TSTP Solution File: SET935+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 15:27:07 EDT 2023
% Result : Theorem 27.27s 4.37s
% Output : Proof 28.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:57:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.25/0.99 Prover 4: Preprocessing ...
% 2.25/0.99 Prover 1: Preprocessing ...
% 2.25/1.04 Prover 3: Preprocessing ...
% 2.25/1.04 Prover 5: Preprocessing ...
% 2.25/1.04 Prover 0: Preprocessing ...
% 2.25/1.04 Prover 2: Preprocessing ...
% 2.25/1.04 Prover 6: Preprocessing ...
% 3.85/1.31 Prover 1: Warning: ignoring some quantifiers
% 3.85/1.33 Prover 5: Proving ...
% 3.85/1.34 Prover 1: Constructing countermodel ...
% 3.85/1.35 Prover 3: Warning: ignoring some quantifiers
% 4.84/1.36 Prover 3: Constructing countermodel ...
% 4.84/1.37 Prover 6: Proving ...
% 4.84/1.38 Prover 2: Proving ...
% 4.84/1.43 Prover 4: Warning: ignoring some quantifiers
% 5.52/1.46 Prover 4: Constructing countermodel ...
% 5.66/1.46 Prover 0: Proving ...
% 8.57/1.98 Prover 3: gave up
% 9.59/2.00 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.93/2.04 Prover 7: Preprocessing ...
% 9.93/2.08 Prover 7: Warning: ignoring some quantifiers
% 9.93/2.10 Prover 7: Constructing countermodel ...
% 15.08/2.77 Prover 1: gave up
% 15.08/2.77 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.08/2.79 Prover 8: Preprocessing ...
% 15.72/2.84 Prover 8: Warning: ignoring some quantifiers
% 15.72/2.85 Prover 8: Constructing countermodel ...
% 18.05/3.15 Prover 8: gave up
% 18.05/3.16 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 18.05/3.17 Prover 9: Preprocessing ...
% 18.60/3.22 Prover 9: Warning: ignoring some quantifiers
% 18.60/3.22 Prover 9: Constructing countermodel ...
% 27.27/4.37 Prover 4: Found proof (size 143)
% 27.27/4.37 Prover 4: proved (3723ms)
% 27.27/4.37 Prover 7: stopped
% 27.27/4.37 Prover 5: stopped
% 27.27/4.37 Prover 2: stopped
% 27.27/4.37 Prover 6: stopped
% 27.27/4.37 Prover 0: stopped
% 27.27/4.37 Prover 9: stopped
% 27.27/4.37
% 27.27/4.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.27/4.37
% 27.27/4.37 % SZS output start Proof for theBenchmark
% 27.27/4.38 Assumptions after simplification:
% 27.27/4.38 ---------------------------------
% 27.27/4.38
% 27.27/4.38 (commutativity_k2_xboole_0)
% 27.72/4.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v1, v0) = v2) | ~
% 27.72/4.40 $i(v1) | ~ $i(v0) | (set_union2(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : !
% 27.72/4.40 [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 27.72/4.40 | (set_union2(v1, v0) = v2 & $i(v2)))
% 27.72/4.40
% 27.72/4.40 (d10_xboole_0)
% 27.72/4.41 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (subset(v1, v0) = 0) | ~ $i(v1) |
% 27.72/4.41 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & subset(v0, v1) = v2)) & ! [v0: $i]
% 27.72/4.41 : ! [v1: $i] : (v1 = v0 | ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 27.72/4.41 ? [v2: int] : ( ~ (v2 = 0) & subset(v1, v0) = v2)) & ! [v0: $i] : ! [v1:
% 27.72/4.41 int] : (v1 = 0 | ~ (subset(v0, v0) = v1) | ~ $i(v0))
% 27.72/4.41
% 27.72/4.41 (d1_zfmisc_1)
% 27.72/4.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 27.72/4.41 (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 27.72/4.41 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & in(v2, v1) = v4)) & ! [v0: $i] : !
% 27.72/4.41 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (powerset(v0) = v1) | ~
% 27.72/4.41 (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~
% 27.72/4.41 (v4 = 0) & subset(v2, v0) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 27.72/4.41 : ( ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) |
% 27.72/4.41 ~ $i(v0) | in(v2, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 27.72/4.41 (powerset(v0) = v1) | ~ (in(v2, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 27.72/4.41 $i(v0) | subset(v2, v0) = 0) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2
% 27.72/4.41 = v0 | ~ (powerset(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ?
% 27.72/4.41 [v4: any] : ? [v5: any] : (subset(v3, v1) = v5 & in(v3, v0) = v4 & $i(v3) &
% 27.72/4.41 ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = 0)))
% 27.72/4.41
% 27.72/4.42 (d2_xboole_0)
% 27.72/4.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 27.72/4.42 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v2) = v4) | ~ $i(v3) | ~
% 27.72/4.42 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ (v6 = 0)
% 27.72/4.42 & ~ (v5 = 0) & in(v3, v1) = v6 & in(v3, v0) = v5)) & ! [v0: $i] : !
