TSTP Solution File: LAT289+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT289+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 : n025.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 06:24:25 EDT 2023
% Result : Theorem 22.98s 3.87s
% Output : Proof 32.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 07:46:06 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.63 ________ _____
% 0.22/0.63 ___ __ \_________(_)________________________________
% 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.63
% 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.63 (2023-06-19)
% 0.22/0.63
% 0.22/0.63 (c) Philipp Rümmer, 2009-2023
% 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.63 Amanda Stjerna.
% 0.22/0.63 Free software under BSD-3-Clause.
% 0.22/0.63
% 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.63
% 0.22/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.22/0.64 Running up to 7 provers in parallel.
% 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.59/1.33 Prover 4: Preprocessing ...
% 3.59/1.33 Prover 1: Preprocessing ...
% 4.10/1.36 Prover 3: Preprocessing ...
% 4.10/1.36 Prover 2: Preprocessing ...
% 4.10/1.36 Prover 0: Preprocessing ...
% 4.10/1.36 Prover 5: Preprocessing ...
% 4.10/1.37 Prover 6: Preprocessing ...
% 10.21/2.15 Prover 5: Proving ...
% 10.69/2.19 Prover 1: Warning: ignoring some quantifiers
% 10.69/2.23 Prover 2: Proving ...
% 11.30/2.28 Prover 1: Constructing countermodel ...
% 11.30/2.29 Prover 6: Proving ...
% 11.30/2.30 Prover 3: Warning: ignoring some quantifiers
% 11.75/2.37 Prover 3: Constructing countermodel ...
% 16.48/3.01 Prover 4: Warning: ignoring some quantifiers
% 17.68/3.14 Prover 4: Constructing countermodel ...
% 19.07/3.36 Prover 0: Proving ...
% 22.98/3.86 Prover 5: proved (3201ms)
% 22.98/3.86
% 22.98/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.98/3.87
% 22.98/3.87 Prover 3: stopped
% 22.98/3.87 Prover 2: stopped
% 22.98/3.88 Prover 0: stopped
% 22.98/3.89 Prover 6: stopped
% 22.98/3.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 22.98/3.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 22.98/3.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.98/3.90 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.98/3.90 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 24.54/4.07 Prover 7: Preprocessing ...
% 24.74/4.09 Prover 8: Preprocessing ...
% 24.74/4.10 Prover 11: Preprocessing ...
% 25.17/4.15 Prover 10: Preprocessing ...
% 25.40/4.16 Prover 13: Preprocessing ...
% 25.40/4.19 Prover 7: Warning: ignoring some quantifiers
% 25.40/4.21 Prover 7: Constructing countermodel ...
% 26.34/4.28 Prover 8: Warning: ignoring some quantifiers
% 26.34/4.30 Prover 8: Constructing countermodel ...
% 26.87/4.35 Prover 10: Warning: ignoring some quantifiers
% 26.87/4.36 Prover 10: Constructing countermodel ...
% 27.45/4.45 Prover 13: Warning: ignoring some quantifiers
% 27.68/4.47 Prover 13: Constructing countermodel ...
% 31.80/5.01 Prover 10: Found proof (size 54)
% 31.80/5.01 Prover 10: proved (1127ms)
% 31.80/5.01 Prover 7: stopped
% 31.80/5.01 Prover 13: stopped
% 31.80/5.01 Prover 8: stopped
% 31.80/5.01 Prover 1: stopped
% 31.80/5.02 Prover 4: stopped
% 32.14/5.15 Prover 11: Warning: ignoring some quantifiers
% 32.53/5.18 Prover 11: Constructing countermodel ...
