%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GRP624+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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 01:12:37 EDT 2023 % Result : Theorem 41.89s 6.26s % Output : Proof 42.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP624+1 : TPTP v8.1.2. Released v3.4.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 23:42:43 EDT 2023 % 0.13/0.34 % CPUTime : % 0.57/0.62 ________ _____ % 0.57/0.62 ___ __ \_________(_)________________________________ % 0.57/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.57/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.57/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.57/0.62 % 0.57/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.57/0.62 (2023-06-19) % 0.57/0.62 % 0.57/0.62 (c) Philipp Rümmer, 2009-2023 % 0.57/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.57/0.62 Amanda Stjerna. % 0.57/0.62 Free software under BSD-3-Clause. % 0.57/0.62 % 0.57/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.57/0.62 % 0.57/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.57/0.63 Running up to 7 provers in parallel. % 0.57/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.57/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.57/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.57/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.57/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.57/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.57/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.06/1.29 Prover 4: Preprocessing ... % 4.06/1.29 Prover 1: Preprocessing ... % 4.06/1.33 Prover 0: Preprocessing ... % 4.06/1.33 Prover 3: Preprocessing ... % 4.06/1.33 Prover 2: Preprocessing ... % 4.06/1.33 Prover 5: Preprocessing ... % 4.06/1.33 Prover 6: Preprocessing ... % 9.81/2.11 Prover 1: Warning: ignoring some quantifiers % 10.64/2.23 Prover 1: Constructing countermodel ... % 11.11/2.25 Prover 5: Proving ... % 11.30/2.27 Prover 3: Warning: ignoring some quantifiers % 11.30/2.27 Prover 2: Proving ... % 11.30/2.30 Prover 3: Constructing countermodel ... % 11.81/2.32 Prover 6: Proving ... % 15.44/2.82 Prover 4: Warning: ignoring some quantifiers % 16.47/2.96 Prover 4: Constructing countermodel ... % 16.94/3.04 Prover 0: Proving ... % 18.26/3.22 Prover 3: gave up % 18.26/3.23 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 19.44/3.33 Prover 7: Preprocessing ... % 20.59/3.49 Prover 1: gave up % 20.59/3.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.08/3.54 Prover 7: Warning: ignoring some quantifiers % 21.26/3.56 Prover 7: Constructing countermodel ... % 21.26/3.61 Prover 8: Preprocessing ... % 22.44/3.79 Prover 8: Warning: ignoring some quantifiers % 23.01/3.80 Prover 8: Constructing countermodel ... % 31.89/4.95 Prover 8: gave up % 31.89/4.95 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 32.12/5.06 Prover 9: Preprocessing ... % 36.69/5.59 Prover 9: Warning: ignoring some quantifiers % 36.69/5.62 Prover 9: Constructing countermodel ... % 41.89/6.26 Prover 7: Found proof (size 176) % 41.89/6.26 Prover 7: proved (3034ms) % 41.89/6.26 Prover 0: stopped % 41.89/6.26 Prover 2: stopped % 41.89/6.26 Prover 5: stopped % 41.89/6.26 Prover 4: stopped % 41.89/6.26 Prover 6: stopped % 41.89/6.26 Prover 9: stopped % 41.89/6.26 % 41.89/6.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.89/6.26 % 41.89/6.28 % SZS output start Proof for theBenchmark % 41.89/6.29 Assumptions after simplification: % 41.89/6.29 --------------------------------- % 41.89/6.29 % 41.89/6.29 (cc5_funct_2) % 41.89/6.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 41.89/6.29 ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | % 41.89/6.29 v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) % 41.89/6.29 % 41.89/6.29 (d2_autgroup) % 42.40/6.33 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.33 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.33 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k2_autgroup(v0) % 42.40/6.33 = v3 & k2_zfmisc_1(v1, v1) = v2 & u1_struct_0(v0) = v4 & $i(v4) & $i(v3) & % 42.40/6.33 $i(v2) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k7_funct_2(v4, v4, % 42.40/6.33 v4, v6, v5) = v7) | ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v3, v2, % 42.40/6.33 v1) | ~ v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ % 42.40/6.33 m2_fraenkel(v6, v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | % 42.40/6.33 (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7 & $i(v7))) & ! [v5: $i] : ! % 42.40/6.33 [v6: $i] : ! [v7: $i] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) | % 42.40/6.33 ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v3, v2, v1) | ~ v1_funct_2(v3, % 42.40/6.33 v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, v4, v4, v1) | ~ % 42.40/6.33 m2_fraenkel(v5, v4, v4, v1) | (k7_funct_2(v4, v4, v4, v6, v5) = v7 & % 42.40/6.33 $i(v7))) & ! [v5: $i] : (v5 = v3 | ~ $i(v5) | ~ m2_relset_1(v5, v2, % 42.40/6.33 v1) | ~ v1_funct_2(v5, v2, v1) | ~ v1_funct_1(v5) | ? [v6: $i] : ? % 42.40/6.33 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v4, % 42.40/6.33 v4, v4, v7, v6) = v9 & k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & % 42.40/6.33 $i(v9) & $i(v8) & $i(v7) & $i(v6) & m2_fraenkel(v7, v4, v4, v1) & % 42.40/6.33 m2_fraenkel(v6, v4, v4, v1))))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 42.40/6.33 (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 42.40/6.33 ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? % 42.40/6.33 [v3: $i] : ? [v4: $i] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & % 42.40/6.33 u1_struct_0(v0) = v4 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: % 42.40/6.33 $i] : ! [v7: $i] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) | ~ % 42.40/6.33 $i(v6) | ~ $i(v5) | ~ $i(v1) | ~ m2_relset_1(v1, v3, v2) | ~ % 42.40/6.33 v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, % 42.40/6.33 v2) | ~ m2_fraenkel(v5, v4, v4, v2) | (k2_binop_1(v2, v2, v2, v1, v5, % 42.40/6.33 v6) = v7 & $i(v7))) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ % 42.40/6.33 (k2_binop_1(v2, v2, v2, v1, v5, v6) = v7) | ~ $i(v6) | ~ $i(v5) | ~ % 42.40/6.33 $i(v1) | ~ m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ % 42.40/6.33 v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, % 42.40/6.33 v4, v2) | (k7_funct_2(v4, v4, v4, v6, v5) = v7 & $i(v7))) & ! [v5: % 42.40/6.33 $i] : (v5 = v1 | ~ $i(v5) | ~ m2_relset_1(v5, v3, v2) | ~ % 42.40/6.33 v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6: $i] : ? [v7: $i] : % 42.40/6.33 ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v4, v4, v4, v7, % 42.40/6.33 v6) = v9 & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & $i(v9) & $i(v8) % 42.40/6.33 & $i(v7) & $i(v6) & m2_fraenkel(v7, v4, v4, v2) & m2_fraenkel(v6, v4, % 42.40/6.33 v4, v2))))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) % 42.40/6.33 | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.33 v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 42.40/6.33 (k1_autgroup(v0) = v2 & k2_autgroup(v0) = v4 & k2_zfmisc_1(v2, v2) = v3 & % 42.40/6.33 $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ % 42.40/6.33 (k7_funct_2(v1, v1, v1, v6, v5) = v7) | ~ $i(v6) | ~ $i(v5) | ~ % 42.40/6.33 m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) % 42.40/6.33 | ~ m2_fraenkel(v6, v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | % 42.40/6.33 (k2_binop_1(v2, v2, v2, v4, v5, v6) = v7 & $i(v7))) & ! [v5: $i] : ! % 42.40/6.33 [v6: $i] : ! [v7: $i] : ( ~ (k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) | % 42.40/6.33 ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v4, v3, v2) | ~ v1_funct_2(v4, % 42.40/6.33 v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, v1, v1, v2) | ~ % 42.40/6.33 m2_fraenkel(v5, v1, v1, v2) | (k7_funct_2(v1, v1, v1, v6, v5) = v7 & % 42.40/6.33 $i(v7))) & ! [v5: $i] : (v5 = v4 | ~ $i(v5) | ~ m2_relset_1(v5, v3, % 42.40/6.33 v2) | ~ v1_funct_2(v5, v3, v2) | ~ v1_funct_1(v5) | ? [v6: $i] : ? % 42.40/6.33 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v1, % 42.40/6.33 v1, v1, v7, v6) = v9 & k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & % 42.40/6.33 $i(v9) & $i(v8) & $i(v7) & $i(v6) & m2_fraenkel(v7, v1, v1, v2) & % 42.40/6.33 m2_fraenkel(v6, v1, v1, v2))))) % 42.40/6.33 % 42.40/6.33 (dt_k1_autgroup) % 42.40/6.33 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.33 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.33 v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & % 42.40/6.33 m1_fraenkel(v1, v2, v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 42.40/6.33 (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 42.40/6.33 ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : % 42.40/6.33 (k1_autgroup(v0) = v2 & $i(v2) & m1_fraenkel(v2, v1, v1))) % 42.40/6.33 % 42.40/6.33 (dt_k2_autgroup) % 42.40/6.33 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.33 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.33 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : (k2_autgroup(v0) = v2 & % 42.40/6.33 k2_zfmisc_1(v1, v1) = v3 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) & % 42.40/6.33 v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : ( % 42.40/6.33 ~ (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) % 42.40/6.33 | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0)) % 42.40/6.33 & ! [v0: $i] : ! [v1: $i] : ( ~ (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.33 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.33 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : (k1_autgroup(v0) = v2 & % 42.40/6.34 k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & m2_relset_1(v1, v3, v2) & % 42.40/6.34 v1_funct_2(v1, v3, v2))) % 42.40/6.34 % 42.40/6.34 (dt_k4_autgroup) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.34 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.34 v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & % 42.40/6.34 m1_fraenkel(v1, v2, v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 42.40/6.34 (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 42.40/6.34 ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : % 42.40/6.34 (k4_autgroup(v0) = v2 & $i(v2) & m1_fraenkel(v2, v1, v1))) % 42.40/6.34 % 42.40/6.34 (dt_l1_group_1) % 42.40/6.34 ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) | l1_struct_0(v0)) % 42.40/6.34 % 42.40/6.34 (dt_m1_fraenkel) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 42.40/6.34 ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) & ! [v0: $i] : ! [v1: $i] % 42.40/6.34 : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_fraenkel(v2, v0, % 42.40/6.34 v1) | v1_fraenkel(v2)) % 42.40/6.34 % 42.40/6.34 (existence_m2_fraenkel) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 42.40/6.34 ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3: $i] : ($i(v3) & % 42.40/6.34 m2_fraenkel(v3, v0, v1, v2))) % 42.40/6.34 % 42.40/6.34 (fc1_struct_0) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.34 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 42.40/6.34 % 42.40/6.34 (redefinition_k2_binop_1) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 42.40/6.34 $i] : ! [v6: $i] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ % 42.40/6.34 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 42.40/6.34 v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | % 42.40/6.34 v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v7: $i] : ? [v8: $i] : ((v8 = v6 & % 42.40/6.34 k1_binop_1(v3, v4, v5) = v6 & $i(v6)) | (k2_zfmisc_1(v0, v1) = v7 & % 42.40/6.34 $i(v7) & ( ~ v1_funct_2(v3, v7, v2) | ~ m1_relset_1(v3, v7, v2))))) % 42.40/6.34 % 42.40/6.34 (redefinition_m2_fraenkel) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 42.40/6.34 | ~ $i(v1) | ~ $i(v0) | ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, % 42.40/6.34 v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2)) & ! [v0: $i] : ! % 42.40/6.34 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 42.40/6.34 $i(v0) | ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | % 42.40/6.34 v1_xboole_0(v1) | m1_subset_1(v3, v2)) % 42.40/6.34 % 42.40/6.34 (redefinition_m2_relset_1) % 42.40/6.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 42.40/6.34 ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0: $i] : ! % 42.40/6.34 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 42.40/6.34 m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) % 42.40/6.34 % 42.40/6.34 (t13_autgroup) % 42.40/6.35 ! [v0: $i] : ! [v1: $i] : ( ~ (k4_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.35 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.35 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : (k1_autgroup(v0) = v3 & % 42.40/6.35 u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & ! [v4: $i] : ( ~ $i(v4) | ~ % 42.40/6.35 m2_fraenkel(v4, v2, v2, v1) | m2_fraenkel(v4, v2, v2, v3)))) & ! [v0: % 42.40/6.35 $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.35 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.35 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : (k4_autgroup(v0) = v3 & % 42.40/6.35 u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & ! [v4: $i] : ( ~ $i(v4) | ~ % 42.40/6.35 m2_fraenkel(v4, v2, v2, v3) | m2_fraenkel(v4, v2, v2, v1)))) & ! [v0: % 42.40/6.35 $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.35 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | % 42.40/6.35 v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : (k4_autgroup(v0) = v2 & % 42.40/6.35 k1_autgroup(v0) = v3 & $i(v3) & $i(v2) & ! [v4: $i] : ( ~ $i(v4) | ~ % 42.40/6.35 m2_fraenkel(v4, v1, v1, v2) | m2_fraenkel(v4, v1, v1, v3)))) % 42.40/6.35 % 42.40/6.35 (t15_autgroup) % 42.40/6.35 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 42.40/6.35 $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & k4_autgroup(v0) = v2 & % 42.40/6.35 k2_autgroup(v0) = v3 & k7_funct_2(v1, v1, v1, v5, v4) = v7 & k1_binop_1(v3, % 42.40/6.35 v4, v5) = v6 & u1_struct_0(v0) = v1 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 42.40/6.35 $i(v3) & $i(v2) & $i(v1) & $i(v0) & m2_fraenkel(v5, v1, v1, v2) & % 42.40/6.35 m2_fraenkel(v4, v1, v1, v2) & l1_group_1(v0) & v4_group_1(v0) & % 42.40/6.35 v3_group_1(v0) & v1_group_1(v0) & ~ v3_struct_0(v0)) % 42.40/6.35 % 42.40/6.35 (function-axioms) % 42.40/6.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 42.40/6.35 $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | ~ (k2_binop_1(v7, v6, v5, v4, % 42.40/6.35 v3, v2) = v1) | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: % 42.40/6.35 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 42.40/6.35 ! [v6: $i] : (v1 = v0 | ~ (k7_funct_2(v6, v5, v4, v3, v2) = v1) | ~ % 42.40/6.35 (k7_funct_2(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 42.40/6.35 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = % 42.40/6.35 v1) | ~ (k1_binop_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 42.40/6.35 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ % 42.40/6.35 (k5_relat_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 42.40/6.35 [v3: $i] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = % 42.40/6.35 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 42.40/6.35 ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0: $i] : % 42.40/6.35 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_tarski(v3, v2) = % 42.40/6.35 v1) | ~ (k2_tarski(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 42.40/6.35 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ % 42.40/6.35 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 42.40/6.35 [v3: $i] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = % 42.40/6.35 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.35 (k4_autgroup(v2) = v1) | ~ (k4_autgroup(v2) = v0)) & ! [v0: $i] : ! [v1: % 42.40/6.35 $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = % 42.40/6.35 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.35 (k1_autgroup(v2) = v1) | ~ (k1_autgroup(v2) = v0)) & ! [v0: $i] : ! [v1: % 42.40/6.35 $i] : ! [v2: $i] : (v1 = v0 | ~ (k2_autgroup(v2) = v1) | ~ % 42.40/6.35 (k2_autgroup(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 42.40/6.35 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! % 42.40/6.35 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ % 42.40/6.35 (u1_group_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 42.40/6.35 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 42.40/6.35 % 42.40/6.35 Further assumptions not needed in the proof: % 42.40/6.35 -------------------------------------------- % 42.40/6.35 abstractness_v1_group_1, antisymmetry_r2_hidden, cc1_fraenkel, cc1_funct_1, % 42.40/6.36 cc1_funct_2, cc1_group_1, cc1_relset_1, cc2_funct_1, cc6_funct_2, % 42.40/6.36 commutativity_k2_tarski, d1_binop_1, d5_tarski, dt_g1_group_1, dt_k1_binop_1, % 42.40/6.36 dt_k1_funct_1, dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_binop_1, % 42.40/6.36 dt_k2_tarski, dt_k2_zfmisc_1, dt_k4_tarski, dt_k5_relat_1, dt_k7_funct_2, % 42.40/6.36 dt_l1_struct_0, dt_m1_relset_1, dt_m1_subset_1, dt_m2_fraenkel, dt_m2_relset_1, % 42.40/6.36 dt_u1_group_1, dt_u1_struct_0, existence_l1_group_1, existence_l1_struct_0, % 42.40/6.36 existence_m1_fraenkel, existence_m1_relset_1, existence_m1_subset_1, % 42.40/6.36 existence_m2_relset_1, fc1_funct_1, fc1_group_1, fc1_xboole_0, free_g1_group_1, % 42.40/6.36 rc1_fraenkel, rc1_funct_1, rc1_funct_2, rc1_group_1, rc1_partfun1, rc1_xboole_0, % 42.40/6.36 rc2_funct_1, rc2_group_1, rc2_partfun1, rc2_xboole_0, rc3_funct_1, rc3_group_1, % 42.40/6.36 rc3_struct_0, rc5_struct_0, redefinition_k7_funct_2, reflexivity_r1_tarski, % 42.40/6.36 t1_subset, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, % 42.40/6.36 t8_boole % 42.40/6.36 % 42.40/6.36 Those formulas are unsatisfiable: % 42.40/6.36 --------------------------------- % 42.40/6.36 % 42.40/6.36 Begin of proof % 42.40/6.36 | % 42.40/6.36 | ALPHA: (d2_autgroup) implies: % 42.40/6.36 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.36 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.36 