% 27.72/4.42 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~
% 27.72/4.42 (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~ $i(v3) | ~ $i(v2) |
% 27.72/4.42 ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 &
% 27.72/4.42 in(v3, v0) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] :
% 27.72/4.42 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (set_union2(v0, v1) =
% 27.72/4.42 v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 27.72/4.42 | ? [v5: any] : ? [v6: any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5
% 27.72/4.42 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 27.72/4.42 $i] : ! [v4: any] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) |
% 27.72/4.42 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 27.72/4.42 (in(v3, v2) = v6 & in(v3, v0) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 =
% 27.72/4.42 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 27.72/4.42 [v4: any] : ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) |
% 27.72/4.42 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (in(v3,
% 27.72/4.42 v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4 = 0))))) &
% 27.72/4.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (set_union2(v0, v1)
% 27.72/4.42 = v2) | ~ (in(v3, v2) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 27.72/4.42 $i(v0) | ? [v4: any] : ? [v5: any] : (in(v3, v1) = v5 & in(v3, v0) = v4 &
% 27.72/4.42 (v5 = 0 | v4 = 0))) & ? [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 27.72/4.42 $i] : (v3 = v0 | ~ (set_union2(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 27.72/4.42 $i(v0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : (in(v4,
% 27.72/4.42 v2) = v7 & in(v4, v1) = v6 & in(v4, v0) = v5 & $i(v4) & ( ~ (v5 = 0) | (
% 27.72/4.42 ~ (v7 = 0) & ~ (v6 = 0))) & (v7 = 0 | v6 = 0 | v5 = 0)))
% 27.72/4.42
% 27.72/4.42 (d9_xboole_0)
% 27.72/4.43 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 27.72/4.43 (inclusion_comparable(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] :
% 27.72/4.43 ? [v4: int] : ( ~ (v4 = 0) & ~ (v3 = 0) & subset(v1, v0) = v4 & subset(v0,
% 27.72/4.43 v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 27.72/4.43 (subset(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 27.72/4.43 : (inclusion_comparable(v0, v1) = v3 & subset(v0, v1) = v4 & ( ~ (v3 = 0) |
% 27.72/4.43 v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 27.72/4.43 (subset(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 27.72/4.43 : (inclusion_comparable(v0, v1) = v3 & subset(v1, v0) = v4 & ( ~ (v3 = 0) |
% 27.72/4.43 v4 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (subset(v1,
% 27.72/4.43 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 27.72/4.43 (inclusion_comparable(v0, v1) = v4 & subset(v0, v1) = v3 & (v4 = 0 | ( ~ (v3
% 27.72/4.43 = 0) & ~ (v2 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 27.72/4.43 ( ~ (subset(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 27.72/4.43 any] : (inclusion_comparable(v0, v1) = v4 & subset(v1, v0) = v3 & (v4 = 0
% 27.72/4.43 | ( ~ (v3 = 0) & ~ (v2 = 0))))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 27.72/4.43 (inclusion_comparable(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 27.72/4.43 ? [v3: any] : (subset(v1, v0) = v3 & subset(v0, v1) = v2 & (v3 = 0 | v2 =
% 27.72/4.43 0)))
% 27.72/4.43
% 27.72/4.43 (t7_xboole_1)
% 27.72/4.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v0, v1) = v2) | ~
% 27.72/4.43 $i(v1) | ~ $i(v0) | subset(v0, v2) = 0)
% 27.72/4.43
% 27.72/4.43 (t82_zfmisc_1)
% 27.72/4.43 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 27.72/4.43 $i] : ? [v6: int] : ( ~ (v6 = 0) & inclusion_comparable(v0, v1) = v6 &
% 27.72/4.43 powerset(v5) = v4 & powerset(v1) = v3 & powerset(v0) = v2 & set_union2(v2,
% 27.72/4.43 v3) = v4 & set_union2(v0, v1) = v5 & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 27.72/4.43 $i(v1) & $i(v0))
% 27.72/4.43
% 27.72/4.43 (function-axioms)
% 27.72/4.43 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 27.72/4.43 [v3: $i] : (v1 = v0 | ~ (inclusion_comparable(v3, v2) = v1) | ~
% 27.72/4.43 (inclusion_comparable(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 27.72/4.43 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3,
% 27.72/4.43 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 27.72/4.43 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~
% 27.72/4.43 (set_union2(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 27.72/4.43 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) =
% 27.72/4.43 v1) | ~ (in(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 27.72/4.43 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~
% 27.72/4.43 (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.72/4.43 (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 27.72/4.43
% 27.72/4.43 Further assumptions not needed in the proof:
% 27.72/4.43 --------------------------------------------
% 27.72/4.43 antisymmetry_r2_hidden, fc2_xboole_0, fc3_xboole_0, idempotence_k2_xboole_0,
% 27.72/4.43 rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski, reflexivity_r3_xboole_0,
% 27.72/4.43 symmetry_r3_xboole_0
% 27.72/4.43
% 27.72/4.43 Those formulas are unsatisfiable:
% 27.72/4.43 ---------------------------------
% 27.72/4.43
% 27.72/4.43 Begin of proof
% 27.72/4.43 |
% 27.72/4.43 | ALPHA: (commutativity_k2_xboole_0) implies:
% 27.72/4.43 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v1, v0) = v2)
% 27.72/4.43 | | ~ $i(v1) | ~ $i(v0) | (set_union2(v0, v1) = v2 & $i(v2)))
% 27.72/4.43 |
% 27.72/4.43 | ALPHA: (d10_xboole_0) implies:
% 27.72/4.43 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (subset(v0, v0) = v1) | ~
% 27.72/4.43 | $i(v0))
% 27.72/4.43 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (subset(v1, v0) = 0) | ~
% 27.72/4.43 | $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & subset(v0, v1) =
% 27.72/4.43 | v2))
% 27.72/4.43 |
% 27.72/4.43 | ALPHA: (d1_zfmisc_1) implies:
% 27.72/4.43 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (powerset(v0) = v1) | ~
% 27.72/4.43 | (subset(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | in(v2, v1)
% 27.72/4.43 | = 0)
% 27.72/4.43 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 27.72/4.43 | (powerset(v0) = v1) | ~ (in(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 27.72/4.43 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & subset(v2, v0) = v4))
% 27.72/4.44 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 27.72/4.44 | (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ~ $i(v2) | ~
% 27.72/4.44 | $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 27.72/4.44 |
% 27.72/4.44 | ALPHA: (d2_xboole_0) implies:
% 27.72/4.44 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 27.72/4.44 | (set_union2(v0, v1) = v2) | ~ (in(v3, v2) = 0) | ~ $i(v3) | ~
% 27.72/4.44 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] :
% 27.72/4.44 | (in(v3, v1) = v5 & in(v3, v0) = v4 & (v5 = 0 | v4 = 0)))
% 27.72/4.44 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] :
% 27.72/4.44 | ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ~ $i(v3) | ~
% 27.72/4.44 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 27.72/4.44 | (in(v3, v2) = v6 & in(v3, v1) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4
% 27.72/4.44 | = 0)))))
% 27.72/4.44 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: any] :
% 27.72/4.44 | ( ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~ $i(v3) | ~
% 27.72/4.44 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 27.72/4.44 | (in(v3, v2) = v6 & in(v3, v0) = v5 & (v6 = 0 | ( ~ (v5 = 0) & ~ (v4
% 27.72/4.44 | = 0)))))
% 27.72/4.44 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 27.72/4.44 | (v4 = 0 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v0) = v4) | ~
% 27.72/4.44 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 27.72/4.44 | any] : (in(v3, v2) = v5 & in(v3, v1) = v6 & ( ~ (v5 = 0) | v6 =
% 27.72/4.44 | 0)))
% 27.72/4.44 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 27.72/4.44 | (v4 = 0 | ~ (set_union2(v0, v1) = v2) | ~ (in(v3, v1) = v4) | ~
% 27.72/4.44 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6:
% 27.72/4.44 | any] : (in(v3, v2) = v5 & in(v3, v0) = v6 & ( ~ (v5 = 0) | v6 =
% 27.72/4.44 | 0)))
% 27.72/4.44 |
% 27.72/4.44 | ALPHA: (d9_xboole_0) implies:
% 27.72/4.44 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 27.72/4.44 | (inclusion_comparable(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 27.72/4.44 | [v3: int] : ? [v4: int] : ( ~ (v4 = 0) & ~ (v3 = 0) & subset(v1,
% 27.72/4.44 | v0) = v4 & subset(v0, v1) = v3))
% 27.72/4.44 |
% 27.72/4.44 | ALPHA: (function-axioms) implies:
% 27.72/4.44 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2)
% 27.72/4.44 | = v1) | ~ (powerset(v2) = v0))
% 27.72/4.44 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 27.72/4.44 | : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) =
% 27.72/4.44 | v0))
% 27.72/4.44 |
% 27.72/4.44 | DELTA: instantiating (t82_zfmisc_1) with fresh symbols all_22_0, all_22_1,
% 27.72/4.44 | all_22_2, all_22_3, all_22_4, all_22_5, all_22_6 gives:
% 27.72/4.44 | (15) ~ (all_22_0 = 0) & inclusion_comparable(all_22_6, all_22_5) =
% 27.72/4.44 | all_22_0 & powerset(all_22_1) = all_22_2 & powerset(all_22_5) =
% 27.72/4.44 | all_22_3 & powerset(all_22_6) = all_22_4 & set_union2(all_22_4,
% 27.72/4.44 | all_22_3) = all_22_2 & set_union2(all_22_6, all_22_5) = all_22_1 &
% 27.72/4.44 | $i(all_22_1) & $i(all_22_2) & $i(all_22_3) & $i(all_22_4) &
% 27.72/4.44 | $i(all_22_5) & $i(all_22_6)
% 27.72/4.44 |
% 27.72/4.44 | ALPHA: (15) implies:
% 27.72/4.44 | (16) ~ (all_22_0 = 0)
% 27.72/4.44 | (17) $i(all_22_6)
% 27.72/4.44 | (18) $i(all_22_5)
% 27.72/4.44 | (19) $i(all_22_4)
% 27.72/4.44 | (20) $i(all_22_3)
% 27.72/4.44 | (21) set_union2(all_22_6, all_22_5) = all_22_1
% 27.72/4.44 | (22) set_union2(all_22_4, all_22_3) = all_22_2
% 27.72/4.44 | (23) powerset(all_22_6) = all_22_4
% 27.72/4.44 | (24) powerset(all_22_5) = all_22_3
% 27.72/4.44 | (25) powerset(all_22_1) = all_22_2
% 27.72/4.44 | (26) inclusion_comparable(all_22_6, all_22_5) = all_22_0
% 27.72/4.45 |
% 27.72/4.45 | GROUND_INST: instantiating (1) with all_22_5, all_22_6, all_22_1, simplifying
% 27.72/4.45 | with (17), (18), (21) gives:
% 27.72/4.45 | (27) set_union2(all_22_5, all_22_6) = all_22_1 & $i(all_22_1)
% 27.72/4.45 |
% 27.72/4.45 | ALPHA: (27) implies:
% 27.72/4.45 | (28) $i(all_22_1)
% 27.72/4.45 | (29) set_union2(all_22_5, all_22_6) = all_22_1
% 27.72/4.45 |
% 27.72/4.45 | GROUND_INST: instantiating (t7_xboole_1) with all_22_6, all_22_5, all_22_1,
% 27.72/4.45 | simplifying with (17), (18), (21) gives:
% 27.72/4.45 | (30) subset(all_22_6, all_22_1) = 0
% 27.72/4.45 |
% 27.72/4.45 | GROUND_INST: instantiating (1) with all_22_3, all_22_4, all_22_2, simplifying
% 27.72/4.45 | with (19), (20), (22) gives:
% 27.72/4.45 | (31) set_union2(all_22_3, all_22_4) = all_22_2 & $i(all_22_2)
% 27.72/4.45 |
% 27.72/4.45 | ALPHA: (31) implies:
% 27.72/4.45 | (32) $i(all_22_2)
% 27.72/4.45 | (33) set_union2(all_22_3, all_22_4) = all_22_2
% 27.72/4.45 |
% 27.72/4.45 | GROUND_INST: instantiating (t7_xboole_1) with all_22_4, all_22_3, all_22_2,
% 27.72/4.45 | simplifying with (19), (20), (22) gives:
% 27.72/4.45 | (34) subset(all_22_4, all_22_2) = 0
% 27.72/4.45 |
% 27.72/4.45 | GROUND_INST: instantiating (12) with all_22_6, all_22_5, all_22_0, simplifying
% 27.72/4.45 | with (17), (18), (26) gives:
% 27.72/4.45 | (35) all_22_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 =
% 27.72/4.45 | 0) & subset(all_22_5, all_22_6) = v1 & subset(all_22_6, all_22_5)
% 27.72/4.45 | = v0)
% 27.72/4.45 |
% 27.72/4.45 | BETA: splitting (35) gives:
% 27.72/4.45 |
% 27.72/4.45 | Case 1:
% 27.72/4.45 | |
% 27.72/4.45 | | (36) all_22_0 = 0
% 27.72/4.45 | |
% 27.72/4.45 | | REDUCE: (16), (36) imply:
% 27.72/4.45 | | (37) $false
% 27.72/4.45 | |
% 27.72/4.45 | | CLOSE: (37) is inconsistent.
