%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GRP653+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 01:12:53 EDT 2023 % Result : Theorem 22.86s 3.80s % Output : Proof 41.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GRP653+1 : TPTP v8.1.2. Released v3.4.0. % 0.10/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n005.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 : Tue Aug 29 02:15:37 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.80/1.27 Prover 4: Preprocessing ... % 3.80/1.28 Prover 1: Preprocessing ... % 3.80/1.32 Prover 6: Preprocessing ... % 3.80/1.32 Prover 2: Preprocessing ... % 3.80/1.32 Prover 3: Preprocessing ... % 3.80/1.32 Prover 0: Preprocessing ... % 3.80/1.32 Prover 5: Preprocessing ... % 10.08/2.07 Prover 5: Proving ... % 10.08/2.10 Prover 1: Warning: ignoring some quantifiers % 10.60/2.22 Prover 1: Constructing countermodel ... % 11.16/2.23 Prover 6: Proving ... % 11.57/2.28 Prover 3: Warning: ignoring some quantifiers % 11.57/2.31 Prover 2: Proving ... % 11.57/2.32 Prover 3: Constructing countermodel ... % 22.86/3.80 Prover 5: proved (3154ms) % 22.86/3.80 % 22.86/3.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 22.86/3.80 % 22.86/3.81 Prover 2: stopped % 22.86/3.81 Prover 6: stopped % 22.86/3.83 Prover 3: stopped % 22.86/3.84 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 22.86/3.84 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 22.86/3.84 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 22.86/3.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.86/3.94 Prover 8: Preprocessing ... % 24.36/4.00 Prover 7: Preprocessing ... % 24.36/4.00 Prover 10: Preprocessing ... % 24.36/4.01 Prover 11: Preprocessing ... % 25.56/4.16 Prover 8: Warning: ignoring some quantifiers % 25.56/4.16 Prover 7: Warning: ignoring some quantifiers % 25.56/4.16 Prover 10: Warning: ignoring some quantifiers % 25.89/4.19 Prover 8: Constructing countermodel ... % 25.89/4.21 Prover 10: Constructing countermodel ... % 25.89/4.21 Prover 7: Constructing countermodel ... % 27.25/4.36 Prover 4: Warning: ignoring some quantifiers % 27.85/4.53 Prover 4: Constructing countermodel ... % 36.69/5.62 Prover 0: Proving ... % 36.69/5.62 Prover 0: stopped % 36.97/5.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 37.58/5.72 Prover 13: Preprocessing ... % 37.58/5.86 Prover 13: Warning: ignoring some quantifiers % 38.25/5.88 Prover 10: Found proof (size 168) % 38.25/5.89 Prover 10: proved (2042ms) % 38.25/5.89 Prover 4: stopped % 38.25/5.89 Prover 7: stopped % 38.25/5.90 Prover 1: stopped % 38.25/5.90 Prover 8: stopped % 38.25/5.90 Prover 13: Constructing countermodel ... % 38.25/5.92 Prover 13: stopped % 40.52/6.36 Prover 11: Warning: ignoring some quantifiers % 41.05/6.42 Prover 11: Constructing countermodel ... % 41.18/6.45 Prover 11: stopped % 41.18/6.45 % 41.18/6.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 41.18/6.45 % 41.18/6.50 % SZS output start Proof for theBenchmark % 41.18/6.50 Assumptions after simplification: % 41.18/6.50 --------------------------------- % 41.18/6.50 % 41.18/6.50 (cc5_funct_2) % 41.18/6.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 41.18/6.51 ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | % 41.18/6.51 v1_xboole_0(v1) | v1_partfun1(v2, v0, v1)) % 41.18/6.51 % 41.18/6.51 (dt_k11_group_4) % 41.60/6.55 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.55 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v3_struct_0(v1) % 41.60/6.55 | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) % 41.60/6.55 | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.55 v10_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 41.60/6.55 (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 41.60/6.55 ~ v3_group_1(v0) | v3_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! % 41.60/6.55 [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ % 41.60/6.55 v4_group_1(v0) | ~ v3_group_1(v0) | l3_lattices(v1) | v3_struct_0(v0)) % 41.60/6.55 % 41.60/6.55 (dt_k3_latsubgr) % 41.60/6.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k3_latsubgr(v0, % 41.60/6.55 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v1_funct_1(v2) | % 41.60/6.55 ~ l1_group_1(v1) | ~ l1_group_1(v0) | ~ v4_group_1(v1) | ~ v4_group_1(v0) % 41.60/6.55 | ~ v3_group_1(v1) | ~ v3_group_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) % 41.60/6.55 | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? % 41.60/6.55 [v9: $i] : ((k11_group_4(v1) = v8 & k11_group_4(v0) = v6 & u1_struct_0(v8) = % 41.60/6.55 v9 & u1_struct_0(v6) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 41.60/6.55 m2_relset_1(v3, v7, v9) & v1_funct_2(v3, v7, v9) & v1_funct_1(v3)) | % 41.60/6.55 (u1_struct_0(v1) = v5 & u1_struct_0(v0) = v4 & $i(v5) & $i(v4) & ( ~ % 41.60/6.55 m1_relset_1(v2, v4, v5) | ~ v1_funct_2(v2, v4, v5))))) % 41.60/6.55 % 41.60/6.55 (dt_l1_group_1) % 41.60/6.56 ! [v0: $i] : ( ~ $i(v0) | ~ l1_group_1(v0) | l1_struct_0(v0)) % 41.60/6.56 % 41.60/6.56 (dt_l2_lattices) % 41.60/6.56 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0)) % 41.60/6.56 % 41.60/6.56 (dt_l3_lattices) % 41.60/6.56 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i] % 41.60/6.56 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0)) % 41.60/6.56 % 41.60/6.56 (existence_m4_vectsp_8) % 41.60/6.56 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v10_lattices(v1) | ~ % 41.60/6.56 v10_lattices(v0) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | v3_struct_0(v1) % 41.60/6.56 | v3_struct_0(v0) | ? [v2: $i] : ($i(v2) & m4_vectsp_8(v2, v0, v1))) % 41.60/6.56 % 41.60/6.56 (fc1_group_4) % 41.60/6.57 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v3_struct_0(v1) % 41.60/6.57 | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) % 41.60/6.57 | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.57 v15_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 41.60/6.57 (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 41.60/6.57 ~ v3_group_1(v0) | v14_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! % 41.60/6.57 [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ % 41.60/6.57 v4_group_1(v0) | ~ v3_group_1(v0) | v13_lattices(v1) | v3_struct_0(v0)) & % 41.60/6.57 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v9_lattices(v1) | % 41.60/6.57 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | % 41.60/6.57 ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.57 v8_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 41.60/6.57 (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 41.60/6.57 ~ v3_group_1(v0) | v7_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! % 41.60/6.57 [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ % 41.60/6.57 v4_group_1(v0) | ~ v3_group_1(v0) | v6_lattices(v1) | v3_struct_0(v0)) & ! % 41.60/6.57 [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v5_lattices(v1) | % 41.60/6.57 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | % 41.60/6.57 ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.57 v4_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 41.60/6.57 (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | % 41.60/6.57 ~ v3_group_1(v0) | v10_lattices(v1) | v3_struct_0(v0)) & ! [v0: $i] : ! % 41.60/6.57 [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) | ~ % 41.60/6.57 v4_group_1(v0) | ~ v3_group_1(v0) | v3_lattices(v1) | v3_struct_0(v0)) % 41.60/6.57 % 41.60/6.57 (fc1_struct_0) % 41.60/6.57 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) % 41.60/6.57 % 41.60/6.57 (fc1_subset_1) % 41.60/6.57 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 v1_xboole_0(v1)) % 41.60/6.57 % 41.60/6.57 (rc5_struct_0) % 41.60/6.57 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.57 l1_struct_0(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : % 41.60/6.58 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & m1_subset_1(v3, v2) & ~ % 41.60/6.58 v1_xboole_0(v3))) % 41.60/6.58 % 41.60/6.58 (redefinition_m2_relset_1) % 41.60/6.