TSTP Solution File: LAT326+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT326+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 06:24:47 EDT 2023
% Result : Theorem 20.71s 3.49s
% Output : Proof 30.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT326+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 06:20:45 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.58 ________ _____
% 0.17/0.58 ___ __ \_________(_)________________________________
% 0.17/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.17/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.17/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.17/0.58
% 0.17/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.58 (2023-06-19)
% 0.17/0.58
% 0.17/0.58 (c) Philipp Rümmer, 2009-2023
% 0.17/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.58 Amanda Stjerna.
% 0.17/0.58 Free software under BSD-3-Clause.
% 0.17/0.58
% 0.17/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.58
% 0.17/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.59 Running up to 7 provers in parallel.
% 0.17/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.87/1.20 Prover 4: Preprocessing ...
% 3.87/1.20 Prover 1: Preprocessing ...
% 3.87/1.25 Prover 3: Preprocessing ...
% 3.87/1.25 Prover 0: Preprocessing ...
% 3.87/1.25 Prover 2: Preprocessing ...
% 3.87/1.25 Prover 5: Preprocessing ...
% 3.87/1.25 Prover 6: Preprocessing ...
% 9.68/2.08 Prover 1: Warning: ignoring some quantifiers
% 9.68/2.14 Prover 3: Warning: ignoring some quantifiers
% 9.68/2.15 Prover 5: Proving ...
% 9.68/2.17 Prover 1: Constructing countermodel ...
% 10.56/2.22 Prover 3: Constructing countermodel ...
% 10.56/2.26 Prover 6: Proving ...
% 12.16/2.35 Prover 2: Proving ...
% 20.71/3.49 Prover 5: proved (2881ms)
% 20.71/3.49
% 20.71/3.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.71/3.49
% 20.71/3.49 Prover 3: stopped
% 20.71/3.50 Prover 6: stopped
% 20.71/3.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 20.71/3.51 Prover 2: stopped
% 20.71/3.52 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 20.71/3.52 Prover 0: stopped
% 20.71/3.53 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 20.71/3.53 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 20.71/3.53 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 21.56/3.64 Prover 7: Preprocessing ...
% 22.06/3.71 Prover 8: Preprocessing ...
% 22.06/3.72 Prover 11: Preprocessing ...
% 22.06/3.74 Prover 10: Preprocessing ...
% 22.06/3.74 Prover 13: Preprocessing ...
% 23.34/3.83 Prover 7: Warning: ignoring some quantifiers
% 23.34/3.84 Prover 10: Warning: ignoring some quantifiers
% 23.45/3.86 Prover 10: Constructing countermodel ...
% 23.45/3.87 Prover 7: Constructing countermodel ...
% 23.45/3.90 Prover 13: Warning: ignoring some quantifiers
% 23.98/3.93 Prover 13: Constructing countermodel ...
% 23.98/3.95 Prover 8: Warning: ignoring some quantifiers
% 24.40/3.97 Prover 8: Constructing countermodel ...
% 30.21/4.82 Prover 10: Found proof (size 196)
% 30.21/4.83 Prover 10: proved (1308ms)
% 30.21/4.83 Prover 4: stopped
% 30.21/4.83 Prover 7: stopped
% 30.21/4.83 Prover 11: stopped
% 30.21/4.83 Prover 1: stopped
% 30.21/4.83 Prover 13: stopped
% 30.77/4.83 Prover 8: stopped
% 30.77/4.83
% 30.77/4.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.77/4.83
% 30.77/4.85 % SZS output start Proof for theBenchmark
% 30.77/4.85 Assumptions after simplification:
% 30.77/4.85 ---------------------------------
% 30.77/4.85
% 30.77/4.85 (cc1_lattices)
% 30.77/4.86 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.86 v9_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 30.77/4.86 l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) &
% 30.77/4.86 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.86 v7_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 30.77/4.86 l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) &
% 30.77/4.86 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.86 v5_lattices(v0) | v3_struct_0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 30.77/4.86 l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 30.77/4.86
% 30.77/4.86 (dt_l2_lattices)
% 30.77/4.86 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0))
% 30.77/4.86
% 30.77/4.86 (dt_l3_lattices)
% 30.77/4.86 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i]
% 30.77/4.86 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 30.77/4.86
% 30.77/4.86 (dt_m2_lattice4)
% 30.77/4.88 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 30.77/4.88 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] :
% 30.77/4.88 (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~
% 30.77/4.88 m2_lattice4(v3, v0) | m1_subset_1(v3, v2))))
% 30.77/4.88
% 30.77/4.88 (dt_u1_lattices)
% 30.77/4.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.88 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l1_lattices(v0) | ? [v3: $i] :
% 30.77/4.88 (u1_lattices(v0) = v3 & $i(v3) & m2_relset_1(v3, v2, v1) & v1_funct_2(v3,
% 30.77/4.88 v2, v1) & v1_funct_1(v3)))
% 30.77/4.88
% 30.77/4.88 (dt_u2_lattices)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.89 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l2_lattices(v0) | ? [v3: $i] :
% 30.77/4.89 (u2_lattices(v0) = v3 & $i(v3) & m2_relset_1(v3, v2, v1) & v1_funct_2(v3,
% 30.77/4.89 v2, v1) & v1_funct_1(v3)))
% 30.77/4.89
% 30.77/4.89 (fc1_struct_0)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 30.77/4.89 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 30.77/4.89
% 30.77/4.89 (fc2_lattice2)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.89 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 30.77/4.89 v4_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] : (u2_lattices(v0) = v3 &
% 30.77/4.89 $i(v3) & v1_partfun1(v3, v2, v1) & v1_relat_1(v3) & v1_binop_1(v3, v1) &
% 30.77/4.89 v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 30.77/4.89
% 30.77/4.89 (fc3_lattice2)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.89 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l2_lattices(v0) | ~
% 30.77/4.89 v5_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] : (u2_lattices(v0) = v3 &
% 30.77/4.89 $i(v3) & v1_partfun1(v3, v2, v1) & v1_relat_1(v3) & v2_binop_1(v3, v1) &
% 30.77/4.89 v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 30.77/4.89
% 30.77/4.89 (fc4_lattice2)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.89 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l1_lattices(v0) | ~
% 30.77/4.89 v6_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] : (u1_lattices(v0) = v3 &
% 30.77/4.89 $i(v3) & v1_partfun1(v3, v2, v1) & v1_relat_1(v3) & v1_binop_1(v3, v1) &
% 30.77/4.89 v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 30.77/4.89
% 30.77/4.89 (fc5_lattice2)
% 30.77/4.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (u1_struct_0(v0) = v1) | ~
% 30.77/4.89 (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v0) | ~ l1_lattices(v0) | ~
% 30.77/4.89 v7_lattices(v0) | v3_struct_0(v0) | ? [v3: $i] : (u1_lattices(v0) = v3 &
% 30.77/4.89 $i(v3) & v1_partfun1(v3, v2, v1) & v1_relat_1(v3) & v2_binop_1(v3, v1) &
% 30.77/4.89 v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 30.77/4.89
% 30.77/4.89 (rc1_subset_1)
% 30.77/4.90 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) |
% 30.77/4.90 v1_xboole_0(v0) | ? [v2: $i] : ($i(v2) & m1_subset_1(v2, v1) & ~
% 30.77/4.90 v1_xboole_0(v2)))
% 30.77/4.90
% 30.77/4.90 (t1_filter_2)
% 30.77/4.90 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) |
% 30.77/4.90 v1_xboole_0(v0) | ? [v2: $i] : (k2_zfmisc_1(v0, v0) = v2 & $i(v2) & ! [v3:
% 30.77/4.90 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v3)
% 30.77/4.90 = v6) | ~ (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v6) | ~ $i(v5) | ~
% 30.77/4.90 $i(v3) | ~ v3_binop_1(v5, v0) | ~ m1_subset_1(v3, v1) | ~
% 30.77/4.90 m2_relset_1(v6, v4, v3) | ~ m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v6,
% 30.77/4.90 v4, v3) | ~ v1_funct_2(v5, v2, v0) | ~ v1_funct_1(v6) | ~
% 30.77/4.90 v1_funct_1(v5) | v3_binop_1(v6, v3) | v1_xboole_0(v3)) & ! [v3: $i] :
% 30.77/4.90 ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v3) = v6) |
% 30.77/4.90 ~ (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v6) | ~ $i(v5) | ~ $i(v3) | ~
% 30.77/4.90 m1_subset_1(v3, v1) | ~ v2_binop_1(v5, v0) | ~ m2_relset_1(v6, v4, v3)
% 30.77/4.90 | ~ m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v6, v4, v3) | ~
% 30.77/4.90 v1_funct_2(v5, v2, v0) | ~ v1_funct_1(v6) | ~ v1_funct_1(v5) |
% 30.77/4.90 v2_binop_1(v6, v3) | v1_xboole_0(v3)) & ! [v3: $i] : ! [v4: $i] : !
% 30.77/4.90 [v5: $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v3) = v6) | ~
% 30.77/4.90 (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v6) | ~ $i(v5) | ~ $i(v3) | ~
% 30.77/4.90 m1_subset_1(v3, v1) | ~ v1_binop_1(v5, v0) | ~ m2_relset_1(v6, v4, v3)
% 30.77/4.90 | ~ m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v6, v4, v3) | ~
% 30.77/4.90 v1_funct_2(v5, v2, v0) | ~ v1_funct_1(v6) | ~ v1_funct_1(v5) |
% 30.77/4.90 v1_binop_1(v6, v3) | v1_xboole_0(v3))))
% 30.77/4.90
% 30.77/4.90 (t40_lattice2)
% 30.77/4.90 ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~
% 30.77/4.90 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 30.77/4.90 [v3: $i] : (u1_lattices(v0) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) &
% 30.77/4.90 r1_lattice2(v2, v1, v3)))
% 30.77/4.90
% 30.77/4.90 (t41_lattice2)
% 30.77/4.90 ! [v0: $i] : ! [v1: $i] : ( ~ (u2_lattices(v0) = v1) | ~ $i(v0) | ~
% 30.77/4.90 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] : ?
