TSTP Solution File: SEU102+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n003.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 : 600s
% DateTime : Tue Jul 19 08:46:36 EDT 2022
% Result : Theorem 37.98s 11.04s
% Output : Proof 125.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 19:38:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/0.59 ____ _
% 0.53/0.59 ___ / __ \_____(_)___ ________ __________
% 0.53/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.59
% 0.53/0.59 A Theorem Prover for First-Order Logic
% 0.53/0.59 (ePrincess v.1.0)
% 0.53/0.59
% 0.53/0.59 (c) Philipp Rümmer, 2009-2015
% 0.53/0.59 (c) Peter Backeman, 2014-2015
% 0.53/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.59 Bug reports to peter@backeman.se
% 0.53/0.59
% 0.53/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.59
% 0.53/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.69/0.98 Prover 0: Preprocessing ...
% 2.25/1.20 Prover 0: Warning: ignoring some quantifiers
% 2.25/1.23 Prover 0: Constructing countermodel ...
% 18.82/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.03/6.00 Prover 1: Preprocessing ...
% 19.44/6.14 Prover 1: Warning: ignoring some quantifiers
% 19.44/6.15 Prover 1: Constructing countermodel ...
% 20.37/6.24 Prover 1: gave up
% 20.37/6.25 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.37/6.27 Prover 2: Preprocessing ...
% 20.88/6.37 Prover 2: Warning: ignoring some quantifiers
% 20.88/6.37 Prover 2: Constructing countermodel ...
% 27.66/7.98 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 27.66/8.02 Prover 3: Preprocessing ...
% 27.98/8.05 Prover 3: Warning: ignoring some quantifiers
% 27.98/8.06 Prover 3: Constructing countermodel ...
% 28.08/8.11 Prover 3: gave up
% 28.08/8.11 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 28.29/8.14 Prover 4: Preprocessing ...
% 28.42/8.22 Prover 4: Warning: ignoring some quantifiers
% 28.42/8.22 Prover 4: Constructing countermodel ...
% 35.86/10.40 Prover 0: stopped
% 36.11/10.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 36.21/10.63 Prover 5: Preprocessing ...
% 36.39/10.69 Prover 5: Warning: ignoring some quantifiers
% 36.39/10.69 Prover 5: Constructing countermodel ...
% 37.98/11.04 Prover 5: proved (443ms)
% 37.98/11.04 Prover 2: stopped
% 37.98/11.04 Prover 4: stopped
% 37.98/11.04
% 37.98/11.04 No countermodel exists, formula is valid
% 37.98/11.04 % SZS status Theorem for theBenchmark
% 37.98/11.04
% 37.98/11.04 Generating proof ... Warning: ignoring some quantifiers
% 123.25/69.60 found it (size 1253)
% 123.25/69.60
% 123.25/69.60 % SZS output start Proof for theBenchmark
% 123.25/69.61 Assumed formulas after preprocessing and simplification:
% 123.25/69.61 | (0) empty(empty_set) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (set_difference(v1, v2) = v4) | ~ (empty(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (prebool_difference(v0, v1, v2) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (prebool_difference(v4, v3, v2) = v1) | ~ (prebool_difference(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (element(v2, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (element(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v2, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (preboolean(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v2, v0) = v6 & element(v1, v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (prebool_difference(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (set_difference(v1, v2) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v3 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (prebool_difference(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (element(v3, v0) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : (element(v1, v3) = v4 & element(v0, v2) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : (element(v1, v3) = v4 & empty(v2) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ? [v4] : (element(v0, v1) = v3 & empty(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (natural(v2) = v1) | ~ (natural(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cap_closed(v2) = v1) | ~ (cap_closed(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cup_closed(v2) = v1) | ~ (cup_closed(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (preboolean(v2) = v1) | ~ (preboolean(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (diff_closed(v2) = v1) | ~ (diff_closed(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (finite(v2) = v1) | ~ (finite(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : (set_difference(v0, v2) = v3 & set_intersection2(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v2, v0) = 0) | ~ (element(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (set_difference(v1, v2) = v6 & prebool_difference(v0, v1, v2) = v5 & preboolean(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v6 = v5 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v2, v0) = 0) | ~ (element(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (prebool_difference(v0, v1, v2) = v5 & element(v5, v0) = v6 & preboolean(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v6 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (preboolean(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (finite(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : (powerset(v0) = v2 & ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & finite(v3) = 0 & empty(v3) = v4))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : (powerset(v0) = v2 & ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & empty(v3) = v4))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) = 0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = v3)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) = 0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & element(v2, v1) = 0 & empty(v2) = v3)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & finite(v0) = v2) | ( ! [v2] : ! [v3] : (v3 = 0 | ~ (finite(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (relation(v2) = 0 & function(v2) = 0 & one_to_one(v2) = 0 & epsilon_transitive(v2) = 0 & epsilon_connected(v2) = 0 & ordinal(v2) = 0 & natural(v2) = 0 & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (cup_closed(v0) = v1) | ? [v2] : ? [v3] : (preboolean(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (diff_closed(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v3 & preboolean(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ! [v0] : ( ~ (cup_closed(v0) = 0) | ? [v1] : ? [v2] : (preboolean(v0) = v2 & diff_closed(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0)) & ! [v0] : ( ~ (diff_closed(v0) = 0) | ? [v1] : ? [v2] : (cup_closed(v0) = v1 & preboolean(v0) = v2 & ( ~ (v1 = 0) | v2 = 0))) & ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : (powerset(v0) = v1 & ! [v2] : ! [v3] : (v3 = 0 | ~ (finite(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0))) & ! [v0] : ( ~ (empty(v0) = 0) | finite(v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v3 = 0) & set_intersection2(v0, v1) = v4 & element(v4, v2) = v5 & element(v1, v2) = 0 & element(v0, v2) = 0 & preboolean(v2) = 0 & empty(v2) = v3) & ? [v0] : ? [v1] : element(v1, v0) = 0 & ? [v0] : ? [v1] : ( ~ (v1 = 0) & cap_closed(v0) = 0 & cup_closed(v0) = 0 & preboolean(v0) = 0 & diff_closed(v0) = 0 & empty(v0) = v1) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & finite(v0) = 0 & empty(v0) = v1) & ? [v0] : ? [v1] : ( ~ (v1 = 0) & empty(v0) = v1) & ? [v0] : empty(v0) = 0
% 123.67/69.68 | Applying alpha-rule on (0) yields:
% 123.67/69.68 | (1) ? [v0] : ? [v1] : element(v1, v0) = 0
% 123.67/69.68 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ordinal(v2) = v1) | ~ (ordinal(v2) = v0))
% 123.67/69.68 | (3) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 123.67/69.68 | (4) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1))
% 123.67/69.68 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (preboolean(v2) = v1) | ~ (preboolean(v2) = v0))
% 123.67/69.68 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (preboolean(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v2, v0) = v6 & element(v1, v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0)))
% 123.67/69.69 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 123.67/69.69 | (8) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 123.67/69.69 | (9) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0))
% 123.67/69.69 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : (set_difference(v0, v3) = v2 & set_difference(v0, v1) = v3))
% 123.67/69.69 | (11) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 123.67/69.69 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 123.67/69.69 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 123.67/69.69 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v2, v0) = 0) | ~ (element(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (set_difference(v1, v2) = v6 & prebool_difference(v0, v1, v2) = v5 & preboolean(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v6 = v5 | v3 = 0)))
% 123.67/69.69 | (15) ? [v0] : ? [v1] : ( ~ (v1 = 0) & cap_closed(v0) = 0 & cup_closed(v0) = 0 & preboolean(v0) = 0 & diff_closed(v0) = 0 & empty(v0) = v1)
% 123.67/69.69 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0))
% 123.67/69.69 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 123.67/69.69 | (18) ? [v0] : empty(v0) = 0
% 123.67/69.69 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 123.67/69.69 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (set_difference(v1, v2) = v4) | ~ (empty(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (prebool_difference(v0, v1, v2) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v4)))
% 123.67/69.70 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5))
% 123.67/69.70 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 123.67/69.70 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 123.67/69.70 | (24) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) = 0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = v3))
% 123.67/69.70 | (25) ! [v0] : ( ~ (preboolean(v0) = 0) | (cup_closed(v0) = 0 & diff_closed(v0) = 0))
% 123.67/69.70 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (finite(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 123.67/69.70 | (27) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v3 = 0) & set_intersection2(v0, v1) = v4 & element(v4, v2) = v5 & element(v1, v2) = 0 & element(v0, v2) = 0 & preboolean(v2) = 0 & empty(v2) = v3)
% 123.67/69.70 | (28) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : (powerset(v0) = v2 & ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & empty(v3) = v4)))
% 123.67/69.70 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : (element(v1, v3) = v4 & element(v0, v2) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 123.67/69.70 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 123.67/69.70 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_transitive(v2) = v1) | ~ (epsilon_transitive(v2) = v0))
% 123.67/69.70 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 123.67/69.70 | (33) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 123.67/69.70 | (34) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & finite(v0) = v2) | ( ! [v2] : ! [v3] : (v3 = 0 | ~ (finite(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0)))
% 123.67/69.70 | (35) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ? [v4] : (element(v0, v1) = v3 & empty(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 123.67/69.71 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (finite(v2) = v1) | ~ (finite(v2) = v0))
% 123.67/69.71 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 123.67/69.71 | (38) ! [v0] : ( ~ (diff_closed(v0) = 0) | ? [v1] : ? [v2] : (cup_closed(v0) = v1 & preboolean(v0) = v2 & ( ~ (v1 = 0) | v2 = 0)))
% 123.67/69.71 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4))
% 123.67/69.71 | (40) ! [v0] : ! [v1] : ( ~ (diff_closed(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v3 & preboolean(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 123.67/69.71 | (41) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (relation(v2) = 0 & function(v2) = 0 & one_to_one(v2) = 0 & epsilon_transitive(v2) = 0 & epsilon_connected(v2) = 0 & ordinal(v2) = 0 & natural(v2) = 0 & element(v2, v1) = 0 & finite(v2) = 0 & empty(v2) = 0))
% 123.67/69.71 | (42) ! [v0] : ( ~ (cup_closed(v0) = 0) | ? [v1] : ? [v2] : (preboolean(v0) = v2 & diff_closed(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 123.67/69.71 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (element(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v2, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0)))
% 123.67/69.71 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 123.67/69.71 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0))
% 123.67/69.71 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (prebool_difference(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (set_difference(v1, v2) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = v3 | v4 = 0)))
% 123.85/69.71 | (47) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 123.85/69.71 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_difference(v3, v2) = v1) | ~ (set_difference(v3, v2) = v0))
% 123.85/69.72 | (49) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 123.85/69.72 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 123.85/69.72 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cup_closed(v2) = v1) | ~ (cup_closed(v2) = v0))
% 123.85/69.72 | (52) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 123.85/69.72 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (diff_closed(v2) = v1) | ~ (diff_closed(v2) = v0))
% 123.85/69.72 | (54) ! [v0] : ( ~ (finite(v0) = 0) | ? [v1] : (powerset(v0) = v1 & ! [v2] : ! [v3] : (v3 = 0 | ~ (finite(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & element(v2, v1) = v4)) & ! [v2] : ( ~ (element(v2, v1) = 0) | finite(v2) = 0)))
% 123.85/69.72 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 123.85/69.72 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4))
% 123.85/69.72 | (57) ! [v0] : ( ~ (empty(v0) = 0) | finite(v0) = 0)
% 123.85/69.72 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cap_closed(v2) = v1) | ~ (cap_closed(v2) = v0))
% 123.85/69.72 | (59) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_difference(empty_set, v0) = v1))
% 123.85/69.72 | (60) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0))
% 123.85/69.72 | (61) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_difference(v0, empty_set) = v1))
% 123.85/69.72 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (prebool_difference(v4, v3, v2) = v1) | ~ (prebool_difference(v4, v3, v2) = v0))
% 123.85/69.72 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (prebool_difference(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (element(v3, v0) = v8 & element(v2, v0) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v4 = 0)))
% 123.85/69.72 | (64) ! [v0] : ! [v1] : ( ~ (cup_closed(v0) = v1) | ? [v2] : ? [v3] : (preboolean(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = 0))))
% 123.85/69.73 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ (element(v2, v0) = 0) | ~ (element(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (prebool_difference(v0, v1, v2) = v5 & element(v5, v0) = v6 & preboolean(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v6 = 0 | v3 = 0)))
% 123.85/69.73 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 123.85/69.73 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2)
% 123.85/69.73 | (68) ! [v0] : ! [v1] : (v1 = 0 | ~ (preboolean(v0) = v1) | ? [v2] : ? [v3] : (cup_closed(v0) = v2 & diff_closed(v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 123.85/69.73 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : (element(v1, v3) = v4 & empty(v2) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 123.85/69.73 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_difference(v0, v1) = v2) | ? [v3] : (set_difference(v0, v2) = v3 & set_intersection2(v0, v1) = v3))
% 123.85/69.73 | (71) empty(empty_set) = 0
% 123.85/69.73 | (72) ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2))
% 123.85/69.73 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (epsilon_connected(v2) = v1) | ~ (epsilon_connected(v2) = v0))
% 123.85/69.73 | (74) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | empty(v0) = 0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & element(v2, v1) = 0 & empty(v2) = v3))
% 123.85/69.73 | (75) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0)
% 123.85/69.73 | (76) ? [v0] : ? [v1] : ( ~ (v1 = 0) & finite(v0) = 0 & empty(v0) = v1)
% 123.85/69.73 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (natural(v2) = v1) | ~ (natural(v2) = v0))
% 123.95/69.73 | (78) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 123.95/69.73 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ? [v4] : (finite(v2) = v4 & finite(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 123.95/69.73 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (set_difference(v1, v2) = v3) | ~ (element(v2, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (prebool_difference(v0, v1, v2) = v7 & element(v1, v0) = v6 & preboolean(v0) = v5 & empty(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v3 | v4 = 0)))
% 123.95/69.74 | (81) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : (powerset(v0) = v2 & ? [v3] : ? [v4] : ( ~ (v4 = 0) & element(v3, v2) = 0 & finite(v3) = 0 & empty(v3) = v4)))
% 123.95/69.74 | (82) ? [v0] : ? [v1] : ( ~ (v1 = 0) & empty(v0) = v1)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating (18) with all_2_0_0 yields:
% 123.95/69.74 | (83) empty(all_2_0_0) = 0
% 123.95/69.74 |
% 123.95/69.74 | Instantiating (1) with all_10_0_7, all_10_1_8 yields:
% 123.95/69.74 | (84) element(all_10_0_7, all_10_1_8) = 0
% 123.95/69.74 |
% 123.95/69.74 | Instantiating (27) with all_12_0_9, all_12_1_10, all_12_2_11, all_12_3_12, all_12_4_13, all_12_5_14 yields:
% 123.95/69.74 | (85) ~ (all_12_0_9 = 0) & ~ (all_12_2_11 = 0) & set_intersection2(all_12_5_14, all_12_4_13) = all_12_1_10 & element(all_12_1_10, all_12_3_12) = all_12_0_9 & element(all_12_4_13, all_12_3_12) = 0 & element(all_12_5_14, all_12_3_12) = 0 & preboolean(all_12_3_12) = 0 & empty(all_12_3_12) = all_12_2_11
% 123.95/69.74 |
% 123.95/69.74 | Applying alpha-rule on (85) yields:
% 123.95/69.74 | (86) element(all_12_1_10, all_12_3_12) = all_12_0_9
% 123.95/69.74 | (87) preboolean(all_12_3_12) = 0
% 123.95/69.74 | (88) element(all_12_5_14, all_12_3_12) = 0
% 123.95/69.74 | (89) ~ (all_12_0_9 = 0)
% 123.95/69.74 | (90) empty(all_12_3_12) = all_12_2_11
% 123.95/69.74 | (91) set_intersection2(all_12_5_14, all_12_4_13) = all_12_1_10
% 123.95/69.74 | (92) element(all_12_4_13, all_12_3_12) = 0
% 123.95/69.74 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (17) with all_12_5_14, all_12_3_12, 0, all_12_0_9 and discharging atoms element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.74 | (94) all_12_0_9 = 0 | ~ (element(all_12_5_14, all_12_3_12) = all_12_0_9)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (19) with all_2_0_0, 0, all_12_2_11 and discharging atoms empty(all_2_0_0) = 0, yields:
% 123.95/69.74 | (95) all_12_2_11 = 0 | ~ (empty(all_2_0_0) = all_12_2_11)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (78) with empty_set, all_2_0_0 and discharging atoms empty(all_2_0_0) = 0, empty(empty_set) = 0, yields:
% 123.95/69.74 | (96) all_2_0_0 = empty_set
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (67) with all_12_1_10, all_12_5_14, all_12_4_13 and discharging atoms set_intersection2(all_12_5_14, all_12_4_13) = all_12_1_10, yields:
% 123.95/69.74 | (97) set_intersection2(all_12_4_13, all_12_5_14) = all_12_1_10
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (10) with all_12_1_10, all_12_4_13, all_12_5_14 and discharging atoms set_intersection2(all_12_5_14, all_12_4_13) = all_12_1_10, yields:
% 123.95/69.74 | (98) ? [v0] : (set_difference(all_12_5_14, v0) = all_12_1_10 & set_difference(all_12_5_14, all_12_4_13) = v0)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (50) with all_12_0_9, all_12_3_12, all_12_1_10 and discharging atoms element(all_12_1_10, all_12_3_12) = all_12_0_9, yields:
% 123.95/69.74 | (99) all_12_0_9 = 0 | ? [v0] : ( ~ (v0 = 0) & in(all_12_1_10, all_12_3_12) = v0)
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (14) with all_12_4_13, all_12_4_13, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.74 | (100) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.74 |
% 123.95/69.74 | Instantiating formula (65) with all_12_4_13, all_12_4_13, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.74 | (101) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (3) with all_12_3_12, all_12_4_13 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.75 | (102) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_12_4_13, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (14) with all_12_5_14, all_12_4_13, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (103) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (14) with all_12_4_13, all_12_5_14, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (104) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (65) with all_12_5_14, all_12_4_13, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (105) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (65) with all_12_4_13, all_12_5_14, all_12_3_12 and discharging atoms element(all_12_4_13, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (14) with all_12_5_14, all_12_5_14, all_12_3_12 and discharging atoms element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (65) with all_12_5_14, all_12_5_14, all_12_3_12 and discharging atoms element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (108) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (3) with all_12_3_12, all_12_5_14 and discharging atoms element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.75 | (109) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_12_5_14, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (14) with all_10_0_7, all_10_0_7, all_10_1_8 and discharging atoms element(all_10_0_7, all_10_1_8) = 0, yields:
% 123.95/69.75 | (110) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_10_0_7, all_10_0_7) = v3 & prebool_difference(all_10_1_8, all_10_0_7, all_10_0_7) = v2 & preboolean(all_10_1_8) = v1 & empty(all_10_1_8) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (81) with all_12_2_11, all_12_3_12 and discharging atoms empty(all_12_3_12) = all_12_2_11, yields:
% 123.95/69.75 | (111) all_12_2_11 = 0 | ? [v0] : (powerset(all_12_3_12) = v0 & ? [v1] : ? [v2] : ( ~ (v2 = 0) & element(v1, v0) = 0 & finite(v1) = 0 & empty(v1) = v2))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating formula (28) with all_12_2_11, all_12_3_12 and discharging atoms empty(all_12_3_12) = all_12_2_11, yields:
% 123.95/69.75 | (112) all_12_2_11 = 0 | ? [v0] : (powerset(all_12_3_12) = v0 & ? [v1] : ? [v2] : ( ~ (v2 = 0) & element(v1, v0) = 0 & empty(v1) = v2))
% 123.95/69.75 |
% 123.95/69.75 | Instantiating (109) with all_24_0_15, all_24_1_16 yields:
% 123.95/69.75 | (113) empty(all_12_3_12) = all_24_1_16 & in(all_12_5_14, all_12_3_12) = all_24_0_15 & (all_24_0_15 = 0 | all_24_1_16 = 0)
% 123.95/69.75 |
% 123.95/69.75 | Applying alpha-rule on (113) yields:
% 123.95/69.75 | (114) empty(all_12_3_12) = all_24_1_16
% 123.95/69.75 | (115) in(all_12_5_14, all_12_3_12) = all_24_0_15
% 123.95/69.75 | (116) all_24_0_15 = 0 | all_24_1_16 = 0
% 123.95/69.75 |
% 123.95/69.75 | Instantiating (106) with all_26_0_17, all_26_1_18, all_26_2_19, all_26_3_20 yields:
% 123.95/69.75 | (117) prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_26_1_18 & element(all_26_1_18, all_12_3_12) = all_26_0_17 & preboolean(all_12_3_12) = all_26_2_19 & empty(all_12_3_12) = all_26_3_20 & ( ~ (all_26_2_19 = 0) | all_26_0_17 = 0 | all_26_3_20 = 0)
% 123.95/69.75 |
% 123.95/69.75 | Applying alpha-rule on (117) yields:
% 123.95/69.75 | (118) preboolean(all_12_3_12) = all_26_2_19
% 123.95/69.75 | (119) ~ (all_26_2_19 = 0) | all_26_0_17 = 0 | all_26_3_20 = 0
% 123.95/69.75 | (120) element(all_26_1_18, all_12_3_12) = all_26_0_17
% 123.95/69.75 | (121) empty(all_12_3_12) = all_26_3_20
% 123.95/69.75 | (122) prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_26_1_18
% 123.95/69.75 |
% 123.95/69.75 | Instantiating (105) with all_28_0_21, all_28_1_22, all_28_2_23, all_28_3_24 yields:
% 123.95/69.76 | (123) prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_28_1_22 & element(all_28_1_22, all_12_3_12) = all_28_0_21 & preboolean(all_12_3_12) = all_28_2_23 & empty(all_12_3_12) = all_28_3_24 & ( ~ (all_28_2_23 = 0) | all_28_0_21 = 0 | all_28_3_24 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (123) yields:
% 123.95/69.76 | (124) ~ (all_28_2_23 = 0) | all_28_0_21 = 0 | all_28_3_24 = 0
% 123.95/69.76 | (125) element(all_28_1_22, all_12_3_12) = all_28_0_21
% 123.95/69.76 | (126) preboolean(all_12_3_12) = all_28_2_23
% 123.95/69.76 | (127) prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_28_1_22
% 123.95/69.76 | (128) empty(all_12_3_12) = all_28_3_24
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (104) with all_30_0_25, all_30_1_26, all_30_2_27, all_30_3_28 yields:
% 123.95/69.76 | (129) set_difference(all_12_5_14, all_12_4_13) = all_30_0_25 & prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_30_1_26 & preboolean(all_12_3_12) = all_30_2_27 & empty(all_12_3_12) = all_30_3_28 & ( ~ (all_30_2_27 = 0) | all_30_0_25 = all_30_1_26 | all_30_3_28 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (129) yields:
% 123.95/69.76 | (130) prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_30_1_26
% 123.95/69.76 | (131) set_difference(all_12_5_14, all_12_4_13) = all_30_0_25
% 123.95/69.76 | (132) empty(all_12_3_12) = all_30_3_28
% 123.95/69.76 | (133) ~ (all_30_2_27 = 0) | all_30_0_25 = all_30_1_26 | all_30_3_28 = 0
% 123.95/69.76 | (134) preboolean(all_12_3_12) = all_30_2_27
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (103) with all_32_0_29, all_32_1_30, all_32_2_31, all_32_3_32 yields:
% 123.95/69.76 | (135) set_difference(all_12_4_13, all_12_5_14) = all_32_0_29 & prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_32_1_30 & preboolean(all_12_3_12) = all_32_2_31 & empty(all_12_3_12) = all_32_3_32 & ( ~ (all_32_2_31 = 0) | all_32_0_29 = all_32_1_30 | all_32_3_32 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (135) yields:
% 123.95/69.76 | (136) empty(all_12_3_12) = all_32_3_32
% 123.95/69.76 | (137) preboolean(all_12_3_12) = all_32_2_31
% 123.95/69.76 | (138) set_difference(all_12_4_13, all_12_5_14) = all_32_0_29
% 123.95/69.76 | (139) prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_32_1_30
% 123.95/69.76 | (140) ~ (all_32_2_31 = 0) | all_32_0_29 = all_32_1_30 | all_32_3_32 = 0
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (108) with all_34_0_33, all_34_1_34, all_34_2_35, all_34_3_36 yields:
% 123.95/69.76 | (141) prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = all_34_1_34 & element(all_34_1_34, all_12_3_12) = all_34_0_33 & preboolean(all_12_3_12) = all_34_2_35 & empty(all_12_3_12) = all_34_3_36 & ( ~ (all_34_2_35 = 0) | all_34_0_33 = 0 | all_34_3_36 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (141) yields:
% 123.95/69.76 | (142) preboolean(all_12_3_12) = all_34_2_35
% 123.95/69.76 | (143) element(all_34_1_34, all_12_3_12) = all_34_0_33
% 123.95/69.76 | (144) empty(all_12_3_12) = all_34_3_36
% 123.95/69.76 | (145) ~ (all_34_2_35 = 0) | all_34_0_33 = 0 | all_34_3_36 = 0
% 123.95/69.76 | (146) prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = all_34_1_34
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (107) with all_36_0_37, all_36_1_38, all_36_2_39, all_36_3_40 yields:
% 123.95/69.76 | (147) set_difference(all_12_5_14, all_12_5_14) = all_36_0_37 & prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = all_36_1_38 & preboolean(all_12_3_12) = all_36_2_39 & empty(all_12_3_12) = all_36_3_40 & ( ~ (all_36_2_39 = 0) | all_36_0_37 = all_36_1_38 | all_36_3_40 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (147) yields:
% 123.95/69.76 | (148) set_difference(all_12_5_14, all_12_5_14) = all_36_0_37
% 123.95/69.76 | (149) ~ (all_36_2_39 = 0) | all_36_0_37 = all_36_1_38 | all_36_3_40 = 0
% 123.95/69.76 | (150) prebool_difference(all_12_3_12, all_12_5_14, all_12_5_14) = all_36_1_38
% 123.95/69.76 | (151) preboolean(all_12_3_12) = all_36_2_39
% 123.95/69.76 | (152) empty(all_12_3_12) = all_36_3_40
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (102) with all_41_0_42, all_41_1_43 yields:
% 123.95/69.76 | (153) empty(all_12_3_12) = all_41_1_43 & in(all_12_4_13, all_12_3_12) = all_41_0_42 & (all_41_0_42 = 0 | all_41_1_43 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (153) yields:
% 123.95/69.76 | (154) empty(all_12_3_12) = all_41_1_43
% 123.95/69.76 | (155) in(all_12_4_13, all_12_3_12) = all_41_0_42
% 123.95/69.76 | (156) all_41_0_42 = 0 | all_41_1_43 = 0
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (100) with all_43_0_44, all_43_1_45, all_43_2_46, all_43_3_47 yields:
% 123.95/69.76 | (157) set_difference(all_12_4_13, all_12_4_13) = all_43_0_44 & prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_43_1_45 & preboolean(all_12_3_12) = all_43_2_46 & empty(all_12_3_12) = all_43_3_47 & ( ~ (all_43_2_46 = 0) | all_43_0_44 = all_43_1_45 | all_43_3_47 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (157) yields:
% 123.95/69.76 | (158) empty(all_12_3_12) = all_43_3_47
% 123.95/69.76 | (159) prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_43_1_45
% 123.95/69.76 | (160) ~ (all_43_2_46 = 0) | all_43_0_44 = all_43_1_45 | all_43_3_47 = 0
% 123.95/69.76 | (161) set_difference(all_12_4_13, all_12_4_13) = all_43_0_44
% 123.95/69.76 | (162) preboolean(all_12_3_12) = all_43_2_46
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (101) with all_45_0_48, all_45_1_49, all_45_2_50, all_45_3_51 yields:
% 123.95/69.76 | (163) prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_45_1_49 & element(all_45_1_49, all_12_3_12) = all_45_0_48 & preboolean(all_12_3_12) = all_45_2_50 & empty(all_12_3_12) = all_45_3_51 & ( ~ (all_45_2_50 = 0) | all_45_0_48 = 0 | all_45_3_51 = 0)
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (163) yields:
% 123.95/69.76 | (164) element(all_45_1_49, all_12_3_12) = all_45_0_48
% 123.95/69.76 | (165) empty(all_12_3_12) = all_45_3_51
% 123.95/69.76 | (166) ~ (all_45_2_50 = 0) | all_45_0_48 = 0 | all_45_3_51 = 0
% 123.95/69.76 | (167) prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_45_1_49
% 123.95/69.76 | (168) preboolean(all_12_3_12) = all_45_2_50
% 123.95/69.76 |
% 123.95/69.76 | Instantiating (98) with all_47_0_52 yields:
% 123.95/69.76 | (169) set_difference(all_12_5_14, all_47_0_52) = all_12_1_10 & set_difference(all_12_5_14, all_12_4_13) = all_47_0_52
% 123.95/69.76 |
% 123.95/69.76 | Applying alpha-rule on (169) yields:
% 123.95/69.76 | (170) set_difference(all_12_5_14, all_47_0_52) = all_12_1_10
% 123.95/69.76 | (171) set_difference(all_12_5_14, all_12_4_13) = all_47_0_52
% 123.95/69.77 |
% 123.95/69.77 | Instantiating (110) with all_53_0_57, all_53_1_58, all_53_2_59, all_53_3_60 yields:
% 123.95/69.77 | (172) set_difference(all_10_0_7, all_10_0_7) = all_53_0_57 & prebool_difference(all_10_1_8, all_10_0_7, all_10_0_7) = all_53_1_58 & preboolean(all_10_1_8) = all_53_2_59 & empty(all_10_1_8) = all_53_3_60 & ( ~ (all_53_2_59 = 0) | all_53_0_57 = all_53_1_58 | all_53_3_60 = 0)
% 123.95/69.77 |
% 123.95/69.77 | Applying alpha-rule on (172) yields:
% 123.95/69.77 | (173) set_difference(all_10_0_7, all_10_0_7) = all_53_0_57
% 123.95/69.77 | (174) preboolean(all_10_1_8) = all_53_2_59
% 123.95/69.77 | (175) ~ (all_53_2_59 = 0) | all_53_0_57 = all_53_1_58 | all_53_3_60 = 0
% 123.95/69.77 | (176) prebool_difference(all_10_1_8, all_10_0_7, all_10_0_7) = all_53_1_58
% 123.95/69.77 | (177) empty(all_10_1_8) = all_53_3_60
% 123.95/69.77 |
% 123.95/69.77 +-Applying beta-rule and splitting (111), into two cases.
