TSTP Solution File: MGT049+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : MGT049+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:16:27 EDT 2023
% Result : Theorem 8.02s 1.90s
% Output : Proof 10.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n003.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 06:31:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.63 ________ _____
% 0.18/0.63 ___ __ \_________(_)________________________________
% 0.18/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.63
% 0.18/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.63 (2023-06-19)
% 0.18/0.63
% 0.18/0.63 (c) Philipp Rümmer, 2009-2023
% 0.18/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.63 Amanda Stjerna.
% 0.18/0.63 Free software under BSD-3-Clause.
% 0.18/0.63
% 0.18/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.63
% 0.18/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.64 Running up to 7 provers in parallel.
% 0.18/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.45/1.10 Prover 4: Preprocessing ...
% 2.45/1.10 Prover 1: Preprocessing ...
% 2.69/1.16 Prover 6: Preprocessing ...
% 2.69/1.16 Prover 3: Preprocessing ...
% 2.69/1.16 Prover 0: Preprocessing ...
% 2.69/1.16 Prover 2: Preprocessing ...
% 2.69/1.17 Prover 5: Preprocessing ...
% 3.81/1.50 Prover 6: Constructing countermodel ...
% 3.81/1.52 Prover 2: Proving ...
% 3.81/1.53 Prover 3: Constructing countermodel ...
% 3.81/1.54 Prover 5: Proving ...
% 3.81/1.55 Prover 1: Constructing countermodel ...
% 6.06/1.63 Prover 4: Constructing countermodel ...
% 6.06/1.64 Prover 0: Proving ...
% 6.55/1.70 Prover 3: gave up
% 6.55/1.70 Prover 1: gave up
% 6.55/1.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.55/1.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.55/1.76 Prover 6: gave up
% 6.55/1.76 Prover 7: Preprocessing ...
% 7.11/1.77 Prover 8: Preprocessing ...
% 7.11/1.78 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 7.11/1.83 Prover 9: Preprocessing ...
% 7.83/1.88 Prover 8: Warning: ignoring some quantifiers
% 7.83/1.88 Prover 8: Constructing countermodel ...
% 7.83/1.88 Prover 7: Warning: ignoring some quantifiers
% 8.02/1.90 Prover 2: proved (1241ms)
% 8.02/1.90
% 8.02/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.02/1.90
% 8.02/1.90 Prover 5: stopped
% 8.02/1.90 Prover 0: stopped
% 8.02/1.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.02/1.90 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.02/1.91 Prover 7: Constructing countermodel ...
% 8.02/1.91 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.16/1.93 Prover 4: gave up
% 8.16/1.95 Prover 11: Preprocessing ...
% 8.16/1.95 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 8.16/1.96 Prover 13: Preprocessing ...
% 8.16/1.96 Prover 10: Preprocessing ...
% 8.16/1.98 Prover 16: Preprocessing ...
% 8.16/1.99 Prover 8: gave up
% 8.16/1.99 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 8.16/2.01 Prover 9: Constructing countermodel ...
% 8.16/2.02 Prover 19: Preprocessing ...
% 8.16/2.02 Prover 9: stopped
% 8.86/2.02 Prover 10: Warning: ignoring some quantifiers
% 8.86/2.03 Prover 10: Constructing countermodel ...
% 8.86/2.04 Prover 13: Warning: ignoring some quantifiers
% 8.86/2.04 Prover 13: Constructing countermodel ...
% 8.86/2.06 Prover 16: Warning: ignoring some quantifiers
% 8.86/2.08 Prover 16: Constructing countermodel ...
% 9.43/2.16 Prover 11: Constructing countermodel ...
% 9.43/2.17 Prover 19: Warning: ignoring some quantifiers
% 9.43/2.19 Prover 19: Constructing countermodel ...
