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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : CSR036+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n007.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 : Wed Aug 30 21:36:37 EDT 2023

% Result   : Theorem 33.41s 5.04s
% Output   : Proof 55.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : CSR036+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 13:04:57 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.59  ________       _____
% 0.18/0.59  ___  __ \_________(_)________________________________
% 0.18/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.18/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.18/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.18/0.59  
% 0.18/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.59  (2023-06-19)
% 0.18/0.59  
% 0.18/0.59  (c) Philipp Rümmer, 2009-2023
% 0.18/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.59                Amanda Stjerna.
% 0.18/0.59  Free software under BSD-3-Clause.
% 0.18/0.59  
% 0.18/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.59  
% 0.18/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.61  Running up to 7 provers in parallel.
% 0.18/0.62  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.62  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.62  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.62  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.62  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.62  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.75/1.23  Prover 1: Preprocessing ...
% 3.75/1.23  Prover 4: Preprocessing ...
% 3.75/1.27  Prover 2: Preprocessing ...
% 3.75/1.27  Prover 5: Preprocessing ...
% 3.75/1.27  Prover 0: Preprocessing ...
% 3.75/1.27  Prover 3: Preprocessing ...
% 3.75/1.28  Prover 6: Preprocessing ...
% 7.91/1.78  Prover 5: Constructing countermodel ...
% 7.91/1.78  Prover 2: Constructing countermodel ...
% 10.13/2.02  Prover 6: Constructing countermodel ...
% 10.62/2.12  Prover 1: Constructing countermodel ...
% 10.62/2.13  Prover 3: Constructing countermodel ...
% 12.45/2.33  Prover 4: Constructing countermodel ...
% 12.45/2.36  Prover 0: Proving ...
% 21.06/3.43  Prover 3: gave up
% 21.06/3.43  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 21.06/3.50  Prover 7: Preprocessing ...
% 21.06/3.51  Prover 1: gave up
% 21.80/3.52  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 22.47/3.60  Prover 8: Preprocessing ...
% 22.47/3.63  Prover 7: Constructing countermodel ...
% 24.14/3.88  Prover 8: Warning: ignoring some quantifiers
% 24.14/3.90  Prover 8: Constructing countermodel ...
% 33.41/5.04  Prover 0: proved (4410ms)
% 33.41/5.04  
% 33.41/5.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.41/5.04  
% 33.41/5.04  Prover 2: stopped
% 33.41/5.04  Prover 5: stopped
% 33.41/5.06  Prover 6: stopped
% 33.41/5.06  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 33.41/5.06  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 33.41/5.06  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 33.41/5.06  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 34.25/5.11  Prover 8: gave up
% 34.46/5.13  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 34.46/5.16  Prover 10: Preprocessing ...
% 34.46/5.16  Prover 11: Preprocessing ...
% 34.46/5.17  Prover 13: Preprocessing ...
% 34.46/5.19  Prover 16: Preprocessing ...
% 34.46/5.22  Prover 19: Preprocessing ...
% 35.21/5.26  Prover 10: Constructing countermodel ...
% 35.21/5.28  Prover 16: Constructing countermodel ...
% 35.21/5.28  Prover 13: Constructing countermodel ...
% 36.80/5.44  Prover 19: Warning: ignoring some quantifiers
% 36.80/5.45  Prover 19: Constructing countermodel ...
% 36.80/5.47  Prover 11: Constructing countermodel ...
