TSTP Solution File: LAT300+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : LAT300+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 : n028.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 06:24:32 EDT 2023
% Result : Theorem 15.07s 2.82s
% Output : Proof 18.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 07:08:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.14/1.12 Prover 4: Preprocessing ...
% 3.14/1.12 Prover 1: Preprocessing ...
% 3.50/1.16 Prover 3: Preprocessing ...
% 3.50/1.16 Prover 2: Preprocessing ...
% 3.50/1.16 Prover 5: Preprocessing ...
% 3.50/1.16 Prover 6: Preprocessing ...
% 3.50/1.16 Prover 0: Preprocessing ...
% 6.56/1.63 Prover 2: Proving ...
% 6.56/1.63 Prover 5: Proving ...
% 7.11/1.69 Prover 1: Warning: ignoring some quantifiers
% 7.46/1.72 Prover 1: Constructing countermodel ...
% 7.46/1.72 Prover 3: Warning: ignoring some quantifiers
% 7.46/1.74 Prover 3: Constructing countermodel ...
% 7.69/1.78 Prover 6: Proving ...
% 8.74/1.94 Prover 4: Warning: ignoring some quantifiers
% 9.36/2.04 Prover 4: Constructing countermodel ...
% 9.36/2.06 Prover 0: Proving ...
% 10.62/2.16 Prover 3: gave up
% 10.62/2.16 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.55/2.29 Prover 7: Preprocessing ...
% 12.08/2.37 Prover 7: Warning: ignoring some quantifiers
% 12.08/2.39 Prover 1: gave up
% 12.08/2.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.08/2.39 Prover 7: Constructing countermodel ...
% 12.53/2.43 Prover 8: Preprocessing ...
% 13.47/2.55 Prover 8: Warning: ignoring some quantifiers
% 13.47/2.57 Prover 8: Constructing countermodel ...
% 15.07/2.82 Prover 5: proved (2172ms)
% 15.07/2.82
% 15.07/2.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.07/2.82
% 15.07/2.83 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.07/2.83 Prover 2: stopped
% 15.07/2.83 Prover 0: stopped
% 15.07/2.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.07/2.84 Prover 6: stopped
% 15.07/2.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.07/2.84 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 15.97/2.90 Prover 13: Preprocessing ...
% 15.97/2.90 Prover 16: Preprocessing ...
% 15.97/2.90 Prover 11: Preprocessing ...
% 15.97/2.93 Prover 10: Preprocessing ...
% 16.38/2.97 Prover 16: Warning: ignoring some quantifiers
% 16.38/2.98 Prover 16: Constructing countermodel ...
% 16.38/2.98 Prover 10: Warning: ignoring some quantifiers
% 16.38/2.99 Prover 13: Warning: ignoring some quantifiers
% 16.38/3.00 Prover 10: Constructing countermodel ...
% 16.84/3.01 Prover 13: Constructing countermodel ...
% 16.84/3.05 Prover 8: gave up
% 17.24/3.07 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 17.24/3.09 Prover 19: Preprocessing ...
% 17.24/3.14 Prover 7: Found proof (size 33)
% 17.24/3.14 Prover 7: proved (977ms)
% 17.24/3.14 Prover 10: stopped
% 17.24/3.14 Prover 13: stopped
% 17.97/3.15 Prover 16: stopped
% 17.97/3.15 Prover 4: stopped
% 18.21/3.20 Prover 11: Warning: ignoring some quantifiers
% 18.21/3.21 Prover 11: Constructing countermodel ...
% 18.21/3.22 Prover 19: Warning: ignoring some quantifiers
% 18.21/3.22 Prover 11: stopped
% 18.21/3.22 Prover 19: Constructing countermodel ...