% 9.43/2.21 Prover 10: Found proof (size 26)
% 9.43/2.21 Prover 10: proved (308ms)
% 9.43/2.21 Prover 7: stopped
% 9.43/2.21 Prover 16: stopped
% 9.43/2.21 Prover 11: stopped
% 9.43/2.22 Prover 19: stopped
% 9.43/2.22 Prover 13: stopped
% 9.43/2.22
% 9.43/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/2.22
% 9.43/2.23 % SZS output start Proof for theBenchmark
% 9.43/2.23 Assumptions after simplification:
% 9.43/2.23 ---------------------------------
% 9.43/2.23
% 9.43/2.23 (assumption_11)
% 9.43/2.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3
% 9.43/2.27 | ~ (external_ties(v0, v2) = v3) | ~ (external_ties(v0, v1) = v4) | ~
% 9.43/2.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ organization(v0))
% 9.43/2.27
% 9.43/2.27 (assumption_6)
% 9.43/2.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 9.43/2.27 (position(v0, v2) = v3) | ~ (position(v0, v1) = v4) | ~ $i(v2) | ~ $i(v1)
% 9.43/2.27 | ~ $i(v0) | ~ organization(v0) | ? [v5: $i] : ? [v6: $i] : ((v4 = v3 |
% 9.43/2.27 ( ~ (v6 = v5) & external_ties(v0, v2) = v5 & external_ties(v0, v1) = v6
% 9.43/2.28 & $i(v6) & $i(v5))) & (greater(v3, v4) | (external_ties(v0, v2) = v5 &
% 9.43/2.28 external_ties(v0, v1) = v6 & $i(v6) & $i(v5) & ~ greater(v5, v6)))))
% 9.43/2.28
% 9.43/2.28 (lemma_6)
% 9.43/2.28 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 9.43/2.28 $i] : ? [v6: $i] : ( ~ (v6 = v5) & age(v0, v2) = v3 & age(v0, v1) = v4 &
% 9.43/2.28 position(v0, v2) = v5 & position(v0, v1) = v6 & $i(v6) & $i(v5) & $i(v4) &
% 9.43/2.28 $i(v3) & $i(v2) & $i(v1) & $i(v0) & organization(v0) & greater(v3, v4))
% 9.43/2.28
% 9.43/2.28 (function-axioms)
% 9.43/2.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (age(v3,
% 9.43/2.28 v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 9.43/2.28 $i] : ! [v3: $i] : (v1 = v0 | ~ (position(v3, v2) = v1) | ~ (position(v3,
% 9.43/2.28 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 9.43/2.28 = v0 | ~ (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 9.43/2.28
% 9.43/2.28 Further assumptions not needed in the proof:
% 9.43/2.28 --------------------------------------------
% 9.43/2.28 definition_greater_or_equal, definition_smaller, definition_smaller_or_equal,
% 9.43/2.28 meaning_postulate_greater_comparable, meaning_postulate_greater_strict,
% 9.43/2.28 meaning_postulate_greater_transitive
% 9.43/2.28
% 9.43/2.28 Those formulas are unsatisfiable:
% 9.43/2.28 ---------------------------------
% 9.43/2.28
% 9.43/2.28 Begin of proof
% 9.43/2.29 |
% 9.43/2.29 | ALPHA: (function-axioms) implies:
% 9.43/2.29 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 9.43/2.29 | (external_ties(v3, v2) = v1) | ~ (external_ties(v3, v2) = v0))
% 9.43/2.29 |
% 9.43/2.29 | DELTA: instantiating (lemma_6) with fresh symbols all_13_0, all_13_1,
% 9.43/2.29 | all_13_2, all_13_3, all_13_4, all_13_5, all_13_6 gives:
% 9.43/2.29 | (2) ~ (all_13_0 = all_13_1) & age(all_13_6, all_13_4) = all_13_3 &
% 9.43/2.29 | age(all_13_6, all_13_5) = all_13_2 & position(all_13_6, all_13_4) =
% 9.43/2.29 | all_13_1 & position(all_13_6, all_13_5) = all_13_0 & $i(all_13_0) &
% 9.43/2.29 | $i(all_13_1) & $i(all_13_2) & $i(all_13_3) & $i(all_13_4) &
% 9.43/2.29 | $i(all_13_5) & $i(all_13_6) & organization(all_13_6) &
% 9.43/2.29 | greater(all_13_3, all_13_2)
% 9.43/2.29 |
% 9.43/2.29 | ALPHA: (2) implies:
% 9.43/2.30 | (3) ~ (all_13_0 = all_13_1)
% 9.43/2.30 | (4) organization(all_13_6)
% 9.43/2.30 | (5) $i(all_13_6)