% 53.11/7.49  Prover 19: gave up
% 55.40/7.82  Prover 10: Found proof (size 61)
% 55.40/7.82  Prover 10: proved (2774ms)
% 55.40/7.82  Prover 13: stopped
% 55.40/7.82  Prover 11: stopped
% 55.40/7.82  Prover 16: stopped
% 55.40/7.82  Prover 7: stopped
% 55.40/7.82  Prover 4: stopped
% 55.40/7.82  
% 55.40/7.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.40/7.82  
% 55.40/7.83  % SZS output start Proof for theBenchmark
% 55.40/7.84  Assumptions after simplification:
% 55.40/7.84  ---------------------------------
% 55.40/7.84  
% 55.40/7.84    (just10)
% 55.40/7.84    $i(c_tptpcol_4_16387) & $i(c_tptpcol_3_16386) & genls(c_tptpcol_4_16387,
% 55.40/7.84      c_tptpcol_3_16386)
% 55.40/7.84  
% 55.40/7.84    (just12)
% 55.40/7.84    $i(c_tptpcol_5_20483) & $i(c_tptpcol_4_16387) & genls(c_tptpcol_5_20483,
% 55.40/7.84      c_tptpcol_4_16387)
% 55.40/7.84  
% 55.40/7.84    (just14)
% 55.40/7.84    $i(c_tptpcol_6_20484) & $i(c_tptpcol_5_20483) & genls(c_tptpcol_6_20484,
% 55.40/7.84      c_tptpcol_5_20483)
% 55.40/7.84  
% 55.40/7.84    (just155)
% 55.40/7.84     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 55.40/7.84       ~ genls(v2, v0) |  ~ genls(v0, v1) | genls(v2, v1))
% 55.40/7.84  
% 55.40/7.84    (just16)
% 55.40/7.84    $i(c_tptpcol_7_21508) & $i(c_tptpcol_6_20484) & genls(c_tptpcol_7_21508,
% 55.40/7.84      c_tptpcol_6_20484)
% 55.40/7.84  
% 55.40/7.84    (just18)
% 55.40/7.84    $i(c_tptpcol_8_22020) & $i(c_tptpcol_7_21508) & genls(c_tptpcol_8_22020,
% 55.40/7.84      c_tptpcol_7_21508)
% 55.40/7.84  
% 55.40/7.84    (just20)
% 55.40/7.84    $i(c_tptpcol_9_22021) & $i(c_tptpcol_8_22020) & genls(c_tptpcol_9_22021,
% 55.40/7.84      c_tptpcol_8_22020)
% 55.40/7.84  
% 55.40/7.84    (just22)
% 55.40/7.84    $i(c_tptpcol_10_22022) & $i(c_tptpcol_9_22021) & genls(c_tptpcol_10_22022,
% 55.40/7.84      c_tptpcol_9_22021)
% 55.40/7.84  
% 55.40/7.84    (just24)
% 55.40/7.85    $i(c_tptpcol_11_22023) & $i(c_tptpcol_10_22022) & genls(c_tptpcol_11_22023,
% 55.40/7.85      c_tptpcol_10_22022)
% 55.40/7.85  
% 55.40/7.85    (just26)
% 55.40/7.85    $i(c_tptpcol_12_22055) & $i(c_tptpcol_11_22023) & genls(c_tptpcol_12_22055,
% 55.40/7.85      c_tptpcol_11_22023)
% 55.40/7.85  
% 55.40/7.85    (just28)
% 55.40/7.85    $i(c_tptpcol_13_22071) & $i(c_tptpcol_12_22055) & genls(c_tptpcol_13_22071,
% 55.40/7.85      c_tptpcol_12_22055)
% 55.40/7.85  
% 55.40/7.85    (just30)
% 55.40/7.85    $i(c_tptpcol_14_22072) & $i(c_tptpcol_13_22071) & genls(c_tptpcol_14_22072,
% 55.40/7.85      c_tptpcol_13_22071)
% 55.40/7.85  
% 55.40/7.85    (just32)
% 55.40/7.85    $i(c_tptpcol_15_22076) & $i(c_tptpcol_14_22072) & genls(c_tptpcol_15_22076,
% 55.40/7.85      c_tptpcol_14_22072)
% 55.40/7.85  
% 55.40/7.85    (just34)
% 55.40/7.85    $i(c_tptpcol_1_65536) & $i(c_tptpcol_2_65537) & genls(c_tptpcol_2_65537,
% 55.40/7.85      c_tptpcol_1_65536)
% 55.40/7.85  
% 55.40/7.85    (just36)
% 55.40/7.85    $i(c_tptpcol_3_65538) & $i(c_tptpcol_2_65537) & genls(c_tptpcol_3_65538,
% 55.40/7.85      c_tptpcol_2_65537)
% 55.40/7.85  
% 55.40/7.85    (just38)
% 55.40/7.85    $i(c_tptpcol_4_65539) & $i(c_tptpcol_3_65538) & genls(c_tptpcol_4_65539,