% 30.77/4.90 [v3: $i] : (u1_lattices(v0) = v3 & u1_struct_0(v0) = v2 & $i(v3) & $i(v2) &
% 30.77/4.90 r1_lattice2(v2, v3, v1)))
% 30.77/4.90
% 30.77/4.90 (t5_filter_2)
% 30.77/4.91 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ $i(v0) |
% 30.77/4.91 v1_xboole_0(v0) | ? [v2: $i] : (k2_zfmisc_1(v0, v0) = v2 & $i(v2) & ! [v3:
% 30.77/4.91 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 30.77/4.91 $i] : ( ~ (k1_realset1(v7, v3) = v8) | ~ (k1_realset1(v5, v3) = v6) |
% 30.77/4.91 ~ (k2_zfmisc_1(v3, v3) = v4) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~
% 30.77/4.91 $i(v5) | ~ $i(v3) | ~ m1_subset_1(v3, v1) | ~ r1_lattice2(v0, v5, v7)
% 30.77/4.91 | ~ m2_relset_1(v8, v4, v3) | ~ m2_relset_1(v7, v2, v0) | ~
% 30.77/4.91 m2_relset_1(v6, v4, v3) | ~ m2_relset_1(v5, v2, v0) | ~ v1_funct_2(v8,
% 30.77/4.91 v4, v3) | ~ v1_funct_2(v7, v2, v0) | ~ v1_funct_2(v6, v4, v3) | ~
% 30.77/4.91 v1_funct_2(v5, v2, v0) | ~ v1_funct_1(v8) | ~ v1_funct_1(v7) | ~
% 30.77/4.91 v1_funct_1(v6) | ~ v1_funct_1(v5) | r1_lattice2(v3, v6, v8) |
% 30.77/4.91 v1_xboole_0(v3))))
% 30.77/4.91
% 30.77/4.91 (t62_filter_2)
% 30.77/4.91 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 30.77/4.91 $i] : ? [v6: $i] : (u2_lattices(v0) = v1 & u1_lattices(v0) = v2 &
% 30.77/4.91 k1_realset1(v2, v3) = v6 & k1_realset1(v1, v3) = v5 & k2_zfmisc_1(v3, v3) =
% 30.77/4.91 v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 30.77/4.91 m2_relset_1(v6, v4, v3) & m2_relset_1(v5, v4, v3) & v1_funct_2(v6, v4, v3) &
% 30.77/4.91 v1_funct_2(v5, v4, v3) & v1_funct_1(v6) & v1_funct_1(v5) & m2_lattice4(v3,
% 30.77/4.91 v0) & l3_lattices(v0) & v10_lattices(v0) & ~ v1_xboole_0(v3) & ~
% 30.77/4.91 v3_struct_0(v0) & ( ~ r1_lattice2(v3, v6, v5) | ~ r1_lattice2(v3, v5, v6) |
% 30.77/4.91 ~ v2_binop_1(v6, v3) | ~ v2_binop_1(v5, v3) | ~ v1_binop_1(v6, v3) | ~
% 30.77/4.91 v1_binop_1(v5, v3)))
% 30.77/4.91
% 30.77/4.91 (function-axioms)
% 30.77/4.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 30.77/4.91 (k7_relat_1(v3, v2) = v1) | ~ (k7_relat_1(v3, v2) = v0)) & ! [v0: $i] : !
% 30.77/4.91 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k1_realset1(v3, v2) =
% 30.77/4.91 v1) | ~ (k1_realset1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 30.77/4.91 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~
% 30.77/4.91 (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 30.77/4.91 = v0 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0)) & ! [v0: $i]
% 30.77/4.91 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~
% 30.77/4.91 (u1_lattices(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 30.77/4.91 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0: $i] : !
% 30.77/4.91 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~
% 30.77/4.91 (k1_zfmisc_1(v2) = v0))
% 30.77/4.91
% 30.77/4.91 Further assumptions not needed in the proof:
% 30.77/4.91 --------------------------------------------
% 30.77/4.91 antisymmetry_r2_hidden, cc1_funct_1, cc1_relset_1, cc2_funct_1, cc2_lattices,
% 30.77/4.91 d3_realset1, dt_k1_realset1, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k2_zfmisc_1,
% 30.77/4.91 dt_k7_relat_1, dt_l1_lattices, dt_l1_struct_0, dt_m1_relset_1, dt_m1_subset_1,
% 30.77/4.91 dt_m2_relset_1, dt_u1_struct_0, existence_l1_lattices, existence_l1_struct_0,
% 30.77/4.91 existence_l2_lattices, existence_l3_lattices, existence_m1_relset_1,
% 30.77/4.91 existence_m1_subset_1, existence_m2_lattice4, existence_m2_relset_1,
% 30.77/4.91 fc1_realset1, fc1_subset_1, fc1_xboole_0, fc2_realset1, fc4_funct_1,
% 30.77/4.91 fc4_subset_1, rc1_funct_1, rc1_lattice4, rc1_xboole_0, rc2_funct_1,
% 30.77/4.91 rc2_subset_1, rc2_xboole_0, rc3_funct_1, rc3_struct_0, rc5_struct_0,
% 30.77/4.91 redefinition_m2_relset_1, reflexivity_r1_tarski, t1_subset, t2_subset,
% 30.77/4.91 t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 30.77/4.91
% 30.77/4.91 Those formulas are unsatisfiable:
% 30.77/4.91 ---------------------------------
% 30.77/4.91
% 30.77/4.91 Begin of proof
% 30.77/4.91 |
% 30.77/4.91 | ALPHA: (cc1_lattices) implies:
% 30.77/4.92 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.92 | v4_lattices(v0) | v3_struct_0(v0))
% 30.77/4.92 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.92 | v5_lattices(v0) | v3_struct_0(v0))
% 30.77/4.92 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.92 | v6_lattices(v0) | v3_struct_0(v0))
% 30.77/4.92 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 30.77/4.92 | v7_lattices(v0) | v3_struct_0(v0))
% 30.77/4.92 |
% 30.77/4.92 | ALPHA: (dt_l3_lattices) implies:
% 30.77/4.92 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 30.77/4.92 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0))
% 30.77/4.92 |
% 30.77/4.92 | ALPHA: (function-axioms) implies:
% 30.77/4.92 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 30.77/4.92 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 30.77/4.92 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 30.77/4.92 | (u1_lattices(v2) = v1) | ~ (u1_lattices(v2) = v0))
% 30.77/4.92 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 30.77/4.92 | (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0))
% 30.77/4.92 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 30.77/4.92 | (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 30.77/4.92 |
% 30.77/4.92 | DELTA: instantiating (t62_filter_2) with fresh symbols all_72_0, all_72_1,
% 30.77/4.92 | all_72_2, all_72_3, all_72_4, all_72_5, all_72_6 gives:
% 30.77/4.92 | (11) u2_lattices(all_72_6) = all_72_5 & u1_lattices(all_72_6) = all_72_4 &
% 30.77/4.92 | k1_realset1(all_72_4, all_72_3) = all_72_0 & k1_realset1(all_72_5,
% 30.77/4.92 | all_72_3) = all_72_1 & k2_zfmisc_1(all_72_3, all_72_3) = all_72_2 &
% 30.77/4.92 | $i(all_72_0) & $i(all_72_1) & $i(all_72_2) & $i(all_72_3) &
% 30.77/4.92 | $i(all_72_4) & $i(all_72_5) & $i(all_72_6) & m2_relset_1(all_72_0,
% 30.77/4.92 | all_72_2, all_72_3) & m2_relset_1(all_72_1, all_72_2, all_72_3) &
% 30.77/4.92 | v1_funct_2(all_72_0, all_72_2, all_72_3) & v1_funct_2(all_72_1,
% 30.77/4.92 | all_72_2, all_72_3) & v1_funct_1(all_72_0) & v1_funct_1(all_72_1) &
% 30.77/4.92 | m2_lattice4(all_72_3, all_72_6) & l3_lattices(all_72_6) &
% 30.77/4.92 | v10_lattices(all_72_6) & ~ v1_xboole_0(all_72_3) & ~
% 30.77/4.92 | v3_struct_0(all_72_6) & ( ~ r1_lattice2(all_72_3, all_72_0, all_72_1)
% 30.77/4.92 | | ~ r1_lattice2(all_72_3, all_72_1, all_72_0) | ~
% 30.77/4.92 | v2_binop_1(all_72_0, all_72_3) | ~ v2_binop_1(all_72_1, all_72_3) |
% 30.77/4.92 | ~ v1_binop_1(all_72_0, all_72_3) | ~ v1_binop_1(all_72_1,
% 30.77/4.92 | all_72_3))
% 30.77/4.92 |
% 30.77/4.92 | ALPHA: (11) implies:
% 30.77/4.92 | (12) ~ v3_struct_0(all_72_6)
% 30.77/4.92 | (13) ~ v1_xboole_0(all_72_3)
% 30.77/4.92 | (14) v10_lattices(all_72_6)
% 30.77/4.92 | (15) l3_lattices(all_72_6)
% 30.77/4.92 | (16) m2_lattice4(all_72_3, all_72_6)
% 30.77/4.92 | (17) v1_funct_1(all_72_1)
% 30.77/4.92 | (18) v1_funct_1(all_72_0)
% 30.77/4.92 | (19) v1_funct_2(all_72_1, all_72_2, all_72_3)
% 30.77/4.92 | (20) v1_funct_2(all_72_0, all_72_2, all_72_3)
% 30.77/4.92 | (21) m2_relset_1(all_72_1, all_72_2, all_72_3)
% 30.77/4.92 | (22) m2_relset_1(all_72_0, all_72_2, all_72_3)
% 30.77/4.92 | (23) $i(all_72_6)
% 30.77/4.92 | (24) $i(all_72_3)
% 30.77/4.92 | (25) $i(all_72_1)
% 30.77/4.92 | (26) $i(all_72_0)
% 30.77/4.92 | (27) k2_zfmisc_1(all_72_3, all_72_3) = all_72_2
% 30.77/4.92 | (28) k1_realset1(all_72_5, all_72_3) = all_72_1
% 30.77/4.92 | (29) k1_realset1(all_72_4, all_72_3) = all_72_0
% 30.77/4.92 | (30) u1_lattices(all_72_6) = all_72_4
% 30.77/4.92 | (31) u2_lattices(all_72_6) = all_72_5
% 30.77/4.92 | (32) ~ r1_lattice2(all_72_3, all_72_0, all_72_1) | ~
% 30.77/4.92 | r1_lattice2(all_72_3, all_72_1, all_72_0) | ~ v2_binop_1(all_72_0,
% 30.77/4.92 | all_72_3) | ~ v2_binop_1(all_72_1, all_72_3) | ~
% 30.77/4.92 | v1_binop_1(all_72_0, all_72_3) | ~ v1_binop_1(all_72_1, all_72_3)
% 30.77/4.92 |
% 30.77/4.93 | GROUND_INST: instantiating (4) with all_72_6, simplifying with (12), (14),
% 30.77/4.93 | (15), (23) gives:
% 30.77/4.93 | (33) v7_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (3) with all_72_6, simplifying with (12), (14),
% 30.77/4.93 | (15), (23) gives:
% 30.77/4.93 | (34) v6_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (2) with all_72_6, simplifying with (12), (14),