% 9.43/2.30 | (6) $i(all_13_5)
% 9.43/2.30 | (7) $i(all_13_4)
% 9.43/2.30 | (8) position(all_13_6, all_13_5) = all_13_0
% 9.43/2.30 | (9) position(all_13_6, all_13_4) = all_13_1
% 9.43/2.30 |
% 9.43/2.30 | GROUND_INST: instantiating (assumption_6) with all_13_6, all_13_5, all_13_4,
% 9.43/2.30 | all_13_1, all_13_0, simplifying with (4), (5), (6), (7), (8), (9)
% 9.43/2.30 | gives:
% 10.30/2.30 | (10) ? [v0: $i] : ? [v1: $i] : ((all_13_0 = all_13_1 | ( ~ (v1 = v0) &
% 10.30/2.30 | external_ties(all_13_6, all_13_4) = v0 & external_ties(all_13_6,
% 10.30/2.30 | all_13_5) = v1 & $i(v1) & $i(v0))) & (greater(all_13_1,
% 10.30/2.30 | all_13_0) | (external_ties(all_13_6, all_13_4) = v0 &
% 10.30/2.30 | external_ties(all_13_6, all_13_5) = v1 & $i(v1) & $i(v0) & ~
% 10.30/2.30 | greater(v0, v1))))
% 10.30/2.30 |
% 10.30/2.30 | GROUND_INST: instantiating (assumption_6) with all_13_6, all_13_4, all_13_5,
% 10.30/2.30 | all_13_0, all_13_1, simplifying with (4), (5), (6), (7), (8), (9)
% 10.30/2.30 | gives:
% 10.30/2.31 | (11) ? [v0: $i] : ? [v1: $i] : ((all_13_0 = all_13_1 | ( ~ (v1 = v0) &
% 10.30/2.31 | external_ties(all_13_6, all_13_4) = v1 & external_ties(all_13_6,
% 10.30/2.31 | all_13_5) = v0 & $i(v1) & $i(v0))) & (greater(all_13_0,
% 10.30/2.31 | all_13_1) | (external_ties(all_13_6, all_13_4) = v1 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = v0 & $i(v1) & $i(v0) & ~
% 10.30/2.31 | greater(v0, v1))))
% 10.30/2.31 |
% 10.30/2.31 | DELTA: instantiating (11) with fresh symbols all_23_0, all_23_1 gives:
% 10.30/2.31 | (12) (all_13_0 = all_13_1 | ( ~ (all_23_0 = all_23_1) &
% 10.30/2.31 | external_ties(all_13_6, all_13_4) = all_23_0 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_23_1 & $i(all_23_0) &
% 10.30/2.31 | $i(all_23_1))) & (greater(all_13_0, all_13_1) |
% 10.30/2.31 | (external_ties(all_13_6, all_13_4) = all_23_0 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_23_1 & $i(all_23_0) &
% 10.30/2.31 | $i(all_23_1) & ~ greater(all_23_1, all_23_0)))
% 10.30/2.31 |
% 10.30/2.31 | ALPHA: (12) implies:
% 10.30/2.31 | (13) all_13_0 = all_13_1 | ( ~ (all_23_0 = all_23_1) &
% 10.30/2.31 | external_ties(all_13_6, all_13_4) = all_23_0 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_23_1 & $i(all_23_0) &
% 10.30/2.31 | $i(all_23_1))
% 10.30/2.31 |
% 10.30/2.31 | DELTA: instantiating (10) with fresh symbols all_24_0, all_24_1 gives:
% 10.30/2.31 | (14) (all_13_0 = all_13_1 | ( ~ (all_24_0 = all_24_1) &
% 10.30/2.31 | external_ties(all_13_6, all_13_4) = all_24_1 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_24_0 & $i(all_24_0) &
% 10.30/2.31 | $i(all_24_1))) & (greater(all_13_1, all_13_0) |
% 10.30/2.31 | (external_ties(all_13_6, all_13_4) = all_24_1 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_24_0 & $i(all_24_0) &
% 10.30/2.31 | $i(all_24_1) & ~ greater(all_24_1, all_24_0)))
% 10.30/2.31 |
% 10.30/2.31 | ALPHA: (14) implies:
% 10.30/2.31 | (15) all_13_0 = all_13_1 | ( ~ (all_24_0 = all_24_1) &
% 10.30/2.31 | external_ties(all_13_6, all_13_4) = all_24_1 &
% 10.30/2.31 | external_ties(all_13_6, all_13_5) = all_24_0 & $i(all_24_0) &
% 10.30/2.31 | $i(all_24_1))
% 10.30/2.31 |
% 10.30/2.31 | BETA: splitting (15) gives:
% 10.30/2.31 |
% 10.30/2.31 | Case 1:
% 10.30/2.31 | |
% 10.30/2.32 | | (16) all_13_0 = all_13_1
% 10.30/2.32 | |
% 10.30/2.32 | | REDUCE: (3), (16) imply:
% 10.30/2.32 | | (17) $false
% 10.30/2.32 | |
% 10.30/2.32 | | CLOSE: (17) is inconsistent.