% 55.40/7.85      c_tptpcol_3_65538)
% 55.40/7.85  
% 55.40/7.85    (just40)
% 55.40/7.85    $i(c_tptpcol_5_69635) & $i(c_tptpcol_4_65539) & genls(c_tptpcol_5_69635,
% 55.40/7.85      c_tptpcol_4_65539)
% 55.40/7.85  
% 55.40/7.85    (just42)
% 55.40/7.85    $i(c_tptpcol_6_71683) & $i(c_tptpcol_5_69635) & genls(c_tptpcol_6_71683,
% 55.40/7.85      c_tptpcol_5_69635)
% 55.40/7.85  
% 55.40/7.85    (just44)
% 55.40/7.85    $i(c_tptpcol_7_72707) & $i(c_tptpcol_6_71683) & genls(c_tptpcol_7_72707,
% 55.40/7.85      c_tptpcol_6_71683)
% 55.40/7.85  
% 55.40/7.85    (just46)
% 55.40/7.85    $i(c_tptpcol_8_72708) & $i(c_tptpcol_7_72707) & genls(c_tptpcol_8_72708,
% 55.40/7.85      c_tptpcol_7_72707)
% 55.40/7.85  
% 55.40/7.85    (just48)
% 55.40/7.85    $i(c_tptpcol_9_72709) & $i(c_tptpcol_8_72708) & genls(c_tptpcol_9_72709,
% 55.40/7.85      c_tptpcol_8_72708)
% 55.40/7.85  
% 55.40/7.85    (just50)
% 55.40/7.85    $i(c_tptpcol_10_72710) & $i(c_tptpcol_9_72709) & genls(c_tptpcol_10_72710,
% 55.40/7.85      c_tptpcol_9_72709)
% 55.40/7.85  
% 55.40/7.85    (just52)
% 55.40/7.85    $i(c_tptpcol_11_72774) & $i(c_tptpcol_10_72710) & genls(c_tptpcol_11_72774,
% 55.40/7.85      c_tptpcol_10_72710)
% 55.40/7.85  
% 55.40/7.85    (just54)
% 55.40/7.85    $i(c_tptpcol_12_72775) & $i(c_tptpcol_11_72774) & genls(c_tptpcol_12_72775,
% 55.40/7.85      c_tptpcol_11_72774)
% 55.40/7.85  
% 55.40/7.85    (just56)
% 55.40/7.85    $i(c_tptpcol_13_72791) & $i(c_tptpcol_12_72775) & genls(c_tptpcol_13_72791,
% 55.40/7.85      c_tptpcol_12_72775)
% 55.40/7.85  
% 55.40/7.85    (just58)
% 55.40/7.85    $i(c_tptpcol_14_72792) & $i(c_tptpcol_13_72791) & genls(c_tptpcol_14_72792,
% 55.40/7.85      c_tptpcol_13_72791)
% 55.40/7.85  
% 55.40/7.85    (just6)
% 55.40/7.85    $i(c_tptpcol_1_1) & $i(c_tptpcol_2_2) & genls(c_tptpcol_2_2, c_tptpcol_1_1)
% 55.40/7.85  
% 55.40/7.85    (just60)
% 55.40/7.85    $i(c_tptpcol_15_72793) & $i(c_tptpcol_14_72792) & genls(c_tptpcol_15_72793,
% 55.40/7.85      c_tptpcol_14_72792)
% 55.40/7.85  
% 55.40/7.85    (just62)
% 55.40/7.85    $i(c_tptpcol_16_72795) & $i(c_tptpcol_15_72793) & genls(c_tptpcol_16_72795,
% 55.40/7.85      c_tptpcol_15_72793)
% 55.40/7.85  
% 55.40/7.85    (just64)
% 55.40/7.85    $i(c_tptpcol_1_65536) & $i(c_tptpcol_1_1) & disjointwith(c_tptpcol_1_1,
% 55.40/7.85      c_tptpcol_1_65536)
% 55.40/7.85  
% 55.40/7.85    (just8)
% 55.40/7.85    $i(c_tptpcol_3_16386) & $i(c_tptpcol_2_2) & genls(c_tptpcol_3_16386,
% 55.40/7.85      c_tptpcol_2_2)
% 55.40/7.85  
% 55.40/7.85    (just84)
% 55.40/7.85     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 55.40/7.85       ~ disjointwith(v0, v1) |  ~ genls(v2, v1) | disjointwith(v0, v2))
% 55.40/7.85  
% 55.40/7.85    (just85)
% 55.40/7.85     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 55.40/7.85       ~ disjointwith(v0, v1) |  ~ genls(v2, v0) | disjointwith(v2, v1))
% 55.40/7.85  
% 55.40/7.85    (query36)
% 55.40/7.86    $i(c_tptp_member974_mt) & $i(c_tptpcol_16_72795) & $i(c_tptpcol_15_22076) &
% 55.40/7.86    mtvisible(c_tptp_member974_mt) &  ~ disjointwith(c_tptpcol_15_22076,
% 55.40/7.86      c_tptpcol_16_72795)
% 55.40/7.86  
% 55.40/7.86  Further assumptions not needed in the proof:
% 55.40/7.86  --------------------------------------------
% 55.40/7.86  just1, just100, just101, just102, just103, just104, just105, just106, just107,
% 55.40/7.86  just108, just109, just11, just110, just111, just112, just113, just114, just115,
% 55.40/7.86  just116, just117, just118, just119, just120, just121, just122, just123, just124,
% 55.40/7.86  just125, just126, just127, just128, just129, just13, just130, just131, just132,
% 55.40/7.86  just133, just134, just135, just136, just137, just138, just139, just140, just141,
% 55.40/7.86  just142, just143, just144, just145, just146, just147, just148, just149, just15,
% 55.40/7.86  just150, just151, just152, just153, just154, just156, just157, just158, just159,
% 55.40/7.86  just160, just161, just162, just163, just164, just165, just166, just167, just168,
% 55.40/7.86  just169, just17, just170, just171, just172, just173, just19, just2, just21,
% 55.40/7.86  just23, just25, just27, just29, just3, just31, just33, just35, just37, just39,
% 55.40/7.86  just4, just41, just43, just45, just47, just49, just5, just51, just53, just55,
% 55.40/7.86  just57, just59, just61, just63, just65, just66, just67, just68, just69, just7,
% 55.40/7.86  just70, just71, just72, just73, just74, just75, just76, just77, just78, just79,
% 55.40/7.86  just80, just81, just82, just83, just86, just87, just88, just89, just9, just90,
% 55.40/7.86  just91, just92, just93, just94, just95, just96, just97, just98, just99
% 55.40/7.86  
% 55.40/7.86  Those formulas are unsatisfiable:
% 55.40/7.86  ---------------------------------
% 55.40/7.86  
% 55.40/7.86  Begin of proof
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (query36) implies:
% 55.40/7.86  |   (1)   ~ disjointwith(c_tptpcol_15_22076, c_tptpcol_16_72795)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just64) implies:
% 55.40/7.86  |   (2)  disjointwith(c_tptpcol_1_1, c_tptpcol_1_65536)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just62) implies:
% 55.40/7.86  |   (3)  genls(c_tptpcol_16_72795, c_tptpcol_15_72793)
% 55.40/7.86  |   (4)  $i(c_tptpcol_16_72795)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just60) implies:
% 55.40/7.86  |   (5)  genls(c_tptpcol_15_72793, c_tptpcol_14_72792)
% 55.40/7.86  |   (6)  $i(c_tptpcol_15_72793)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just58) implies:
% 55.40/7.86  |   (7)  genls(c_tptpcol_14_72792, c_tptpcol_13_72791)
% 55.40/7.86  |   (8)  $i(c_tptpcol_14_72792)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just56) implies:
% 55.40/7.86  |   (9)  genls(c_tptpcol_13_72791, c_tptpcol_12_72775)
% 55.40/7.86  |   (10)  $i(c_tptpcol_13_72791)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just54) implies:
% 55.40/7.86  |   (11)  genls(c_tptpcol_12_72775, c_tptpcol_11_72774)
% 55.40/7.86  |   (12)  $i(c_tptpcol_12_72775)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just52) implies:
% 55.40/7.86  |   (13)  genls(c_tptpcol_11_72774, c_tptpcol_10_72710)
% 55.40/7.86  |   (14)  $i(c_tptpcol_11_72774)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just50) implies:
% 55.40/7.86  |   (15)  genls(c_tptpcol_10_72710, c_tptpcol_9_72709)