% 32.53/5.19 Prover 11: stopped
% 32.53/5.19
% 32.53/5.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.53/5.19
% 32.63/5.19 % SZS output start Proof for theBenchmark
% 32.63/5.20 Assumptions after simplification:
% 32.63/5.20 ---------------------------------
% 32.63/5.20
% 32.63/5.20 (dt_k7_lopclset)
% 32.63/5.22 ! [v0: $i] : ! [v1: $i] : ( ~ (k7_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.22 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 32.63/5.22 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 32.63/5.22 : (u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 &
% 32.63/5.23 $i(v4) & $i(v3) & $i(v2) & m1_subset_1(v1, v4)))
% 32.63/5.23
% 32.63/5.23 (dt_k9_lopclset)
% 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.23 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) | v1_funct_1(v1)
% 32.63/5.23 | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 32.63/5.23 (k9_lopclset(v0) = v1) | ~ $i(v0) | ~ l3_lattices(v0) | ~
% 32.63/5.23 v17_lattices(v0) | ~ v10_lattices(v0) | v3_realset2(v0) | v3_struct_0(v0) |
% 32.63/5.23 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (k7_lopclset(v0) = v3 &
% 32.63/5.23 u1_struct_0(v0) = v2 & k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) &
% 32.63/5.23 m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4)))
% 32.63/5.23
% 32.63/5.23 (dt_l2_lattices)
% 32.63/5.23 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0))
% 32.63/5.23
% 32.63/5.23 (dt_l3_lattices)
% 32.63/5.23 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i]
% 32.63/5.23 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 32.63/5.23
% 32.63/5.23 (fc1_struct_0)
% 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.23 l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 32.63/5.23
% 32.63/5.23 (redefinition_k8_funct_2)
% 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 32.63/5.23 (k8_funct_2(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 32.63/5.23 $i(v0) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2,
% 32.63/5.23 v0, v1) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | (k1_funct_1(v2, v3) =
% 32.63/5.23 v4 & $i(v4)))
% 32.63/5.23
% 32.63/5.23 (redefinition_k9_lopclset)
% 32.63/5.23 ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.23 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 32.63/5.23 v3_realset2(v0) | v3_struct_0(v0) | (k8_lopclset(v0) = v1 & $i(v1)))
% 32.63/5.23
% 32.63/5.23 (redefinition_m2_relset_1)
% 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 32.63/5.24 ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0: $i] : !
% 32.63/5.24 [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 32.63/5.24 m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 32.63/5.24
% 32.63/5.24 (t21_lopclset)
% 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ( ~ (k8_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.24 l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 32.63/5.24 v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : (u1_struct_0(v0) = v2 &
% 32.63/5.24 $i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v1, v3)
% 32.63/5.24 = v4) | ~ $i(v5) | ~ $i(v3) | ~ r2_hidden(v5, v4) | ~
% 32.63/5.24 m1_filter_0(v5, v0) | ~ m1_subset_1(v3, v2) | r2_hidden(v3, v5)) & !
% 32.63/5.24 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~
% 32.63/5.24 $i(v5) | ~ $i(v3) | ~ r2_hidden(v5, v4) | ~ m1_filter_0(v5, v0) | ~
% 32.63/5.24 m1_subset_1(v3, v2) | v1_filter_0(v5, v0)) & ! [v3: $i] : ! [v4: $i] :
% 32.63/5.24 ! [v5: $i] : ( ~ (k1_funct_1(v1, v3) = v4) | ~ $i(v5) | ~ $i(v3) | ~
% 32.63/5.24 r2_hidden(v3, v5) | ~ v1_filter_0(v5, v0) | ~ m1_filter_0(v5, v0) | ~
% 32.63/5.24 m1_subset_1(v3, v2) | r2_hidden(v5, v4))))
% 32.63/5.24
% 32.63/5.24 (t27_lopclset)
% 32.63/5.24 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 32.63/5.24 $i] : ? [v6: $i] : ? [v7: $i] : (k7_lopclset(v0) = v2 & k9_lopclset(v0) =
% 32.63/5.24 v4 & k8_funct_2(v1, v3, v4, v5) = v6 & u1_struct_0(v0) = v1 &
% 32.63/5.24 k1_zfmisc_1(v2) = v3 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 32.63/5.24 $i(v1) & $i(v0) & r2_hidden(v5, v7) & v1_filter_0(v7, v0) & m1_filter_0(v7,
% 32.63/5.24 v0) & m1_subset_1(v5, v1) & l3_lattices(v0) & v17_lattices(v0) &
% 32.63/5.24 v10_lattices(v0) & ~ r2_hidden(v7, v6) & ~ v3_realset2(v0) & ~
% 32.63/5.24 v3_struct_0(v0))
% 32.63/5.24
% 32.63/5.24 (t2_subset)
% 32.63/5.24 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) |
% 32.63/5.24 v1_xboole_0(v1) | r2_hidden(v0, v1))
% 32.63/5.24
% 32.63/5.24 (function-axioms)
% 32.63/5.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 32.63/5.25 $i] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5,
% 32.63/5.25 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 32.63/5.25 $i] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) =
% 32.63/5.25 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 32.63/5.25 ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0: $i]
% 32.63/5.25 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k7_lopclset(v2) = v1) | ~
% 32.63/5.25 (k7_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 32.63/5.25 | ~ (k9_lopclset(v2) = v1) | ~ (k9_lopclset(v2) = v0)) & ! [v0: $i] : !
