%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : TOP034+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 : n011.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 05:58:55 EDT 2023 % Result : Theorem 17.74s 3.17s % Output : Proof 32.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : TOP034+1 : TPTP v8.1.2. Released v3.4.0. % 0.08/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.37 % Computer : n011.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Sat Aug 26 23:08:24 EDT 2023 % 0.15/0.37 % CPUTime : % 0.23/0.64 ________ _____ % 0.23/0.64 ___ __ \_________(_)________________________________ % 0.23/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.23/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.23/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.23/0.64 % 0.23/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.23/0.64 (2023-06-19) % 0.23/0.64 % 0.23/0.64 (c) Philipp Rümmer, 2009-2023 % 0.23/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.23/0.64 Amanda Stjerna. % 0.23/0.64 Free software under BSD-3-Clause. % 0.23/0.64 % 0.23/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.23/0.64 % 0.23/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.61/0.65 Running up to 7 provers in parallel. % 0.61/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.61/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.61/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.61/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.61/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.61/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.61/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.63/1.42 Prover 4: Preprocessing ... % 4.63/1.42 Prover 1: Preprocessing ... % 4.87/1.45 Prover 3: Preprocessing ... % 4.87/1.45 Prover 5: Preprocessing ... % 4.87/1.45 Prover 0: Preprocessing ... % 4.87/1.45 Prover 6: Preprocessing ... % 4.87/1.45 Prover 2: Preprocessing ... % 10.26/2.19 Prover 5: Proving ... % 10.26/2.20 Prover 2: Proving ... % 11.28/2.33 Prover 1: Warning: ignoring some quantifiers % 12.10/2.39 Prover 3: Warning: ignoring some quantifiers % 12.10/2.41 Prover 6: Proving ... % 12.10/2.41 Prover 3: Constructing countermodel ... % 12.37/2.43 Prover 1: Constructing countermodel ... % 17.74/3.16 Prover 5: proved (2489ms) % 17.74/3.17 % 17.74/3.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.74/3.17 % 17.74/3.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 17.74/3.17 Prover 3: stopped % 17.74/3.18 Prover 6: stopped % 17.74/3.20 Prover 2: stopped % 18.13/3.21 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.13/3.21 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.13/3.21 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 19.78/3.43 Prover 11: Preprocessing ... % 19.78/3.44 Prover 10: Preprocessing ... % 19.78/3.44 Prover 7: Preprocessing ... % 20.12/3.48 Prover 8: Preprocessing ... % 20.80/3.56 Prover 10: Warning: ignoring some quantifiers % 20.80/3.58 Prover 10: Constructing countermodel ... % 21.14/3.59 Prover 7: Warning: ignoring some quantifiers % 21.14/3.63 Prover 7: Constructing countermodel ... % 21.54/3.65 Prover 4: Warning: ignoring some quantifiers % 22.11/3.75 Prover 4: Constructing countermodel ... % 23.01/3.87 Prover 8: Warning: ignoring some quantifiers % 23.01/3.89 Prover 8: Constructing countermodel ... % 25.41/4.17 Prover 0: Proving ... % 25.41/4.17 Prover 0: stopped % 25.41/4.19 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 26.11/4.27 Prover 13: Preprocessing ... % 27.11/4.45 Prover 13: Warning: ignoring some quantifiers % 27.11/4.48 Prover 13: Constructing countermodel ... % 31.39/4.95 Prover 11: Warning: ignoring some quantifiers % 31.39/4.95 Prover 13: Found proof (size 117) % 31.39/4.95 Prover 13: proved (756ms) % 31.39/4.95 Prover 4: stopped % 31.39/4.95 Prover 8: stopped % 31.39/4.95 Prover 10: stopped % 31.39/4.95 Prover 1: stopped % 31.39/4.96 Prover 7: stopped % 31.73/4.99 Prover 11: Constructing countermodel ... % 31.73/5.02 Prover 11: stopped % 31.73/5.02 % 31.73/5.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 31.73/5.03 % 31.73/5.05 % SZS output start Proof for theBenchmark % 31.73/5.05 Assumptions after simplification: % 31.73/5.05 --------------------------------- % 31.73/5.05 % 31.73/5.05 (cc1_tops_1) % 32.01/5.08 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.08 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.01/5.08 $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ % 32.01/5.08 m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3: $i] : ( ~ $i(v3) | % 32.01/5.08 ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)))) & ! % 32.01/5.08 [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] % 32.01/5.08 : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & % 32.01/5.08 $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ % 32.01/5.08 m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3: $i] : ( ~ $i(v3) | % 32.01/5.08 ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)))) % 32.01/5.08 % 32.01/5.08 (cc2_tops_1) % 32.01/5.09 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.09 l1_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] % 32.01/5.09 : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, % 32.01/5.09 v0)))) & ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ? [v1: $i] : % 32.01/5.09 ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & $i(v1) % 32.01/5.09 & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | % 32.01/5.09 v2_tops_1(v3, v0)))) % 32.01/5.09 % 32.01/5.09 (cc3_tops_1) % 32.01/5.09 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.09 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.01/5.09 $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ % 32.01/5.09 m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! [v0: $i] : ( ~ $i(v0) | % 32.01/5.09 ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : % 32.01/5.09 (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & $i(v1) & ! [v3: $i] % 32.01/5.09 : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, % 32.01/5.09 v0)))) % 32.01/5.09 % 32.01/5.09 (cc4_tops_1) % 32.01/5.09 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.09 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.01/5.09 $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.09 m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) & ! [v0: $i] : ( ~ $i(v0) | % 32.01/5.09 ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : % 32.01/5.09 (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & $i(v1) & ! [v3: $i] % 32.01/5.09 : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.09 v2_tops_1(v3, v0)))) % 32.01/5.09 % 32.01/5.09 (cc5_tops_1) % 32.01/5.10 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.10 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.01/5.10 $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ v2_tops_1(v3, v0) | ~ % 32.01/5.10 v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! % 32.01/5.10 [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] % 32.01/5.10 : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & % 32.01/5.10 $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v2_tops_1(v3, v0) | ~ % 32.01/5.10 v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) % 32.01/5.10 % 32.01/5.10 (cc6_tops_1) % 32.01/5.11 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.11 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : (k1_zfmisc_1(v1) = v2 & % 32.01/5.11 $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.11 v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! % 32.01/5.11 [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3: $i] : ( ~ $i(v3) | % 32.01/5.11 ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.11 v1_xboole_0(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.11 v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! % 32.01/5.11 [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 32.01/5.11 v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.11 v3_membered(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.11 v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! % 32.01/5.11 [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v1_membered(v3)))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.01/5.11 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : % 32.01/5.11 (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & $i(v1) & ! [v3: $i] % 32.01/5.11 : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 32.01/5.11 v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.11 v4_pre_topc(v3, v0)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | % 32.01/5.11 ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! % 32.01/5.11 [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 32.01/5.11 v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.11 v4_membered(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.11 v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! % 32.01/5.11 [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ % 32.01/5.11 m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3: $i] : ( ~ $i(v3) | ~ % 32.01/5.11 v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | % 32.01/5.11 v1_membered(v3)))) % 32.01/5.11 % 32.01/5.11 (d20_borsuk_1) % 32.01/5.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 32.01/5.11 (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ $i(v2) | % 32.01/5.11 ~ $i(v0) | ~ v3_borsuk_1(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ % 32.01/5.11 v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ % 32.01/5.11 m1_pre_topc(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.01/5.11 r1_borsuk_1(v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0: $i] : ! % 32.01/5.11 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ % 32.01/5.11 (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ m1_pre_topc(v2, v0) | ~ % 32.01/5.11 r1_borsuk_1(v0, v2) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.01/5.11 v3_struct_0(v2) | v3_struct_0(v0) | ? [v4: $i] : ($i(v4) & v3_borsuk_1(v4, % 32.01/5.11 v0, v2) & m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, v0, v2) & % 32.01/5.11 v1_funct_2(v4, v1, v3) & v1_funct_1(v4))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.01/5.11 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v1: $i] : % 32.01/5.11 (u1_struct_0(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ % 32.01/5.11 m1_pre_topc(v2, v0) | v3_struct_0(v2) | ? [v3: $i] : ? [v4: $i] : % 32.01/5.11 (u1_struct_0(v2) = v3 & $i(v4) & $i(v3) & ( ~ r1_borsuk_1(v0, v2) | % 32.01/5.11 (v3_borsuk_1(v4, v0, v2) & m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, % 32.01/5.11 v0, v2) & v1_funct_2(v4, v1, v3) & v1_funct_1(v4))) & % 32.01/5.11 (r1_borsuk_1(v0, v2) | ! [v5: $i] : ( ~ $i(v5) | ~ v3_borsuk_1(v5, % 32.01/5.11 v0, v2) | ~ m2_relset_1(v5, v1, v3) | ~ v5_pre_topc(v5, v0, % 32.01/5.11 v2) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_1(v5))))))) % 32.01/5.11 % 32.01/5.11 (rc1_tops_1) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : % 32.01/5.12 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v3_pre_topc(v3, v0) & % 32.01/5.12 m1_subset_1(v3, v2))) & ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ % 32.01/5.12 v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) % 32.01/5.12 = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v3_pre_topc(v3, % 32.01/5.12 v0) & m1_subset_1(v3, v2))) % 32.01/5.12 % 32.01/5.12 (rc2_tops_1) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : % 32.01/5.12 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v4_pre_topc(v3, v0) & % 32.01/5.12 v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0: $i] : ( ~ $i(v0) | % 32.01/5.12 ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: % 32.01/5.12 $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & % 32.01/5.12 $i(v1) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) % 32.01/5.12 % 32.01/5.12 (rc3_tops_1) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2: $i] : ? % 32.01/5.12 [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v4_pre_topc(v3, v0) & % 32.01/5.12 v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0: % 32.01/5.12 $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) % 32.01/5.12 | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.01/5.12 k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v4_pre_topc(v3, v0) & % 32.01/5.12 v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) % 32.01/5.12 % 32.01/5.12 (rc4_tops_1) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) % 32.01/5.12 & $i(v2) & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & % 32.01/5.12 v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & m1_subset_1(v3, v2) % 32.01/5.12 & v1_membered(v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ? % 32.01/5.12 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.01/5.12 k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v2_tops_1(v3, v0) & % 32.01/5.12 v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & % 32.01/5.12 v2_membered(v3) & m1_subset_1(v3, v2) & v1_membered(v3))) % 32.01/5.12 % 32.01/5.12 (rc5_tops_1) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : % 32.01/5.12 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v3_tops_1(v3, v0) & v2_tops_1(v3, % 32.01/5.12 v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & v1_xboole_0(v3) & % 32.01/5.12 v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & % 32.01/5.12 m1_subset_1(v3, v2) & v1_membered(v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: % 32.01/5.12 $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & % 32.01/5.12 $i(v1) & v3_tops_1(v3, v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & % 32.01/5.12 v3_pre_topc(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) % 32.01/5.12 & v3_membered(v3) & v2_membered(v3) & m1_subset_1(v3, v2) & % 32.01/5.12 v1_membered(v3))) % 32.01/5.12 % 32.01/5.12 (rc6_pre_topc) % 32.01/5.12 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.12 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2: $i] : ? [v3: $i] : % 32.01/5.12 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v4_pre_topc(v3, v0) & % 32.01/5.12 m1_subset_1(v3, v2))) & ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ % 32.01/5.12 v2_pre_topc(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) % 32.01/5.12 = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v4_pre_topc(v3, % 32.01/5.12 v0) & m1_subset_1(v3, v2))) % 32.01/5.12 % 32.01/5.12 (rc7_pre_topc) % 32.01/5.13 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 32.01/5.13 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2: $i] : ? % 32.01/5.13 [v3: $i] : (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & v4_pre_topc(v3, v0) & % 32.01/5.13 m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.01/5.13 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v1: $i] : ? % 32.01/5.13 [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & % 32.01/5.13 $i(v3) & $i(v2) & $i(v1) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ % 32.01/5.13 v1_xboole_0(v3))) % 32.01/5.13 % 32.01/5.13 (redefinition_m2_tsp_1) % 32.01/5.13 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_pre_topc(v1, v0) | % 32.01/5.13 ~ l1_pre_topc(v0) | m2_tsp_1(v1, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 32.01/5.13 $i(v1) | ~ $i(v0) | ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) | % 32.01/5.13 m1_pre_topc(v1, v0)) % 32.01/5.13 % 32.01/5.13 (t22_tsp_2) % 32.01/5.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v2) = % 32.01/5.13 v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ m2_tsp_1(v2, % 32.01/5.13 v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.01/5.13 v3_struct_0(v2) | v3_struct_0(v0) | ? [v4: $i] : ($i(v4) & v3_borsuk_1(v4, % 32.01/5.13 v0, v2) & m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, v0, v2) & % 32.01/5.13 v1_funct_2(v4, v1, v3) & v1_funct_1(v4))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.01/5.13 l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v1: $i] : % 32.01/5.13 (u1_struct_0(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ m2_tsp_1(v2, % 32.01/5.13 v0) | ~ v2_tsp_2(v2, v0) | v3_struct_0(v2) | ? [v3: $i] : ? [v4: % 32.01/5.13 $i] : (u1_struct_0(v2) = v3 & $i(v4) & $i(v3) & v3_borsuk_1(v4, v0, % 32.01/5.13 v2) & m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, v0, v2) & % 32.01/5.13 v1_funct_2(v4, v1, v3) & v1_funct_1(v4))))) % 32.01/5.13 % 32.01/5.13 (t23_tsp_2) % 32.01/5.13 ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & m2_tsp_1(v1, v0) & v2_tsp_2(v1, % 32.01/5.13 v0) & l1_pre_topc(v0) & v2_pre_topc(v0) & ~ r1_borsuk_1(v0, v1) & ~ % 32.01/5.13 v3_struct_0(v1) & ~ v3_struct_0(v0)) % 32.01/5.13 % 32.01/5.13 (function-axioms) % 32.01/5.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 32.01/5.13 (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : % 32.01/5.13 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ % 32.01/5.13 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 32.01/5.13 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) % 32.01/5.13 % 32.01/5.13 Further assumptions not needed in the proof: % 32.01/5.13 -------------------------------------------- % 32.01/5.13 antisymmetry_r2_hidden, cc10_membered, cc10_tsp_1, cc10_tsp_2, cc11_membered, % 32.01/5.13 cc11_tsp_1, cc12_membered, cc12_tsp_1, cc13_membered, cc13_tsp_1, cc14_membered, % 32.01/5.13 cc15_membered, cc16_membered, cc17_membered, cc18_membered, cc19_membered, % 32.01/5.13 cc1_membered, cc1_pre_topc, cc1_relset_1, cc1_tsp_1, cc1_tsp_2, cc20_membered, % 32.01/5.13 cc2_membered, cc2_tsp_1, cc2_tsp_2, cc3_membered, cc3_tsp_1, cc3_tsp_2, % 32.01/5.13 cc4_membered, cc4_tsp_1, cc4_tsp_2, cc5_tsp_1, cc5_tsp_2, cc6_tsp_1, cc6_tsp_2, % 32.01/5.13 cc7_tsp_1, cc7_tsp_2, cc8_tsp_1, cc8_tsp_2, cc9_tsp_1, cc9_tsp_2, % 32.01/5.13 dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_l1_pre_topc, dt_l1_struct_0, % 32.01/5.13 dt_m1_pre_topc, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, dt_m2_tsp_1, % 32.01/5.13 dt_u1_struct_0, existence_l1_pre_topc, existence_l1_struct_0, % 32.01/5.13 existence_m1_pre_topc, existence_m1_relset_1, existence_m1_subset_1, % 32.01/5.13 existence_m2_relset_1, existence_m2_tsp_1, fc1_struct_0, fc1_subset_1, % 32.01/5.13 fc4_subset_1, fc6_membered, rc1_membered, rc1_subset_1, rc2_subset_1, % 32.01/5.13 rc3_struct_0, rc5_struct_0, redefinition_m2_relset_1, reflexivity_r1_tarski, % 32.01/5.13 t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, % 32.01/5.13 t8_boole % 32.01/5.13 % 32.01/5.13 Those formulas are unsatisfiable: % 32.01/5.13 --------------------------------- % 32.01/5.13 % 32.01/5.13 Begin of proof % 32.01/5.13 | % 32.01/5.13 | ALPHA: (cc1_tops_1) implies: % 32.01/5.13 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.01/5.13 | [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 % 32.01/5.13 | & $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | % 32.01/5.13 | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3: $i] : ( ~ % 32.01/5.13 | $i(v3) | ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | % 32.01/5.13 | v3_pre_topc(v3, v0)))) % 32.01/5.13 | % 32.01/5.13 | ALPHA: (cc2_tops_1) implies: % 32.01/5.14 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ? [v1: $i] : ? [v2: % 32.01/5.14 | $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v2) & % 32.01/5.14 | $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | ~ % 32.01/5.14 | m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) % 