TSTP Solution File: MGT053+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n013.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 09:16:29 EDT 2023
% Result : Theorem 5.94s 1.57s
% Output : Proof 7.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 06:15:17 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.13/1.04 Prover 1: Preprocessing ...
% 2.13/1.04 Prover 4: Preprocessing ...
% 2.51/1.09 Prover 5: Preprocessing ...
% 2.51/1.09 Prover 2: Preprocessing ...
% 2.51/1.09 Prover 6: Preprocessing ...
% 2.51/1.09 Prover 0: Preprocessing ...
% 2.51/1.09 Prover 3: Preprocessing ...
% 3.65/1.27 Prover 5: Proving ...
% 3.65/1.28 Prover 2: Proving ...
% 3.65/1.33 Prover 6: Constructing countermodel ...
% 3.65/1.33 Prover 1: Constructing countermodel ...
% 3.65/1.33 Prover 3: Constructing countermodel ...
% 4.49/1.43 Prover 4: Constructing countermodel ...
% 4.49/1.46 Prover 0: Proving ...
% 5.94/1.57 Prover 6: proved (942ms)
% 5.94/1.57
% 5.94/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.94/1.57
% 5.94/1.57 Prover 3: proved (949ms)
% 5.94/1.57
% 5.94/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.94/1.57
% 5.94/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.94/1.57 Prover 0: stopped
% 5.94/1.57 Prover 2: stopped
% 5.94/1.58 Prover 5: stopped
% 5.94/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.94/1.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.94/1.58 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.94/1.58 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.13/1.60 Prover 10: Preprocessing ...
% 6.13/1.61 Prover 8: Preprocessing ...
% 6.13/1.61 Prover 11: Preprocessing ...
% 6.13/1.61 Prover 7: Preprocessing ...
% 6.13/1.62 Prover 13: Preprocessing ...
% 6.41/1.64 Prover 7: Warning: ignoring some quantifiers
% 6.41/1.65 Prover 7: Constructing countermodel ...
% 6.41/1.66 Prover 13: Warning: ignoring some quantifiers
% 6.41/1.67 Prover 1: Found proof (size 81)
% 6.41/1.67 Prover 1: proved (1052ms)
% 6.41/1.67 Prover 4: stopped
% 6.41/1.68 Prover 13: Constructing countermodel ...
% 6.41/1.68 Prover 10: Warning: ignoring some quantifiers
% 6.41/1.68 Prover 10: Constructing countermodel ...
% 6.41/1.68 Prover 7: stopped
% 6.41/1.68 Prover 13: stopped
% 6.41/1.68 Prover 10: stopped
% 6.41/1.70 Prover 8: Warning: ignoring some quantifiers
% 6.41/1.70 Prover 8: Constructing countermodel ...
% 6.94/1.71 Prover 8: stopped
% 6.94/1.74 Prover 11: Constructing countermodel ...
% 6.94/1.75 Prover 11: stopped
% 6.94/1.75
% 6.94/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/1.75
% 6.94/1.76 % SZS output start Proof for theBenchmark
% 6.94/1.76 Assumptions after simplification:
% 6.94/1.76 ---------------------------------
% 6.94/1.76
% 6.94/1.76 (definition_2)
% 7.27/1.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 7.27/1.79 (dissimilar(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 7.27/1.79 any] : ? [v5: any] : ? [v6: any] : (organization(v0) = v4 &
% 7.27/1.79 is_aligned(v0, v2) = v6 & is_aligned(v0, v1) = v5 & ( ~ (v4 = 0) | (( ~
% 7.27/1.79 (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0))))) & ! [v0: $i] : !