% 123.95/69.77 |-Branch one:
% 123.95/69.77 | (178) all_12_2_11 = 0
% 123.95/69.77 |
% 123.95/69.77 | Equations (178) can reduce 93 to:
% 123.95/69.77 | (179) $false
% 123.95/69.77 |
% 123.95/69.77 |-The branch is then unsatisfiable
% 123.95/69.77 |-Branch two:
% 123.95/69.77 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.77 | (181) ? [v0] : (powerset(all_12_3_12) = v0 & ? [v1] : ? [v2] : ( ~ (v2 = 0) & element(v1, v0) = 0 & finite(v1) = 0 & empty(v1) = v2))
% 123.95/69.77 |
% 123.95/69.77 | Instantiating (181) with all_98_0_82 yields:
% 123.95/69.77 | (182) powerset(all_12_3_12) = all_98_0_82 & ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & finite(v0) = 0 & empty(v0) = v1)
% 123.95/69.77 |
% 123.95/69.77 | Applying alpha-rule on (182) yields:
% 123.95/69.77 | (183) powerset(all_12_3_12) = all_98_0_82
% 123.95/69.77 | (184) ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & finite(v0) = 0 & empty(v0) = v1)
% 123.95/69.77 |
% 123.95/69.77 +-Applying beta-rule and splitting (112), into two cases.
% 123.95/69.77 |-Branch one:
% 123.95/69.77 | (178) all_12_2_11 = 0
% 123.95/69.77 |
% 123.95/69.77 | Equations (178) can reduce 93 to:
% 123.95/69.77 | (179) $false
% 123.95/69.77 |
% 123.95/69.77 |-The branch is then unsatisfiable
% 123.95/69.77 |-Branch two:
% 123.95/69.77 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.77 | (188) ? [v0] : (powerset(all_12_3_12) = v0 & ? [v1] : ? [v2] : ( ~ (v2 = 0) & element(v1, v0) = 0 & empty(v1) = v2))
% 123.95/69.77 |
% 123.95/69.77 | Instantiating (188) with all_105_0_85 yields:
% 123.95/69.77 | (189) powerset(all_12_3_12) = all_105_0_85 & ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_105_0_85) = 0 & empty(v0) = v1)
% 123.95/69.77 |
% 123.95/69.77 | Applying alpha-rule on (189) yields:
% 123.95/69.77 | (190) powerset(all_12_3_12) = all_105_0_85
% 123.95/69.77 | (191) ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_105_0_85) = 0 & empty(v0) = v1)
% 123.95/69.77 |
% 123.95/69.77 +-Applying beta-rule and splitting (99), into two cases.
% 123.95/69.77 |-Branch one:
% 123.95/69.77 | (192) all_12_0_9 = 0
% 123.95/69.77 |
% 123.95/69.77 | Equations (192) can reduce 89 to:
% 123.95/69.77 | (179) $false
% 123.95/69.77 |
% 123.95/69.77 |-The branch is then unsatisfiable
% 123.95/69.77 |-Branch two:
% 123.95/69.77 | (89) ~ (all_12_0_9 = 0)
% 123.95/69.77 | (195) ? [v0] : ( ~ (v0 = 0) & in(all_12_1_10, all_12_3_12) = v0)
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (48) with all_12_5_14, all_12_4_13, all_30_0_25, all_47_0_52 and discharging atoms set_difference(all_12_5_14, all_12_4_13) = all_47_0_52, set_difference(all_12_5_14, all_12_4_13) = all_30_0_25, yields:
% 123.95/69.77 | (196) all_47_0_52 = all_30_0_25
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (62) with all_12_3_12, all_12_4_13, all_12_4_13, all_43_1_45, all_45_1_49 and discharging atoms prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_45_1_49, prebool_difference(all_12_3_12, all_12_4_13, all_12_4_13) = all_43_1_45, yields:
% 123.95/69.77 | (197) all_45_1_49 = all_43_1_45
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (62) with all_12_3_12, all_12_4_13, all_12_5_14, all_28_1_22, all_32_1_30 and discharging atoms prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_32_1_30, prebool_difference(all_12_3_12, all_12_4_13, all_12_5_14) = all_28_1_22, yields:
% 123.95/69.77 | (198) all_32_1_30 = all_28_1_22
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (62) with all_12_3_12, all_12_5_14, all_12_4_13, all_26_1_18, all_30_1_26 and discharging atoms prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_30_1_26, prebool_difference(all_12_3_12, all_12_5_14, all_12_4_13) = all_26_1_18, yields:
% 123.95/69.77 | (199) all_30_1_26 = all_26_1_18
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (23) with all_12_3_12, all_98_0_82, all_105_0_85 and discharging atoms powerset(all_12_3_12) = all_105_0_85, powerset(all_12_3_12) = all_98_0_82, yields:
% 123.95/69.77 | (200) all_105_0_85 = all_98_0_82
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (17) with all_12_1_10, all_12_3_12, all_34_0_33, all_12_0_9 and discharging atoms element(all_12_1_10, all_12_3_12) = all_12_0_9, yields:
% 123.95/69.77 | (201) all_34_0_33 = all_12_0_9 | ~ (element(all_12_1_10, all_12_3_12) = all_34_0_33)
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (5) with all_12_3_12, all_43_2_46, all_45_2_50 and discharging atoms preboolean(all_12_3_12) = all_45_2_50, preboolean(all_12_3_12) = all_43_2_46, yields:
% 123.95/69.77 | (202) all_45_2_50 = all_43_2_46
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (5) with all_12_3_12, all_36_2_39, all_45_2_50 and discharging atoms preboolean(all_12_3_12) = all_45_2_50, preboolean(all_12_3_12) = all_36_2_39, yields:
% 123.95/69.77 | (203) all_45_2_50 = all_36_2_39
% 123.95/69.77 |
% 123.95/69.77 | Instantiating formula (5) with all_12_3_12, all_34_2_35, 0 and discharging atoms preboolean(all_12_3_12) = all_34_2_35, preboolean(all_12_3_12) = 0, yields:
% 123.95/69.78 | (204) all_34_2_35 = 0
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (5) with all_12_3_12, all_34_2_35, all_36_2_39 and discharging atoms preboolean(all_12_3_12) = all_36_2_39, preboolean(all_12_3_12) = all_34_2_35, yields:
% 123.95/69.78 | (205) all_36_2_39 = all_34_2_35
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (5) with all_12_3_12, all_32_2_31, all_45_2_50 and discharging atoms preboolean(all_12_3_12) = all_45_2_50, preboolean(all_12_3_12) = all_32_2_31, yields:
% 123.95/69.78 | (206) all_45_2_50 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (5) with all_12_3_12, all_30_2_27, all_34_2_35 and discharging atoms preboolean(all_12_3_12) = all_34_2_35, preboolean(all_12_3_12) = all_30_2_27, yields:
% 123.95/69.78 | (207) all_34_2_35 = all_30_2_27
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (5) with all_12_3_12, all_28_2_23, all_34_2_35 and discharging atoms preboolean(all_12_3_12) = all_34_2_35, preboolean(all_12_3_12) = all_28_2_23, yields:
% 123.95/69.78 | (208) all_34_2_35 = all_28_2_23
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (5) with all_12_3_12, all_26_2_19, all_30_2_27 and discharging atoms preboolean(all_12_3_12) = all_30_2_27, preboolean(all_12_3_12) = all_26_2_19, yields:
% 123.95/69.78 | (209) all_30_2_27 = all_26_2_19
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (33) with all_12_3_12 yields:
% 123.95/69.78 | (210) all_12_3_12 = empty_set | ~ (empty(all_12_3_12) = 0)
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_41_1_43, all_45_3_51 and discharging atoms empty(all_12_3_12) = all_45_3_51, empty(all_12_3_12) = all_41_1_43, yields:
% 123.95/69.78 | (211) all_45_3_51 = all_41_1_43
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_36_3_40, all_45_3_51 and discharging atoms empty(all_12_3_12) = all_45_3_51, empty(all_12_3_12) = all_36_3_40, yields:
% 123.95/69.78 | (212) all_45_3_51 = all_36_3_40
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_34_3_36, all_45_3_51 and discharging atoms empty(all_12_3_12) = all_45_3_51, empty(all_12_3_12) = all_34_3_36, yields:
% 123.95/69.78 | (213) all_45_3_51 = all_34_3_36
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_32_3_32, all_12_2_11 and discharging atoms empty(all_12_3_12) = all_32_3_32, empty(all_12_3_12) = all_12_2_11, yields:
% 123.95/69.78 | (214) all_32_3_32 = all_12_2_11
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_30_3_28, all_45_3_51 and discharging atoms empty(all_12_3_12) = all_45_3_51, empty(all_12_3_12) = all_30_3_28, yields:
% 123.95/69.78 | (215) all_45_3_51 = all_30_3_28
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_30_3_28, all_43_3_47 and discharging atoms empty(all_12_3_12) = all_43_3_47, empty(all_12_3_12) = all_30_3_28, yields:
% 123.95/69.78 | (216) all_43_3_47 = all_30_3_28
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_28_3_24, all_43_3_47 and discharging atoms empty(all_12_3_12) = all_43_3_47, empty(all_12_3_12) = all_28_3_24, yields:
% 123.95/69.78 | (217) all_43_3_47 = all_28_3_24
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_26_3_20, all_43_3_47 and discharging atoms empty(all_12_3_12) = all_43_3_47, empty(all_12_3_12) = all_26_3_20, yields:
% 123.95/69.78 | (218) all_43_3_47 = all_26_3_20
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_26_3_20, all_32_3_32 and discharging atoms empty(all_12_3_12) = all_32_3_32, empty(all_12_3_12) = all_26_3_20, yields:
% 123.95/69.78 | (219) all_32_3_32 = all_26_3_20
% 123.95/69.78 |
% 123.95/69.78 | Instantiating formula (19) with all_12_3_12, all_24_1_16, all_36_3_40 and discharging atoms empty(all_12_3_12) = all_36_3_40, empty(all_12_3_12) = all_24_1_16, yields:
% 123.95/69.78 | (220) all_36_3_40 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (203,202) yields a new equation:
% 123.95/69.78 | (221) all_43_2_46 = all_36_2_39
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (206,202) yields a new equation:
% 123.95/69.78 | (222) all_43_2_46 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (213,211) yields a new equation:
% 123.95/69.78 | (223) all_41_1_43 = all_34_3_36
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (212,211) yields a new equation:
% 123.95/69.78 | (224) all_41_1_43 = all_36_3_40
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (215,211) yields a new equation:
% 123.95/69.78 | (225) all_41_1_43 = all_30_3_28
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (221,222) yields a new equation:
% 123.95/69.78 | (226) all_36_2_39 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 226 yields:
% 123.95/69.78 | (227) all_36_2_39 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (216,217) yields a new equation:
% 123.95/69.78 | (228) all_30_3_28 = all_28_3_24
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 228 yields:
% 123.95/69.78 | (229) all_30_3_28 = all_28_3_24
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (218,217) yields a new equation:
% 123.95/69.78 | (230) all_28_3_24 = all_26_3_20
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (225,223) yields a new equation:
% 123.95/69.78 | (231) all_34_3_36 = all_30_3_28
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (224,223) yields a new equation:
% 123.95/69.78 | (232) all_36_3_40 = all_34_3_36
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 232 yields:
% 123.95/69.78 | (233) all_36_3_40 = all_34_3_36
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (205,227) yields a new equation:
% 123.95/69.78 | (234) all_34_2_35 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 234 yields:
% 123.95/69.78 | (235) all_34_2_35 = all_32_2_31
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (233,220) yields a new equation:
% 123.95/69.78 | (236) all_34_3_36 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 236 yields:
% 123.95/69.78 | (237) all_34_3_36 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (208,235) yields a new equation:
% 123.95/69.78 | (238) all_32_2_31 = all_28_2_23
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (204,235) yields a new equation:
% 123.95/69.78 | (239) all_32_2_31 = 0
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (207,235) yields a new equation:
% 123.95/69.78 | (240) all_32_2_31 = all_30_2_27
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (231,237) yields a new equation:
% 123.95/69.78 | (241) all_30_3_28 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 241 yields:
% 123.95/69.78 | (242) all_30_3_28 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (240,238) yields a new equation:
% 123.95/69.78 | (243) all_30_2_27 = all_28_2_23
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 243 yields:
% 123.95/69.78 | (244) all_30_2_27 = all_28_2_23
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (239,238) yields a new equation:
% 123.95/69.78 | (245) all_28_2_23 = 0
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (219,214) yields a new equation:
% 123.95/69.78 | (246) all_26_3_20 = all_12_2_11
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 246 yields:
% 123.95/69.78 | (247) all_26_3_20 = all_12_2_11
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (244,209) yields a new equation:
% 123.95/69.78 | (248) all_28_2_23 = all_26_2_19
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 248 yields:
% 123.95/69.78 | (249) all_28_2_23 = all_26_2_19
% 123.95/69.78 |
% 123.95/69.78 | Combining equations (229,242) yields a new equation:
% 123.95/69.78 | (250) all_28_3_24 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.78 | Simplifying 250 yields:
% 123.95/69.78 | (251) all_28_3_24 = all_24_1_16
% 123.95/69.78 |
% 123.95/69.79 | Combining equations (249,245) yields a new equation:
% 123.95/69.79 | (252) all_26_2_19 = 0
% 123.95/69.79 |
% 123.95/69.79 | Simplifying 252 yields:
% 123.95/69.79 | (253) all_26_2_19 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (230,251) yields a new equation:
% 123.95/69.79 | (254) all_26_3_20 = all_24_1_16
% 123.95/69.79 |
% 123.95/69.79 | Simplifying 254 yields:
% 123.95/69.79 | (255) all_26_3_20 = all_24_1_16
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (247,255) yields a new equation:
% 123.95/69.79 | (256) all_24_1_16 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (256,255) yields a new equation:
% 123.95/69.79 | (247) all_26_3_20 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (256,251) yields a new equation:
% 123.95/69.79 | (258) all_28_3_24 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (256,242) yields a new equation:
% 123.95/69.79 | (259) all_30_3_28 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (253,209) yields a new equation:
% 123.95/69.79 | (260) all_30_2_27 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (245,238) yields a new equation:
% 123.95/69.79 | (239) all_32_2_31 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (256,237) yields a new equation:
% 123.95/69.79 | (262) all_34_3_36 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (239,235) yields a new equation:
% 123.95/69.79 | (204) all_34_2_35 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (256,220) yields a new equation:
% 123.95/69.79 | (264) all_36_3_40 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (239,227) yields a new equation:
% 123.95/69.79 | (265) all_36_2_39 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (262,223) yields a new equation:
% 123.95/69.79 | (266) all_41_1_43 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (258,217) yields a new equation:
% 123.95/69.79 | (267) all_43_3_47 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (239,222) yields a new equation:
% 123.95/69.79 | (268) all_43_2_46 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (266,211) yields a new equation:
% 123.95/69.79 | (269) all_45_3_51 = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (268,202) yields a new equation:
% 123.95/69.79 | (270) all_45_2_50 = 0
% 123.95/69.79 |
% 123.95/69.79 | From (196) and (170) follows:
% 123.95/69.79 | (271) set_difference(all_12_5_14, all_30_0_25) = all_12_1_10
% 123.95/69.79 |
% 123.95/69.79 | From (200) and (190) follows:
% 123.95/69.79 | (183) powerset(all_12_3_12) = all_98_0_82
% 123.95/69.79 |
% 123.95/69.79 | From (197) and (164) follows:
% 123.95/69.79 | (273) element(all_43_1_45, all_12_3_12) = all_45_0_48
% 123.95/69.79 |
% 123.95/69.79 | From (253) and (118) follows:
% 123.95/69.79 | (87) preboolean(all_12_3_12) = 0
% 123.95/69.79 |
% 123.95/69.79 | From (256) and (114) follows:
% 123.95/69.79 | (90) empty(all_12_3_12) = all_12_2_11
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (119), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (276) ~ (all_26_2_19 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (253) can reduce 276 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (253) all_26_2_19 = 0
% 123.95/69.79 | (279) all_26_0_17 = 0 | all_26_3_20 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (279), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (280) all_26_0_17 = 0
% 123.95/69.79 |
% 123.95/69.79 | From (280) and (120) follows:
% 123.95/69.79 | (281) element(all_26_1_18, all_12_3_12) = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (160), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (282) ~ (all_43_2_46 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (268) can reduce 282 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (268) all_43_2_46 = 0
% 123.95/69.79 | (285) all_43_0_44 = all_43_1_45 | all_43_3_47 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (149), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (286) ~ (all_36_2_39 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (265) can reduce 286 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (265) all_36_2_39 = 0
% 123.95/69.79 | (289) all_36_0_37 = all_36_1_38 | all_36_3_40 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (124), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (290) ~ (all_28_2_23 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (245) can reduce 290 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (245) all_28_2_23 = 0
% 123.95/69.79 | (293) all_28_0_21 = 0 | all_28_3_24 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (116), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (294) all_24_0_15 = 0
% 123.95/69.79 |
% 123.95/69.79 | From (294) and (115) follows:
% 123.95/69.79 | (295) in(all_12_5_14, all_12_3_12) = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (293), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (296) all_28_0_21 = 0
% 123.95/69.79 |
% 123.95/69.79 | From (296) and (125) follows:
% 123.95/69.79 | (297) element(all_28_1_22, all_12_3_12) = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (285), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (298) all_43_3_47 = 0
% 123.95/69.79 |
% 123.95/69.79 | Combining equations (298,267) yields a new equation:
% 123.95/69.79 | (178) all_12_2_11 = 0
% 123.95/69.79 |
% 123.95/69.79 | Equations (178) can reduce 93 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (301) ~ (all_43_3_47 = 0)
% 123.95/69.79 | (302) all_43_0_44 = all_43_1_45
% 123.95/69.79 |
% 123.95/69.79 | Equations (267) can reduce 301 to:
% 123.95/69.79 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (133), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (304) ~ (all_30_2_27 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (260) can reduce 304 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (260) all_30_2_27 = 0
% 123.95/69.79 | (307) all_30_0_25 = all_30_1_26 | all_30_3_28 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (140), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (308) ~ (all_32_2_31 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (239) can reduce 308 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (239) all_32_2_31 = 0
% 123.95/69.79 | (311) all_32_0_29 = all_32_1_30 | all_32_3_32 = 0
% 123.95/69.79 |
% 123.95/69.79 +-Applying beta-rule and splitting (166), into two cases.
% 123.95/69.79 |-Branch one:
% 123.95/69.79 | (312) ~ (all_45_2_50 = 0)
% 123.95/69.79 |
% 123.95/69.79 | Equations (270) can reduce 312 to:
% 123.95/69.79 | (179) $false
% 123.95/69.79 |
% 123.95/69.79 |-The branch is then unsatisfiable
% 123.95/69.79 |-Branch two:
% 123.95/69.79 | (270) all_45_2_50 = 0
% 123.95/69.79 | (315) all_45_0_48 = 0 | all_45_3_51 = 0
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (145), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (316) ~ (all_34_2_35 = 0)
% 123.95/69.80 |
% 123.95/69.80 | Equations (204) can reduce 316 to:
% 123.95/69.80 | (179) $false
% 123.95/69.80 |
% 123.95/69.80 |-The branch is then unsatisfiable
% 123.95/69.80 |-Branch two:
% 123.95/69.80 | (204) all_34_2_35 = 0
% 123.95/69.80 | (319) all_34_0_33 = 0 | all_34_3_36 = 0
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (319), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (320) all_34_0_33 = 0
% 123.95/69.80 |
% 123.95/69.80 | From (320) and (143) follows:
% 123.95/69.80 | (321) element(all_34_1_34, all_12_3_12) = 0
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (315), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (322) all_45_0_48 = 0
% 123.95/69.80 |
% 123.95/69.80 | From (322) and (273) follows:
% 123.95/69.80 | (323) element(all_43_1_45, all_12_3_12) = 0
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (307), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (324) all_30_3_28 = 0
% 123.95/69.80 |
% 123.95/69.80 | Combining equations (259,324) yields a new equation:
% 123.95/69.80 | (325) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Simplifying 325 yields:
% 123.95/69.80 | (178) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Equations (178) can reduce 93 to:
% 123.95/69.80 | (179) $false
% 123.95/69.80 |
% 123.95/69.80 |-The branch is then unsatisfiable
% 123.95/69.80 |-Branch two:
% 123.95/69.80 | (328) ~ (all_30_3_28 = 0)
% 123.95/69.80 | (329) all_30_0_25 = all_30_1_26
% 123.95/69.80 |
% 123.95/69.80 | Combining equations (199,329) yields a new equation:
% 123.95/69.80 | (330) all_30_0_25 = all_26_1_18
% 123.95/69.80 |
% 123.95/69.80 | Equations (259) can reduce 328 to:
% 123.95/69.80 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.80 |
% 123.95/69.80 | From (330) and (271) follows:
% 123.95/69.80 | (332) set_difference(all_12_5_14, all_26_1_18) = all_12_1_10
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (289), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (333) all_36_3_40 = 0
% 123.95/69.80 |
% 123.95/69.80 | Combining equations (264,333) yields a new equation:
% 123.95/69.80 | (325) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Simplifying 325 yields:
% 123.95/69.80 | (178) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Equations (178) can reduce 93 to:
% 123.95/69.80 | (179) $false
% 123.95/69.80 |
% 123.95/69.80 |-The branch is then unsatisfiable
% 123.95/69.80 |-Branch two:
% 123.95/69.80 | (337) ~ (all_36_3_40 = 0)
% 123.95/69.80 | (338) all_36_0_37 = all_36_1_38
% 123.95/69.80 |
% 123.95/69.80 | Equations (264) can reduce 337 to:
% 123.95/69.80 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.80 |
% 123.95/69.80 +-Applying beta-rule and splitting (311), into two cases.