% 18.21/3.23 Prover 19: stopped
% 18.21/3.23
% 18.21/3.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.21/3.23
% 18.21/3.23 % SZS output start Proof for theBenchmark
% 18.21/3.24 Assumptions after simplification:
% 18.21/3.24 ---------------------------------
% 18.21/3.24
% 18.21/3.24 (dt_l2_lattices)
% 18.48/3.24 ! [v0: $i] : ( ~ $i(v0) | ~ l2_lattices(v0) | l1_struct_0(v0))
% 18.48/3.24
% 18.48/3.24 (dt_l3_lattices)
% 18.48/3.24 ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0)) & ! [v0: $i]
% 18.48/3.24 : ( ~ $i(v0) | ~ l3_lattices(v0) | l1_lattices(v0))
% 18.48/3.24
% 18.48/3.24 (dt_m1_struct_0)
% 18.51/3.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 18.51/3.27 (u1_struct_0(v0) = v2) | ~ (k1_zfmisc_1(v2) = v3) | ~ $i(v4) | ~ $i(v1) |
% 18.51/3.27 ~ $i(v0) | ~ m1_struct_0(v4, v0, v1) | ~ l1_struct_0(v0) | ~
% 18.51/3.27 m1_subset_1(v1, v3) | v1_xboole_0(v1) | m1_subset_1(v4, v2) |
% 18.51/3.27 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (
% 18.51/3.27 ~ (u1_struct_0(v0) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 18.51/3.27 m1_struct_0(v3, v0, v1) | ~ l1_struct_0(v0) | v1_xboole_0(v1) |
% 18.51/3.27 m1_subset_1(v3, v2) | v3_struct_0(v0) | ? [v4: $i] : (k1_zfmisc_1(v2) = v4
% 18.51/3.27 & $i(v4) & ~ m1_subset_1(v1, v4)))
% 18.51/3.27
% 18.51/3.27 (dt_m2_filter_2)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v1_xboole_0(v1) | ~
% 18.51/3.27 m2_filter_2(v1, v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 18.51/3.27 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 18.51/3.27 m2_filter_2(v1, v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 18.51/3.27 m2_lattice4(v1, v0) | v3_struct_0(v0))
% 18.51/3.27
% 18.51/3.27 (dt_m2_lattice4)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 18.51/3.27 l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2: $i] :
% 18.51/3.27 (k1_zfmisc_1(v1) = v2 & $i(v2) & ! [v3: $i] : ( ~ $i(v3) | ~
% 18.51/3.27 m2_lattice4(v3, v0) | m1_subset_1(v3, v2))))
% 18.51/3.27
% 18.51/3.27 (existence_m1_struct_0)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u1_struct_0(v0) =
% 18.51/3.27 v2) | ~ (k1_zfmisc_1(v2) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 18.51/3.27 l1_struct_0(v0) | ~ m1_subset_1(v1, v3) | v1_xboole_0(v1) | v3_struct_0(v0)
% 18.51/3.27 | ? [v4: $i] : ($i(v4) & m1_struct_0(v4, v0, v1)))
% 18.51/3.27
% 18.51/3.27 (rc5_struct_0)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ~
% 18.51/3.27 l1_struct_0(v0) | v3_struct_0(v0) | ? [v2: $i] : ? [v3: $i] :
% 18.51/3.27 (k1_zfmisc_1(v1) = v2 & $i(v3) & $i(v2) & m1_subset_1(v3, v2) & ~
% 18.51/3.27 v1_xboole_0(v3)))
% 18.51/3.27
% 18.51/3.27 (redefinition_m1_struct_0)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 18.51/3.27 (u1_struct_0(v0) = v2) | ~ (k1_zfmisc_1(v2) = v3) | ~ $i(v4) | ~ $i(v1) |
% 18.51/3.27 ~ $i(v0) | ~ m1_struct_0(v4, v0, v1) | ~ l1_struct_0(v0) | ~
% 18.51/3.27 m1_subset_1(v1, v3) | v1_xboole_0(v1) | m1_subset_1(v4, v1) |
% 18.51/3.27 v3_struct_0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 18.51/3.27 ! [v4: $i] : ( ~ (u1_struct_0(v0) = v2) | ~ (k1_zfmisc_1(v2) = v3) | ~
% 18.51/3.27 $i(v4) | ~ $i(v1) | ~ $i(v0) | ~ l1_struct_0(v0) | ~ m1_subset_1(v4, v1)