% 7.27/1.79 [v1: $i] : ! [v2: $i] : ( ~ (dissimilar(v0, v1, v2) = 0) | ~ $i(v2) | ~
% 7.27/1.79 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (organization(v0) = 0 &
% 7.27/1.79 is_aligned(v0, v2) = v4 & is_aligned(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3
% 7.27/1.80 = 0)) & (v4 = 0 | v3 = 0)))
% 7.27/1.80
% 7.27/1.80 (lemma_7)
% 7.27/1.80 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: any] :
% 7.27/1.80 (dissimilar(v0, v2, v1) = v4 & dissimilar(v0, v1, v2) = v3 & $i(v2) & $i(v1) &
% 7.27/1.80 $i(v0) & ((v4 = 0 & ~ (v3 = 0)) | (v3 = 0 & ~ (v4 = 0))))
% 7.27/1.80
% 7.27/1.80 (function-axioms)
% 7.27/1.80 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 7.27/1.80 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (dissimilar(v4, v3, v2) = v1) | ~
% 7.27/1.80 (dissimilar(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.27/1.80 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.27/1.80 (is_aligned(v3, v2) = v1) | ~ (is_aligned(v3, v2) = v0)) & ! [v0:
% 7.27/1.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 7.27/1.80 : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2)
% 7.27/1.80 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 7.27/1.80 $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3,
% 7.27/1.80 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 7.27/1.80 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~
% 7.27/1.80 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.27/1.80 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (smaller(v3,
% 7.27/1.80 v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 7.27/1.80 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1)
% 7.27/1.80 | ~ (organization(v2) = v0))
% 7.27/1.80
% 7.27/1.80 Further assumptions not needed in the proof:
% 7.27/1.80 --------------------------------------------
% 7.27/1.80 definition_greater_or_equal, definition_smaller, definition_smaller_or_equal,
% 7.27/1.81 meaning_postulate_greater_comparable, meaning_postulate_greater_strict,
% 7.27/1.81 meaning_postulate_greater_transitive
% 7.27/1.81
% 7.27/1.81 Those formulas are unsatisfiable:
% 7.27/1.81 ---------------------------------
% 7.27/1.81
% 7.27/1.81 Begin of proof
% 7.27/1.81 |
% 7.27/1.81 | ALPHA: (definition_2) implies:
% 7.27/1.81 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (dissimilar(v0, v1, v2) =
% 7.27/1.81 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 7.27/1.81 | any] : (organization(v0) = 0 & is_aligned(v0, v2) = v4 &
% 7.27/1.81 | is_aligned(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 |
% 7.27/1.81 | v3 = 0)))
% 7.27/1.81 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 7.27/1.81 | (dissimilar(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 7.27/1.81 | ? [v4: any] : ? [v5: any] : ? [v6: any] : (organization(v0) = v4 &
% 7.27/1.81 | is_aligned(v0, v2) = v6 & is_aligned(v0, v1) = v5 & ( ~ (v4 = 0) |
% 7.27/1.81 | (( ~ (v6 = 0) | v5 = 0) & ( ~ (v5 = 0) | v6 = 0)))))
% 7.27/1.81 |
% 7.27/1.81 | ALPHA: (function-axioms) implies:
% 7.27/1.81 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.27/1.82 | (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 7.27/1.82 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.27/1.82 | ! [v3: $i] : (v1 = v0 | ~ (is_aligned(v3, v2) = v1) | ~
% 7.27/1.82 | (is_aligned(v3, v2) = v0))
% 7.27/1.82 |
% 7.27/1.82 | DELTA: instantiating (lemma_7) with fresh symbols all_10_0, all_10_1,
