TSTP Solution File: MGT045+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT045+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 : n009.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 09:16:26 EDT 2023
% Result : Theorem 5.37s 1.40s
% Output : Proof 7.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:28:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.59/0.59 ________ _____
% 0.59/0.59 ___ __ \_________(_)________________________________
% 0.59/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.59/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.59/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.59/0.59
% 0.59/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.59/0.59 (2023-06-19)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2023
% 0.59/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.59/0.59 Amanda Stjerna.
% 0.59/0.59 Free software under BSD-3-Clause.
% 0.59/0.59
% 0.59/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.60 Running up to 7 provers in parallel.
% 0.63/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.63/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.63/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.63/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.63/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.63/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.63/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.13/0.99 Prover 1: Preprocessing ...
% 2.13/0.99 Prover 4: Preprocessing ...
% 2.13/1.03 Prover 2: Preprocessing ...
% 2.13/1.03 Prover 3: Preprocessing ...
% 2.84/1.04 Prover 5: Preprocessing ...
% 2.84/1.04 Prover 6: Preprocessing ...
% 2.84/1.04 Prover 0: Preprocessing ...
% 4.28/1.28 Prover 3: Constructing countermodel ...
% 4.28/1.28 Prover 1: Constructing countermodel ...
% 4.28/1.28 Prover 6: Constructing countermodel ...
% 4.28/1.29 Prover 2: Proving ...
% 4.28/1.30 Prover 5: Proving ...
% 4.90/1.35 Prover 4: Constructing countermodel ...
% 4.90/1.38 Prover 0: Proving ...
% 5.37/1.40 Prover 3: proved (786ms)
% 5.37/1.40
% 5.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.37/1.40
% 5.37/1.40 Prover 6: stopped
% 5.37/1.40 Prover 5: stopped
% 5.37/1.40 Prover 0: stopped
% 5.37/1.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.37/1.40 Prover 2: stopped
% 5.37/1.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.37/1.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.37/1.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.37/1.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.37/1.45 Prover 11: Preprocessing ...
% 5.37/1.45 Prover 10: Preprocessing ...
% 5.37/1.45 Prover 13: Preprocessing ...
% 5.37/1.45 Prover 7: Preprocessing ...
% 5.37/1.46 Prover 8: Preprocessing ...
% 6.06/1.50 Prover 13: Warning: ignoring some quantifiers
% 6.34/1.51 Prover 13: Constructing countermodel ...
% 6.34/1.53 Prover 8: Warning: ignoring some quantifiers
% 6.52/1.54 Prover 7: Warning: ignoring some quantifiers
% 6.52/1.54 Prover 8: Constructing countermodel ...
% 6.52/1.54 Prover 10: Warning: ignoring some quantifiers
% 6.52/1.55 Prover 7: Constructing countermodel ...
% 6.52/1.55 Prover 10: Constructing countermodel ...
% 6.52/1.56 Prover 1: Found proof (size 30)
% 6.52/1.56 Prover 1: proved (949ms)
% 6.52/1.56 Prover 13: stopped
% 6.52/1.56 Prover 4: stopped
% 6.52/1.56 Prover 8: stopped
% 6.52/1.56 Prover 10: stopped
% 6.52/1.57 Prover 7: stopped
% 6.52/1.60 Prover 11: Constructing countermodel ...