% 10.30/2.32 | |
% 10.30/2.32 | Case 2:
% 10.30/2.32 | |
% 10.30/2.32 | | (18) ~ (all_24_0 = all_24_1) & external_ties(all_13_6, all_13_4) =
% 10.30/2.32 | | all_24_1 & external_ties(all_13_6, all_13_5) = all_24_0 &
% 10.30/2.32 | | $i(all_24_0) & $i(all_24_1)
% 10.30/2.32 | |
% 10.30/2.32 | | ALPHA: (18) implies:
% 10.30/2.32 | | (19) ~ (all_24_0 = all_24_1)
% 10.30/2.32 | | (20) external_ties(all_13_6, all_13_5) = all_24_0
% 10.30/2.32 | | (21) external_ties(all_13_6, all_13_4) = all_24_1
% 10.30/2.32 | |
% 10.30/2.32 | | BETA: splitting (13) gives:
% 10.30/2.32 | |
% 10.30/2.32 | | Case 1:
% 10.30/2.32 | | |
% 10.30/2.32 | | | (22) all_13_0 = all_13_1
% 10.30/2.32 | | |
% 10.30/2.32 | | | REDUCE: (3), (22) imply:
% 10.30/2.32 | | | (23) $false
% 10.30/2.32 | | |
% 10.30/2.32 | | | CLOSE: (23) is inconsistent.
% 10.30/2.32 | | |
% 10.30/2.32 | | Case 2:
% 10.30/2.32 | | |
% 10.30/2.32 | | | (24) ~ (all_23_0 = all_23_1) & external_ties(all_13_6, all_13_4) =
% 10.30/2.32 | | | all_23_0 & external_ties(all_13_6, all_13_5) = all_23_1 &
% 10.30/2.32 | | | $i(all_23_0) & $i(all_23_1)
% 10.30/2.32 | | |
% 10.30/2.32 | | | ALPHA: (24) implies:
% 10.30/2.32 | | | (25) external_ties(all_13_6, all_13_5) = all_23_1
% 10.30/2.32 | | | (26) external_ties(all_13_6, all_13_4) = all_23_0
% 10.30/2.32 | | |
% 10.30/2.32 | | | GROUND_INST: instantiating (1) with all_23_1, all_24_0, all_13_5,
% 10.30/2.32 | | | all_13_6, simplifying with (20), (25) gives:
% 10.30/2.32 | | | (27) all_24_0 = all_23_1
% 10.30/2.32 | | |
% 10.30/2.32 | | | GROUND_INST: instantiating (1) with all_23_0, all_24_1, all_13_4,
% 10.30/2.32 | | | all_13_6, simplifying with (21), (26) gives:
% 10.30/2.32 | | | (28) all_24_1 = all_23_0
% 10.30/2.32 | | |
% 10.30/2.32 | | | REDUCE: (19), (27), (28) imply:
% 10.30/2.32 | | | (29) ~ (all_23_0 = all_23_1)
% 10.30/2.32 | | |
% 10.30/2.32 | | | SIMP: (29) implies:
% 10.30/2.32 | | | (30) ~ (all_23_0 = all_23_1)
% 10.30/2.32 | | |
% 10.30/2.33 | | | GROUND_INST: instantiating (assumption_11) with all_13_6, all_13_5,
% 10.30/2.33 | | | all_13_4, all_23_0, all_23_1, simplifying with (4), (5), (6),
% 10.30/2.33 | | | (7), (25), (26) gives:
% 10.30/2.33 | | | (31) all_23_0 = all_23_1
% 10.30/2.33 | | |
% 10.30/2.33 | | | REDUCE: (30), (31) imply:
% 10.30/2.33 | | | (32) $false
% 10.30/2.33 | | |
% 10.30/2.33 | | | CLOSE: (32) is inconsistent.
% 10.30/2.33 | | |
% 10.30/2.33 | | End of split
% 10.30/2.33 | |
% 10.30/2.33 | End of split
% 10.30/2.33 |
% 10.30/2.33 End of proof
% 10.30/2.33 % SZS output end Proof for theBenchmark
% 10.30/2.33
% 10.30/2.33 1698ms
%------------------------------------------------------------------------------