% 18.51/3.27 | ~ m1_subset_1(v1, v3) | m1_struct_0(v4, v0, v1) | v1_xboole_0(v1) |
% 18.51/3.27 v3_struct_0(v0))
% 18.51/3.27
% 18.51/3.27 (t24_filter_2)
% 18.51/3.27 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (u1_struct_0(v0) = v1 & $i(v2) &
% 18.51/3.27 $i(v1) & $i(v0) & m2_filter_2(v2, v0) & l3_lattices(v0) & v10_lattices(v0) &
% 18.51/3.27 ~ v3_struct_0(v0) & ! [v3: $i] : ( ~ $i(v3) | ~ r2_hidden(v3, v2) | ~
% 18.51/3.27 m1_subset_1(v3, v1)))
% 18.51/3.27
% 18.51/3.27 (t2_subset)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m1_subset_1(v0, v1) |
% 18.51/3.27 v1_xboole_0(v1) | r2_hidden(v0, v1))
% 18.51/3.27
% 18.51/3.27 (function-axioms)
% 18.51/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1)
% 18.51/3.27 | ~ (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 18.51/3.28 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 18.51/3.28
% 18.51/3.28 Further assumptions not needed in the proof:
% 18.51/3.28 --------------------------------------------
% 18.51/3.28 antisymmetry_r2_hidden, cc1_funct_1, cc1_lattices, cc2_lattices, dt_k1_xboole_0,
% 18.51/3.28 dt_k1_zfmisc_1, dt_l1_lattices, dt_l1_struct_0, dt_m1_subset_1, dt_u1_struct_0,
% 18.51/3.28 existence_l1_lattices, existence_l1_struct_0, existence_l2_lattices,
% 18.51/3.28 existence_l3_lattices, existence_m1_subset_1, existence_m2_filter_2,
% 18.51/3.28 existence_m2_lattice4, fc1_struct_0, fc1_subset_1, fc1_xboole_0, rc1_lattice4,
% 18.51/3.28 rc1_subset_1, rc1_xboole_0, rc2_subset_1, rc2_xboole_0, rc3_struct_0,
% 18.51/3.28 reflexivity_r1_tarski, t1_subset, t3_subset, t4_subset, t5_subset, t6_boole,
% 18.51/3.28 t7_boole, t8_boole
% 18.51/3.28
% 18.51/3.28 Those formulas are unsatisfiable:
% 18.51/3.28 ---------------------------------
% 18.51/3.28
% 18.51/3.28 Begin of proof
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (dt_l3_lattices) implies:
% 18.51/3.28 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ l3_lattices(v0) | l2_lattices(v0))
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (dt_m1_struct_0) implies:
% 18.51/3.28 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 18.51/3.28 | ~ (u1_struct_0(v0) = v2) | ~ (k1_zfmisc_1(v2) = v3) | ~ $i(v4) | ~
% 18.51/3.28 | $i(v1) | ~ $i(v0) | ~ m1_struct_0(v4, v0, v1) | ~ l1_struct_0(v0)
% 18.51/3.28 | | ~ m1_subset_1(v1, v3) | v1_xboole_0(v1) | m1_subset_1(v4, v2) |
% 18.51/3.28 | v3_struct_0(v0))
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (dt_m2_filter_2) implies:
% 18.51/3.28 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ m2_filter_2(v1,
% 18.51/3.28 | v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | m2_lattice4(v1,
% 18.51/3.28 | v0) | v3_struct_0(v0))
% 18.51/3.28 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ v1_xboole_0(v1)
% 18.51/3.28 | | ~ m2_filter_2(v1, v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) |
% 18.51/3.28 | v3_struct_0(v0))
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (redefinition_m1_struct_0) implies:
% 18.51/3.28 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 18.51/3.28 | ~ (u1_struct_0(v0) = v2) | ~ (k1_zfmisc_1(v2) = v3) | ~ $i(v4) | ~