% 55.40/7.86  |   (16)  $i(c_tptpcol_10_72710)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just48) implies:
% 55.40/7.86  |   (17)  genls(c_tptpcol_9_72709, c_tptpcol_8_72708)
% 55.40/7.86  |   (18)  $i(c_tptpcol_9_72709)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just46) implies:
% 55.40/7.86  |   (19)  genls(c_tptpcol_8_72708, c_tptpcol_7_72707)
% 55.40/7.86  |   (20)  $i(c_tptpcol_8_72708)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just44) implies:
% 55.40/7.86  |   (21)  genls(c_tptpcol_7_72707, c_tptpcol_6_71683)
% 55.40/7.86  |   (22)  $i(c_tptpcol_7_72707)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just42) implies:
% 55.40/7.86  |   (23)  genls(c_tptpcol_6_71683, c_tptpcol_5_69635)
% 55.40/7.86  |   (24)  $i(c_tptpcol_6_71683)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just40) implies:
% 55.40/7.86  |   (25)  genls(c_tptpcol_5_69635, c_tptpcol_4_65539)
% 55.40/7.86  |   (26)  $i(c_tptpcol_5_69635)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just38) implies:
% 55.40/7.86  |   (27)  genls(c_tptpcol_4_65539, c_tptpcol_3_65538)
% 55.40/7.86  |   (28)  $i(c_tptpcol_4_65539)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just36) implies:
% 55.40/7.86  |   (29)  genls(c_tptpcol_3_65538, c_tptpcol_2_65537)
% 55.40/7.86  |   (30)  $i(c_tptpcol_3_65538)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just34) implies:
% 55.40/7.86  |   (31)  genls(c_tptpcol_2_65537, c_tptpcol_1_65536)
% 55.40/7.86  |   (32)  $i(c_tptpcol_2_65537)
% 55.40/7.86  |   (33)  $i(c_tptpcol_1_65536)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just32) implies:
% 55.40/7.86  |   (34)  genls(c_tptpcol_15_22076, c_tptpcol_14_22072)
% 55.40/7.86  |   (35)  $i(c_tptpcol_15_22076)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just30) implies:
% 55.40/7.86  |   (36)  genls(c_tptpcol_14_22072, c_tptpcol_13_22071)
% 55.40/7.86  |   (37)  $i(c_tptpcol_14_22072)
% 55.40/7.86  | 
% 55.40/7.86  | ALPHA: (just28) implies:
% 55.40/7.86  |   (38)  genls(c_tptpcol_13_22071, c_tptpcol_12_22055)
% 55.40/7.87  |   (39)  $i(c_tptpcol_13_22071)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just26) implies:
% 55.40/7.87  |   (40)  genls(c_tptpcol_12_22055, c_tptpcol_11_22023)
% 55.40/7.87  |   (41)  $i(c_tptpcol_12_22055)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just24) implies:
% 55.40/7.87  |   (42)  genls(c_tptpcol_11_22023, c_tptpcol_10_22022)
% 55.40/7.87  |   (43)  $i(c_tptpcol_11_22023)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just22) implies:
% 55.40/7.87  |   (44)  genls(c_tptpcol_10_22022, c_tptpcol_9_22021)
% 55.40/7.87  |   (45)  $i(c_tptpcol_10_22022)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just20) implies:
% 55.40/7.87  |   (46)  genls(c_tptpcol_9_22021, c_tptpcol_8_22020)
% 55.40/7.87  |   (47)  $i(c_tptpcol_9_22021)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just18) implies:
% 55.40/7.87  |   (48)  genls(c_tptpcol_8_22020, c_tptpcol_7_21508)
% 55.40/7.87  |   (49)  $i(c_tptpcol_8_22020)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just16) implies:
% 55.40/7.87  |   (50)  genls(c_tptpcol_7_21508, c_tptpcol_6_20484)
% 55.40/7.87  |   (51)  $i(c_tptpcol_7_21508)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just14) implies:
% 55.40/7.87  |   (52)  genls(c_tptpcol_6_20484, c_tptpcol_5_20483)
% 55.40/7.87  |   (53)  $i(c_tptpcol_6_20484)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just12) implies:
% 55.40/7.87  |   (54)  genls(c_tptpcol_5_20483, c_tptpcol_4_16387)
% 55.40/7.87  |   (55)  $i(c_tptpcol_5_20483)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just10) implies:
% 55.40/7.87  |   (56)  genls(c_tptpcol_4_16387, c_tptpcol_3_16386)
% 55.40/7.87  |   (57)  $i(c_tptpcol_4_16387)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just8) implies:
% 55.40/7.87  |   (58)  genls(c_tptpcol_3_16386, c_tptpcol_2_2)
% 55.40/7.87  |   (59)  $i(c_tptpcol_3_16386)
% 55.40/7.87  | 
% 55.40/7.87  | ALPHA: (just6) implies:
% 55.40/7.87  |   (60)  genls(c_tptpcol_2_2, c_tptpcol_1_1)
% 55.40/7.87  |   (61)  $i(c_tptpcol_2_2)
% 55.40/7.87  |   (62)  $i(c_tptpcol_1_1)
% 55.40/7.87  | 
% 55.40/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_3_16386, c_tptpcol_2_2,
% 55.40/7.87  |              c_tptpcol_4_16387, simplifying with (56), (57), (58), (59), (61)
% 55.40/7.87  |              gives:
% 55.40/7.87  |   (63)  genls(c_tptpcol_4_16387, c_tptpcol_2_2)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_5_20483,
% 55.99/7.87  |              c_tptpcol_4_16387, c_tptpcol_6_20484, simplifying with (52),
% 55.99/7.87  |              (53), (54), (55), (57) gives:
% 55.99/7.87  |   (64)  genls(c_tptpcol_6_20484, c_tptpcol_4_16387)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_7_21508,
% 55.99/7.87  |              c_tptpcol_6_20484, c_tptpcol_8_22020, simplifying with (48),
% 55.99/7.87  |              (49), (50), (51), (53) gives:
% 55.99/7.87  |   (65)  genls(c_tptpcol_8_22020, c_tptpcol_6_20484)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_9_22021,
% 55.99/7.87  |              c_tptpcol_8_22020, c_tptpcol_10_22022, simplifying with (44),
% 55.99/7.87  |              (45), (46), (47), (49) gives:
% 55.99/7.87  |   (66)  genls(c_tptpcol_10_22022, c_tptpcol_8_22020)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_11_22023,
% 55.99/7.87  |              c_tptpcol_10_22022, c_tptpcol_12_22055, simplifying with (40),
% 55.99/7.87  |              (41), (42), (43), (45) gives:
% 55.99/7.87  |   (67)  genls(c_tptpcol_12_22055, c_tptpcol_10_22022)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_14_22072,
% 55.99/7.87  |              c_tptpcol_13_22071, c_tptpcol_15_22076, simplifying with (34),
% 55.99/7.87  |              (35), (36), (37), (39) gives:
% 55.99/7.87  |   (68)  genls(c_tptpcol_15_22076, c_tptpcol_13_22071)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_2_65537,
% 55.99/7.87  |              c_tptpcol_1_65536, c_tptpcol_3_65538, simplifying with (29),
% 55.99/7.87  |              (30), (31), (32), (33) gives:
% 55.99/7.87  |   (69)  genls(c_tptpcol_3_65538, c_tptpcol_1_65536)
% 55.99/7.87  | 
% 55.99/7.87  | GROUND_INST: instantiating (just155) with c_tptpcol_4_65539,
% 55.99/7.87  |              c_tptpcol_3_65538, c_tptpcol_5_69635, simplifying with (25),
% 55.99/7.87  |              (26), (27), (28), (30) gives:
% 55.99/7.88  |   (70)  genls(c_tptpcol_5_69635, c_tptpcol_3_65538)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_6_71683,
% 55.99/7.88  |              c_tptpcol_5_69635, c_tptpcol_7_72707, simplifying with (21),
% 55.99/7.88  |              (22), (23), (24), (26) gives:
% 55.99/7.88  |   (71)  genls(c_tptpcol_7_72707, c_tptpcol_5_69635)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_8_72708,
% 55.99/7.88  |              c_tptpcol_7_72707, c_tptpcol_9_72709, simplifying with (17),
% 55.99/7.88  |              (18), (19), (20), (22) gives:
% 55.99/7.88  |   (72)  genls(c_tptpcol_9_72709, c_tptpcol_7_72707)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_10_72710,
% 55.99/7.88  |              c_tptpcol_9_72709, c_tptpcol_11_72774, simplifying with (13),
% 55.99/7.88  |              (14), (15), (16), (18) gives:
% 55.99/7.88  |   (73)  genls(c_tptpcol_11_72774, c_tptpcol_9_72709)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_12_72775,
% 55.99/7.88  |              c_tptpcol_11_72774, c_tptpcol_13_72791, simplifying with (9),
% 55.99/7.88  |              (10), (11), (12), (14) gives:
% 55.99/7.88  |   (74)  genls(c_tptpcol_13_72791, c_tptpcol_11_72774)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_15_72793,
% 55.99/7.88  |              c_tptpcol_14_72792, c_tptpcol_16_72795, simplifying with (3),
% 55.99/7.88  |              (4), (5), (6), (8) gives:
% 55.99/7.88  |   (75)  genls(c_tptpcol_16_72795, c_tptpcol_14_72792)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just85) with c_tptpcol_1_1, c_tptpcol_1_65536,
% 55.99/7.88  |              c_tptpcol_2_2, simplifying with (2), (33), (60), (61), (62)
% 55.99/7.88  |              gives:
% 55.99/7.88  |   (76)  disjointwith(c_tptpcol_2_2, c_tptpcol_1_65536)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_6_20484,
% 55.99/7.88  |              c_tptpcol_4_16387, c_tptpcol_8_22020, simplifying with (49),
% 55.99/7.88  |              (53), (57), (64), (65) gives:
% 55.99/7.88  |   (77)  genls(c_tptpcol_8_22020, c_tptpcol_4_16387)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_10_22022,
% 55.99/7.88  |              c_tptpcol_8_22020, c_tptpcol_12_22055, simplifying with (41),
% 55.99/7.88  |              (45), (49), (66), (67) gives:
% 55.99/7.88  |   (78)  genls(c_tptpcol_12_22055, c_tptpcol_8_22020)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_13_22071,
% 55.99/7.88  |              c_tptpcol_12_22055, c_tptpcol_15_22076, simplifying with (35),
% 55.99/7.88  |              (38), (39), (41), (68) gives:
% 55.99/7.88  |   (79)  genls(c_tptpcol_15_22076, c_tptpcol_12_22055)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_3_65538,
% 55.99/7.88  |              c_tptpcol_1_65536, c_tptpcol_5_69635, simplifying with (26),
% 55.99/7.88  |              (30), (33), (69), (70) gives:
% 55.99/7.88  |   (80)  genls(c_tptpcol_5_69635, c_tptpcol_1_65536)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_7_72707,
% 55.99/7.88  |              c_tptpcol_5_69635, c_tptpcol_9_72709, simplifying with (18),
% 55.99/7.88  |              (22), (26), (71), (72) gives:
% 55.99/7.88  |   (81)  genls(c_tptpcol_9_72709, c_tptpcol_5_69635)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_11_72774,