% 6.52/1.61 Prover 11: stopped
% 6.52/1.61
% 6.52/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/1.61
% 7.00/1.62 % SZS output start Proof for theBenchmark
% 7.00/1.62 Assumptions after simplification:
% 7.00/1.62 ---------------------------------
% 7.00/1.62
% 7.00/1.62 (assumption_6)
% 7.00/1.65 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 7.00/1.65 any] : ( ~ (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~
% 7.00/1.65 (greater(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 7.00/1.65 ? [v7: $i] : ? [v8: $i] : ? [v9: any] : (organization(v0) = v6 &
% 7.00/1.65 external_ties(v0, v2) = v7 & external_ties(v0, v1) = v8 & greater(v7, v8)
% 7.00/1.65 = v9 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v8
% 7.00/1.65 = v7) | v4 = v3)))))
% 7.00/1.65
% 7.00/1.65 (assumption_8)
% 7.00/1.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 7.00/1.66 (age(v0, v2) = v3) | ~ (age(v0, v1) = v4) | ~ (greater(v3, v4) = 0) | ~
% 7.00/1.66 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 7.00/1.66 ? [v8: any] : (organization(v0) = v5 & external_ties(v0, v2) = v6 &
% 7.00/1.66 external_ties(v0, v1) = v7 & greater(v6, v7) = v8 & $i(v7) & $i(v6) & ( ~
% 7.00/1.66 (v5 = 0) | v8 = 0)))
% 7.00/1.66
% 7.00/1.66 (lemma_4)
% 7.00/1.66 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 7.00/1.66 $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & age(v0, v2) = v3 & age(v0,
% 7.00/1.66 v1) = v4 & position(v0, v2) = v5 & position(v0, v1) = v6 &
% 7.00/1.66 organization(v0) = 0 & greater(v5, v6) = v7 & greater(v3, v4) = 0 & $i(v6) &
% 7.00/1.66 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 7.00/1.66
% 7.00/1.66 (function-axioms)
% 7.00/1.67 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3,
% 7.00/1.67 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 7.00/1.67 $i] : ! [v3: $i] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3,
% 7.00/1.67 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 7.00/1.67 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0)) &
% 7.00/1.67 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 7.00/1.67 $i] : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~
% 7.00/1.67 (greater_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.00/1.67 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3,
% 7.00/1.67 v2) = v1) | ~ (greater(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 7.00/1.67 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.00/1.67 (smaller_or_equal(v3, v2) = v1) | ~ (smaller_or_equal(v3, v2) = v0)) & !
% 7.00/1.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 7.00/1.67 $i] : (v1 = v0 | ~ (smaller(v3, v2) = v1) | ~ (smaller(v3, v2) = v0)) & !
% 7.00/1.67 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 7.00/1.67 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 7.00/1.67
% 7.00/1.67 Further assumptions not needed in the proof:
% 7.00/1.67 --------------------------------------------
% 7.00/1.67 definition_greater_or_equal, definition_smaller, definition_smaller_or_equal,
% 7.00/1.67 meaning_postulate_greater_comparable, meaning_postulate_greater_strict,
% 7.00/1.67 meaning_postulate_greater_transitive
% 7.00/1.67
% 7.00/1.67 Those formulas are unsatisfiable:
% 7.00/1.67 ---------------------------------
% 7.00/1.67
% 7.00/1.67 Begin of proof
% 7.00/1.67 |
% 7.00/1.67 | ALPHA: (function-axioms) implies:
% 7.00/1.67 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.00/1.67 | (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0))
% 7.00/1.67 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.00/1.67 | ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3,
% 7.00/1.67 | v2) = v0))