% 18.51/3.28 | $i(v1) | ~ $i(v0) | ~ m1_struct_0(v4, v0, v1) | ~ l1_struct_0(v0)
% 18.51/3.28 | | ~ m1_subset_1(v1, v3) | v1_xboole_0(v1) | m1_subset_1(v4, v1) |
% 18.51/3.28 | v3_struct_0(v0))
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (function-axioms) implies:
% 18.51/3.28 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 18.51/3.28 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 18.51/3.28 |
% 18.51/3.28 | DELTA: instantiating (t24_filter_2) with fresh symbols all_48_0, all_48_1,
% 18.51/3.28 | all_48_2 gives:
% 18.51/3.28 | (7) u1_struct_0(all_48_2) = all_48_1 & $i(all_48_0) & $i(all_48_1) &
% 18.51/3.28 | $i(all_48_2) & m2_filter_2(all_48_0, all_48_2) & l3_lattices(all_48_2)
% 18.51/3.28 | & v10_lattices(all_48_2) & ~ v3_struct_0(all_48_2) & ! [v0: $i] : ( ~
% 18.51/3.28 | $i(v0) | ~ r2_hidden(v0, all_48_0) | ~ m1_subset_1(v0, all_48_1))
% 18.51/3.28 |
% 18.51/3.28 | ALPHA: (7) implies:
% 18.51/3.28 | (8) ~ v3_struct_0(all_48_2)
% 18.51/3.28 | (9) v10_lattices(all_48_2)
% 18.51/3.28 | (10) l3_lattices(all_48_2)
% 18.51/3.28 | (11) m2_filter_2(all_48_0, all_48_2)
% 18.51/3.28 | (12) $i(all_48_2)
% 18.51/3.28 | (13) $i(all_48_0)
% 18.51/3.28 | (14) u1_struct_0(all_48_2) = all_48_1
% 18.51/3.28 | (15) ! [v0: $i] : ( ~ $i(v0) | ~ r2_hidden(v0, all_48_0) | ~
% 18.51/3.28 | m1_subset_1(v0, all_48_1))
% 18.51/3.28 |
% 18.51/3.28 | GROUND_INST: instantiating (1) with all_48_2, simplifying with (10), (12)
% 18.51/3.28 | gives:
% 18.51/3.29 | (16) l2_lattices(all_48_2)
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (3) with all_48_2, all_48_0, simplifying with (8),
% 18.51/3.29 | (9), (10), (11), (12), (13) gives:
% 18.51/3.29 | (17) m2_lattice4(all_48_0, all_48_2)
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (dt_m2_lattice4) with all_48_2, all_48_1,
% 18.51/3.29 | simplifying with (8), (9), (10), (12), (14) gives:
% 18.51/3.29 | (18) ? [v0: $i] : (k1_zfmisc_1(all_48_1) = v0 & $i(v0) & ! [v1: $i] : ( ~
% 18.51/3.29 | $i(v1) | ~ m2_lattice4(v1, all_48_2) | m1_subset_1(v1, v0)))
% 18.51/3.29 |
% 18.51/3.29 | DELTA: instantiating (18) with fresh symbol all_67_0 gives:
% 18.51/3.29 | (19) k1_zfmisc_1(all_48_1) = all_67_0 & $i(all_67_0) & ! [v0: $i] : ( ~
% 18.51/3.29 | $i(v0) | ~ m2_lattice4(v0, all_48_2) | m1_subset_1(v0, all_67_0))
% 18.51/3.29 |
% 18.51/3.29 | ALPHA: (19) implies:
% 18.51/3.29 | (20) k1_zfmisc_1(all_48_1) = all_67_0
% 18.51/3.29 | (21) ! [v0: $i] : ( ~ $i(v0) | ~ m2_lattice4(v0, all_48_2) |
% 18.51/3.29 | m1_subset_1(v0, all_67_0))
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (dt_l2_lattices) with all_48_2, simplifying with
% 18.51/3.29 | (12), (16) gives:
% 18.51/3.29 | (22) l1_struct_0(all_48_2)
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (21) with all_48_0, simplifying with (13), (17)
% 18.51/3.29 | gives:
% 18.51/3.29 | (23) m1_subset_1(all_48_0, all_67_0)
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (4) with all_48_2, all_48_0, simplifying with (8),
% 18.51/3.29 | (9), (10), (11), (12), (13) gives:
% 18.51/3.29 | (24) ~ v1_xboole_0(all_48_0)
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (existence_m1_struct_0) with all_48_2, all_48_0,