% 27.72/4.45 | |
% 27.72/4.45 | Case 2:
% 27.72/4.45 | |
% 27.72/4.45 | | (38) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) &
% 27.72/4.45 | | subset(all_22_5, all_22_6) = v1 & subset(all_22_6, all_22_5) = v0)
% 27.72/4.45 | |
% 27.72/4.45 | | DELTA: instantiating (38) with fresh symbols all_49_0, all_49_1 gives:
% 27.72/4.45 | | (39) ~ (all_49_0 = 0) & ~ (all_49_1 = 0) & subset(all_22_5, all_22_6) =
% 27.72/4.45 | | all_49_0 & subset(all_22_6, all_22_5) = all_49_1
% 27.72/4.45 | |
% 27.72/4.45 | | ALPHA: (39) implies:
% 27.72/4.45 | | (40) ~ (all_49_1 = 0)
% 27.72/4.45 | | (41) ~ (all_49_0 = 0)
% 27.72/4.45 | | (42) subset(all_22_6, all_22_5) = all_49_1
% 27.72/4.45 | | (43) subset(all_22_5, all_22_6) = all_49_0
% 27.72/4.45 | |
% 27.72/4.45 | | GROUND_INST: instantiating (t7_xboole_1) with all_22_5, all_22_6, all_22_1,
% 27.72/4.45 | | simplifying with (17), (18), (29) gives:
% 27.72/4.45 | | (44) subset(all_22_5, all_22_1) = 0
% 27.72/4.45 | |
% 27.72/4.45 | | GROUND_INST: instantiating (t7_xboole_1) with all_22_3, all_22_4, all_22_2,
% 27.72/4.45 | | simplifying with (19), (20), (33) gives:
% 27.72/4.45 | | (45) subset(all_22_3, all_22_2) = 0
% 27.72/4.45 | |
% 27.72/4.45 | | GROUND_INST: instantiating (6) with all_22_5, all_22_3, all_22_6, all_49_1,
% 27.72/4.45 | | simplifying with (17), (18), (20), (24), (42) gives:
% 27.72/4.45 | | (46) all_49_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & in(all_22_6, all_22_3)
% 27.72/4.45 | | = v0)
% 27.72/4.45 | |
% 27.72/4.45 | | GROUND_INST: instantiating (4) with all_22_1, all_22_2, all_22_6,
% 27.72/4.45 | | simplifying with (17), (25), (28), (30), (32) gives:
% 27.72/4.46 | | (47) in(all_22_6, all_22_2) = 0
% 27.72/4.46 | |
% 27.72/4.46 | | GROUND_INST: instantiating (3) with all_22_1, all_22_6, simplifying with
% 27.72/4.46 | | (17), (28), (30) gives:
% 27.72/4.46 | | (48) all_22_1 = all_22_6 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_22_1,
% 27.72/4.46 | | all_22_6) = v0)
% 27.72/4.46 | |
% 27.72/4.46 | | GROUND_INST: instantiating (6) with all_22_6, all_22_4, all_22_5, all_49_0,
% 27.72/4.46 | | simplifying with (17), (18), (19), (23), (43) gives:
% 27.72/4.46 | | (49) all_49_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & in(all_22_5, all_22_4)
% 27.72/4.46 | | = v0)
% 27.72/4.46 | |
% 27.72/4.46 | | GROUND_INST: instantiating (3) with all_22_2, all_22_4, simplifying with
% 27.72/4.46 | | (19), (32), (34) gives:
% 27.72/4.46 | | (50) all_22_2 = all_22_4 | ? [v0: int] : ( ~ (v0 = 0) & subset(all_22_2,
% 27.72/4.46 | | all_22_4) = v0)
% 27.72/4.46 | |
% 27.72/4.46 | | BETA: splitting (46) gives:
% 27.72/4.46 | |
% 27.72/4.46 | | Case 1:
% 27.72/4.46 | | |
% 27.72/4.46 | | | (51) all_49_1 = 0
% 27.72/4.46 | | |
% 27.72/4.46 | | | REDUCE: (40), (51) imply:
% 27.72/4.46 | | | (52) $false
% 27.72/4.46 | | |
% 27.72/4.46 | | | CLOSE: (52) is inconsistent.
% 27.72/4.46 | | |
% 27.72/4.46 | | Case 2:
% 27.72/4.46 | | |
% 27.72/4.46 | | | (53) ? [v0: int] : ( ~ (v0 = 0) & in(all_22_6, all_22_3) = v0)
% 27.72/4.46 | | |
% 27.72/4.46 | | | DELTA: instantiating (53) with fresh symbol all_81_0 gives:
% 27.72/4.46 | | | (54) ~ (all_81_0 = 0) & in(all_22_6, all_22_3) = all_81_0
% 27.72/4.46 | | |
% 27.72/4.46 | | | ALPHA: (54) implies:
% 27.72/4.46 | | | (55) ~ (all_81_0 = 0)
% 27.72/4.46 | | | (56) in(all_22_6, all_22_3) = all_81_0
% 27.72/4.46 | | |
% 27.72/4.46 | | | BETA: splitting (49) gives:
% 27.72/4.46 | | |
% 27.72/4.46 | | | Case 1:
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | (57) all_49_0 = 0
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | REDUCE: (41), (57) imply:
% 27.72/4.46 | | | | (58) $false
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | CLOSE: (58) is inconsistent.