% 30.77/4.93 | (15), (23) gives:
% 30.77/4.93 | (35) v5_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (1) with all_72_6, simplifying with (12), (14),
% 30.77/4.93 | (15), (23) gives:
% 30.77/4.93 | (36) v4_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (6) with all_72_6, simplifying with (15), (23)
% 30.77/4.93 | gives:
% 30.77/4.93 | (37) l2_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (5) with all_72_6, simplifying with (15), (23)
% 30.77/4.93 | gives:
% 30.77/4.93 | (38) l1_lattices(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (t41_lattice2) with all_72_6, all_72_5, simplifying
% 30.77/4.93 | with (12), (14), (15), (23), (31) gives:
% 30.77/4.93 | (39) ? [v0: $i] : ? [v1: $i] : (u1_lattices(all_72_6) = v1 &
% 30.77/4.93 | u1_struct_0(all_72_6) = v0 & $i(v1) & $i(v0) & r1_lattice2(v0, v1,
% 30.77/4.93 | all_72_5))
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (t40_lattice2) with all_72_6, all_72_5, simplifying
% 30.77/4.93 | with (12), (14), (15), (23), (31) gives:
% 30.77/4.93 | (40) ? [v0: $i] : ? [v1: $i] : (u1_lattices(all_72_6) = v1 &
% 30.77/4.93 | u1_struct_0(all_72_6) = v0 & $i(v1) & $i(v0) & r1_lattice2(v0,
% 30.77/4.93 | all_72_5, v1))
% 30.77/4.93 |
% 30.77/4.93 | DELTA: instantiating (39) with fresh symbols all_84_0, all_84_1 gives:
% 30.77/4.93 | (41) u1_lattices(all_72_6) = all_84_0 & u1_struct_0(all_72_6) = all_84_1 &
% 30.77/4.93 | $i(all_84_0) & $i(all_84_1) & r1_lattice2(all_84_1, all_84_0,
% 30.77/4.93 | all_72_5)
% 30.77/4.93 |
% 30.77/4.93 | ALPHA: (41) implies:
% 30.77/4.93 | (42) r1_lattice2(all_84_1, all_84_0, all_72_5)
% 30.77/4.93 | (43) u1_struct_0(all_72_6) = all_84_1
% 30.77/4.93 | (44) u1_lattices(all_72_6) = all_84_0
% 30.77/4.93 |
% 30.77/4.93 | DELTA: instantiating (40) with fresh symbols all_86_0, all_86_1 gives:
% 30.77/4.93 | (45) u1_lattices(all_72_6) = all_86_0 & u1_struct_0(all_72_6) = all_86_1 &
% 30.77/4.93 | $i(all_86_0) & $i(all_86_1) & r1_lattice2(all_86_1, all_72_5,
% 30.77/4.93 | all_86_0)
% 30.77/4.93 |
% 30.77/4.93 | ALPHA: (45) implies:
% 30.77/4.93 | (46) r1_lattice2(all_86_1, all_72_5, all_86_0)
% 30.77/4.93 | (47) $i(all_86_1)
% 30.77/4.93 | (48) u1_struct_0(all_72_6) = all_86_1
% 30.77/4.93 | (49) u1_lattices(all_72_6) = all_86_0
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (7) with all_84_1, all_86_1, all_72_6, simplifying
% 30.77/4.93 | with (43), (48) gives:
% 30.77/4.93 | (50) all_86_1 = all_84_1
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (8) with all_72_4, all_86_0, all_72_6, simplifying
% 30.77/4.93 | with (30), (49) gives:
% 30.77/4.93 | (51) all_86_0 = all_72_4
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (8) with all_84_0, all_86_0, all_72_6, simplifying
% 30.77/4.93 | with (44), (49) gives:
% 30.77/4.93 | (52) all_86_0 = all_84_0
% 30.77/4.93 |
% 30.77/4.93 | COMBINE_EQS: (51), (52) imply:
% 30.77/4.93 | (53) all_84_0 = all_72_4
% 30.77/4.93 |
% 30.77/4.93 | REDUCE: (47), (50) imply:
% 30.77/4.93 | (54) $i(all_84_1)
% 30.77/4.93 |
% 30.77/4.93 | REDUCE: (46), (50), (51) imply:
% 30.77/4.93 | (55) r1_lattice2(all_84_1, all_72_5, all_72_4)
% 30.77/4.93 |
% 30.77/4.93 | REDUCE: (42), (53) imply:
% 30.77/4.93 | (56) r1_lattice2(all_84_1, all_72_4, all_72_5)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (dt_l2_lattices) with all_72_6, simplifying with
% 30.77/4.93 | (23), (37) gives:
% 30.77/4.93 | (57) l1_struct_0(all_72_6)
% 30.77/4.93 |
% 30.77/4.93 | GROUND_INST: instantiating (dt_m2_lattice4) with all_72_6, all_84_1,
% 30.77/4.93 | simplifying with (12), (14), (15), (23), (43) gives:
% 30.77/4.94 | (58) ? [v0: $i] : (k1_zfmisc_1(all_84_1) = v0 & $i(v0) & ! [v1: $i] : ( ~
% 30.77/4.94 | $i(v1) | ~ m2_lattice4(v1, all_72_6) | m1_subset_1(v1, v0)))
% 30.77/4.94 |
% 30.77/4.94 | DELTA: instantiating (58) with fresh symbol all_98_0 gives:
% 30.77/4.94 | (59) k1_zfmisc_1(all_84_1) = all_98_0 & $i(all_98_0) & ! [v0: $i] : ( ~
% 30.77/4.94 | $i(v0) | ~ m2_lattice4(v0, all_72_6) | m1_subset_1(v0, all_98_0))
% 30.77/4.94 |
% 30.77/4.94 | ALPHA: (59) implies:
% 30.77/4.94 | (60) k1_zfmisc_1(all_84_1) = all_98_0
% 30.77/4.94 | (61) ! [v0: $i] : ( ~ $i(v0) | ~ m2_lattice4(v0, all_72_6) |
% 30.77/4.94 | m1_subset_1(v0, all_98_0))
% 30.77/4.94 |
% 30.77/4.94 | GROUND_INST: instantiating (61) with all_72_3, simplifying with (16), (24)
% 30.77/4.94 | gives:
% 30.77/4.94 | (62) m1_subset_1(all_72_3, all_98_0)
% 30.77/4.94 |
% 30.77/4.94 | GROUND_INST: instantiating (t5_filter_2) with all_84_1, all_98_0, simplifying
% 30.77/4.94 | with (54), (60) gives:
% 30.77/4.94 | (63) v1_xboole_0(all_84_1) | ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1)
% 30.77/4.94 | = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 30.77/4.94 | $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v1) = v6) |
% 30.77/4.94 | ~ (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~
% 30.77/4.94 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~
% 30.77/4.94 | m1_subset_1(v1, all_98_0) | ~ r1_lattice2(all_84_1, v3, v5) | ~
% 30.77/4.94 | m2_relset_1(v6, v2, v1) | ~ m2_relset_1(v5, v0, all_84_1) | ~
% 30.77/4.94 | m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3, v0, all_84_1) | ~
% 30.77/4.94 | v1_funct_2(v6, v2, v1) | ~ v1_funct_2(v5, v0, all_84_1) | ~
% 30.77/4.94 | v1_funct_2(v4, v2, v1) | ~ v1_funct_2(v3, v0, all_84_1) | ~
% 30.77/4.94 | v1_funct_1(v6) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~
% 30.77/4.94 | v1_funct_1(v3) | r1_lattice2(v1, v4, v6) | v1_xboole_0(v1)))
% 30.77/4.94 |
% 30.77/4.94 | GROUND_INST: instantiating (t1_filter_2) with all_84_1, all_98_0, simplifying
% 30.77/4.94 | with (54), (60) gives:
% 30.77/4.94 | (64) v1_xboole_0(all_84_1) | ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1)
% 30.77/4.94 | = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 30.77/4.94 | $i] : ( ~ (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) =
% 30.77/4.94 | v2) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ v3_binop_1(v3,
% 30.77/4.94 | all_84_1) | ~ m1_subset_1(v1, all_98_0) | ~ m2_relset_1(v4,
% 30.77/4.94 | v2, v1) | ~ m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4,
% 30.77/4.94 | v2, v1) | ~ v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v4) |
% 30.77/4.94 | ~ v1_funct_1(v3) | v3_binop_1(v4, v1) | v1_xboole_0(v1)) & ! [v1:
% 30.77/4.94 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 30.77/4.94 | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~
% 30.77/4.94 | $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ m1_subset_1(v1, all_98_0) | ~
% 30.77/4.94 | v2_binop_1(v3, all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~
% 30.77/4.94 | m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1) | ~
% 30.77/4.94 | v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v4) | ~
% 30.77/4.94 | v1_funct_1(v3) | v2_binop_1(v4, v1) | v1_xboole_0(v1)) & ! [v1:
% 30.77/4.94 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 30.77/4.94 | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~
% 30.77/4.94 | $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ m1_subset_1(v1, all_98_0) | ~
% 30.77/4.94 | v1_binop_1(v3, all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~
% 30.77/4.94 | m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1) | ~
% 30.77/4.94 | v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v4) | ~
% 30.77/4.94 | v1_funct_1(v3) | v1_binop_1(v4, v1) | v1_xboole_0(v1)))
% 30.77/4.94 |
% 30.77/4.94 | GROUND_INST: instantiating (rc1_subset_1) with all_84_1, all_98_0, simplifying
% 30.77/4.94 | with (54), (60) gives:
% 30.77/4.94 | (65) v1_xboole_0(all_84_1) | ? [v0: $i] : ($i(v0) & m1_subset_1(v0,
% 30.77/4.94 | all_98_0) & ~ v1_xboole_0(v0))
% 30.77/4.94 |
% 30.77/4.94 | BETA: splitting (32) gives:
% 30.77/4.94 |
% 30.77/4.94 | Case 1:
% 30.77/4.94 | |
% 30.77/4.94 | | (66) ~ r1_lattice2(all_72_3, all_72_0, all_72_1)
% 30.77/4.94 | |
% 30.77/4.94 | | BETA: splitting (65) gives:
% 30.77/4.94 | |
% 30.77/4.94 | | Case 1:
% 30.77/4.94 | | |
% 30.77/4.94 | | | (67) v1_xboole_0(all_84_1)
% 30.77/4.94 | | |
% 30.77/4.94 | | | GROUND_INST: instantiating (fc1_struct_0) with all_72_6, all_84_1,
% 30.77/4.94 | | | simplifying with (12), (23), (43), (57), (67) gives:
% 30.77/4.94 | | | (68) $false
% 30.77/4.95 | | |
% 30.77/4.95 | | | CLOSE: (68) is inconsistent.