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? % 42.40/6.36 | [v4: $i] : (k1_autgroup(v0) = v2 & k2_autgroup(v0) = v4 & % 42.40/6.36 | k2_zfmisc_1(v2, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : % 42.40/6.36 | ! [v6: $i] : ! [v7: $i] : ( ~ (k7_funct_2(v1, v1, v1, v6, v5) = % 42.40/6.36 | v7) | ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v4, v3, v2) | ~ % 42.40/6.36 | v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, % 42.40/6.36 | v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | (k2_binop_1(v2, % 42.40/6.36 | v2, v2, v4, v5, v6) = v7 & $i(v7))) & ! [v5: $i] : ! [v6: % 42.40/6.36 | $i] : ! [v7: $i] : ( ~ (k2_binop_1(v2, v2, v2, v4, v5, v6) = v7) % 42.40/6.36 | | ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v4, v3, v2) | ~ % 42.40/6.36 | v1_funct_2(v4, v3, v2) | ~ v1_funct_1(v4) | ~ m2_fraenkel(v6, % 42.40/6.36 | v1, v1, v2) | ~ m2_fraenkel(v5, v1, v1, v2) | (k7_funct_2(v1, % 42.40/6.36 | v1, v1, v6, v5) = v7 & $i(v7))) & ! [v5: $i] : (v5 = v4 | ~ % 42.40/6.36 | $i(v5) | ~ m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | % 42.40/6.36 | ~ v1_funct_1(v5) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 42.40/6.36 | [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v1, v1, v1, v7, v6) = v9 & % 42.40/6.36 | k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & $i(v9) & $i(v8) & % 42.40/6.36 | $i(v7) & $i(v6) & m2_fraenkel(v7, v1, v1, v2) & m2_fraenkel(v6, % 42.40/6.36 | v1, v1, v2))))) % 42.40/6.36 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.36 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.36 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? % 42.40/6.36 | [v4: $i] : (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & % 42.40/6.36 | u1_struct_0(v0) = v4 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! % 42.40/6.37 | [v6: $i] : ! [v7: $i] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) % 42.40/6.37 | | ~ $i(v6) | ~ $i(v5) | ~ $i(v1) | ~ m2_relset_1(v1, v3, v2) % 42.40/6.37 | | ~ v1_funct_2(v1, v3, v2) | ~ v1_funct_1(v1) | ~ % 42.40/6.37 | m2_fraenkel(v6, v4, v4, v2) | ~ m2_fraenkel(v5, v4, v4, v2) | % 42.40/6.37 | (k2_binop_1(v2, v2, v2, v1, v5, v6) = v7 & $i(v7))) & ! [v5: $i] % 42.40/6.37 | : ! [v6: $i] : ! [v7: $i] : ( ~ (k2_binop_1(v2, v2, v2, v1, v5, % 42.40/6.37 | v6) = v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v1) | ~ % 42.40/6.37 | m2_relset_1(v1, v3, v2) | ~ v1_funct_2(v1, v3, v2) | ~ % 42.40/6.37 | v1_funct_1(v1) | ~ m2_fraenkel(v6, v4, v4, v2) | ~ % 42.40/6.37 | m2_fraenkel(v5, v4, v4, v2) | (k7_funct_2(v4, v4, v4, v6, v5) = % 42.40/6.37 | v7 & $i(v7))) & ! [v5: $i] : (v5 = v1 | ~ $i(v5) | ~ % 42.40/6.37 | m2_relset_1(v5, v3, v2) | ~ v1_funct_2(v5, v3, v2) | ~ % 42.40/6.37 | v1_funct_1(v5) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 42.40/6.37 | [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v4, v4, v4, v7, v6) = v9 & % 42.40/6.37 | k2_binop_1(v2, v2, v2, v5, v6, v7) = v8 & $i(v9) & $i(v8) & % 42.40/6.37 | $i(v7) & $i(v6) & m2_fraenkel(v7, v4, v4, v2) & m2_fraenkel(v6, % 42.40/6.37 | v4, v4, v2))))) % 42.40/6.37 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.37 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? % 42.40/6.37 | [v4: $i] : (k2_autgroup(v0) = v3 & k2_zfmisc_1(v1, v1) = v2 & % 42.40/6.37 | u1_struct_0(v0) = v4 & $i(v4) & $i(v3) & $i(v2) & ! [v5: $i] : ! % 42.40/6.37 | [v6: $i] : ! [v7: $i] : ( ~ (k7_funct_2(v4, v4, v4, v6, v5) = v7) % 42.40/6.37 | | ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v3, v2, v1) | ~ % 42.40/6.37 | v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, % 42.40/6.37 | v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | (k2_binop_1(v1, % 42.40/6.37 | v1, v1, v3, v5, v6) = v7 & $i(v7))) & ! [v5: $i] : ! [v6: % 42.40/6.37 | $i] : ! [v7: $i] : ( ~ (k2_binop_1(v1, v1, v1, v3, v5, v6) = v7) % 42.40/6.37 | | ~ $i(v6) | ~ $i(v5) | ~ m2_relset_1(v3, v2, v1) | ~ % 42.40/6.37 | v1_funct_2(v3, v2, v1) | ~ v1_funct_1(v3) | ~ m2_fraenkel(v6, % 42.40/6.37 | v4, v4, v1) | ~ m2_fraenkel(v5, v4, v4, v1) | (k7_funct_2(v4, % 42.40/6.37 | v4, v4, v6, v5) = v7 & $i(v7))) & ! [v5: $i] : (v5 = v3 | ~ % 42.40/6.37 | $i(v5) | ~ m2_relset_1(v5, v2, v1) | ~ v1_funct_2(v5, v2, v1) | % 42.40/6.37 | ~ v1_funct_1(v5) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 42.40/6.37 | [v9: $i] : ( ~ (v9 = v8) & k7_funct_2(v4, v4, v4, v7, v6) = v9 & % 42.40/6.37 | k2_binop_1(v1, v1, v1, v5, v6, v7) = v8 & $i(v9) & $i(v8) & % 42.40/6.37 | $i(v7) & $i(v6) & m2_fraenkel(v7, v4, v4, v1) & m2_fraenkel(v6, % 42.40/6.37 | v4, v4, v1))))) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (dt_k1_autgroup) implies: % 42.40/6.37 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.37 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : (k1_autgroup(v0) = % 42.40/6.37 | v2 & $i(v2) & m1_fraenkel(v2, v1, v1))) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (dt_k2_autgroup) implies: % 42.40/6.37 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.37 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 42.40/6.37 | (k1_autgroup(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & $i(v3) & $i(v2) & % 42.40/6.37 | m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) % 42.40/6.37 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.37 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0)) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (dt_k4_autgroup) implies: % 42.40/6.37 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_autgroup(v0) = v1) | ~ $i(v0) | ~ % 42.40/6.37 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = % 42.40/6.37 | v2 & $i(v2) & m1_fraenkel(v1, v2, v2))) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (dt_m1_fraenkel) implies: % 42.40/6.37 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 42.40/6.37 | $i(v0) | ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (redefinition_m2_fraenkel) implies: % 42.40/6.37 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 42.40/6.37 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m1_fraenkel(v2, v0, v1) | ~ % 42.40/6.37 | m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2)) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (redefinition_m2_relset_1) implies: % 42.40/6.37 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 42.40/6.37 | $i(v0) | ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 42.40/6.37 | % 42.40/6.37 | ALPHA: (t13_autgroup) implies: % 42.40/6.37 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | % 42.40/6.37 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.37 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 42.40/6.37 | (k4_autgroup(v0) = v2 & k1_autgroup(v0) = v3 & $i(v3) & $i(v2) & ! % 42.40/6.38 | [v4: $i] : ( ~ $i(v4) | ~ m2_fraenkel(v4, v1, v1, v2) | % 42.40/6.38 | m2_fraenkel(v4, v1, v1, v3)))) % 42.40/6.38 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_autgroup(v0) = v1) | ~ $i(v0) | % 42.40/6.38 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.38 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 42.40/6.38 | (k4_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & ! % 42.40/6.38 | [v4: $i] : ( ~ $i(v4) | ~ m2_fraenkel(v4, v2, v2, v3) | % 42.40/6.38 | m2_fraenkel(v4, v2, v2, v1)))) % 42.40/6.38 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (k4_autgroup(v0) = v1) | ~ $i(v0) | % 42.40/6.38 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 42.40/6.38 | v1_group_1(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 42.40/6.38 | (k1_autgroup(v0) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) & ! % 42.40/6.38 | [v4: $i] : ( ~ $i(v4) | ~ m2_fraenkel(v4, v2, v2, v1) | % 42.40/6.38 | m2_fraenkel(v4, v2, v2, v3)))) % 42.40/6.38 | % 42.40/6.38 | ALPHA: (function-axioms) implies: % 42.40/6.38 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.38 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 42.40/6.38 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.38 | (k2_autgroup(v2) = v1) | ~ (k2_autgroup(v2) = v0)) % 42.40/6.38 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.38 | (k1_autgroup(v2) = v1) | ~ (k1_autgroup(v2) = v0)) % 42.40/6.38 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 42.40/6.38 | (k4_autgroup(v2) = v1) | ~ (k4_autgroup(v2) = v0)) % 42.40/6.38 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 42.40/6.38 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) % 42.40/6.38 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 42.40/6.38 | (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = v1) | ~ (k1_binop_1(v4, v3, % 42.40/6.38 | v2) = v0)) % 42.40/6.38 | % 42.76/6.38 | DELTA: instantiating (t15_autgroup) with fresh symbols all_82_0, all_82_1, % 42.76/6.38 | all_82_2, all_82_3, all_82_4, all_82_5, all_82_6, all_82_7 gives: % 42.76/6.38 | (20) ~ (all_82_0 = all_82_1) & k4_autgroup(all_82_7) = all_82_5 & % 42.76/6.38 | k2_autgroup(all_82_7) = all_82_4 & k7_funct_2(all_82_6, all_82_6, % 42.76/6.38 | all_82_6, all_82_2, all_82_3) = all_82_0 & k1_binop_1(all_82_4, % 42.76/6.38 | all_82_3, all_82_2) = all_82_1 & u1_struct_0(all_82_7) = all_82_6 & % 42.76/6.38 | $i(all_82_0) & $i(all_82_1) & $i(all_82_2) & $i(all_82_3) & % 42.76/6.38 | $i(all_82_4) & $i(all_82_5) & $i(all_82_6) & $i(all_82_7) & % 42.76/6.38 | m2_fraenkel(all_82_2, all_82_6, all_82_6, all_82_5) & % 42.76/6.38 | m2_fraenkel(all_82_3, all_82_6, all_82_6, all_82_5) & % 42.76/6.38 | l1_group_1(all_82_7) & v4_group_1(all_82_7) & v3_group_1(all_82_7) & % 42.76/6.38 | v1_group_1(all_82_7) & ~ v3_struct_0(all_82_7) % 42.76/6.38 | % 42.76/6.38 | ALPHA: (20) implies: % 42.76/6.38 | (21) ~ (all_82_0 = all_82_1) % 42.76/6.38 | (22) ~ v3_struct_0(all_82_7) % 42.76/6.38 | (23) v1_group_1(all_82_7) % 42.76/6.38 | (24) v3_group_1(all_82_7) % 42.76/6.38 | (25) v4_group_1(all_82_7) % 42.76/6.38 | (26) l1_group_1(all_82_7) % 42.76/6.38 | (27) m2_fraenkel(all_82_3, all_82_6, all_82_6, all_82_5) % 42.76/6.38 | (28) m2_fraenkel(all_82_2, all_82_6, all_82_6, all_82_5) % 42.76/6.38 | (29) $i(all_82_7) % 42.76/6.38 | (30) $i(all_82_3) % 42.76/6.38 | (31) $i(all_82_2) % 42.76/6.38 | (32) u1_struct_0(all_82_7) = all_82_6 % 42.76/6.38 | (33) k1_binop_1(all_82_4, all_82_3, all_82_2) = all_82_1 % 42.76/6.38 | (34) k7_funct_2(all_82_6, all_82_6, all_82_6, all_82_2, all_82_3) = % 42.76/6.38 | all_82_0 % 42.76/6.38 | (35) k2_autgroup(all_82_7) = all_82_4 % 42.76/6.38 | (36) k4_autgroup(all_82_7) = all_82_5 % 42.76/6.38 | % 42.76/6.38 | GROUND_INST: instantiating (dt_l1_group_1) with all_82_7, simplifying with % 42.76/6.38 | (26), (29) gives: % 42.76/6.38 | (37) l1_struct_0(all_82_7) % 42.76/6.38 | % 42.76/6.39 | GROUND_INST: instantiating (1) with all_82_7, all_82_6, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (32) gives: % 42.76/6.39 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_autgroup(all_82_7) = v0 % 42.76/6.39 | & k2_autgroup(all_82_7) = v2 & k2_zfmisc_1(v0, v0) = v1 & $i(v2) & % 42.76/6.39 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 42.76/6.39 | (k7_funct_2(all_82_6, all_82_6, all_82_6, v4, v3) = v5) | ~ % 42.76/6.39 | $i(v4) | ~ $i(v3) | ~ m2_relset_1(v2, v1, v0) | ~ % 42.76/6.39 | v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v2) | ~ m2_fraenkel(v4, % 42.76/6.39 | all_82_6, all_82_6, v0) | ~ m2_fraenkel(v3, all_82_6, all_82_6, % 42.76/6.39 | v0) | (k2_binop_1(v0, v0, v0, v2, v3, v4) = v5 & $i(v5))) & ! % 42.76/6.39 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k2_binop_1(v0, v0, v0, % 42.76/6.39 | v2, v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ m2_relset_1(v2, % 42.76/6.39 | v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v2) | ~ % 42.76/6.39 | m2_fraenkel(v4, all_82_6, all_82_6, v0) | ~ m2_fraenkel(v3, % 42.76/6.39 | all_82_6, all_82_6, v0) | (k7_funct_2(all_82_6, all_82_6, % 42.76/6.39 | all_82_6, v4, v3) = v5 & $i(v5))) & ! [v3: $i] : (v3 = v2 | % 42.76/6.39 | ~ $i(v3) | ~ m2_relset_1(v3, v1, v0) | ~ v1_funct_2(v3, v1, v0) % 42.76/6.39 | | ~ v1_funct_1(v3) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? % 42.76/6.39 | [v7: $i] : ( ~ (v7 = v6) & k7_funct_2(all_82_6, all_82_6, % 42.76/6.39 | all_82_6, v5, v4) = v7 & k2_binop_1(v0, v0, v0, v3, v4, v5) = % 42.76/6.39 | v6 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & m2_fraenkel(v5, % 42.76/6.39 | all_82_6, all_82_6, v0) & m2_fraenkel(v4, all_82_6, all_82_6, % 42.76/6.39 | v0)))) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (11) with all_82_7, all_82_6, simplifying with % 42.76/6.39 | (22), (23), (24), (25), (26), (29), (32) gives: % 42.76/6.39 | (39) ? [v0: $i] : ? [v1: $i] : (k4_autgroup(all_82_7) = v0 & % 42.76/6.39 | k1_autgroup(all_82_7) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ % 42.76/6.39 | $i(v2) | ~ m2_fraenkel(v2, all_82_6, all_82_6, v0) | % 42.76/6.39 | m2_fraenkel(v2, all_82_6, all_82_6, v1))) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (4) with all_82_7, all_82_6, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (32) gives: % 42.76/6.39 | (40) ? [v0: $i] : (k1_autgroup(all_82_7) = v0 & $i(v0) & m1_fraenkel(v0, % 42.76/6.39 | all_82_6, all_82_6)) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (6) with all_82_7, all_82_4, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (35) gives: % 42.76/6.39 | (41) v1_funct_1(all_82_4) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (2) with all_82_7, all_82_4, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (35) gives: % 42.76/6.39 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k1_autgroup(all_82_7) = v0 % 42.76/6.39 | & k2_zfmisc_1(v0, v0) = v1 & u1_struct_0(all_82_7) = v2 & $i(v2) & % 42.76/6.39 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 42.76/6.39 | (k7_funct_2(v2, v2, v2, v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ % 42.76/6.39 | $i(all_82_4) | ~ m2_relset_1(all_82_4, v1, v0) | ~ % 42.76/6.39 | v1_funct_2(all_82_4, v1, v0) | ~ v1_funct_1(all_82_4) | ~ % 42.76/6.39 | m2_fraenkel(v4, v2, v2, v0) | ~ m2_fraenkel(v3, v2, v2, v0) | % 42.76/6.39 | (k2_binop_1(v0, v0, v0, all_82_4, v3, v4) = v5 & $i(v5))) & ! % 42.76/6.39 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k2_binop_1(v0, v0, v0, % 42.76/6.39 | all_82_4, v3, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ % 42.76/6.39 | $i(all_82_4) | ~ m2_relset_1(all_82_4, v1, v0) | ~ % 42.76/6.39 | v1_funct_2(all_82_4, v1, v0) | ~ v1_funct_1(all_82_4) | ~ % 42.76/6.39 | m2_fraenkel(v4, v2, v2, v0) | ~ m2_fraenkel(v3, v2, v2, v0) | % 42.76/6.39 | (k7_funct_2(v2, v2, v2, v4, v3) = v5 & $i(v5))) & ! [v3: any] : % 42.76/6.39 | (v3 = all_82_4 | ~ $i(v3) | ~ m2_relset_1(v3, v1, v0) | ~ % 42.76/6.39 | v1_funct_2(v3, v1, v0) | ~ v1_funct_1(v3) | ? [v4: $i] : ? [v5: % 42.76/6.39 | $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & k7_funct_2(v2, % 42.76/6.39 | v2, v2, v5, v4) = v7 & k2_binop_1(v0, v0, v0, v3, v4, v5) = v6 % 42.76/6.39 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & m2_fraenkel(v5, v2, v2, % 42.76/6.39 | v0) & m2_fraenkel(v4, v2, v2, v0)))) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (5) with all_82_7, all_82_4, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (35) gives: % 42.76/6.39 | (43) ? [v0: $i] : ? [v1: $i] : (k1_autgroup(all_82_7) = v0 & % 42.76/6.39 | k2_zfmisc_1(v0, v0) = v1 & $i(v1) & $i(v0) & m2_relset_1(all_82_4, % 42.76/6.39 | v1, v0) & v1_funct_2(all_82_4, v1, v0)) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (13) with all_82_7, all_82_5, simplifying with % 42.76/6.39 | (22), (23), (24), (25), (26), (29), (36) gives: % 42.76/6.39 | (44) ? [v0: $i] : ? [v1: $i] : (k1_autgroup(all_82_7) = v1 & % 42.76/6.39 | u1_struct_0(all_82_7) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ % 42.76/6.39 | $i(v2) | ~ m2_fraenkel(v2, v0, v0, all_82_5) | m2_fraenkel(v2, % 42.76/6.39 | v0, v0, v1))) % 42.76/6.39 | % 42.76/6.39 | GROUND_INST: instantiating (7) with all_82_7, all_82_5, simplifying with (22), % 42.76/6.39 | (23), (24), (25), (26), (29), (36) gives: % 42.76/6.39 | (45) ? [v0: $i] : (u1_struct_0(all_82_7) = v0 & $i(v0) & % 42.76/6.39 | m1_fraenkel(all_82_5, v0, v0)) % 42.76/6.39 | % 42.76/6.39 | DELTA: instantiating (40) with fresh symbol all_94_0 gives: % 42.76/6.39 | (46) k1_autgroup(all_82_7) = all_94_0 & $i(all_94_0) & % 42.76/6.39 | m1_fraenkel(all_94_0, all_82_6, all_82_6) % 42.76/6.39 | % 42.76/6.39 | ALPHA: (46) implies: % 42.76/6.39 | (47) m1_fraenkel(all_94_0, all_82_6, all_82_6) % 42.76/6.39 | (48) k1_autgroup(all_82_7) = all_94_0 % 42.76/6.39 | % 42.76/6.39 | DELTA: instantiating (45) with fresh symbol all_100_0 gives: % 42.76/6.40 | (49) u1_struct_0(all_82_7) = all_100_0 & $i(all_100_0) & % 42.76/6.40 | m1_fraenkel(all_82_5, all_100_0, all_100_0) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (49) implies: % 42.76/6.40 | (50) $i(all_100_0) % 42.76/6.40 | (51) u1_struct_0(all_82_7) = all_100_0 % 42.76/6.40 | % 42.76/6.40 | DELTA: instantiating (43) with fresh symbols all_102_0, all_102_1 gives: % 42.76/6.40 | (52) k1_autgroup(all_82_7) = all_102_1 & k2_zfmisc_1(all_102_1, all_102_1) % 42.76/6.40 | = all_102_0 & $i(all_102_0) & $i(all_102_1) & m2_relset_1(all_82_4, % 42.76/6.40 | all_102_0, all_102_1) & v1_funct_2(all_82_4, all_102_0, all_102_1) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (52) implies: % 42.76/6.40 | (53) v1_funct_2(all_82_4, all_102_0, all_102_1) % 42.76/6.40 | (54) m2_relset_1(all_82_4, all_102_0, all_102_1) % 42.76/6.40 | (55) $i(all_102_1) % 42.76/6.40 | (56) k2_zfmisc_1(all_102_1, all_102_1) = all_102_0 % 42.76/6.40 | (57) k1_autgroup(all_82_7) = all_102_1 % 42.76/6.40 | % 42.76/6.40 | DELTA: instantiating (44) with fresh symbols all_104_0, all_104_1 gives: % 42.76/6.40 | (58) k1_autgroup(all_82_7) = all_104_0 & u1_struct_0(all_82_7) = all_104_1 % 42.76/6.40 | & $i(all_104_0) & $i(all_104_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 42.76/6.40 | m2_fraenkel(v0, all_104_1, all_104_1, all_82_5) | m2_fraenkel(v0, % 42.76/6.40 | all_104_1, all_104_1, all_104_0)) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (58) implies: % 42.76/6.40 | (59) u1_struct_0(all_82_7) = all_104_1 % 42.76/6.40 | (60) k1_autgroup(all_82_7) = all_104_0 % 42.76/6.40 | % 42.76/6.40 | DELTA: instantiating (39) with fresh symbols all_109_0, all_109_1 gives: % 42.76/6.40 | (61) k4_autgroup(all_82_7) = all_109_1 & k1_autgroup(all_82_7) = all_109_0 % 42.76/6.40 | & $i(all_109_0) & $i(all_109_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 42.76/6.40 | m2_fraenkel(v0, all_82_6, all_82_6, all_109_1) | m2_fraenkel(v0, % 42.76/6.40 | all_82_6, all_82_6, all_109_0)) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (61) implies: % 42.76/6.40 | (62) k1_autgroup(all_82_7) = all_109_0 % 42.76/6.40 | (63) k4_autgroup(all_82_7) = all_109_1 % 42.76/6.40 | (64) ! [v0: $i] : ( ~ $i(v0) | ~ m2_fraenkel(v0, all_82_6, all_82_6, % 42.76/6.40 | all_109_1) | m2_fraenkel(v0, all_82_6, all_82_6, all_109_0)) % 42.76/6.40 | % 42.76/6.40 | GROUND_INST: instantiating (64) with all_82_3, simplifying with (30) gives: % 42.76/6.40 | (65) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_109_1) | % 42.76/6.40 | m2_fraenkel(all_82_3, all_82_6, all_82_6, all_109_0) % 42.76/6.40 | % 42.76/6.40 | GROUND_INST: instantiating (64) with all_82_2, simplifying with (31) gives: % 42.76/6.40 | (66) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_109_1) | % 42.76/6.40 | m2_fraenkel(all_82_2, all_82_6, all_82_6, all_109_0) % 42.76/6.40 | % 42.76/6.40 | DELTA: instantiating (38) with fresh symbols all_112_0, all_112_1, all_112_2 % 42.76/6.40 | gives: % 42.76/6.40 | (67) k1_autgroup(all_82_7) = all_112_2 & k2_autgroup(all_82_7) = all_112_0 % 42.76/6.40 | & k2_zfmisc_1(all_112_2, all_112_2) = all_112_1 & $i(all_112_0) & % 42.76/6.40 | $i(all_112_1) & $i(all_112_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 42.76/6.40 | $i] : ( ~ (k7_funct_2(all_82_6, all_82_6, all_82_6, v1, v0) = v2) | % 42.76/6.40 | ~ $i(v1) | ~ $i(v0) | ~ m2_relset_1(all_112_0, all_112_1, % 42.76/6.40 | all_112_2) | ~ v1_funct_2(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.40 | v1_funct_1(all_112_0) | ~ m2_fraenkel(v1, all_82_6, all_82_6, % 42.76/6.40 | all_112_2) | ~ m2_fraenkel(v0, all_82_6, all_82_6, all_112_2) | % 42.76/6.40 | (k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, v0, v1) = v2 % 42.76/6.40 | & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 42.76/6.40 | (k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, v0, v1) = % 42.76/6.40 | v2) | ~ $i(v1) | ~ $i(v0) | ~ m2_relset_1(all_112_0, all_112_1, % 42.76/6.40 | all_112_2) | ~ v1_funct_2(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.40 | v1_funct_1(all_112_0) | ~ m2_fraenkel(v1, all_82_6, all_82_6, % 42.76/6.40 | all_112_2) | ~ m2_fraenkel(v0, all_82_6, all_82_6, all_112_2) | % 42.76/6.40 | (k7_funct_2(all_82_6, all_82_6, all_82_6, v1, v0) = v2 & $i(v2))) & % 42.76/6.40 | ! [v0: any] : (v0 = all_112_0 | ~ $i(v0) | ~ m2_relset_1(v0, % 42.76/6.40 | all_112_1, all_112_2) | ~ v1_funct_2(v0, all_112_1, all_112_2) | % 42.76/6.40 | ~ v1_funct_1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 42.76/6.40 | $i] : ( ~ (v4 = v3) & k7_funct_2(all_82_6, all_82_6, all_82_6, v2, % 42.76/6.40 | v1) = v4 & k2_binop_1(all_112_2, all_112_2, all_112_2, v0, v1, % 42.76/6.40 | v2) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & m2_fraenkel(v2, % 42.76/6.40 | all_82_6, all_82_6, all_112_2) & m2_fraenkel(v1, all_82_6, % 42.76/6.40 | all_82_6, all_112_2))) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (67) implies: % 42.76/6.40 | (68) $i(all_112_1) % 42.76/6.40 | (69) $i(all_112_0) % 42.76/6.40 | (70) k2_zfmisc_1(all_112_2, all_112_2) = all_112_1 % 42.76/6.40 | (71) k2_autgroup(all_82_7) = all_112_0 % 42.76/6.40 | (72) k1_autgroup(all_82_7) = all_112_2 % 42.76/6.40 | (73) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k7_funct_2(all_82_6, % 42.76/6.40 | all_82_6, all_82_6, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 42.76/6.40 | m2_relset_1(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.40 | v1_funct_2(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.40 | v1_funct_1(all_112_0) | ~ m2_fraenkel(v1, all_82_6, all_82_6, % 42.76/6.40 | all_112_2) | ~ m2_fraenkel(v0, all_82_6, all_82_6, all_112_2) | % 42.76/6.40 | (k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, v0, v1) = v2 % 42.76/6.40 | & $i(v2))) % 42.76/6.40 | % 42.76/6.40 | DELTA: instantiating (42) with fresh symbols all_115_0, all_115_1, all_115_2 % 42.76/6.40 | gives: % 42.76/6.40 | (74) k1_autgroup(all_82_7) = all_115_2 & k2_zfmisc_1(all_115_2, all_115_2) % 42.76/6.40 | = all_115_1 & u1_struct_0(all_82_7) = all_115_0 & $i(all_115_0) & % 42.76/6.40 | $i(all_115_1) & $i(all_115_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 42.76/6.40 | $i] : ( ~ (k7_funct_2(all_115_0, all_115_0, all_115_0, v1, v0) = v2) % 42.76/6.40 | | ~ $i(v1) | ~ $i(v0) | ~ $i(all_82_4) | ~ m2_relset_1(all_82_4, % 42.76/6.40 | all_115_1, all_115_2) | ~ v1_funct_2(all_82_4, all_115_1, % 42.76/6.40 | all_115_2) | ~ v1_funct_1(all_82_4) | ~ m2_fraenkel(v1, % 42.76/6.40 | all_115_0, all_115_0, all_115_2) | ~ m2_fraenkel(v0, all_115_0, % 42.76/6.40 | all_115_0, all_115_2) | (k2_binop_1(all_115_2, all_115_2, % 42.76/6.40 | all_115_2, all_82_4, v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! % 42.76/6.40 | [v1: $i] : ! [v2: $i] : ( ~ (k2_binop_1(all_115_2, all_115_2, % 42.76/6.40 | all_115_2, all_82_4, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 42.76/6.40 | $i(all_82_4) | ~ m2_relset_1(all_82_4, all_115_1, all_115_2) | ~ % 42.76/6.40 | v1_funct_2(all_82_4, all_115_1, all_115_2) | ~ v1_funct_1(all_82_4) % 42.76/6.40 | | ~ m2_fraenkel(v1, all_115_0, all_115_0, all_115_2) | ~ % 42.76/6.40 | m2_fraenkel(v0, all_115_0, all_115_0, all_115_2) | % 42.76/6.40 | (k7_funct_2(all_115_0, all_115_0, all_115_0, v1, v0) = v2 & $i(v2))) % 42.76/6.40 | & ! [v0: any] : (v0 = all_82_4 | ~ $i(v0) | ~ m2_relset_1(v0, % 42.76/6.40 | all_115_1, all_115_2) | ~ v1_funct_2(v0, all_115_1, all_115_2) | % 42.76/6.40 | ~ v1_funct_1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 42.76/6.40 | $i] : ( ~ (v4 = v3) & k7_funct_2(all_115_0, all_115_0, all_115_0, % 42.76/6.40 | v2, v1) = v4 & k2_binop_1(all_115_2, all_115_2, all_115_2, v0, % 42.76/6.40 | v1, v2) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 42.76/6.40 | m2_fraenkel(v2, all_115_0, all_115_0, all_115_2) & m2_fraenkel(v1, % 42.76/6.40 | all_115_0, all_115_0, all_115_2))) % 42.76/6.40 | % 42.76/6.40 | ALPHA: (74) implies: % 42.76/6.41 | (75) u1_struct_0(all_82_7) = all_115_0 % 42.76/6.41 | (76) k2_zfmisc_1(all_115_2, all_115_2) = all_115_1 % 42.76/6.41 | (77) k1_autgroup(all_82_7) = all_115_2 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (14) with all_82_6, all_104_1, all_82_7, % 42.76/6.41 | simplifying with (32), (59) gives: % 42.76/6.41 | (78) all_104_1 = all_82_6 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (14) with all_104_1, all_115_0, all_82_7, % 42.76/6.41 | simplifying with (59), (75) gives: % 42.76/6.41 | (79) all_115_0 = all_104_1 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (14) with all_100_0, all_115_0, all_82_7, % 42.76/6.41 | simplifying with (51), (75) gives: % 42.76/6.41 | (80) all_115_0 = all_100_0 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (15) with all_82_4, all_112_0, all_82_7, % 42.76/6.41 | simplifying with (35), (71) gives: % 42.76/6.41 | (81) all_112_0 = all_82_4 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (16) with all_109_0, all_112_2, all_82_7, % 42.76/6.41 | simplifying with (62), (72) gives: % 42.76/6.41 | (82) all_112_2 = all_109_0 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (16) with all_94_0, all_112_2, all_82_7, % 42.76/6.41 | simplifying with (48), (72) gives: % 42.76/6.41 | (83) all_112_2 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (16) with all_109_0, all_115_2, all_82_7, % 42.76/6.41 | simplifying with (62), (77) gives: % 42.76/6.41 | (84) all_115_2 = all_109_0 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (16) with all_104_0, all_115_2, all_82_7, % 42.76/6.41 | simplifying with (60), (77) gives: % 42.76/6.41 | (85) all_115_2 = all_104_0 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (16) with all_102_1, all_115_2, all_82_7, % 42.76/6.41 | simplifying with (57), (77) gives: % 42.76/6.41 | (86) all_115_2 = all_102_1 % 42.76/6.41 | % 42.76/6.41 | GROUND_INST: instantiating (17) with all_82_5, all_109_1, all_82_7, % 42.76/6.41 | simplifying with (36), (63) gives: % 42.76/6.41 | (87) all_109_1 = all_82_5 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (79), (80) imply: % 42.76/6.41 | (88) all_104_1 = all_100_0 % 42.76/6.41 | % 42.76/6.41 | SIMP: (88) implies: % 42.76/6.41 | (89) all_104_1 = all_100_0 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (84), (85) imply: % 42.76/6.41 | (90) all_109_0 = all_104_0 % 42.76/6.41 | % 42.76/6.41 | SIMP: (90) implies: % 42.76/6.41 | (91) all_109_0 = all_104_0 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (85), (86) imply: % 42.76/6.41 | (92) all_104_0 = all_102_1 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (82), (83) imply: % 42.76/6.41 | (93) all_109_0 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | SIMP: (93) implies: % 42.76/6.41 | (94) all_109_0 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (91), (94) imply: % 42.76/6.41 | (95) all_104_0 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | SIMP: (95) implies: % 42.76/6.41 | (96) all_104_0 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (92), (96) imply: % 42.76/6.41 | (97) all_102_1 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | SIMP: (97) implies: % 42.76/6.41 | (98) all_102_1 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (78), (89) imply: % 42.76/6.41 | (99) all_100_0 = all_82_6 % 42.76/6.41 | % 42.76/6.41 | COMBINE_EQS: (85), (96) imply: % 42.76/6.41 | (100) all_115_2 = all_94_0 % 42.76/6.41 | % 42.76/6.41 | REDUCE: (76), (100) imply: % 42.76/6.41 | (101) k2_zfmisc_1(all_94_0, all_94_0) = all_115_1 % 42.76/6.41 | % 42.76/6.41 | REDUCE: (70), (83) imply: % 42.76/6.41 | (102) k2_zfmisc_1(all_94_0, all_94_0) = all_112_1 % 42.76/6.41 | % 42.76/6.41 | REDUCE: (56), (98) imply: % 42.76/6.41 | (103) k2_zfmisc_1(all_94_0, all_94_0) = all_102_0 % 42.76/6.41 | % 42.76/6.41 | REDUCE: (69), (81) imply: % 42.76/6.41 | (104) $i(all_82_4) % 42.76/6.41 | % 42.76/6.41 | REDUCE: (55), (98) imply: % 42.76/6.41 | (105) $i(all_94_0) % 42.76/6.41 | % 42.76/6.41 | REDUCE: (50), (99) imply: % 42.76/6.41 | (106) $i(all_82_6) % 42.76/6.41 | % 42.76/6.41 | REDUCE: (54), (98) imply: % 42.76/6.41 | (107) m2_relset_1(all_82_4, all_102_0, all_94_0) % 42.76/6.41 | % 42.76/6.41 | REDUCE: (53), (98) imply: % 42.76/6.41 | (108) v1_funct_2(all_82_4, all_102_0, all_94_0) % 42.76/6.41 | % 42.76/6.41 | BETA: splitting (66) gives: % 42.76/6.41 | % 42.76/6.41 | Case 1: % 42.76/6.41 | | % 42.76/6.41 | | (109) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_109_1) % 42.76/6.41 | | % 42.76/6.41 | | REDUCE: (87), (109) imply: % 42.76/6.41 | | (110) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_82_5) % 42.76/6.41 | | % 42.76/6.41 | | PRED_UNIFY: (28), (110) imply: % 42.76/6.41 | | (111) $false % 42.76/6.41 | | % 42.76/6.41 | | CLOSE: (111) is inconsistent. % 42.76/6.41 | | % 42.76/6.41 | Case 2: % 42.76/6.41 | | % 42.76/6.41 | | (112) m2_fraenkel(all_82_2, all_82_6, all_82_6, all_109_0) % 42.76/6.41 | | % 42.76/6.41 | | REDUCE: (94), (112) imply: % 42.76/6.41 | | (113) m2_fraenkel(all_82_2, all_82_6, all_82_6, all_94_0) % 42.76/6.41 | | % 42.76/6.41 | | BETA: splitting (65) gives: % 42.76/6.41 | | % 42.76/6.41 | | Case 1: % 42.76/6.41 | | | % 42.76/6.41 | | | (114) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_109_1) % 42.76/6.41 | | | % 42.76/6.41 | | | REDUCE: (87), (114) imply: % 42.76/6.41 | | | (115) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_82_5) % 42.76/6.41 | | | % 42.76/6.41 | | | PRED_UNIFY: (27), (115) imply: % 42.76/6.41 | | | (116) $false % 42.76/6.41 | | | % 42.76/6.41 | | | CLOSE: (116) is inconsistent. % 42.76/6.41 | | | % 42.76/6.41 | | Case 2: % 42.76/6.41 | | | % 42.76/6.41 | | | (117) m2_fraenkel(all_82_3, all_82_6, all_82_6, all_109_0) % 42.76/6.41 | | | % 42.76/6.41 | | | REDUCE: (94), (117) imply: % 42.76/6.41 | | | (118) m2_fraenkel(all_82_3, all_82_6, all_82_6, all_94_0) % 42.76/6.41 | | | % 42.76/6.41 | | | GROUND_INST: instantiating (18) with all_112_1, all_115_1, all_94_0, % 42.76/6.41 | | | all_94_0, simplifying with (101), (102) gives: % 42.76/6.41 | | | (119) all_115_1 = all_112_1 % 42.76/6.41 | | | % 42.76/6.41 | | | GROUND_INST: instantiating (18) with all_102_0, all_115_1, all_94_0, % 42.76/6.41 | | | all_94_0, simplifying with (101), (103) gives: % 42.76/6.41 | | | (120) all_115_1 = all_102_0 % 42.76/6.41 | | | % 42.76/6.41 | | | COMBINE_EQS: (119), (120) imply: % 42.76/6.41 | | | (121) all_112_1 = all_102_0 % 42.76/6.41 | | | % 42.76/6.41 | | | SIMP: (121) implies: % 42.76/6.41 | | | (122) all_112_1 = all_102_0 % 42.76/6.41 | | | % 42.76/6.42 | | | REDUCE: (68), (122) imply: % 42.76/6.42 | | | (123) $i(all_102_0) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (73) with all_82_3, all_82_2, all_82_0, % 42.76/6.42 | | | simplifying with (30), (31), (34) gives: % 42.76/6.42 | | | (124) ~ m2_relset_1(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.42 | | | v1_funct_2(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.42 | | | v1_funct_1(all_112_0) | ~ m2_fraenkel(all_82_2, all_82_6, % 42.76/6.42 | | | all_82_6, all_112_2) | ~ m2_fraenkel(all_82_3, all_82_6, % 42.76/6.42 | | | all_82_6, all_112_2) | (k2_binop_1(all_112_2, all_112_2, % 42.76/6.42 | | | all_112_2, all_112_0, all_82_3, all_82_2) = all_82_0 & % 42.76/6.42 | | | $i(all_82_0)) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (10) with all_102_0, all_94_0, all_82_4, % 42.76/6.42 | | | simplifying with (104), (105), (107), (123) gives: % 42.76/6.42 | | | (125) m1_relset_1(all_82_4, all_102_0, all_94_0) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (9) with all_82_6, all_82_6, all_94_0, % 42.76/6.42 | | | all_82_2, simplifying with (31), (47), (105), (106), (113) % 42.76/6.42 | | | gives: % 42.76/6.42 | | | (126) v1_xboole_0(all_82_6) | m1_subset_1(all_82_2, all_94_0) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (9) with all_82_6, all_82_6, all_94_0, % 42.76/6.42 | | | all_82_3, simplifying with (30), (47), (105), (106), (118) % 42.76/6.42 | | | gives: % 42.76/6.42 | | | (127) v1_xboole_0(all_82_6) | m1_subset_1(all_82_3, all_94_0) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (existence_m2_fraenkel) with all_82_6, % 42.76/6.42 | | | all_82_6, all_94_0, simplifying with (47), (105), (106) % 42.76/6.42 | | | gives: % 42.76/6.42 | | | (128) v1_xboole_0(all_82_6) | ? [v0: $i] : ($i(v0) & m2_fraenkel(v0, % 42.76/6.42 | | | all_82_6, all_82_6, all_94_0)) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (3) with all_82_7, all_94_0, simplifying with % 42.76/6.42 | | | (22), (23), (24), (25), (26), (29), (48) gives: % 42.76/6.42 | | | (129) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k2_autgroup(all_82_7) % 42.76/6.42 | | | = v1 & k2_zfmisc_1(all_94_0, all_94_0) = v0 & % 42.76/6.42 | | | u1_struct_0(all_82_7) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: % 42.76/6.42 | | | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k7_funct_2(v2, v2, v2, % 42.76/6.42 | | | v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ % 42.76/6.42 | | | m2_relset_1(v1, v0, all_94_0) | ~ v1_funct_2(v1, v0, % 42.76/6.42 | | | all_94_0) | ~ v1_funct_1(v1) | ~ m2_fraenkel(v4, v2, v2, % 42.76/6.42 | | | all_94_0) | ~ m2_fraenkel(v3, v2, v2, all_94_0) | % 42.76/6.42 | | | (k2_binop_1(all_94_0, all_94_0, all_94_0, v1, v3, v4) = v5 & % 42.76/6.42 | | | $i(v5))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 42.76/6.42 | | | (k2_binop_1(all_94_0, all_94_0, all_94_0, v1, v3, v4) = v5) | % 42.76/6.42 | | | ~ $i(v4) | ~ $i(v3) | ~ m2_relset_1(v1, v0, all_94_0) | ~ % 42.76/6.42 | | | v1_funct_2(v1, v0, all_94_0) | ~ v1_funct_1(v1) | ~ % 42.76/6.42 | | | m2_fraenkel(v4, v2, v2, all_94_0) | ~ m2_fraenkel(v3, v2, % 42.76/6.42 | | | v2, all_94_0) | (k7_funct_2(v2, v2, v2, v4, v3) = v5 & % 42.76/6.42 | | | $i(v5))) & ! [v3: $i] : (v3 = v1 | ~ $i(v3) | ~ % 42.76/6.42 | | | m2_relset_1(v3, v0, all_94_0) | ~ v1_funct_2(v3, v0, % 42.76/6.42 | | | all_94_0) | ~ v1_funct_1(v3) | ? [v4: $i] : ? [v5: $i] : % 42.76/6.42 | | | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & k7_funct_2(v2, % 42.76/6.42 | | | v2, v2, v5, v4) = v7 & k2_binop_1(all_94_0, all_94_0, % 42.76/6.42 | | | all_94_0, v3, v4, v5) = v6 & $i(v7) & $i(v6) & $i(v5) & % 42.76/6.42 | | | $i(v4) & m2_fraenkel(v5, v2, v2, all_94_0) & % 42.76/6.42 | | | m2_fraenkel(v4, v2, v2, all_94_0)))) % 42.76/6.42 | | | % 42.76/6.42 | | | GROUND_INST: instantiating (12) with all_82_7, all_94_0, simplifying with % 42.76/6.42 | | | (22), (23), (24), (25), (26), (29), (48) gives: % 42.76/6.42 | | | (130) ? [v0: $i] : ? [v1: $i] : (k4_autgroup(all_82_7) = v1 & % 42.76/6.42 | | | u1_struct_0(all_82_7) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ( % 42.76/6.42 | | | ~ $i(v2) | ~ m2_fraenkel(v2, v0, v0, v1) | m2_fraenkel(v2, % 42.76/6.42 | | | v0, v0, all_94_0))) % 42.76/6.42 | | | % 42.76/6.42 | | | DELTA: instantiating (130) with fresh symbols all_142_0, all_142_1 gives: % 42.76/6.42 | | | (131) k4_autgroup(all_82_7) = all_142_0 & u1_struct_0(all_82_7) = % 42.76/6.42 | | | all_142_1 & $i(all_142_0) & $i(all_142_1) & ! [v0: $i] : ( ~ % 42.76/6.42 | | | $i(v0) | ~ m2_fraenkel(v0, all_142_1, all_142_1, all_142_0) | % 42.76/6.42 | | | m2_fraenkel(v0, all_142_1, all_142_1, all_94_0)) % 42.76/6.42 | | | % 42.76/6.42 | | | ALPHA: (131) implies: % 42.76/6.42 | | | (132) $i(all_142_1) % 42.76/6.42 | | | (133) u1_struct_0(all_82_7) = all_142_1 % 42.76/6.42 | | | % 42.76/6.42 | | | DELTA: instantiating (129) with fresh symbols all_145_0, all_145_1, % 42.76/6.42 | | | all_145_2 gives: % 42.76/6.42 | | | (134) k2_autgroup(all_82_7) = all_145_1 & k2_zfmisc_1(all_94_0, % 42.76/6.42 | | | all_94_0) = all_145_2 & u1_struct_0(all_82_7) = all_145_0 & % 42.76/6.42 | | | $i(all_145_0) & $i(all_145_1) & $i(all_145_2) & ! [v0: $i] : ! % 42.76/6.42 | | | [v1: $i] : ! [v2: $i] : ( ~ (k7_funct_2(all_145_0, all_145_0, % 