% 27.72/4.46 | | | |
% 27.72/4.46 | | | Case 2:
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | (59) ? [v0: int] : ( ~ (v0 = 0) & in(all_22_5, all_22_4) = v0)
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | DELTA: instantiating (59) with fresh symbol all_86_0 gives:
% 27.72/4.46 | | | | (60) ~ (all_86_0 = 0) & in(all_22_5, all_22_4) = all_86_0
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | ALPHA: (60) implies:
% 27.72/4.46 | | | | (61) ~ (all_86_0 = 0)
% 27.72/4.46 | | | | (62) in(all_22_5, all_22_4) = all_86_0
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | GROUND_INST: instantiating (9) with all_22_4, all_22_3, all_22_2,
% 27.72/4.46 | | | | all_22_6, all_81_0, simplifying with (17), (19), (20),
% 27.72/4.46 | | | | (22), (32), (56) gives:
% 27.72/4.46 | | | | (63) ? [v0: any] : ? [v1: any] : (in(all_22_6, all_22_2) = v1 &
% 27.72/4.46 | | | | in(all_22_6, all_22_4) = v0 & (v1 = 0 | ( ~ (v0 = 0) & ~
% 27.72/4.46 | | | | (all_81_0 = 0))))
% 27.72/4.46 | | | |
% 27.72/4.46 | | | | GROUND_INST: instantiating (7) with all_22_3, all_22_4, all_22_2,
% 27.72/4.46 | | | | all_22_6, simplifying with (17), (19), (20), (32), (33),
% 27.72/4.46 | | | | (47) gives:
% 27.72/4.46 | | | | (64) ? [v0: any] : ? [v1: any] : (in(all_22_6, all_22_3) = v0 &
% 27.72/4.46 | | | | in(all_22_6, all_22_4) = v1 & (v1 = 0 | v0 = 0))
% 28.06/4.46 | | | |
% 28.06/4.46 | | | | GROUND_INST: instantiating (7) with all_22_4, all_22_3, all_22_2,
% 28.06/4.46 | | | | all_22_6, simplifying with (17), (19), (20), (22), (32),
% 28.06/4.46 | | | | (47) gives:
% 28.06/4.46 | | | | (65) ? [v0: any] : ? [v1: any] : (in(all_22_6, all_22_3) = v1 &
% 28.06/4.46 | | | | in(all_22_6, all_22_4) = v0 & (v1 = 0 | v0 = 0))
% 28.06/4.46 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (8) with all_22_4, all_22_3, all_22_2,
% 28.06/4.47 | | | | all_22_5, all_86_0, simplifying with (18), (19), (20),
% 28.06/4.47 | | | | (22), (32), (62) gives:
% 28.06/4.47 | | | | (66) ? [v0: any] : ? [v1: any] : (in(all_22_5, all_22_2) = v1 &
% 28.06/4.47 | | | | in(all_22_5, all_22_3) = v0 & (v1 = 0 | ( ~ (v0 = 0) & ~
% 28.06/4.47 | | | | (all_86_0 = 0))))
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (4) with all_22_1, all_22_2, all_22_5,
% 28.06/4.47 | | | | simplifying with (18), (25), (28), (32), (44) gives:
% 28.06/4.47 | | | | (67) in(all_22_5, all_22_2) = 0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (3) with all_22_1, all_22_5, simplifying with
% 28.06/4.47 | | | | (18), (28), (44) gives:
% 28.06/4.47 | | | | (68) all_22_1 = all_22_5 | ? [v0: int] : ( ~ (v0 = 0) &
% 28.06/4.47 | | | | subset(all_22_1, all_22_5) = v0)
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (3) with all_22_2, all_22_3, simplifying with
% 28.06/4.47 | | | | (20), (32), (45) gives:
% 28.06/4.47 | | | | (69) all_22_2 = all_22_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 28.06/4.47 | | | | subset(all_22_2, all_22_3) = v0)
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | DELTA: instantiating (65) with fresh symbols all_112_0, all_112_1 gives:
% 28.06/4.47 | | | | (70) in(all_22_6, all_22_3) = all_112_0 & in(all_22_6, all_22_4) =
% 28.06/4.47 | | | | all_112_1 & (all_112_0 = 0 | all_112_1 = 0)
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | ALPHA: (70) implies:
% 28.06/4.47 | | | | (71) in(all_22_6, all_22_3) = all_112_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | DELTA: instantiating (64) with fresh symbols all_118_0, all_118_1 gives:
% 28.06/4.47 | | | | (72) in(all_22_6, all_22_3) = all_118_1 & in(all_22_6, all_22_4) =
% 28.06/4.47 | | | | all_118_0 & (all_118_0 = 0 | all_118_1 = 0)
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | ALPHA: (72) implies:
% 28.06/4.47 | | | | (73) in(all_22_6, all_22_3) = all_118_1
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | DELTA: instantiating (63) with fresh symbols all_120_0, all_120_1 gives:
% 28.06/4.47 | | | | (74) in(all_22_6, all_22_2) = all_120_0 & in(all_22_6, all_22_4) =
% 28.06/4.47 | | | | all_120_1 & (all_120_0 = 0 | ( ~ (all_120_1 = 0) & ~ (all_81_0
% 28.06/4.47 | | | | = 0)))
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | ALPHA: (74) implies:
% 28.06/4.47 | | | | (75) in(all_22_6, all_22_2) = all_120_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | DELTA: instantiating (66) with fresh symbols all_122_0, all_122_1 gives:
% 28.06/4.47 | | | | (76) in(all_22_5, all_22_2) = all_122_0 & in(all_22_5, all_22_3) =
% 28.06/4.47 | | | | all_122_1 & (all_122_0 = 0 | ( ~ (all_122_1 = 0) & ~ (all_86_0
% 28.06/4.47 | | | | = 0)))
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | ALPHA: (76) implies:
% 28.06/4.47 | | | | (77) in(all_22_5, all_22_2) = all_122_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (14) with all_81_0, all_118_1, all_22_3,
% 28.06/4.47 | | | | all_22_6, simplifying with (56), (73) gives:
% 28.06/4.47 | | | | (78) all_118_1 = all_81_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (14) with all_112_0, all_118_1, all_22_3,
% 28.06/4.47 | | | | all_22_6, simplifying with (71), (73) gives:
% 28.06/4.47 | | | | (79) all_118_1 = all_112_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (14) with 0, all_120_0, all_22_2, all_22_6,
% 28.06/4.47 | | | | simplifying with (47), (75) gives:
% 28.06/4.47 | | | | (80) all_120_0 = 0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | GROUND_INST: instantiating (14) with 0, all_122_0, all_22_2, all_22_5,
% 28.06/4.47 | | | | simplifying with (67), (77) gives:
% 28.06/4.47 | | | | (81) all_122_0 = 0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | COMBINE_EQS: (78), (79) imply:
% 28.06/4.47 | | | | (82) all_112_0 = all_81_0
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | BETA: splitting (50) gives:
% 28.06/4.47 | | | |
% 28.06/4.47 | | | | Case 1:
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | (83) all_22_2 = all_22_4
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | REDUCE: (67), (83) imply:
% 28.06/4.47 | | | | | (84) in(all_22_5, all_22_4) = 0
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | GROUND_INST: instantiating (14) with all_86_0, 0, all_22_4, all_22_5,
% 28.06/4.47 | | | | | simplifying with (62), (84) gives:
% 28.06/4.47 | | | | | (85) all_86_0 = 0
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | REDUCE: (61), (85) imply:
% 28.06/4.47 | | | | | (86) $false
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | CLOSE: (86) is inconsistent.