% 7.27/1.82 | all_10_2, all_10_3, all_10_4 gives:
% 7.27/1.82 | (5) dissimilar(all_10_4, all_10_2, all_10_3) = all_10_0 &
% 7.27/1.82 | dissimilar(all_10_4, all_10_3, all_10_2) = all_10_1 & $i(all_10_2) &
% 7.27/1.82 | $i(all_10_3) & $i(all_10_4) & ((all_10_0 = 0 & ~ (all_10_1 = 0)) |
% 7.27/1.82 | (all_10_1 = 0 & ~ (all_10_0 = 0)))
% 7.27/1.82 |
% 7.27/1.82 | ALPHA: (5) implies:
% 7.27/1.82 | (6) $i(all_10_4)
% 7.27/1.82 | (7) $i(all_10_3)
% 7.27/1.82 | (8) $i(all_10_2)
% 7.27/1.82 | (9) dissimilar(all_10_4, all_10_3, all_10_2) = all_10_1
% 7.27/1.82 | (10) dissimilar(all_10_4, all_10_2, all_10_3) = all_10_0
% 7.27/1.82 | (11) (all_10_0 = 0 & ~ (all_10_1 = 0)) | (all_10_1 = 0 & ~ (all_10_0 =
% 7.27/1.82 | 0))
% 7.27/1.82 |
% 7.27/1.82 | GROUND_INST: instantiating (2) with all_10_4, all_10_3, all_10_2, all_10_1,
% 7.27/1.82 | simplifying with (6), (7), (8), (9) gives:
% 7.27/1.82 | (12) all_10_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 7.27/1.82 | (organization(all_10_4) = v0 & is_aligned(all_10_4, all_10_2) = v2 &
% 7.27/1.82 | is_aligned(all_10_4, all_10_3) = v1 & ( ~ (v0 = 0) | (( ~ (v2 = 0) |
% 7.27/1.82 | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 7.27/1.82 |
% 7.27/1.82 | GROUND_INST: instantiating (2) with all_10_4, all_10_2, all_10_3, all_10_0,
% 7.27/1.82 | simplifying with (6), (7), (8), (10) gives:
% 7.27/1.83 | (13) all_10_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 7.27/1.83 | (organization(all_10_4) = v0 & is_aligned(all_10_4, all_10_2) = v1 &
% 7.27/1.83 | is_aligned(all_10_4, all_10_3) = v2 & ( ~ (v0 = 0) | (( ~ (v2 = 0) |
% 7.27/1.83 | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 7.27/1.83 |
% 7.27/1.83 | BETA: splitting (11) gives:
% 7.27/1.83 |
% 7.27/1.83 | Case 1:
% 7.27/1.83 | |
% 7.27/1.83 | | (14) all_10_0 = 0 & ~ (all_10_1 = 0)
% 7.27/1.83 | |
% 7.27/1.83 | | ALPHA: (14) implies:
% 7.27/1.83 | | (15) all_10_0 = 0
% 7.27/1.83 | | (16) ~ (all_10_1 = 0)
% 7.27/1.83 | |
% 7.27/1.83 | | REDUCE: (10), (15) imply:
% 7.27/1.83 | | (17) dissimilar(all_10_4, all_10_2, all_10_3) = 0
% 7.27/1.83 | |
% 7.27/1.83 | | BETA: splitting (12) gives:
% 7.27/1.83 | |
% 7.27/1.83 | | Case 1:
% 7.27/1.83 | | |
% 7.27/1.83 | | | (18) all_10_1 = 0
% 7.27/1.83 | | |
% 7.27/1.83 | | | REDUCE: (16), (18) imply:
% 7.27/1.83 | | | (19) $false
% 7.27/1.83 | | |
% 7.27/1.83 | | | CLOSE: (19) is inconsistent.
% 7.27/1.83 | | |
% 7.27/1.83 | | Case 2:
% 7.27/1.83 | | |
% 7.27/1.83 | | | (20) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 7.27/1.83 | | | (organization(all_10_4) = v0 & is_aligned(all_10_4, all_10_2) = v2
% 7.27/1.83 | | | & is_aligned(all_10_4, all_10_3) = v1 & ( ~ (v0 = 0) | (( ~ (v2
% 7.27/1.83 | | | = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 7.27/1.83 | | |
% 7.27/1.83 | | | DELTA: instantiating (20) with fresh symbols all_23_0, all_23_1, all_23_2
% 7.27/1.83 | | | gives:
% 7.27/1.83 | | | (21) organization(all_10_4) = all_23_2 & is_aligned(all_10_4, all_10_2)
% 7.27/1.83 | | | = all_23_0 & is_aligned(all_10_4, all_10_3) = all_23_1 & ( ~
% 7.27/1.83 | | | (all_23_2 = 0) | (( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~
% 7.27/1.83 | | | (all_23_1 = 0) | all_23_0 = 0)))
% 7.27/1.83 | | |
% 7.27/1.83 | | | ALPHA: (21) implies:
% 7.27/1.83 | | | (22) is_aligned(all_10_4, all_10_3) = all_23_1
% 7.27/1.83 | | | (23) is_aligned(all_10_4, all_10_2) = all_23_0
% 7.27/1.83 | | | (24) organization(all_10_4) = all_23_2