42.76/6.42 | | | all_145_0, v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 42.76/6.42 | | | m2_relset_1(all_145_1, all_145_2, all_94_0) | ~ % 42.76/6.42 | | | v1_funct_2(all_145_1, all_145_2, all_94_0) | ~ % 42.76/6.42 | | | v1_funct_1(all_145_1) | ~ m2_fraenkel(v1, all_145_0, % 42.76/6.42 | | | all_145_0, all_94_0) | ~ m2_fraenkel(v0, all_145_0, % 42.76/6.42 | | | all_145_0, all_94_0) | (k2_binop_1(all_94_0, all_94_0, % 42.76/6.42 | | | all_94_0, all_145_1, v0, v1) = v2 & $i(v2))) & ! [v0: $i] % 42.76/6.42 | | | : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_binop_1(all_94_0, all_94_0, % 42.76/6.42 | | | all_94_0, all_145_1, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 42.76/6.42 | | | | ~ m2_relset_1(all_145_1, all_145_2, all_94_0) | ~ % 42.76/6.42 | | | v1_funct_2(all_145_1, all_145_2, all_94_0) | ~ % 42.76/6.42 | | | v1_funct_1(all_145_1) | ~ m2_fraenkel(v1, all_145_0, % 42.76/6.42 | | | all_145_0, all_94_0) | ~ m2_fraenkel(v0, all_145_0, % 42.76/6.42 | | | all_145_0, all_94_0) | (k7_funct_2(all_145_0, all_145_0, % 42.76/6.42 | | | all_145_0, v1, v0) = v2 & $i(v2))) & ! [v0: any] : (v0 = % 42.76/6.42 | | | all_145_1 | ~ $i(v0) | ~ m2_relset_1(v0, all_145_2, all_94_0) % 42.76/6.42 | | | | ~ v1_funct_2(v0, all_145_2, all_94_0) | ~ v1_funct_1(v0) | % 42.76/6.42 | | | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v4 % 42.76/6.42 | | | = v3) & k7_funct_2(all_145_0, all_145_0, all_145_0, v2, v1) % 42.76/6.42 | | | = v4 & k2_binop_1(all_94_0, all_94_0, all_94_0, v0, v1, v2) = % 42.76/6.42 | | | v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & m2_fraenkel(v2, % 42.76/6.42 | | | all_145_0, all_145_0, all_94_0) & m2_fraenkel(v1, % 42.76/6.42 | | | all_145_0, all_145_0, all_94_0))) % 42.76/6.42 | | | % 42.76/6.42 | | | ALPHA: (134) implies: % 42.76/6.42 | | | (135) $i(all_145_2) % 42.76/6.42 | | | (136) $i(all_145_1) % 42.76/6.42 | | | (137) u1_struct_0(all_82_7) = all_145_0 % 42.76/6.42 | | | (138) k2_zfmisc_1(all_94_0, all_94_0) = all_145_2 % 42.76/6.42 | | | (139) k2_autgroup(all_82_7) = all_145_1 % 42.76/6.42 | | | % 42.76/6.42 | | | BETA: splitting (124) gives: % 42.76/6.42 | | | % 42.76/6.42 | | | Case 1: % 42.76/6.42 | | | | % 42.76/6.42 | | | | (140) ~ m2_relset_1(all_112_0, all_112_1, all_112_2) % 42.76/6.42 | | | | % 42.76/6.42 | | | | REDUCE: (81), (83), (122), (140) imply: % 42.76/6.42 | | | | (141) ~ m2_relset_1(all_82_4, all_102_0, all_94_0) % 42.76/6.42 | | | | % 42.76/6.42 | | | | PRED_UNIFY: (107), (141) imply: % 42.76/6.42 | | | | (142) $false % 42.76/6.42 | | | | % 42.76/6.42 | | | | CLOSE: (142) is inconsistent. % 42.76/6.42 | | | | % 42.76/6.42 | | | Case 2: % 42.76/6.42 | | | | % 42.76/6.42 | | | | (143) ~ v1_funct_2(all_112_0, all_112_1, all_112_2) | ~ % 42.76/6.42 | | | | v1_funct_1(all_112_0) | ~ m2_fraenkel(all_82_2, all_82_6, % 42.76/6.42 | | | | all_82_6, all_112_2) | ~ m2_fraenkel(all_82_3, all_82_6, % 42.76/6.42 | | | | all_82_6, all_112_2) | (k2_binop_1(all_112_2, all_112_2, % 42.76/6.42 | | | | all_112_2, all_112_0, all_82_3, all_82_2) = all_82_0 & % 42.76/6.42 | | | | $i(all_82_0)) % 42.76/6.42 | | | | % 42.76/6.42 | | | | BETA: splitting (143) gives: % 42.76/6.42 | | | | % 42.76/6.42 | | | | Case 1: % 42.76/6.42 | | | | | % 42.76/6.42 | | | | | (144) ~ v1_funct_2(all_112_0, all_112_1, all_112_2) % 42.76/6.42 | | | | | % 42.76/6.42 | | | | | REDUCE: (81), (83), (122), (144) imply: % 42.76/6.43 | | | | | (145) ~ v1_funct_2(all_82_4, all_102_0, all_94_0) % 42.76/6.43 | | | | | % 42.76/6.43 | | | | | PRED_UNIFY: (108), (145) imply: % 42.76/6.43 | | | | | (146) $false % 42.76/6.43 | | | | | % 42.76/6.43 | | | | | CLOSE: (146) is inconsistent. % 42.76/6.43 | | | | | % 42.76/6.43 | | | | Case 2: % 42.76/6.43 | | | | | % 42.76/6.43 | | | | | (147) v1_funct_2(all_112_0, all_112_1, all_112_2) % 42.76/6.43 | | | | | (148) ~ v1_funct_1(all_112_0) | ~ m2_fraenkel(all_82_2, all_82_6, % 42.76/6.43 | | | | | all_82_6, all_112_2) | ~ m2_fraenkel(all_82_3, all_82_6, % 42.76/6.43 | | | | | all_82_6, all_112_2) | (k2_binop_1(all_112_2, all_112_2, % 42.76/6.43 | | | | | all_112_2, all_112_0, all_82_3, all_82_2) = all_82_0 & % 42.76/6.43 | | | | | $i(all_82_0)) % 42.76/6.43 | | | | | % 42.76/6.43 | | | | | BETA: splitting (148) gives: % 42.76/6.43 | | | | | % 42.76/6.43 | | | | | Case 1: % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | (149) ~ v1_funct_1(all_112_0) % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | REDUCE: (81), (149) imply: % 42.76/6.43 | | | | | | (150) ~ v1_funct_1(all_82_4) % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | PRED_UNIFY: (41), (150) imply: % 42.76/6.43 | | | | | | (151) $false % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | CLOSE: (151) is inconsistent. % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | Case 2: % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | (152) v1_funct_1(all_112_0) % 42.76/6.43 | | | | | | (153) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_112_2) | % 42.76/6.43 | | | | | | ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_112_2) | % 42.76/6.43 | | | | | | (k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, % 42.76/6.43 | | | | | | all_82_3, all_82_2) = all_82_0 & $i(all_82_0)) % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | BETA: splitting (153) gives: % 42.76/6.43 | | | | | | % 42.76/6.43 | | | | | | Case 1: % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | (154) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_112_2) % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | REDUCE: (83), (154) imply: % 42.76/6.43 | | | | | | | (155) ~ m2_fraenkel(all_82_2, all_82_6, all_82_6, all_94_0) % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | PRED_UNIFY: (113), (155) imply: % 42.76/6.43 | | | | | | | (156) $false % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | CLOSE: (156) is inconsistent. % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | Case 2: % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | (157) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_112_2) | % 42.76/6.43 | | | | | | | (k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, % 42.76/6.43 | | | | | | | all_82_3, all_82_2) = all_82_0 & $i(all_82_0)) % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | BETA: splitting (157) gives: % 42.76/6.43 | | | | | | | % 42.76/6.43 | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | (158) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_112_2) % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | REDUCE: (83), (158) imply: % 42.76/6.43 | | | | | | | | (159) ~ m2_fraenkel(all_82_3, all_82_6, all_82_6, all_94_0) % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | PRED_UNIFY: (118), (159) imply: % 42.76/6.43 | | | | | | | | (160) $false % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | CLOSE: (160) is inconsistent. % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | (161) k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, % 42.76/6.43 | | | | | | | | all_82_3, all_82_2) = all_82_0 & $i(all_82_0) % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | ALPHA: (161) implies: % 42.76/6.43 | | | | | | | | (162) k2_binop_1(all_112_2, all_112_2, all_112_2, all_112_0, % 42.76/6.43 | | | | | | | | all_82_3, all_82_2) = all_82_0 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | REDUCE: (81), (83), (162) imply: % 42.76/6.43 | | | | | | | | (163) k2_binop_1(all_94_0, all_94_0, all_94_0, all_82_4, % 42.76/6.43 | | | | | | | | all_82_3, all_82_2) = all_82_0 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | GROUND_INST: instantiating (14) with all_82_6, all_145_0, % 42.76/6.43 | | | | | | | | all_82_7, simplifying with (32), (137) gives: % 42.76/6.43 | | | | | | | | (164) all_145_0 = all_82_6 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | GROUND_INST: instantiating (14) with all_142_1, all_145_0, % 42.76/6.43 | | | | | | | | all_82_7, simplifying with (133), (137) gives: % 42.76/6.43 | | | | | | | | (165) all_145_0 = all_142_1 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | GROUND_INST: instantiating (18) with all_102_0, all_145_2, % 42.76/6.43 | | | | | | | | all_94_0, all_94_0, simplifying with (103), (138) % 42.76/6.43 | | | | | | | | gives: % 42.76/6.43 | | | | | | | | (166) all_145_2 = all_102_0 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | GROUND_INST: instantiating (15) with all_82_4, all_145_1, % 42.76/6.43 | | | | | | | | all_82_7, simplifying with (35), (139) gives: % 42.76/6.43 | | | | | | | | (167) all_145_1 = all_82_4 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | COMBINE_EQS: (164), (165) imply: % 42.76/6.43 | | | | | | | | (168) all_142_1 = all_82_6 % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | GROUND_INST: instantiating (cc5_funct_2) with all_102_0, % 42.76/6.43 | | | | | | | | all_94_0, all_82_4, simplifying with (41), (104), % 42.76/6.43 | | | | | | | | (105), (108), (123), (125) gives: % 42.76/6.43 | | | | | | | | (169) v1_partfun1(all_82_4, all_102_0, all_94_0) | % 42.76/6.43 | | | | | | | | v1_xboole_0(all_94_0) % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | BETA: splitting (128) gives: % 42.76/6.43 | | | | | | | | % 42.76/6.43 | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | (170) v1_xboole_0(all_82_6) % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_82_7, % 42.76/6.43 | | | | | | | | | all_82_6, simplifying with (22), (29), (32), (37), % 42.76/6.43 | | | | | | | | | (170) gives: % 42.76/6.43 | | | | | | | | | (171) $false % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | CLOSE: (171) is inconsistent. % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | (172) ~ v1_xboole_0(all_82_6) % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | BETA: splitting (126) gives: % 42.76/6.43 | | | | | | | | | % 42.76/6.43 | | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | (173) v1_xboole_0(all_82_6) % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | PRED_UNIFY: (172), (173) imply: % 42.76/6.43 | | | | | | | | | | (174) $false % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | CLOSE: (174) is inconsistent. % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | (175) m1_subset_1(all_82_2, all_94_0) % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | BETA: splitting (127) gives: % 42.76/6.43 | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | (176) v1_xboole_0(all_82_6) % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | PRED_UNIFY: (172), (176) imply: % 42.76/6.43 | | | | | | | | | | | (177) $false % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | CLOSE: (177) is inconsistent. % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | (178) m1_subset_1(all_82_3, all_94_0) % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | BETA: splitting (169) gives: % 42.76/6.43 | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | GROUND_INST: instantiating (redefinition_k2_binop_1) with % 42.76/6.43 | | | | | | | | | | | | all_94_0, all_94_0, all_94_0, all_82_4, all_82_3, % 42.76/6.43 | | | | | | | | | | | | all_82_2, all_82_0, simplifying with (30), (31), % 42.76/6.43 | | | | | | | | | | | | (41), (104), (105), (163), (175), (178) gives: % 42.76/6.43 | | | | | | | | | | | | (179) v1_xboole_0(all_94_0) | ? [v0: $i] : ? [v1: int] % 42.76/6.43 | | | | | | | | | | | | : ((v1 = all_82_0 & k1_binop_1(all_82_4, all_82_3, % 42.76/6.43 | | | | | | | | | | | | all_82_2) = all_82_0 & $i(all_82_0)) | % 42.76/6.43 | | | | | | | | | | | | (k2_zfmisc_1(all_94_0, all_94_0) = v0 & $i(v0) & % 42.76/6.43 | | | | | | | | | | | | ( ~ v1_funct_2(all_82_4, v0, all_94_0) | ~ % 42.76/6.43 | | | | | | | | | | | | m1_relset_1(all_82_4, v0, all_94_0)))) % 42.76/6.43 | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | BETA: splitting (179) gives: % 42.76/6.43 | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | (180) v1_xboole_0(all_94_0) % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_82_6, all_82_6, % 42.76/6.43 | | | | | | | | | | | | | all_94_0, simplifying with (47), (105), (106), % 42.76/6.43 | | | | | | | | | | | | | (180) gives: % 42.76/6.43 | | | | | | | | | | | | | (181) $false % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | (182) ? [v0: $i] : ? [v1: int] : ((v1 = all_82_0 & % 42.76/6.43 | | | | | | | | | | | | | k1_binop_1(all_82_4, all_82_3, all_82_2) = % 42.76/6.43 | | | | | | | | | | | | | all_82_0 & $i(all_82_0)) | % 42.76/6.43 | | | | | | | | | | | | | (k2_zfmisc_1(all_94_0, all_94_0) = v0 & $i(v0) & % 42.76/6.43 | | | | | | | | | | | | | ( ~ v1_funct_2(all_82_4, v0, all_94_0) | ~ % 42.76/6.43 | | | | | | | | | | | | | m1_relset_1(all_82_4, v0, all_94_0)))) % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | DELTA: instantiating (182) with fresh symbols all_599_0, % 42.76/6.43 | | | | | | | | | | | | | all_599_1 gives: % 42.76/6.43 | | | | | | | | | | | | | (183) (all_599_0 = all_82_0 & k1_binop_1(all_82_4, % 42.76/6.43 | | | | | | | | | | | | | all_82_3, all_82_2) = all_82_0 & $i(all_82_0)) % 42.76/6.43 | | | | | | | | | | | | | | (k2_zfmisc_1(all_94_0, all_94_0) = all_599_1 & % 42.76/6.43 | | | | | | | | | | | | | $i(all_599_1) & ( ~ v1_funct_2(all_82_4, % 42.76/6.43 | | | | | | | | | | | | | all_599_1, all_94_0) | ~ % 42.76/6.43 | | | | | | | | | | | | | m1_relset_1(all_82_4, all_599_1, all_94_0))) % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | BETA: splitting (183) gives: % 42.76/6.43 | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | Case 1: % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | | (184) all_599_0 = all_82_0 & k1_binop_1(all_82_4, % 42.76/6.43 | | | | | | | | | | | | | | all_82_3, all_82_2) = all_82_0 & $i(all_82_0) % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | | ALPHA: (184) implies: % 42.76/6.43 | | | | | | | | | | | | | | (185) k1_binop_1(all_82_4, all_82_3, all_82_2) = % 42.76/6.43 | | | | | | | | | | | | | | all_82_0 % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_82_1, all_82_0, % 42.76/6.43 | | | | | | | | | | | | | | all_82_2, all_82_3, all_82_4, simplifying with % 42.76/6.43 | | | | | | | | | | | | | | (33), (185) gives: % 42.76/6.43 | | | | | | | | | | | | | | (186) all_82_0 = all_82_1 % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | | REDUCE: (21), (186) imply: % 42.76/6.43 | | | | | | | | | | | | | | (187) $false % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | | CLOSE: (187) is inconsistent. % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.43 | | | | | | | | | | | | | Case 2: % 42.76/6.43 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | (188) k2_zfmisc_1(all_94_0, all_94_0) = all_599_1 & % 42.76/6.44 | | | | | | | | | | | | | | $i(all_599_1) & ( ~ v1_funct_2(all_82_4, % 42.76/6.44 | | | | | | | | | | | | | | all_599_1, all_94_0) | ~ % 42.76/6.44 | | | | | | | | | | | | | | m1_relset_1(all_82_4, all_599_1, all_94_0)) % 42.76/6.44 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | ALPHA: (188) implies: % 42.76/6.44 | | | | | | | | | | | | | | (189) k2_zfmisc_1(all_94_0, all_94_0) = all_599_1 % 42.76/6.44 | | | | | | | | | | | | | | (190) ~ v1_funct_2(all_82_4, all_599_1, all_94_0) | ~ % 42.76/6.44 | | | | | | | | | | | | | | m1_relset_1(all_82_4, all_599_1, all_94_0) % 42.76/6.44 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_102_0, all_599_1, % 42.76/6.44 | | | | | | | | | | | | | | all_94_0, all_94_0, simplifying with (103), (189) % 42.76/6.44 | | | | | | | | | | | | | | gives: % 42.76/6.44 | | | | | | | | | | | | | | (191) all_599_1 = all_102_0 % 42.76/6.44 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | BETA: splitting (190) gives: % 42.76/6.44 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | Case 1: % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | (192) ~ v1_funct_2(all_82_4, all_599_1, all_94_0) % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | REDUCE: (191), (192) imply: % 42.76/6.44 | | | | | | | | | | | | | | | (193) ~ v1_funct_2(all_82_4, all_102_0, all_94_0) % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | PRED_UNIFY: (108), (193) imply: % 42.76/6.44 | | | | | | | | | | | | | | | (194) $false % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent. % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | Case 2: % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | (195) ~ m1_relset_1(all_82_4, all_599_1, all_94_0) % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | REDUCE: (191), (195) imply: % 42.76/6.44 | | | | | | | | | | | | | | | (196) ~ m1_relset_1(all_82_4, all_102_0, all_94_0) % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | PRED_UNIFY: (125), (196) imply: % 42.76/6.44 | | | | | | | | | | | | | | | (197) $false % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent. % 42.76/6.44 | | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | Case 2: % 42.76/6.44 | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | (198) v1_xboole_0(all_94_0) % 42.76/6.44 | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_82_6, all_82_6, % 42.76/6.44 | | | | | | | | | | | | all_94_0, simplifying with (47), (105), (106), % 42.76/6.44 | | | | | | | | | | | | (198) gives: % 42.76/6.44 | | | | | | | | | | | | (199) $false % 42.76/6.44 | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | | CLOSE: (199) is inconsistent. % 42.76/6.44 | | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | | | % 42.76/6.44 | | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | | % 42.76/6.44 | | | | | | | | | End of split % 42.76/6.44 | | | | | | | | | % 42.76/6.44 | | | | | | | | End of split % 42.76/6.44 | | | | | | | | % 42.76/6.44 | | | | | | | End of split % 42.76/6.44 | | | | | | | % 42.76/6.44 | | | | | | End of split % 42.76/6.44 | | | | | | % 42.76/6.44 | | | | | End of split % 42.76/6.44 | | | | | % 42.76/6.44 | | | | End of split % 42.76/6.44 | | | | % 42.76/6.44 | | | End of split % 42.76/6.44 | | | % 42.76/6.44 | | End of split % 42.76/6.44 | | % 42.76/6.44 | End of split % 42.76/6.44 | % 42.76/6.44 End of proof % 42.76/6.44 % SZS output end Proof for theBenchmark % 42.76/6.44 % 42.76/6.44 5821ms %------------------------------------------------------------------------------