of split % 32.84/5.15 | | % 32.84/5.15 | Case 2: % 32.84/5.15 | | % 32.84/5.15 | | (168) ~ (all_50_3 = all_50_8) % 32.84/5.15 | | % 32.84/5.15 | | BETA: splitting (25) gives: % 32.84/5.15 | | % 32.84/5.15 | | Case 1: % 32.84/5.15 | | | % 32.84/5.15 | | | (169) all_50_3 = all_50_8 % 32.94/5.15 | | | % 32.94/5.15 | | | REDUCE: (168), (169) imply: % 32.94/5.15 | | | (170) $false % 32.94/5.15 | | | % 32.94/5.15 | | | CLOSE: (170) is inconsistent. % 32.94/5.15 | | | % 32.94/5.15 | | Case 2: % 32.94/5.15 | | | % 32.94/5.15 | | | (171) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(v0) = v1 & % 32.94/5.15 | | | k1_zfmisc_1(all_50_8) = v0 & $i(v1) & $i(v0) & ~ % 32.94/5.15 | | | m1_subset_1(all_50_6, v1)) % 32.94/5.15 | | | % 32.94/5.15 | | | DELTA: instantiating (171) with fresh symbols all_120_0, all_120_1 gives: % 32.94/5.15 | | | (172) k1_zfmisc_1(all_120_1) = all_120_0 & k1_zfmisc_1(all_50_8) = % 32.94/5.15 | | | all_120_1 & $i(all_120_0) & $i(all_120_1) & ~ % 32.94/5.15 | | | m1_subset_1(all_50_6, all_120_0) % 32.94/5.15 | | | % 32.94/5.15 | | | ALPHA: (172) implies: % 32.94/5.15 | | | (173) ~ m1_subset_1(all_50_6, all_120_0) % 32.94/5.15 | | | (174) k1_zfmisc_1(all_50_8) = all_120_1 % 32.94/5.15 | | | (175) k1_zfmisc_1(all_120_1) = all_120_0 % 32.94/5.15 | | | % 32.94/5.15 | | | GROUND_INST: instantiating (3) with all_50_7, all_120_1, all_50_8, % 32.94/5.15 | | | simplifying with (23), (174) gives: % 32.94/5.15 | | | (176) all_120_1 = all_50_7 % 32.94/5.15 | | | % 32.94/5.15 | | | REDUCE: (175), (176) imply: % 32.94/5.15 | | | (177) k1_zfmisc_1(all_50_7) = all_120_0 % 32.94/5.15 | | | % 32.94/5.15 | | | GROUND_INST: instantiating (3) with all_70_0, all_120_0, all_50_7, % 32.94/5.15 | | | simplifying with (109), (177) gives: % 32.94/5.15 | | | (178) all_120_0 = all_70_0 % 32.94/5.15 | | | % 32.94/5.15 | | | REDUCE: (173), (178) imply: % 32.94/5.15 | | | (179) ~ m1_subset_1(all_50_6, all_70_0) % 32.94/5.15 | | | % 32.94/5.15 | | | PRED_UNIFY: (45), (179) imply: % 32.94/5.15 | | | (180) $false % 32.94/5.15 | | | % 32.94/5.15 | | | CLOSE: (180) is inconsistent. % 32.94/5.15 | | | % 32.94/5.15 | | End of split % 32.94/5.15 | | % 32.94/5.15 | End of split % 32.94/5.15 | % 32.94/5.15 End of proof % 32.94/5.15 % SZS output end Proof for theBenchmark % 32.94/5.15 % 32.94/5.15 4518ms %------------------------------------------------------------------------------