% 7.00/1.67 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.00/1.67 | (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 7.00/1.67 |
% 7.00/1.67 | DELTA: instantiating (lemma_4) with fresh symbols all_11_0, all_11_1,
% 7.00/1.67 | all_11_2, all_11_3, all_11_4, all_11_5, all_11_6, all_11_7 gives:
% 7.00/1.68 | (4) ~ (all_11_0 = 0) & age(all_11_7, all_11_5) = all_11_4 & age(all_11_7,
% 7.00/1.68 | all_11_6) = all_11_3 & position(all_11_7, all_11_5) = all_11_2 &
% 7.00/1.68 | position(all_11_7, all_11_6) = all_11_1 & organization(all_11_7) = 0 &
% 7.00/1.68 | greater(all_11_2, all_11_1) = all_11_0 & greater(all_11_4, all_11_3) =
% 7.00/1.68 | 0 & $i(all_11_1) & $i(all_11_2) & $i(all_11_3) & $i(all_11_4) &
% 7.00/1.68 | $i(all_11_5) & $i(all_11_6) & $i(all_11_7)
% 7.00/1.68 |
% 7.00/1.68 | ALPHA: (4) implies:
% 7.00/1.68 | (5) ~ (all_11_0 = 0)
% 7.00/1.68 | (6) $i(all_11_7)
% 7.00/1.68 | (7) $i(all_11_6)
% 7.00/1.68 | (8) $i(all_11_5)
% 7.00/1.68 | (9) greater(all_11_4, all_11_3) = 0
% 7.00/1.68 | (10) greater(all_11_2, all_11_1) = all_11_0
% 7.00/1.68 | (11) organization(all_11_7) = 0
% 7.00/1.68 | (12) position(all_11_7, all_11_6) = all_11_1
% 7.00/1.68 | (13) position(all_11_7, all_11_5) = all_11_2
% 7.00/1.68 | (14) age(all_11_7, all_11_6) = all_11_3
% 7.00/1.68 | (15) age(all_11_7, all_11_5) = all_11_4
% 7.00/1.68 |
% 7.00/1.68 | GROUND_INST: instantiating (assumption_6) with all_11_7, all_11_6, all_11_5,
% 7.00/1.68 | all_11_2, all_11_1, all_11_0, simplifying with (6), (7), (8),
% 7.00/1.68 | (10), (12), (13) gives:
% 7.00/1.68 | (16) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 7.00/1.68 | (organization(all_11_7) = v0 & external_ties(all_11_7, all_11_5) = v1
% 7.00/1.68 | & external_ties(all_11_7, all_11_6) = v2 & greater(v1, v2) = v3 &
% 7.00/1.68 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | (( ~ (v3 = 0) | all_11_0 = 0) & ( ~
% 7.00/1.68 | (v2 = v1) | all_11_1 = all_11_2))))
% 7.00/1.68 |
% 7.00/1.68 | GROUND_INST: instantiating (assumption_8) with all_11_7, all_11_6, all_11_5,
% 7.00/1.68 | all_11_4, all_11_3, simplifying with (6), (7), (8), (9), (14),
% 7.00/1.68 | (15) gives:
% 7.00/1.69 | (17) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] :
% 7.00/1.69 | (organization(all_11_7) = v0 & external_ties(all_11_7, all_11_5) = v1
% 7.00/1.69 | & external_ties(all_11_7, all_11_6) = v2 & greater(v1, v2) = v3 &
% 7.00/1.69 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 7.00/1.69 |
% 7.00/1.69 | DELTA: instantiating (17) with fresh symbols all_20_0, all_20_1, all_20_2,
% 7.00/1.69 | all_20_3 gives:
% 7.00/1.69 | (18) organization(all_11_7) = all_20_3 & external_ties(all_11_7, all_11_5)
% 7.00/1.69 | = all_20_2 & external_ties(all_11_7, all_11_6) = all_20_1 &
% 7.00/1.69 | greater(all_20_2, all_20_1) = all_20_0 & $i(all_20_1) & $i(all_20_2) &
% 7.00/1.69 | ( ~ (all_20_3 = 0) | all_20_0 = 0)
% 7.00/1.69 |
% 7.00/1.69 | ALPHA: (18) implies:
% 7.00/1.69 | (19) greater(all_20_2, all_20_1) = all_20_0
% 7.00/1.69 | (20) external_ties(all_11_7, all_11_6) = all_20_1
% 7.00/1.69 | (21) external_ties(all_11_7, all_11_5) = all_20_2
% 7.00/1.69 | (22) organization(all_11_7) = all_20_3
% 7.00/1.69 | (23) ~ (all_20_3 = 0) | all_20_0 = 0
% 7.00/1.69 |
% 7.00/1.69 | DELTA: instantiating (16) with fresh symbols all_22_0, all_22_1, all_22_2,
% 7.00/1.69 | all_22_3 gives:
% 7.00/1.69 | (24) organization(all_11_7) = all_22_3 & external_ties(all_11_7, all_11_5)
% 7.00/1.69 | = all_22_2 & external_ties(all_11_7, all_11_6) = all_22_1 &
% 7.00/1.69 | greater(all_22_2, all_22_1) = all_22_0 & $i(all_22_1) & $i(all_22_2) &
% 7.00/1.69 | ( ~ (all_22_3 = 0) | (( ~ (all_22_0 = 0) | all_11_0 = 0) & ( ~
% 7.00/1.69 | (all_22_1 = all_22_2) | all_11_1 = all_11_2)))
% 7.00/1.69 |
% 7.00/1.69 | ALPHA: (24) implies:
% 7.00/1.69 | (25) greater(all_22_2, all_22_1) = all_22_0
% 7.00/1.69 | (26) external_ties(all_11_7, all_11_6) = all_22_1
% 7.00/1.69 | (27) external_ties(all_11_7, all_11_5) = all_22_2
% 7.00/1.69 | (28) organization(all_11_7) = all_22_3
% 7.34/1.69 | (29) ~ (all_22_3 = 0) | (( ~ (all_22_0 = 0) | all_11_0 = 0) & ( ~
% 7.34/1.69 | (all_22_1 = all_22_2) | all_11_1 = all_11_2))
% 7.34/1.69 |
% 7.34/1.69 | GROUND_INST: instantiating (3) with all_20_1, all_22_1, all_11_6, all_11_7,
% 7.34/1.69 | simplifying with (20), (26) gives:
% 7.34/1.69 | (30) all_22_1 = all_20_1
% 7.34/1.69 |
% 7.34/1.69 | GROUND_INST: instantiating (3) with all_20_2, all_22_2, all_11_5, all_11_7,
% 7.34/1.69 | simplifying with (21), (27) gives:
% 7.34/1.69 | (31) all_22_2 = all_20_2
% 7.34/1.69 |
% 7.34/1.69 | GROUND_INST: instantiating (1) with 0, all_22_3, all_11_7, simplifying with
% 7.34/1.69 | (11), (28) gives:
% 7.34/1.69 | (32) all_22_3 = 0
% 7.34/1.69 |
% 7.34/1.69 | GROUND_INST: instantiating (1) with all_20_3, all_22_3, all_11_7, simplifying
% 7.34/1.69 | with (22), (28) gives:
% 7.34/1.69 | (33) all_22_3 = all_20_3
% 7.34/1.69 |
% 7.34/1.69 | COMBINE_EQS: (32), (33) imply:
% 7.34/1.69 | (34) all_20_3 = 0
% 7.34/1.69 |
% 7.34/1.69 | SIMP: (34) implies:
% 7.34/1.69 | (35) all_20_3 = 0
% 7.34/1.69 |
% 7.34/1.69 | REDUCE: (25), (30), (31) imply:
% 7.34/1.69 | (36) greater(all_20_2, all_20_1) = all_22_0
% 7.34/1.69 |
% 7.34/1.69 | BETA: splitting (23) gives:
% 7.34/1.69 |
% 7.34/1.69 | Case 1:
% 7.34/1.69 | |
% 7.34/1.70 | | (37) ~ (all_20_3 = 0)
% 7.34/1.70 | |
% 7.34/1.70 | | REDUCE: (35), (37) imply:
% 7.34/1.70 | | (38) $false
% 7.34/1.70 | |
% 7.34/1.70 | | CLOSE: (38) is inconsistent.
% 7.34/1.70 | |
% 7.34/1.70 | Case 2:
% 7.34/1.70 | |
% 7.34/1.70 | | (39) all_20_0 = 0
% 7.34/1.70 | |
% 7.34/1.70 | | REDUCE: (19), (39) imply:
% 7.34/1.70 | | (40) greater(all_20_2, all_20_1) = 0
% 7.34/1.70 | |
% 7.34/1.70 | | BETA: splitting (29) gives:
% 7.34/1.70 | |
% 7.34/1.70 | | Case 1:
% 7.34/1.70 | | |
% 7.34/1.70 | | | (41) ~ (all_22_3 = 0)
% 7.34/1.70 | | |
% 7.34/1.70 | | | REDUCE: (32), (41) imply:
% 7.34/1.70 | | | (42) $false
% 7.34/1.70 | | |
% 7.34/1.70 | | | CLOSE: (42) is inconsistent.
% 7.34/1.70 | | |
% 7.34/1.70 | | Case 2:
% 7.34/1.70 | | |
% 7.34/1.70 | | | (43) ( ~ (all_22_0 = 0) | all_11_0 = 0) & ( ~ (all_22_1 = all_22_2) |
% 7.34/1.70 | | | all_11_1 = all_11_2)
% 7.34/1.70 | | |
% 7.34/1.70 | | | ALPHA: (43) implies:
% 7.34/1.70 | | | (44) ~ (all_22_0 = 0) | all_11_0 = 0
% 7.34/1.70 | | |
% 7.34/1.70 | | | BETA: splitting (44) gives:
% 7.34/1.70 | | |
% 7.34/1.70 | | | Case 1:
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | (45) ~ (all_22_0 = 0)
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | GROUND_INST: instantiating (2) with 0, all_22_0, all_20_1, all_20_2,
% 7.34/1.70 | | | | simplifying with (36), (40) gives:
% 7.34/1.70 | | | | (46) all_22_0 = 0
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | REDUCE: (45), (46) imply:
% 7.34/1.70 | | | | (47) $false
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | CLOSE: (47) is inconsistent.
% 7.34/1.70 | | | |
% 7.34/1.70 | | | Case 2:
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | (48) all_11_0 = 0
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | REDUCE: (5), (48) imply:
% 7.34/1.70 | | | | (49) $false
% 7.34/1.70 | | | |
% 7.34/1.70 | | | | CLOSE: (49) is inconsistent.
% 7.34/1.70 | | | |
% 7.34/1.70 | | | End of split
% 7.34/1.70 | | |
% 7.34/1.70 | | End of split
% 7.34/1.70 | |
% 7.34/1.70 | End of split
% 7.34/1.70 |
% 7.34/1.70 End of proof
% 7.34/1.70 % SZS output end Proof for theBenchmark
% 7.34/1.70
% 7.34/1.70 1111ms
%------------------------------------------------------------------------------