% 32.63/5.25 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k8_lopclset(v2) = v1) | ~
% 32.63/5.25 (k8_lopclset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 32.63/5.25 | ~ (a_1_1_lopclset(v2) = v1) | ~ (a_1_1_lopclset(v2) = v0)) & ! [v0: $i]
% 32.63/5.25 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~
% 32.63/5.25 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 32.63/5.25 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 32.63/5.25
% 32.63/5.25 Further assumptions not needed in the proof:
% 32.63/5.25 --------------------------------------------
% 32.63/5.25 antisymmetry_r2_hidden, cc10_membered, cc11_membered, cc12_membered,
% 32.63/5.25 cc13_membered, cc14_membered, cc15_membered, cc16_membered, cc17_membered,
% 32.63/5.25 cc18_membered, cc19_membered, cc1_finset_1, cc1_finsub_1, cc1_funct_2,
% 32.63/5.25 cc1_lattices, cc1_membered, cc1_relset_1, cc20_membered, cc2_finset_1,
% 32.63/5.25 cc2_finsub_1, cc2_lattices, cc2_membered, cc3_lattices, cc3_membered,
% 32.63/5.25 cc4_lattices, cc4_membered, cc5_funct_2, cc5_lattices, cc6_funct_2,
% 32.63/5.25 cc6_lattices, cc7_lattices, d5_lopclset, dt_k1_funct_1, dt_k1_xboole_0,
% 32.63/5.25 dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k8_funct_2, dt_k8_lopclset, dt_l1_lattices,
% 32.63/5.25 dt_l1_struct_0, dt_m1_filter_0, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1,
% 32.63/5.25 dt_u1_struct_0, existence_l1_lattices, existence_l1_struct_0,
% 32.63/5.25 existence_l2_lattices, existence_l3_lattices, existence_m1_filter_0,
% 32.63/5.25 existence_m1_relset_1, existence_m1_subset_1, existence_m2_relset_1,
% 32.63/5.25 fc14_finset_1, fc1_finsub_1, fc2_lopclset, fc6_membered,
% 32.63/5.25 fraenkel_a_1_1_lopclset, rc1_finset_1, rc1_funct_2, rc1_lopclset, rc1_membered,
% 32.63/5.25 rc2_partfun1, rc3_finset_1, rc3_struct_0, rc4_finset_1, rc5_struct_0,
% 32.63/5.25 reflexivity_r1_tarski, t1_subset, t2_tarski, t3_subset, t4_subset, t5_subset,
% 32.63/5.25 t6_boole, t7_boole, t8_boole
% 32.63/5.25
% 32.63/5.25 Those formulas are unsatisfiable:
% 32.63/5.25 ---------------------------------
% 32.63/5.25
% 32.63/5.25 Begin of proof
% 32.63/5.25 |
% 32.63/5.25 | ALPHA: (redefinition_m2_relset_1) implies:
% 32.63/5.25 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 32.63/5.25 | $i(v0) | ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 32.63/5.25 |
% 32.63/5.25 | ALPHA: (dt_k9_lopclset) implies:
% 32.63/5.25 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.25 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 32.63/5.25 | v3_realset2(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 32.63/5.25 | [v4: $i] : (k7_lopclset(v0) = v3 & u1_struct_0(v0) = v2 &
% 32.63/5.25 | k1_zfmisc_1(v3) = v4 & $i(v4) & $i(v3) & $i(v2) & m2_relset_1(v1,
% 32.63/5.25 | v2, v4) & v1_funct_2(v1, v2, v4)))
% 32.63/5.25 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (k9_lopclset(v0) = v1) | ~ $i(v0) | ~
% 32.63/5.25 | l3_lattices(v0) | ~ v17_lattices(v0) | ~ v10_lattices(v0) |