% 30.77/4.95 | | |
% 30.77/4.95 | | Case 2:
% 30.77/4.95 | | |
% 30.77/4.95 | | | (69) ~ v1_xboole_0(all_84_1)
% 30.77/4.95 | | |
% 30.77/4.95 | | | BETA: splitting (63) gives:
% 30.77/4.95 | | |
% 30.77/4.95 | | | Case 1:
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | (70) v1_xboole_0(all_84_1)
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | PRED_UNIFY: (69), (70) imply:
% 30.77/4.95 | | | | (71) $false
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | CLOSE: (71) is inconsistent.
% 30.77/4.95 | | | |
% 30.77/4.95 | | | Case 2:
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | (72) ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1) = v0 & $i(v0) &
% 30.77/4.95 | | | | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 30.77/4.95 | | | | $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v1) = v6) | ~
% 30.77/4.95 | | | | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) |
% 30.77/4.95 | | | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) |
% 30.77/4.95 | | | | ~ m1_subset_1(v1, all_98_0) | ~ r1_lattice2(all_84_1, v3,
% 30.77/4.95 | | | | v5) | ~ m2_relset_1(v6, v2, v1) | ~ m2_relset_1(v5, v0,
% 30.77/4.95 | | | | all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~
% 30.77/4.95 | | | | m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v6, v2, v1) |
% 30.77/4.95 | | | | ~ v1_funct_2(v5, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1) |
% 30.77/4.95 | | | | ~ v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v6) | ~
% 30.77/4.95 | | | | v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) |
% 30.77/4.95 | | | | r1_lattice2(v1, v4, v6) | v1_xboole_0(v1)))
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | DELTA: instantiating (72) with fresh symbol all_177_0 gives:
% 30.77/4.95 | | | | (73) k2_zfmisc_1(all_84_1, all_84_1) = all_177_0 & $i(all_177_0) & !
% 30.77/4.95 | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 30.77/4.95 | | | | : ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~
% 30.77/4.95 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.95 | | | | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~
% 30.77/4.95 | | | | m1_subset_1(v0, all_98_0) | ~ r1_lattice2(all_84_1, v2, v4) |
% 30.77/4.95 | | | | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_177_0,
% 30.77/4.95 | | | | all_84_1) | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2,
% 30.77/4.95 | | | | all_177_0, all_84_1) | ~ v1_funct_2(v5, v1, v0) | ~
% 30.77/4.95 | | | | v1_funct_2(v4, all_177_0, all_84_1) | ~ v1_funct_2(v3, v1,
% 30.77/4.95 | | | | v0) | ~ v1_funct_2(v2, all_177_0, all_84_1) | ~
% 30.77/4.95 | | | | v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 30.77/4.95 | | | | v1_funct_1(v2) | r1_lattice2(v0, v3, v5) | v1_xboole_0(v0))
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | ALPHA: (73) implies:
% 30.77/4.95 | | | | (74) k2_zfmisc_1(all_84_1, all_84_1) = all_177_0
% 30.77/4.95 | | | | (75) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 30.77/4.95 | | | | $i] : ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~
% 30.77/4.95 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.95 | | | | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~
% 30.77/4.95 | | | | m1_subset_1(v0, all_98_0) | ~ r1_lattice2(all_84_1, v2, v4) |
% 30.77/4.95 | | | | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_177_0,
% 30.77/4.95 | | | | all_84_1) | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2,
% 30.77/4.95 | | | | all_177_0, all_84_1) | ~ v1_funct_2(v5, v1, v0) | ~
% 30.77/4.95 | | | | v1_funct_2(v4, all_177_0, all_84_1) | ~ v1_funct_2(v3, v1,
% 30.77/4.95 | | | | v0) | ~ v1_funct_2(v2, all_177_0, all_84_1) | ~
% 30.77/4.95 | | | | v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~
% 30.77/4.95 | | | | v1_funct_1(v2) | r1_lattice2(v0, v3, v5) | v1_xboole_0(v0))
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | BETA: splitting (64) gives:
% 30.77/4.95 | | | |
% 30.77/4.95 | | | | Case 1:
% 30.77/4.95 | | | | |
% 30.77/4.95 | | | | | (76) v1_xboole_0(all_84_1)
% 30.77/4.95 | | | | |
% 30.77/4.95 | | | | | PRED_UNIFY: (69), (76) imply:
% 30.77/4.95 | | | | | (77) $false
% 30.77/4.95 | | | | |
% 30.77/4.95 | | | | | CLOSE: (77) is inconsistent.
% 30.77/4.95 | | | | |
% 30.77/4.95 | | | | Case 2:
% 30.77/4.95 | | | | |
% 30.77/4.96 | | | | | (78) ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1) = v0 & $i(v0) &
% 30.77/4.96 | | | | | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 30.77/4.96 | | | | | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2)
% 30.77/4.96 | | | | | | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ v3_binop_1(v3,
% 30.77/4.96 | | | | | all_84_1) | ~ m1_subset_1(v1, all_98_0) | ~
% 30.77/4.96 | | | | | m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3, v0, all_84_1)
% 30.77/4.96 | | | | | | ~ v1_funct_2(v4, v2, v1) | ~ v1_funct_2(v3, v0,
% 30.77/4.96 | | | | | all_84_1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) |
% 30.77/4.96 | | | | | v3_binop_1(v4, v1) | v1_xboole_0(v1)) & ! [v1: $i] : !
% 30.77/4.96 | | | | | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k1_realset1(v3,
% 30.77/4.96 | | | | | v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v4)
% 30.77/4.96 | | | | | | ~ $i(v3) | ~ $i(v1) | ~ m1_subset_1(v1, all_98_0) |
% 30.77/4.96 | | | | | ~ v2_binop_1(v3, all_84_1) | ~ m2_relset_1(v4, v2, v1) |
% 30.77/4.96 | | | | | ~ m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4, v2,
% 30.77/4.96 | | | | | v1) | ~ v1_funct_2(v3, v0, all_84_1) | ~
% 30.77/4.96 | | | | | v1_funct_1(v4) | ~ v1_funct_1(v3) | v2_binop_1(v4, v1) |
% 30.77/4.96 | | | | | v1_xboole_0(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 30.77/4.96 | | | | | : ! [v4: $i] : ( ~ (k1_realset1(v3, v1) = v4) | ~
% 30.77/4.96 | | | | | (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v4) | ~ $i(v3) | ~
% 30.77/4.96 | | | | | $i(v1) | ~ m1_subset_1(v1, all_98_0) | ~ v1_binop_1(v3,
% 30.77/4.96 | | | | | all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~
% 30.77/4.96 | | | | | m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1)
% 30.77/4.96 | | | | | | ~ v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v4) | ~
% 30.77/4.96 | | | | | v1_funct_1(v3) | v1_binop_1(v4, v1) | v1_xboole_0(v1)))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | DELTA: instantiating (78) with fresh symbol all_183_0 gives:
% 30.77/4.96 | | | | | (79) k2_zfmisc_1(all_84_1, all_84_1) = all_183_0 & $i(all_183_0) &
% 30.77/4.96 | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.96 | | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.96 | | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ v3_binop_1(v2,
% 30.77/4.96 | | | | | all_84_1) | ~ m1_subset_1(v0, all_98_0) | ~
% 30.77/4.96 | | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_183_0,
% 30.77/4.96 | | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.96 | | | | | all_183_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.96 | | | | | v1_funct_1(v2) | v3_binop_1(v3, v0) | v1_xboole_0(v0)) & !
% 30.77/4.96 | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.96 | | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.96 | | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.96 | | | | | all_98_0) | ~ v2_binop_1(v2, all_84_1) | ~
% 30.77/4.96 | | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_183_0,
% 30.77/4.96 | | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.96 | | | | | all_183_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.96 | | | | | v1_funct_1(v2) | v2_binop_1(v3, v0) | v1_xboole_0(v0)) & !