% 7.27/1.83 | | | (25) ~ (all_23_2 = 0) | (( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~
% 7.27/1.83 | | | (all_23_1 = 0) | all_23_0 = 0))
% 7.27/1.83 | | |
% 7.27/1.83 | | | GROUND_INST: instantiating (1) with all_10_4, all_10_2, all_10_3,
% 7.27/1.83 | | | simplifying with (6), (7), (8), (17) gives:
% 7.27/1.84 | | | (26) ? [v0: any] : ? [v1: any] : (organization(all_10_4) = 0 &
% 7.27/1.84 | | | is_aligned(all_10_4, all_10_2) = v0 & is_aligned(all_10_4,
% 7.27/1.84 | | | all_10_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)) & (v1 = 0 | v0 =
% 7.27/1.84 | | | 0))
% 7.27/1.84 | | |
% 7.27/1.84 | | | DELTA: instantiating (26) with fresh symbols all_30_0, all_30_1 gives:
% 7.27/1.84 | | | (27) organization(all_10_4) = 0 & is_aligned(all_10_4, all_10_2) =
% 7.27/1.84 | | | all_30_1 & is_aligned(all_10_4, all_10_3) = all_30_0 & ( ~
% 7.27/1.84 | | | (all_30_0 = 0) | ~ (all_30_1 = 0)) & (all_30_0 = 0 | all_30_1 =
% 7.27/1.84 | | | 0)
% 7.27/1.84 | | |
% 7.27/1.84 | | | ALPHA: (27) implies:
% 7.27/1.84 | | | (28) is_aligned(all_10_4, all_10_3) = all_30_0
% 7.27/1.84 | | | (29) is_aligned(all_10_4, all_10_2) = all_30_1
% 7.27/1.84 | | | (30) organization(all_10_4) = 0
% 7.27/1.84 | | | (31) all_30_0 = 0 | all_30_1 = 0
% 7.27/1.84 | | | (32) ~ (all_30_0 = 0) | ~ (all_30_1 = 0)
% 7.27/1.84 | | |
% 7.27/1.84 | | | GROUND_INST: instantiating (4) with all_23_1, all_30_0, all_10_3,
% 7.27/1.84 | | | all_10_4, simplifying with (22), (28) gives:
% 7.27/1.84 | | | (33) all_30_0 = all_23_1
% 7.27/1.84 | | |
% 7.27/1.84 | | | GROUND_INST: instantiating (4) with all_23_0, all_30_1, all_10_2,
% 7.27/1.84 | | | all_10_4, simplifying with (23), (29) gives:
% 7.27/1.84 | | | (34) all_30_1 = all_23_0
% 7.27/1.84 | | |
% 7.27/1.84 | | | GROUND_INST: instantiating (3) with all_23_2, 0, all_10_4, simplifying
% 7.27/1.84 | | | with (24), (30) gives:
% 7.27/1.84 | | | (35) all_23_2 = 0
% 7.27/1.84 | | |
% 7.27/1.84 | | | BETA: splitting (25) gives:
% 7.27/1.84 | | |
% 7.27/1.84 | | | Case 1:
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | (36) ~ (all_23_2 = 0)
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | REDUCE: (35), (36) imply:
% 7.27/1.84 | | | | (37) $false
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | CLOSE: (37) is inconsistent.
% 7.27/1.84 | | | |
% 7.27/1.84 | | | Case 2:
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | (38) ( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~ (all_23_1 = 0) |
% 7.27/1.84 | | | | all_23_0 = 0)
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | ALPHA: (38) implies:
% 7.27/1.84 | | | | (39) ~ (all_23_1 = 0) | all_23_0 = 0
% 7.27/1.84 | | | | (40) ~ (all_23_0 = 0) | all_23_1 = 0
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | BETA: splitting (31) gives:
% 7.27/1.84 | | | |
% 7.27/1.84 | | | | Case 1:
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | (41) all_30_0 = 0
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | COMBINE_EQS: (33), (41) imply:
% 7.27/1.84 | | | | | (42) all_23_1 = 0
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | BETA: splitting (32) gives:
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | Case 1:
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | (43) ~ (all_30_0 = 0)
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | REDUCE: (41), (43) imply:
% 7.27/1.84 | | | | | | (44) $false
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | CLOSE: (44) is inconsistent.