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | Case 2:
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | (87) ~ (all_22_2 = all_22_4)
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | BETA: splitting (48) gives:
% 28.06/4.47 | | | | |
% 28.06/4.47 | | | | | Case 1:
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | (88) all_22_1 = all_22_6
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | REDUCE: (25), (88) imply:
% 28.06/4.47 | | | | | | (89) powerset(all_22_6) = all_22_2
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | GROUND_INST: instantiating (13) with all_22_4, all_22_2, all_22_6,
% 28.06/4.47 | | | | | | simplifying with (23), (89) gives:
% 28.06/4.47 | | | | | | (90) all_22_2 = all_22_4
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | REDUCE: (87), (90) imply:
% 28.06/4.47 | | | | | | (91) $false
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | CLOSE: (91) is inconsistent.
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | Case 2:
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | (92) ? [v0: int] : ( ~ (v0 = 0) & subset(all_22_1, all_22_6) =
% 28.06/4.47 | | | | | | v0)
% 28.06/4.47 | | | | | |
% 28.06/4.47 | | | | | | DELTA: instantiating (92) with fresh symbol all_279_0 gives:
% 28.06/4.48 | | | | | | (93) ~ (all_279_0 = 0) & subset(all_22_1, all_22_6) = all_279_0
% 28.06/4.48 | | | | | |
% 28.06/4.48 | | | | | | ALPHA: (93) implies:
% 28.06/4.48 | | | | | | (94) ~ (all_279_0 = 0)
% 28.06/4.48 | | | | | | (95) subset(all_22_1, all_22_6) = all_279_0
% 28.06/4.48 | | | | | |
% 28.06/4.48 | | | | | | BETA: splitting (69) gives:
% 28.06/4.48 | | | | | |
% 28.06/4.48 | | | | | | Case 1:
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | (96) all_22_2 = all_22_3
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | REDUCE: (47), (96) imply:
% 28.06/4.48 | | | | | | | (97) in(all_22_6, all_22_3) = 0
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | GROUND_INST: instantiating (14) with all_81_0, 0, all_22_3,
% 28.06/4.48 | | | | | | | all_22_6, simplifying with (56), (97) gives:
% 28.06/4.48 | | | | | | | (98) all_81_0 = 0
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | REDUCE: (55), (98) imply:
% 28.06/4.48 | | | | | | | (99) $false
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | CLOSE: (99) is inconsistent.
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | Case 2:
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | (100) ~ (all_22_2 = all_22_3)
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | BETA: splitting (68) gives:
% 28.06/4.48 | | | | | | |
% 28.06/4.48 | | | | | | | Case 1:
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | (101) all_22_1 = all_22_5
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | REDUCE: (25), (101) imply:
% 28.06/4.48 | | | | | | | | (102) powerset(all_22_5) = all_22_2
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | GROUND_INST: instantiating (13) with all_22_3, all_22_2,
% 28.06/4.48 | | | | | | | | all_22_5, simplifying with (24), (102) gives:
% 28.06/4.48 | | | | | | | | (103) all_22_2 = all_22_3
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | REDUCE: (100), (103) imply:
% 28.06/4.48 | | | | | | | | (104) $false
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | CLOSE: (104) is inconsistent.
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | Case 2:
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | (105) ? [v0: int] : ( ~ (v0 = 0) & subset(all_22_1,
% 28.06/4.48 | | | | | | | | all_22_5) = v0)
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | DELTA: instantiating (105) with fresh symbol all_295_0 gives:
% 28.06/4.48 | | | | | | | | (106) ~ (all_295_0 = 0) & subset(all_22_1, all_22_5) =
% 28.06/4.48 | | | | | | | | all_295_0
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | ALPHA: (106) implies:
% 28.06/4.48 | | | | | | | | (107) ~ (all_295_0 = 0)
% 28.06/4.48 | | | | | | | | (108) subset(all_22_1, all_22_5) = all_295_0
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | GROUND_INST: instantiating (6) with all_22_6, all_22_4,
% 28.06/4.48 | | | | | | | | all_22_1, all_279_0, simplifying with (17), (19),
% 28.06/4.48 | | | | | | | | (23), (28), (95) gives:
% 28.06/4.48 | | | | | | | | (109) all_279_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 28.06/4.48 | | | | | | | | in(all_22_1, all_22_4) = v0)
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | GROUND_INST: instantiating (6) with all_22_5, all_22_3,
% 28.06/4.48 | | | | | | | | all_22_1, all_295_0, simplifying with (18), (20),
% 28.06/4.48 | | | | | | | | (24), (28), (108) gives:
% 28.06/4.48 | | | | | | | | (110) all_295_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 28.06/4.48 | | | | | | | | in(all_22_1, all_22_3) = v0)
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | BETA: splitting (110) gives:
% 28.06/4.48 | | | | | | | |
% 28.06/4.48 | | | | | | | | Case 1:
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | (111) all_295_0 = 0
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | REDUCE: (107), (111) imply:
% 28.06/4.48 | | | | | | | | | (112) $false
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | CLOSE: (112) is inconsistent.
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | Case 2:
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | (113) ? [v0: int] : ( ~ (v0 = 0) & in(all_22_1, all_22_3)
% 28.06/4.48 | | | | | | | | | = v0)
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | DELTA: instantiating (113) with fresh symbol all_310_0 gives:
% 28.06/4.48 | | | | | | | | | (114) ~ (all_310_0 = 0) & in(all_22_1, all_22_3) =
% 28.06/4.48 | | | | | | | | | all_310_0
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | ALPHA: (114) implies:
% 28.06/4.48 | | | | | | | | | (115) ~ (all_310_0 = 0)
% 28.06/4.48 | | | | | | | | | (116) in(all_22_1, all_22_3) = all_310_0
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | BETA: splitting (109) gives:
% 28.06/4.48 | | | | | | | | |
% 28.06/4.48 | | | | | | | | | Case 1:
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | (117) all_279_0 = 0
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | REDUCE: (94), (117) imply:
% 28.06/4.48 | | | | | | | | | | (118) $false
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | CLOSE: (118) is inconsistent.