% 30.77/4.96 | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.96 | | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.96 | | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.96 | | | | | all_98_0) | ~ v1_binop_1(v2, all_84_1) | ~
% 30.77/4.96 | | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_183_0,
% 30.77/4.96 | | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.96 | | | | | all_183_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.96 | | | | | v1_funct_1(v2) | v1_binop_1(v3, v0) | v1_xboole_0(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | ALPHA: (79) implies:
% 30.77/4.96 | | | | | (80) k2_zfmisc_1(all_84_1, all_84_1) = all_183_0
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (10) with all_177_0, all_183_0, all_84_1,
% 30.77/4.96 | | | | | all_84_1, simplifying with (74), (80) gives:
% 30.77/4.96 | | | | | (81) all_183_0 = all_177_0
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (fc3_lattice2) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (12), (23), (35), (37), (43),
% 30.77/4.96 | | | | | (74) gives:
% 30.77/4.96 | | | | | (82) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | v1_partfun1(v0, all_177_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.96 | | | | | v2_binop_1(v0, all_84_1) & v1_funct_2(v0, all_177_0,
% 30.77/4.96 | | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (fc2_lattice2) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (12), (23), (36), (37), (43),
% 30.77/4.96 | | | | | (74) gives:
% 30.77/4.96 | | | | | (83) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | v1_partfun1(v0, all_177_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.96 | | | | | v1_binop_1(v0, all_84_1) & v1_funct_2(v0, all_177_0,
% 30.77/4.96 | | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (dt_u2_lattices) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (23), (37), (43), (74) gives:
% 30.77/4.96 | | | | | (84) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | m2_relset_1(v0, all_177_0, all_84_1) & v1_funct_2(v0,
% 30.77/4.96 | | | | | all_177_0, all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (fc5_lattice2) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (12), (23), (33), (38), (43),
% 30.77/4.96 | | | | | (74) gives:
% 30.77/4.96 | | | | | (85) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | v1_partfun1(v0, all_177_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.96 | | | | | v2_binop_1(v0, all_84_1) & v1_funct_2(v0, all_177_0,
% 30.77/4.96 | | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (fc4_lattice2) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (12), (23), (34), (38), (43),
% 30.77/4.96 | | | | | (74) gives:
% 30.77/4.96 | | | | | (86) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | v1_partfun1(v0, all_177_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.96 | | | | | v1_binop_1(v0, all_84_1) & v1_funct_2(v0, all_177_0,
% 30.77/4.96 | | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | GROUND_INST: instantiating (dt_u1_lattices) with all_72_6, all_84_1,
% 30.77/4.96 | | | | | all_177_0, simplifying with (23), (38), (43), (74) gives:
% 30.77/4.96 | | | | | (87) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.96 | | | | | m2_relset_1(v0, all_177_0, all_84_1) & v1_funct_2(v0,
% 30.77/4.96 | | | | | all_177_0, all_84_1) & v1_funct_1(v0))
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | DELTA: instantiating (87) with fresh symbol all_196_0 gives:
% 30.77/4.96 | | | | | (88) u1_lattices(all_72_6) = all_196_0 & $i(all_196_0) &
% 30.77/4.96 | | | | | m2_relset_1(all_196_0, all_177_0, all_84_1) &
% 30.77/4.96 | | | | | v1_funct_2(all_196_0, all_177_0, all_84_1) &
% 30.77/4.96 | | | | | v1_funct_1(all_196_0)
% 30.77/4.96 | | | | |
% 30.77/4.96 | | | | | ALPHA: (88) implies:
% 30.77/4.97 | | | | | (89) v1_funct_1(all_196_0)
% 30.77/4.97 | | | | | (90) v1_funct_2(all_196_0, all_177_0, all_84_1)
% 30.77/4.97 | | | | | (91) m2_relset_1(all_196_0, all_177_0, all_84_1)
% 30.77/4.97 | | | | | (92) $i(all_196_0)
% 30.77/4.97 | | | | | (93) u1_lattices(all_72_6) = all_196_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | DELTA: instantiating (84) with fresh symbol all_198_0 gives:
% 30.77/4.97 | | | | | (94) u2_lattices(all_72_6) = all_198_0 & $i(all_198_0) &
% 30.77/4.97 | | | | | m2_relset_1(all_198_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_2(all_198_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_1(all_198_0)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | ALPHA: (94) implies:
% 30.77/4.97 | | | | | (95) v1_funct_1(all_198_0)
% 30.77/4.97 | | | | | (96) v1_funct_2(all_198_0, all_177_0, all_84_1)
% 30.77/4.97 | | | | | (97) m2_relset_1(all_198_0, all_177_0, all_84_1)
% 30.77/4.97 | | | | | (98) $i(all_198_0)
% 30.77/4.97 | | | | | (99) u2_lattices(all_72_6) = all_198_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | DELTA: instantiating (86) with fresh symbol all_200_0 gives:
% 30.77/4.97 | | | | | (100) u1_lattices(all_72_6) = all_200_0 & $i(all_200_0) &
% 30.77/4.97 | | | | | v1_partfun1(all_200_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_relat_1(all_200_0) & v1_binop_1(all_200_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_2(all_200_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_1(all_200_0)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | ALPHA: (100) implies:
% 30.77/4.97 | | | | | (101) u1_lattices(all_72_6) = all_200_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | DELTA: instantiating (85) with fresh symbol all_202_0 gives:
% 30.77/4.97 | | | | | (102) u1_lattices(all_72_6) = all_202_0 & $i(all_202_0) &
% 30.77/4.97 | | | | | v1_partfun1(all_202_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_relat_1(all_202_0) & v2_binop_1(all_202_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_2(all_202_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_1(all_202_0)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | ALPHA: (102) implies:
% 30.77/4.97 | | | | | (103) u1_lattices(all_72_6) = all_202_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | DELTA: instantiating (83) with fresh symbol all_204_0 gives:
% 30.77/4.97 | | | | | (104) u2_lattices(all_72_6) = all_204_0 & $i(all_204_0) &
% 30.77/4.97 | | | | | v1_partfun1(all_204_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_relat_1(all_204_0) & v1_binop_1(all_204_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_2(all_204_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_1(all_204_0)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | ALPHA: (104) implies:
% 30.77/4.97 | | | | | (105) u2_lattices(all_72_6) = all_204_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | DELTA: instantiating (82) with fresh symbol all_206_0 gives:
% 30.77/4.97 | | | | | (106) u2_lattices(all_72_6) = all_206_0 & $i(all_206_0) &
% 30.77/4.97 | | | | | v1_partfun1(all_206_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_relat_1(all_206_0) & v2_binop_1(all_206_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_2(all_206_0, all_177_0, all_84_1) &
% 30.77/4.97 | | | | | v1_funct_1(all_206_0)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | ALPHA: (106) implies:
% 30.77/4.97 | | | | | (107) u2_lattices(all_72_6) = all_206_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (8) with all_72_4, all_200_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (30), (101) gives:
% 30.77/4.97 | | | | | (108) all_200_0 = all_72_4
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (8) with all_200_0, all_202_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (101), (103) gives:
% 30.77/4.97 | | | | | (109) all_202_0 = all_200_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (8) with all_196_0, all_202_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (93), (103) gives:
% 30.77/4.97 | | | | | (110) all_202_0 = all_196_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (9) with all_72_5, all_204_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (31), (105) gives:
% 30.77/4.97 | | | | | (111) all_204_0 = all_72_5
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (9) with all_204_0, all_206_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (105), (107) gives:
% 30.77/4.97 | | | | | (112) all_206_0 = all_204_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (9) with all_198_0, all_206_0, all_72_6,
% 30.77/4.97 | | | | | simplifying with (99), (107) gives:
% 30.77/4.97 | | | | | (113) all_206_0 = all_198_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | COMBINE_EQS: (112), (113) imply:
% 30.77/4.97 | | | | | (114) all_204_0 = all_198_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | SIMP: (114) implies:
% 30.77/4.97 | | | | | (115) all_204_0 = all_198_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | COMBINE_EQS: (111), (115) imply:
% 30.77/4.97 | | | | | (116) all_198_0 = all_72_5
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | COMBINE_EQS: (109), (110) imply:
% 30.77/4.97 | | | | | (117) all_200_0 = all_196_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | SIMP: (117) implies:
% 30.77/4.97 | | | | | (118) all_200_0 = all_196_0
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | COMBINE_EQS: (108), (118) imply:
% 30.77/4.97 | | | | | (119) all_196_0 = all_72_4
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (98), (116) imply:
% 30.77/4.97 | | | | | (120) $i(all_72_5)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (92), (119) imply:
% 30.77/4.97 | | | | | (121) $i(all_72_4)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (97), (116) imply:
% 30.77/4.97 | | | | | (122) m2_relset_1(all_72_5, all_177_0, all_84_1)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (91), (119) imply:
% 30.77/4.97 | | | | | (123) m2_relset_1(all_72_4, all_177_0, all_84_1)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (96), (116) imply:
% 30.77/4.97 | | | | | (124) v1_funct_2(all_72_5, all_177_0, all_84_1)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (90), (119) imply:
% 30.77/4.97 | | | | | (125) v1_funct_2(all_72_4, all_177_0, all_84_1)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (95), (116) imply:
% 30.77/4.97 | | | | | (126) v1_funct_1(all_72_5)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | REDUCE: (89), (119) imply:
% 30.77/4.97 | | | | | (127) v1_funct_1(all_72_4)
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | GROUND_INST: instantiating (75) with all_72_3, all_72_2, all_72_4,
% 30.77/4.97 | | | | | all_72_0, all_72_5, all_72_1, simplifying with (13),
% 30.77/4.97 | | | | | (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 30.77/4.97 | | | | | (27), (28), (29), (56), (62), (66), (120), (121), (122),
% 30.77/4.97 | | | | | (123), (124), (125), (126), (127) gives:
% 30.77/4.97 | | | | | (128) $false
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | | CLOSE: (128) is inconsistent.