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | Case 2:
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | (45) ~ (all_30_1 = 0)
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | REDUCE: (34), (45) imply:
% 7.27/1.84 | | | | | | (46) ~ (all_23_0 = 0)
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | BETA: splitting (39) gives:
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | | Case 1:
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | (47) ~ (all_23_1 = 0)
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | REDUCE: (42), (47) imply:
% 7.27/1.84 | | | | | | | (48) $false
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | CLOSE: (48) is inconsistent.
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | Case 2:
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | (49) all_23_0 = 0
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | REDUCE: (46), (49) imply:
% 7.27/1.84 | | | | | | | (50) $false
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | | CLOSE: (50) is inconsistent.
% 7.27/1.84 | | | | | | |
% 7.27/1.84 | | | | | | End of split
% 7.27/1.84 | | | | | |
% 7.27/1.84 | | | | | End of split
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | Case 2:
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | (51) all_30_1 = 0
% 7.27/1.84 | | | | | (52) ~ (all_30_0 = 0)
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | COMBINE_EQS: (34), (51) imply:
% 7.27/1.84 | | | | | (53) all_23_0 = 0
% 7.27/1.84 | | | | |
% 7.27/1.84 | | | | | SIMP: (53) implies:
% 7.27/1.84 | | | | | (54) all_23_0 = 0
% 7.27/1.85 | | | | |
% 7.27/1.85 | | | | | REDUCE: (33), (52) imply:
% 7.27/1.85 | | | | | (55) ~ (all_23_1 = 0)
% 7.27/1.85 | | | | |
% 7.27/1.85 | | | | | BETA: splitting (40) gives:
% 7.27/1.85 | | | | |
% 7.27/1.85 | | | | | Case 1:
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | (56) ~ (all_23_0 = 0)
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | REDUCE: (54), (56) imply:
% 7.27/1.85 | | | | | | (57) $false
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | CLOSE: (57) is inconsistent.
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | Case 2:
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | (58) all_23_1 = 0
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | REDUCE: (55), (58) imply:
% 7.27/1.85 | | | | | | (59) $false
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | | CLOSE: (59) is inconsistent.
% 7.27/1.85 | | | | | |
% 7.27/1.85 | | | | | End of split
% 7.27/1.85 | | | | |
% 7.27/1.85 | | | | End of split
% 7.27/1.85 | | | |
% 7.27/1.85 | | | End of split
% 7.27/1.85 | | |
% 7.27/1.85 | | End of split
% 7.27/1.85 | |
% 7.27/1.85 | Case 2:
% 7.27/1.85 | |
% 7.27/1.85 | | (60) all_10_1 = 0 & ~ (all_10_0 = 0)
% 7.27/1.85 | |
% 7.27/1.85 | | ALPHA: (60) implies:
% 7.27/1.85 | | (61) all_10_1 = 0
% 7.27/1.85 | | (62) ~ (all_10_0 = 0)
% 7.27/1.85 | |
% 7.27/1.85 | | REDUCE: (9), (61) imply:
% 7.27/1.85 | | (63) dissimilar(all_10_4, all_10_3, all_10_2) = 0
% 7.27/1.85 | |
% 7.27/1.85 | | BETA: splitting (13) gives:
% 7.27/1.85 | |
% 7.27/1.85 | | Case 1:
% 7.27/1.85 | | |
% 7.27/1.85 | | | (64) all_10_0 = 0
% 7.27/1.85 | | |
% 7.27/1.85 | | | REDUCE: (62), (64) imply:
% 7.27/1.85 | | | (65) $false
% 7.27/1.85 | | |
% 7.27/1.85 | | | CLOSE: (65) is inconsistent.