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 41.60/6.58 ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0: $i] : ! % 41.60/6.58 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 41.60/6.58 m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 41.60/6.58 % 41.60/6.58 (t11_vectsp_8) % 41.60/6.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 41.60/6.58 (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ $i(v2) | % 41.60/6.58 ~ $i(v0) | ~ m4_vectsp_8(v4, v0, v2) | ~ m3_vectsp_8(v4, v0, v2) | ~ % 41.60/6.58 v10_lattices(v2) | ~ v10_lattices(v0) | ~ l3_lattices(v2) | ~ % 41.60/6.58 l3_lattices(v0) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | % 41.60/6.58 ~ v1_funct_1(v4) | m1_lattice4(v4, v0, v2) | v3_struct_0(v2) | % 41.60/6.58 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 41.60/6.58 ! [v4: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ % 41.60/6.58 $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ v10_lattices(v2) | ~ v10_lattices(v0) | % 41.60/6.58 ~ l3_lattices(v2) | ~ l3_lattices(v0) | ~ m1_lattice4(v4, v0, v2) | ~ % 41.60/6.58 m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | % 41.60/6.58 m4_vectsp_8(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0: $i] : % 41.60/6.58 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (u1_struct_0(v2) = % 41.60/6.58 v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ~ % 41.60/6.58 v10_lattices(v2) | ~ v10_lattices(v0) | ~ l3_lattices(v2) | ~ % 41.60/6.58 l3_lattices(v0) | ~ m1_lattice4(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | % 41.60/6.58 ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | m3_vectsp_8(v4, v0, v2) | % 41.60/6.58 v3_struct_0(v2) | v3_struct_0(v0)) % 41.60/6.58 % 41.60/6.58 (t2_subset) % 41.60/6.58 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) | % 41.60/6.58 v1_xboole_0(v1) | r2_hidden(v0, v1)) % 41.60/6.58 % 41.60/6.58 (t36_latsubgr) % 41.60/6.59 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.59 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | % 41.60/6.59 ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( % 41.60/6.59 ~ (k11_group_4(v3) = v4) | ~ $i(v3) | ~ l1_group_1(v3) | ~ % 41.60/6.59 v4_group_1(v3) | ~ v3_group_1(v3) | v3_struct_0(v3) | ? [v5: $i] : % 41.60/6.59 (u1_struct_0(v3) = v5 & $i(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ % 41.60/6.59 (k3_latsubgr(v0, v3, v6) = v7) | ~ $i(v6) | ~ v2_funct_1(v6) | ~ % 41.60/6.59 m2_relset_1(v6, v2, v5) | ~ v1_group_6(v6, v0, v3) | ~ % 41.60/6.59 v1_funct_2(v6, v2, v5) | ~ v1_funct_1(v6) | m3_vectsp_8(v7, v1, % 41.60/6.59 v4)))))) % 41.60/6.59 % 41.60/6.59 (t37_latsubgr) % 41.60/6.59 ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.59 l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | % 41.60/6.59 ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( % 41.60/6.59 ~ (k11_group_4(v3) = v4) | ~ $i(v3) | ~ l1_group_1(v3) | ~ % 41.60/6.59 v4_group_1(v3) | ~ v3_group_1(v3) | v3_struct_0(v3) | ? [v5: $i] : % 41.60/6.59 (u1_struct_0(v3) = v5 & $i(v5) & ! [v6: $i] : ! [v7: $i] : ( ~ % 41.60/6.59 (k3_latsubgr(v0, v3, v6) = v7) | ~ $i(v6) | ~ m2_relset_1(v6, v2, % 41.60/6.59 v5) | ~ v1_group_6(v6, v0, v3) | ~ v1_funct_2(v6, v2, v5) | ~ % 41.60/6.59 v1_funct_1(v6) | m4_vectsp_8(v7, v1, v4)))))) % 41.60/6.59 % 41.60/6.59 (t38_latsubgr) % 41.60/6.59 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 41.60/6.59 $i] : ? [v6: $i] : ? [v7: $i] : (k3_latsubgr(v0, v3, v6) = v7 & % 41.60/6.59 k11_group_4(v3) = v5 & k11_group_4(v0) = v2 & u1_struct_0(v3) = v4 & % 41.60/6.59 u1_struct_0(v0) = v1 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 41.60/6.59 $i(v1) & $i(v0) & v2_funct_1(v6) & m2_relset_1(v6, v1, v4) & v1_group_6(v6, % 41.60/6.59 v0, v3) & v1_funct_2(v6, v1, v4) & v1_funct_1(v6) & l1_group_1(v3) & % 41.60/6.59 l1_group_1(v0) & v4_group_1(v3) & v4_group_1(v0) & v3_group_1(v3) & % 41.60/6.59 v3_group_1(v0) & ~ m1_lattice4(v7, v2, v5) & ~ v3_struct_0(v3) & ~ % 41.60/6.59 v3_struct_0(v0)) % 41.60/6.59 % 41.60/6.60 (function-axioms) % 41.60/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 41.60/6.60 | ~ (k3_latsubgr(v4, v3, v2) = v1) | ~ (k3_latsubgr(v4, v3, v2) = v0)) & % 41.60/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 41.60/6.60 | ~ (g3_lattices(v4, v3, v2) = v1) | ~ (g3_lattices(v4, v3, v2) = v0)) & % 41.60/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 41.60/6.60 (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : % 41.60/6.60 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k11_group_4(v2) = v1) | ~ % 41.60/6.60 (k11_group_4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 41.60/6.60 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! % 41.60/6.60 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ % 41.60/6.60 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 41.60/6.60 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0)) & ! [v0: $i] : ! % 41.60/6.60 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~ % 41.60/6.60 (u1_lattices(v2) = v0)) % 41.60/6.60 % 41.60/6.60 Further assumptions not needed in the proof: % 41.60/6.60 -------------------------------------------- % 41.60/6.60 abstractness_v3_lattices, antisymmetry_r2_hidden, cc1_funct_2, cc1_relset_1, % 41.60/6.60 cc6_funct_2, dt_g3_lattices, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1, % 41.60/6.60 dt_l1_lattices, dt_l1_struct_0, dt_m1_lattice4, dt_m1_relset_1, dt_m1_subset_1, % 41.60/6.60 dt_m2_relset_1, dt_m3_vectsp_8, dt_m4_vectsp_8, dt_u1_lattices, dt_u1_struct_0, % 41.60/6.60 dt_u2_lattices, existence_l1_group_1, existence_l1_lattices, % 41.60/6.60 existence_l1_struct_0, existence_l2_lattices, existence_l3_lattices, % 41.60/6.60 existence_m1_lattice4, existence_m1_relset_1, existence_m1_subset_1, % 41.60/6.60 existence_m2_relset_1, existence_m3_vectsp_8, fc1_xboole_0, fc4_subset_1, % 41.60/6.60 free_g3_lattices, rc1_funct_2, rc1_partfun1, rc1_subset_1, rc1_xboole_0, % 41.60/6.60 rc2_partfun1, rc2_subset_1, rc2_xboole_0, rc3_struct_0, reflexivity_r1_tarski, % 41.60/6.60 t1_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole % 41.60/6.60 % 41.60/6.60 Those formulas are unsatisfiable: % 41.60/6.60 --------------------------------- % 41.60/6.60 % 41.60/6.60 Begin of proof % 41.60/6.60 | % 41.60/6.60 | ALPHA: (dt_k11_group_4) implies: % 41.60/6.60 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.60 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.60 | l3_lattices(v1) | v3_struct_0(v0)) % 41.60/6.60 | % 41.60/6.60 | ALPHA: (dt_l3_lattices) implies: % 41.60/6.60 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) % 41.60/6.60 | % 41.60/6.60 | ALPHA: (fc1_group_4) implies: % 41.60/6.61 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.61 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.61 | v10_lattices(v1) | v3_struct_0(v0)) % 41.60/6.61 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ % 41.60/6.61 | l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ % 41.60/6.61 | v3_struct_0(v1) | v3_struct_0(v0)) % 41.60/6.61 | % 41.60/6.61 | ALPHA: (redefinition_m2_relset_1) implies: % 41.60/6.61 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 41.60/6.61 | $i(v0) | ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) % 41.60/6.61 | % 41.60/6.61 | ALPHA: (t11_vectsp_8) implies: % 41.60/6.61 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 41.60/6.61 | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v4) | ~ % 41.60/6.61 | $i(v2) | ~ $i(v0) | ~ m4_vectsp_8(v4, v0, v2) | ~ m3_vectsp_8(v4, % 41.60/6.61 | v0, v2) | ~ v10_lattices(v2) | ~ v10_lattices(v0) | ~ % 41.60/6.61 | l3_lattices(v2) | ~ l3_lattices(v0) | ~ m2_relset_1(v4, v1, v3) | % 41.60/6.61 | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | m1_lattice4(v4, v0, % 41.60/6.61 | v2) | v3_struct_0(v2) | v3_struct_0(v0)) % 41.60/6.61 | % 41.60/6.61 | ALPHA: (function-axioms) implies: % 41.60/6.61 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 41.60/6.61 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) % 41.60/6.61 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 41.60/6.61 | (k11_group_4(v2) = v1) | ~ (k11_group_4(v2) = v0)) % 41.60/6.61 | % 41.60/6.61 | DELTA: instantiating (t38_latsubgr) with fresh symbols all_71_0, all_71_1, % 41.60/6.61 | all_71_2, all_71_3, all_71_4, all_71_5, all_71_6, all_71_7 gives: % 41.60/6.61 | (9) k3_latsubgr(all_71_7, all_71_4, all_71_1) = all_71_0 & % 41.60/6.61 | k11_group_4(all_71_4) = all_71_2 & k11_group_4(all_71_7) = all_71_5 & % 41.60/6.61 | u1_struct_0(all_71_4) = all_71_3 & u1_struct_0(all_71_7) = all_71_6 & % 41.60/6.61 | $i(all_71_0) & $i(all_71_1) & $i(all_71_2) & $i(all_71_3) & % 41.60/6.61 | $i(all_71_4) & $i(all_71_5) & $i(all_71_6) & $i(all_71_7) & % 41.60/6.61 | v2_funct_1(all_71_1) & m2_relset_1(all_71_1, all_71_6, all_71_3) & % 41.60/6.61 | v1_group_6(all_71_1, all_71_7, all_71_4) & v1_funct_2(all_71_1, % 41.60/6.61 | all_71_6, all_71_3) & v1_funct_1(all_71_1) & l1_group_1(all_71_4) & % 41.60/6.61 | l1_group_1(all_71_7) & v4_group_1(all_71_4) & v4_group_1(all_71_7) & % 41.60/6.61 | v3_group_1(all_71_4) & v3_group_1(all_71_7) & ~ m1_lattice4(all_71_0, % 41.60/6.61 | all_71_5, all_71_2) & ~ v3_struct_0(all_71_4) & ~ % 41.60/6.61 | v3_struct_0(all_71_7) % 41.60/6.61 | % 41.60/6.61 | ALPHA: (9) implies: % 41.60/6.61 | (10) ~ v3_struct_0(all_71_7) % 41.60/6.61 | (11) ~ v3_struct_0(all_71_4) % 41.60/6.61 | (12) ~ m1_lattice4(all_71_0, all_71_5, all_71_2) % 41.60/6.61 | (13) v3_group_1(all_71_7) % 41.60/6.61 | (14) v3_group_1(all_71_4) % 41.60/6.61 | (15) v4_group_1(all_71_7) % 41.60/6.61 | (16) v4_group_1(all_71_4) % 41.60/6.61 | (17) l1_group_1(all_71_7) % 41.60/6.61 | (18) l1_group_1(all_71_4) % 41.60/6.61 | (19) v1_funct_1(all_71_1) % 41.60/6.61 | (20) v1_funct_2(all_71_1, all_71_6, all_71_3) % 41.60/6.61 | (21) v1_group_6(all_71_1, all_71_7, all_71_4) % 41.60/6.61 | (22) m2_relset_1(all_71_1, all_71_6, all_71_3) % 41.60/6.61 | (23) v2_funct_1(all_71_1) % 41.60/6.61 | (24) $i(all_71_7) % 41.60/6.61 | (25) $i(all_71_6) % 41.60/6.61 | (26) $i(all_71_4) % 41.60/6.61 | (27) $i(all_71_3) % 41.60/6.61 | (28) $i(all_71_1) % 41.60/6.61 | (29) $i(all_71_0) % 41.60/6.61 | (30) u1_struct_0(all_71_7) = all_71_6 % 41.60/6.61 | (31) u1_struct_0(all_71_4) = all_71_3 % 41.60/6.61 | (32) k11_group_4(all_71_7) = all_71_5 % 41.60/6.61 | (33) k11_group_4(all_71_4) = all_71_2 % 41.60/6.62 | (34) k3_latsubgr(all_71_7, all_71_4, all_71_1) = all_71_0 % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (dt_l1_group_1) with all_71_4, simplifying with % 41.60/6.62 | (18), (26) gives: % 41.60/6.62 | (35) l1_struct_0(all_71_4) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (5) with all_71_6, all_71_3, all_71_1, simplifying % 41.60/6.62 | with (22), (25), (27), (28) gives: % 41.60/6.62 | (36) m1_relset_1(all_71_1, all_71_6, all_71_3) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (3) with all_71_7, all_71_5, simplifying with (10), % 41.60/6.62 | (13), (15), (17), (24), (32) gives: % 41.60/6.62 | (37) v10_lattices(all_71_5) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (1) with all_71_7, all_71_5, simplifying with (10), % 41.60/6.62 | (13), (15), (17), (24), (32) gives: % 41.60/6.62 | (38) l3_lattices(all_71_5) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (t36_latsubgr) with all_71_7, all_71_5, simplifying % 41.60/6.62 | with (10), (13), (15), (17), (24), (32) gives: % 41.60/6.62 | (39) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.62 | [v2: $i] : ( ~ (k11_group_4(v1) = v2) | ~ $i(v1) | ~ % 41.60/6.62 | l1_group_1(v1) | ~ v4_group_1(v1) | ~ v3_group_1(v1) | % 41.60/6.62 | v3_struct_0(v1) | ? [v3: $i] : (u1_struct_0(v1) = v3 & $i(v3) & % 41.60/6.62 | ! [v4: $i] : ! [v5: $i] : ( ~ (k3_latsubgr(all_71_7, v1, v4) = % 41.60/6.62 | v5) | ~ $i(v4) | ~ v2_funct_1(v4) | ~ m2_relset_1(v4, v0, % 41.60/6.62 | v3) | ~ v1_group_6(v4, all_71_7, v1) | ~ v1_funct_2(v4, % 41.60/6.62 | v0, v3) | ~ v1_funct_1(v4) | m3_vectsp_8(v5, all_71_5, % 41.60/6.62 | v2))))) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (t37_latsubgr) with all_71_7, all_71_5, simplifying % 41.60/6.62 | with (10), (13), (15), (17), (24), (32) gives: % 41.60/6.62 | (40) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.62 | [v2: $i] : ( ~ (k11_group_4(v1) = v2) | ~ $i(v1) | ~ % 41.60/6.62 | l1_group_1(v1) | ~ v4_group_1(v1) | ~ v3_group_1(v1) | % 41.60/6.62 | v3_struct_0(v1) | ? [v3: $i] : (u1_struct_0(v1) = v3 & $i(v3) & % 41.60/6.62 | ! [v4: $i] : ! [v5: $i] : ( ~ (k3_latsubgr(all_71_7, v1, v4) = % 41.60/6.62 | v5) | ~ $i(v4) | ~ m2_relset_1(v4, v0, v3) | ~ % 41.60/6.62 | v1_group_6(v4, all_71_7, v1) | ~ v1_funct_2(v4, v0, v3) | ~ % 41.60/6.62 | v1_funct_1(v4) | m4_vectsp_8(v5, all_71_5, v2))))) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (3) with all_71_4, all_71_2, simplifying with (11), % 41.60/6.62 | (14), (16), (18), (26), (33) gives: % 41.60/6.62 | (41) v10_lattices(all_71_2) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (1) with all_71_4, all_71_2, simplifying with (11), % 41.60/6.62 | (14), (16), (18), (26), (33) gives: % 41.60/6.62 | (42) l3_lattices(all_71_2) % 41.60/6.62 | % 41.60/6.62 | GROUND_INST: instantiating (t36_latsubgr) with all_71_4, all_71_2, simplifying % 41.60/6.62 | with (11), (14), (16), (18), (26), (33) gives: % 41.60/6.63 | (43) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.63 | [v2: $i] : ( ~ (k11_group_4(v1) = v2) | ~ $i(v1) | ~ % 41.60/6.63 | l1_group_1(v1) | ~ v4_group_1(v1) | ~ v3_group_1(v1) | % 41.60/6.63 | v3_struct_0(v1) | ? [v3: $i] : (u1_struct_0(v1) = v3 & $i(v3) & % 41.60/6.63 | ! [v4: $i] : ! [v5: $i] : ( ~ (k3_latsubgr(all_71_4, v1, v4) = % 41.60/6.63 | v5) | ~ $i(v4) | ~ v2_funct_1(v4) | ~ m2_relset_1(v4, v0, % 41.60/6.63 | v3) | ~ v1_group_6(v4, all_71_4, v1) | ~ v1_funct_2(v4, % 41.60/6.63 | v0, v3) | ~ v1_funct_1(v4) | m3_vectsp_8(v5, all_71_2, % 41.60/6.63 | v2))))) % 41.60/6.63 | % 41.60/6.63 | GROUND_INST: instantiating (t37_latsubgr) with all_71_4, all_71_2, simplifying % 41.60/6.63 | with (11), (14), (16), (18), (26), (33) gives: % 41.60/6.63 | (44) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.63 | [v2: $i] : ( ~ (k11_group_4(v1) = v2) | ~ $i(v1) | ~ % 41.60/6.63 | l1_group_1(v1) | ~ v4_group_1(v1) | ~ v3_group_1(v1) | % 41.60/6.63 | v3_struct_0(v1) | ? [v3: $i] : (u1_struct_0(v1) = v3 & $i(v3) & % 41.60/6.63 | ! [v4: $i] : ! [v5: $i] : ( ~ (k3_latsubgr(all_71_4, v1, v4) = % 41.60/6.63 | v5) | ~ $i(v4) | ~ m2_relset_1(v4, v0, v3) | ~ % 41.60/6.63 | v1_group_6(v4, all_71_4, v1) | ~ v1_funct_2(v4, v0, v3) | ~ % 41.60/6.63 | v1_funct_1(v4) | m4_vectsp_8(v5, all_71_2, v2))))) % 41.60/6.63 | % 41.60/6.63 | GROUND_INST: instantiating (dt_k3_latsubgr) with all_71_7, all_71_4, all_71_1, % 41.60/6.63 | all_71_0, simplifying with (10), (11), (13), (14), (15), (16), % 41.60/6.63 | (17), (18), (19), (24), (26), (28), (34) gives: % 41.60/6.63 | (45) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 41.60/6.63 | ? [v5: $i] : ((k11_group_4(all_71_4) = v4 & k11_group_4(all_71_7) = v2 % 41.60/6.63 | & u1_struct_0(v4) = v5 & u1_struct_0(v2) = v3 & $i(v5) & $i(v4) & % 41.60/6.63 | $i(v3) & $i(v2) & m2_relset_1(all_71_0, v3, v5) & % 41.60/6.63 | v1_funct_2(all_71_0, v3, v5) & v1_funct_1(all_71_0)) | % 41.60/6.63 | (u1_struct_0(all_71_4) = v1 & u1_struct_0(all_71_7) = v0 & $i(v1) & % 41.60/6.63 | $i(v0) & ( ~ m1_relset_1(all_71_1, v0, v1) | ~ % 41.60/6.63 | v1_funct_2(all_71_1, v0, v1)))) % 41.60/6.63 | % 41.60/6.63 | DELTA: instantiating (40) with fresh symbol all_79_0 gives: % 41.60/6.63 | (46) u1_struct_0(all_71_7) = all_79_0 & $i(all_79_0) & ! [v0: $i] : ! % 41.60/6.63 | [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) % 41.60/6.63 | | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: % 41.60/6.63 | $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : % 41.60/6.63 | ( ~ (k3_latsubgr(all_71_7, v0, v3) = v4) | ~ $i(v3) | ~ % 41.60/6.63 | m2_relset_1(v3, all_79_0, v2) | ~ v1_group_6(v3, all_71_7, v0) % 41.60/6.63 | | ~ v1_funct_2(v3, all_79_0, v2) | ~ v1_funct_1(v3) | % 41.60/6.63 | m4_vectsp_8(v4, all_71_5, v1)))) % 41.60/6.63 | % 41.60/6.63 | ALPHA: (46) implies: % 41.60/6.63 | (47) $i(all_79_0) % 41.60/6.63 | (48) u1_struct_0(all_71_7) = all_79_0 % 41.60/6.63 | (49) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | % 41.60/6.63 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.63 | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! % 41.60/6.63 | [v3: $i] : ! [v4: $i] : ( ~ (k3_latsubgr(all_71_7, v0, v3) = v4) % 41.60/6.63 | | ~ $i(v3) | ~ m2_relset_1(v3, all_79_0, v2) | ~ % 41.60/6.63 | v1_group_6(v3, all_71_7, v0) | ~ v1_funct_2(v3, all_79_0, v2) | % 41.60/6.63 | ~ v1_funct_1(v3) | m4_vectsp_8(v4, all_71_5, v1)))) % 41.60/6.63 | % 41.60/6.63 | GROUND_INST: instantiating (49) with all_71_7, all_71_5, simplifying with % 41.60/6.63 | (10), (13), (15), (17), (24), (32) gives: % 41.60/6.64 | (50) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.64 | [v2: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_7, v1) = v2) | ~ % 41.60/6.64 | $i(v1) | ~ m2_relset_1(v1, all_79_0, v0) | ~ v1_group_6(v1, % 41.60/6.64 | all_71_7, all_71_7) | ~ v1_funct_2(v1, all_79_0, v0) | ~ % 41.60/6.64 | v1_funct_1(v1) | m4_vectsp_8(v2, all_71_5, all_71_5))) % 41.60/6.64 | % 41.60/6.64 | GROUND_INST: instantiating (49) with all_71_4, all_71_2, simplifying with % 41.60/6.64 | (11), (14), (16), (18), (26), (33) gives: % 41.60/6.64 | (51) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.64 | [v2: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v1) = v2) | ~ % 41.60/6.64 | $i(v1) | ~ m2_relset_1(v1, all_79_0, v0) | ~ v1_group_6(v1, % 41.60/6.64 | all_71_7, all_71_4) | ~ v1_funct_2(v1, all_79_0, v0) | ~ % 41.60/6.64 | v1_funct_1(v1) | m4_vectsp_8(v2, all_71_5, all_71_2))) % 41.60/6.64 | % 41.60/6.64 | DELTA: instantiating (51) with fresh symbol all_82_0 gives: % 41.60/6.64 | (52) u1_struct_0(all_71_4) = all_82_0 & $i(all_82_0) & ! [v0: $i] : ! % 41.60/6.64 | [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v0) = v1) | ~ $i(v0) % 41.60/6.64 | | ~ m2_relset_1(v0, all_79_0, all_82_0) | ~ v1_group_6(v0, % 41.60/6.64 | all_71_7, all_71_4) | ~ v1_funct_2(v0, all_79_0, all_82_0) | ~ % 41.60/6.64 | v1_funct_1(v0) | m4_vectsp_8(v1, all_71_5, all_71_2)) % 41.60/6.64 | % 41.60/6.64 | ALPHA: (52) implies: % 41.60/6.64 | (53) $i(all_82_0) % 41.60/6.64 | (54) u1_struct_0(all_71_4) = all_82_0 % 41.60/6.64 | (55) ! [v0: $i] : ! [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v0) = % 41.60/6.64 | v1) | ~ $i(v0) | ~ m2_relset_1(v0, all_79_0, all_82_0) | ~ % 41.60/6.64 | v1_group_6(v0, all_71_7, all_71_4) | ~ v1_funct_2(v0, all_79_0, % 41.60/6.64 | all_82_0) | ~ v1_funct_1(v0) | m4_vectsp_8(v1, all_71_5, % 41.60/6.64 | all_71_2)) % 41.60/6.64 | % 41.60/6.64 | DELTA: instantiating (50) with fresh symbol all_85_0 gives: % 41.60/6.64 | (56) u1_struct_0(all_71_7) = all_85_0 & $i(all_85_0) & ! [v0: $i] : ! % 41.60/6.64 | [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_7, v0) = v1) | ~ $i(v0) % 41.60/6.64 | | ~ m2_relset_1(v0, all_79_0, all_85_0) | ~ v1_group_6(v0, % 41.60/6.64 | all_71_7, all_71_7) | ~ v1_funct_2(v0, all_79_0, all_85_0) | ~ % 41.60/6.64 | v1_funct_1(v0) | m4_vectsp_8(v1, all_71_5, all_71_5)) % 41.60/6.64 | % 41.60/6.64 | ALPHA: (56) implies: % 41.60/6.64 | (57) u1_struct_0(all_71_7) = all_85_0 % 41.60/6.64 | % 41.60/6.64 | DELTA: instantiating (45) with fresh symbols all_88_0, all_88_1, all_88_2, % 41.60/6.64 | all_88_3, all_88_4, all_88_5 gives: % 41.60/6.64 | (58) (k11_group_4(all_71_4) = all_88_1 & k11_group_4(all_71_7) = all_88_3 & % 41.60/6.64 | u1_struct_0(all_88_1) = all_88_0 & u1_struct_0(all_88_3) = all_88_2 % 41.60/6.64 | & $i(all_88_0) & $i(all_88_1) & $i(all_88_2) & $i(all_88_3) & % 41.60/6.64 | m2_relset_1(all_71_0, all_88_2, all_88_0) & v1_funct_2(all_71_0, % 41.60/6.64 | all_88_2, all_88_0) & v1_funct_1(all_71_0)) | % 41.60/6.64 | (u1_struct_0(all_71_4) = all_88_4 & u1_struct_0(all_71_7) = all_88_5 & % 41.60/6.64 | $i(all_88_4) & $i(all_88_5) & ( ~ m1_relset_1(all_71_1, all_88_5, % 41.60/6.64 | all_88_4) | ~ v1_funct_2(all_71_1, all_88_5, all_88_4))) % 41.60/6.64 | % 41.60/6.64 | DELTA: instantiating (44) with fresh symbol all_89_0 gives: % 41.60/6.64 | (59) u1_struct_0(all_71_4) = all_89_0 & $i(all_89_0) & ! [v0: $i] : ! % 41.60/6.64 | [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) % 41.60/6.64 | | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: % 41.60/6.64 | $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : % 41.60/6.64 | ( ~ (k3_latsubgr(all_71_4, v0, v3) = v4) | ~ $i(v3) | ~ % 41.60/6.64 | m2_relset_1(v3, all_89_0, v2) | ~ v1_group_6(v3, all_71_4, v0) % 41.60/6.64 | | ~ v1_funct_2(v3, all_89_0, v2) | ~ v1_funct_1(v3) | % 41.60/6.64 | m4_vectsp_8(v4, all_71_2, v1)))) % 41.60/6.64 | % 41.60/6.64 | ALPHA: (59) implies: % 41.60/6.64 | (60) u1_struct_0(all_71_4) = all_89_0 % 41.60/6.65 | (61) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | % 41.60/6.65 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.65 | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! % 41.60/6.65 | [v3: $i] : ! [v4: $i] : ( ~ (k3_latsubgr(all_71_4, v0, v3) = v4) % 41.60/6.65 | | ~ $i(v3) | ~ m2_relset_1(v3, all_89_0, v2) | ~ % 41.60/6.65 | v1_group_6(v3, all_71_4, v0) | ~ v1_funct_2(v3, all_89_0, v2) | % 41.60/6.65 | ~ v1_funct_1(v3) | m4_vectsp_8(v4, all_71_2, v1)))) % 41.60/6.65 | % 41.60/6.65 | GROUND_INST: instantiating (61) with all_71_7, all_71_5, simplifying with % 41.60/6.65 | (10), (13), (15), (17), (24), (32) gives: % 41.60/6.65 | (62) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.65 | [v2: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_7, v1) = v2) | ~ % 41.60/6.65 | $i(v1) | ~ m2_relset_1(v1, all_89_0, v0) | ~ v1_group_6(v1, % 41.60/6.65 | all_71_4, all_71_7) | ~ v1_funct_2(v1, all_89_0, v0) | ~ % 41.60/6.65 | v1_funct_1(v1) | m4_vectsp_8(v2, all_71_2, all_71_5))) % 41.60/6.65 | % 41.60/6.65 | GROUND_INST: instantiating (61) with all_71_4, all_71_2, simplifying with % 41.60/6.65 | (11), (14), (16), (18), (26), (33) gives: % 41.60/6.65 | (63) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.65 | [v2: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_4, v1) = v2) | ~ % 41.60/6.65 | $i(v1) | ~ m2_relset_1(v1, all_89_0, v0) | ~ v1_group_6(v1, % 41.60/6.65 | all_71_4, all_71_4) | ~ v1_funct_2(v1, all_89_0, v0) | ~ % 41.60/6.65 | v1_funct_1(v1) | m4_vectsp_8(v2, all_71_2, all_71_2))) % 41.60/6.65 | % 41.60/6.65 | DELTA: instantiating (39) with fresh symbol all_92_0 gives: % 41.60/6.65 | (64) u1_struct_0(all_71_7) = all_92_0 & $i(all_92_0) & ! [v0: $i] : ! % 41.60/6.65 | [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) % 41.60/6.65 | | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: % 41.60/6.65 | $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : % 41.60/6.65 | ( ~ (k3_latsubgr(all_71_7, v0, v3) = v4) | ~ $i(v3) | ~ % 41.60/6.65 | v2_funct_1(v3) | ~ m2_relset_1(v3, all_92_0, v2) | ~ % 41.60/6.65 | v1_group_6(v3, all_71_7, v0) | ~ v1_funct_2(v3, all_92_0, v2) | % 41.60/6.65 | ~ v1_funct_1(v3) | m3_vectsp_8(v4, all_71_5, v1)))) % 41.60/6.65 | % 41.60/6.65 | ALPHA: (64) implies: % 41.60/6.65 | (65) u1_struct_0(all_71_7) = all_92_0 % 41.60/6.65 | (66) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | % 41.60/6.65 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.65 | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! % 41.60/6.65 | [v3: $i] : ! [v4: $i] : ( ~ (k3_latsubgr(all_71_7, v0, v3) = v4) % 41.60/6.65 | | ~ $i(v3) | ~ v2_funct_1(v3) | ~ m2_relset_1(v3, all_92_0, % 41.60/6.65 | v2) | ~ v1_group_6(v3, all_71_7, v0) | ~ v1_funct_2(v3, % 41.60/6.65 | all_92_0, v2) | ~ v1_funct_1(v3) | m3_vectsp_8(v4, all_71_5, % 41.60/6.65 | v1)))) % 41.60/6.65 | % 41.60/6.65 | GROUND_INST: instantiating (66) with all_71_7, all_71_5, simplifying with % 41.60/6.65 | (10), (13), (15), (17), (24), (32) gives: % 41.60/6.65 | (67) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.65 | [v2: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_7, v1) = v2) | ~ % 41.60/6.65 | $i(v1) | ~ v2_funct_1(v1) | ~ m2_relset_1(v1, all_92_0, v0) | ~ % 41.60/6.65 | v1_group_6(v1, all_71_7, all_71_7) | ~ v1_funct_2(v1, all_92_0, % 41.60/6.65 | v0) | ~ v1_funct_1(v1) | m3_vectsp_8(v2, all_71_5, all_71_5))) % 41.60/6.65 | % 41.60/6.65 | GROUND_INST: instantiating (66) with all_71_4, all_71_2, simplifying with % 41.60/6.65 | (11), (14), (16), (18), (26), (33) gives: % 41.60/6.65 | (68) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.65 | [v2: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v1) = v2) | ~ % 41.60/6.65 | $i(v1) | ~ v2_funct_1(v1) | ~ m2_relset_1(v1, all_92_0, v0) | ~ % 41.60/6.65 | v1_group_6(v1, all_71_7, all_71_4) | ~ v1_funct_2(v1, all_92_0, % 41.60/6.65 | v0) | ~ v1_funct_1(v1) | m3_vectsp_8(v2, all_71_5, all_71_2))) % 41.60/6.65 | % 41.60/6.65 | DELTA: instantiating (43) with fresh symbol all_95_0 gives: % 41.60/6.66 | (69) u1_struct_0(all_71_4) = all_95_0 & $i(all_95_0) & ! [v0: $i] : ! % 41.60/6.66 | [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | ~ l1_group_1(v0) % 41.60/6.66 | | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2: % 41.60/6.66 | $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : % 41.60/6.66 | ( ~ (k3_latsubgr(all_71_4, v0, v3) = v4) | ~ $i(v3) | ~ % 41.60/6.66 | v2_funct_1(v3) | ~ m2_relset_1(v3, all_95_0, v2) | ~ % 41.60/6.66 | v1_group_6(v3, all_71_4, v0) | ~ v1_funct_2(v3, all_95_0, v2) | % 41.60/6.66 | ~ v1_funct_1(v3) | m3_vectsp_8(v4, all_71_2, v1)))) % 41.60/6.66 | % 41.60/6.66 | ALPHA: (69) implies: % 41.60/6.66 | (70) u1_struct_0(all_71_4) = all_95_0 % 41.60/6.66 | (71) ! [v0: $i] : ! [v1: $i] : ( ~ (k11_group_4(v0) = v1) | ~ $i(v0) | % 41.60/6.66 | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | % 41.60/6.66 | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 & $i(v2) & ! % 41.60/6.66 | [v3: $i] : ! [v4: $i] : ( ~ (k3_latsubgr(all_71_4, v0, v3) = v4) % 41.60/6.66 | | ~ $i(v3) | ~ v2_funct_1(v3) | ~ m2_relset_1(v3, all_95_0, % 41.60/6.66 | v2) | ~ v1_group_6(v3, all_71_4, v0) | ~ v1_funct_2(v3, % 41.60/6.66 | all_95_0, v2) | ~ v1_funct_1(v3) | m3_vectsp_8(v4, all_71_2, % 41.60/6.66 | v1)))) % 41.60/6.66 | % 41.60/6.66 | GROUND_INST: instantiating (71) with all_71_7, all_71_5, simplifying with % 41.60/6.66 | (10), (13), (15), (17), (24), (32) gives: % 41.60/6.66 | (72) ? [v0: $i] : (u1_struct_0(all_71_7) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.66 | [v2: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_7, v1) = v2) | ~ % 41.60/6.66 | $i(v1) | ~ v2_funct_1(v1) | ~ m2_relset_1(v1, all_95_0, v0) | ~ % 41.60/6.66 | v1_group_6(v1, all_71_4, all_71_7) | ~ v1_funct_2(v1, all_95_0, % 41.60/6.66 | v0) | ~ v1_funct_1(v1) | m3_vectsp_8(v2, all_71_2, all_71_5))) % 41.60/6.66 | % 41.60/6.66 | GROUND_INST: instantiating (71) with all_71_4, all_71_2, simplifying with % 41.60/6.66 | (11), (14), (16), (18), (26), (33) gives: % 41.60/6.66 | (73) ? [v0: $i] : (u1_struct_0(all_71_4) = v0 & $i(v0) & ! [v1: $i] : ! % 41.60/6.66 | [v2: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_4, v1) = v2) | ~ % 41.60/6.66 | $i(v1) | ~ v2_funct_1(v1) | ~ m2_relset_1(v1, all_95_0, v0) | ~ % 41.60/6.66 | v1_group_6(v1, all_71_4, all_71_4) | ~ v1_funct_2(v1, all_95_0, % 41.60/6.66 | v0) | ~ v1_funct_1(v1) | m3_vectsp_8(v2, all_71_2, all_71_2))) % 41.60/6.66 | % 41.60/6.66 | DELTA: instantiating (63) with fresh symbol all_98_0 gives: % 41.60/6.66 | (74) u1_struct_0(all_71_4) = all_98_0 & $i(all_98_0) & ! [v0: $i] : ! % 41.60/6.66 | [v1: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_4, v0) = v1) | ~ $i(v0) % 41.60/6.66 | | ~ m2_relset_1(v0, all_89_0, all_98_0) | ~ v1_group_6(v0, % 41.60/6.66 | all_71_4, all_71_4) | ~ v1_funct_2(v0, all_89_0, all_98_0) | ~ % 41.60/6.66 | v1_funct_1(v0) | m4_vectsp_8(v1, all_71_2, all_71_2)) % 41.60/6.66 | % 41.60/6.66 | ALPHA: (74) implies: % 41.60/6.66 | (75) u1_struct_0(all_71_4) = all_98_0 % 41.60/6.66 | % 41.60/6.66 | DELTA: instantiating (62) with fresh symbol all_101_0 gives: % 41.60/6.66 | (76) u1_struct_0(all_71_7) = all_101_0 & $i(all_101_0) & ! [v0: $i] : ! % 41.60/6.66 | [v1: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_7, v0) = v1) | ~ $i(v0) % 41.60/6.66 | | ~ m2_relset_1(v0, all_89_0, all_101_0) | ~ v1_group_6(v0, % 41.60/6.66 | all_71_4, all_71_7) | ~ v1_funct_2(v0, all_89_0, all_101_0) | ~ % 41.60/6.66 | v1_funct_1(v0) | m4_vectsp_8(v1, all_71_2, all_71_5)) % 41.60/6.66 | % 41.60/6.66 | ALPHA: (76) implies: % 41.60/6.66 | (77) u1_struct_0(all_71_7) = all_101_0 % 41.60/6.66 | % 41.60/6.66 | DELTA: instantiating (68) with fresh symbol all_104_0 gives: % 41.60/6.66 | (78) u1_struct_0(all_71_4) = all_104_0 & $i(all_104_0) & ! [v0: $i] : ! % 41.60/6.66 | [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v0) = v1) | ~ $i(v0) % 41.60/6.66 | | ~ v2_funct_1(v0) | ~ m2_relset_1(v0, all_92_0, all_104_0) | ~ % 41.60/6.66 | v1_group_6(v0, all_71_7, all_71_4) | ~ v1_funct_2(v0, all_92_0, % 41.60/6.66 | all_104_0) | ~ v1_funct_1(v0) | m3_vectsp_8(v1, all_71_5, % 41.60/6.66 | all_71_2)) % 41.60/6.66 | % 41.60/6.66 | ALPHA: (78) implies: % 41.60/6.66 | (79) u1_struct_0(all_71_4) = all_104_0 % 41.60/6.66 | (80) ! [v0: $i] : ! [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_4, v0) = % 41.60/6.66 | v1) | ~ $i(v0) | ~ v2_funct_1(v0) | ~ m2_relset_1(v0, all_92_0, % 41.60/6.66 | all_104_0) | ~ v1_group_6(v0, all_71_7, all_71_4) | ~ % 41.60/6.66 | v1_funct_2(v0, all_92_0, all_104_0) | ~ v1_funct_1(v0) | % 41.60/6.66 | m3_vectsp_8(v1, all_71_5, all_71_2)) % 41.60/6.66 | % 41.60/6.66 | DELTA: instantiating (67) with fresh symbol all_107_0 gives: % 41.60/6.67 | (81) u1_struct_0(all_71_7) = all_107_0 & $i(all_107_0) & ! [v0: $i] : ! % 41.60/6.67 | [v1: $i] : ( ~ (k3_latsubgr(all_71_7, all_71_7, v0) = v1) | ~ $i(v0) % 41.60/6.67 | | ~ v2_funct_1(v0) | ~ m2_relset_1(v0, all_92_0, all_107_0) | ~ % 41.60/6.67 | v1_group_6(v0, all_71_7, all_71_7) | ~ v1_funct_2(v0, all_92_0, % 41.60/6.67 | all_107_0) | ~ v1_funct_1(v0) | m3_vectsp_8(v1, all_71_5, % 41.60/6.67 | all_71_5)) % 41.60/6.67 | % 41.60/6.67 | ALPHA: (81) implies: % 41.60/6.67 | (82) u1_struct_0(all_71_7) = all_107_0 % 41.60/6.67 | % 41.60/6.67 | DELTA: instantiating (73) with fresh symbol all_110_0 gives: % 41.60/6.67 | (83) u1_struct_0(all_71_4) = all_110_0 & $i(all_110_0) & ! [v0: $i] : ! % 41.60/6.67 | [v1: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_4, v0) = v1) | ~ $i(v0) % 41.60/6.67 | | ~ v2_funct_1(v0) | ~ m2_relset_1(v0, all_95_0, all_110_0) | ~ % 41.60/6.67 | v1_group_6(v0, all_71_4, all_71_4) | ~ v1_funct_2(v0, all_95_0, % 41.60/6.67 | all_110_0) | ~ v1_funct_1(v0) | m3_vectsp_8(v1, all_71_2, % 41.60/6.67 | all_71_2)) % 41.60/6.67 | % 41.60/6.67 | ALPHA: (83) implies: % 41.60/6.67 | (84) u1_struct_0(all_71_4) = all_110_0 % 41.60/6.67 | % 41.60/6.67 | DELTA: instantiating (72) with fresh symbol all_113_0 gives: % 41.60/6.67 | (85) u1_struct_0(all_71_7) = all_113_0 & $i(all_113_0) & ! [v0: $i] : ! % 41.60/6.67 | [v1: $i] : ( ~ (k3_latsubgr(all_71_4, all_71_7, v0) = v1) | ~ $i(v0) % 41.60/6.67 | | ~ v2_funct_1(v0) | ~ m2_relset_1(v0, all_95_0, all_113_0) | ~ % 41.60/6.67 | v1_group_6(v0, all_71_4, all_71_7) | ~ v1_funct_2(v0, all_95_0, % 41.60/6.67 | all_113_0) | ~ v1_funct_1(v0) | m3_vectsp_8(v1, all_71_2, % 41.60/6.67 | all_71_5)) % 41.60/6.67 | % 41.60/6.67 | ALPHA: (85) implies: % 41.60/6.67 | (86) u1_struct_0(all_71_7) = all_113_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_79_0, all_101_0, all_71_7, simplifying % 41.60/6.67 | with (48), (77) gives: % 41.60/6.67 | (87) all_101_0 = all_79_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_71_6, all_107_0, all_71_7, simplifying % 41.60/6.67 | with (30), (82) gives: % 41.60/6.67 | (88) all_107_0 = all_71_6 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_101_0, all_107_0, all_71_7, % 41.60/6.67 | simplifying with (77), (82) gives: % 41.60/6.67 | (89) all_107_0 = all_101_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_92_0, all_107_0, all_71_7, simplifying % 41.60/6.67 | with (65), (82) gives: % 41.60/6.67 | (90) all_107_0 = all_92_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_107_0, all_113_0, all_71_7, % 41.60/6.67 | simplifying with (82), (86) gives: % 41.60/6.67 | (91) all_113_0 = all_107_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_85_0, all_113_0, all_71_7, simplifying % 41.60/6.67 | with (57), (86) gives: % 41.60/6.67 | (92) all_113_0 = all_85_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_71_3, all_98_0, all_71_4, simplifying % 41.60/6.67 | with (31), (75) gives: % 41.60/6.67 | (93) all_98_0 = all_71_3 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_89_0, all_98_0, all_71_4, simplifying % 41.60/6.67 | with (60), (75) gives: % 41.60/6.67 | (94) all_98_0 = all_89_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_82_0, all_104_0, all_71_4, simplifying % 41.60/6.67 | with (54), (79) gives: % 41.60/6.67 | (95) all_104_0 = all_82_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_104_0, all_110_0, all_71_4, % 41.60/6.67 | simplifying with (79), (84) gives: % 41.60/6.67 | (96) all_110_0 = all_104_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_98_0, all_110_0, all_71_4, simplifying % 41.60/6.67 | with (75), (84) gives: % 41.60/6.67 | (97) all_110_0 = all_98_0 % 41.60/6.67 | % 41.60/6.67 | GROUND_INST: instantiating (7) with all_95_0, all_110_0, all_71_4, simplifying % 41.60/6.67 | with (70), (84) gives: % 41.60/6.67 | (98) all_110_0 = all_95_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (91), (92) imply: % 41.60/6.67 | (99) all_107_0 = all_85_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (99) implies: % 41.60/6.67 | (100) all_107_0 = all_85_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (96), (98) imply: % 41.60/6.67 | (101) all_104_0 = all_95_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (101) implies: % 41.60/6.67 | (102) all_104_0 = all_95_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (97), (98) imply: % 41.60/6.67 | (103) all_98_0 = all_95_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (103) implies: % 41.60/6.67 | (104) all_98_0 = all_95_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (89), (90) imply: % 41.60/6.67 | (105) all_101_0 = all_92_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (105) implies: % 41.60/6.67 | (106) all_101_0 = all_92_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (88), (90) imply: % 41.60/6.67 | (107) all_92_0 = all_71_6 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (90), (100) imply: % 41.60/6.67 | (108) all_92_0 = all_85_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (95), (102) imply: % 41.60/6.67 | (109) all_95_0 = all_82_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (109) implies: % 41.60/6.67 | (110) all_95_0 = all_82_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (87), (106) imply: % 41.60/6.67 | (111) all_92_0 = all_79_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (111) implies: % 41.60/6.67 | (112) all_92_0 = all_79_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (94), (104) imply: % 41.60/6.67 | (113) all_95_0 = all_89_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (113) implies: % 41.60/6.67 | (114) all_95_0 = all_89_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (93), (94) imply: % 41.60/6.67 | (115) all_89_0 = all_71_3 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (110), (114) imply: % 41.60/6.67 | (116) all_89_0 = all_82_0 % 41.60/6.67 | % 41.60/6.67 | SIMP: (116) implies: % 41.60/6.67 | (117) all_89_0 = all_82_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (108), (112) imply: % 41.60/6.67 | (118) all_85_0 = all_79_0 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (107), (108) imply: % 41.60/6.67 | (119) all_85_0 = all_71_6 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (115), (117) imply: % 41.60/6.67 | (120) all_82_0 = all_71_3 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (118), (119) imply: % 41.60/6.67 | (121) all_79_0 = all_71_6 % 41.60/6.67 | % 41.60/6.67 | COMBINE_EQS: (95), (120) imply: % 41.60/6.67 | (122) all_104_0 = all_71_3 % 41.60/6.67 | % 41.60/6.67 | BETA: splitting (58) gives: % 41.60/6.67 | % 41.60/6.67 | Case 1: % 41.60/6.67 | | % 41.60/6.68 | | (123) k11_group_4(all_71_4) = all_88_1 & k11_group_4(all_71_7) = all_88_3 % 41.60/6.68 | | & u1_struct_0(all_88_1) = all_88_0 & u1_struct_0(all_88_3) = % 41.60/6.68 | | all_88_2 & $i(all_88_0) & $i(all_88_1) & $i(all_88_2) & % 41.60/6.68 | | $i(all_88_3) & m2_relset_1(all_71_0, all_88_2, all_88_0) & % 41.60/6.68 | | v1_funct_2(all_71_0, all_88_2, all_88_0) & v1_funct_1(all_71_0) % 41.60/6.68 | | % 41.60/6.68 | | ALPHA: (123) implies: % 41.60/6.68 | | (124) v1_funct_1(all_71_0) % 41.60/6.68 | | (125) v1_funct_2(all_71_0, all_88_2, all_88_0) % 41.60/6.68 | | (126) m2_relset_1(all_71_0, all_88_2, all_88_0) % 41.60/6.68 | | (127) $i(all_88_3) % 41.60/6.68 | | (128) $i(all_88_1) % 41.60/6.68 | | (129) $i(all_88_0) % 41.60/6.68 | | (130) u1_struct_0(all_88_3) = all_88_2 % 41.60/6.68 | | (131) u1_struct_0(all_88_1) = all_88_0 % 41.60/6.68 | | (132) k11_group_4(all_71_7) = all_88_3 % 41.60/6.68 | | (133) k11_group_4(all_71_4) = all_88_1 % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (8) with all_71_5, all_88_3, all_71_7, % 41.60/6.68 | | simplifying with (32), (132) gives: % 41.60/6.68 | | (134) all_88_3 = all_71_5 % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (8) with all_71_2, all_88_1, all_71_4, % 41.60/6.68 | | simplifying with (33), (133) gives: % 41.60/6.68 | | (135) all_88_1 = all_71_2 % 41.60/6.68 | | % 41.60/6.68 | | REDUCE: (131), (135) imply: % 41.60/6.68 | | (136) u1_struct_0(all_71_2) = all_88_0 % 41.60/6.68 | | % 41.60/6.68 | | REDUCE: (130), (134) imply: % 41.60/6.68 | | (137) u1_struct_0(all_71_5) = all_88_2 % 41.60/6.68 | | % 41.60/6.68 | | REDUCE: (128), (135) imply: % 41.60/6.68 | | (138) $i(all_71_2) % 41.60/6.68 | | % 41.60/6.68 | | REDUCE: (127), (134) imply: % 41.60/6.68 | | (139) $i(all_71_5) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (2) with all_71_2, simplifying with (42), (138) % 41.60/6.68 | | gives: % 41.60/6.68 | | (140) l2_lattices(all_71_2) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (cc5_funct_2) with all_71_6, all_71_3, all_71_1, % 41.60/6.68 | | simplifying with (19), (20), (25), (27), (28), (36) gives: % 41.60/6.68 | | (141) v1_xboole_0(all_71_3) | v1_partfun1(all_71_1, all_71_6, all_71_3) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (existence_m4_vectsp_8) with all_71_5, all_71_5, % 41.60/6.68 | | simplifying with (37), (38), (139) gives: % 41.60/6.68 | | (142) v3_struct_0(all_71_5) | ? [v0: $i] : ($i(v0) & m4_vectsp_8(v0, % 41.60/6.68 | | all_71_5, all_71_5)) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (existence_m4_vectsp_8) with all_71_2, all_71_2, % 41.60/6.68 | | simplifying with (41), (42), (138) gives: % 41.60/6.68 | | (143) v3_struct_0(all_71_2) | ? [v0: $i] : ($i(v0) & m4_vectsp_8(v0, % 41.60/6.68 | | all_71_2, all_71_2)) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (dt_l2_lattices) with all_71_2, simplifying with % 41.60/6.68 | | (138), (140) gives: % 41.60/6.68 | | (144) l1_struct_0(all_71_2) % 41.60/6.68 | | % 41.60/6.68 | | GROUND_INST: instantiating (rc5_struct_0) with all_71_2, all_88_0, % 41.60/6.68 | | simplifying with (136), (138), (144) gives: % 41.60/6.68 | | (145) v3_struct_0(all_71_2) | ? [v0: $i] : ? [v1: $i] : % 41.60/6.68 | | (k1_zfmisc_1(all_88_0) = v0 & $i(v1) & $i(v0) & m1_subset_1(v1, v0) % 41.60/6.68 | | & ~ v1_xboole_0(v1)) % 41.60/6.68 | | % 41.60/6.68 | | BETA: splitting (142) gives: % 41.60/6.68 | | % 41.60/6.68 | | Case 1: % 41.60/6.68 | | | % 41.60/6.68 | | | (146) v3_struct_0(all_71_5) % 41.60/6.68 | | | % 41.60/6.68 | | | GROUND_INST: instantiating (4) with all_71_7, all_71_5, simplifying with % 41.60/6.68 | | | (10), (13), (15), (17), (24), (32), (146) gives: % 41.60/6.68 | | | (147) $false % 41.60/6.68 | | | % 41.60/6.68 | | | CLOSE: (147) is inconsistent. % 41.60/6.68 | | | % 41.60/6.68 | | Case 2: % 41.60/6.68 | | | % 41.60/6.68 | | | (148) ~ v3_struct_0(all_71_5) % 41.60/6.68 | | | % 41.60/6.68 | | | BETA: splitting (143) gives: % 41.60/6.68 | | | % 41.60/6.68 | | | Case 1: % 41.60/6.68 | | | | % 41.60/6.68 | | | | (149) v3_struct_0(all_71_2) % 41.60/6.68 | | | | % 41.60/6.68 | | | | GROUND_INST: instantiating (4) with all_71_4, all_71_2, simplifying with % 41.60/6.68 | | | | (11), (14), (16), (18), (26), (33), (149) gives: % 41.60/6.68 | | | | (150) $false % 41.60/6.68 | | | | % 41.60/6.68 | | | | CLOSE: (150) is inconsistent. % 41.60/6.68 | | | | % 41.60/6.68 | | | Case 2: % 41.60/6.68 | | | | % 41.60/6.68 | | | | (151) ~ v3_struct_0(all_71_2) % 41.60/6.68 | | | | % 41.60/6.68 | | | | BETA: splitting (145) gives: % 41.60/6.68 | | | | % 41.60/6.68 | | | | Case 1: % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | (152) v3_struct_0(all_71_2) % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | PRED_UNIFY: (151), (152) imply: % 41.60/6.68 | | | | | (153) $false % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | CLOSE: (153) is inconsistent. % 41.60/6.68 | | | | | % 41.60/6.68 | | | | Case 2: % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | (154) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_88_0) = v0 & % 41.60/6.68 | | | | | $i(v1) & $i(v0) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1)) % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | DELTA: instantiating (154) with fresh symbols all_270_0, all_270_1 % 41.60/6.68 | | | | | gives: % 41.60/6.68 | | | | | (155) k1_zfmisc_1(all_88_0) = all_270_1 & $i(all_270_0) & % 41.60/6.68 | | | | | $i(all_270_1) & m1_subset_1(all_270_0, all_270_1) & ~ % 41.60/6.68 | | | | | v1_xboole_0(all_270_0) % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | ALPHA: (155) implies: % 41.60/6.68 | | | | | (156) m1_subset_1(all_270_0, all_270_1) % 41.60/6.68 | | | | | (157) $i(all_270_1) % 41.60/6.68 | | | | | (158) $i(all_270_0) % 41.60/6.68 | | | | | (159) k1_zfmisc_1(all_88_0) = all_270_1 % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | BETA: splitting (141) gives: % 41.60/6.68 | | | | | % 41.60/6.68 | | | | | Case 1: % 41.60/6.68 | | | | | | % 41.60/6.68 | | | | | | (160) v1_xboole_0(all_71_3) % 41.60/6.68 | | | | | | % 41.60/6.68 | | | | | | GROUND_INST: instantiating (fc1_struct_0) with all_71_4, all_71_3, % 41.60/6.68 | | | | | | simplifying with (11), (26), (31), (35), (160) gives: % 41.60/6.69 | | | | | | (161) $false % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | | CLOSE: (161) is inconsistent. % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | Case 2: % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | | GROUND_INST: instantiating (t2_subset) with all_270_0, all_270_1, % 41.60/6.69 | | | | | | simplifying with (156), (157), (158) gives: % 41.60/6.69 | | | | | | (162) v1_xboole_0(all_270_1) | r2_hidden(all_270_0, all_270_1) % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | | BETA: splitting (162) gives: % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | | Case 1: % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | (163) v1_xboole_0(all_270_1) % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | GROUND_INST: instantiating (fc1_subset_1) with all_88_0, % 41.60/6.69 | | | | | | | all_270_1, simplifying with (129), (159), (163) % 41.60/6.69 | | | | | | | gives: % 41.60/6.69 | | | | | | | (164) $false % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | CLOSE: (164) is inconsistent. % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | Case 2: % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | GROUND_INST: instantiating (80) with all_71_1, all_71_0, % 41.60/6.69 | | | | | | | simplifying with (19), (21), (23), (28), (34) gives: % 41.60/6.69 | | | | | | | (165) ~ m2_relset_1(all_71_1, all_92_0, all_104_0) | ~ % 41.60/6.69 | | | | | | | v1_funct_2(all_71_1, all_92_0, all_104_0) | % 41.60/6.69 | | | | | | | m3_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | GROUND_INST: instantiating (55) with all_71_1, all_71_0, % 41.60/6.69 | | | | | | | simplifying with (19), (21), (28), (34) gives: % 41.60/6.69 | | | | | | | (166) ~ m2_relset_1(all_71_1, all_79_0, all_82_0) | ~ % 41.60/6.69 | | | | | | | v1_funct_2(all_71_1, all_79_0, all_82_0) | % 41.60/6.69 | | | | | | | m4_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | BETA: splitting (166) gives: % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | | Case 1: % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | (167) ~ m2_relset_1(all_71_1, all_79_0, all_82_0) % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | REDUCE: (120), (121), (167) imply: % 41.60/6.69 | | | | | | | | (168) ~ m2_relset_1(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | PRED_UNIFY: (22), (168) imply: % 41.60/6.69 | | | | | | | | (169) $false % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | CLOSE: (169) is inconsistent. % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | Case 2: % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | (170) m2_relset_1(all_71_1, all_79_0, all_82_0) % 41.60/6.69 | | | | | | | | (171) ~ v1_funct_2(all_71_1, all_79_0, all_82_0) | % 41.60/6.69 | | | | | | | | m4_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | BETA: splitting (171) gives: % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | | Case 1: % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | (172) ~ v1_funct_2(all_71_1, all_79_0, all_82_0) % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | REDUCE: (120), (121), (172) imply: % 41.60/6.69 | | | | | | | | | (173) ~ v1_funct_2(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | PRED_UNIFY: (20), (173) imply: % 41.60/6.69 | | | | | | | | | (174) $false % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | CLOSE: (174) is inconsistent. % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | Case 2: % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | (175) v1_funct_2(all_71_1, all_79_0, all_82_0) % 41.60/6.69 | | | | | | | | | (176) m4_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | BETA: splitting (165) gives: % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | | Case 1: % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | (177) ~ m2_relset_1(all_71_1, all_92_0, all_104_0) % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | REDUCE: (107), (122), (177) imply: % 41.60/6.69 | | | | | | | | | | (178) ~ m2_relset_1(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | PRED_UNIFY: (22), (178) imply: % 41.60/6.69 | | | | | | | | | | (179) $false % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | CLOSE: (179) is inconsistent. % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | Case 2: % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | (180) ~ v1_funct_2(all_71_1, all_92_0, all_104_0) | % 41.60/6.69 | | | | | | | | | | m3_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | BETA: splitting (180) gives: % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | Case 1: % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | (181) ~ v1_funct_2(all_71_1, all_92_0, all_104_0) % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | REDUCE: (107), (122), (181) imply: % 41.60/6.69 | | | | | | | | | | | (182) ~ v1_funct_2(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | PRED_UNIFY: (20), (182) imply: % 41.60/6.69 | | | | | | | | | | | (183) $false % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | CLOSE: (183) is inconsistent. % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | Case 2: % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | (184) m3_vectsp_8(all_71_0, all_71_5, all_71_2) % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | GROUND_INST: instantiating (6) with all_71_5, all_88_2, % 41.60/6.69 | | | | | | | | | | | all_71_2, all_88_0, all_71_0, simplifying with % 41.60/6.69 | | | | | | | | | | | (12), (29), (37), (38), (41), (42), (124), (125), % 41.60/6.69 | | | | | | | | | | | (126), (136), (137), (138), (139), (148), (151), % 41.60/6.69 | | | | | | | | | | | (176), (184) gives: % 41.60/6.69 | | | | | | | | | | | (185) $false % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | | CLOSE: (185) is inconsistent. % 41.60/6.69 | | | | | | | | | | | % 41.60/6.69 | | | | | | | | | | End of split % 41.60/6.69 | | | | | | | | | | % 41.60/6.69 | | | | | | | | | End of split % 41.60/6.69 | | | | | | | | | % 41.60/6.69 | | | | | | | | End of split % 41.60/6.69 | | | | | | | | % 41.60/6.69 | | | | | | | End of split % 41.60/6.69 | | | | | | | % 41.60/6.69 | | | | | | End of split % 41.60/6.69 | | | | | | % 41.60/6.69 | | | | | End of split % 41.60/6.69 | | | | | % 41.60/6.69 | | | | End of split % 41.60/6.69 | | | | % 41.60/6.69 | | | End of split % 41.60/6.69 | | | % 41.60/6.69 | | End of split % 41.60/6.69 | | % 41.60/6.69 | Case 2: % 41.60/6.69 | | % 41.60/6.69 | | (186) u1_struct_0(all_71_4) = all_88_4 & u1_struct_0(all_71_7) = all_88_5 % 41.60/6.69 | | & $i(all_88_4) & $i(all_88_5) & ( ~ m1_relset_1(all_71_1, all_88_5, % 41.60/6.69 | | all_88_4) | ~ v1_funct_2(all_71_1, all_88_5, all_88_4)) % 41.60/6.69 | | % 41.60/6.69 | | ALPHA: (186) implies: % 41.60/6.69 | | (187) u1_struct_0(all_71_7) = all_88_5 % 41.60/6.69 | | (188) u1_struct_0(all_71_4) = all_88_4 % 41.60/6.69 | | (189) ~ m1_relset_1(all_71_1, all_88_5, all_88_4) | ~ % 41.60/6.69 | | v1_funct_2(all_71_1, all_88_5, all_88_4) % 41.60/6.69 | | % 41.60/6.69 | | GROUND_INST: instantiating (7) with all_71_6, all_88_5, all_71_7, % 41.60/6.69 | | simplifying with (30), (187) gives: % 41.60/6.69 | | (190) all_88_5 = all_71_6 % 41.60/6.69 | | % 41.60/6.69 | | GROUND_INST: instantiating (7) with all_71_3, all_88_4, all_71_4, % 41.60/6.69 | | simplifying with (31), (188) gives: % 41.60/6.69 | | (191) all_88_4 = all_71_3 % 41.60/6.69 | | % 41.60/6.69 | | BETA: splitting (189) gives: % 41.60/6.69 | | % 41.60/6.69 | | Case 1: % 41.60/6.69 | | | % 41.60/6.69 | | | (192) ~ m1_relset_1(all_71_1, all_88_5, all_88_4) % 41.60/6.69 | | | % 41.60/6.69 | | | REDUCE: (190), (191), (192) imply: % 41.60/6.69 | | | (193) ~ m1_relset_1(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | % 41.60/6.69 | | | PRED_UNIFY: (36), (193) imply: % 41.60/6.69 | | | (194) $false % 41.60/6.69 | | | % 41.60/6.69 | | | CLOSE: (194) is inconsistent. % 41.60/6.69 | | | % 41.60/6.69 | | Case 2: % 41.60/6.69 | | | % 41.60/6.69 | | | (195) ~ v1_funct_2(all_71_1, all_88_5, all_88_4) % 41.60/6.69 | | | % 41.60/6.69 | | | REDUCE: (190), (191), (195) imply: % 41.60/6.69 | | | (196) ~ v1_funct_2(all_71_1, all_71_6, all_71_3) % 41.60/6.69 | | | % 41.60/6.69 | | | PRED_UNIFY: (20), (196) imply: % 41.60/6.69 | | | (197) $false % 41.60/6.69 | | | % 41.60/6.69 | | | CLOSE: (197) is inconsistent. % 41.60/6.69 | | | % 41.60/6.69 | | End of split % 41.60/6.69 | | % 41.60/6.69 | End of split % 41.60/6.69 | % 41.60/6.69 End of proof % 41.60/6.69 % SZS output end Proof for theBenchmark % 41.60/6.69 % 41.60/6.69 6073ms %------------------------------------------------------------------------------