% 32.63/5.25 | v1_funct_1(v1) | v3_realset2(v0) | v3_struct_0(v0))
% 32.63/5.25 |
% 32.63/5.25 | ALPHA: (dt_l3_lattices) implies:
% 32.63/5.25 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0))
% 32.63/5.25 |
% 32.63/5.25 | ALPHA: (function-axioms) implies:
% 32.63/5.25 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 32.63/5.25 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 32.63/5.25 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 32.63/5.25 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 32.63/5.25 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 32.63/5.25 | (k7_lopclset(v2) = v1) | ~ (k7_lopclset(v2) = v0))
% 32.63/5.25 |
% 32.63/5.25 | DELTA: instantiating (t27_lopclset) with fresh symbols all_90_0, all_90_1,
% 32.63/5.25 | all_90_2, all_90_3, all_90_4, all_90_5, all_90_6, all_90_7 gives:
% 32.63/5.26 | (8) k7_lopclset(all_90_7) = all_90_5 & k9_lopclset(all_90_7) = all_90_3 &
% 32.63/5.26 | k8_funct_2(all_90_6, all_90_4, all_90_3, all_90_2) = all_90_1 &
% 32.63/5.26 | u1_struct_0(all_90_7) = all_90_6 & k1_zfmisc_1(all_90_5) = all_90_4 &
% 32.63/5.26 | $i(all_90_0) & $i(all_90_1) & $i(all_90_2) & $i(all_90_3) &
% 32.63/5.26 | $i(all_90_4) & $i(all_90_5) & $i(all_90_6) & $i(all_90_7) &
% 32.63/5.26 | r2_hidden(all_90_2, all_90_0) & v1_filter_0(all_90_0, all_90_7) &
% 32.63/5.26 | m1_filter_0(all_90_0, all_90_7) & m1_subset_1(all_90_2, all_90_6) &
% 32.63/5.26 | l3_lattices(all_90_7) & v17_lattices(all_90_7) & v10_lattices(all_90_7)
% 32.63/5.26 | & ~ r2_hidden(all_90_0, all_90_1) & ~ v3_realset2(all_90_7) & ~
% 32.63/5.26 | v3_struct_0(all_90_7)
% 32.63/5.26 |
% 32.63/5.26 | ALPHA: (8) implies:
% 32.63/5.26 | (9) ~ v3_struct_0(all_90_7)
% 32.63/5.26 | (10) ~ v3_realset2(all_90_7)
% 32.63/5.26 | (11) ~ r2_hidden(all_90_0, all_90_1)
% 32.63/5.26 | (12) v10_lattices(all_90_7)
% 32.63/5.26 | (13) v17_lattices(all_90_7)
% 32.63/5.26 | (14) l3_lattices(all_90_7)
% 32.63/5.26 | (15) m1_subset_1(all_90_2, all_90_6)
% 32.63/5.26 | (16) m1_filter_0(all_90_0, all_90_7)
% 32.63/5.26 | (17) v1_filter_0(all_90_0, all_90_7)
% 32.63/5.26 | (18) r2_hidden(all_90_2, all_90_0)
% 32.63/5.26 | (19) $i(all_90_7)
% 32.63/5.26 | (20) $i(all_90_6)
% 32.63/5.26 | (21) $i(all_90_2)
% 32.63/5.26 | (22) $i(all_90_0)
% 32.63/5.26 | (23) k1_zfmisc_1(all_90_5) = all_90_4
% 32.63/5.26 | (24) u1_struct_0(all_90_7) = all_90_6
% 32.63/5.26 | (25) k8_funct_2(all_90_6, all_90_4, all_90_3, all_90_2) = all_90_1
% 32.63/5.26 | (26) k9_lopclset(all_90_7) = all_90_3
% 32.63/5.26 | (27) k7_lopclset(all_90_7) = all_90_5
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (4) with all_90_7, simplifying with (14), (19)
% 32.63/5.26 | gives:
% 32.63/5.26 | (28) l2_lattices(all_90_7)
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (t2_subset) with all_90_2, all_90_6, simplifying
% 32.63/5.26 | with (15), (20), (21) gives:
% 32.63/5.26 | (29) v1_xboole_0(all_90_6) | r2_hidden(all_90_2, all_90_6)