% 30.77/4.97 | | | | |
% 30.77/4.97 | | | | End of split
% 30.77/4.97 | | | |
% 30.77/4.97 | | | End of split
% 30.77/4.97 | | |
% 30.77/4.97 | | End of split
% 30.77/4.97 | |
% 30.77/4.97 | Case 2:
% 30.77/4.97 | |
% 30.77/4.97 | | (129) ~ r1_lattice2(all_72_3, all_72_1, all_72_0) | ~
% 30.77/4.97 | | v2_binop_1(all_72_0, all_72_3) | ~ v2_binop_1(all_72_1, all_72_3)
% 30.77/4.97 | | | ~ v1_binop_1(all_72_0, all_72_3) | ~ v1_binop_1(all_72_1,
% 30.77/4.97 | | all_72_3)
% 30.77/4.97 | |
% 30.77/4.97 | | BETA: splitting (63) gives:
% 30.77/4.97 | |
% 30.77/4.97 | | Case 1:
% 30.77/4.97 | | |
% 30.77/4.97 | | | (130) v1_xboole_0(all_84_1)
% 30.77/4.97 | | |
% 30.77/4.97 | | | GROUND_INST: instantiating (fc1_struct_0) with all_72_6, all_84_1,
% 30.77/4.97 | | | simplifying with (12), (23), (43), (57), (130) gives:
% 30.77/4.97 | | | (131) $false
% 30.77/4.97 | | |
% 30.77/4.97 | | | CLOSE: (131) is inconsistent.
% 30.77/4.97 | | |
% 30.77/4.97 | | Case 2:
% 30.77/4.97 | | |
% 30.77/4.98 | | | (132) ~ v1_xboole_0(all_84_1)
% 30.77/4.98 | | | (133) ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1) = v0 & $i(v0) & !
% 30.77/4.98 | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 30.77/4.98 | | | $i] : ! [v6: $i] : ( ~ (k1_realset1(v5, v1) = v6) | ~
% 30.77/4.98 | | | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) |
% 30.77/4.98 | | | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~
% 30.77/4.98 | | | m1_subset_1(v1, all_98_0) | ~ r1_lattice2(all_84_1, v3, v5)
% 30.77/4.98 | | | | ~ m2_relset_1(v6, v2, v1) | ~ m2_relset_1(v5, v0,
% 30.77/4.98 | | | all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3,
% 30.77/4.98 | | | v0, all_84_1) | ~ v1_funct_2(v6, v2, v1) | ~
% 30.77/4.98 | | | v1_funct_2(v5, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1) | ~
% 30.77/4.98 | | | v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v6) | ~
% 30.77/4.98 | | | v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) |
% 30.77/4.98 | | | r1_lattice2(v1, v4, v6) | v1_xboole_0(v1)))
% 30.77/4.98 | | |
% 30.77/4.98 | | | DELTA: instantiating (133) with fresh symbol all_171_0 gives:
% 30.77/4.98 | | | (134) k2_zfmisc_1(all_84_1, all_84_1) = all_171_0 & $i(all_171_0) & !
% 30.77/4.98 | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 30.77/4.98 | | | : ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~
% 30.77/4.98 | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) | ~
% 30.77/4.98 | | | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~
% 30.77/4.98 | | | m1_subset_1(v0, all_98_0) | ~ r1_lattice2(all_84_1, v2, v4) |
% 30.77/4.98 | | | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_171_0,
% 30.77/4.98 | | | all_84_1) | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2,
% 30.77/4.98 | | | all_171_0, all_84_1) | ~ v1_funct_2(v5, v1, v0) | ~
% 30.77/4.98 | | | v1_funct_2(v4, all_171_0, all_84_1) | ~ v1_funct_2(v3, v1, v0)
% 30.77/4.98 | | | | ~ v1_funct_2(v2, all_171_0, all_84_1) | ~ v1_funct_1(v5) |
% 30.77/4.98 | | | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) |
% 30.77/4.98 | | | r1_lattice2(v0, v3, v5) | v1_xboole_0(v0))
% 30.77/4.98 | | |
% 30.77/4.98 | | | ALPHA: (134) implies:
% 30.77/4.98 | | | (135) k2_zfmisc_1(all_84_1, all_84_1) = all_171_0
% 30.77/4.98 | | | (136) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 30.77/4.98 | | | $i] : ! [v5: $i] : ( ~ (k1_realset1(v4, v0) = v5) | ~
% 30.77/4.98 | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) | ~
% 30.77/4.98 | | | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~
% 30.77/4.98 | | | m1_subset_1(v0, all_98_0) | ~ r1_lattice2(all_84_1, v2, v4) |
% 30.77/4.98 | | | ~ m2_relset_1(v5, v1, v0) | ~ m2_relset_1(v4, all_171_0,
% 30.77/4.98 | | | all_84_1) | ~ m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2,
% 30.77/4.98 | | | all_171_0, all_84_1) | ~ v1_funct_2(v5, v1, v0) | ~
% 30.77/4.98 | | | v1_funct_2(v4, all_171_0, all_84_1) | ~ v1_funct_2(v3, v1, v0)
% 30.77/4.98 | | | | ~ v1_funct_2(v2, all_171_0, all_84_1) | ~ v1_funct_1(v5) |
% 30.77/4.98 | | | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) |
% 30.77/4.98 | | | r1_lattice2(v0, v3, v5) | v1_xboole_0(v0))
% 30.77/4.98 | | |
% 30.77/4.98 | | | BETA: splitting (64) gives:
% 30.77/4.98 | | |
% 30.77/4.98 | | | Case 1:
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | (137) v1_xboole_0(all_84_1)
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | PRED_UNIFY: (132), (137) imply:
% 30.77/4.98 | | | | (138) $false
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | CLOSE: (138) is inconsistent.
% 30.77/4.98 | | | |
% 30.77/4.98 | | | Case 2:
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | (139) ? [v0: $i] : (k2_zfmisc_1(all_84_1, all_84_1) = v0 & $i(v0) &
% 30.77/4.98 | | | | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2)
% 30.77/4.98 | | | | | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ v3_binop_1(v3,
% 30.77/4.98 | | | | all_84_1) | ~ m1_subset_1(v1, all_98_0) | ~
% 30.77/4.98 | | | | m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3, v0, all_84_1)
% 30.77/4.98 | | | | | ~ v1_funct_2(v4, v2, v1) | ~ v1_funct_2(v3, v0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) |
% 30.77/4.98 | | | | v3_binop_1(v4, v1) | v1_xboole_0(v1)) & ! [v1: $i] : !
% 30.77/4.98 | | | | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (k1_realset1(v3,
% 30.77/4.98 | | | | v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ $i(v4) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v1) | ~ m1_subset_1(v1, all_98_0) | ~
% 30.77/4.98 | | | | v2_binop_1(v3, all_84_1) | ~ m2_relset_1(v4, v2, v1) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v0, all_84_1) | ~ v1_funct_2(v4, v2, v1) |
% 30.77/4.98 | | | | ~ v1_funct_2(v3, v0, all_84_1) | ~ v1_funct_1(v4) | ~
% 30.77/4.98 | | | | v1_funct_1(v3) | v2_binop_1(v4, v1) | v1_xboole_0(v1)) & !
% 30.77/4.98 | | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v3, v1) = v4) | ~ (k2_zfmisc_1(v1, v1) = v2)
% 30.77/4.98 | | | | | ~ $i(v4) | ~ $i(v3) | ~ $i(v1) | ~ m1_subset_1(v1,
% 30.77/4.98 | | | | all_98_0) | ~ v1_binop_1(v3, all_84_1) | ~
% 30.77/4.98 | | | | m2_relset_1(v4, v2, v1) | ~ m2_relset_1(v3, v0, all_84_1)
% 30.77/4.98 | | | | | ~ v1_funct_2(v4, v2, v1) | ~ v1_funct_2(v3, v0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) |
% 30.77/4.98 | | | | v1_binop_1(v4, v1) | v1_xboole_0(v1)))
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | DELTA: instantiating (139) with fresh symbol all_178_0 gives:
% 30.77/4.98 | | | | (140) k2_zfmisc_1(all_84_1, all_84_1) = all_178_0 & $i(all_178_0) &
% 30.77/4.98 | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ v3_binop_1(v2,
% 30.77/4.98 | | | | all_84_1) | ~ m1_subset_1(v0, all_98_0) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_178_0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.98 | | | | all_178_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.98 | | | | v1_funct_1(v2) | v3_binop_1(v3, v0) | v1_xboole_0(v0)) & !
% 30.77/4.98 | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.98 | | | | all_98_0) | ~ v2_binop_1(v2, all_84_1) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_178_0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.98 | | | | all_178_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.98 | | | | v1_funct_1(v2) | v2_binop_1(v3, v0) | v1_xboole_0(v0)) & !