32.01/5.14 | % 32.01/5.14 | ALPHA: (cc3_tops_1) implies: % 32.01/5.14 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.01/5.14 | [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 % 32.01/5.14 | & $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v1_xboole_0(v3) | % 32.01/5.14 | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) % 32.01/5.14 | % 32.01/5.14 | ALPHA: (cc4_tops_1) implies: % 32.01/5.14 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.01/5.14 | [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 % 32.01/5.14 | & $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) % 32.01/5.14 | | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) % 32.01/5.14 | % 32.01/5.14 | ALPHA: (cc5_tops_1) implies: % 32.01/5.14 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.01/5.14 | [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 % 32.01/5.14 | & $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v2_tops_1(v3, v0) % 32.01/5.14 | | ~ v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, % 32.01/5.14 | v0)))) % 32.01/5.14 | % 32.01/5.14 | ALPHA: (cc6_tops_1) implies: % 32.01/5.14 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.01/5.14 | [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 % 32.01/5.14 | & $i(v2) & $i(v1) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) % 32.01/5.14 | | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, % 32.01/5.14 | v0)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, % 32.01/5.14 | v0)) & ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & % 32.01/5.14 | ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & % 32.01/5.14 | ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & % 32.01/5.14 | ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & % 32.01/5.14 | ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & % 32.01/5.14 | ! [v3: $i] : ( ~ $i(v3) | ~ v3_tops_1(v3, v0) | ~ % 32.01/5.14 | v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3)))) % 32.01/5.14 | % 32.01/5.14 | ALPHA: (d20_borsuk_1) implies: % 32.29/5.14 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.14 | v3_struct_0(v0) | ? [v1: $i] : (u1_struct_0(v0) = v1 & $i(v1) & ! % 32.29/5.14 | [v2: $i] : ( ~ $i(v2) | ~ m1_pre_topc(v2, v0) | v3_struct_0(v2) | % 32.29/5.14 | ? [v3: $i] : ? [v4: $i] : (u1_struct_0(v2) = v3 & $i(v4) & % 32.29/5.14 | $i(v3) & ( ~ r1_borsuk_1(v0, v2) | (v3_borsuk_1(v4, v0, v2) & % 32.29/5.14 | m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, v0, v2) & % 32.29/5.14 | v1_funct_2(v4, v1, v3) & v1_funct_1(v4))) & % 32.29/5.14 | (r1_borsuk_1(v0, v2) | ! [v5: $i] : ( ~ $i(v5) | ~ % 32.29/5.14 | v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v3) | ~ % 32.29/5.14 | v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v3) | ~ % 32.29/5.14 | v1_funct_1(v5))))))) % 32.29/5.15 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 32.29/5.15 | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ % 32.29/5.15 | $i(v2) | ~ $i(v0) | ~ v3_borsuk_1(v4, v0, v2) | ~ m2_relset_1(v4, % 32.29/5.15 | v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | % 32.29/5.15 | ~ v1_funct_1(v4) | ~ m1_pre_topc(v2, v0) | ~ l1_pre_topc(v0) | ~ % 32.29/5.15 | v2_pre_topc(v0) | r1_borsuk_1(v0, v2) | v3_struct_0(v2) | % 32.29/5.15 | v3_struct_0(v0)) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc1_tops_1) implies: % 32.29/5.15 | (9) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? % 32.29/5.15 | [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.29/5.15 | k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v3_pre_topc(v3, % 32.29/5.15 | v0) & m1_subset_1(v3, v2))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc2_tops_1) implies: % 32.29/5.15 | (10) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.29/5.15 | k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v4_pre_topc(v3, % 32.29/5.15 | v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc3_tops_1) implies: % 32.29/5.15 | (11) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | v3_struct_0(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 32.29/5.15 | (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & % 32.29/5.15 | $i(v1) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & % 32.29/5.15 | m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc4_tops_1) implies: % 32.29/5.15 | (12) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ? [v1: $i] : ? [v2: % 32.29/5.15 | $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & % 32.29/5.15 | $i(v3) & $i(v2) & $i(v1) & v2_tops_1(v3, v0) & v1_xboole_0(v3) & % 32.29/5.15 | v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & % 32.29/5.15 | v2_membered(v3) & m1_subset_1(v3, v2) & v1_membered(v3))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc5_tops_1) implies: % 32.29/5.15 | (13) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.29/5.15 | k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v3_tops_1(v3, % 32.29/5.15 | v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, % 32.29/5.15 | v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & % 32.29/5.15 | v3_membered(v3) & v2_membered(v3) & m1_subset_1(v3, v2) & % 32.29/5.15 | v1_membered(v3))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc6_pre_topc) implies: % 32.29/5.15 | (14) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v0) = v1 & % 32.29/5.15 | k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & $i(v1) & v4_pre_topc(v3, % 32.29/5.15 | v0) & m1_subset_1(v3, v2))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (rc7_pre_topc) implies: % 32.29/5.15 | (15) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | v3_struct_0(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 32.29/5.15 | (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & % 32.29/5.15 | $i(v1) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ % 32.29/5.15 | v1_xboole_0(v3))) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (redefinition_m2_tsp_1) implies: % 32.29/5.15 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_tsp_1(v1, % 32.29/5.15 | v0) | ~ l1_pre_topc(v0) | m1_pre_topc(v1, v0)) % 32.29/5.15 | % 32.29/5.15 | ALPHA: (t22_tsp_2) implies: % 32.29/5.15 | (17) ! [v0: $i] : ( ~ $i(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | % 32.29/5.15 | v3_struct_0(v0) | ? [v1: $i] : (u1_struct_0(v0) = v1 & $i(v1) & ! % 32.29/5.15 | [v2: $i] : ( ~ $i(v2) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) % 32.29/5.15 | | v3_struct_0(v2) | ? [v3: $i] : ? [v4: $i] : (u1_struct_0(v2) % 32.29/5.15 | = v3 & $i(v4) & $i(v3) & v3_borsuk_1(v4, v0, v2) & % 32.29/5.15 | m2_relset_1(v4, v1, v3) & v5_pre_topc(v4, v0, v2) & % 32.29/5.15 | v1_funct_2(v4, v1, v3) & v1_funct_1(v4))))) % 32.29/5.16 | % 32.29/5.16 | ALPHA: (function-axioms) implies: % 32.29/5.16 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 32.29/5.16 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 32.29/5.16 | % 32.29/5.16 | DELTA: instantiating (t23_tsp_2) with fresh symbols all_97_0, all_97_1 gives: % 32.29/5.16 | (19) $i(all_97_0) & $i(all_97_1) & m2_tsp_1(all_97_0, all_97_1) & % 32.29/5.16 | v2_tsp_2(all_97_0, all_97_1) & l1_pre_topc(all_97_1) & % 32.29/5.16 | v2_pre_topc(all_97_1) & ~ r1_borsuk_1(all_97_1, all_97_0) & ~ % 32.29/5.16 | v3_struct_0(all_97_0) & ~ v3_struct_0(all_97_1) % 32.29/5.16 | % 32.29/5.16 | ALPHA: (19) implies: % 32.29/5.16 | (20) ~ v3_struct_0(all_97_1) % 32.29/5.16 | (21) ~ v3_struct_0(all_97_0) % 32.29/5.16 | (22) ~ r1_borsuk_1(all_97_1, all_97_0) % 32.29/5.16 | (23) v2_pre_topc(all_97_1) % 32.29/5.16 | (24) l1_pre_topc(all_97_1) % 32.29/5.16 | (25) v2_tsp_2(all_97_0, all_97_1) % 32.29/5.16 | (26) m2_tsp_1(all_97_0, all_97_1) % 32.29/5.16 | (27) $i(all_97_1) % 32.29/5.16 | (28) $i(all_97_0) % 32.29/5.16 | % 32.29/5.16 | GROUND_INST: instantiating (11) with all_97_1, simplifying with (20), (23), % 32.29/5.16 | (24), (27) gives: % 32.29/5.16 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.16 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v4_pre_topc(v2, % 32.29/5.16 | all_97_1) & v3_pre_topc(v2, all_97_1) & m1_subset_1(v2, v1) & ~ % 32.29/5.16 | v1_xboole_0(v2)) % 32.29/5.16 | % 32.29/5.16 | GROUND_INST: instantiating (15) with all_97_1, simplifying with (20), (23), % 32.29/5.16 | (24), (27) gives: % 32.29/5.16 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.16 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v4_pre_topc(v2, % 32.29/5.16 | all_97_1) & m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)) % 32.29/5.16 | % 32.29/5.16 | GROUND_INST: instantiating (7) with all_97_1, simplifying with (20), (23), % 32.29/5.16 | (24), (27) gives: % 32.29/5.16 | (31) ? [v0: $i] : (u1_struct_0(all_97_1) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.29/5.16 | $i(v1) | ~ m1_pre_topc(v1, all_97_1) | v3_struct_0(v1) | ? [v2: % 32.29/5.16 | $i] : ? [v3: $i] : (u1_struct_0(v1) = v2 & $i(v3) & $i(v2) & ( % 32.29/5.16 | ~ r1_borsuk_1(all_97_1, v1) | (v3_borsuk_1(v3, all_97_1, v1) & % 32.29/5.16 | m2_relset_1(v3, v0, v2) & v5_pre_topc(v3, all_97_1, v1) & % 32.29/5.16 | v1_funct_2(v3, v0, v2) & v1_funct_1(v3))) & % 32.29/5.16 | (r1_borsuk_1(all_97_1, v1) | ! [v4: $i] : ( ~ $i(v4) | ~ % 32.29/5.16 | v3_borsuk_1(v4, all_97_1, v1) | ~ m2_relset_1(v4, v0, v2) | % 32.29/5.16 | ~ v5_pre_topc(v4, all_97_1, v1) | ~ v1_funct_2(v4, v0, v2) % 32.29/5.16 | | ~ v1_funct_1(v4)))))) % 32.29/5.16 | % 32.29/5.16 | GROUND_INST: instantiating (17) with all_97_1, simplifying with (20), (23), % 32.29/5.16 | (24), (27) gives: % 32.29/5.16 | (32) ? [v0: $i] : (u1_struct_0(all_97_1) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 32.29/5.16 | $i(v1) | ~ m2_tsp_1(v1, all_97_1) | ~ v2_tsp_2(v1, all_97_1) | % 32.29/5.16 | v3_struct_0(v1) | ? [v2: $i] : ? [v3: $i] : (u1_struct_0(v1) = % 32.29/5.16 | v2 & $i(v3) & $i(v2) & v3_borsuk_1(v3, all_97_1, v1) & % 32.29/5.16 | m2_relset_1(v3, v0, v2) & v5_pre_topc(v3, all_97_1, v1) & % 32.29/5.16 | v1_funct_2(v3, v0, v2) & v1_funct_1(v3)))) % 32.29/5.16 | % 32.29/5.16 | GROUND_INST: instantiating (13) with all_97_1, simplifying with (23), (24), % 32.29/5.16 | (27) gives: % 32.29/5.16 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.16 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v3_tops_1(v2, % 32.29/5.16 | all_97_1) & v2_tops_1(v2, all_97_1) & v4_pre_topc(v2, all_97_1) & % 32.29/5.16 | v3_pre_topc(v2, all_97_1) & v1_xboole_0(v2) & v5_membered(v2) & % 32.29/5.17 | v4_membered(v2) & v3_membered(v2) & v2_membered(v2) & % 32.29/5.17 | m1_subset_1(v2, v1) & v1_membered(v2)) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (10) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.17 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v4_pre_topc(v2, % 32.29/5.17 | all_97_1) & v3_pre_topc(v2, all_97_1) & m1_subset_1(v2, v1)) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (14) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.17 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v4_pre_topc(v2, % 32.29/5.17 | all_97_1) & m1_subset_1(v2, v1)) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (9) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.17 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v3_pre_topc(v2, % 32.29/5.17 | all_97_1) & m1_subset_1(v2, v1)) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (6) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (37) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, all_97_1) | ~ % 32.29/5.17 | m1_subset_1(v2, v1) | v2_tops_1(v2, all_97_1)) & ! [v2: $i] : ( ~ % 32.29/5.17 | $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, all_97_1) % 32.29/5.17 | | ~ m1_subset_1(v2, v1) | v4_pre_topc(v2, all_97_1)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v1_xboole_0(v2)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v2: % 32.29/5.17 | $i] : ( ~ $i(v2) | ~ v3_tops_1(v2, all_97_1) | ~ v3_pre_topc(v2, % 32.29/5.17 | all_97_1) | ~ m1_subset_1(v2, v1) | v1_membered(v2))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (4) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (38) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v3_tops_1(v2, all_97_1) | ~ m1_subset_1(v2, v1) | v2_tops_1(v2, % 32.29/5.17 | all_97_1))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (5) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (39) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v2_tops_1(v2, all_97_1) | ~ v4_pre_topc(v2, all_97_1) | ~ % 32.29/5.17 | m1_subset_1(v2, v1) | v3_tops_1(v2, all_97_1))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (3) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (40) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v1_xboole_0(v2) | ~ m1_subset_1(v2, v1) | v3_tops_1(v2, % 32.29/5.17 | all_97_1))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (1) with all_97_1, simplifying with (23), (24), % 32.29/5.17 | (27) gives: % 32.29/5.17 | (41) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v1_xboole_0(v2) | ~ m1_subset_1(v2, v1) | v4_pre_topc(v2, % 32.29/5.17 | all_97_1)) & ! [v2: $i] : ( ~ $i(v2) | ~ v1_xboole_0(v2) | ~ % 32.29/5.17 | m1_subset_1(v2, v1) | v3_pre_topc(v2, all_97_1))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (12) with all_97_1, simplifying with (24), (27) % 32.29/5.17 | gives: % 32.29/5.17 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_97_1) = v0 % 32.29/5.17 | & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & v2_tops_1(v2, % 32.29/5.17 | all_97_1) & v1_xboole_0(v2) & v5_membered(v2) & v4_membered(v2) & % 32.29/5.17 | v3_membered(v2) & v2_membered(v2) & m1_subset_1(v2, v1) & % 32.29/5.17 | v1_membered(v2)) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (2) with all_97_1, simplifying with (24), (27) % 32.29/5.17 | gives: % 32.29/5.17 | (43) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_1) = v0 & % 32.29/5.17 | k1_zfmisc_1(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | % 32.29/5.17 | ~ v1_xboole_0(v2) | ~ m1_subset_1(v2, v1) | v2_tops_1(v2, % 32.29/5.17 | all_97_1))) % 32.29/5.17 | % 32.29/5.17 | GROUND_INST: instantiating (16) with all_97_1, all_97_0, simplifying with % 32.29/5.17 | (24), (26), (27), (28) gives: % 32.29/5.17 | (44) m1_pre_topc(all_97_0, all_97_1) % 32.29/5.17 | % 32.29/5.17 | DELTA: instantiating (36) with fresh symbols all_116_0, all_116_1, all_116_2 % 32.29/5.17 | gives: % 32.29/5.17 | (45) u1_struct_0(all_97_1) = all_116_2 & k1_zfmisc_1(all_116_2) = all_116_1 % 32.29/5.17 | & $i(all_116_0) & $i(all_116_1) & $i(all_116_2) & % 32.29/5.17 | v3_pre_topc(all_116_0, all_97_1) & m1_subset_1(all_116_0, all_116_1) % 32.29/5.17 | % 32.29/5.17 | ALPHA: (45) implies: % 32.29/5.17 | (46) u1_struct_0(all_97_1) = all_116_2 % 32.29/5.17 | % 32.29/5.17 | DELTA: instantiating (35) with fresh symbols all_120_0, all_120_1, all_120_2 % 32.29/5.17 | gives: % 32.29/5.17 | (47) u1_struct_0(all_97_1) = all_120_2 & k1_zfmisc_1(all_120_2) = all_120_1 % 32.29/5.17 | & $i(all_120_0) & $i(all_120_1) & $i(all_120_2) & % 32.29/5.17 | v4_pre_topc(all_120_0, all_97_1) & m1_subset_1(all_120_0, all_120_1) % 32.29/5.17 | % 32.29/5.17 | ALPHA: (47) implies: % 32.29/5.18 | (48) u1_struct_0(all_97_1) = all_120_2 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (40) with fresh symbols all_125_0, all_125_1 gives: % 32.29/5.18 | (49) u1_struct_0(all_97_1) = all_125_1 & k1_zfmisc_1(all_125_1) = all_125_0 % 32.29/5.18 | & $i(all_125_0) & $i(all_125_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.29/5.18 | v1_xboole_0(v0) | ~ m1_subset_1(v0, all_125_0) | v3_tops_1(v0, % 32.29/5.18 | all_97_1)) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (49) implies: % 32.29/5.18 | (50) u1_struct_0(all_97_1) = all_125_1 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (30) with fresh symbols all_128_0, all_128_1, all_128_2 % 32.29/5.18 | gives: % 32.29/5.18 | (51) u1_struct_0(all_97_1) = all_128_2 & k1_zfmisc_1(all_128_2) = all_128_1 % 32.29/5.18 | & $i(all_128_0) & $i(all_128_1) & $i(all_128_2) & % 32.29/5.18 | v4_pre_topc(all_128_0, all_97_1) & m1_subset_1(all_128_0, all_128_1) & % 32.29/5.18 | ~ v1_xboole_0(all_128_0) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (51) implies: % 32.29/5.18 | (52) u1_struct_0(all_97_1) = all_128_2 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (34) with fresh symbols all_130_0, all_130_1, all_130_2 % 32.29/5.18 | gives: % 32.29/5.18 | (53) u1_struct_0(all_97_1) = all_130_2 & k1_zfmisc_1(all_130_2) = all_130_1 % 32.29/5.18 | & $i(all_130_0) & $i(all_130_1) & $i(all_130_2) & % 32.29/5.18 | v4_pre_topc(all_130_0, all_97_1) & v3_pre_topc(all_130_0, all_97_1) & % 32.29/5.18 | m1_subset_1(all_130_0, all_130_1) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (53) implies: % 32.29/5.18 | (54) u1_struct_0(all_97_1) = all_130_2 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (38) with fresh symbols all_132_0, all_132_1 gives: % 32.29/5.18 | (55) u1_struct_0(all_97_1) = all_132_1 & k1_zfmisc_1(all_132_1) = all_132_0 % 32.29/5.18 | & $i(all_132_0) & $i(all_132_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.29/5.18 | v3_tops_1(v0, all_97_1) | ~ m1_subset_1(v0, all_132_0) | % 32.29/5.18 | v2_tops_1(v0, all_97_1)) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (55) implies: % 32.29/5.18 | (56) u1_struct_0(all_97_1) = all_132_1 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (43) with fresh symbols all_135_0, all_135_1 gives: % 32.29/5.18 | (57) u1_struct_0(all_97_1) = all_135_1 & k1_zfmisc_1(all_135_1) = all_135_0 % 32.29/5.18 | & $i(all_135_0) & $i(all_135_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.29/5.18 | v1_xboole_0(v0) | ~ m1_subset_1(v0, all_135_0) | v2_tops_1(v0, % 32.29/5.18 | all_97_1)) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (57) implies: % 32.29/5.18 | (58) u1_struct_0(all_97_1) = all_135_1 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (29) with fresh symbols all_138_0, all_138_1, all_138_2 % 32.29/5.18 | gives: % 32.29/5.18 | (59) u1_struct_0(all_97_1) = all_138_2 & k1_zfmisc_1(all_138_2) = all_138_1 % 32.29/5.18 | & $i(all_138_0) & $i(all_138_1) & $i(all_138_2) & % 32.29/5.18 | v4_pre_topc(all_138_0, all_97_1) & v3_pre_topc(all_138_0, all_97_1) & % 32.29/5.18 | m1_subset_1(all_138_0, all_138_1) & ~ v1_xboole_0(all_138_0) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (59) implies: % 32.29/5.18 | (60) u1_struct_0(all_97_1) = all_138_2 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (39) with fresh symbols all_140_0, all_140_1 gives: % 32.29/5.18 | (61) u1_struct_0(all_97_1) = all_140_1 & k1_zfmisc_1(all_140_1) = all_140_0 % 32.29/5.18 | & $i(all_140_0) & $i(all_140_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.29/5.18 | v2_tops_1(v0, all_97_1) | ~ v4_pre_topc(v0, all_97_1) | ~ % 32.29/5.18 | m1_subset_1(v0, all_140_0) | v3_tops_1(v0, all_97_1)) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (61) implies: % 32.29/5.18 | (62) u1_struct_0(all_97_1) = all_140_1 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (41) with fresh symbols all_143_0, all_143_1 gives: % 32.29/5.18 | (63) u1_struct_0(all_97_1) = all_143_1 & k1_zfmisc_1(all_143_1) = all_143_0 % 32.29/5.18 | & $i(all_143_0) & $i(all_143_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.29/5.18 | v1_xboole_0(v0) | ~ m1_subset_1(v0, all_143_0) | v4_pre_topc(v0, % 32.29/5.18 | all_97_1)) & ! [v0: $i] : ( ~ $i(v0) | ~ v1_xboole_0(v0) | ~ % 32.29/5.18 | m1_subset_1(v0, all_143_0) | v3_pre_topc(v0, all_97_1)) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (63) implies: % 32.29/5.18 | (64) u1_struct_0(all_97_1) = all_143_1 