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (3) with all_90_7, all_90_3, simplifying with (9),
% 32.63/5.26 | (10), (12), (13), (14), (19), (26) gives:
% 32.63/5.26 | (30) v1_funct_1(all_90_3)
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (2) with all_90_7, all_90_3, simplifying with (9),
% 32.63/5.26 | (10), (12), (13), (14), (19), (26) gives:
% 32.63/5.26 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k7_lopclset(all_90_7) = v1
% 32.63/5.26 | & u1_struct_0(all_90_7) = v0 & k1_zfmisc_1(v1) = v2 & $i(v2) &
% 32.63/5.26 | $i(v1) & $i(v0) & m2_relset_1(all_90_3, v0, v2) &
% 32.63/5.26 | v1_funct_2(all_90_3, v0, v2))
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (redefinition_k9_lopclset) with all_90_7, all_90_3,
% 32.63/5.26 | simplifying with (9), (10), (12), (13), (14), (19), (26) gives:
% 32.63/5.26 | (32) k8_lopclset(all_90_7) = all_90_3 & $i(all_90_3)
% 32.63/5.26 |
% 32.63/5.26 | ALPHA: (32) implies:
% 32.63/5.26 | (33) $i(all_90_3)
% 32.63/5.26 | (34) k8_lopclset(all_90_7) = all_90_3
% 32.63/5.26 |
% 32.63/5.26 | GROUND_INST: instantiating (dt_k7_lopclset) with all_90_7, all_90_5,
% 32.63/5.26 | simplifying with (9), (10), (12), (13), (14), (19), (27) gives:
% 32.63/5.26 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(all_90_7) = v0
% 32.63/5.26 | & k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & $i(v2) & $i(v1) &
% 32.63/5.26 | $i(v0) & m1_subset_1(all_90_5, v2))
% 32.63/5.26 |
% 32.63/5.26 | DELTA: instantiating (35) with fresh symbols all_102_0, all_102_1, all_102_2
% 32.63/5.26 | gives:
% 32.63/5.27 | (36) u1_struct_0(all_90_7) = all_102_2 & k1_zfmisc_1(all_102_1) = all_102_0
% 32.63/5.27 | & k1_zfmisc_1(all_102_2) = all_102_1 & $i(all_102_0) & $i(all_102_1) &
% 32.63/5.27 | $i(all_102_2) & m1_subset_1(all_90_5, all_102_0)
% 32.63/5.27 |
% 32.63/5.27 | ALPHA: (36) implies:
% 32.63/5.27 | (37) $i(all_102_2)
% 32.63/5.27 | (38) u1_struct_0(all_90_7) = all_102_2
% 32.63/5.27 |
% 32.63/5.27 | DELTA: instantiating (31) with fresh symbols all_104_0, all_104_1, all_104_2
% 32.63/5.27 | gives:
% 32.63/5.27 | (39) k7_lopclset(all_90_7) = all_104_1 & u1_struct_0(all_90_7) = all_104_2
% 32.63/5.27 | & k1_zfmisc_1(all_104_1) = all_104_0 & $i(all_104_0) & $i(all_104_1) &
% 32.63/5.27 | $i(all_104_2) & m2_relset_1(all_90_3, all_104_2, all_104_0) &
% 32.63/5.27 | v1_funct_2(all_90_3, all_104_2, all_104_0)
% 32.63/5.27 |
% 32.63/5.27 | ALPHA: (39) implies:
% 32.63/5.27 | (40) v1_funct_2(all_90_3, all_104_2, all_104_0)
% 32.63/5.27 | (41) m2_relset_1(all_90_3, all_104_2, all_104_0)
% 32.63/5.27 | (42) $i(all_104_0)
% 32.63/5.27 | (43) k1_zfmisc_1(all_104_1) = all_104_0
% 32.63/5.27 | (44) u1_struct_0(all_90_7) = all_104_2
% 32.63/5.27 | (45) k7_lopclset(all_90_7) = all_104_1
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (6) with all_90_6, all_104_2, all_90_7, simplifying
% 32.63/5.27 | with (24), (44) gives:
% 32.63/5.27 | (46) all_104_2 = all_90_6
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (6) with all_102_2, all_104_2, all_90_7,