% 7.27/1.85 | | |
% 7.27/1.85 | | Case 2:
% 7.27/1.85 | | |
% 7.27/1.85 | | | (66) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 7.27/1.85 | | | (organization(all_10_4) = v0 & is_aligned(all_10_4, all_10_2) = v1
% 7.27/1.85 | | | & is_aligned(all_10_4, all_10_3) = v2 & ( ~ (v0 = 0) | (( ~ (v2
% 7.27/1.85 | | | = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0))))
% 7.27/1.85 | | |
% 7.27/1.85 | | | DELTA: instantiating (66) with fresh symbols all_23_0, all_23_1, all_23_2
% 7.27/1.85 | | | gives:
% 7.27/1.85 | | | (67) organization(all_10_4) = all_23_2 & is_aligned(all_10_4, all_10_2)
% 7.27/1.85 | | | = all_23_1 & is_aligned(all_10_4, all_10_3) = all_23_0 & ( ~
% 7.27/1.85 | | | (all_23_2 = 0) | (( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~
% 7.27/1.85 | | | (all_23_1 = 0) | all_23_0 = 0)))
% 7.27/1.85 | | |
% 7.27/1.85 | | | ALPHA: (67) implies:
% 7.27/1.85 | | | (68) is_aligned(all_10_4, all_10_3) = all_23_0
% 7.27/1.85 | | | (69) is_aligned(all_10_4, all_10_2) = all_23_1
% 7.27/1.85 | | | (70) organization(all_10_4) = all_23_2
% 7.27/1.85 | | | (71) ~ (all_23_2 = 0) | (( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~
% 7.27/1.85 | | | (all_23_1 = 0) | all_23_0 = 0))
% 7.27/1.85 | | |
% 7.27/1.85 | | | GROUND_INST: instantiating (1) with all_10_4, all_10_3, all_10_2,
% 7.27/1.85 | | | simplifying with (6), (7), (8), (63) gives:
% 7.27/1.85 | | | (72) ? [v0: any] : ? [v1: any] : (organization(all_10_4) = 0 &
% 7.27/1.85 | | | is_aligned(all_10_4, all_10_2) = v1 & is_aligned(all_10_4,
% 7.27/1.85 | | | all_10_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)) & (v1 = 0 | v0 =
% 7.27/1.85 | | | 0))
% 7.27/1.85 | | |
% 7.27/1.85 | | | DELTA: instantiating (72) with fresh symbols all_30_0, all_30_1 gives:
% 7.27/1.85 | | | (73) organization(all_10_4) = 0 & is_aligned(all_10_4, all_10_2) =
% 7.27/1.85 | | | all_30_0 & is_aligned(all_10_4, all_10_3) = all_30_1 & ( ~
% 7.27/1.85 | | | (all_30_0 = 0) | ~ (all_30_1 = 0)) & (all_30_0 = 0 | all_30_1 =
% 7.27/1.85 | | | 0)
% 7.27/1.85 | | |
% 7.27/1.85 | | | ALPHA: (73) implies:
% 7.27/1.85 | | | (74) is_aligned(all_10_4, all_10_3) = all_30_1
% 7.27/1.85 | | | (75) is_aligned(all_10_4, all_10_2) = all_30_0
% 7.27/1.85 | | | (76) organization(all_10_4) = 0
% 7.27/1.85 | | | (77) all_30_0 = 0 | all_30_1 = 0
% 7.27/1.85 | | | (78) ~ (all_30_0 = 0) | ~ (all_30_1 = 0)
% 7.27/1.85 | | |
% 7.27/1.86 | | | GROUND_INST: instantiating (4) with all_23_0, all_30_1, all_10_3,
% 7.27/1.86 | | | all_10_4, simplifying with (68), (74) gives:
% 7.27/1.86 | | | (79) all_30_1 = all_23_0
% 7.27/1.86 | | |
% 7.27/1.86 | | | GROUND_INST: instantiating (4) with all_23_1, all_30_0, all_10_2,
% 7.27/1.86 | | | all_10_4, simplifying with (69), (75) gives:
% 7.27/1.86 | | | (80) all_30_0 = all_23_1
% 7.27/1.86 | | |
% 7.27/1.86 | | | GROUND_INST: instantiating (3) with all_23_2, 0, all_10_4, simplifying
% 7.27/1.86 | | | with (70), (76) gives:
% 7.27/1.86 | | | (81) all_23_2 = 0
% 7.27/1.86 | | |
% 7.27/1.86 | | | BETA: splitting (71) gives:
% 7.27/1.86 | | |
% 7.27/1.86 | | | Case 1:
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | (82) ~ (all_23_2 = 0)
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | REDUCE: (81), (82) imply:
% 7.27/1.86 | | | | (83) $false
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | CLOSE: (83) is inconsistent.