% 123.95/69.80 |-Branch one:
% 123.95/69.80 | (340) all_32_3_32 = 0
% 123.95/69.80 |
% 123.95/69.80 | Combining equations (214,340) yields a new equation:
% 123.95/69.80 | (325) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Simplifying 325 yields:
% 123.95/69.80 | (178) all_12_2_11 = 0
% 123.95/69.80 |
% 123.95/69.80 | Equations (178) can reduce 93 to:
% 123.95/69.80 | (179) $false
% 123.95/69.80 |
% 123.95/69.80 |-The branch is then unsatisfiable
% 123.95/69.80 |-Branch two:
% 123.95/69.80 | (344) ~ (all_32_3_32 = 0)
% 123.95/69.80 | (345) all_32_0_29 = all_32_1_30
% 123.95/69.80 |
% 123.95/69.80 | Combining equations (198,345) yields a new equation:
% 123.95/69.80 | (346) all_32_0_29 = all_28_1_22
% 123.95/69.80 |
% 123.95/69.80 | Equations (214) can reduce 344 to:
% 123.95/69.80 | (93) ~ (all_12_2_11 = 0)
% 123.95/69.80 |
% 123.95/69.80 | From (346) and (138) follows:
% 123.95/69.80 | (348) set_difference(all_12_4_13, all_12_5_14) = all_28_1_22
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (70) with all_28_1_22, all_12_5_14, all_12_4_13 and discharging atoms set_difference(all_12_4_13, all_12_5_14) = all_28_1_22, yields:
% 123.95/69.80 | (349) ? [v0] : (set_difference(all_12_4_13, all_28_1_22) = v0 & set_intersection2(all_12_4_13, all_12_5_14) = v0)
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (43) with all_12_1_10, all_26_1_18, all_12_5_14, all_12_3_12 and discharging atoms set_difference(all_12_5_14, all_26_1_18) = all_12_1_10, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.80 | (350) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = v3 & element(all_26_1_18, all_12_3_12) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = all_12_1_10 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (6) with all_12_1_10, all_26_1_18, all_12_5_14, all_12_3_12 and discharging atoms set_difference(all_12_5_14, all_26_1_18) = all_12_1_10, preboolean(all_12_3_12) = 0, yields:
% 123.95/69.80 | (351) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = v3 & element(all_26_1_18, all_12_3_12) = v2 & element(all_12_5_14, all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = all_12_1_10 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (6) with all_53_0_57, all_10_0_7, all_10_0_7, all_12_3_12 and discharging atoms set_difference(all_10_0_7, all_10_0_7) = all_53_0_57, preboolean(all_12_3_12) = 0, yields:
% 123.95/69.80 | (352) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_10_0_7, all_10_0_7) = v3 & element(all_10_0_7, all_12_3_12) = v2 & element(all_10_0_7, all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = all_53_0_57 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (24) with all_98_0_82, all_12_3_12 and discharging atoms powerset(all_12_3_12) = all_98_0_82, yields:
% 123.95/69.80 | (353) empty(all_12_3_12) = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & finite(v0) = 0 & empty(v0) = v1)
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (74) with all_98_0_82, all_12_3_12 and discharging atoms powerset(all_12_3_12) = all_98_0_82, yields:
% 123.95/69.80 | (354) empty(all_12_3_12) = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & empty(v0) = v1)
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (80) with all_12_1_10, all_26_1_18, all_12_5_14, all_12_3_12 and discharging atoms set_difference(all_12_5_14, all_26_1_18) = all_12_1_10, element(all_26_1_18, all_12_3_12) = 0, yields:
% 123.95/69.80 | (355) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = v3 & element(all_12_5_14, all_12_3_12) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = all_12_1_10 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (14) with all_43_1_45, all_12_4_13, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.80 | (356) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (14) with all_12_4_13, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.80 | (357) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (65) with all_43_1_45, all_12_4_13, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.80 | (358) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (65) with all_12_4_13, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.80 | (359) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (14) with all_43_1_45, all_12_5_14, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.80 | (360) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (14) with all_12_5_14, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.80 | (361) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (65) with all_43_1_45, all_12_5_14, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.80 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (65) with all_12_5_14, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.80 | (363) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (14) with all_43_1_45, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, yields:
% 123.95/69.80 | (364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.80 |
% 123.95/69.80 | Instantiating formula (65) with all_43_1_45, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, yields:
% 123.95/69.80 | (365) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (3) with all_12_3_12, all_43_1_45 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, yields:
% 123.95/69.81 | (366) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_43_1_45, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_34_1_34, all_12_4_13, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (367) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_12_4_13, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (368) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_34_1_34, all_12_4_13, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (369) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_12_4_13, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (370) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_34_1_34, all_12_5_14, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (371) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_12_5_14, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (372) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_34_1_34, all_12_5_14, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (373) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_12_5_14, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (374) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_34_1_34, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (375) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_43_1_45, all_34_1_34, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (376) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_34_1_34, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (377) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_43_1_45, all_34_1_34, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (378) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_34_1_34, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (379) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_34_1_34, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (380) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (3) with all_12_3_12, all_34_1_34 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, yields:
% 123.95/69.81 | (381) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_34_1_34, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_28_1_22, all_12_4_13, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (382) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_12_4_13, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (383) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_28_1_22, all_12_4_13, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (384) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_12_4_13, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 123.95/69.81 | (385) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_28_1_22, all_12_5_14, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (386) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_12_5_14, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (387) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_28_1_22, all_12_5_14, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (388) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (65) with all_12_5_14, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 123.95/69.81 | (389) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_28_1_22, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 123.95/69.81 | (390) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.81 |
% 123.95/69.81 | Instantiating formula (14) with all_43_1_45, all_28_1_22, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 123.95/69.81 | (391) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 123.95/69.82 |
% 123.95/69.82 | Instantiating formula (65) with all_28_1_22, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 123.95/69.82 | (392) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.82 |
% 123.95/69.82 | Instantiating formula (65) with all_43_1_45, all_28_1_22, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 123.95/69.82 | (393) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 123.95/69.82 |
% 123.95/69.82 | Instantiating formula (14) with all_28_1_22, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (394) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_34_1_34, all_28_1_22, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (395) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_28_1_22, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (396) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_34_1_34, all_28_1_22, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (397) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_28_1_22, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (398) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_28_1_22, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (399) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (3) with all_12_3_12, all_28_1_22 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, yields:
% 124.33/69.82 | (400) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_28_1_22, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_26_1_18, all_12_4_13, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 124.33/69.82 | (401) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_4_13, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_12_4_13, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 124.33/69.82 | (402) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_12_4_13) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_26_1_18, all_12_4_13, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 124.33/69.82 | (403) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_12_4_13, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_4_13, all_12_3_12) = 0, yields:
% 124.33/69.82 | (404) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_26_1_18, all_12_5_14, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.82 | (405) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_12_5_14, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_12_5_14, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.82 | (406) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_12_5_14) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_26_1_18, all_12_5_14, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.82 | (407) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_12_5_14, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, element(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.82 | (408) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_26_1_18, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (409) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_43_1_45, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_43_1_45, all_26_1_18, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (410) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_43_1_45) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_26_1_18, all_43_1_45, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (411) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_43_1_45, all_26_1_18, all_12_3_12 and discharging atoms element(all_43_1_45, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (412) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_26_1_18, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (413) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_34_1_34, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (14) with all_34_1_34, all_26_1_18, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (414) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_34_1_34) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_26_1_18, all_34_1_34, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (415) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.82 | Instantiating formula (65) with all_34_1_34, all_26_1_18, all_12_3_12 and discharging atoms element(all_34_1_34, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.82 | (416) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.82 |
% 124.33/69.83 | Instantiating formula (14) with all_26_1_18, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (417) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_28_1_22, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (14) with all_28_1_22, all_26_1_18, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (418) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_28_1_22) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (65) with all_26_1_18, all_28_1_22, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (419) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (65) with all_28_1_22, all_26_1_18, all_12_3_12 and discharging atoms element(all_28_1_22, all_12_3_12) = 0, element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (420) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (14) with all_26_1_18, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (421) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (set_difference(all_26_1_18, all_26_1_18) = v3 & prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = v2 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = v2 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (65) with all_26_1_18, all_26_1_18, all_12_3_12 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (422) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = v2 & element(v2, all_12_3_12) = v3 & preboolean(all_12_3_12) = v1 & empty(all_12_3_12) = v0 & ( ~ (v1 = 0) | v3 = 0 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (3) with all_12_3_12, all_26_1_18 and discharging atoms element(all_26_1_18, all_12_3_12) = 0, yields:
% 124.33/69.83 | (423) ? [v0] : ? [v1] : (empty(all_12_3_12) = v0 & in(all_26_1_18, all_12_3_12) = v1 & (v1 = 0 | v0 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (29) with all_98_0_82, all_12_3_12, all_12_3_12, all_12_5_14 and discharging atoms powerset(all_12_3_12) = all_98_0_82, in(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.83 | (424) ? [v0] : ? [v1] : (element(all_12_3_12, all_98_0_82) = v0 & element(all_12_5_14, all_12_3_12) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating formula (69) with all_98_0_82, all_12_3_12, all_12_3_12, all_12_5_14 and discharging atoms powerset(all_12_3_12) = all_98_0_82, in(all_12_5_14, all_12_3_12) = 0, yields:
% 124.33/69.83 | (425) ? [v0] : ? [v1] : (element(all_12_3_12, all_98_0_82) = v0 & empty(all_12_3_12) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (423) with all_208_0_94, all_208_1_95 yields:
% 124.33/69.83 | (426) empty(all_12_3_12) = all_208_1_95 & in(all_26_1_18, all_12_3_12) = all_208_0_94 & (all_208_0_94 = 0 | all_208_1_95 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (426) yields:
% 124.33/69.83 | (427) empty(all_12_3_12) = all_208_1_95
% 124.33/69.83 | (428) in(all_26_1_18, all_12_3_12) = all_208_0_94
% 124.33/69.83 | (429) all_208_0_94 = 0 | all_208_1_95 = 0
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (421) with all_210_0_96, all_210_1_97, all_210_2_98, all_210_3_99 yields:
% 124.33/69.83 | (430) set_difference(all_26_1_18, all_26_1_18) = all_210_0_96 & prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = all_210_1_97 & preboolean(all_12_3_12) = all_210_2_98 & empty(all_12_3_12) = all_210_3_99 & ( ~ (all_210_2_98 = 0) | all_210_0_96 = all_210_1_97 | all_210_3_99 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (430) yields:
% 124.33/69.83 | (431) ~ (all_210_2_98 = 0) | all_210_0_96 = all_210_1_97 | all_210_3_99 = 0
% 124.33/69.83 | (432) preboolean(all_12_3_12) = all_210_2_98
% 124.33/69.83 | (433) set_difference(all_26_1_18, all_26_1_18) = all_210_0_96
% 124.33/69.83 | (434) prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = all_210_1_97
% 124.33/69.83 | (435) empty(all_12_3_12) = all_210_3_99
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (420) with all_212_0_100, all_212_1_101, all_212_2_102, all_212_3_103 yields:
% 124.33/69.83 | (436) prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = all_212_1_101 & element(all_212_1_101, all_12_3_12) = all_212_0_100 & preboolean(all_12_3_12) = all_212_2_102 & empty(all_12_3_12) = all_212_3_103 & ( ~ (all_212_2_102 = 0) | all_212_0_100 = 0 | all_212_3_103 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (436) yields:
% 124.33/69.83 | (437) prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = all_212_1_101
% 124.33/69.83 | (438) empty(all_12_3_12) = all_212_3_103
% 124.33/69.83 | (439) preboolean(all_12_3_12) = all_212_2_102
% 124.33/69.83 | (440) ~ (all_212_2_102 = 0) | all_212_0_100 = 0 | all_212_3_103 = 0
% 124.33/69.83 | (441) element(all_212_1_101, all_12_3_12) = all_212_0_100
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (408) with all_214_0_104, all_214_1_105, all_214_2_106, all_214_3_107 yields:
% 124.33/69.83 | (442) prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = all_214_1_105 & element(all_214_1_105, all_12_3_12) = all_214_0_104 & preboolean(all_12_3_12) = all_214_2_106 & empty(all_12_3_12) = all_214_3_107 & ( ~ (all_214_2_106 = 0) | all_214_0_104 = 0 | all_214_3_107 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (442) yields:
% 124.33/69.83 | (443) ~ (all_214_2_106 = 0) | all_214_0_104 = 0 | all_214_3_107 = 0
% 124.33/69.83 | (444) prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = all_214_1_105
% 124.33/69.83 | (445) element(all_214_1_105, all_12_3_12) = all_214_0_104
% 124.33/69.83 | (446) empty(all_12_3_12) = all_214_3_107
% 124.33/69.83 | (447) preboolean(all_12_3_12) = all_214_2_106
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (407) with all_216_0_108, all_216_1_109, all_216_2_110, all_216_3_111 yields:
% 124.33/69.83 | (448) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_216_1_109 & element(all_216_1_109, all_12_3_12) = all_216_0_108 & preboolean(all_12_3_12) = all_216_2_110 & empty(all_12_3_12) = all_216_3_111 & ( ~ (all_216_2_110 = 0) | all_216_0_108 = 0 | all_216_3_111 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (448) yields:
% 124.33/69.83 | (449) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_216_1_109
% 124.33/69.83 | (450) ~ (all_216_2_110 = 0) | all_216_0_108 = 0 | all_216_3_111 = 0
% 124.33/69.83 | (451) preboolean(all_12_3_12) = all_216_2_110
% 124.33/69.83 | (452) element(all_216_1_109, all_12_3_12) = all_216_0_108
% 124.33/69.83 | (453) empty(all_12_3_12) = all_216_3_111
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (406) with all_218_0_112, all_218_1_113, all_218_2_114, all_218_3_115 yields:
% 124.33/69.83 | (454) set_difference(all_26_1_18, all_12_5_14) = all_218_0_112 & prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = all_218_1_113 & preboolean(all_12_3_12) = all_218_2_114 & empty(all_12_3_12) = all_218_3_115 & ( ~ (all_218_2_114 = 0) | all_218_0_112 = all_218_1_113 | all_218_3_115 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (454) yields:
% 124.33/69.83 | (455) ~ (all_218_2_114 = 0) | all_218_0_112 = all_218_1_113 | all_218_3_115 = 0
% 124.33/69.83 | (456) empty(all_12_3_12) = all_218_3_115
% 124.33/69.83 | (457) set_difference(all_26_1_18, all_12_5_14) = all_218_0_112
% 124.33/69.83 | (458) preboolean(all_12_3_12) = all_218_2_114
% 124.33/69.83 | (459) prebool_difference(all_12_3_12, all_26_1_18, all_12_5_14) = all_218_1_113
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (400) with all_220_0_116, all_220_1_117 yields:
% 124.33/69.83 | (460) empty(all_12_3_12) = all_220_1_117 & in(all_28_1_22, all_12_3_12) = all_220_0_116 & (all_220_0_116 = 0 | all_220_1_117 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (460) yields:
% 124.33/69.83 | (461) empty(all_12_3_12) = all_220_1_117
% 124.33/69.83 | (462) in(all_28_1_22, all_12_3_12) = all_220_0_116
% 124.33/69.83 | (463) all_220_0_116 = 0 | all_220_1_117 = 0
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (399) with all_222_0_118, all_222_1_119, all_222_2_120, all_222_3_121 yields:
% 124.33/69.83 | (464) prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = all_222_1_119 & element(all_222_1_119, all_12_3_12) = all_222_0_118 & preboolean(all_12_3_12) = all_222_2_120 & empty(all_12_3_12) = all_222_3_121 & ( ~ (all_222_2_120 = 0) | all_222_0_118 = 0 | all_222_3_121 = 0)
% 124.33/69.83 |
% 124.33/69.83 | Applying alpha-rule on (464) yields:
% 124.33/69.83 | (465) empty(all_12_3_12) = all_222_3_121
% 124.33/69.83 | (466) element(all_222_1_119, all_12_3_12) = all_222_0_118
% 124.33/69.83 | (467) prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = all_222_1_119
% 124.33/69.83 | (468) ~ (all_222_2_120 = 0) | all_222_0_118 = 0 | all_222_3_121 = 0
% 124.33/69.83 | (469) preboolean(all_12_3_12) = all_222_2_120
% 124.33/69.83 |
% 124.33/69.83 | Instantiating (397) with all_224_0_122, all_224_1_123, all_224_2_124, all_224_3_125 yields:
% 124.33/69.84 | (470) prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = all_224_1_123 & element(all_224_1_123, all_12_3_12) = all_224_0_122 & preboolean(all_12_3_12) = all_224_2_124 & empty(all_12_3_12) = all_224_3_125 & ( ~ (all_224_2_124 = 0) | all_224_0_122 = 0 | all_224_3_125 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (470) yields:
% 124.33/69.84 | (471) prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = all_224_1_123
% 124.33/69.84 | (472) preboolean(all_12_3_12) = all_224_2_124
% 124.33/69.84 | (473) ~ (all_224_2_124 = 0) | all_224_0_122 = 0 | all_224_3_125 = 0
% 124.33/69.84 | (474) element(all_224_1_123, all_12_3_12) = all_224_0_122
% 124.33/69.84 | (475) empty(all_12_3_12) = all_224_3_125
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (398) with all_226_0_126, all_226_1_127, all_226_2_128, all_226_3_129 yields:
% 124.33/69.84 | (476) set_difference(all_28_1_22, all_28_1_22) = all_226_0_126 & prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = all_226_1_127 & preboolean(all_12_3_12) = all_226_2_128 & empty(all_12_3_12) = all_226_3_129 & ( ~ (all_226_2_128 = 0) | all_226_0_126 = all_226_1_127 | all_226_3_129 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (476) yields:
% 124.33/69.84 | (477) empty(all_12_3_12) = all_226_3_129
% 124.33/69.84 | (478) preboolean(all_12_3_12) = all_226_2_128
% 124.33/69.84 | (479) set_difference(all_28_1_22, all_28_1_22) = all_226_0_126
% 124.33/69.84 | (480) ~ (all_226_2_128 = 0) | all_226_0_126 = all_226_1_127 | all_226_3_129 = 0
% 124.33/69.84 | (481) prebool_difference(all_12_3_12, all_28_1_22, all_28_1_22) = all_226_1_127
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (395) with all_228_0_130, all_228_1_131, all_228_2_132, all_228_3_133 yields:
% 124.33/69.84 | (482) set_difference(all_28_1_22, all_34_1_34) = all_228_0_130 & prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = all_228_1_131 & preboolean(all_12_3_12) = all_228_2_132 & empty(all_12_3_12) = all_228_3_133 & ( ~ (all_228_2_132 = 0) | all_228_0_130 = all_228_1_131 | all_228_3_133 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (482) yields:
% 124.33/69.84 | (483) ~ (all_228_2_132 = 0) | all_228_0_130 = all_228_1_131 | all_228_3_133 = 0
% 124.33/69.84 | (484) prebool_difference(all_12_3_12, all_28_1_22, all_34_1_34) = all_228_1_131
% 124.33/69.84 | (485) preboolean(all_12_3_12) = all_228_2_132
% 124.33/69.84 | (486) set_difference(all_28_1_22, all_34_1_34) = all_228_0_130
% 124.33/69.84 | (487) empty(all_12_3_12) = all_228_3_133
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (394) with all_230_0_134, all_230_1_135, all_230_2_136, all_230_3_137 yields:
% 124.33/69.84 | (488) set_difference(all_34_1_34, all_28_1_22) = all_230_0_134 & prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = all_230_1_135 & preboolean(all_12_3_12) = all_230_2_136 & empty(all_12_3_12) = all_230_3_137 & ( ~ (all_230_2_136 = 0) | all_230_0_134 = all_230_1_135 | all_230_3_137 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (488) yields:
% 124.33/69.84 | (489) set_difference(all_34_1_34, all_28_1_22) = all_230_0_134
% 124.33/69.84 | (490) preboolean(all_12_3_12) = all_230_2_136
% 124.33/69.84 | (491) prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = all_230_1_135
% 124.33/69.84 | (492) empty(all_12_3_12) = all_230_3_137
% 124.33/69.84 | (493) ~ (all_230_2_136 = 0) | all_230_0_134 = all_230_1_135 | all_230_3_137 = 0
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (391) with all_232_0_138, all_232_1_139, all_232_2_140, all_232_3_141 yields:
% 124.33/69.84 | (494) set_difference(all_28_1_22, all_43_1_45) = all_232_0_138 & prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = all_232_1_139 & preboolean(all_12_3_12) = all_232_2_140 & empty(all_12_3_12) = all_232_3_141 & ( ~ (all_232_2_140 = 0) | all_232_0_138 = all_232_1_139 | all_232_3_141 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (494) yields:
% 124.33/69.84 | (495) prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = all_232_1_139
% 124.33/69.84 | (496) empty(all_12_3_12) = all_232_3_141
% 124.33/69.84 | (497) ~ (all_232_2_140 = 0) | all_232_0_138 = all_232_1_139 | all_232_3_141 = 0
% 124.33/69.84 | (498) set_difference(all_28_1_22, all_43_1_45) = all_232_0_138
% 124.33/69.84 | (499) preboolean(all_12_3_12) = all_232_2_140
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (393) with all_234_0_142, all_234_1_143, all_234_2_144, all_234_3_145 yields:
% 124.33/69.84 | (500) prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = all_234_1_143 & element(all_234_1_143, all_12_3_12) = all_234_0_142 & preboolean(all_12_3_12) = all_234_2_144 & empty(all_12_3_12) = all_234_3_145 & ( ~ (all_234_2_144 = 0) | all_234_0_142 = 0 | all_234_3_145 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (500) yields:
% 124.33/69.84 | (501) ~ (all_234_2_144 = 0) | all_234_0_142 = 0 | all_234_3_145 = 0
% 124.33/69.84 | (502) prebool_difference(all_12_3_12, all_28_1_22, all_43_1_45) = all_234_1_143
% 124.33/69.84 | (503) empty(all_12_3_12) = all_234_3_145
% 124.33/69.84 | (504) preboolean(all_12_3_12) = all_234_2_144
% 124.33/69.84 | (505) element(all_234_1_143, all_12_3_12) = all_234_0_142
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (392) with all_236_0_146, all_236_1_147, all_236_2_148, all_236_3_149 yields:
% 124.33/69.84 | (506) prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = all_236_1_147 & element(all_236_1_147, all_12_3_12) = all_236_0_146 & preboolean(all_12_3_12) = all_236_2_148 & empty(all_12_3_12) = all_236_3_149 & ( ~ (all_236_2_148 = 0) | all_236_0_146 = 0 | all_236_3_149 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (506) yields:
% 124.33/69.84 | (507) preboolean(all_12_3_12) = all_236_2_148
% 124.33/69.84 | (508) prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = all_236_1_147
% 124.33/69.84 | (509) element(all_236_1_147, all_12_3_12) = all_236_0_146
% 124.33/69.84 | (510) empty(all_12_3_12) = all_236_3_149
% 124.33/69.84 | (511) ~ (all_236_2_148 = 0) | all_236_0_146 = 0 | all_236_3_149 = 0
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (396) with all_238_0_150, all_238_1_151, all_238_2_152, all_238_3_153 yields:
% 124.33/69.84 | (512) prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = all_238_1_151 & element(all_238_1_151, all_12_3_12) = all_238_0_150 & preboolean(all_12_3_12) = all_238_2_152 & empty(all_12_3_12) = all_238_3_153 & ( ~ (all_238_2_152 = 0) | all_238_0_150 = 0 | all_238_3_153 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (512) yields:
% 124.33/69.84 | (513) prebool_difference(all_12_3_12, all_34_1_34, all_28_1_22) = all_238_1_151
% 124.33/69.84 | (514) ~ (all_238_2_152 = 0) | all_238_0_150 = 0 | all_238_3_153 = 0
% 124.33/69.84 | (515) element(all_238_1_151, all_12_3_12) = all_238_0_150
% 124.33/69.84 | (516) empty(all_12_3_12) = all_238_3_153
% 124.33/69.84 | (517) preboolean(all_12_3_12) = all_238_2_152
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (389) with all_240_0_154, all_240_1_155, all_240_2_156, all_240_3_157 yields:
% 124.33/69.84 | (518) prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = all_240_1_155 & element(all_240_1_155, all_12_3_12) = all_240_0_154 & preboolean(all_12_3_12) = all_240_2_156 & empty(all_12_3_12) = all_240_3_157 & ( ~ (all_240_2_156 = 0) | all_240_0_154 = 0 | all_240_3_157 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (518) yields:
% 124.33/69.84 | (519) prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = all_240_1_155
% 124.33/69.84 | (520) ~ (all_240_2_156 = 0) | all_240_0_154 = 0 | all_240_3_157 = 0
% 124.33/69.84 | (521) element(all_240_1_155, all_12_3_12) = all_240_0_154
% 124.33/69.84 | (522) empty(all_12_3_12) = all_240_3_157
% 124.33/69.84 | (523) preboolean(all_12_3_12) = all_240_2_156
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (383) with all_242_0_158, all_242_1_159, all_242_2_160, all_242_3_161 yields:
% 124.33/69.84 | (524) set_difference(all_28_1_22, all_12_4_13) = all_242_0_158 & prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = all_242_1_159 & preboolean(all_12_3_12) = all_242_2_160 & empty(all_12_3_12) = all_242_3_161 & ( ~ (all_242_2_160 = 0) | all_242_0_158 = all_242_1_159 | all_242_3_161 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (524) yields:
% 124.33/69.84 | (525) prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = all_242_1_159
% 124.33/69.84 | (526) preboolean(all_12_3_12) = all_242_2_160
% 124.33/69.84 | (527) set_difference(all_28_1_22, all_12_4_13) = all_242_0_158
% 124.33/69.84 | (528) ~ (all_242_2_160 = 0) | all_242_0_158 = all_242_1_159 | all_242_3_161 = 0
% 124.33/69.84 | (529) empty(all_12_3_12) = all_242_3_161
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (390) with all_244_0_162, all_244_1_163, all_244_2_164, all_244_3_165 yields:
% 124.33/69.84 | (530) set_difference(all_43_1_45, all_28_1_22) = all_244_0_162 & prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = all_244_1_163 & preboolean(all_12_3_12) = all_244_2_164 & empty(all_12_3_12) = all_244_3_165 & ( ~ (all_244_2_164 = 0) | all_244_0_162 = all_244_1_163 | all_244_3_165 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (530) yields:
% 124.33/69.84 | (531) prebool_difference(all_12_3_12, all_43_1_45, all_28_1_22) = all_244_1_163
% 124.33/69.84 | (532) set_difference(all_43_1_45, all_28_1_22) = all_244_0_162
% 124.33/69.84 | (533) preboolean(all_12_3_12) = all_244_2_164
% 124.33/69.84 | (534) empty(all_12_3_12) = all_244_3_165
% 124.33/69.84 | (535) ~ (all_244_2_164 = 0) | all_244_0_162 = all_244_1_163 | all_244_3_165 = 0
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (405) with all_246_0_166, all_246_1_167, all_246_2_168, all_246_3_169 yields:
% 124.33/69.84 | (536) set_difference(all_12_5_14, all_26_1_18) = all_246_0_166 & prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_246_1_167 & preboolean(all_12_3_12) = all_246_2_168 & empty(all_12_3_12) = all_246_3_169 & ( ~ (all_246_2_168 = 0) | all_246_0_166 = all_246_1_167 | all_246_3_169 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (536) yields:
% 124.33/69.84 | (537) preboolean(all_12_3_12) = all_246_2_168
% 124.33/69.84 | (538) set_difference(all_12_5_14, all_26_1_18) = all_246_0_166
% 124.33/69.84 | (539) empty(all_12_3_12) = all_246_3_169
% 124.33/69.84 | (540) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_246_1_167
% 124.33/69.84 | (541) ~ (all_246_2_168 = 0) | all_246_0_166 = all_246_1_167 | all_246_3_169 = 0
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (404) with all_248_0_170, all_248_1_171, all_248_2_172, all_248_3_173 yields:
% 124.33/69.84 | (542) prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = all_248_1_171 & element(all_248_1_171, all_12_3_12) = all_248_0_170 & preboolean(all_12_3_12) = all_248_2_172 & empty(all_12_3_12) = all_248_3_173 & ( ~ (all_248_2_172 = 0) | all_248_0_170 = 0 | all_248_3_173 = 0)
% 124.33/69.84 |
% 124.33/69.84 | Applying alpha-rule on (542) yields:
% 124.33/69.84 | (543) empty(all_12_3_12) = all_248_3_173
% 124.33/69.84 | (544) prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = all_248_1_171
% 124.33/69.84 | (545) ~ (all_248_2_172 = 0) | all_248_0_170 = 0 | all_248_3_173 = 0
% 124.33/69.84 | (546) preboolean(all_12_3_12) = all_248_2_172
% 124.33/69.84 | (547) element(all_248_1_171, all_12_3_12) = all_248_0_170
% 124.33/69.84 |
% 124.33/69.84 | Instantiating (401) with all_250_0_174, all_250_1_175, all_250_2_176, all_250_3_177 yields:
% 124.33/69.84 | (548) set_difference(all_12_4_13, all_26_1_18) = all_250_0_174 & prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = all_250_1_175 & preboolean(all_12_3_12) = all_250_2_176 & empty(all_12_3_12) = all_250_3_177 & ( ~ (all_250_2_176 = 0) | all_250_0_174 = all_250_1_175 | all_250_3_177 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (548) yields:
% 124.33/69.85 | (549) empty(all_12_3_12) = all_250_3_177
% 124.33/69.85 | (550) set_difference(all_12_4_13, all_26_1_18) = all_250_0_174
% 124.33/69.85 | (551) preboolean(all_12_3_12) = all_250_2_176
% 124.33/69.85 | (552) prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = all_250_1_175
% 124.33/69.85 | (553) ~ (all_250_2_176 = 0) | all_250_0_174 = all_250_1_175 | all_250_3_177 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (403) with all_252_0_178, all_252_1_179, all_252_2_180, all_252_3_181 yields:
% 124.33/69.85 | (554) prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = all_252_1_179 & element(all_252_1_179, all_12_3_12) = all_252_0_178 & preboolean(all_12_3_12) = all_252_2_180 & empty(all_12_3_12) = all_252_3_181 & ( ~ (all_252_2_180 = 0) | all_252_0_178 = 0 | all_252_3_181 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (554) yields:
% 124.33/69.85 | (555) empty(all_12_3_12) = all_252_3_181
% 124.33/69.85 | (556) preboolean(all_12_3_12) = all_252_2_180
% 124.33/69.85 | (557) element(all_252_1_179, all_12_3_12) = all_252_0_178
% 124.33/69.85 | (558) prebool_difference(all_12_3_12, all_12_4_13, all_26_1_18) = all_252_1_179
% 124.33/69.85 | (559) ~ (all_252_2_180 = 0) | all_252_0_178 = 0 | all_252_3_181 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (402) with all_254_0_182, all_254_1_183, all_254_2_184, all_254_3_185 yields:
% 124.33/69.85 | (560) set_difference(all_26_1_18, all_12_4_13) = all_254_0_182 & prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = all_254_1_183 & preboolean(all_12_3_12) = all_254_2_184 & empty(all_12_3_12) = all_254_3_185 & ( ~ (all_254_2_184 = 0) | all_254_0_182 = all_254_1_183 | all_254_3_185 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (560) yields:
% 124.33/69.85 | (561) prebool_difference(all_12_3_12, all_26_1_18, all_12_4_13) = all_254_1_183
% 124.33/69.85 | (562) empty(all_12_3_12) = all_254_3_185
% 124.33/69.85 | (563) set_difference(all_26_1_18, all_12_4_13) = all_254_0_182
% 124.33/69.85 | (564) preboolean(all_12_3_12) = all_254_2_184
% 124.33/69.85 | (565) ~ (all_254_2_184 = 0) | all_254_0_182 = all_254_1_183 | all_254_3_185 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (382) with all_256_0_186, all_256_1_187, all_256_2_188, all_256_3_189 yields:
% 124.33/69.85 | (566) set_difference(all_12_4_13, all_28_1_22) = all_256_0_186 & prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_256_1_187 & preboolean(all_12_3_12) = all_256_2_188 & empty(all_12_3_12) = all_256_3_189 & ( ~ (all_256_2_188 = 0) | all_256_0_186 = all_256_1_187 | all_256_3_189 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (566) yields:
% 124.33/69.85 | (567) empty(all_12_3_12) = all_256_3_189
% 124.33/69.85 | (568) prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_256_1_187
% 124.33/69.85 | (569) ~ (all_256_2_188 = 0) | all_256_0_186 = all_256_1_187 | all_256_3_189 = 0
% 124.33/69.85 | (570) preboolean(all_12_3_12) = all_256_2_188
% 124.33/69.85 | (571) set_difference(all_12_4_13, all_28_1_22) = all_256_0_186
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (381) with all_258_0_190, all_258_1_191 yields:
% 124.33/69.85 | (572) empty(all_12_3_12) = all_258_1_191 & in(all_34_1_34, all_12_3_12) = all_258_0_190 & (all_258_0_190 = 0 | all_258_1_191 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (572) yields:
% 124.33/69.85 | (573) empty(all_12_3_12) = all_258_1_191
% 124.33/69.85 | (574) in(all_34_1_34, all_12_3_12) = all_258_0_190
% 124.33/69.85 | (575) all_258_0_190 = 0 | all_258_1_191 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (388) with all_260_0_192, all_260_1_193, all_260_2_194, all_260_3_195 yields:
% 124.33/69.85 | (576) prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = all_260_1_193 & element(all_260_1_193, all_12_3_12) = all_260_0_192 & preboolean(all_12_3_12) = all_260_2_194 & empty(all_12_3_12) = all_260_3_195 & ( ~ (all_260_2_194 = 0) | all_260_0_192 = 0 | all_260_3_195 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (576) yields:
% 124.33/69.85 | (577) ~ (all_260_2_194 = 0) | all_260_0_192 = 0 | all_260_3_195 = 0
% 124.33/69.85 | (578) element(all_260_1_193, all_12_3_12) = all_260_0_192
% 124.33/69.85 | (579) empty(all_12_3_12) = all_260_3_195
% 124.33/69.85 | (580) preboolean(all_12_3_12) = all_260_2_194
% 124.33/69.85 | (581) prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = all_260_1_193
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (387) with all_262_0_196, all_262_1_197, all_262_2_198, all_262_3_199 yields:
% 124.33/69.85 | (582) set_difference(all_28_1_22, all_12_5_14) = all_262_0_196 & prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = all_262_1_197 & preboolean(all_12_3_12) = all_262_2_198 & empty(all_12_3_12) = all_262_3_199 & ( ~ (all_262_2_198 = 0) | all_262_0_196 = all_262_1_197 | all_262_3_199 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (582) yields:
% 124.33/69.85 | (583) empty(all_12_3_12) = all_262_3_199
% 124.33/69.85 | (584) preboolean(all_12_3_12) = all_262_2_198
% 124.33/69.85 | (585) set_difference(all_28_1_22, all_12_5_14) = all_262_0_196
% 124.33/69.85 | (586) ~ (all_262_2_198 = 0) | all_262_0_196 = all_262_1_197 | all_262_3_199 = 0
% 124.33/69.85 | (587) prebool_difference(all_12_3_12, all_28_1_22, all_12_5_14) = all_262_1_197
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (386) with all_264_0_200, all_264_1_201, all_264_2_202, all_264_3_203 yields:
% 124.33/69.85 | (588) set_difference(all_12_5_14, all_28_1_22) = all_264_0_200 & prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = all_264_1_201 & preboolean(all_12_3_12) = all_264_2_202 & empty(all_12_3_12) = all_264_3_203 & ( ~ (all_264_2_202 = 0) | all_264_0_200 = all_264_1_201 | all_264_3_203 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (588) yields:
% 124.33/69.85 | (589) set_difference(all_12_5_14, all_28_1_22) = all_264_0_200
% 124.33/69.85 | (590) preboolean(all_12_3_12) = all_264_2_202
% 124.33/69.85 | (591) empty(all_12_3_12) = all_264_3_203
% 124.33/69.85 | (592) ~ (all_264_2_202 = 0) | all_264_0_200 = all_264_1_201 | all_264_3_203 = 0
% 124.33/69.85 | (593) prebool_difference(all_12_3_12, all_12_5_14, all_28_1_22) = all_264_1_201
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (385) with all_266_0_204, all_266_1_205, all_266_2_206, all_266_3_207 yields:
% 124.33/69.85 | (594) prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = all_266_1_205 & element(all_266_1_205, all_12_3_12) = all_266_0_204 & preboolean(all_12_3_12) = all_266_2_206 & empty(all_12_3_12) = all_266_3_207 & ( ~ (all_266_2_206 = 0) | all_266_0_204 = 0 | all_266_3_207 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (594) yields:
% 124.33/69.85 | (595) prebool_difference(all_12_3_12, all_28_1_22, all_12_4_13) = all_266_1_205
% 124.33/69.85 | (596) preboolean(all_12_3_12) = all_266_2_206
% 124.33/69.85 | (597) element(all_266_1_205, all_12_3_12) = all_266_0_204
% 124.33/69.85 | (598) ~ (all_266_2_206 = 0) | all_266_0_204 = 0 | all_266_3_207 = 0
% 124.33/69.85 | (599) empty(all_12_3_12) = all_266_3_207
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (384) with all_268_0_208, all_268_1_209, all_268_2_210, all_268_3_211 yields:
% 124.33/69.85 | (600) prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_268_1_209 & element(all_268_1_209, all_12_3_12) = all_268_0_208 & preboolean(all_12_3_12) = all_268_2_210 & empty(all_12_3_12) = all_268_3_211 & ( ~ (all_268_2_210 = 0) | all_268_0_208 = 0 | all_268_3_211 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (600) yields:
% 124.33/69.85 | (601) ~ (all_268_2_210 = 0) | all_268_0_208 = 0 | all_268_3_211 = 0
% 124.33/69.85 | (602) preboolean(all_12_3_12) = all_268_2_210
% 124.33/69.85 | (603) prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_268_1_209
% 124.33/69.85 | (604) element(all_268_1_209, all_12_3_12) = all_268_0_208
% 124.33/69.85 | (605) empty(all_12_3_12) = all_268_3_211
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (380) with all_270_0_212, all_270_1_213, all_270_2_214, all_270_3_215 yields:
% 124.33/69.85 | (606) prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = all_270_1_213 & element(all_270_1_213, all_12_3_12) = all_270_0_212 & preboolean(all_12_3_12) = all_270_2_214 & empty(all_12_3_12) = all_270_3_215 & ( ~ (all_270_2_214 = 0) | all_270_0_212 = 0 | all_270_3_215 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (606) yields:
% 124.33/69.85 | (607) preboolean(all_12_3_12) = all_270_2_214
% 124.33/69.85 | (608) element(all_270_1_213, all_12_3_12) = all_270_0_212
% 124.33/69.85 | (609) empty(all_12_3_12) = all_270_3_215
% 124.33/69.85 | (610) prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = all_270_1_213
% 124.33/69.85 | (611) ~ (all_270_2_214 = 0) | all_270_0_212 = 0 | all_270_3_215 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (377) with all_272_0_216, all_272_1_217, all_272_2_218, all_272_3_219 yields:
% 124.33/69.85 | (612) prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = all_272_1_217 & element(all_272_1_217, all_12_3_12) = all_272_0_216 & preboolean(all_12_3_12) = all_272_2_218 & empty(all_12_3_12) = all_272_3_219 & ( ~ (all_272_2_218 = 0) | all_272_0_216 = 0 | all_272_3_219 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (612) yields:
% 124.33/69.85 | (613) prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = all_272_1_217
% 124.33/69.85 | (614) element(all_272_1_217, all_12_3_12) = all_272_0_216
% 124.33/69.85 | (615) preboolean(all_12_3_12) = all_272_2_218
% 124.33/69.85 | (616) ~ (all_272_2_218 = 0) | all_272_0_216 = 0 | all_272_3_219 = 0
% 124.33/69.85 | (617) empty(all_12_3_12) = all_272_3_219
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (376) with all_274_0_220, all_274_1_221, all_274_2_222, all_274_3_223 yields:
% 124.33/69.85 | (618) set_difference(all_34_1_34, all_43_1_45) = all_274_0_220 & prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = all_274_1_221 & preboolean(all_12_3_12) = all_274_2_222 & empty(all_12_3_12) = all_274_3_223 & ( ~ (all_274_2_222 = 0) | all_274_0_220 = all_274_1_221 | all_274_3_223 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (618) yields:
% 124.33/69.85 | (619) empty(all_12_3_12) = all_274_3_223
% 124.33/69.85 | (620) preboolean(all_12_3_12) = all_274_2_222
% 124.33/69.85 | (621) prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = all_274_1_221
% 124.33/69.85 | (622) set_difference(all_34_1_34, all_43_1_45) = all_274_0_220
% 124.33/69.85 | (623) ~ (all_274_2_222 = 0) | all_274_0_220 = all_274_1_221 | all_274_3_223 = 0
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (419) with all_276_0_224, all_276_1_225, all_276_2_226, all_276_3_227 yields:
% 124.33/69.85 | (624) prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = all_276_1_225 & element(all_276_1_225, all_12_3_12) = all_276_0_224 & preboolean(all_12_3_12) = all_276_2_226 & empty(all_12_3_12) = all_276_3_227 & ( ~ (all_276_2_226 = 0) | all_276_0_224 = 0 | all_276_3_227 = 0)
% 124.33/69.85 |
% 124.33/69.85 | Applying alpha-rule on (624) yields:
% 124.33/69.85 | (625) ~ (all_276_2_226 = 0) | all_276_0_224 = 0 | all_276_3_227 = 0
% 124.33/69.85 | (626) element(all_276_1_225, all_12_3_12) = all_276_0_224
% 124.33/69.85 | (627) prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = all_276_1_225
% 124.33/69.85 | (628) preboolean(all_12_3_12) = all_276_2_226
% 124.33/69.85 | (629) empty(all_12_3_12) = all_276_3_227
% 124.33/69.85 |
% 124.33/69.85 | Instantiating (418) with all_278_0_228, all_278_1_229, all_278_2_230, all_278_3_231 yields:
% 124.33/69.85 | (630) set_difference(all_26_1_18, all_28_1_22) = all_278_0_228 & prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = all_278_1_229 & preboolean(all_12_3_12) = all_278_2_230 & empty(all_12_3_12) = all_278_3_231 & ( ~ (all_278_2_230 = 0) | all_278_0_228 = all_278_1_229 | all_278_3_231 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (630) yields:
% 124.33/69.86 | (631) set_difference(all_26_1_18, all_28_1_22) = all_278_0_228
% 124.33/69.86 | (632) empty(all_12_3_12) = all_278_3_231
% 124.33/69.86 | (633) ~ (all_278_2_230 = 0) | all_278_0_228 = all_278_1_229 | all_278_3_231 = 0
% 124.33/69.86 | (634) preboolean(all_12_3_12) = all_278_2_230
% 124.33/69.86 | (635) prebool_difference(all_12_3_12, all_26_1_18, all_28_1_22) = all_278_1_229
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (422) with all_280_0_232, all_280_1_233, all_280_2_234, all_280_3_235 yields:
% 124.33/69.86 | (636) prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = all_280_1_233 & element(all_280_1_233, all_12_3_12) = all_280_0_232 & preboolean(all_12_3_12) = all_280_2_234 & empty(all_12_3_12) = all_280_3_235 & ( ~ (all_280_2_234 = 0) | all_280_0_232 = 0 | all_280_3_235 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (636) yields:
% 124.33/69.86 | (637) element(all_280_1_233, all_12_3_12) = all_280_0_232
% 124.33/69.86 | (638) ~ (all_280_2_234 = 0) | all_280_0_232 = 0 | all_280_3_235 = 0
% 124.33/69.86 | (639) empty(all_12_3_12) = all_280_3_235
% 124.33/69.86 | (640) preboolean(all_12_3_12) = all_280_2_234
% 124.33/69.86 | (641) prebool_difference(all_12_3_12, all_26_1_18, all_26_1_18) = all_280_1_233
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (417) with all_282_0_236, all_282_1_237, all_282_2_238, all_282_3_239 yields:
% 124.33/69.86 | (642) set_difference(all_28_1_22, all_26_1_18) = all_282_0_236 & prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = all_282_1_237 & preboolean(all_12_3_12) = all_282_2_238 & empty(all_12_3_12) = all_282_3_239 & ( ~ (all_282_2_238 = 0) | all_282_0_236 = all_282_1_237 | all_282_3_239 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (642) yields:
% 124.33/69.86 | (643) set_difference(all_28_1_22, all_26_1_18) = all_282_0_236
% 124.33/69.86 | (644) empty(all_12_3_12) = all_282_3_239
% 124.33/69.86 | (645) ~ (all_282_2_238 = 0) | all_282_0_236 = all_282_1_237 | all_282_3_239 = 0
% 124.33/69.86 | (646) prebool_difference(all_12_3_12, all_28_1_22, all_26_1_18) = all_282_1_237
% 124.33/69.86 | (647) preboolean(all_12_3_12) = all_282_2_238
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (415) with all_284_0_240, all_284_1_241, all_284_2_242, all_284_3_243 yields:
% 124.33/69.86 | (648) prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = all_284_1_241 & element(all_284_1_241, all_12_3_12) = all_284_0_240 & preboolean(all_12_3_12) = all_284_2_242 & empty(all_12_3_12) = all_284_3_243 & ( ~ (all_284_2_242 = 0) | all_284_0_240 = 0 | all_284_3_243 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (648) yields:
% 124.33/69.86 | (649) element(all_284_1_241, all_12_3_12) = all_284_0_240
% 124.33/69.86 | (650) prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = all_284_1_241
% 124.33/69.86 | (651) ~ (all_284_2_242 = 0) | all_284_0_240 = 0 | all_284_3_243 = 0
% 124.33/69.86 | (652) empty(all_12_3_12) = all_284_3_243
% 124.33/69.86 | (653) preboolean(all_12_3_12) = all_284_2_242
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (416) with all_295_0_247, all_295_1_248, all_295_2_249, all_295_3_250 yields:
% 124.33/69.86 | (654) prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = all_295_1_248 & element(all_295_1_248, all_12_3_12) = all_295_0_247 & preboolean(all_12_3_12) = all_295_2_249 & empty(all_12_3_12) = all_295_3_250 & ( ~ (all_295_2_249 = 0) | all_295_0_247 = 0 | all_295_3_250 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (654) yields:
% 124.33/69.86 | (655) prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = all_295_1_248
% 124.33/69.86 | (656) empty(all_12_3_12) = all_295_3_250
% 124.33/69.86 | (657) preboolean(all_12_3_12) = all_295_2_249
% 124.33/69.86 | (658) element(all_295_1_248, all_12_3_12) = all_295_0_247
% 124.33/69.86 | (659) ~ (all_295_2_249 = 0) | all_295_0_247 = 0 | all_295_3_250 = 0
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (375) with all_297_0_251, all_297_1_252, all_297_2_253, all_297_3_254 yields:
% 124.33/69.86 | (660) set_difference(all_43_1_45, all_34_1_34) = all_297_0_251 & prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = all_297_1_252 & preboolean(all_12_3_12) = all_297_2_253 & empty(all_12_3_12) = all_297_3_254 & ( ~ (all_297_2_253 = 0) | all_297_0_251 = all_297_1_252 | all_297_3_254 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (660) yields:
% 124.33/69.86 | (661) prebool_difference(all_12_3_12, all_43_1_45, all_34_1_34) = all_297_1_252
% 124.33/69.86 | (662) set_difference(all_43_1_45, all_34_1_34) = all_297_0_251
% 124.33/69.86 | (663) ~ (all_297_2_253 = 0) | all_297_0_251 = all_297_1_252 | all_297_3_254 = 0
% 124.33/69.86 | (664) preboolean(all_12_3_12) = all_297_2_253
% 124.33/69.86 | (665) empty(all_12_3_12) = all_297_3_254
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (413) with all_299_0_255, all_299_1_256, all_299_2_257, all_299_3_258 yields:
% 124.33/69.86 | (666) set_difference(all_34_1_34, all_26_1_18) = all_299_0_255 & prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = all_299_1_256 & preboolean(all_12_3_12) = all_299_2_257 & empty(all_12_3_12) = all_299_3_258 & ( ~ (all_299_2_257 = 0) | all_299_0_255 = all_299_1_256 | all_299_3_258 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (666) yields:
% 124.33/69.86 | (667) preboolean(all_12_3_12) = all_299_2_257
% 124.33/69.86 | (668) prebool_difference(all_12_3_12, all_34_1_34, all_26_1_18) = all_299_1_256
% 124.33/69.86 | (669) ~ (all_299_2_257 = 0) | all_299_0_255 = all_299_1_256 | all_299_3_258 = 0
% 124.33/69.86 | (670) set_difference(all_34_1_34, all_26_1_18) = all_299_0_255
% 124.33/69.86 | (671) empty(all_12_3_12) = all_299_3_258
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (411) with all_301_0_259, all_301_1_260, all_301_2_261, all_301_3_262 yields:
% 124.33/69.86 | (672) prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = all_301_1_260 & element(all_301_1_260, all_12_3_12) = all_301_0_259 & preboolean(all_12_3_12) = all_301_2_261 & empty(all_12_3_12) = all_301_3_262 & ( ~ (all_301_2_261 = 0) | all_301_0_259 = 0 | all_301_3_262 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (672) yields:
% 124.33/69.86 | (673) element(all_301_1_260, all_12_3_12) = all_301_0_259
% 124.33/69.86 | (674) ~ (all_301_2_261 = 0) | all_301_0_259 = 0 | all_301_3_262 = 0
% 124.33/69.86 | (675) prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = all_301_1_260
% 124.33/69.86 | (676) empty(all_12_3_12) = all_301_3_262
% 124.33/69.86 | (677) preboolean(all_12_3_12) = all_301_2_261
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (379) with all_303_0_263, all_303_1_264, all_303_2_265, all_303_3_266 yields:
% 124.33/69.86 | (678) set_difference(all_34_1_34, all_34_1_34) = all_303_0_263 & prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = all_303_1_264 & preboolean(all_12_3_12) = all_303_2_265 & empty(all_12_3_12) = all_303_3_266 & ( ~ (all_303_2_265 = 0) | all_303_0_263 = all_303_1_264 | all_303_3_266 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (678) yields:
% 124.33/69.86 | (679) preboolean(all_12_3_12) = all_303_2_265
% 124.33/69.86 | (680) empty(all_12_3_12) = all_303_3_266
% 124.33/69.86 | (681) ~ (all_303_2_265 = 0) | all_303_0_263 = all_303_1_264 | all_303_3_266 = 0
% 124.33/69.86 | (682) set_difference(all_34_1_34, all_34_1_34) = all_303_0_263
% 124.33/69.86 | (683) prebool_difference(all_12_3_12, all_34_1_34, all_34_1_34) = all_303_1_264
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (412) with all_305_0_267, all_305_1_268, all_305_2_269, all_305_3_270 yields:
% 124.33/69.86 | (684) prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = all_305_1_268 & element(all_305_1_268, all_12_3_12) = all_305_0_267 & preboolean(all_12_3_12) = all_305_2_269 & empty(all_12_3_12) = all_305_3_270 & ( ~ (all_305_2_269 = 0) | all_305_0_267 = 0 | all_305_3_270 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (684) yields:
% 124.33/69.86 | (685) preboolean(all_12_3_12) = all_305_2_269
% 124.33/69.86 | (686) prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = all_305_1_268
% 124.33/69.86 | (687) ~ (all_305_2_269 = 0) | all_305_0_267 = 0 | all_305_3_270 = 0
% 124.33/69.86 | (688) empty(all_12_3_12) = all_305_3_270
% 124.33/69.86 | (689) element(all_305_1_268, all_12_3_12) = all_305_0_267
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (378) with all_307_0_271, all_307_1_272, all_307_2_273, all_307_3_274 yields:
% 124.33/69.86 | (690) prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = all_307_1_272 & element(all_307_1_272, all_12_3_12) = all_307_0_271 & preboolean(all_12_3_12) = all_307_2_273 & empty(all_12_3_12) = all_307_3_274 & ( ~ (all_307_2_273 = 0) | all_307_0_271 = 0 | all_307_3_274 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (690) yields:
% 124.33/69.86 | (691) ~ (all_307_2_273 = 0) | all_307_0_271 = 0 | all_307_3_274 = 0
% 124.33/69.86 | (692) empty(all_12_3_12) = all_307_3_274
% 124.33/69.86 | (693) element(all_307_1_272, all_12_3_12) = all_307_0_271
% 124.33/69.86 | (694) preboolean(all_12_3_12) = all_307_2_273
% 124.33/69.86 | (695) prebool_difference(all_12_3_12, all_34_1_34, all_43_1_45) = all_307_1_272
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (410) with all_309_0_275, all_309_1_276, all_309_2_277, all_309_3_278 yields:
% 124.33/69.86 | (696) set_difference(all_26_1_18, all_43_1_45) = all_309_0_275 & prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = all_309_1_276 & preboolean(all_12_3_12) = all_309_2_277 & empty(all_12_3_12) = all_309_3_278 & ( ~ (all_309_2_277 = 0) | all_309_0_275 = all_309_1_276 | all_309_3_278 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (696) yields:
% 124.33/69.86 | (697) set_difference(all_26_1_18, all_43_1_45) = all_309_0_275
% 124.33/69.86 | (698) empty(all_12_3_12) = all_309_3_278
% 124.33/69.86 | (699) ~ (all_309_2_277 = 0) | all_309_0_275 = all_309_1_276 | all_309_3_278 = 0
% 124.33/69.86 | (700) preboolean(all_12_3_12) = all_309_2_277
% 124.33/69.86 | (701) prebool_difference(all_12_3_12, all_26_1_18, all_43_1_45) = all_309_1_276
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (414) with all_311_0_279, all_311_1_280, all_311_2_281, all_311_3_282 yields:
% 124.33/69.86 | (702) set_difference(all_26_1_18, all_34_1_34) = all_311_0_279 & prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = all_311_1_280 & preboolean(all_12_3_12) = all_311_2_281 & empty(all_12_3_12) = all_311_3_282 & ( ~ (all_311_2_281 = 0) | all_311_0_279 = all_311_1_280 | all_311_3_282 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (702) yields:
% 124.33/69.86 | (703) set_difference(all_26_1_18, all_34_1_34) = all_311_0_279
% 124.33/69.86 | (704) preboolean(all_12_3_12) = all_311_2_281
% 124.33/69.86 | (705) prebool_difference(all_12_3_12, all_26_1_18, all_34_1_34) = all_311_1_280
% 124.33/69.86 | (706) empty(all_12_3_12) = all_311_3_282
% 124.33/69.86 | (707) ~ (all_311_2_281 = 0) | all_311_0_279 = all_311_1_280 | all_311_3_282 = 0
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (424) with all_317_0_287, all_317_1_288 yields:
% 124.33/69.86 | (708) element(all_12_3_12, all_98_0_82) = all_317_1_288 & element(all_12_5_14, all_12_3_12) = all_317_0_287 & ( ~ (all_317_1_288 = 0) | all_317_0_287 = 0)
% 124.33/69.86 |
% 124.33/69.86 | Applying alpha-rule on (708) yields:
% 124.33/69.86 | (709) element(all_12_3_12, all_98_0_82) = all_317_1_288
% 124.33/69.86 | (710) element(all_12_5_14, all_12_3_12) = all_317_0_287
% 124.33/69.86 | (711) ~ (all_317_1_288 = 0) | all_317_0_287 = 0
% 124.33/69.86 |
% 124.33/69.86 | Instantiating (374) with all_323_0_297, all_323_1_298, all_323_2_299, all_323_3_300 yields:
% 124.33/69.86 | (712) prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = all_323_1_298 & element(all_323_1_298, all_12_3_12) = all_323_0_297 & preboolean(all_12_3_12) = all_323_2_299 & empty(all_12_3_12) = all_323_3_300 & ( ~ (all_323_2_299 = 0) | all_323_0_297 = 0 | all_323_3_300 = 0)
% 124.33/69.86 |
% 124.33/69.87 | Applying alpha-rule on (712) yields:
% 124.33/69.87 | (713) prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = all_323_1_298
% 124.33/69.87 | (714) element(all_323_1_298, all_12_3_12) = all_323_0_297
% 124.33/69.87 | (715) empty(all_12_3_12) = all_323_3_300
% 124.33/69.87 | (716) ~ (all_323_2_299 = 0) | all_323_0_297 = 0 | all_323_3_300 = 0
% 124.33/69.87 | (717) preboolean(all_12_3_12) = all_323_2_299
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (373) with all_325_0_301, all_325_1_302, all_325_2_303, all_325_3_304 yields:
% 124.33/69.87 | (718) prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = all_325_1_302 & element(all_325_1_302, all_12_3_12) = all_325_0_301 & preboolean(all_12_3_12) = all_325_2_303 & empty(all_12_3_12) = all_325_3_304 & ( ~ (all_325_2_303 = 0) | all_325_0_301 = 0 | all_325_3_304 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (718) yields:
% 124.33/69.87 | (719) prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = all_325_1_302
% 124.33/69.87 | (720) empty(all_12_3_12) = all_325_3_304
% 124.33/69.87 | (721) ~ (all_325_2_303 = 0) | all_325_0_301 = 0 | all_325_3_304 = 0
% 124.33/69.87 | (722) element(all_325_1_302, all_12_3_12) = all_325_0_301
% 124.33/69.87 | (723) preboolean(all_12_3_12) = all_325_2_303
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (371) with all_327_0_305, all_327_1_306, all_327_2_307, all_327_3_308 yields:
% 124.33/69.87 | (724) set_difference(all_12_5_14, all_34_1_34) = all_327_0_305 & prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = all_327_1_306 & preboolean(all_12_3_12) = all_327_2_307 & empty(all_12_3_12) = all_327_3_308 & ( ~ (all_327_2_307 = 0) | all_327_0_305 = all_327_1_306 | all_327_3_308 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (724) yields:
% 124.33/69.87 | (725) prebool_difference(all_12_3_12, all_12_5_14, all_34_1_34) = all_327_1_306
% 124.33/69.87 | (726) ~ (all_327_2_307 = 0) | all_327_0_305 = all_327_1_306 | all_327_3_308 = 0
% 124.33/69.87 | (727) set_difference(all_12_5_14, all_34_1_34) = all_327_0_305
% 124.33/69.87 | (728) preboolean(all_12_3_12) = all_327_2_307
% 124.33/69.87 | (729) empty(all_12_3_12) = all_327_3_308
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (370) with all_329_0_309, all_329_1_310, all_329_2_311, all_329_3_312 yields:
% 124.33/69.87 | (730) prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = all_329_1_310 & element(all_329_1_310, all_12_3_12) = all_329_0_309 & preboolean(all_12_3_12) = all_329_2_311 & empty(all_12_3_12) = all_329_3_312 & ( ~ (all_329_2_311 = 0) | all_329_0_309 = 0 | all_329_3_312 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (730) yields:
% 124.33/69.87 | (731) empty(all_12_3_12) = all_329_3_312
% 124.33/69.87 | (732) ~ (all_329_2_311 = 0) | all_329_0_309 = 0 | all_329_3_312 = 0
% 124.33/69.87 | (733) element(all_329_1_310, all_12_3_12) = all_329_0_309
% 124.33/69.87 | (734) prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = all_329_1_310
% 124.33/69.87 | (735) preboolean(all_12_3_12) = all_329_2_311
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (350) with all_379_0_380, all_379_1_381, all_379_2_382, all_379_3_383 yields:
% 124.33/69.87 | (736) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_379_0_380 & element(all_26_1_18, all_12_3_12) = all_379_1_381 & preboolean(all_12_3_12) = all_379_2_382 & empty(all_12_3_12) = all_379_3_383 & ( ~ (all_379_1_381 = 0) | ~ (all_379_2_382 = 0) | all_379_0_380 = all_12_1_10 | all_379_3_383 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (736) yields:
% 124.33/69.87 | (737) empty(all_12_3_12) = all_379_3_383
% 124.33/69.87 | (738) ~ (all_379_1_381 = 0) | ~ (all_379_2_382 = 0) | all_379_0_380 = all_12_1_10 | all_379_3_383 = 0
% 124.33/69.87 | (739) preboolean(all_12_3_12) = all_379_2_382
% 124.33/69.87 | (740) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_379_0_380
% 124.33/69.87 | (741) element(all_26_1_18, all_12_3_12) = all_379_1_381
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (349) with all_381_0_384 yields:
% 124.33/69.87 | (742) set_difference(all_12_4_13, all_28_1_22) = all_381_0_384 & set_intersection2(all_12_4_13, all_12_5_14) = all_381_0_384
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (742) yields:
% 124.33/69.87 | (743) set_difference(all_12_4_13, all_28_1_22) = all_381_0_384
% 124.33/69.87 | (744) set_intersection2(all_12_4_13, all_12_5_14) = all_381_0_384
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (351) with all_397_0_407, all_397_1_408, all_397_2_409, all_397_3_410 yields:
% 124.33/69.87 | (745) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_397_0_407 & element(all_26_1_18, all_12_3_12) = all_397_1_408 & element(all_12_5_14, all_12_3_12) = all_397_2_409 & empty(all_12_3_12) = all_397_3_410 & ( ~ (all_397_1_408 = 0) | ~ (all_397_2_409 = 0) | all_397_0_407 = all_12_1_10 | all_397_3_410 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (745) yields:
% 124.33/69.87 | (746) element(all_12_5_14, all_12_3_12) = all_397_2_409
% 124.33/69.87 | (747) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_397_0_407
% 124.33/69.87 | (748) element(all_26_1_18, all_12_3_12) = all_397_1_408
% 124.33/69.87 | (749) empty(all_12_3_12) = all_397_3_410
% 124.33/69.87 | (750) ~ (all_397_1_408 = 0) | ~ (all_397_2_409 = 0) | all_397_0_407 = all_12_1_10 | all_397_3_410 = 0
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (352) with all_405_0_415, all_405_1_416, all_405_2_417, all_405_3_418 yields:
% 124.33/69.87 | (751) prebool_difference(all_12_3_12, all_10_0_7, all_10_0_7) = all_405_0_415 & element(all_10_0_7, all_12_3_12) = all_405_1_416 & element(all_10_0_7, all_12_3_12) = all_405_2_417 & empty(all_12_3_12) = all_405_3_418 & ( ~ (all_405_1_416 = 0) | ~ (all_405_2_417 = 0) | all_405_0_415 = all_53_0_57 | all_405_3_418 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (751) yields:
% 124.33/69.87 | (752) element(all_10_0_7, all_12_3_12) = all_405_1_416
% 124.33/69.87 | (753) prebool_difference(all_12_3_12, all_10_0_7, all_10_0_7) = all_405_0_415
% 124.33/69.87 | (754) ~ (all_405_1_416 = 0) | ~ (all_405_2_417 = 0) | all_405_0_415 = all_53_0_57 | all_405_3_418 = 0
% 124.33/69.87 | (755) empty(all_12_3_12) = all_405_3_418
% 124.33/69.87 | (756) element(all_10_0_7, all_12_3_12) = all_405_2_417
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (425) with all_417_0_435, all_417_1_436 yields:
% 124.33/69.87 | (757) element(all_12_3_12, all_98_0_82) = all_417_1_436 & empty(all_12_3_12) = all_417_0_435 & ( ~ (all_417_0_435 = 0) | ~ (all_417_1_436 = 0))
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (757) yields:
% 124.33/69.87 | (758) element(all_12_3_12, all_98_0_82) = all_417_1_436
% 124.33/69.87 | (759) empty(all_12_3_12) = all_417_0_435
% 124.33/69.87 | (760) ~ (all_417_0_435 = 0) | ~ (all_417_1_436 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (369) with all_423_0_441, all_423_1_442, all_423_2_443, all_423_3_444 yields:
% 124.33/69.87 | (761) prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = all_423_1_442 & element(all_423_1_442, all_12_3_12) = all_423_0_441 & preboolean(all_12_3_12) = all_423_2_443 & empty(all_12_3_12) = all_423_3_444 & ( ~ (all_423_2_443 = 0) | all_423_0_441 = 0 | all_423_3_444 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (761) yields:
% 124.33/69.87 | (762) element(all_423_1_442, all_12_3_12) = all_423_0_441
% 124.33/69.87 | (763) empty(all_12_3_12) = all_423_3_444
% 124.33/69.87 | (764) preboolean(all_12_3_12) = all_423_2_443
% 124.33/69.87 | (765) ~ (all_423_2_443 = 0) | all_423_0_441 = 0 | all_423_3_444 = 0
% 124.33/69.87 | (766) prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = all_423_1_442
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (367) with all_425_0_445, all_425_1_446, all_425_2_447, all_425_3_448 yields:
% 124.33/69.87 | (767) set_difference(all_12_4_13, all_34_1_34) = all_425_0_445 & prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = all_425_1_446 & preboolean(all_12_3_12) = all_425_2_447 & empty(all_12_3_12) = all_425_3_448 & ( ~ (all_425_2_447 = 0) | all_425_0_445 = all_425_1_446 | all_425_3_448 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (767) yields:
% 124.33/69.87 | (768) ~ (all_425_2_447 = 0) | all_425_0_445 = all_425_1_446 | all_425_3_448 = 0
% 124.33/69.87 | (769) preboolean(all_12_3_12) = all_425_2_447
% 124.33/69.87 | (770) empty(all_12_3_12) = all_425_3_448
% 124.33/69.87 | (771) prebool_difference(all_12_3_12, all_12_4_13, all_34_1_34) = all_425_1_446
% 124.33/69.87 | (772) set_difference(all_12_4_13, all_34_1_34) = all_425_0_445
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (372) with all_427_0_449, all_427_1_450, all_427_2_451, all_427_3_452 yields:
% 124.33/69.87 | (773) set_difference(all_34_1_34, all_12_5_14) = all_427_0_449 & prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = all_427_1_450 & preboolean(all_12_3_12) = all_427_2_451 & empty(all_12_3_12) = all_427_3_452 & ( ~ (all_427_2_451 = 0) | all_427_0_449 = all_427_1_450 | all_427_3_452 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (773) yields:
% 124.33/69.87 | (774) empty(all_12_3_12) = all_427_3_452
% 124.33/69.87 | (775) preboolean(all_12_3_12) = all_427_2_451
% 124.33/69.87 | (776) ~ (all_427_2_451 = 0) | all_427_0_449 = all_427_1_450 | all_427_3_452 = 0
% 124.33/69.87 | (777) prebool_difference(all_12_3_12, all_34_1_34, all_12_5_14) = all_427_1_450
% 124.33/69.87 | (778) set_difference(all_34_1_34, all_12_5_14) = all_427_0_449
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (409) with all_444_0_471, all_444_1_472, all_444_2_473, all_444_3_474 yields:
% 124.33/69.87 | (779) set_difference(all_43_1_45, all_26_1_18) = all_444_0_471 & prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = all_444_1_472 & preboolean(all_12_3_12) = all_444_2_473 & empty(all_12_3_12) = all_444_3_474 & ( ~ (all_444_2_473 = 0) | all_444_0_471 = all_444_1_472 | all_444_3_474 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (779) yields:
% 124.33/69.87 | (780) empty(all_12_3_12) = all_444_3_474
% 124.33/69.87 | (781) set_difference(all_43_1_45, all_26_1_18) = all_444_0_471
% 124.33/69.87 | (782) ~ (all_444_2_473 = 0) | all_444_0_471 = all_444_1_472 | all_444_3_474 = 0
% 124.33/69.87 | (783) prebool_difference(all_12_3_12, all_43_1_45, all_26_1_18) = all_444_1_472
% 124.33/69.87 | (784) preboolean(all_12_3_12) = all_444_2_473
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (363) with all_496_0_535, all_496_1_536, all_496_2_537, all_496_3_538 yields:
% 124.33/69.87 | (785) prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = all_496_1_536 & element(all_496_1_536, all_12_3_12) = all_496_0_535 & preboolean(all_12_3_12) = all_496_2_537 & empty(all_12_3_12) = all_496_3_538 & ( ~ (all_496_2_537 = 0) | all_496_0_535 = 0 | all_496_3_538 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (785) yields:
% 124.33/69.87 | (786) prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = all_496_1_536
% 124.33/69.87 | (787) empty(all_12_3_12) = all_496_3_538
% 124.33/69.87 | (788) ~ (all_496_2_537 = 0) | all_496_0_535 = 0 | all_496_3_538 = 0
% 124.33/69.87 | (789) element(all_496_1_536, all_12_3_12) = all_496_0_535
% 124.33/69.87 | (790) preboolean(all_12_3_12) = all_496_2_537
% 124.33/69.87 |
% 124.33/69.87 | Instantiating (361) with all_498_0_539, all_498_1_540, all_498_2_541, all_498_3_542 yields:
% 124.33/69.87 | (791) set_difference(all_43_1_45, all_12_5_14) = all_498_0_539 & prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = all_498_1_540 & preboolean(all_12_3_12) = all_498_2_541 & empty(all_12_3_12) = all_498_3_542 & ( ~ (all_498_2_541 = 0) | all_498_0_539 = all_498_1_540 | all_498_3_542 = 0)
% 124.33/69.87 |
% 124.33/69.87 | Applying alpha-rule on (791) yields:
% 124.33/69.88 | (792) prebool_difference(all_12_3_12, all_43_1_45, all_12_5_14) = all_498_1_540
% 124.33/69.88 | (793) preboolean(all_12_3_12) = all_498_2_541
% 124.33/69.88 | (794) ~ (all_498_2_541 = 0) | all_498_0_539 = all_498_1_540 | all_498_3_542 = 0
% 124.33/69.88 | (795) set_difference(all_43_1_45, all_12_5_14) = all_498_0_539
% 124.33/69.88 | (796) empty(all_12_3_12) = all_498_3_542
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (360) with all_500_0_543, all_500_1_544, all_500_2_545, all_500_3_546 yields:
% 124.33/69.88 | (797) set_difference(all_12_5_14, all_43_1_45) = all_500_0_543 & prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = all_500_1_544 & preboolean(all_12_3_12) = all_500_2_545 & empty(all_12_3_12) = all_500_3_546 & ( ~ (all_500_2_545 = 0) | all_500_0_543 = all_500_1_544 | all_500_3_546 = 0)
% 124.33/69.88 |
% 124.33/69.88 | Applying alpha-rule on (797) yields:
% 124.33/69.88 | (798) empty(all_12_3_12) = all_500_3_546
% 124.33/69.88 | (799) ~ (all_500_2_545 = 0) | all_500_0_543 = all_500_1_544 | all_500_3_546 = 0
% 124.33/69.88 | (800) set_difference(all_12_5_14, all_43_1_45) = all_500_0_543
% 124.33/69.88 | (801) prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = all_500_1_544
% 124.33/69.88 | (802) preboolean(all_12_3_12) = all_500_2_545
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (355) with all_504_0_551, all_504_1_552, all_504_2_553, all_504_3_554 yields:
% 124.33/69.88 | (803) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_504_0_551 & element(all_12_5_14, all_12_3_12) = all_504_1_552 & preboolean(all_12_3_12) = all_504_2_553 & empty(all_12_3_12) = all_504_3_554 & ( ~ (all_504_1_552 = 0) | ~ (all_504_2_553 = 0) | all_504_0_551 = all_12_1_10 | all_504_3_554 = 0)
% 124.33/69.88 |
% 124.33/69.88 | Applying alpha-rule on (803) yields:
% 124.33/69.88 | (804) preboolean(all_12_3_12) = all_504_2_553
% 124.33/69.88 | (805) ~ (all_504_1_552 = 0) | ~ (all_504_2_553 = 0) | all_504_0_551 = all_12_1_10 | all_504_3_554 = 0
% 124.33/69.88 | (806) prebool_difference(all_12_3_12, all_12_5_14, all_26_1_18) = all_504_0_551
% 124.33/69.88 | (807) element(all_12_5_14, all_12_3_12) = all_504_1_552
% 124.33/69.88 | (808) empty(all_12_3_12) = all_504_3_554
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (362) with all_506_0_555, all_506_1_556, all_506_2_557, all_506_3_558 yields:
% 124.33/69.88 | (809) prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = all_506_1_556 & element(all_506_1_556, all_12_3_12) = all_506_0_555 & preboolean(all_12_3_12) = all_506_2_557 & empty(all_12_3_12) = all_506_3_558 & ( ~ (all_506_2_557 = 0) | all_506_0_555 = 0 | all_506_3_558 = 0)
% 124.33/69.88 |
% 124.33/69.88 | Applying alpha-rule on (809) yields:
% 124.33/69.88 | (810) prebool_difference(all_12_3_12, all_12_5_14, all_43_1_45) = all_506_1_556
% 124.33/69.88 | (811) ~ (all_506_2_557 = 0) | all_506_0_555 = 0 | all_506_3_558 = 0
% 124.33/69.88 | (812) element(all_506_1_556, all_12_3_12) = all_506_0_555
% 124.33/69.88 | (813) preboolean(all_12_3_12) = all_506_2_557
% 124.33/69.88 | (814) empty(all_12_3_12) = all_506_3_558
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (359) with all_508_0_559, all_508_1_560, all_508_2_561, all_508_3_562 yields:
% 124.33/69.88 | (815) prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = all_508_1_560 & element(all_508_1_560, all_12_3_12) = all_508_0_559 & preboolean(all_12_3_12) = all_508_2_561 & empty(all_12_3_12) = all_508_3_562 & ( ~ (all_508_2_561 = 0) | all_508_0_559 = 0 | all_508_3_562 = 0)
% 124.33/69.88 |
% 124.33/69.88 | Applying alpha-rule on (815) yields:
% 124.33/69.88 | (816) empty(all_12_3_12) = all_508_3_562
% 124.33/69.88 | (817) element(all_508_1_560, all_12_3_12) = all_508_0_559
% 124.33/69.88 | (818) prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = all_508_1_560
% 124.33/69.88 | (819) preboolean(all_12_3_12) = all_508_2_561
% 124.33/69.88 | (820) ~ (all_508_2_561 = 0) | all_508_0_559 = 0 | all_508_3_562 = 0
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (358) with all_510_0_563, all_510_1_564, all_510_2_565, all_510_3_566 yields:
% 124.33/69.88 | (821) prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = all_510_1_564 & element(all_510_1_564, all_12_3_12) = all_510_0_563 & preboolean(all_12_3_12) = all_510_2_565 & empty(all_12_3_12) = all_510_3_566 & ( ~ (all_510_2_565 = 0) | all_510_0_563 = 0 | all_510_3_566 = 0)
% 124.33/69.88 |
% 124.33/69.88 | Applying alpha-rule on (821) yields:
% 124.33/69.88 | (822) empty(all_12_3_12) = all_510_3_566
% 124.33/69.88 | (823) preboolean(all_12_3_12) = all_510_2_565
% 124.33/69.88 | (824) prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = all_510_1_564
% 124.33/69.88 | (825) ~ (all_510_2_565 = 0) | all_510_0_563 = 0 | all_510_3_566 = 0
% 124.33/69.88 | (826) element(all_510_1_564, all_12_3_12) = all_510_0_563
% 124.33/69.88 |
% 124.33/69.88 | Instantiating (366) with all_524_0_589, all_524_1_590 yields:
% 124.33/69.88 | (827) empty(all_12_3_12) = all_524_1_590 & in(all_43_1_45, all_12_3_12) = all_524_0_589 & (all_524_0_589 = 0 | all_524_1_590 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (827) yields:
% 124.60/69.88 | (828) empty(all_12_3_12) = all_524_1_590
% 124.60/69.88 | (829) in(all_43_1_45, all_12_3_12) = all_524_0_589
% 124.60/69.88 | (830) all_524_0_589 = 0 | all_524_1_590 = 0
% 124.60/69.88 |
% 124.60/69.88 | Instantiating (365) with all_526_0_591, all_526_1_592, all_526_2_593, all_526_3_594 yields:
% 124.60/69.88 | (831) prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = all_526_1_592 & element(all_526_1_592, all_12_3_12) = all_526_0_591 & preboolean(all_12_3_12) = all_526_2_593 & empty(all_12_3_12) = all_526_3_594 & ( ~ (all_526_2_593 = 0) | all_526_0_591 = 0 | all_526_3_594 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (831) yields:
% 124.60/69.88 | (832) ~ (all_526_2_593 = 0) | all_526_0_591 = 0 | all_526_3_594 = 0
% 124.60/69.88 | (833) preboolean(all_12_3_12) = all_526_2_593
% 124.60/69.88 | (834) element(all_526_1_592, all_12_3_12) = all_526_0_591
% 124.60/69.88 | (835) prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = all_526_1_592
% 124.60/69.88 | (836) empty(all_12_3_12) = all_526_3_594
% 124.60/69.88 |
% 124.60/69.88 | Instantiating (368) with all_528_0_595, all_528_1_596, all_528_2_597, all_528_3_598 yields:
% 124.60/69.88 | (837) set_difference(all_34_1_34, all_12_4_13) = all_528_0_595 & prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = all_528_1_596 & preboolean(all_12_3_12) = all_528_2_597 & empty(all_12_3_12) = all_528_3_598 & ( ~ (all_528_2_597 = 0) | all_528_0_595 = all_528_1_596 | all_528_3_598 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (837) yields:
% 124.60/69.88 | (838) ~ (all_528_2_597 = 0) | all_528_0_595 = all_528_1_596 | all_528_3_598 = 0
% 124.60/69.88 | (839) preboolean(all_12_3_12) = all_528_2_597
% 124.60/69.88 | (840) prebool_difference(all_12_3_12, all_34_1_34, all_12_4_13) = all_528_1_596
% 124.60/69.88 | (841) empty(all_12_3_12) = all_528_3_598
% 124.60/69.88 | (842) set_difference(all_34_1_34, all_12_4_13) = all_528_0_595
% 124.60/69.88 |
% 124.60/69.88 | Instantiating (364) with all_530_0_599, all_530_1_600, all_530_2_601, all_530_3_602 yields:
% 124.60/69.88 | (843) set_difference(all_43_1_45, all_43_1_45) = all_530_0_599 & prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = all_530_1_600 & preboolean(all_12_3_12) = all_530_2_601 & empty(all_12_3_12) = all_530_3_602 & ( ~ (all_530_2_601 = 0) | all_530_0_599 = all_530_1_600 | all_530_3_602 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (843) yields:
% 124.60/69.88 | (844) empty(all_12_3_12) = all_530_3_602
% 124.60/69.88 | (845) set_difference(all_43_1_45, all_43_1_45) = all_530_0_599
% 124.60/69.88 | (846) preboolean(all_12_3_12) = all_530_2_601
% 124.60/69.88 | (847) ~ (all_530_2_601 = 0) | all_530_0_599 = all_530_1_600 | all_530_3_602 = 0
% 124.60/69.88 | (848) prebool_difference(all_12_3_12, all_43_1_45, all_43_1_45) = all_530_1_600
% 124.60/69.88 |
% 124.60/69.88 | Instantiating (357) with all_534_0_607, all_534_1_608, all_534_2_609, all_534_3_610 yields:
% 124.60/69.88 | (849) set_difference(all_43_1_45, all_12_4_13) = all_534_0_607 & prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = all_534_1_608 & preboolean(all_12_3_12) = all_534_2_609 & empty(all_12_3_12) = all_534_3_610 & ( ~ (all_534_2_609 = 0) | all_534_0_607 = all_534_1_608 | all_534_3_610 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (849) yields:
% 124.60/69.88 | (850) preboolean(all_12_3_12) = all_534_2_609
% 124.60/69.88 | (851) set_difference(all_43_1_45, all_12_4_13) = all_534_0_607
% 124.60/69.88 | (852) prebool_difference(all_12_3_12, all_43_1_45, all_12_4_13) = all_534_1_608
% 124.60/69.88 | (853) empty(all_12_3_12) = all_534_3_610
% 124.60/69.88 | (854) ~ (all_534_2_609 = 0) | all_534_0_607 = all_534_1_608 | all_534_3_610 = 0
% 124.60/69.88 |
% 124.60/69.88 | Instantiating (356) with all_536_0_611, all_536_1_612, all_536_2_613, all_536_3_614 yields:
% 124.60/69.88 | (855) set_difference(all_12_4_13, all_43_1_45) = all_536_0_611 & prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = all_536_1_612 & preboolean(all_12_3_12) = all_536_2_613 & empty(all_12_3_12) = all_536_3_614 & ( ~ (all_536_2_613 = 0) | all_536_0_611 = all_536_1_612 | all_536_3_614 = 0)
% 124.60/69.88 |
% 124.60/69.88 | Applying alpha-rule on (855) yields:
% 124.60/69.88 | (856) preboolean(all_12_3_12) = all_536_2_613
% 124.60/69.88 | (857) ~ (all_536_2_613 = 0) | all_536_0_611 = all_536_1_612 | all_536_3_614 = 0
% 124.60/69.88 | (858) set_difference(all_12_4_13, all_43_1_45) = all_536_0_611
% 124.60/69.88 | (859) empty(all_12_3_12) = all_536_3_614
% 124.60/69.88 | (860) prebool_difference(all_12_3_12, all_12_4_13, all_43_1_45) = all_536_1_612
% 124.60/69.88 |
% 124.60/69.88 +-Applying beta-rule and splitting (94), into two cases.
% 124.60/69.88 |-Branch one:
% 124.60/69.88 | (861) ~ (element(all_12_5_14, all_12_3_12) = all_12_0_9)
% 124.60/69.88 |
% 124.60/69.88 +-Applying beta-rule and splitting (353), into two cases.
% 124.60/69.88 |-Branch one:
% 124.60/69.88 | (862) empty(all_12_3_12) = 0
% 124.60/69.88 |
% 124.60/69.88 +-Applying beta-rule and splitting (354), into two cases.
% 124.60/69.88 |-Branch one:
% 124.60/69.88 | (862) empty(all_12_3_12) = 0
% 124.60/69.88 |
% 124.60/69.88 +-Applying beta-rule and splitting (210), into two cases.
% 124.60/69.88 |-Branch one:
% 124.60/69.88 | (864) ~ (empty(all_12_3_12) = 0)
% 124.60/69.88 |
% 124.60/69.88 | Using (862) and (864) yields:
% 124.60/69.88 | (865) $false
% 124.60/69.88 |
% 124.60/69.88 |-The branch is then unsatisfiable
% 124.60/69.88 |-Branch two:
% 124.60/69.88 | (862) empty(all_12_3_12) = 0
% 124.60/69.88 | (867) all_12_3_12 = empty_set
% 124.60/69.88 |
% 124.60/69.88 | From (867) and (90) follows:
% 124.60/69.88 | (868) empty(empty_set) = all_12_2_11
% 124.60/69.88 |
% 124.60/69.88 +-Applying beta-rule and splitting (95), into two cases.
% 124.60/69.88 |-Branch one:
% 124.60/69.88 | (869) ~ (empty(all_2_0_0) = all_12_2_11)
% 124.60/69.88 |
% 124.60/69.88 | From (96) and (869) follows:
% 124.60/69.88 | (870) ~ (empty(empty_set) = all_12_2_11)
% 124.60/69.88 |
% 124.60/69.89 | Using (868) and (870) yields:
% 124.60/69.89 | (865) $false
% 124.60/69.89 |
% 124.60/69.89 |-The branch is then unsatisfiable
% 124.60/69.89 |-Branch two:
% 124.60/69.89 | (872) empty(all_2_0_0) = all_12_2_11
% 124.60/69.89 | (178) all_12_2_11 = 0
% 124.60/69.89 |
% 124.60/69.89 | Equations (178) can reduce 93 to:
% 124.60/69.89 | (179) $false
% 124.60/69.89 |
% 124.60/69.89 |-The branch is then unsatisfiable
% 124.60/69.89 |-Branch two:
% 124.60/69.89 | (864) ~ (empty(all_12_3_12) = 0)
% 124.60/69.89 | (876) ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & empty(v0) = v1)
% 124.60/69.89 |
% 124.60/69.89 | Using (862) and (864) yields:
% 124.60/69.89 | (865) $false
% 124.60/69.89 |
% 124.60/69.89 |-The branch is then unsatisfiable
% 124.60/69.89 |-Branch two:
% 124.60/69.89 | (864) ~ (empty(all_12_3_12) = 0)
% 124.60/69.89 | (184) ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & finite(v0) = 0 & empty(v0) = v1)
% 124.60/69.89 |
% 124.60/69.89 +-Applying beta-rule and splitting (354), into two cases.