% 30.77/4.98 | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.98 | | | | all_98_0) | ~ v1_binop_1(v2, all_84_1) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_178_0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.98 | | | | all_178_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.98 | | | | v1_funct_1(v2) | v1_binop_1(v3, v0) | v1_xboole_0(v0))
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | ALPHA: (140) implies:
% 30.77/4.98 | | | | (141) k2_zfmisc_1(all_84_1, all_84_1) = all_178_0
% 30.77/4.98 | | | | (142) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.98 | | | | all_98_0) | ~ v1_binop_1(v2, all_84_1) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_178_0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.98 | | | | all_178_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.98 | | | | v1_funct_1(v2) | v1_binop_1(v3, v0) | v1_xboole_0(v0))
% 30.77/4.98 | | | | (143) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 30.77/4.98 | | | | (k1_realset1(v2, v0) = v3) | ~ (k2_zfmisc_1(v0, v0) = v1) |
% 30.77/4.98 | | | | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ~ m1_subset_1(v0,
% 30.77/4.98 | | | | all_98_0) | ~ v2_binop_1(v2, all_84_1) | ~
% 30.77/4.98 | | | | m2_relset_1(v3, v1, v0) | ~ m2_relset_1(v2, all_178_0,
% 30.77/4.98 | | | | all_84_1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2,
% 30.77/4.98 | | | | all_178_0, all_84_1) | ~ v1_funct_1(v3) | ~
% 30.77/4.98 | | | | v1_funct_1(v2) | v2_binop_1(v3, v0) | v1_xboole_0(v0))
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | GROUND_INST: instantiating (10) with all_171_0, all_178_0, all_84_1,
% 30.77/4.98 | | | | all_84_1, simplifying with (135), (141) gives:
% 30.77/4.98 | | | | (144) all_178_0 = all_171_0
% 30.77/4.98 | | | |
% 30.77/4.98 | | | | GROUND_INST: instantiating (fc3_lattice2) with all_72_6, all_84_1,
% 30.77/4.98 | | | | all_171_0, simplifying with (12), (23), (35), (37), (43),
% 30.77/4.98 | | | | (135) gives:
% 30.77/4.99 | | | | (145) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | v1_partfun1(v0, all_171_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.99 | | | | v2_binop_1(v0, all_84_1) & v1_funct_2(v0, all_171_0,
% 30.77/4.99 | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (fc2_lattice2) with all_72_6, all_84_1,
% 30.77/4.99 | | | | all_171_0, simplifying with (12), (23), (36), (37), (43),
% 30.77/4.99 | | | | (135) gives:
% 30.77/4.99 | | | | (146) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | v1_partfun1(v0, all_171_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.99 | | | | v1_binop_1(v0, all_84_1) & v1_funct_2(v0, all_171_0,
% 30.77/4.99 | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (dt_u2_lattices) with all_72_6, all_84_1,
% 30.77/4.99 | | | | all_171_0, simplifying with (23), (37), (43), (135) gives:
% 30.77/4.99 | | | | (147) ? [v0: $i] : (u2_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | m2_relset_1(v0, all_171_0, all_84_1) & v1_funct_2(v0,
% 30.77/4.99 | | | | all_171_0, all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (fc5_lattice2) with all_72_6, all_84_1,
% 30.77/4.99 | | | | all_171_0, simplifying with (12), (23), (33), (38), (43),
% 30.77/4.99 | | | | (135) gives:
% 30.77/4.99 | | | | (148) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | v1_partfun1(v0, all_171_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.99 | | | | v2_binop_1(v0, all_84_1) & v1_funct_2(v0, all_171_0,
% 30.77/4.99 | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (fc4_lattice2) with all_72_6, all_84_1,
% 30.77/4.99 | | | | all_171_0, simplifying with (12), (23), (34), (38), (43),
% 30.77/4.99 | | | | (135) gives:
% 30.77/4.99 | | | | (149) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | v1_partfun1(v0, all_171_0, all_84_1) & v1_relat_1(v0) &
% 30.77/4.99 | | | | v1_binop_1(v0, all_84_1) & v1_funct_2(v0, all_171_0,
% 30.77/4.99 | | | | all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (dt_u1_lattices) with all_72_6, all_84_1,
% 30.77/4.99 | | | | all_171_0, simplifying with (23), (38), (43), (135) gives:
% 30.77/4.99 | | | | (150) ? [v0: $i] : (u1_lattices(all_72_6) = v0 & $i(v0) &
% 30.77/4.99 | | | | m2_relset_1(v0, all_171_0, all_84_1) & v1_funct_2(v0,
% 30.77/4.99 | | | | all_171_0, all_84_1) & v1_funct_1(v0))
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (150) with fresh symbol all_196_0 gives:
% 30.77/4.99 | | | | (151) u1_lattices(all_72_6) = all_196_0 & $i(all_196_0) &
% 30.77/4.99 | | | | m2_relset_1(all_196_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_196_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_196_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (151) implies:
% 30.77/4.99 | | | | (152) v1_funct_1(all_196_0)
% 30.77/4.99 | | | | (153) v1_funct_2(all_196_0, all_171_0, all_84_1)
% 30.77/4.99 | | | | (154) m2_relset_1(all_196_0, all_171_0, all_84_1)
% 30.77/4.99 | | | | (155) $i(all_196_0)
% 30.77/4.99 | | | | (156) u1_lattices(all_72_6) = all_196_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (147) with fresh symbol all_198_0 gives:
% 30.77/4.99 | | | | (157) u2_lattices(all_72_6) = all_198_0 & $i(all_198_0) &
% 30.77/4.99 | | | | m2_relset_1(all_198_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_198_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_198_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (157) implies:
% 30.77/4.99 | | | | (158) v1_funct_1(all_198_0)
% 30.77/4.99 | | | | (159) v1_funct_2(all_198_0, all_171_0, all_84_1)
% 30.77/4.99 | | | | (160) m2_relset_1(all_198_0, all_171_0, all_84_1)
% 30.77/4.99 | | | | (161) $i(all_198_0)
% 30.77/4.99 | | | | (162) u2_lattices(all_72_6) = all_198_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (149) with fresh symbol all_200_0 gives:
% 30.77/4.99 | | | | (163) u1_lattices(all_72_6) = all_200_0 & $i(all_200_0) &
% 30.77/4.99 | | | | v1_partfun1(all_200_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_relat_1(all_200_0) & v1_binop_1(all_200_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_200_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_200_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (163) implies:
% 30.77/4.99 | | | | (164) v1_binop_1(all_200_0, all_84_1)
% 30.77/4.99 | | | | (165) u1_lattices(all_72_6) = all_200_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (146) with fresh symbol all_202_0 gives:
% 30.77/4.99 | | | | (166) u2_lattices(all_72_6) = all_202_0 & $i(all_202_0) &
% 30.77/4.99 | | | | v1_partfun1(all_202_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_relat_1(all_202_0) & v1_binop_1(all_202_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_202_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_202_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (166) implies:
% 30.77/4.99 | | | | (167) v1_binop_1(all_202_0, all_84_1)
% 30.77/4.99 | | | | (168) u2_lattices(all_72_6) = all_202_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (145) with fresh symbol all_204_0 gives:
% 30.77/4.99 | | | | (169) u2_lattices(all_72_6) = all_204_0 & $i(all_204_0) &
% 30.77/4.99 | | | | v1_partfun1(all_204_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_relat_1(all_204_0) & v2_binop_1(all_204_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_204_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_204_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (169) implies:
% 30.77/4.99 | | | | (170) v2_binop_1(all_204_0, all_84_1)
% 30.77/4.99 | | | | (171) u2_lattices(all_72_6) = all_204_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | DELTA: instantiating (148) with fresh symbol all_206_0 gives:
% 30.77/4.99 | | | | (172) u1_lattices(all_72_6) = all_206_0 & $i(all_206_0) &
% 30.77/4.99 | | | | v1_partfun1(all_206_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_relat_1(all_206_0) & v2_binop_1(all_206_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_2(all_206_0, all_171_0, all_84_1) &
% 30.77/4.99 | | | | v1_funct_1(all_206_0)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | ALPHA: (172) implies:
% 30.77/4.99 | | | | (173) v2_binop_1(all_206_0, all_84_1)
% 30.77/4.99 | | | | (174) u1_lattices(all_72_6) = all_206_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (8) with all_72_4, all_200_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (30), (165) gives:
% 30.77/4.99 | | | | (175) all_200_0 = all_72_4
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (8) with all_200_0, all_206_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (165), (174) gives:
% 30.77/4.99 | | | | (176) all_206_0 = all_200_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (8) with all_196_0, all_206_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (156), (174) gives:
% 30.77/4.99 | | | | (177) all_206_0 = all_196_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (9) with all_72_5, all_202_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (31), (168) gives:
% 30.77/4.99 | | | | (178) all_202_0 = all_72_5
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (9) with all_202_0, all_204_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (168), (171) gives:
% 30.77/4.99 | | | | (179) all_204_0 = all_202_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | GROUND_INST: instantiating (9) with all_198_0, all_204_0, all_72_6,
% 30.77/4.99 | | | | simplifying with (162), (171) gives:
% 30.77/4.99 | | | | (180) all_204_0 = all_198_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (176), (177) imply:
% 30.77/4.99 | | | | (181) all_200_0 = all_196_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | SIMP: (181) implies:
% 30.77/4.99 | | | | (182) all_200_0 = all_196_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (179), (180) imply:
% 30.77/4.99 | | | | (183) all_202_0 = all_198_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | SIMP: (183) implies:
% 30.77/4.99 | | | | (184) all_202_0 = all_198_0
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (178), (184) imply:
% 30.77/4.99 | | | | (185) all_198_0 = all_72_5
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (175), (182) imply:
% 30.77/4.99 | | | | (186) all_196_0 = all_72_4
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | SIMP: (186) implies:
% 30.77/4.99 | | | | (187) all_196_0 = all_72_4
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (180), (185) imply:
% 30.77/4.99 | | | | (188) all_204_0 = all_72_5
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | COMBINE_EQS: (177), (187) imply:
% 30.77/4.99 | | | | (189) all_206_0 = all_72_4
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (161), (185) imply:
% 30.77/4.99 | | | | (190) $i(all_72_5)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (155), (187) imply:
% 30.77/4.99 | | | | (191) $i(all_72_4)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (173), (189) imply:
% 30.77/4.99 | | | | (192) v2_binop_1(all_72_4, all_84_1)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (170), (188) imply:
% 30.77/4.99 | | | | (193) v2_binop_1(all_72_5, all_84_1)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (167), (178) imply:
% 30.77/4.99 | | | | (194) v1_binop_1(all_72_5, all_84_1)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (164), (175) imply:
% 30.77/4.99 | | | | (195) v1_binop_1(all_72_4, all_84_1)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (160), (185) imply:
% 30.77/4.99 | | | | (196) m2_relset_1(all_72_5, all_171_0, all_84_1)
% 30.77/4.99 | | | |
% 30.77/4.99 | | | | REDUCE: (154), (187) imply:
% 30.77/4.99 | | | | (197) m2_relset_1(all_72_4, all_171_0, all_84_1)
% 30.77/4.99 | | | |
% 30.77/5.00 | | | | REDUCE: (159), (185) imply:
% 30.77/5.00 | | | | (198) v1_funct_2(all_72_5, all_171_0, all_84_1)
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | REDUCE: (153), (187) imply:
% 30.77/5.00 | | | | (199) v1_funct_2(all_72_4, all_171_0, all_84_1)
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | REDUCE: (158), (185) imply:
% 30.77/5.00 | | | | (200) v1_funct_1(all_72_5)
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | REDUCE: (152), (187) imply:
% 30.77/5.00 | | | | (201) v1_funct_1(all_72_4)
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | GROUND_INST: instantiating (136) with all_72_3, all_72_2, all_72_5,
% 30.77/5.00 | | | | all_72_1, all_72_4, all_72_0, simplifying with (13), (17),
% 30.77/5.00 | | | | (18), (19), (20), (21), (22), (24), (25), (26), (27), (28),
% 30.77/5.00 | | | | (29), (55), (62), (190), (191), (196), (197), (198), (199),
% 30.77/5.00 | | | | (200), (201) gives:
% 30.77/5.00 | | | | (202) r1_lattice2(all_72_3, all_72_1, all_72_0)
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | BETA: splitting (129) gives:
% 30.77/5.00 | | | |
% 30.77/5.00 | | | | Case 1:
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | (203) ~ r1_lattice2(all_72_3, all_72_1, all_72_0)
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | PRED_UNIFY: (202), (203) imply:
% 30.77/5.00 | | | | | (204) $false
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | CLOSE: (204) is inconsistent.