% 7.27/1.86 | | | |
% 7.27/1.86 | | | Case 2:
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | (84) ( ~ (all_23_0 = 0) | all_23_1 = 0) & ( ~ (all_23_1 = 0) |
% 7.27/1.86 | | | | all_23_0 = 0)
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | ALPHA: (84) implies:
% 7.27/1.86 | | | | (85) ~ (all_23_1 = 0) | all_23_0 = 0
% 7.27/1.86 | | | | (86) ~ (all_23_0 = 0) | all_23_1 = 0
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | BETA: splitting (77) gives:
% 7.27/1.86 | | | |
% 7.27/1.86 | | | | Case 1:
% 7.27/1.86 | | | | |
% 7.27/1.86 | | | | | (87) all_30_0 = 0
% 7.27/1.86 | | | | |
% 7.27/1.86 | | | | | COMBINE_EQS: (80), (87) imply:
% 7.27/1.86 | | | | | (88) all_23_1 = 0
% 7.27/1.86 | | | | |
% 7.27/1.86 | | | | | BETA: splitting (78) gives:
% 7.27/1.86 | | | | |
% 7.27/1.86 | | | | | Case 1:
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | (89) ~ (all_30_0 = 0)
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | REDUCE: (87), (89) imply:
% 7.27/1.86 | | | | | | (90) $false
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | CLOSE: (90) is inconsistent.
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | Case 2:
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | (91) ~ (all_30_1 = 0)
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | REDUCE: (79), (91) imply:
% 7.27/1.86 | | | | | | (92) ~ (all_23_0 = 0)
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | BETA: splitting (85) gives:
% 7.27/1.86 | | | | | |
% 7.27/1.86 | | | | | | Case 1:
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | (93) ~ (all_23_1 = 0)
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | REDUCE: (88), (93) imply:
% 7.27/1.86 | | | | | | | (94) $false
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | CLOSE: (94) is inconsistent.
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | Case 2:
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | (95) all_23_0 = 0
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | REDUCE: (92), (95) imply:
% 7.27/1.86 | | | | | | | (96) $false
% 7.27/1.86 | | | | | | |
% 7.27/1.86 | | | | | | | CLOSE: (96) is inconsistent.
% 7.73/1.86 | | | | | | |
% 7.73/1.86 | | | | | | End of split
% 7.73/1.86 | | | | | |
% 7.73/1.86 | | | | | End of split
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | Case 2:
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | (97) all_30_1 = 0
% 7.73/1.86 | | | | | (98) ~ (all_30_0 = 0)
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | COMBINE_EQS: (79), (97) imply:
% 7.73/1.86 | | | | | (99) all_23_0 = 0
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | SIMP: (99) implies:
% 7.73/1.86 | | | | | (100) all_23_0 = 0
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | REDUCE: (80), (98) imply:
% 7.73/1.86 | | | | | (101) ~ (all_23_1 = 0)
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | BETA: splitting (86) gives:
% 7.73/1.86 | | | | |
% 7.73/1.86 | | | | | Case 1:
% 7.73/1.86 | | | | | |
% 7.73/1.86 | | | | | | (102) ~ (all_23_0 = 0)
% 7.73/1.86 | | | | | |
% 7.73/1.87 | | | | | | REDUCE: (100), (102) imply:
% 7.73/1.87 | | | | | | (103) $false
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | | CLOSE: (103) is inconsistent.
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | Case 2:
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | | (104) all_23_1 = 0
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | | REDUCE: (101), (104) imply:
% 7.73/1.87 | | | | | | (105) $false
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | | CLOSE: (105) is inconsistent.
% 7.73/1.87 | | | | | |
% 7.73/1.87 | | | | | End of split
% 7.73/1.87 | | | | |
% 7.73/1.87 | | | | End of split
% 7.73/1.87 | | | |
% 7.73/1.87 | | | End of split
% 7.73/1.87 | | |
% 7.73/1.87 | | End of split
% 7.73/1.87 | |
% 7.73/1.87 | End of split
% 7.73/1.87 |
% 7.73/1.87 End of proof
% 7.73/1.87 % SZS output end Proof for theBenchmark
% 7.73/1.87
% 7.73/1.87 1273ms
%------------------------------------------------------------------------------