% 55.99/7.88  |              c_tptpcol_9_72709, c_tptpcol_13_72791, simplifying with (10),
% 55.99/7.88  |              (14), (18), (73), (74) gives:
% 55.99/7.88  |   (82)  genls(c_tptpcol_13_72791, c_tptpcol_9_72709)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_14_72792,
% 55.99/7.88  |              c_tptpcol_13_72791, c_tptpcol_16_72795, simplifying with (4),
% 55.99/7.88  |              (7), (8), (10), (75) gives:
% 55.99/7.88  |   (83)  genls(c_tptpcol_16_72795, c_tptpcol_13_72791)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just85) with c_tptpcol_2_2, c_tptpcol_1_65536,
% 55.99/7.88  |              c_tptpcol_4_16387, simplifying with (33), (57), (61), (63), (76)
% 55.99/7.88  |              gives:
% 55.99/7.88  |   (84)  disjointwith(c_tptpcol_4_16387, c_tptpcol_1_65536)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_12_22055,
% 55.99/7.88  |              c_tptpcol_8_22020, c_tptpcol_15_22076, simplifying with (35),
% 55.99/7.88  |              (41), (49), (78), (79) gives:
% 55.99/7.88  |   (85)  genls(c_tptpcol_15_22076, c_tptpcol_8_22020)
% 55.99/7.88  | 
% 55.99/7.88  | GROUND_INST: instantiating (just155) with c_tptpcol_5_69635,
% 55.99/7.88  |              c_tptpcol_1_65536, c_tptpcol_9_72709, simplifying with (18),
% 55.99/7.88  |              (26), (33), (80), (81) gives:
% 55.99/7.88  |   (86)  genls(c_tptpcol_9_72709, c_tptpcol_1_65536)
% 55.99/7.88  | 
% 55.99/7.89  | GROUND_INST: instantiating (just155) with c_tptpcol_13_72791,
% 55.99/7.89  |              c_tptpcol_9_72709, c_tptpcol_16_72795, simplifying with (4),
% 55.99/7.89  |              (10), (18), (82), (83) gives:
% 55.99/7.89  |   (87)  genls(c_tptpcol_16_72795, c_tptpcol_9_72709)
% 55.99/7.89  | 
% 55.99/7.89  | GROUND_INST: instantiating (just85) with c_tptpcol_4_16387, c_tptpcol_1_65536,
% 55.99/7.89  |              c_tptpcol_8_22020, simplifying with (33), (49), (57), (77), (84)
% 55.99/7.89  |              gives:
% 55.99/7.89  |   (88)  disjointwith(c_tptpcol_8_22020, c_tptpcol_1_65536)
% 55.99/7.89  | 
% 55.99/7.89  | GROUND_INST: instantiating (just155) with c_tptpcol_9_72709,
% 55.99/7.89  |              c_tptpcol_1_65536, c_tptpcol_16_72795, simplifying with (4),
% 55.99/7.89  |              (18), (33), (86), (87) gives:
% 55.99/7.89  |   (89)  genls(c_tptpcol_16_72795, c_tptpcol_1_65536)
% 55.99/7.89  | 
% 55.99/7.89  | GROUND_INST: instantiating (just85) with c_tptpcol_8_22020, c_tptpcol_1_65536,
% 55.99/7.89  |              c_tptpcol_15_22076, simplifying with (33), (35), (49), (85), (88)
% 55.99/7.89  |              gives:
% 55.99/7.89  |   (90)  disjointwith(c_tptpcol_15_22076, c_tptpcol_1_65536)
% 55.99/7.89  | 
% 55.99/7.89  | GROUND_INST: instantiating (just84) with c_tptpcol_15_22076,
% 55.99/7.89  |              c_tptpcol_1_65536, c_tptpcol_16_72795, simplifying with (1), (4),
% 55.99/7.89  |              (33), (35), (89), (90) gives:
% 55.99/7.89  |   (91)  $false
% 55.99/7.89  | 
% 55.99/7.89  | CLOSE: (91) is inconsistent.
% 55.99/7.89  | 
% 55.99/7.89  End of proof
% 55.99/7.89  % SZS output end Proof for theBenchmark
% 55.99/7.89  
% 55.99/7.89  7295ms
%------------------------------------------------------------------------------