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | Case 2:
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | (205) ~ v2_binop_1(all_72_0, all_72_3) | ~ v2_binop_1(all_72_1,
% 30.77/5.00 | | | | | all_72_3) | ~ v1_binop_1(all_72_0, all_72_3) | ~
% 30.77/5.00 | | | | | v1_binop_1(all_72_1, all_72_3)
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | BETA: splitting (205) gives:
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | | Case 1:
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | (206) ~ v2_binop_1(all_72_0, all_72_3)
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | GROUND_INST: instantiating (143) with all_72_3, all_72_2, all_72_4,
% 30.77/5.00 | | | | | | all_72_0, simplifying with (13), (18), (20), (22),
% 30.77/5.00 | | | | | | (24), (26), (27), (29), (62), (191), (192), (201),
% 30.77/5.00 | | | | | | (206) gives:
% 30.77/5.00 | | | | | | (207) ~ m2_relset_1(all_72_4, all_178_0, all_84_1) | ~
% 30.77/5.00 | | | | | | v1_funct_2(all_72_4, all_178_0, all_84_1)
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | REF_CLOSE: (144), (197), (199), (207) are inconsistent by sub-proof
% 30.77/5.00 | | | | | | #2.
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | Case 2:
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | (208) ~ v2_binop_1(all_72_1, all_72_3) | ~ v1_binop_1(all_72_0,
% 30.77/5.00 | | | | | | all_72_3) | ~ v1_binop_1(all_72_1, all_72_3)
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | BETA: splitting (208) gives:
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | | Case 1:
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | (209) ~ v2_binop_1(all_72_1, all_72_3)
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | GROUND_INST: instantiating (143) with all_72_3, all_72_2,
% 30.77/5.00 | | | | | | | all_72_5, all_72_1, simplifying with (13), (17),
% 30.77/5.00 | | | | | | | (19), (21), (24), (25), (27), (28), (62), (190),
% 30.77/5.00 | | | | | | | (193), (200), (209) gives:
% 30.77/5.00 | | | | | | | (210) ~ m2_relset_1(all_72_5, all_178_0, all_84_1) | ~
% 30.77/5.00 | | | | | | | v1_funct_2(all_72_5, all_178_0, all_84_1)
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | REF_CLOSE: (144), (196), (198), (210) are inconsistent by
% 30.77/5.00 | | | | | | | sub-proof #1.
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | Case 2:
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | (211) ~ v1_binop_1(all_72_0, all_72_3) | ~
% 30.77/5.00 | | | | | | | v1_binop_1(all_72_1, all_72_3)
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | BETA: splitting (211) gives:
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | | Case 1:
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | (212) ~ v1_binop_1(all_72_0, all_72_3)
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | GROUND_INST: instantiating (142) with all_72_3, all_72_2,
% 30.77/5.00 | | | | | | | | all_72_4, all_72_0, simplifying with (13), (18),
% 30.77/5.00 | | | | | | | | (20), (22), (24), (26), (27), (29), (62), (191),
% 30.77/5.00 | | | | | | | | (195), (201), (212) gives:
% 30.77/5.00 | | | | | | | | (213) ~ m2_relset_1(all_72_4, all_178_0, all_84_1) | ~
% 30.77/5.00 | | | | | | | | v1_funct_2(all_72_4, all_178_0, all_84_1)
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | REF_CLOSE: (144), (197), (199), (213) are inconsistent by
% 30.77/5.00 | | | | | | | | sub-proof #2.
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | Case 2:
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | (214) ~ v1_binop_1(all_72_1, all_72_3)
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | GROUND_INST: instantiating (142) with all_72_3, all_72_2,
% 30.77/5.00 | | | | | | | | all_72_5, all_72_1, simplifying with (13), (17),
% 30.77/5.00 | | | | | | | | (19), (21), (24), (25), (27), (28), (62), (190),
% 30.77/5.00 | | | | | | | | (194), (200), (214) gives:
% 30.77/5.00 | | | | | | | | (215) ~ m2_relset_1(all_72_5, all_178_0, all_84_1) | ~
% 30.77/5.00 | | | | | | | | v1_funct_2(all_72_5, all_178_0, all_84_1)
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | | REF_CLOSE: (144), (196), (198), (215) are inconsistent by
% 30.77/5.00 | | | | | | | | sub-proof #1.
% 30.77/5.00 | | | | | | | |
% 30.77/5.00 | | | | | | | End of split
% 30.77/5.00 | | | | | | |
% 30.77/5.00 | | | | | | End of split
% 30.77/5.00 | | | | | |
% 30.77/5.00 | | | | | End of split
% 30.77/5.00 | | | | |
% 30.77/5.00 | | | | End of split
% 30.77/5.00 | | | |
% 30.77/5.00 | | | End of split
% 30.77/5.00 | | |
% 30.77/5.00 | | End of split
% 30.77/5.00 | |
% 30.77/5.00 | End of split
% 30.77/5.00 |
% 30.77/5.00 End of proof
% 30.77/5.00
% 30.77/5.00 Sub-proof #1 shows that the following formulas are inconsistent:
% 30.77/5.00 ----------------------------------------------------------------
% 30.77/5.00 (1) ~ m2_relset_1(all_72_5, all_178_0, all_84_1) | ~ v1_funct_2(all_72_5,
% 30.77/5.00 all_178_0, all_84_1)
% 30.77/5.00 (2) all_178_0 = all_171_0
% 30.77/5.00 (3) m2_relset_1(all_72_5, all_171_0, all_84_1)
% 30.77/5.00 (4) v1_funct_2(all_72_5, all_171_0, all_84_1)
% 30.77/5.00
% 30.77/5.00 Begin of proof
% 30.77/5.00 |
% 30.77/5.00 | BETA: splitting (1) gives:
% 30.77/5.00 |
% 30.77/5.00 | Case 1:
% 30.77/5.00 | |
% 30.77/5.00 | | (5) ~ m2_relset_1(all_72_5, all_178_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | REDUCE: (2), (5) imply:
% 30.77/5.00 | | (6) ~ m2_relset_1(all_72_5, all_171_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | PRED_UNIFY: (3), (6) imply:
% 30.77/5.00 | | (7) $false
% 30.77/5.00 | |
% 30.77/5.00 | | CLOSE: (7) is inconsistent.
% 30.77/5.00 | |
% 30.77/5.00 | Case 2:
% 30.77/5.00 | |
% 30.77/5.00 | | (8) ~ v1_funct_2(all_72_5, all_178_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | REDUCE: (2), (8) imply:
% 30.77/5.00 | | (9) ~ v1_funct_2(all_72_5, all_171_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | PRED_UNIFY: (4), (9) imply:
% 30.77/5.00 | | (10) $false
% 30.77/5.00 | |
% 30.77/5.00 | | CLOSE: (10) is inconsistent.
% 30.77/5.00 | |
% 30.77/5.00 | End of split
% 30.77/5.00 |
% 30.77/5.00 End of proof
% 30.77/5.00
% 30.77/5.00 Sub-proof #2 shows that the following formulas are inconsistent:
% 30.77/5.00 ----------------------------------------------------------------
% 30.77/5.00 (1) ~ m2_relset_1(all_72_4, all_178_0, all_84_1) | ~ v1_funct_2(all_72_4,
% 30.77/5.00 all_178_0, all_84_1)
% 30.77/5.00 (2) all_178_0 = all_171_0
% 30.77/5.00 (3) m2_relset_1(all_72_4, all_171_0, all_84_1)
% 30.77/5.00 (4) v1_funct_2(all_72_4, all_171_0, all_84_1)
% 30.77/5.00
% 30.77/5.00 Begin of proof
% 30.77/5.00 |
% 30.77/5.00 | BETA: splitting (1) gives:
% 30.77/5.00 |
% 30.77/5.00 | Case 1:
% 30.77/5.00 | |
% 30.77/5.00 | | (5) ~ m2_relset_1(all_72_4, all_178_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | REDUCE: (2), (5) imply:
% 30.77/5.00 | | (6) ~ m2_relset_1(all_72_4, all_171_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | PRED_UNIFY: (3), (6) imply:
% 30.77/5.00 | | (7) $false
% 30.77/5.00 | |
% 30.77/5.00 | | CLOSE: (7) is inconsistent.
% 30.77/5.00 | |
% 30.77/5.00 | Case 2:
% 30.77/5.00 | |
% 30.77/5.00 | | (8) ~ v1_funct_2(all_72_4, all_178_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | REDUCE: (2), (8) imply:
% 30.77/5.00 | | (9) ~ v1_funct_2(all_72_4, all_171_0, all_84_1)
% 30.77/5.00 | |
% 30.77/5.00 | | PRED_UNIFY: (4), (9) imply:
% 30.77/5.00 | | (10) $false
% 30.77/5.00 | |
% 30.77/5.00 | | CLOSE: (10) is inconsistent.
% 30.77/5.00 | |
% 30.77/5.00 | End of split
% 30.77/5.00 |
% 30.77/5.00 End of proof
% 30.77/5.00 % SZS output end Proof for theBenchmark
% 30.77/5.00
% 30.77/5.00 4423ms
%------------------------------------------------------------------------------