% 32.63/5.27 | simplifying with (38), (44) gives:
% 32.63/5.27 | (47) all_104_2 = all_102_2
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (7) with all_90_5, all_104_1, all_90_7, simplifying
% 32.63/5.27 | with (27), (45) gives:
% 32.63/5.27 | (48) all_104_1 = all_90_5
% 32.63/5.27 |
% 32.63/5.27 | COMBINE_EQS: (46), (47) imply:
% 32.63/5.27 | (49) all_102_2 = all_90_6
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (43), (48) imply:
% 32.63/5.27 | (50) k1_zfmisc_1(all_90_5) = all_104_0
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (41), (46) imply:
% 32.63/5.27 | (51) m2_relset_1(all_90_3, all_90_6, all_104_0)
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (40), (46) imply:
% 32.63/5.27 | (52) v1_funct_2(all_90_3, all_90_6, all_104_0)
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (5) with all_90_4, all_104_0, all_90_5, simplifying
% 32.63/5.27 | with (23), (50) gives:
% 32.63/5.27 | (53) all_104_0 = all_90_4
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (42), (53) imply:
% 32.63/5.27 | (54) $i(all_90_4)
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (51), (53) imply:
% 32.63/5.27 | (55) m2_relset_1(all_90_3, all_90_6, all_90_4)
% 32.63/5.27 |
% 32.63/5.27 | REDUCE: (52), (53) imply:
% 32.63/5.27 | (56) v1_funct_2(all_90_3, all_90_6, all_90_4)
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (dt_l2_lattices) with all_90_7, simplifying with
% 32.63/5.27 | (19), (28) gives:
% 32.63/5.27 | (57) l1_struct_0(all_90_7)
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (1) with all_90_6, all_90_4, all_90_3, simplifying
% 32.63/5.27 | with (20), (33), (54), (55) gives:
% 32.63/5.27 | (58) m1_relset_1(all_90_3, all_90_6, all_90_4)
% 32.63/5.27 |
% 32.63/5.27 | GROUND_INST: instantiating (t21_lopclset) with all_90_7, all_90_3, simplifying
% 32.63/5.27 | with (9), (10), (12), (13), (14), (19), (34) gives:
% 32.63/5.27 | (59) ? [v0: $i] : (u1_struct_0(all_90_7) = v0 & $i(v0) & ! [v1: $i] : !
% 32.63/5.27 | [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(all_90_3, v1) = v2) | ~
% 32.63/5.27 | $i(v3) | ~ $i(v1) | ~ r2_hidden(v3, v2) | ~ m1_filter_0(v3,
% 32.63/5.27 | all_90_7) | ~ m1_subset_1(v1, v0) | r2_hidden(v1, v3)) & !
% 32.63/5.27 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_funct_1(all_90_3, v1)
% 32.63/5.27 | = v2) | ~ $i(v3) | ~ $i(v1) | ~ r2_hidden(v3, v2) | ~
% 32.63/5.27 | m1_filter_0(v3, all_90_7) | ~ m1_subset_1(v1, v0) |
% 32.63/5.27 | v1_filter_0(v3, all_90_7)) & ! [v1: $i] : ! [v2: $i] : ! [v3:
% 32.63/5.27 | $i] : ( ~ (k1_funct_1(all_90_3, v1) = v2) | ~ $i(v3) | ~ $i(v1)
% 32.63/5.27 | | ~ r2_hidden(v1, v3) | ~ v1_filter_0(v3, all_90_7) | ~
% 32.63/5.27 | m1_filter_0(v3, all_90_7) | ~ m1_subset_1(v1, v0) | r2_hidden(v3,
% 32.63/5.27 | v2)))
% 32.63/5.27 |
% 32.63/5.27 | DELTA: instantiating (59) with fresh symbol all_124_0 gives:
% 32.63/5.28 | (60) u1_struct_0(all_90_7) = all_124_0 & $i(all_124_0) & ! [v0: $i] : !