% 124.60/69.89 |-Branch one:
% 124.60/69.89 | (862) empty(all_12_3_12) = 0
% 124.60/69.89 |
% 124.60/69.89 | Using (862) and (864) yields:
% 124.60/69.89 | (865) $false
% 124.60/69.89 |
% 124.60/69.89 |-The branch is then unsatisfiable
% 124.60/69.89 |-Branch two:
% 124.60/69.89 | (864) ~ (empty(all_12_3_12) = 0)
% 124.60/69.89 | (876) ? [v0] : ? [v1] : ( ~ (v1 = 0) & element(v0, all_98_0_82) = 0 & empty(v0) = v1)
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (48) with all_12_4_13, all_28_1_22, all_256_0_186, all_381_0_384 and discharging atoms set_difference(all_12_4_13, all_28_1_22) = all_381_0_384, set_difference(all_12_4_13, all_28_1_22) = all_256_0_186, yields:
% 124.60/69.89 | (884) all_381_0_384 = all_256_0_186
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (62) with all_12_3_12, all_12_4_13, all_28_1_22, all_256_1_187, all_268_1_209 and discharging atoms prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_268_1_209, prebool_difference(all_12_3_12, all_12_4_13, all_28_1_22) = all_256_1_187, yields:
% 124.60/69.89 | (885) all_268_1_209 = all_256_1_187
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (55) with all_12_4_13, all_12_5_14, all_381_0_384, all_12_1_10 and discharging atoms set_intersection2(all_12_4_13, all_12_5_14) = all_381_0_384, set_intersection2(all_12_4_13, all_12_5_14) = all_12_1_10, yields:
% 124.60/69.89 | (886) all_381_0_384 = all_12_1_10
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (17) with all_12_5_14, all_12_3_12, all_397_2_409, 0 and discharging atoms element(all_12_5_14, all_12_3_12) = all_397_2_409, element(all_12_5_14, all_12_3_12) = 0, yields:
% 124.60/69.89 | (887) all_397_2_409 = 0
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (17) with all_12_5_14, all_12_3_12, all_397_2_409, all_504_1_552 and discharging atoms element(all_12_5_14, all_12_3_12) = all_504_1_552, element(all_12_5_14, all_12_3_12) = all_397_2_409, yields:
% 124.60/69.89 | (888) all_504_1_552 = all_397_2_409
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (17) with all_12_5_14, all_12_3_12, all_317_0_287, all_504_1_552 and discharging atoms element(all_12_5_14, all_12_3_12) = all_504_1_552, element(all_12_5_14, all_12_3_12) = all_317_0_287, yields:
% 124.60/69.89 | (889) all_504_1_552 = all_317_0_287
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_534_2_609, all_536_2_613 and discharging atoms preboolean(all_12_3_12) = all_536_2_613, preboolean(all_12_3_12) = all_534_2_609, yields:
% 124.60/69.89 | (890) all_536_2_613 = all_534_2_609
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_528_2_597, all_530_2_601 and discharging atoms preboolean(all_12_3_12) = all_530_2_601, preboolean(all_12_3_12) = all_528_2_597, yields:
% 124.60/69.89 | (891) all_530_2_601 = all_528_2_597
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_526_2_593, all_534_2_609 and discharging atoms preboolean(all_12_3_12) = all_534_2_609, preboolean(all_12_3_12) = all_526_2_593, yields:
% 124.60/69.89 | (892) all_534_2_609 = all_526_2_593
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_510_2_565, all_526_2_593 and discharging atoms preboolean(all_12_3_12) = all_526_2_593, preboolean(all_12_3_12) = all_510_2_565, yields:
% 124.60/69.89 | (893) all_526_2_593 = all_510_2_565
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_508_2_561, all_528_2_597 and discharging atoms preboolean(all_12_3_12) = all_528_2_597, preboolean(all_12_3_12) = all_508_2_561, yields:
% 124.60/69.89 | (894) all_528_2_597 = all_508_2_561
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_500_2_545, all_510_2_565 and discharging atoms preboolean(all_12_3_12) = all_510_2_565, preboolean(all_12_3_12) = all_500_2_545, yields:
% 124.60/69.89 | (895) all_510_2_565 = all_500_2_545
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_498_2_541, all_500_2_545 and discharging atoms preboolean(all_12_3_12) = all_500_2_545, preboolean(all_12_3_12) = all_498_2_541, yields:
% 124.60/69.89 | (896) all_500_2_545 = all_498_2_541
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_496_2_537, all_508_2_561 and discharging atoms preboolean(all_12_3_12) = all_508_2_561, preboolean(all_12_3_12) = all_496_2_537, yields:
% 124.60/69.89 | (897) all_508_2_561 = all_496_2_537
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_444_2_473, all_506_2_557 and discharging atoms preboolean(all_12_3_12) = all_506_2_557, preboolean(all_12_3_12) = all_444_2_473, yields:
% 124.60/69.89 | (898) all_506_2_557 = all_444_2_473
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_425_2_447, all_444_2_473 and discharging atoms preboolean(all_12_3_12) = all_444_2_473, preboolean(all_12_3_12) = all_425_2_447, yields:
% 124.60/69.89 | (899) all_444_2_473 = all_425_2_447
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_423_2_443, all_427_2_451 and discharging atoms preboolean(all_12_3_12) = all_427_2_451, preboolean(all_12_3_12) = all_423_2_443, yields:
% 124.60/69.89 | (900) all_427_2_451 = all_423_2_443
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_379_2_382, all_498_2_541 and discharging atoms preboolean(all_12_3_12) = all_498_2_541, preboolean(all_12_3_12) = all_379_2_382, yields:
% 124.60/69.89 | (901) all_498_2_541 = all_379_2_382
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_329_2_311, all_425_2_447 and discharging atoms preboolean(all_12_3_12) = all_425_2_447, preboolean(all_12_3_12) = all_329_2_311, yields:
% 124.60/69.89 | (902) all_425_2_447 = all_329_2_311
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_325_2_303, all_327_2_307 and discharging atoms preboolean(all_12_3_12) = all_327_2_307, preboolean(all_12_3_12) = all_325_2_303, yields:
% 124.60/69.89 | (903) all_327_2_307 = all_325_2_303
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_311_2_281, all_325_2_303 and discharging atoms preboolean(all_12_3_12) = all_325_2_303, preboolean(all_12_3_12) = all_311_2_281, yields:
% 124.60/69.89 | (904) all_325_2_303 = all_311_2_281
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_309_2_277, all_311_2_281 and discharging atoms preboolean(all_12_3_12) = all_311_2_281, preboolean(all_12_3_12) = all_309_2_277, yields:
% 124.60/69.89 | (905) all_311_2_281 = all_309_2_277
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_307_2_273, all_309_2_277 and discharging atoms preboolean(all_12_3_12) = all_309_2_277, preboolean(all_12_3_12) = all_307_2_273, yields:
% 124.60/69.89 | (906) all_309_2_277 = all_307_2_273
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_305_2_269, all_307_2_273 and discharging atoms preboolean(all_12_3_12) = all_307_2_273, preboolean(all_12_3_12) = all_305_2_269, yields:
% 124.60/69.89 | (907) all_307_2_273 = all_305_2_269
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_303_2_265, all_496_2_537 and discharging atoms preboolean(all_12_3_12) = all_496_2_537, preboolean(all_12_3_12) = all_303_2_265, yields:
% 124.60/69.89 | (908) all_496_2_537 = all_303_2_265
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_303_2_265, all_423_2_443 and discharging atoms preboolean(all_12_3_12) = all_423_2_443, preboolean(all_12_3_12) = all_303_2_265, yields:
% 124.60/69.89 | (909) all_423_2_443 = all_303_2_265
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_301_2_261, all_305_2_269 and discharging atoms preboolean(all_12_3_12) = all_305_2_269, preboolean(all_12_3_12) = all_301_2_261, yields:
% 124.60/69.89 | (910) all_305_2_269 = all_301_2_261
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_299_2_257, all_301_2_261 and discharging atoms preboolean(all_12_3_12) = all_301_2_261, preboolean(all_12_3_12) = all_299_2_257, yields:
% 124.60/69.89 | (911) all_301_2_261 = all_299_2_257
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_297_2_253, all_299_2_257 and discharging atoms preboolean(all_12_3_12) = all_299_2_257, preboolean(all_12_3_12) = all_297_2_253, yields:
% 124.60/69.89 | (912) all_299_2_257 = all_297_2_253
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_295_2_249, all_297_2_253 and discharging atoms preboolean(all_12_3_12) = all_297_2_253, preboolean(all_12_3_12) = all_295_2_249, yields:
% 124.60/69.89 | (913) all_297_2_253 = all_295_2_249
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_284_2_242, all_530_2_601 and discharging atoms preboolean(all_12_3_12) = all_530_2_601, preboolean(all_12_3_12) = all_284_2_242, yields:
% 124.60/69.89 | (914) all_530_2_601 = all_284_2_242
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_282_2_238, all_295_2_249 and discharging atoms preboolean(all_12_3_12) = all_295_2_249, preboolean(all_12_3_12) = all_282_2_238, yields:
% 124.60/69.89 | (915) all_295_2_249 = all_282_2_238
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_280_2_234, all_496_2_537 and discharging atoms preboolean(all_12_3_12) = all_496_2_537, preboolean(all_12_3_12) = all_280_2_234, yields:
% 124.60/69.89 | (916) all_496_2_537 = all_280_2_234
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_280_2_234, all_282_2_238 and discharging atoms preboolean(all_12_3_12) = all_282_2_238, preboolean(all_12_3_12) = all_280_2_234, yields:
% 124.60/69.89 | (917) all_282_2_238 = all_280_2_234
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_278_2_230, all_427_2_451 and discharging atoms preboolean(all_12_3_12) = all_427_2_451, preboolean(all_12_3_12) = all_278_2_230, yields:
% 124.60/69.89 | (918) all_427_2_451 = all_278_2_230
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_276_2_226, all_496_2_537 and discharging atoms preboolean(all_12_3_12) = all_496_2_537, preboolean(all_12_3_12) = all_276_2_226, yields:
% 124.60/69.89 | (919) all_496_2_537 = all_276_2_226
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_274_2_222, all_323_2_299 and discharging atoms preboolean(all_12_3_12) = all_323_2_299, preboolean(all_12_3_12) = all_274_2_222, yields:
% 124.60/69.89 | (920) all_323_2_299 = all_274_2_222
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_272_2_218, all_276_2_226 and discharging atoms preboolean(all_12_3_12) = all_276_2_226, preboolean(all_12_3_12) = all_272_2_218, yields:
% 124.60/69.89 | (921) all_276_2_226 = all_272_2_218
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_270_2_214, all_323_2_299 and discharging atoms preboolean(all_12_3_12) = all_323_2_299, preboolean(all_12_3_12) = all_270_2_214, yields:
% 124.60/69.89 | (922) all_323_2_299 = all_270_2_214
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_268_2_210, all_272_2_218 and discharging atoms preboolean(all_12_3_12) = all_272_2_218, preboolean(all_12_3_12) = all_268_2_210, yields:
% 124.60/69.89 | (923) all_272_2_218 = all_268_2_210
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_266_2_206, all_268_2_210 and discharging atoms preboolean(all_12_3_12) = all_268_2_210, preboolean(all_12_3_12) = all_266_2_206, yields:
% 124.60/69.89 | (924) all_268_2_210 = all_266_2_206
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_262_2_198, all_270_2_214 and discharging atoms preboolean(all_12_3_12) = all_270_2_214, preboolean(all_12_3_12) = all_262_2_198, yields:
% 124.60/69.89 | (925) all_270_2_214 = all_262_2_198
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_260_2_194, all_329_2_311 and discharging atoms preboolean(all_12_3_12) = all_329_2_311, preboolean(all_12_3_12) = all_260_2_194, yields:
% 124.60/69.89 | (926) all_329_2_311 = all_260_2_194
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_260_2_194, all_266_2_206 and discharging atoms preboolean(all_12_3_12) = all_266_2_206, preboolean(all_12_3_12) = all_260_2_194, yields:
% 124.60/69.89 | (927) all_266_2_206 = all_260_2_194
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_256_2_188, all_506_2_557 and discharging atoms preboolean(all_12_3_12) = all_506_2_557, preboolean(all_12_3_12) = all_256_2_188, yields:
% 124.60/69.89 | (928) all_506_2_557 = all_256_2_188
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_254_2_184, all_329_2_311 and discharging atoms preboolean(all_12_3_12) = all_329_2_311, preboolean(all_12_3_12) = all_254_2_184, yields:
% 124.60/69.89 | (929) all_329_2_311 = all_254_2_184
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_252_2_180, all_254_2_184 and discharging atoms preboolean(all_12_3_12) = all_254_2_184, preboolean(all_12_3_12) = all_252_2_180, yields:
% 124.60/69.89 | (930) all_254_2_184 = all_252_2_180
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_250_2_176, all_252_2_180 and discharging atoms preboolean(all_12_3_12) = all_252_2_180, preboolean(all_12_3_12) = all_250_2_176, yields:
% 124.60/69.89 | (931) all_252_2_180 = all_250_2_176
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_248_2_172, all_250_2_176 and discharging atoms preboolean(all_12_3_12) = all_250_2_176, preboolean(all_12_3_12) = all_248_2_172, yields:
% 124.60/69.89 | (932) all_250_2_176 = all_248_2_172
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_246_2_168, all_248_2_172 and discharging atoms preboolean(all_12_3_12) = all_248_2_172, preboolean(all_12_3_12) = all_246_2_168, yields:
% 124.60/69.89 | (933) all_248_2_172 = all_246_2_168
% 124.60/69.89 |
% 124.60/69.89 | Instantiating formula (5) with all_12_3_12, all_244_2_164, all_379_2_382 and discharging atoms preboolean(all_12_3_12) = all_379_2_382, preboolean(all_12_3_12) = all_244_2_164, yields:
% 124.60/69.90 | (934) all_379_2_382 = all_244_2_164
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_244_2_164, all_262_2_198 and discharging atoms preboolean(all_12_3_12) = all_262_2_198, preboolean(all_12_3_12) = all_244_2_164, yields:
% 124.60/69.90 | (935) all_262_2_198 = all_244_2_164
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_242_2_160, all_246_2_168 and discharging atoms preboolean(all_12_3_12) = all_246_2_168, preboolean(all_12_3_12) = all_242_2_160, yields:
% 124.60/69.90 | (936) all_246_2_168 = all_242_2_160
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_240_2_156, all_242_2_160 and discharging atoms preboolean(all_12_3_12) = all_242_2_160, preboolean(all_12_3_12) = all_240_2_156, yields:
% 124.60/69.90 | (937) all_242_2_160 = all_240_2_156
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_238_2_152, all_240_2_156 and discharging atoms preboolean(all_12_3_12) = all_240_2_156, preboolean(all_12_3_12) = all_238_2_152, yields:
% 124.60/69.90 | (938) all_240_2_156 = all_238_2_152
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_236_2_148, all_244_2_164 and discharging atoms preboolean(all_12_3_12) = all_244_2_164, preboolean(all_12_3_12) = all_236_2_148, yields:
% 124.60/69.90 | (939) all_244_2_164 = all_236_2_148
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_236_2_148, all_238_2_152 and discharging atoms preboolean(all_12_3_12) = all_238_2_152, preboolean(all_12_3_12) = all_236_2_148, yields:
% 124.60/69.90 | (940) all_238_2_152 = all_236_2_148
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_234_2_144, all_323_2_299 and discharging atoms preboolean(all_12_3_12) = all_323_2_299, preboolean(all_12_3_12) = all_234_2_144, yields:
% 124.60/69.90 | (941) all_323_2_299 = all_234_2_144
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_232_2_140, all_327_2_307 and discharging atoms preboolean(all_12_3_12) = all_327_2_307, preboolean(all_12_3_12) = all_232_2_140, yields:
% 124.60/69.90 | (942) all_327_2_307 = all_232_2_140
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_230_2_136, all_264_2_202 and discharging atoms preboolean(all_12_3_12) = all_264_2_202, preboolean(all_12_3_12) = all_230_2_136, yields:
% 124.60/69.90 | (943) all_264_2_202 = all_230_2_136
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_230_2_136, all_244_2_164 and discharging atoms preboolean(all_12_3_12) = all_244_2_164, preboolean(all_12_3_12) = all_230_2_136, yields:
% 124.60/69.90 | (944) all_244_2_164 = all_230_2_136
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_228_2_132, all_536_2_613 and discharging atoms preboolean(all_12_3_12) = all_536_2_613, preboolean(all_12_3_12) = all_228_2_132, yields:
% 124.60/69.90 | (945) all_536_2_613 = all_228_2_132
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_226_2_128, all_230_2_136 and discharging atoms preboolean(all_12_3_12) = all_230_2_136, preboolean(all_12_3_12) = all_226_2_128, yields:
% 124.60/69.90 | (946) all_230_2_136 = all_226_2_128
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_224_2_124, all_504_2_553 and discharging atoms preboolean(all_12_3_12) = all_504_2_553, preboolean(all_12_3_12) = all_224_2_124, yields:
% 124.60/69.90 | (947) all_504_2_553 = all_224_2_124
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_222_2_120, all_226_2_128 and discharging atoms preboolean(all_12_3_12) = all_226_2_128, preboolean(all_12_3_12) = all_222_2_120, yields:
% 124.60/69.90 | (948) all_226_2_128 = all_222_2_120
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_222_2_120, all_224_2_124 and discharging atoms preboolean(all_12_3_12) = all_224_2_124, preboolean(all_12_3_12) = all_222_2_120, yields:
% 124.60/69.90 | (949) all_224_2_124 = all_222_2_120
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_218_2_114, all_224_2_124 and discharging atoms preboolean(all_12_3_12) = all_224_2_124, preboolean(all_12_3_12) = all_218_2_114, yields:
% 124.60/69.90 | (950) all_224_2_124 = all_218_2_114
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_216_2_110, all_264_2_202 and discharging atoms preboolean(all_12_3_12) = all_264_2_202, preboolean(all_12_3_12) = all_216_2_110, yields:
% 124.60/69.90 | (951) all_264_2_202 = all_216_2_110
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_214_2_106, 0 and discharging atoms preboolean(all_12_3_12) = all_214_2_106, preboolean(all_12_3_12) = 0, yields:
% 124.60/69.90 | (952) all_214_2_106 = 0
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_214_2_106, all_222_2_120 and discharging atoms preboolean(all_12_3_12) = all_222_2_120, preboolean(all_12_3_12) = all_214_2_106, yields:
% 124.60/69.90 | (953) all_222_2_120 = all_214_2_106
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_212_2_102, all_504_2_553 and discharging atoms preboolean(all_12_3_12) = all_504_2_553, preboolean(all_12_3_12) = all_212_2_102, yields:
% 124.60/69.90 | (954) all_504_2_553 = all_212_2_102
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (5) with all_12_3_12, all_210_2_98, all_214_2_106 and discharging atoms preboolean(all_12_3_12) = all_214_2_106, preboolean(all_12_3_12) = all_210_2_98, yields:
% 124.60/69.90 | (955) all_214_2_106 = all_210_2_98
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_530_3_602, all_536_3_614 and discharging atoms empty(all_12_3_12) = all_536_3_614, empty(all_12_3_12) = all_530_3_602, yields:
% 124.60/69.90 | (956) all_536_3_614 = all_530_3_602
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_526_3_594, all_530_3_602 and discharging atoms empty(all_12_3_12) = all_530_3_602, empty(all_12_3_12) = all_526_3_594, yields:
% 124.60/69.90 | (957) all_530_3_602 = all_526_3_594
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_506_3_558, all_508_3_562 and discharging atoms empty(all_12_3_12) = all_508_3_562, empty(all_12_3_12) = all_506_3_558, yields:
% 124.60/69.90 | (958) all_508_3_562 = all_506_3_558
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_444_3_474, all_524_1_590 and discharging atoms empty(all_12_3_12) = all_524_1_590, empty(all_12_3_12) = all_444_3_474, yields:
% 124.60/69.90 | (959) all_524_1_590 = all_444_3_474
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_427_3_452, all_444_3_474 and discharging atoms empty(all_12_3_12) = all_444_3_474, empty(all_12_3_12) = all_427_3_452, yields:
% 124.60/69.90 | (960) all_444_3_474 = all_427_3_452
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_425_3_448, all_506_3_558 and discharging atoms empty(all_12_3_12) = all_506_3_558, empty(all_12_3_12) = all_425_3_448, yields:
% 124.60/69.90 | (961) all_506_3_558 = all_425_3_448
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_425_3_448, all_504_3_554 and discharging atoms empty(all_12_3_12) = all_504_3_554, empty(all_12_3_12) = all_425_3_448, yields:
% 124.60/69.90 | (962) all_504_3_554 = all_425_3_448
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_423_3_444, all_510_3_566 and discharging atoms empty(all_12_3_12) = all_510_3_566, empty(all_12_3_12) = all_423_3_444, yields:
% 124.60/69.90 | (963) all_510_3_566 = all_423_3_444
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_417_0_435, all_526_3_594 and discharging atoms empty(all_12_3_12) = all_526_3_594, empty(all_12_3_12) = all_417_0_435, yields:
% 124.60/69.90 | (964) all_526_3_594 = all_417_0_435
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_397_3_410, all_496_3_538 and discharging atoms empty(all_12_3_12) = all_496_3_538, empty(all_12_3_12) = all_397_3_410, yields:
% 124.60/69.90 | (965) all_496_3_538 = all_397_3_410
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_379_3_383, all_534_3_610 and discharging atoms empty(all_12_3_12) = all_534_3_610, empty(all_12_3_12) = all_379_3_383, yields:
% 124.60/69.90 | (966) all_534_3_610 = all_379_3_383
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_327_3_308, all_423_3_444 and discharging atoms empty(all_12_3_12) = all_423_3_444, empty(all_12_3_12) = all_327_3_308, yields:
% 124.60/69.90 | (967) all_423_3_444 = all_327_3_308
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_327_3_308, all_329_3_312 and discharging atoms empty(all_12_3_12) = all_329_3_312, empty(all_12_3_12) = all_327_3_308, yields:
% 124.60/69.90 | (968) all_329_3_312 = all_327_3_308
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_325_3_304, all_417_0_435 and discharging atoms empty(all_12_3_12) = all_417_0_435, empty(all_12_3_12) = all_325_3_304, yields:
% 124.60/69.90 | (969) all_417_0_435 = all_325_3_304
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_323_3_300, all_504_3_554 and discharging atoms empty(all_12_3_12) = all_504_3_554, empty(all_12_3_12) = all_323_3_300, yields:
% 124.60/69.90 | (970) all_504_3_554 = all_323_3_300
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_311_3_282, all_504_3_554 and discharging atoms empty(all_12_3_12) = all_504_3_554, empty(all_12_3_12) = all_311_3_282, yields:
% 124.60/69.90 | (971) all_504_3_554 = all_311_3_282
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_309_3_278, all_311_3_282 and discharging atoms empty(all_12_3_12) = all_311_3_282, empty(all_12_3_12) = all_309_3_278, yields:
% 124.60/69.90 | (972) all_311_3_282 = all_309_3_278
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_307_3_274, all_309_3_278 and discharging atoms empty(all_12_3_12) = all_309_3_278, empty(all_12_3_12) = all_307_3_274, yields:
% 124.60/69.90 | (973) all_309_3_278 = all_307_3_274
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_305_3_270, all_498_3_542 and discharging atoms empty(all_12_3_12) = all_498_3_542, empty(all_12_3_12) = all_305_3_270, yields:
% 124.60/69.90 | (974) all_498_3_542 = all_305_3_270
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_305_3_270, all_397_3_410 and discharging atoms empty(all_12_3_12) = all_397_3_410, empty(all_12_3_12) = all_305_3_270, yields:
% 124.60/69.90 | (975) all_397_3_410 = all_305_3_270
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_303_3_266, all_307_3_274 and discharging atoms empty(all_12_3_12) = all_307_3_274, empty(all_12_3_12) = all_303_3_266, yields:
% 124.60/69.90 | (976) all_307_3_274 = all_303_3_266
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_301_3_262, all_329_3_312 and discharging atoms empty(all_12_3_12) = all_329_3_312, empty(all_12_3_12) = all_301_3_262, yields:
% 124.60/69.90 | (977) all_329_3_312 = all_301_3_262
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_299_3_258, all_405_3_418 and discharging atoms empty(all_12_3_12) = all_405_3_418, empty(all_12_3_12) = all_299_3_258, yields:
% 124.60/69.90 | (978) all_405_3_418 = all_299_3_258
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_297_3_254, all_427_3_452 and discharging atoms empty(all_12_3_12) = all_427_3_452, empty(all_12_3_12) = all_297_3_254, yields:
% 124.60/69.90 | (979) all_427_3_452 = all_297_3_254
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_297_3_254, all_303_3_266 and discharging atoms empty(all_12_3_12) = all_303_3_266, empty(all_12_3_12) = all_297_3_254, yields:
% 124.60/69.90 | (980) all_303_3_266 = all_297_3_254
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_295_3_250, all_524_1_590 and discharging atoms empty(all_12_3_12) = all_524_1_590, empty(all_12_3_12) = all_295_3_250, yields:
% 124.60/69.90 | (981) all_524_1_590 = all_295_3_250
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_284_3_243, all_508_3_562 and discharging atoms empty(all_12_3_12) = all_508_3_562, empty(all_12_3_12) = all_284_3_243, yields:
% 124.60/69.90 | (982) all_508_3_562 = all_284_3_243
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_282_3_239, all_325_3_304 and discharging atoms empty(all_12_3_12) = all_325_3_304, empty(all_12_3_12) = all_282_3_239, yields:
% 124.60/69.90 | (983) all_325_3_304 = all_282_3_239
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_280_3_235, all_299_3_258 and discharging atoms empty(all_12_3_12) = all_299_3_258, empty(all_12_3_12) = all_280_3_235, yields:
% 124.60/69.90 | (984) all_299_3_258 = all_280_3_235
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_278_3_231, all_297_3_254 and discharging atoms empty(all_12_3_12) = all_297_3_254, empty(all_12_3_12) = all_278_3_231, yields:
% 124.60/69.90 | (985) all_297_3_254 = all_278_3_231
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_276_3_227, all_405_3_418 and discharging atoms empty(all_12_3_12) = all_405_3_418, empty(all_12_3_12) = all_276_3_227, yields:
% 124.60/69.90 | (986) all_405_3_418 = all_276_3_227
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_274_3_223, all_299_3_258 and discharging atoms empty(all_12_3_12) = all_299_3_258, empty(all_12_3_12) = all_274_3_223, yields:
% 124.60/69.90 | (987) all_299_3_258 = all_274_3_223
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_274_3_223, all_282_3_239 and discharging atoms empty(all_12_3_12) = all_282_3_239, empty(all_12_3_12) = all_274_3_223, yields:
% 124.60/69.90 | (988) all_282_3_239 = all_274_3_223
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_272_3_219, all_280_3_235 and discharging atoms empty(all_12_3_12) = all_280_3_235, empty(all_12_3_12) = all_272_3_219, yields:
% 124.60/69.90 | (989) all_280_3_235 = all_272_3_219
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_270_3_215, all_278_3_231 and discharging atoms empty(all_12_3_12) = all_278_3_231, empty(all_12_3_12) = all_270_3_215, yields:
% 124.60/69.90 | (990) all_278_3_231 = all_270_3_215
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_268_3_211, all_299_3_258 and discharging atoms empty(all_12_3_12) = all_299_3_258, empty(all_12_3_12) = all_268_3_211, yields:
% 124.60/69.90 | (991) all_299_3_258 = all_268_3_211
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_266_3_207, all_270_3_215 and discharging atoms empty(all_12_3_12) = all_270_3_215, empty(all_12_3_12) = all_266_3_207, yields:
% 124.60/69.90 | (992) all_270_3_215 = all_266_3_207
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_264_3_203, all_268_3_211 and discharging atoms empty(all_12_3_12) = all_268_3_211, empty(all_12_3_12) = all_264_3_203, yields:
% 124.60/69.90 | (993) all_268_3_211 = all_264_3_203
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_262_3_199, all_264_3_203 and discharging atoms empty(all_12_3_12) = all_264_3_203, empty(all_12_3_12) = all_262_3_199, yields:
% 124.60/69.90 | (994) all_264_3_203 = all_262_3_199
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_260_3_195, all_266_3_207 and discharging atoms empty(all_12_3_12) = all_266_3_207, empty(all_12_3_12) = all_260_3_195, yields:
% 124.60/69.90 | (995) all_266_3_207 = all_260_3_195
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_258_1_191, all_262_3_199 and discharging atoms empty(all_12_3_12) = all_262_3_199, empty(all_12_3_12) = all_258_1_191, yields:
% 124.60/69.90 | (996) all_262_3_199 = all_258_1_191
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_256_3_189, all_258_1_191 and discharging atoms empty(all_12_3_12) = all_258_1_191, empty(all_12_3_12) = all_256_3_189, yields:
% 124.60/69.90 | (997) all_258_1_191 = all_256_3_189
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_254_3_185, all_329_3_312 and discharging atoms empty(all_12_3_12) = all_329_3_312, empty(all_12_3_12) = all_254_3_185, yields:
% 124.60/69.90 | (998) all_329_3_312 = all_254_3_185
% 124.60/69.90 |
% 124.60/69.90 | Instantiating formula (19) with all_12_3_12, all_254_3_185, all_256_3_189 and discharging atoms empty(all_12_3_12) = all_256_3_189, empty(all_12_3_12) = all_254_3_185, yields:
% 124.60/69.90 | (999) all_256_3_189 = all_254_3_185
% 124.60/69.90 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_252_3_181, all_536_3_614 and discharging atoms empty(all_12_3_12) = all_536_3_614, empty(all_12_3_12) = all_252_3_181, yields:
% 124.60/69.91 | (1000) all_536_3_614 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_250_3_177, all_260_3_195 and discharging atoms empty(all_12_3_12) = all_260_3_195, empty(all_12_3_12) = all_250_3_177, yields:
% 124.60/69.91 | (1001) all_260_3_195 = all_250_3_177
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_248_3_173, all_250_3_177 and discharging atoms empty(all_12_3_12) = all_250_3_177, empty(all_12_3_12) = all_248_3_173, yields:
% 124.60/69.91 | (1002) all_250_3_177 = all_248_3_173
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_246_3_169, all_248_3_173 and discharging atoms empty(all_12_3_12) = all_248_3_173, empty(all_12_3_12) = all_246_3_169, yields:
% 124.60/69.91 | (1003) all_248_3_173 = all_246_3_169
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_244_3_165, all_496_3_538 and discharging atoms empty(all_12_3_12) = all_496_3_538, empty(all_12_3_12) = all_244_3_165, yields:
% 124.60/69.91 | (1004) all_496_3_538 = all_244_3_165
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_244_3_165, all_246_3_169 and discharging atoms empty(all_12_3_12) = all_246_3_169, empty(all_12_3_12) = all_244_3_165, yields:
% 124.60/69.91 | (1005) all_246_3_169 = all_244_3_165
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_242_3_161, all_256_3_189 and discharging atoms empty(all_12_3_12) = all_256_3_189, empty(all_12_3_12) = all_242_3_161, yields:
% 124.60/69.91 | (1006) all_256_3_189 = all_242_3_161
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_240_3_157, all_496_3_538 and discharging atoms empty(all_12_3_12) = all_496_3_538, empty(all_12_3_12) = all_240_3_157, yields:
% 124.60/69.91 | (1007) all_496_3_538 = all_240_3_157
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_238_3_153, all_397_3_410 and discharging atoms empty(all_12_3_12) = all_397_3_410, empty(all_12_3_12) = all_238_3_153, yields:
% 124.60/69.91 | (1008) all_397_3_410 = all_238_3_153
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_236_3_149, all_498_3_542 and discharging atoms empty(all_12_3_12) = all_498_3_542, empty(all_12_3_12) = all_236_3_149, yields:
% 124.60/69.91 | (1009) all_498_3_542 = all_236_3_149
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_234_3_145, all_305_3_270 and discharging atoms empty(all_12_3_12) = all_305_3_270, empty(all_12_3_12) = all_234_3_145, yields:
% 124.60/69.91 | (1010) all_305_3_270 = all_234_3_145
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_234_3_145, all_242_3_161 and discharging atoms empty(all_12_3_12) = all_242_3_161, empty(all_12_3_12) = all_234_3_145, yields:
% 124.60/69.91 | (1011) all_242_3_161 = all_234_3_145
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_232_3_141, all_427_3_452 and discharging atoms empty(all_12_3_12) = all_427_3_452, empty(all_12_3_12) = all_232_3_141, yields:
% 124.60/69.91 | (1012) all_427_3_452 = all_232_3_141
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_230_3_137, all_500_3_546 and discharging atoms empty(all_12_3_12) = all_500_3_546, empty(all_12_3_12) = all_230_3_137, yields:
% 124.60/69.91 | (1013) all_500_3_546 = all_230_3_137
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_230_3_137, all_379_3_383 and discharging atoms empty(all_12_3_12) = all_379_3_383, empty(all_12_3_12) = all_230_3_137, yields:
% 124.60/69.91 | (1014) all_379_3_383 = all_230_3_137
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_230_3_137, all_234_3_145 and discharging atoms empty(all_12_3_12) = all_234_3_145, empty(all_12_3_12) = all_230_3_137, yields:
% 124.60/69.91 | (1015) all_234_3_145 = all_230_3_137
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_228_3_133, all_510_3_566 and discharging atoms empty(all_12_3_12) = all_510_3_566, empty(all_12_3_12) = all_228_3_133, yields:
% 124.60/69.91 | (1016) all_510_3_566 = all_228_3_133
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_226_3_129, all_500_3_546 and discharging atoms empty(all_12_3_12) = all_500_3_546, empty(all_12_3_12) = all_226_3_129, yields:
% 124.60/69.91 | (1017) all_500_3_546 = all_226_3_129
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_224_3_125, all_500_3_546 and discharging atoms empty(all_12_3_12) = all_500_3_546, empty(all_12_3_12) = all_224_3_125, yields:
% 124.60/69.91 | (1018) all_500_3_546 = all_224_3_125
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_222_3_121, all_224_3_125 and discharging atoms empty(all_12_3_12) = all_224_3_125, empty(all_12_3_12) = all_222_3_121, yields:
% 124.60/69.91 | (1019) all_224_3_125 = all_222_3_121
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_220_1_117, all_222_3_121 and discharging atoms empty(all_12_3_12) = all_222_3_121, empty(all_12_3_12) = all_220_1_117, yields:
% 124.60/69.91 | (1020) all_222_3_121 = all_220_1_117
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_218_3_115, all_534_3_610 and discharging atoms empty(all_12_3_12) = all_534_3_610, empty(all_12_3_12) = all_218_3_115, yields:
% 124.60/69.91 | (1021) all_534_3_610 = all_218_3_115
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_216_3_111, all_12_2_11 and discharging atoms empty(all_12_3_12) = all_216_3_111, empty(all_12_3_12) = all_12_2_11, yields:
% 124.60/69.91 | (1022) all_216_3_111 = all_12_2_11
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_216_3_111, all_220_1_117 and discharging atoms empty(all_12_3_12) = all_220_1_117, empty(all_12_3_12) = all_216_3_111, yields:
% 124.60/69.91 | (1023) all_220_1_117 = all_216_3_111
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_214_3_107, all_220_1_117 and discharging atoms empty(all_12_3_12) = all_220_1_117, empty(all_12_3_12) = all_214_3_107, yields:
% 124.60/69.91 | (1024) all_220_1_117 = all_214_3_107
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_212_3_103, all_216_3_111 and discharging atoms empty(all_12_3_12) = all_216_3_111, empty(all_12_3_12) = all_212_3_103, yields:
% 124.60/69.91 | (1025) all_216_3_111 = all_212_3_103
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_210_3_99, all_528_3_598 and discharging atoms empty(all_12_3_12) = all_528_3_598, empty(all_12_3_12) = all_210_3_99, yields:
% 124.60/69.91 | (1026) all_528_3_598 = all_210_3_99
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_210_3_99, all_212_3_103 and discharging atoms empty(all_12_3_12) = all_212_3_103, empty(all_12_3_12) = all_210_3_99, yields:
% 124.60/69.91 | (1027) all_212_3_103 = all_210_3_99
% 124.60/69.91 |
% 124.60/69.91 | Instantiating formula (19) with all_12_3_12, all_208_1_95, all_528_3_598 and discharging atoms empty(all_12_3_12) = all_528_3_598, empty(all_12_3_12) = all_208_1_95, yields:
% 124.60/69.91 | (1028) all_528_3_598 = all_208_1_95
% 124.60/69.91 |
% 124.60/69.91 | Using (710) and (861) yields:
% 124.60/69.91 | (1029) ~ (all_317_0_287 = all_12_0_9)
% 124.60/69.91 |
% 124.60/69.91 | Using (427) and (864) yields:
% 124.60/69.91 | (1030) ~ (all_208_1_95 = 0)
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (890,945) yields a new equation:
% 124.60/69.91 | (1031) all_534_2_609 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1031 yields:
% 124.60/69.91 | (1032) all_534_2_609 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (956,1000) yields a new equation:
% 124.60/69.91 | (1033) all_530_3_602 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1033 yields:
% 124.60/69.91 | (1034) all_530_3_602 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (892,1032) yields a new equation:
% 124.60/69.91 | (1035) all_526_2_593 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1035 yields:
% 124.60/69.91 | (1036) all_526_2_593 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (966,1021) yields a new equation:
% 124.60/69.91 | (1037) all_379_3_383 = all_218_3_115
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1037 yields:
% 124.60/69.91 | (1038) all_379_3_383 = all_218_3_115
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (891,914) yields a new equation:
% 124.60/69.91 | (1039) all_528_2_597 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1039 yields:
% 124.60/69.91 | (1040) all_528_2_597 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (957,1034) yields a new equation:
% 124.60/69.91 | (1041) all_526_3_594 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1041 yields:
% 124.60/69.91 | (1042) all_526_3_594 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (894,1040) yields a new equation:
% 124.60/69.91 | (1043) all_508_2_561 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1043 yields:
% 124.60/69.91 | (1044) all_508_2_561 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (1026,1028) yields a new equation:
% 124.60/69.91 | (1045) all_210_3_99 = all_208_1_95
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1045 yields:
% 124.60/69.91 | (1046) all_210_3_99 = all_208_1_95
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (893,1036) yields a new equation:
% 124.60/69.91 | (1047) all_510_2_565 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1047 yields:
% 124.60/69.91 | (1048) all_510_2_565 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (964,1042) yields a new equation:
% 124.60/69.91 | (1049) all_417_0_435 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1049 yields:
% 124.60/69.91 | (1050) all_417_0_435 = all_252_3_181
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (959,981) yields a new equation:
% 124.60/69.91 | (1051) all_444_3_474 = all_295_3_250
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1051 yields:
% 124.60/69.91 | (1052) all_444_3_474 = all_295_3_250
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (895,1048) yields a new equation:
% 124.60/69.91 | (1053) all_500_2_545 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1053 yields:
% 124.60/69.91 | (1054) all_500_2_545 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (963,1016) yields a new equation:
% 124.60/69.91 | (1055) all_423_3_444 = all_228_3_133
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1055 yields:
% 124.60/69.91 | (1056) all_423_3_444 = all_228_3_133
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (897,1044) yields a new equation:
% 124.60/69.91 | (1057) all_496_2_537 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1057 yields:
% 124.60/69.91 | (1058) all_496_2_537 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (958,982) yields a new equation:
% 124.60/69.91 | (1059) all_506_3_558 = all_284_3_243
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1059 yields:
% 124.60/69.91 | (1060) all_506_3_558 = all_284_3_243
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (898,928) yields a new equation:
% 124.60/69.91 | (1061) all_444_2_473 = all_256_2_188
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1061 yields:
% 124.60/69.91 | (1062) all_444_2_473 = all_256_2_188
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (961,1060) yields a new equation:
% 124.60/69.91 | (1063) all_425_3_448 = all_284_3_243
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1063 yields:
% 124.60/69.91 | (1064) all_425_3_448 = all_284_3_243
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (888,889) yields a new equation:
% 124.60/69.91 | (1065) all_397_2_409 = all_317_0_287
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1065 yields:
% 124.60/69.91 | (1066) all_397_2_409 = all_317_0_287
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (947,954) yields a new equation:
% 124.60/69.91 | (1067) all_224_2_124 = all_212_2_102
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1067 yields:
% 124.60/69.91 | (1068) all_224_2_124 = all_212_2_102
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (971,970) yields a new equation:
% 124.60/69.91 | (1069) all_323_3_300 = all_311_3_282
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (962,970) yields a new equation:
% 124.60/69.91 | (1070) all_425_3_448 = all_323_3_300
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1070 yields:
% 124.60/69.91 | (1071) all_425_3_448 = all_323_3_300
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (896,1054) yields a new equation:
% 124.60/69.91 | (1072) all_498_2_541 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1072 yields:
% 124.60/69.91 | (1073) all_498_2_541 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (1013,1017) yields a new equation:
% 124.60/69.91 | (1074) all_230_3_137 = all_226_3_129
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1074 yields:
% 124.60/69.91 | (1075) all_230_3_137 = all_226_3_129
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (1018,1017) yields a new equation:
% 124.60/69.91 | (1076) all_226_3_129 = all_224_3_125
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (901,1073) yields a new equation:
% 124.60/69.91 | (1077) all_379_2_382 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1077 yields:
% 124.60/69.91 | (1078) all_379_2_382 = all_228_2_132
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (974,1009) yields a new equation:
% 124.60/69.91 | (1079) all_305_3_270 = all_236_3_149
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1079 yields:
% 124.60/69.91 | (1080) all_305_3_270 = all_236_3_149
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (916,1058) yields a new equation:
% 124.60/69.91 | (1081) all_284_2_242 = all_280_2_234
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (919,1058) yields a new equation:
% 124.60/69.91 | (1082) all_284_2_242 = all_276_2_226
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (908,1058) yields a new equation:
% 124.60/69.91 | (1083) all_303_2_265 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1083 yields:
% 124.60/69.91 | (1084) all_303_2_265 = all_284_2_242
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (1004,1007) yields a new equation:
% 124.60/69.91 | (1085) all_244_3_165 = all_240_3_157
% 124.60/69.91 |
% 124.60/69.91 | Simplifying 1085 yields:
% 124.60/69.91 | (1086) all_244_3_165 = all_240_3_157
% 124.60/69.91 |
% 124.60/69.91 | Combining equations (965,1007) yields a new equation:
% 124.60/69.91 | (1087) all_397_3_410 = all_240_3_157
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1087 yields:
% 124.60/69.92 | (1088) all_397_3_410 = all_240_3_157
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (899,1062) yields a new equation:
% 124.60/69.92 | (1089) all_425_2_447 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1089 yields:
% 124.60/69.92 | (1090) all_425_2_447 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (960,1052) yields a new equation:
% 124.60/69.92 | (1091) all_427_3_452 = all_295_3_250
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1091 yields:
% 124.60/69.92 | (1092) all_427_3_452 = all_295_3_250
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (900,918) yields a new equation:
% 124.60/69.92 | (1093) all_423_2_443 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1093 yields:
% 124.60/69.92 | (1094) all_423_2_443 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (979,1092) yields a new equation:
% 124.60/69.92 | (1095) all_297_3_254 = all_295_3_250
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1095 yields:
% 124.60/69.92 | (1096) all_297_3_254 = all_295_3_250
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1012,1092) yields a new equation:
% 124.60/69.92 | (1097) all_295_3_250 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (902,1090) yields a new equation:
% 124.60/69.92 | (1098) all_329_2_311 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1098 yields:
% 124.60/69.92 | (1099) all_329_2_311 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1071,1064) yields a new equation:
% 124.60/69.92 | (1100) all_323_3_300 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1100 yields:
% 124.60/69.92 | (1101) all_323_3_300 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (909,1094) yields a new equation:
% 124.60/69.92 | (1102) all_303_2_265 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1102 yields:
% 124.60/69.92 | (1103) all_303_2_265 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (967,1056) yields a new equation:
% 124.60/69.92 | (1104) all_327_3_308 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1104 yields:
% 124.60/69.92 | (1105) all_327_3_308 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (969,1050) yields a new equation:
% 124.60/69.92 | (1106) all_325_3_304 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1106 yields:
% 124.60/69.92 | (1107) all_325_3_304 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (978,986) yields a new equation:
% 124.60/69.92 | (1108) all_299_3_258 = all_276_3_227
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1108 yields:
% 124.60/69.92 | (1109) all_299_3_258 = all_276_3_227
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (887,1066) yields a new equation:
% 124.60/69.92 | (1110) all_317_0_287 = 0
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (975,1008) yields a new equation:
% 124.60/69.92 | (1111) all_305_3_270 = all_238_3_153
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1111 yields:
% 124.60/69.92 | (1112) all_305_3_270 = all_238_3_153
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1088,1008) yields a new equation:
% 124.60/69.92 | (1113) all_240_3_157 = all_238_3_153
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1113 yields:
% 124.60/69.92 | (1114) all_240_3_157 = all_238_3_153
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (884,886) yields a new equation:
% 124.60/69.92 | (1115) all_256_0_186 = all_12_1_10
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1115 yields:
% 124.60/69.92 | (1116) all_256_0_186 = all_12_1_10
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (934,1078) yields a new equation:
% 124.60/69.92 | (1117) all_244_2_164 = all_228_2_132
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1117 yields:
% 124.60/69.92 | (1118) all_244_2_164 = all_228_2_132
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1014,1038) yields a new equation:
% 124.60/69.92 | (1119) all_230_3_137 = all_218_3_115
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1119 yields:
% 124.60/69.92 | (1120) all_230_3_137 = all_218_3_115
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (926,1099) yields a new equation:
% 124.60/69.92 | (1121) all_260_2_194 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1121 yields:
% 124.60/69.92 | (1122) all_260_2_194 = all_256_2_188
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (929,1099) yields a new equation:
% 124.60/69.92 | (1123) all_256_2_188 = all_254_2_184
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (998,977) yields a new equation:
% 124.60/69.92 | (1124) all_301_3_262 = all_254_3_185
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (968,977) yields a new equation:
% 124.60/69.92 | (1125) all_327_3_308 = all_301_3_262
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1125 yields:
% 124.60/69.92 | (1126) all_327_3_308 = all_301_3_262
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (903,942) yields a new equation:
% 124.60/69.92 | (1127) all_325_2_303 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1127 yields:
% 124.60/69.92 | (1128) all_325_2_303 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1126,1105) yields a new equation:
% 124.60/69.92 | (1129) all_301_3_262 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1129 yields:
% 124.60/69.92 | (1130) all_301_3_262 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (904,1128) yields a new equation:
% 124.60/69.92 | (1131) all_311_2_281 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1131 yields:
% 124.60/69.92 | (1132) all_311_2_281 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (983,1107) yields a new equation:
% 124.60/69.92 | (1133) all_282_3_239 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1133 yields:
% 124.60/69.92 | (1134) all_282_3_239 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (922,920) yields a new equation:
% 124.60/69.92 | (1135) all_274_2_222 = all_270_2_214
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (941,920) yields a new equation:
% 124.60/69.92 | (1136) all_274_2_222 = all_234_2_144
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1069,1101) yields a new equation:
% 124.60/69.92 | (1137) all_311_3_282 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1137 yields:
% 124.60/69.92 | (1138) all_311_3_282 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (905,1132) yields a new equation:
% 124.60/69.92 | (1139) all_309_2_277 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1139 yields:
% 124.60/69.92 | (1140) all_309_2_277 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (972,1138) yields a new equation:
% 124.60/69.92 | (1141) all_309_3_278 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1141 yields:
% 124.60/69.92 | (1142) all_309_3_278 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (906,1140) yields a new equation:
% 124.60/69.92 | (1143) all_307_2_273 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1143 yields:
% 124.60/69.92 | (1144) all_307_2_273 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (973,1142) yields a new equation:
% 124.60/69.92 | (1145) all_307_3_274 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1145 yields:
% 124.60/69.92 | (1146) all_307_3_274 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (907,1144) yields a new equation:
% 124.60/69.92 | (1147) all_305_2_269 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1147 yields:
% 124.60/69.92 | (1148) all_305_2_269 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (976,1146) yields a new equation:
% 124.60/69.92 | (1149) all_303_3_266 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1149 yields:
% 124.60/69.92 | (1150) all_303_3_266 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (910,1148) yields a new equation:
% 124.60/69.92 | (1151) all_301_2_261 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1151 yields:
% 124.60/69.92 | (1152) all_301_2_261 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1010,1080) yields a new equation:
% 124.60/69.92 | (1153) all_236_3_149 = all_234_3_145
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1112,1080) yields a new equation:
% 124.60/69.92 | (1154) all_238_3_153 = all_236_3_149
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1154 yields:
% 124.60/69.92 | (1155) all_238_3_153 = all_236_3_149
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1084,1103) yields a new equation:
% 124.60/69.92 | (1156) all_284_2_242 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1156 yields:
% 124.60/69.92 | (1157) all_284_2_242 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (980,1150) yields a new equation:
% 124.60/69.92 | (1158) all_297_3_254 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1158 yields:
% 124.60/69.92 | (1159) all_297_3_254 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (911,1152) yields a new equation:
% 124.60/69.92 | (1160) all_299_2_257 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1160 yields:
% 124.60/69.92 | (1161) all_299_2_257 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1124,1130) yields a new equation:
% 124.60/69.92 | (1162) all_254_3_185 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1162 yields:
% 124.60/69.92 | (1163) all_254_3_185 = all_228_3_133
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (912,1161) yields a new equation:
% 124.60/69.92 | (1164) all_297_2_253 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1164 yields:
% 124.60/69.92 | (1165) all_297_2_253 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (991,1109) yields a new equation:
% 124.60/69.92 | (1166) all_276_3_227 = all_268_3_211
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (984,1109) yields a new equation:
% 124.60/69.92 | (1167) all_280_3_235 = all_276_3_227
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1167 yields:
% 124.60/69.92 | (1168) all_280_3_235 = all_276_3_227
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (987,1109) yields a new equation:
% 124.60/69.92 | (1169) all_276_3_227 = all_274_3_223
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (913,1165) yields a new equation:
% 124.60/69.92 | (1170) all_295_2_249 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1170 yields:
% 124.60/69.92 | (1171) all_295_2_249 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (985,1159) yields a new equation:
% 124.60/69.92 | (1172) all_284_3_243 = all_278_3_231
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1096,1159) yields a new equation:
% 124.60/69.92 | (1173) all_295_3_250 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1173 yields:
% 124.60/69.92 | (1174) all_295_3_250 = all_284_3_243
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (915,1171) yields a new equation:
% 124.60/69.92 | (1175) all_282_2_238 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1175 yields:
% 124.60/69.92 | (1176) all_282_2_238 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1174,1097) yields a new equation:
% 124.60/69.92 | (1177) all_284_3_243 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1177 yields:
% 124.60/69.92 | (1178) all_284_3_243 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1081,1157) yields a new equation:
% 124.60/69.92 | (1179) all_280_2_234 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1179 yields:
% 124.60/69.92 | (1180) all_280_2_234 = all_278_2_230
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1082,1157) yields a new equation:
% 124.60/69.92 | (1181) all_278_2_230 = all_276_2_226
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1172,1178) yields a new equation:
% 124.60/69.92 | (1182) all_278_3_231 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1182 yields:
% 124.60/69.92 | (1183) all_278_3_231 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (917,1176) yields a new equation:
% 124.60/69.92 | (1184) all_280_2_234 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1184 yields:
% 124.60/69.92 | (1185) all_280_2_234 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (988,1134) yields a new equation:
% 124.60/69.92 | (1186) all_274_3_223 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1186 yields:
% 124.60/69.92 | (1187) all_274_3_223 = all_252_3_181
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1180,1185) yields a new equation:
% 124.60/69.92 | (1188) all_278_2_230 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1188 yields:
% 124.60/69.92 | (1189) all_278_2_230 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1168,989) yields a new equation:
% 124.60/69.92 | (1190) all_276_3_227 = all_272_3_219
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1190 yields:
% 124.60/69.92 | (1191) all_276_3_227 = all_272_3_219
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (1181,1189) yields a new equation:
% 124.60/69.92 | (1192) all_276_2_226 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1192 yields:
% 124.60/69.92 | (1193) all_276_2_226 = all_232_2_140
% 124.60/69.92 |
% 124.60/69.92 | Combining equations (990,1183) yields a new equation:
% 124.60/69.92 | (1194) all_270_3_215 = all_232_3_141
% 124.60/69.92 |
% 124.60/69.92 | Simplifying 1194 yields:
% 124.60/69.93 | (1195) all_270_3_215 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (921,1193) yields a new equation:
% 124.60/69.93 | (1196) all_272_2_218 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1196 yields:
% 124.60/69.93 | (1197) all_272_2_218 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1166,1191) yields a new equation:
% 124.60/69.93 | (1198) all_272_3_219 = all_268_3_211
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1169,1191) yields a new equation:
% 124.60/69.93 | (1199) all_274_3_223 = all_272_3_219
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1199 yields:
% 124.60/69.93 | (1200) all_274_3_223 = all_272_3_219
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1135,1136) yields a new equation:
% 124.60/69.93 | (1201) all_270_2_214 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1201 yields:
% 124.60/69.93 | (1202) all_270_2_214 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1200,1187) yields a new equation:
% 124.60/69.93 | (1203) all_272_3_219 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1203 yields:
% 124.60/69.93 | (1204) all_272_3_219 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (923,1197) yields a new equation:
% 124.60/69.93 | (1205) all_268_2_210 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1205 yields:
% 124.60/69.93 | (1206) all_268_2_210 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1198,1204) yields a new equation:
% 124.60/69.93 | (1207) all_268_3_211 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1207 yields:
% 124.60/69.93 | (1208) all_268_3_211 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (925,1202) yields a new equation:
% 124.60/69.93 | (1209) all_262_2_198 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1209 yields:
% 124.60/69.93 | (1210) all_262_2_198 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (992,1195) yields a new equation:
% 124.60/69.93 | (1211) all_266_3_207 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1211 yields:
% 124.60/69.93 | (1212) all_266_3_207 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (924,1206) yields a new equation:
% 124.60/69.93 | (1213) all_266_2_206 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1213 yields:
% 124.60/69.93 | (1214) all_266_2_206 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (993,1208) yields a new equation:
% 124.60/69.93 | (1215) all_264_3_203 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1215 yields:
% 124.60/69.93 | (1216) all_264_3_203 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (927,1214) yields a new equation:
% 124.60/69.93 | (1217) all_260_2_194 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1217 yields:
% 124.60/69.93 | (1218) all_260_2_194 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (995,1212) yields a new equation:
% 124.60/69.93 | (1219) all_260_3_195 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1219 yields:
% 124.60/69.93 | (1220) all_260_3_195 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (943,951) yields a new equation:
% 124.60/69.93 | (1221) all_230_2_136 = all_216_2_110
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1221 yields:
% 124.60/69.93 | (1222) all_230_2_136 = all_216_2_110
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (994,1216) yields a new equation:
% 124.60/69.93 | (1223) all_262_3_199 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1223 yields:
% 124.60/69.93 | (1224) all_262_3_199 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (935,1210) yields a new equation:
% 124.60/69.93 | (1225) all_244_2_164 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1225 yields:
% 124.60/69.93 | (1226) all_244_2_164 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (996,1224) yields a new equation:
% 124.60/69.93 | (1227) all_258_1_191 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1227 yields:
% 124.60/69.93 | (1228) all_258_1_191 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1122,1218) yields a new equation:
% 124.60/69.93 | (1229) all_256_2_188 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1229 yields:
% 124.60/69.93 | (1230) all_256_2_188 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1001,1220) yields a new equation:
% 124.60/69.93 | (1231) all_250_3_177 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1231 yields:
% 124.60/69.93 | (1232) all_250_3_177 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (997,1228) yields a new equation:
% 124.60/69.93 | (1233) all_256_3_189 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1233 yields:
% 124.60/69.93 | (1234) all_256_3_189 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1123,1230) yields a new equation:
% 124.60/69.93 | (1235) all_254_2_184 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1235 yields:
% 124.60/69.93 | (1236) all_254_2_184 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1006,1234) yields a new equation:
% 124.60/69.93 | (1237) all_252_3_181 = all_242_3_161
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (999,1234) yields a new equation:
% 124.60/69.93 | (1238) all_254_3_185 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1238 yields:
% 124.60/69.93 | (1239) all_254_3_185 = all_252_3_181
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (930,1236) yields a new equation:
% 124.60/69.93 | (1240) all_252_2_180 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1240 yields:
% 124.60/69.93 | (1241) all_252_2_180 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1239,1163) yields a new equation:
% 124.60/69.93 | (1242) all_252_3_181 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1242 yields:
% 124.60/69.93 | (1243) all_252_3_181 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (931,1241) yields a new equation:
% 124.60/69.93 | (1244) all_250_2_176 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1244 yields:
% 124.60/69.93 | (1245) all_250_2_176 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1237,1243) yields a new equation:
% 124.60/69.93 | (1246) all_242_3_161 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1246 yields:
% 124.60/69.93 | (1247) all_242_3_161 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (932,1245) yields a new equation:
% 124.60/69.93 | (1248) all_248_2_172 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1248 yields:
% 124.60/69.93 | (1249) all_248_2_172 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1002,1232) yields a new equation:
% 124.60/69.93 | (1250) all_248_3_173 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1250 yields:
% 124.60/69.93 | (1251) all_248_3_173 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (933,1249) yields a new equation:
% 124.60/69.93 | (1252) all_246_2_168 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1252 yields:
% 124.60/69.93 | (1253) all_246_2_168 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1003,1251) yields a new equation:
% 124.60/69.93 | (1254) all_246_3_169 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1254 yields:
% 124.60/69.93 | (1255) all_246_3_169 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (936,1253) yields a new equation:
% 124.60/69.93 | (1256) all_242_2_160 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1256 yields:
% 124.60/69.93 | (1257) all_242_2_160 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1005,1255) yields a new equation:
% 124.60/69.93 | (1258) all_244_3_165 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1258 yields:
% 124.60/69.93 | (1259) all_244_3_165 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (944,1226) yields a new equation:
% 124.60/69.93 | (1260) all_234_2_144 = all_230_2_136
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (939,1226) yields a new equation:
% 124.60/69.93 | (1261) all_236_2_148 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1261 yields:
% 124.60/69.93 | (1262) all_236_2_148 = all_234_2_144
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1118,1226) yields a new equation:
% 124.60/69.93 | (1263) all_234_2_144 = all_228_2_132
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1086,1259) yields a new equation:
% 124.60/69.93 | (1264) all_240_3_157 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1264 yields:
% 124.60/69.93 | (1265) all_240_3_157 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (937,1257) yields a new equation:
% 124.60/69.93 | (1266) all_240_2_156 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1266 yields:
% 124.60/69.93 | (1267) all_240_2_156 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1011,1247) yields a new equation:
% 124.60/69.93 | (1268) all_234_3_145 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1268 yields:
% 124.60/69.93 | (1269) all_234_3_145 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (938,1267) yields a new equation:
% 124.60/69.93 | (1270) all_238_2_152 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1270 yields:
% 124.60/69.93 | (1271) all_238_2_152 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1114,1265) yields a new equation:
% 124.60/69.93 | (1272) all_238_3_153 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1272 yields:
% 124.60/69.93 | (1273) all_238_3_153 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (940,1271) yields a new equation:
% 124.60/69.93 | (1274) all_236_2_148 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1274 yields:
% 124.60/69.93 | (1275) all_236_2_148 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1155,1273) yields a new equation:
% 124.60/69.93 | (1276) all_236_3_149 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1276 yields:
% 124.60/69.93 | (1277) all_236_3_149 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1262,1275) yields a new equation:
% 124.60/69.93 | (1278) all_234_2_144 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1278 yields:
% 124.60/69.93 | (1279) all_234_2_144 = all_232_2_140
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1153,1277) yields a new equation:
% 124.60/69.93 | (1280) all_234_3_145 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1280 yields:
% 124.60/69.93 | (1281) all_234_3_145 = all_232_3_141
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1260,1279) yields a new equation:
% 124.60/69.93 | (1282) all_232_2_140 = all_230_2_136
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1263,1279) yields a new equation:
% 124.60/69.93 | (1283) all_232_2_140 = all_228_2_132
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1015,1281) yields a new equation:
% 124.60/69.93 | (1284) all_232_3_141 = all_230_3_137
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1269,1281) yields a new equation:
% 124.60/69.93 | (1285) all_232_3_141 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1282,1283) yields a new equation:
% 124.60/69.93 | (1286) all_230_2_136 = all_228_2_132
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1286 yields:
% 124.60/69.93 | (1287) all_230_2_136 = all_228_2_132
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1284,1285) yields a new equation:
% 124.60/69.93 | (1288) all_230_3_137 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1288 yields:
% 124.60/69.93 | (1289) all_230_3_137 = all_228_3_133
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (946,1287) yields a new equation:
% 124.60/69.93 | (1290) all_228_2_132 = all_226_2_128
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1222,1287) yields a new equation:
% 124.60/69.93 | (1291) all_228_2_132 = all_216_2_110
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1120,1289) yields a new equation:
% 124.60/69.93 | (1292) all_228_3_133 = all_218_3_115
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1075,1289) yields a new equation:
% 124.60/69.93 | (1293) all_228_3_133 = all_226_3_129
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1290,1291) yields a new equation:
% 124.60/69.93 | (1294) all_226_2_128 = all_216_2_110
% 124.60/69.93 |
% 124.60/69.93 | Simplifying 1294 yields:
% 124.60/69.93 | (1295) all_226_2_128 = all_216_2_110
% 124.60/69.93 |
% 124.60/69.93 | Combining equations (1293,1292) yields a new equation:
% 124.60/69.93 | (1296) all_226_3_129 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1296 yields:
% 124.60/69.94 | (1297) all_226_3_129 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (948,1295) yields a new equation:
% 124.60/69.94 | (1298) all_222_2_120 = all_216_2_110
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1298 yields:
% 124.60/69.94 | (1299) all_222_2_120 = all_216_2_110
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1076,1297) yields a new equation:
% 124.60/69.94 | (1300) all_224_3_125 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1300 yields:
% 124.60/69.94 | (1301) all_224_3_125 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1068,950) yields a new equation:
% 124.60/69.94 | (1302) all_218_2_114 = all_212_2_102
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (949,950) yields a new equation:
% 124.60/69.94 | (1303) all_222_2_120 = all_218_2_114
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1303 yields:
% 124.60/69.94 | (1304) all_222_2_120 = all_218_2_114
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1019,1301) yields a new equation:
% 124.60/69.94 | (1305) all_222_3_121 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1305 yields:
% 124.60/69.94 | (1306) all_222_3_121 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1304,1299) yields a new equation:
% 124.60/69.94 | (1307) all_218_2_114 = all_216_2_110
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1307 yields:
% 124.60/69.94 | (1308) all_218_2_114 = all_216_2_110
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (953,1299) yields a new equation:
% 124.60/69.94 | (1309) all_216_2_110 = all_214_2_106
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1020,1306) yields a new equation:
% 124.60/69.94 | (1310) all_220_1_117 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1310 yields:
% 124.60/69.94 | (1311) all_220_1_117 = all_218_3_115
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1023,1311) yields a new equation:
% 124.60/69.94 | (1312) all_218_3_115 = all_216_3_111
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1024,1311) yields a new equation:
% 124.60/69.94 | (1313) all_218_3_115 = all_214_3_107
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1308,1302) yields a new equation:
% 124.60/69.94 | (1314) all_216_2_110 = all_212_2_102
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1314 yields:
% 124.60/69.94 | (1315) all_216_2_110 = all_212_2_102
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1312,1313) yields a new equation:
% 124.60/69.94 | (1316) all_216_3_111 = all_214_3_107
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1316 yields:
% 124.60/69.94 | (1317) all_216_3_111 = all_214_3_107
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1309,1315) yields a new equation:
% 124.60/69.94 | (1318) all_214_2_106 = all_212_2_102
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1318 yields:
% 124.60/69.94 | (1319) all_214_2_106 = all_212_2_102
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1025,1317) yields a new equation:
% 124.60/69.94 | (1320) all_214_3_107 = all_212_3_103
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1022,1317) yields a new equation:
% 124.60/69.94 | (1321) all_214_3_107 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (952,1319) yields a new equation:
% 124.60/69.94 | (1322) all_212_2_102 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (955,1319) yields a new equation:
% 124.60/69.94 | (1323) all_212_2_102 = all_210_2_98
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1320,1321) yields a new equation:
% 124.60/69.94 | (1324) all_212_3_103 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1324 yields:
% 124.60/69.94 | (1325) all_212_3_103 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1322,1323) yields a new equation:
% 124.60/69.94 | (1326) all_210_2_98 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1027,1325) yields a new equation:
% 124.60/69.94 | (1327) all_210_3_99 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1327 yields:
% 124.60/69.94 | (1328) all_210_3_99 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1046,1328) yields a new equation:
% 124.60/69.94 | (1329) all_208_1_95 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Simplifying 1329 yields:
% 124.60/69.94 | (1330) all_208_1_95 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1326,1323) yields a new equation:
% 124.60/69.94 | (1322) all_212_2_102 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1322,1315) yields a new equation:
% 124.60/69.94 | (1332) all_216_2_110 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1321,1313) yields a new equation:
% 124.60/69.94 | (1333) all_218_3_115 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1322,1302) yields a new equation:
% 124.60/69.94 | (1334) all_218_2_114 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1333,1297) yields a new equation:
% 124.60/69.94 | (1335) all_226_3_129 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1332,1295) yields a new equation:
% 124.60/69.94 | (1336) all_226_2_128 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1333,1292) yields a new equation:
% 124.60/69.94 | (1337) all_228_3_133 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1332,1291) yields a new equation:
% 124.60/69.94 | (1338) all_228_2_132 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1337,1285) yields a new equation:
% 124.60/69.94 | (1339) all_232_3_141 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1338,1283) yields a new equation:
% 124.60/69.94 | (1340) all_232_2_140 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1279) yields a new equation:
% 124.60/69.94 | (1341) all_234_2_144 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1277) yields a new equation:
% 124.60/69.94 | (1342) all_236_3_149 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1337,1247) yields a new equation:
% 124.60/69.94 | (1343) all_242_3_161 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1257) yields a new equation:
% 124.60/69.94 | (1344) all_242_2_160 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1259) yields a new equation:
% 124.60/69.94 | (1345) all_244_3_165 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1341,1226) yields a new equation:
% 124.60/69.94 | (1346) all_244_2_164 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1255) yields a new equation:
% 124.60/69.94 | (1347) all_246_3_169 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1253) yields a new equation:
% 124.60/69.94 | (1348) all_246_2_168 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1232) yields a new equation:
% 124.60/69.94 | (1349) all_250_3_177 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1245) yields a new equation:
% 124.60/69.94 | (1350) all_250_2_176 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1337,1243) yields a new equation:
% 124.60/69.94 | (1351) all_252_3_181 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1337,1163) yields a new equation:
% 124.60/69.94 | (1352) all_254_3_185 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1236) yields a new equation:
% 124.60/69.94 | (1353) all_254_2_184 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1234) yields a new equation:
% 124.60/69.94 | (1354) all_256_3_189 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1230) yields a new equation:
% 124.60/69.94 | (1355) all_256_2_188 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1224) yields a new equation:
% 124.60/69.94 | (1356) all_262_3_199 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1341,1210) yields a new equation:
% 124.60/69.94 | (1357) all_262_2_198 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1216) yields a new equation:
% 124.60/69.94 | (1358) all_264_3_203 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1332,951) yields a new equation:
% 124.60/69.94 | (1359) all_264_2_202 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1208) yields a new equation:
% 124.60/69.94 | (1360) all_268_3_211 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1206) yields a new equation:
% 124.60/69.94 | (1361) all_268_2_210 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1204) yields a new equation:
% 124.60/69.94 | (1362) all_272_3_219 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1187) yields a new equation:
% 124.60/69.94 | (1363) all_274_3_223 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1341,1136) yields a new equation:
% 124.60/69.94 | (1364) all_274_2_222 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1362,1191) yields a new equation:
% 124.60/69.94 | (1365) all_276_3_227 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1189) yields a new equation:
% 124.60/69.94 | (1366) all_278_2_230 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1351,1134) yields a new equation:
% 124.60/69.94 | (1367) all_282_3_239 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1176) yields a new equation:
% 124.60/69.94 | (1368) all_282_2_238 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1178) yields a new equation:
% 124.60/69.94 | (1369) all_284_3_243 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1366,1157) yields a new equation:
% 124.60/69.94 | (1370) all_284_2_242 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1339,1097) yields a new equation:
% 124.60/69.94 | (1371) all_295_3_250 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1369,1159) yields a new equation:
% 124.60/69.94 | (1372) all_297_3_254 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1165) yields a new equation:
% 124.60/69.94 | (1373) all_297_2_253 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1365,1109) yields a new equation:
% 124.60/69.94 | (1374) all_299_3_258 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1161) yields a new equation:
% 124.60/69.94 | (1375) all_299_2_257 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1369,1150) yields a new equation:
% 124.60/69.94 | (1376) all_303_3_266 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1366,1103) yields a new equation:
% 124.60/69.94 | (1377) all_303_2_265 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1369,1142) yields a new equation:
% 124.60/69.94 | (1378) all_309_3_278 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1140) yields a new equation:
% 124.60/69.94 | (1379) all_309_2_277 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1369,1138) yields a new equation:
% 124.60/69.94 | (1380) all_311_3_282 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,1132) yields a new equation:
% 124.60/69.94 | (1381) all_311_2_281 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1337,1105) yields a new equation:
% 124.60/69.94 | (1382) all_327_3_308 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1340,942) yields a new equation:
% 124.60/69.94 | (1383) all_327_2_307 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1369,1064) yields a new equation:
% 124.60/69.94 | (1384) all_425_3_448 = all_12_2_11
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1355,1090) yields a new equation:
% 124.60/69.94 | (1385) all_425_2_447 = 0
% 124.60/69.94 |
% 124.60/69.94 | Combining equations (1371,1092) yields a new equation:
% 124.60/69.95 | (1386) all_427_3_452 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1366,918) yields a new equation:
% 124.60/69.95 | (1387) all_427_2_451 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1371,1052) yields a new equation:
% 124.60/69.95 | (1388) all_444_3_474 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1355,1062) yields a new equation:
% 124.60/69.95 | (1389) all_444_2_473 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1342,1009) yields a new equation:
% 124.60/69.95 | (1390) all_498_3_542 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1338,1073) yields a new equation:
% 124.60/69.95 | (1391) all_498_2_541 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1335,1017) yields a new equation:
% 124.60/69.95 | (1392) all_500_3_546 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1338,1054) yields a new equation:
% 124.60/69.95 | (1393) all_500_2_545 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1330,1028) yields a new equation:
% 124.60/69.95 | (1394) all_528_3_598 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1370,1040) yields a new equation:
% 124.60/69.95 | (1395) all_528_2_597 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1333,1021) yields a new equation:
% 124.60/69.95 | (1396) all_534_3_610 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1338,1032) yields a new equation:
% 124.60/69.95 | (1397) all_534_2_609 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1351,1000) yields a new equation:
% 124.60/69.95 | (1398) all_536_3_614 = all_12_2_11
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1338,945) yields a new equation:
% 124.60/69.95 | (1399) all_536_2_613 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (1110) can reduce 1029 to:
% 124.60/69.95 | (1400) ~ (all_12_0_9 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Simplifying 1400 yields:
% 124.60/69.95 | (89) ~ (all_12_0_9 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1330) can reduce 1030 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 | From (885) and (604) follows:
% 124.60/69.95 | (1403) element(all_256_1_187, all_12_3_12) = all_268_0_208
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (776), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1404) ~ (all_427_2_451 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1387) can reduce 1404 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1387) all_427_2_451 = 0
% 124.60/69.95 | (1407) all_427_0_449 = all_427_1_450 | all_427_3_452 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1407), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1408) all_427_3_452 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1408,1386) yields a new equation:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1411) ~ (all_427_3_452 = 0)
% 124.60/69.95 | (1412) all_427_0_449 = all_427_1_450
% 124.60/69.95 |
% 124.60/69.95 | Equations (1386) can reduce 1411 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (799), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1414) ~ (all_500_2_545 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1393) can reduce 1414 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1393) all_500_2_545 = 0
% 124.60/69.95 | (1417) all_500_0_543 = all_500_1_544 | all_500_3_546 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (553), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1418) ~ (all_250_2_176 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1350) can reduce 1418 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1350) all_250_2_176 = 0
% 124.60/69.95 | (1421) all_250_0_174 = all_250_1_175 | all_250_3_177 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (431), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1422) ~ (all_210_2_98 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1326) can reduce 1422 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1326) all_210_2_98 = 0
% 124.60/69.95 | (1425) all_210_0_96 = all_210_1_97 | all_210_3_99 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1421), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1426) all_250_3_177 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1349,1426) yields a new equation:
% 124.60/69.95 | (325) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Simplifying 325 yields:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1430) ~ (all_250_3_177 = 0)
% 124.60/69.95 | (1431) all_250_0_174 = all_250_1_175
% 124.60/69.95 |
% 124.60/69.95 | Equations (1349) can reduce 1430 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (768), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1433) ~ (all_425_2_447 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1385) can reduce 1433 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1385) all_425_2_447 = 0
% 124.60/69.95 | (1436) all_425_0_445 = all_425_1_446 | all_425_3_448 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1417), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1437) all_500_3_546 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1392,1437) yields a new equation:
% 124.60/69.95 | (325) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Simplifying 325 yields:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1441) ~ (all_500_3_546 = 0)
% 124.60/69.95 | (1442) all_500_0_543 = all_500_1_544
% 124.60/69.95 |
% 124.60/69.95 | Equations (1392) can reduce 1441 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1436), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1444) all_425_3_448 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1444,1384) yields a new equation:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1447) ~ (all_425_3_448 = 0)
% 124.60/69.95 | (1448) all_425_0_445 = all_425_1_446
% 124.60/69.95 |
% 124.60/69.95 | Equations (1384) can reduce 1447 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (726), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1450) ~ (all_327_2_307 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1383) can reduce 1450 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1383) all_327_2_307 = 0
% 124.60/69.95 | (1453) all_327_0_305 = all_327_1_306 | all_327_3_308 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1453), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1454) all_327_3_308 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1382,1454) yields a new equation:
% 124.60/69.95 | (325) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Simplifying 325 yields:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1458) ~ (all_327_3_308 = 0)
% 124.60/69.95 | (1459) all_327_0_305 = all_327_1_306
% 124.60/69.95 |
% 124.60/69.95 | Equations (1382) can reduce 1458 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (497), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1461) ~ (all_232_2_140 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1340) can reduce 1461 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1340) all_232_2_140 = 0
% 124.60/69.95 | (1464) all_232_0_138 = all_232_1_139 | all_232_3_141 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1425), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1465) all_210_3_99 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1465,1328) yields a new equation:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1468) ~ (all_210_3_99 = 0)
% 124.60/69.95 | (1469) all_210_0_96 = all_210_1_97
% 124.60/69.95 |
% 124.60/69.95 | Equations (1328) can reduce 1468 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (1464), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1471) all_232_3_141 = 0
% 124.60/69.95 |
% 124.60/69.95 | Combining equations (1339,1471) yields a new equation:
% 124.60/69.95 | (325) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Simplifying 325 yields:
% 124.60/69.95 | (178) all_12_2_11 = 0
% 124.60/69.95 |
% 124.60/69.95 | Equations (178) can reduce 93 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1475) ~ (all_232_3_141 = 0)
% 124.60/69.95 | (1476) all_232_0_138 = all_232_1_139
% 124.60/69.95 |
% 124.60/69.95 | Equations (1339) can reduce 1475 to:
% 124.60/69.95 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (699), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1478) ~ (all_309_2_277 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1379) can reduce 1478 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1379) all_309_2_277 = 0
% 124.60/69.95 | (1481) all_309_0_275 = all_309_1_276 | all_309_3_278 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (663), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1482) ~ (all_297_2_253 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1373) can reduce 1482 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1373) all_297_2_253 = 0
% 124.60/69.95 | (1485) all_297_0_251 = all_297_1_252 | all_297_3_254 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (535), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1486) ~ (all_244_2_164 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1346) can reduce 1486 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1346) all_244_2_164 = 0
% 124.60/69.95 | (1489) all_244_0_162 = all_244_1_163 | all_244_3_165 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (480), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1490) ~ (all_226_2_128 = 0)
% 124.60/69.95 |
% 124.60/69.95 | Equations (1336) can reduce 1490 to:
% 124.60/69.95 | (179) $false
% 124.60/69.95 |
% 124.60/69.95 |-The branch is then unsatisfiable
% 124.60/69.95 |-Branch two:
% 124.60/69.95 | (1336) all_226_2_128 = 0
% 124.60/69.95 | (1493) all_226_0_126 = all_226_1_127 | all_226_3_129 = 0
% 124.60/69.95 |
% 124.60/69.95 +-Applying beta-rule and splitting (645), into two cases.
% 124.60/69.95 |-Branch one:
% 124.60/69.95 | (1494) ~ (all_282_2_238 = 0)
% 124.60/69.95 |
% 124.60/69.96 | Equations (1368) can reduce 1494 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1368) all_282_2_238 = 0
% 124.60/69.96 | (1497) all_282_0_236 = all_282_1_237 | all_282_3_239 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1497), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1498) all_282_3_239 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1367,1498) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1502) ~ (all_282_3_239 = 0)
% 124.60/69.96 | (1503) all_282_0_236 = all_282_1_237
% 124.60/69.96 |
% 124.60/69.96 | Equations (1367) can reduce 1502 to:
% 124.60/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1493), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1505) all_226_3_129 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1335,1505) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1509) ~ (all_226_3_129 = 0)
% 124.60/69.96 | (1510) all_226_0_126 = all_226_1_127
% 124.60/69.96 |
% 124.60/69.96 | Equations (1335) can reduce 1509 to:
% 124.60/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (528), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1512) ~ (all_242_2_160 = 0)
% 124.60/69.96 |
% 124.60/69.96 | Equations (1344) can reduce 1512 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1344) all_242_2_160 = 0
% 124.60/69.96 | (1515) all_242_0_158 = all_242_1_159 | all_242_3_161 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1481), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1516) all_309_3_278 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1378,1516) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1520) ~ (all_309_3_278 = 0)
% 124.60/69.96 | (1521) all_309_0_275 = all_309_1_276
% 124.60/69.96 |
% 124.60/69.96 | Equations (1378) can reduce 1520 to:
% 124.60/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1515), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1523) all_242_3_161 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1343,1523) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1527) ~ (all_242_3_161 = 0)
% 124.60/69.96 | (1528) all_242_0_158 = all_242_1_159
% 124.60/69.96 |
% 124.60/69.96 | Equations (1343) can reduce 1527 to:
% 124.60/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (565), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1530) ~ (all_254_2_184 = 0)
% 124.60/69.96 |
% 124.60/69.96 | Equations (1353) can reduce 1530 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1353) all_254_2_184 = 0
% 124.60/69.96 | (1533) all_254_0_182 = all_254_1_183 | all_254_3_185 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1533), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1534) all_254_3_185 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1352,1534) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1538) ~ (all_254_3_185 = 0)
% 124.60/69.96 | (1539) all_254_0_182 = all_254_1_183
% 124.60/69.96 |
% 124.60/69.96 | Equations (1352) can reduce 1538 to:
% 124.60/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (541), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1541) ~ (all_246_2_168 = 0)
% 124.60/69.96 |
% 124.60/69.96 | Equations (1348) can reduce 1541 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1348) all_246_2_168 = 0
% 124.60/69.96 | (1544) all_246_0_166 = all_246_1_167 | all_246_3_169 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (623), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1545) ~ (all_274_2_222 = 0)
% 124.60/69.96 |
% 124.60/69.96 | Equations (1364) can reduce 1545 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1364) all_274_2_222 = 0
% 124.60/69.96 | (1548) all_274_0_220 = all_274_1_221 | all_274_3_223 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (586), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1549) ~ (all_262_2_198 = 0)
% 124.60/69.96 |
% 124.60/69.96 | Equations (1357) can reduce 1549 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.60/69.96 | (1357) all_262_2_198 = 0
% 124.60/69.96 | (1552) all_262_0_196 = all_262_1_197 | all_262_3_199 = 0
% 124.60/69.96 |
% 124.60/69.96 +-Applying beta-rule and splitting (1552), into two cases.
% 124.60/69.96 |-Branch one:
% 124.60/69.96 | (1553) all_262_3_199 = 0
% 124.60/69.96 |
% 124.60/69.96 | Combining equations (1356,1553) yields a new equation:
% 124.60/69.96 | (325) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Simplifying 325 yields:
% 124.60/69.96 | (178) all_12_2_11 = 0
% 124.60/69.96 |
% 124.60/69.96 | Equations (178) can reduce 93 to:
% 124.60/69.96 | (179) $false
% 124.60/69.96 |
% 124.60/69.96 |-The branch is then unsatisfiable
% 124.60/69.96 |-Branch two:
% 124.94/69.96 | (1557) ~ (all_262_3_199 = 0)
% 124.94/69.96 | (1558) all_262_0_196 = all_262_1_197
% 124.94/69.96 |
% 124.94/69.96 | Equations (1356) can reduce 1557 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1544), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1560) all_246_3_169 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1347,1560) yields a new equation:
% 124.94/69.96 | (325) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Simplifying 325 yields:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1564) ~ (all_246_3_169 = 0)
% 124.94/69.96 | (1565) all_246_0_166 = all_246_1_167
% 124.94/69.96 |
% 124.94/69.96 | Equations (1347) can reduce 1564 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (854), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1567) ~ (all_534_2_609 = 0)
% 124.94/69.96 |
% 124.94/69.96 | Equations (1397) can reduce 1567 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1397) all_534_2_609 = 0
% 124.94/69.96 | (1570) all_534_0_607 = all_534_1_608 | all_534_3_610 = 0
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1485), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1571) all_297_3_254 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1372,1571) yields a new equation:
% 124.94/69.96 | (325) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Simplifying 325 yields:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1575) ~ (all_297_3_254 = 0)
% 124.94/69.96 | (1576) all_297_0_251 = all_297_1_252
% 124.94/69.96 |
% 124.94/69.96 | Equations (1372) can reduce 1575 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1570), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1578) all_534_3_610 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1396,1578) yields a new equation:
% 124.94/69.96 | (325) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Simplifying 325 yields:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1582) ~ (all_534_3_610 = 0)
% 124.94/69.96 | (1583) all_534_0_607 = all_534_1_608
% 124.94/69.96 |
% 124.94/69.96 | Equations (1396) can reduce 1582 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (782), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1585) ~ (all_444_2_473 = 0)
% 124.94/69.96 |
% 124.94/69.96 | Equations (1389) can reduce 1585 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1389) all_444_2_473 = 0
% 124.94/69.96 | (1588) all_444_0_471 = all_444_1_472 | all_444_3_474 = 0
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1489), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1589) all_244_3_165 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1589,1345) yields a new equation:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1592) ~ (all_244_3_165 = 0)
% 124.94/69.96 | (1593) all_244_0_162 = all_244_1_163
% 124.94/69.96 |
% 124.94/69.96 | Equations (1345) can reduce 1592 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1588), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1595) all_444_3_474 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1388,1595) yields a new equation:
% 124.94/69.96 | (325) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Simplifying 325 yields:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1599) ~ (all_444_3_474 = 0)
% 124.94/69.96 | (1600) all_444_0_471 = all_444_1_472
% 124.94/69.96 |
% 124.94/69.96 | Equations (1388) can reduce 1599 to:
% 124.94/69.96 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (601), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1602) ~ (all_268_2_210 = 0)
% 124.94/69.96 |
% 124.94/69.96 | Equations (1361) can reduce 1602 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1361) all_268_2_210 = 0
% 124.94/69.96 | (1605) all_268_0_208 = 0 | all_268_3_211 = 0
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (707), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1606) ~ (all_311_2_281 = 0)
% 124.94/69.96 |
% 124.94/69.96 | Equations (1381) can reduce 1606 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.96 | (1381) all_311_2_281 = 0
% 124.94/69.96 | (1609) all_311_0_279 = all_311_1_280 | all_311_3_282 = 0
% 124.94/69.96 |
% 124.94/69.96 +-Applying beta-rule and splitting (1609), into two cases.
% 124.94/69.96 |-Branch one:
% 124.94/69.96 | (1610) all_311_3_282 = 0
% 124.94/69.96 |
% 124.94/69.96 | Combining equations (1380,1610) yields a new equation:
% 124.94/69.96 | (325) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Simplifying 325 yields:
% 124.94/69.96 | (178) all_12_2_11 = 0
% 124.94/69.96 |
% 124.94/69.96 | Equations (178) can reduce 93 to:
% 124.94/69.96 | (179) $false
% 124.94/69.96 |
% 124.94/69.96 |-The branch is then unsatisfiable
% 124.94/69.96 |-Branch two:
% 124.94/69.97 | (1614) ~ (all_311_3_282 = 0)
% 124.94/69.97 | (1615) all_311_0_279 = all_311_1_280
% 124.94/69.97 |
% 124.94/69.97 | Equations (1380) can reduce 1614 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1548), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1617) all_274_3_223 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1363,1617) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1621) ~ (all_274_3_223 = 0)
% 124.94/69.97 | (1622) all_274_0_220 = all_274_1_221
% 124.94/69.97 |
% 124.94/69.97 | Equations (1363) can reduce 1621 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (455), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1624) ~ (all_218_2_114 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1334) can reduce 1624 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1334) all_218_2_114 = 0
% 124.94/69.97 | (1627) all_218_0_112 = all_218_1_113 | all_218_3_115 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1627), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1628) all_218_3_115 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1333,1628) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1632) ~ (all_218_3_115 = 0)
% 124.94/69.97 | (1633) all_218_0_112 = all_218_1_113
% 124.94/69.97 |
% 124.94/69.97 | Equations (1333) can reduce 1632 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (669), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1635) ~ (all_299_2_257 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1375) can reduce 1635 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1375) all_299_2_257 = 0
% 124.94/69.97 | (1638) all_299_0_255 = all_299_1_256 | all_299_3_258 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1638), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1639) all_299_3_258 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1374,1639) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1643) ~ (all_299_3_258 = 0)
% 124.94/69.97 | (1644) all_299_0_255 = all_299_1_256
% 124.94/69.97 |
% 124.94/69.97 | Equations (1374) can reduce 1643 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1605), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1646) all_268_0_208 = 0
% 124.94/69.97 |
% 124.94/69.97 | From (1646) and (1403) follows:
% 124.94/69.97 | (1647) element(all_256_1_187, all_12_3_12) = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (681), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1648) ~ (all_303_2_265 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1377) can reduce 1648 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1377) all_303_2_265 = 0
% 124.94/69.97 | (1651) all_303_0_263 = all_303_1_264 | all_303_3_266 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1651), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1652) all_303_3_266 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1376,1652) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1656) ~ (all_303_3_266 = 0)
% 124.94/69.97 | (1657) all_303_0_263 = all_303_1_264
% 124.94/69.97 |
% 124.94/69.97 | Equations (1376) can reduce 1656 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (794), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1659) ~ (all_498_2_541 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1391) can reduce 1659 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1391) all_498_2_541 = 0
% 124.94/69.97 | (1662) all_498_0_539 = all_498_1_540 | all_498_3_542 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1662), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1663) all_498_3_542 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1390,1663) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1667) ~ (all_498_3_542 = 0)
% 124.94/69.97 | (1668) all_498_0_539 = all_498_1_540
% 124.94/69.97 |
% 124.94/69.97 | Equations (1390) can reduce 1667 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (857), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1670) ~ (all_536_2_613 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1399) can reduce 1670 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1399) all_536_2_613 = 0
% 124.94/69.97 | (1673) all_536_0_611 = all_536_1_612 | all_536_3_614 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (838), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1674) ~ (all_528_2_597 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1395) can reduce 1674 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1395) all_528_2_597 = 0
% 124.94/69.97 | (1677) all_528_0_595 = all_528_1_596 | all_528_3_598 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1677), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1678) all_528_3_598 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1394,1678) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1682) ~ (all_528_3_598 = 0)
% 124.94/69.97 | (1683) all_528_0_595 = all_528_1_596
% 124.94/69.97 |
% 124.94/69.97 | Equations (1394) can reduce 1682 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (592), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1685) ~ (all_264_2_202 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1359) can reduce 1685 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1359) all_264_2_202 = 0
% 124.94/69.97 | (1688) all_264_0_200 = all_264_1_201 | all_264_3_203 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1688), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1689) all_264_3_203 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1358,1689) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1693) ~ (all_264_3_203 = 0)
% 124.94/69.97 | (1694) all_264_0_200 = all_264_1_201
% 124.94/69.97 |
% 124.94/69.97 | Equations (1358) can reduce 1693 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (569), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1696) ~ (all_256_2_188 = 0)
% 124.94/69.97 |
% 124.94/69.97 | Equations (1355) can reduce 1696 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1355) all_256_2_188 = 0
% 124.94/69.97 | (1699) all_256_0_186 = all_256_1_187 | all_256_3_189 = 0
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1673), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1700) all_536_3_614 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1398,1700) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1704) ~ (all_536_3_614 = 0)
% 124.94/69.97 | (1705) all_536_0_611 = all_536_1_612
% 124.94/69.97 |
% 124.94/69.97 | Equations (1398) can reduce 1704 to:
% 124.94/69.97 | (93) ~ (all_12_2_11 = 0)
% 124.94/69.97 |
% 124.94/69.97 +-Applying beta-rule and splitting (1699), into two cases.
% 124.94/69.97 |-Branch one:
% 124.94/69.97 | (1707) all_256_3_189 = 0
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1354,1707) yields a new equation:
% 124.94/69.97 | (325) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Simplifying 325 yields:
% 124.94/69.97 | (178) all_12_2_11 = 0
% 124.94/69.97 |
% 124.94/69.97 | Equations (178) can reduce 93 to:
% 124.94/69.97 | (179) $false
% 124.94/69.97 |
% 124.94/69.97 |-The branch is then unsatisfiable
% 124.94/69.97 |-Branch two:
% 124.94/69.97 | (1711) ~ (all_256_3_189 = 0)
% 124.94/69.97 | (1712) all_256_0_186 = all_256_1_187
% 124.94/69.97 |
% 124.94/69.97 | Combining equations (1116,1712) yields a new equation:
% 124.94/69.97 | (1713) all_256_1_187 = all_12_1_10
% 124.94/69.97 |
% 124.94/69.97 | From (1713) and (1647) follows:
% 124.94/69.98 | (1714) element(all_12_1_10, all_12_3_12) = 0
% 124.94/69.98 |
% 124.94/69.98 +-Applying beta-rule and splitting (201), into two cases.
% 124.94/69.98 |-Branch one:
% 124.94/69.98 | (1715) ~ (element(all_12_1_10, all_12_3_12) = all_34_0_33)
% 124.94/69.98 |
% 124.94/69.98 | From (320) and (1715) follows:
% 124.94/69.98 | (1716) ~ (element(all_12_1_10, all_12_3_12) = 0)
% 124.94/69.98 |
% 124.94/69.98 | Using (1714) and (1716) yields:
% 124.94/69.98 | (865) $false
% 124.94/69.98 |
% 124.94/69.98 |-The branch is then unsatisfiable
% 124.94/69.98 |-Branch two:
% 124.94/69.98 | (1718) element(all_12_1_10, all_12_3_12) = all_34_0_33
% 124.94/69.98 | (1719) all_34_0_33 = all_12_0_9
% 124.94/69.98 |
% 124.94/69.98 | Combining equations (320,1719) yields a new equation:
% 124.94/69.98 | (192) all_12_0_9 = 0
% 124.94/69.98 |
% 124.94/69.98 | Equations (192) can reduce 89 to:
% 124.94/69.98 | (179) $false
% 124.94/69.98 |
% 124.94/69.98 |-The branch is then unsatisfiable
% 124.94/69.98 |-Branch two:
% 124.94/69.98 | (1722) ~ (all_268_0_208 = 0)
% 124.94/69.98 | (1723) all_268_3_211 = 0
% 124.94/69.98 |
% 124.94/69.98 | Combining equations (1360,1723) yields a new equation:
% 124.94/69.98 | (325) all_12_2_11 = 0
% 124.94/69.98 |
% 124.94/69.98 | Simplifying 325 yields:
% 124.94/69.98 | (178) all_12_2_11 = 0
% 124.94/69.98 |
% 124.94/69.98 | Equations (178) can reduce 93 to:
% 124.94/69.98 | (179) $false
% 124.94/69.98 |
% 124.94/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1727) element(all_12_5_14, all_12_3_12) = all_12_0_9
% 125.02/69.98 | (192) all_12_0_9 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (192) can reduce 89 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1730) ~ (all_45_0_48 = 0)
% 125.02/69.98 | (1731) all_45_3_51 = 0
% 125.02/69.98 |
% 125.02/69.98 | Combining equations (269,1731) yields a new equation:
% 125.02/69.98 | (325) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Simplifying 325 yields:
% 125.02/69.98 | (178) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (178) can reduce 93 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1735) ~ (all_34_0_33 = 0)
% 125.02/69.98 | (1736) all_34_3_36 = 0
% 125.02/69.98 |
% 125.02/69.98 | Combining equations (262,1736) yields a new equation:
% 125.02/69.98 | (325) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Simplifying 325 yields:
% 125.02/69.98 | (178) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (178) can reduce 93 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1740) ~ (all_28_0_21 = 0)
% 125.02/69.98 | (1741) all_28_3_24 = 0
% 125.02/69.98 |
% 125.02/69.98 | Combining equations (258,1741) yields a new equation:
% 125.02/69.98 | (325) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Simplifying 325 yields:
% 125.02/69.98 | (178) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (178) can reduce 93 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1745) ~ (all_24_0_15 = 0)
% 125.02/69.98 | (1746) all_24_1_16 = 0
% 125.02/69.98 |
% 125.02/69.98 | Combining equations (1746,256) yields a new equation:
% 125.02/69.98 | (178) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (178) can reduce 93 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 |-Branch two:
% 125.02/69.98 | (1749) ~ (all_26_0_17 = 0)
% 125.02/69.98 | (1750) all_26_3_20 = 0
% 125.02/69.98 |
% 125.02/69.98 | Combining equations (247,1750) yields a new equation:
% 125.02/69.98 | (325) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Simplifying 325 yields:
% 125.02/69.98 | (178) all_12_2_11 = 0
% 125.02/69.98 |
% 125.02/69.98 | Equations (178) can reduce 93 to:
% 125.02/69.98 | (179) $false
% 125.02/69.98 |
% 125.02/69.98 |-The branch is then unsatisfiable
% 125.02/69.98 % SZS output end Proof for theBenchmark
% 125.02/69.98
% 125.02/69.98 69380ms
%------------------------------------------------------------------------------