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (42) with fresh symbols all_148_0, all_148_1, all_148_2 % 32.29/5.18 | gives: % 32.29/5.18 | (65) u1_struct_0(all_97_1) = all_148_2 & k1_zfmisc_1(all_148_2) = all_148_1 % 32.29/5.18 | & $i(all_148_0) & $i(all_148_1) & $i(all_148_2) & v2_tops_1(all_148_0, % 32.29/5.18 | all_97_1) & v1_xboole_0(all_148_0) & v5_membered(all_148_0) & % 32.29/5.18 | v4_membered(all_148_0) & v3_membered(all_148_0) & % 32.29/5.18 | v2_membered(all_148_0) & m1_subset_1(all_148_0, all_148_1) & % 32.29/5.18 | v1_membered(all_148_0) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (65) implies: % 32.29/5.18 | (66) u1_struct_0(all_97_1) = all_148_2 % 32.29/5.18 | % 32.29/5.18 | DELTA: instantiating (32) with fresh symbol all_150_0 gives: % 32.29/5.18 | (67) u1_struct_0(all_97_1) = all_150_0 & $i(all_150_0) & ! [v0: $i] : ( ~ % 32.29/5.18 | $i(v0) | ~ m2_tsp_1(v0, all_97_1) | ~ v2_tsp_2(v0, all_97_1) | % 32.29/5.18 | v3_struct_0(v0) | ? [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 % 32.29/5.18 | & $i(v2) & $i(v1) & v3_borsuk_1(v2, all_97_1, v0) & % 32.29/5.18 | m2_relset_1(v2, all_150_0, v1) & v5_pre_topc(v2, all_97_1, v0) & % 32.29/5.18 | v1_funct_2(v2, all_150_0, v1) & v1_funct_1(v2))) % 32.29/5.18 | % 32.29/5.18 | ALPHA: (67) implies: % 32.29/5.18 | (68) u1_struct_0(all_97_1) = all_150_0 % 32.29/5.18 | (69) ! [v0: $i] : ( ~ $i(v0) | ~ m2_tsp_1(v0, all_97_1) | ~ v2_tsp_2(v0, % 32.29/5.18 | all_97_1) | v3_struct_0(v0) | ? [v1: $i] : ? [v2: $i] : % 32.29/5.18 | (u1_struct_0(v0) = v1 & $i(v2) & $i(v1) & v3_borsuk_1(v2, all_97_1, % 32.29/5.18 | v0) & m2_relset_1(v2, all_150_0, v1) & v5_pre_topc(v2, all_97_1, % 32.29/5.18 | v0) & v1_funct_2(v2, all_150_0, v1) & v1_funct_1(v2))) % 32.29/5.18 | % 32.29/5.18 | GROUND_INST: instantiating (69) with all_97_0, simplifying with (21), (25), % 32.29/5.18 | (26), (28) gives: % 32.63/5.18 | (70) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_97_0) = v0 & $i(v1) & % 32.63/5.18 | $i(v0) & v3_borsuk_1(v1, all_97_1, all_97_0) & m2_relset_1(v1, % 32.63/5.18 | all_150_0, v0) & v5_pre_topc(v1, all_97_1, all_97_0) & % 32.63/5.18 | v1_funct_2(v1, all_150_0, v0) & v1_funct_1(v1)) % 32.63/5.18 | % 32.63/5.18 | DELTA: instantiating (33) with fresh symbols all_153_0, all_153_1, all_153_2 % 32.63/5.18 | gives: % 32.63/5.18 | (71) u1_struct_0(all_97_1) = all_153_2 & k1_zfmisc_1(all_153_2) = all_153_1 % 32.63/5.18 | & $i(all_153_0) & $i(all_153_1) & $i(all_153_2) & v3_tops_1(all_153_0, % 32.63/5.18 | all_97_1) & v2_tops_1(all_153_0, all_97_1) & v4_pre_topc(all_153_0, % 32.63/5.18 | all_97_1) & v3_pre_topc(all_153_0, all_97_1) & % 32.63/5.18 | v1_xboole_0(all_153_0) & v5_membered(all_153_0) & % 32.63/5.18 | v4_membered(all_153_0) & v3_membered(all_153_0) & % 32.63/5.18 | v2_membered(all_153_0) & m1_subset_1(all_153_0, all_153_1) & % 32.63/5.18 | v1_membered(all_153_0) % 32.63/5.18 | % 32.63/5.18 | ALPHA: (71) implies: % 32.63/5.18 | (72) u1_struct_0(all_97_1) = all_153_2 % 32.63/5.18 | % 32.63/5.18 | DELTA: instantiating (31) with fresh symbol all_155_0 gives: % 32.63/5.18 | (73) u1_struct_0(all_97_1) = all_155_0 & $i(all_155_0) & ! [v0: $i] : ( ~ % 32.63/5.18 | $i(v0) | ~ m1_pre_topc(v0, all_97_1) | v3_struct_0(v0) | ? [v1: % 32.63/5.18 | $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & $i(v2) & $i(v1) & ( ~ % 32.63/5.18 | r1_borsuk_1(all_97_1, v0) | (v3_borsuk_1(v2, all_97_1, v0) & % 32.63/5.18 | m2_relset_1(v2, all_155_0, v1) & v5_pre_topc(v2, all_97_1, v0) % 32.63/5.18 | & v1_funct_2(v2, all_155_0, v1) & v1_funct_1(v2))) & % 32.63/5.18 | (r1_borsuk_1(all_97_1, v0) | ! [v3: $i] : ( ~ $i(v3) | ~ % 32.63/5.18 | v3_borsuk_1(v3, all_97_1, v0) | ~ m2_relset_1(v3, all_155_0, % 32.63/5.18 | v1) | ~ v5_pre_topc(v3, all_97_1, v0) | ~ v1_funct_2(v3, % 32.63/5.18 | all_155_0, v1) | ~ v1_funct_1(v3))))) % 32.63/5.18 | % 32.63/5.18 | ALPHA: (73) implies: % 32.63/5.18 | (74) u1_struct_0(all_97_1) = all_155_0 % 32.63/5.18 | % 32.63/5.18 | DELTA: instantiating (37) with fresh symbols all_158_0, all_158_1 gives: % 32.63/5.19 | (75) u1_struct_0(all_97_1) = all_158_1 & k1_zfmisc_1(all_158_1) = all_158_0 % 32.63/5.19 | & $i(all_158_0) & $i(all_158_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.63/5.19 | v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, all_97_1) | ~ % 32.63/5.19 | m1_subset_1(v0, all_158_0) | v2_tops_1(v0, all_97_1)) & ! [v0: $i] % 32.63/5.19 | : ( ~ $i(v0) | ~ v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, % 32.63/5.19 | all_97_1) | ~ m1_subset_1(v0, all_158_0) | v4_pre_topc(v0, % 32.63/5.19 | all_97_1)) & ! [v0: $i] : ( ~ $i(v0) | ~ v3_tops_1(v0, all_97_1) % 32.63/5.19 | | ~ v3_pre_topc(v0, all_97_1) | ~ m1_subset_1(v0, all_158_0) | % 32.63/5.19 | v1_xboole_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ v3_tops_1(v0, % 32.63/5.19 | all_97_1) | ~ v3_pre_topc(v0, all_97_1) | ~ m1_subset_1(v0, % 32.63/5.19 | all_158_0) | v5_membered(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 32.63/5.19 | v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, all_97_1) | ~ % 32.63/5.19 | m1_subset_1(v0, all_158_0) | v4_membered(v0)) & ! [v0: $i] : ( ~ % 32.63/5.19 | $i(v0) | ~ v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, all_97_1) | % 32.63/5.19 | ~ m1_subset_1(v0, all_158_0) | v3_membered(v0)) & ! [v0: $i] : ( ~ % 32.63/5.19 | $i(v0) | ~ v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, all_97_1) | % 32.63/5.19 | ~ m1_subset_1(v0, all_158_0) | v2_membered(v0)) & ! [v0: $i] : ( ~ % 32.63/5.19 | $i(v0) | ~ v3_tops_1(v0, all_97_1) | ~ v3_pre_topc(v0, all_97_1) | % 32.63/5.19 | ~ m1_subset_1(v0, all_158_0) | v1_membered(v0)) % 32.63/5.19 | % 32.63/5.19 | ALPHA: (75) implies: % 32.63/5.19 | (76) u1_struct_0(all_97_1) = all_158_1 % 32.63/5.19 | % 32.63/5.19 | DELTA: instantiating (70) with fresh symbols all_161_0, all_161_1 gives: % 32.63/5.19 | (77) u1_struct_0(all_97_0) = all_161_1 & $i(all_161_0) & $i(all_161_1) & % 32.63/5.19 | v3_borsuk_1(all_161_0, all_97_1, all_97_0) & m2_relset_1(all_161_0, % 32.63/5.19 | all_150_0, all_161_1) & v5_pre_topc(all_161_0, all_97_1, all_97_0) & % 32.63/5.19 | v1_funct_2(all_161_0, all_150_0, all_161_1) & v1_funct_1(all_161_0) % 32.63/5.19 | % 32.63/5.19 | ALPHA: (77) implies: % 32.63/5.19 | (78) v1_funct_1(all_161_0) % 32.63/5.19 | (79) v1_funct_2(all_161_0, all_150_0, all_161_1) % 32.63/5.19 | (80) v5_pre_topc(all_161_0, all_97_1, all_97_0) % 32.63/5.19 | (81) m2_relset_1(all_161_0, all_150_0, all_161_1) % 32.63/5.19 | (82) v3_borsuk_1(all_161_0, all_97_1, all_97_0) % 