% 32.63/5.28 | [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3, v0) = v1) | ~
% 32.63/5.28 | $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~ m1_filter_0(v2,
% 32.63/5.28 | all_90_7) | ~ m1_subset_1(v0, all_124_0) | r2_hidden(v0, v2)) &
% 32.63/5.28 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3, v0)
% 32.63/5.28 | = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v2, v1) | ~
% 32.63/5.28 | m1_filter_0(v2, all_90_7) | ~ m1_subset_1(v0, all_124_0) |
% 32.63/5.28 | v1_filter_0(v2, all_90_7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 32.63/5.28 | : ( ~ (k1_funct_1(all_90_3, v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 32.63/5.28 | r2_hidden(v0, v2) | ~ v1_filter_0(v2, all_90_7) | ~
% 32.63/5.28 | m1_filter_0(v2, all_90_7) | ~ m1_subset_1(v0, all_124_0) |
% 32.63/5.28 | r2_hidden(v2, v1))
% 32.63/5.28 |
% 32.63/5.28 | ALPHA: (60) implies:
% 32.63/5.28 | (61) $i(all_124_0)
% 32.63/5.28 | (62) u1_struct_0(all_90_7) = all_124_0
% 32.63/5.28 | (63) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_funct_1(all_90_3,
% 32.63/5.28 | v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ r2_hidden(v0, v2) | ~
% 32.63/5.28 | v1_filter_0(v2, all_90_7) | ~ m1_filter_0(v2, all_90_7) | ~
% 32.63/5.28 | m1_subset_1(v0, all_124_0) | r2_hidden(v2, v1))
% 32.63/5.28 |
% 32.63/5.28 | GROUND_INST: instantiating (6) with all_90_6, all_124_0, all_90_7, simplifying
% 32.63/5.28 | with (24), (62) gives:
% 32.63/5.28 | (64) all_124_0 = all_90_6
% 32.63/5.28 |
% 32.63/5.28 | GROUND_INST: instantiating (redefinition_k8_funct_2) with all_90_6, all_90_4,
% 32.63/5.28 | all_90_3, all_90_2, all_90_1, simplifying with (15), (20), (21),
% 32.63/5.28 | (25), (30), (33), (54), (56), (58) gives:
% 32.63/5.28 | (65) v1_xboole_0(all_90_6) | (k1_funct_1(all_90_3, all_90_2) = all_90_1 &
% 32.63/5.28 | $i(all_90_1))
% 32.63/5.28 |
% 32.63/5.28 | BETA: splitting (29) gives:
% 32.63/5.28 |
% 32.63/5.28 | Case 1:
% 32.63/5.28 | |
% 32.63/5.28 | | (66) v1_xboole_0(all_90_6)
% 32.63/5.28 | |
% 32.63/5.28 | | GROUND_INST: instantiating (fc1_struct_0) with all_90_7, all_90_6,
% 32.63/5.28 | | simplifying with (9), (19), (24), (57), (66) gives:
% 32.63/5.28 | | (67) $false
% 32.63/5.28 | |
% 32.63/5.28 | | CLOSE: (67) is inconsistent.
% 32.63/5.28 | |
% 32.63/5.28 | Case 2:
% 32.63/5.28 | |
% 32.63/5.28 | | (68) ~ v1_xboole_0(all_90_6)
% 32.63/5.28 | |
% 32.63/5.28 | | BETA: splitting (65) gives:
% 32.63/5.28 | |
% 32.63/5.28 | | Case 1:
% 32.63/5.28 | | |
% 32.63/5.28 | | | (69) v1_xboole_0(all_90_6)
% 32.63/5.28 | | |
% 32.63/5.28 | | | PRED_UNIFY: (68), (69) imply:
% 32.63/5.28 | | | (70) $false
% 32.63/5.28 | | |
% 32.63/5.28 | | | CLOSE: (70) is inconsistent.
% 32.63/5.28 | | |
% 32.63/5.28 | | Case 2:
% 32.63/5.28 | | |
% 32.63/5.28 | | | (71) k1_funct_1(all_90_3, all_90_2) = all_90_1 & $i(all_90_1)
% 32.63/5.28 | | |
% 32.63/5.28 | | | ALPHA: (71) implies:
% 32.63/5.28 | | | (72) k1_funct_1(all_90_3, all_90_2) = all_90_1
% 32.63/5.28 | | |
% 32.63/5.29 | | | GROUND_INST: instantiating (63) with all_90_2, all_90_1, all_90_0,
% 32.63/5.29 | | | simplifying with (11), (16), (17), (18), (21), (22), (72)
% 32.63/5.29 | | | gives:
% 32.63/5.29 | | | (73) ~ m1_subset_1(all_90_2, all_124_0)
% 32.63/5.29 | | |
% 32.63/5.29 | | | REDUCE: (64), (73) imply:
% 32.63/5.29 | | | (74) ~ m1_subset_1(all_90_2, all_90_6)
% 32.63/5.29 | | |
% 32.63/5.29 | | | PRED_UNIFY: (15), (74) imply:
% 32.63/5.29 | | | (75) $false
% 32.63/5.29 | | |
% 32.63/5.29 | | | CLOSE: (75) is inconsistent.
% 32.63/5.29 | | |
% 32.63/5.29 | | End of split
% 32.63/5.29 | |
% 32.63/5.29 | End of split
% 32.63/5.29 |
% 32.63/5.29 End of proof
% 32.63/5.29 % SZS output end Proof for theBenchmark
% 32.63/5.29
% 32.63/5.29 4659ms
%------------------------------------------------------------------------------