% 18.51/3.29 | all_48_1, all_67_0, simplifying with (8), (12), (13), (14), (20),
% 18.51/3.29 | (22), (23) gives:
% 18.51/3.29 | (25) v1_xboole_0(all_48_0) | ? [v0: $i] : ($i(v0) & m1_struct_0(v0,
% 18.51/3.29 | all_48_2, all_48_0))
% 18.51/3.29 |
% 18.51/3.29 | GROUND_INST: instantiating (rc5_struct_0) with all_48_2, all_48_1, simplifying
% 18.51/3.29 | with (8), (12), (14), (22) gives:
% 18.51/3.29 | (26) ? [v0: $i] : ? [v1: $i] : (k1_zfmisc_1(all_48_1) = v0 & $i(v1) &
% 18.51/3.29 | $i(v0) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 18.51/3.29 |
% 18.51/3.29 | DELTA: instantiating (26) with fresh symbols all_94_0, all_94_1 gives:
% 18.51/3.29 | (27) k1_zfmisc_1(all_48_1) = all_94_1 & $i(all_94_0) & $i(all_94_1) &
% 18.51/3.29 | m1_subset_1(all_94_0, all_94_1) & ~ v1_xboole_0(all_94_0)
% 18.51/3.29 |
% 18.51/3.29 | ALPHA: (27) implies:
% 18.51/3.29 | (28) k1_zfmisc_1(all_48_1) = all_94_1
% 18.51/3.29 |
% 18.51/3.29 | BETA: splitting (25) gives:
% 18.51/3.29 |
% 18.51/3.29 | Case 1:
% 18.51/3.29 | |
% 18.51/3.29 | | (29) v1_xboole_0(all_48_0)
% 18.51/3.29 | |
% 18.51/3.29 | | PRED_UNIFY: (24), (29) imply:
% 18.51/3.29 | | (30) $false
% 18.51/3.29 | |
% 18.51/3.29 | | CLOSE: (30) is inconsistent.
% 18.51/3.29 | |
% 18.51/3.29 | Case 2:
% 18.51/3.29 | |
% 18.51/3.29 | | (31) ? [v0: $i] : ($i(v0) & m1_struct_0(v0, all_48_2, all_48_0))
% 18.51/3.29 | |
% 18.51/3.29 | | DELTA: instantiating (31) with fresh symbol all_107_0 gives:
% 18.51/3.29 | | (32) $i(all_107_0) & m1_struct_0(all_107_0, all_48_2, all_48_0)
% 18.51/3.29 | |
% 18.51/3.29 | | ALPHA: (32) implies:
% 18.51/3.29 | | (33) m1_struct_0(all_107_0, all_48_2, all_48_0)
% 18.51/3.29 | | (34) $i(all_107_0)
% 18.51/3.29 | |
% 18.51/3.29 | | GROUND_INST: instantiating (6) with all_67_0, all_94_1, all_48_1,
% 18.51/3.29 | | simplifying with (20), (28) gives:
% 18.51/3.29 | | (35) all_94_1 = all_67_0
% 18.51/3.29 | |
% 18.51/3.30 | | GROUND_INST: instantiating (2) with all_48_2, all_48_0, all_48_1, all_67_0,
% 18.51/3.30 | | all_107_0, simplifying with (8), (12), (13), (14), (20), (22),
% 18.51/3.30 | | (23), (24), (33), (34) gives:
% 18.51/3.30 | | (36) m1_subset_1(all_107_0, all_48_1)
% 18.51/3.30 | |
% 18.51/3.30 | | GROUND_INST: instantiating (5) with all_48_2, all_48_0, all_48_1, all_67_0,
% 18.51/3.30 | | all_107_0, simplifying with (8), (12), (13), (14), (20), (22),
% 18.51/3.30 | | (23), (24), (33), (34) gives:
% 18.51/3.30 | | (37) m1_subset_1(all_107_0, all_48_0)
% 18.51/3.30 | |
% 18.51/3.30 | | GROUND_INST: instantiating (t2_subset) with all_107_0, all_48_0, simplifying
% 18.51/3.30 | | with (13), (24), (34), (37) gives:
% 18.51/3.30 | | (38) r2_hidden(all_107_0, all_48_0)
% 18.51/3.30 | |
% 18.51/3.30 | | GROUND_INST: instantiating (15) with all_107_0, simplifying with (34), (36),
% 18.51/3.30 | | (38) gives:
% 18.51/3.30 | | (39) $false
% 18.51/3.30 | |
% 18.51/3.30 | | CLOSE: (39) is inconsistent.
% 18.51/3.30 | |
% 18.51/3.30 | End of split
% 18.51/3.30 |
% 18.51/3.30 End of proof
% 18.51/3.30 % SZS output end Proof for theBenchmark
% 18.51/3.30
% 18.51/3.30 2677ms
%------------------------------------------------------------------------------