32.63/5.19 | (83) $i(all_161_0) % 32.63/5.19 | (84) u1_struct_0(all_97_0) = all_161_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_130_2, all_132_1, all_97_1, % 32.63/5.19 | simplifying with (54), (56) gives: % 32.63/5.19 | (85) all_132_1 = all_130_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_130_2, all_135_1, all_97_1, % 32.63/5.19 | simplifying with (54), (58) gives: % 32.63/5.19 | (86) all_135_1 = all_130_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_120_2, all_135_1, all_97_1, % 32.63/5.19 | simplifying with (48), (58) gives: % 32.63/5.19 | (87) all_135_1 = all_120_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_130_2, all_143_1, all_97_1, % 32.63/5.19 | simplifying with (54), (64) gives: % 32.63/5.19 | (88) all_143_1 = all_130_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_128_2, all_150_0, all_97_1, % 32.63/5.19 | simplifying with (52), (68) gives: % 32.63/5.19 | (89) all_150_0 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_150_0, all_153_2, all_97_1, % 32.63/5.19 | simplifying with (68), (72) gives: % 32.63/5.19 | (90) all_153_2 = all_150_0 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_148_2, all_153_2, all_97_1, % 32.63/5.19 | simplifying with (66), (72) gives: % 32.63/5.19 | (91) all_153_2 = all_148_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_143_1, all_153_2, all_97_1, % 32.63/5.19 | simplifying with (64), (72) gives: % 32.63/5.19 | (92) all_153_2 = all_143_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_140_1, all_155_0, all_97_1, % 32.63/5.19 | simplifying with (62), (74) gives: % 32.63/5.19 | (93) all_155_0 = all_140_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_138_2, all_155_0, all_97_1, % 32.63/5.19 | simplifying with (60), (74) gives: % 32.63/5.19 | (94) all_155_0 = all_138_2 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_135_1, all_155_0, all_97_1, % 32.63/5.19 | simplifying with (58), (74) gives: % 32.63/5.19 | (95) all_155_0 = all_135_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_125_1, all_155_0, all_97_1, % 32.63/5.19 | simplifying with (50), (74) gives: % 32.63/5.19 | (96) all_155_0 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_132_1, all_158_1, all_97_1, % 32.63/5.19 | simplifying with (56), (76) gives: % 32.63/5.19 | (97) all_158_1 = all_132_1 % 32.63/5.19 | % 32.63/5.19 | GROUND_INST: instantiating (18) with all_116_2, all_158_1, all_97_1, % 32.63/5.19 | simplifying with (46), (76) gives: % 32.63/5.19 | (98) all_158_1 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (97), (98) imply: % 32.63/5.19 | (99) all_132_1 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (99) implies: % 32.63/5.19 | (100) all_132_1 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (93), (96) imply: % 32.63/5.19 | (101) all_140_1 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (93), (95) imply: % 32.63/5.19 | (102) all_140_1 = all_135_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (93), (94) imply: % 32.63/5.19 | (103) all_140_1 = all_138_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (90), (91) imply: % 32.63/5.19 | (104) all_150_0 = all_148_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (104) implies: % 32.63/5.19 | (105) all_150_0 = all_148_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (91), (92) imply: % 32.63/5.19 | (106) all_148_2 = all_143_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (89), (105) imply: % 32.63/5.19 | (107) all_148_2 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (107) implies: % 32.63/5.19 | (108) all_148_2 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (106), (108) imply: % 32.63/5.19 | (109) all_143_1 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (109) implies: % 32.63/5.19 | (110) all_143_1 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (88), (110) imply: % 32.63/5.19 | (111) all_130_2 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (111) implies: % 32.63/5.19 | (112) all_130_2 = all_128_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (101), (103) imply: % 32.63/5.19 | (113) all_138_2 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (102), (103) imply: % 32.63/5.19 | (114) all_138_2 = all_135_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (113), (114) imply: % 32.63/5.19 | (115) all_135_1 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | SIMP: (115) implies: % 32.63/5.19 | (116) all_135_1 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (86), (116) imply: % 32.63/5.19 | (117) all_130_2 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | SIMP: (117) implies: % 32.63/5.19 | (118) all_130_2 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (87), (116) imply: % 32.63/5.19 | (119) all_125_1 = all_120_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (85), (100) imply: % 32.63/5.19 | (120) all_130_2 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | SIMP: (120) implies: % 32.63/5.19 | (121) all_130_2 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (112), (121) imply: % 32.63/5.19 | (122) all_128_2 = all_116_2 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (112), (118) imply: % 32.63/5.19 | (123) all_128_2 = all_125_1 % 32.63/5.19 | % 32.63/5.19 | COMBINE_EQS: (122), (123) imply: % 32.63/5.19 | (124) all_125_1 = all_116_2 % 32.63/5.19 | % 32.63/5.20 | SIMP: (124) implies: % 32.63/5.20 | (125) all_125_1 = all_116_2 % 32.63/5.20 | % 32.63/5.20 | COMBINE_EQS: (119), (125) imply: % 32.63/5.20 | (126) all_120_2 = all_116_2 % 32.63/5.20 | % 32.63/5.20 | SIMP: (126) implies: % 32.63/5.20 | (127) all_120_2 = all_116_2 % 32.63/5.20 | % 32.63/5.20 | COMBINE_EQS: (89), (122) imply: % 32.63/5.20 | (128) all_150_0 = all_116_2 % 32.63/5.20 | % 32.63/5.20 | REDUCE: (81), (128) imply: % 32.63/5.20 | (129) m2_relset_1(all_161_0, all_116_2, all_161_1) % 32.63/5.20 | % 32.63/5.20 | REDUCE: (79), (128) imply: % 32.63/5.20 | (130) v1_funct_2(all_161_0, all_116_2, all_161_1) % 32.63/5.20 | % 32.63/5.20 | GROUND_INST: instantiating (8) with all_97_1, all_116_2, all_97_0, all_161_1, % 32.63/5.20 | all_161_0, simplifying with (20), (21), (22), (23), (24), (27), % 32.63/5.20 | (28), (44), (46), (78), (80), (82), (83), (84), (129), (130) % 32.63/5.20 | gives: % 32.63/5.20 | (131) $false % 32.63/5.20 | % 32.63/5.20 | CLOSE: (131) is inconsistent. % 32.63/5.20 | % 32.63/5.20 End of proof % 32.63/5.20 % SZS output end Proof for theBenchmark % 32.63/5.20 % 32.63/5.20 4557ms %------------------------------------------------------------------------------