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | Case 2:
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | (119) ? [v0: int] : ( ~ (v0 = 0) & in(all_22_1,
% 28.06/4.48 | | | | | | | | | | all_22_4) = v0)
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | DELTA: instantiating (119) with fresh symbol all_315_0
% 28.06/4.48 | | | | | | | | | | gives:
% 28.06/4.48 | | | | | | | | | | (120) ~ (all_315_0 = 0) & in(all_22_1, all_22_4) =
% 28.06/4.48 | | | | | | | | | | all_315_0
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | ALPHA: (120) implies:
% 28.06/4.48 | | | | | | | | | | (121) ~ (all_315_0 = 0)
% 28.06/4.48 | | | | | | | | | | (122) in(all_22_1, all_22_4) = all_315_0
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | GROUND_INST: instantiating (10) with all_22_4, all_22_3,
% 28.06/4.48 | | | | | | | | | | all_22_2, all_22_1, all_315_0, simplifying with
% 28.06/4.48 | | | | | | | | | | (19), (20), (22), (28), (32), (122) gives:
% 28.06/4.48 | | | | | | | | | | (123) all_315_0 = 0 | ? [v0: any] : ? [v1: any] :
% 28.06/4.48 | | | | | | | | | | (in(all_22_1, all_22_2) = v0 & in(all_22_1,
% 28.06/4.48 | | | | | | | | | | all_22_3) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | GROUND_INST: instantiating (8) with all_22_4, all_22_3,
% 28.06/4.48 | | | | | | | | | | all_22_2, all_22_1, all_315_0, simplifying with
% 28.06/4.48 | | | | | | | | | | (19), (20), (22), (28), (32), (122) gives:
% 28.06/4.48 | | | | | | | | | | (124) ? [v0: any] : ? [v1: any] : (in(all_22_1,
% 28.06/4.48 | | | | | | | | | | all_22_2) = v1 & in(all_22_1, all_22_3) = v0 &
% 28.06/4.48 | | | | | | | | | | (v1 = 0 | ( ~ (v0 = 0) & ~ (all_315_0 = 0))))
% 28.06/4.48 | | | | | | | | | |
% 28.06/4.48 | | | | | | | | | | GROUND_INST: instantiating (11) with all_22_4, all_22_3,
% 28.06/4.48 | | | | | | | | | | all_22_2, all_22_1, all_310_0, simplifying with
% 28.06/4.48 | | | | | | | | | | (19), (20), (22), (28), (32), (116) gives:
% 28.06/4.49 | | | | | | | | | | (125) all_310_0 = 0 | ? [v0: any] : ? [v1: any] :
% 28.06/4.49 | | | | | | | | | | (in(all_22_1, all_22_2) = v0 & in(all_22_1,
% 28.06/4.49 | | | | | | | | | | all_22_4) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | GROUND_INST: instantiating (9) with all_22_4, all_22_3,
% 28.06/4.49 | | | | | | | | | | all_22_2, all_22_1, all_310_0, simplifying with
% 28.06/4.49 | | | | | | | | | | (19), (20), (22), (28), (32), (116) gives:
% 28.06/4.49 | | | | | | | | | | (126) ? [v0: any] : ? [v1: any] : (in(all_22_1,
% 28.06/4.49 | | | | | | | | | | all_22_2) = v1 & in(all_22_1, all_22_4) = v0 &
% 28.06/4.49 | | | | | | | | | | (v1 = 0 | ( ~ (v0 = 0) & ~ (all_310_0 = 0))))
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | DELTA: instantiating (126) with fresh symbols all_370_0,
% 28.06/4.49 | | | | | | | | | | all_370_1 gives:
% 28.06/4.49 | | | | | | | | | | (127) in(all_22_1, all_22_2) = all_370_0 & in(all_22_1,
% 28.06/4.49 | | | | | | | | | | all_22_4) = all_370_1 & (all_370_0 = 0 | ( ~
% 28.06/4.49 | | | | | | | | | | (all_370_1 = 0) & ~ (all_310_0 = 0)))
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | ALPHA: (127) implies:
% 28.06/4.49 | | | | | | | | | | (128) in(all_22_1, all_22_4) = all_370_1
% 28.06/4.49 | | | | | | | | | | (129) in(all_22_1, all_22_2) = all_370_0
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | DELTA: instantiating (124) with fresh symbols all_374_0,
% 28.06/4.49 | | | | | | | | | | all_374_1 gives:
% 28.06/4.49 | | | | | | | | | | (130) in(all_22_1, all_22_2) = all_374_0 & in(all_22_1,
% 28.06/4.49 | | | | | | | | | | all_22_3) = all_374_1 & (all_374_0 = 0 | ( ~
% 28.06/4.49 | | | | | | | | | | (all_374_1 = 0) & ~ (all_315_0 = 0)))
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | ALPHA: (130) implies:
% 28.06/4.49 | | | | | | | | | | (131) in(all_22_1, all_22_2) = all_374_0
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | GROUND_INST: instantiating (14) with all_315_0, all_370_1,
% 28.06/4.49 | | | | | | | | | | all_22_4, all_22_1, simplifying with (122), (128)
% 28.06/4.49 | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | (132) all_370_1 = all_315_0
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | GROUND_INST: instantiating (14) with all_370_0, all_374_0,
% 28.06/4.49 | | | | | | | | | | all_22_2, all_22_1, simplifying with (129), (131)
% 28.06/4.49 | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | (133) all_374_0 = all_370_0
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | BETA: splitting (125) gives:
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | Case 1:
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | (134) all_310_0 = 0
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | REDUCE: (115), (134) imply:
% 28.06/4.49 | | | | | | | | | | | (135) $false
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | CLOSE: (135) is inconsistent.
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | Case 2:
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | (136) ? [v0: any] : ? [v1: any] : (in(all_22_1,
% 28.06/4.49 | | | | | | | | | | | all_22_2) = v0 & in(all_22_1, all_22_4) = v1 &
% 28.06/4.49 | | | | | | | | | | | ( ~ (v0 = 0) | v1 = 0))
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | DELTA: instantiating (136) with fresh symbols all_384_0,
% 28.06/4.49 | | | | | | | | | | | all_384_1 gives:
% 28.06/4.49 | | | | | | | | | | | (137) in(all_22_1, all_22_2) = all_384_1 & in(all_22_1,
% 28.06/4.49 | | | | | | | | | | | all_22_4) = all_384_0 & ( ~ (all_384_1 = 0) |
% 28.06/4.49 | | | | | | | | | | | all_384_0 = 0)
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | ALPHA: (137) implies:
% 28.06/4.49 | | | | | | | | | | | (138) in(all_22_1, all_22_4) = all_384_0
% 28.06/4.49 | | | | | | | | | | | (139) in(all_22_1, all_22_2) = all_384_1
% 28.06/4.49 | | | | | | | | | | | (140) ~ (all_384_1 = 0) | all_384_0 = 0
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | BETA: splitting (123) gives:
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | Case 1:
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | (141) all_315_0 = 0
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | REDUCE: (121), (141) imply:
% 28.06/4.49 | | | | | | | | | | | | (142) $false
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | CLOSE: (142) is inconsistent.
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | Case 2:
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | (143) ? [v0: any] : ? [v1: any] : (in(all_22_1,
% 28.06/4.49 | | | | | | | | | | | | all_22_2) = v0 & in(all_22_1, all_22_3) = v1 &
% 28.06/4.49 | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = 0))
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | DELTA: instantiating (143) with fresh symbols all_390_0,
% 28.06/4.49 | | | | | | | | | | | | all_390_1 gives:
% 28.06/4.49 | | | | | | | | | | | | (144) in(all_22_1, all_22_2) = all_390_1 & in(all_22_1,
% 28.06/4.49 | | | | | | | | | | | | all_22_3) = all_390_0 & ( ~ (all_390_1 = 0) |
% 28.06/4.49 | | | | | | | | | | | | all_390_0 = 0)
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | ALPHA: (144) implies:
% 28.06/4.49 | | | | | | | | | | | | (145) in(all_22_1, all_22_2) = all_390_1
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_315_0, all_384_0,
% 28.06/4.49 | | | | | | | | | | | | all_22_4, all_22_1, simplifying with (122), (138)
% 28.06/4.49 | | | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | | | (146) all_384_0 = all_315_0
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_370_0, all_390_1,
% 28.06/4.49 | | | | | | | | | | | | all_22_2, all_22_1, simplifying with (129), (145)
% 28.06/4.49 | | | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | | | (147) all_390_1 = all_370_0
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_384_1, all_390_1,
% 28.06/4.49 | | | | | | | | | | | | all_22_2, all_22_1, simplifying with (139), (145)
% 28.06/4.49 | | | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | | | (148) all_390_1 = all_384_1
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | COMBINE_EQS: (147), (148) imply:
% 28.06/4.49 | | | | | | | | | | | | (149) all_384_1 = all_370_0
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | BETA: splitting (140) gives:
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | Case 1:
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | (150) ~ (all_384_1 = 0)
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | REDUCE: (149), (150) imply:
% 28.06/4.49 | | | | | | | | | | | | | (151) ~ (all_370_0 = 0)
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_22_1, all_22_2,
% 28.06/4.49 | | | | | | | | | | | | | all_22_1, all_370_0, simplifying with (25), (28),
% 28.06/4.49 | | | | | | | | | | | | | (32), (129) gives:
% 28.06/4.49 | | | | | | | | | | | | | (152) all_370_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 28.06/4.49 | | | | | | | | | | | | | subset(all_22_1, all_22_1) = v0)
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | BETA: splitting (152) gives:
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | Case 1:
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | (153) all_370_0 = 0
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | REDUCE: (151), (153) imply:
% 28.06/4.49 | | | | | | | | | | | | | | (154) $false
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | Case 2:
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | (155) ? [v0: int] : ( ~ (v0 = 0) & subset(all_22_1,
% 28.06/4.49 | | | | | | | | | | | | | | all_22_1) = v0)
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | DELTA: instantiating (155) with fresh symbol all_491_0
% 28.06/4.49 | | | | | | | | | | | | | | gives:
% 28.06/4.49 | | | | | | | | | | | | | | (156) ~ (all_491_0 = 0) & subset(all_22_1, all_22_1) =
% 28.06/4.49 | | | | | | | | | | | | | | all_491_0
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | ALPHA: (156) implies:
% 28.06/4.49 | | | | | | | | | | | | | | (157) ~ (all_491_0 = 0)
% 28.06/4.49 | | | | | | | | | | | | | | (158) subset(all_22_1, all_22_1) = all_491_0
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_22_1, all_491_0,
% 28.06/4.49 | | | | | | | | | | | | | | simplifying with (28), (158) gives:
% 28.06/4.49 | | | | | | | | | | | | | | (159) all_491_0 = 0
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | REDUCE: (157), (159) imply:
% 28.06/4.49 | | | | | | | | | | | | | | (160) $false
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 28.06/4.49 | | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | End of split
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | Case 2:
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | (161) all_384_0 = 0
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | COMBINE_EQS: (146), (161) imply:
% 28.06/4.49 | | | | | | | | | | | | | (162) all_315_0 = 0
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | SIMP: (162) implies:
% 28.06/4.49 | | | | | | | | | | | | | (163) all_315_0 = 0
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | REDUCE: (121), (163) imply:
% 28.06/4.49 | | | | | | | | | | | | | (164) $false
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 28.06/4.49 | | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | | End of split
% 28.06/4.49 | | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | | End of split
% 28.06/4.49 | | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | | End of split
% 28.06/4.49 | | | | | | | | | |
% 28.06/4.49 | | | | | | | | | End of split
% 28.06/4.49 | | | | | | | | |
% 28.06/4.49 | | | | | | | | End of split
% 28.06/4.49 | | | | | | | |
% 28.06/4.49 | | | | | | | End of split
% 28.06/4.49 | | | | | | |
% 28.06/4.49 | | | | | | End of split
% 28.06/4.49 | | | | | |
% 28.06/4.49 | | | | | End of split
% 28.06/4.49 | | | | |
% 28.06/4.49 | | | | End of split
% 28.06/4.49 | | | |
% 28.06/4.49 | | | End of split
% 28.06/4.49 | | |
% 28.06/4.49 | | End of split
% 28.06/4.49 | |
% 28.06/4.49 | End of split
% 28.06/4.49 |
% 28.06/4.49 End of proof
% 28.06/4.49 % SZS output end Proof for theBenchmark
% 28.06/4.49
% 28.06/4.49 3874ms
%------------------------------------------------------------------------------