TSTP Solution File: CSR040+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : CSR040+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 : n018.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 21:36:40 EDT 2023

% Result   : Theorem 34.34s 5.29s
% Output   : Proof 45.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CSR040+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon Aug 28 13:42:47 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.18/0.58  ________       _____
% 0.18/0.58  ___  __ \_________(_)________________________________
% 0.18/0.58  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.18/0.58  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.18/0.58  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.18/0.58  
% 0.18/0.58  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.58  (2023-06-19)
% 0.18/0.58  
% 0.18/0.58  (c) Philipp Rümmer, 2009-2023
% 0.18/0.58  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.58                Amanda Stjerna.
% 0.18/0.58  Free software under BSD-3-Clause.
% 0.18/0.58  
% 0.18/0.58  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.58  
% 0.18/0.58  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.59  Running up to 7 provers in parallel.
% 0.18/0.61  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.61  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.61  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.61  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.61  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.61  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.61  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.57/1.24  Prover 4: Preprocessing ...
% 3.57/1.24  Prover 1: Preprocessing ...
% 4.22/1.28  Prover 6: Preprocessing ...
% 4.22/1.28  Prover 0: Preprocessing ...
% 4.22/1.28  Prover 5: Preprocessing ...
% 4.22/1.28  Prover 3: Preprocessing ...
% 4.22/1.28  Prover 2: Preprocessing ...
% 8.11/1.86  Prover 2: Proving ...
% 8.11/1.86  Prover 5: Proving ...
% 9.72/2.05  Prover 6: Constructing countermodel ...
% 9.72/2.05  Prover 3: Constructing countermodel ...
% 10.16/2.10  Prover 1: Constructing countermodel ...
% 11.40/2.25  Prover 0: Proving ...
% 11.40/2.29  Prover 4: Constructing countermodel ...
% 17.00/3.10  Prover 3: gave up
% 17.00/3.10  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 18.52/3.21  Prover 7: Preprocessing ...
% 18.52/3.23  Prover 1: gave up
% 19.04/3.25  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.51/3.33  Prover 8: Preprocessing ...
% 19.51/3.34  Prover 7: Constructing countermodel ...
% 21.37/3.61  Prover 8: Warning: ignoring some quantifiers
% 21.37/3.64  Prover 8: Constructing countermodel ...
% 28.13/4.47  Prover 8: gave up
% 28.13/4.49  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 28.68/4.54  Prover 9: Preprocessing ...
% 30.47/4.73  Prover 9: Constructing countermodel ...
% 34.34/5.29  Prover 0: proved (4688ms)
% 34.34/5.29  
% 34.34/5.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.34/5.29  
% 34.34/5.30  Prover 6: stopped
% 34.34/5.30  Prover 9: stopped
% 34.34/5.30  Prover 2: stopped
% 34.34/5.30  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 34.34/5.30  Prover 5: stopped
% 34.34/5.30  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 34.34/5.30  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 34.34/5.30  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 34.34/5.30  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 35.11/5.38  Prover 10: Preprocessing ...
% 35.11/5.39  Prover 16: Preprocessing ...
% 35.11/5.39  Prover 13: Preprocessing ...
% 35.11/5.39  Prover 11: Preprocessing ...
% 35.68/5.43  Prover 19: Preprocessing ...
% 35.68/5.44  Prover 10: Constructing countermodel ...
% 36.25/5.48  Prover 16: Warning: ignoring some quantifiers
% 36.25/5.50  Prover 16: Constructing countermodel ...
% 36.25/5.51  Prover 13: Warning: ignoring some quantifiers
% 36.25/5.52  Prover 13: Constructing countermodel ...
% 37.38/5.64  Prover 11: Constructing countermodel ...
% 37.38/5.65  Prover 19: Warning: ignoring some quantifiers
% 37.38/5.66  Prover 19: Constructing countermodel ...
% 45.09/6.64  Prover 10: Found proof (size 65)
% 45.09/6.64  Prover 10: proved (1342ms)
% 45.09/6.64  Prover 13: stopped
% 45.09/6.64  Prover 11: stopped
% 45.09/6.64  Prover 19: stopped
% 45.09/6.64  Prover 7: stopped
% 45.09/6.64  Prover 16: stopped
% 45.09/6.64  Prover 4: stopped
% 45.09/6.64  
% 45.09/6.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.09/6.64  
% 45.09/6.65  % SZS output start Proof for theBenchmark
% 45.09/6.66  Assumptions after simplification:
% 45.09/6.66  ---------------------------------
% 45.09/6.66  
% 45.09/6.66    (just10)
% 45.38/6.66    $i(c_individual) & $i(c_collection) & disjointwith(c_collection, c_individual)
% 45.38/6.66  
% 45.38/6.66    (just102)
% 45.38/6.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 45.38/6.66       ~ disjointwith(v0, v1) |  ~ genls(v2, v1) | disjointwith(v0, v2))
% 45.38/6.66  
% 45.38/6.66    (just103)
% 45.38/6.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 45.38/6.66       ~ disjointwith(v0, v1) |  ~ genls(v2, v0) | disjointwith(v2, v1))
% 45.38/6.66  
% 45.38/6.66    (just111)
% 45.38/6.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 45.38/6.66       ~ isa(v0, v1) |  ~ genls(v1, v2) | isa(v0, v2))
% 45.38/6.66  
% 45.38/6.66    (just114)
% 45.38/6.66    $i(c_fixedordercollection) &  ! [v0: $i] : ( ~ $i(v0) |  ~
% 45.38/6.66      fixedordercollection(v0) | isa(v0, c_fixedordercollection))
% 45.38/6.66  
% 45.38/6.66    (just116)
% 45.38/6.66    $i(c_firstordercollection) &  ! [v0: $i] : ( ~ $i(v0) |  ~
% 45.38/6.66      firstordercollection(v0) | isa(v0, c_firstordercollection))
% 45.38/6.66  
% 45.38/6.66    (just124)
% 45.38/6.66     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 45.38/6.66       ~ genls(v2, v0) |  ~ genls(v0, v1) | genls(v2, v1))
% 45.38/6.66  
% 45.38/6.66    (just13)
% 45.38/6.66    $i(c_collection) & $i(c_fixedordercollection) & genls(c_fixedordercollection,
% 45.38/6.66      c_collection)
% 45.38/6.66  
% 45.38/6.66    (just15)
% 45.38/6.67    $i(c_tptpcol_0_0) & $i(c_individual) & genls(c_tptpcol_0_0, c_individual)
% 45.38/6.67  
% 45.38/6.67    (just17)
% 45.38/6.67    $i(c_tptpcol_16_62187) & firstordercollection(c_tptpcol_16_62187)
% 45.38/6.67  
% 45.38/6.67    (just18)
% 45.38/6.67    $i(c_tptpcol_1_65536) & $i(c_tptpcol_0_0) & genls(c_tptpcol_1_65536,
% 45.38/6.67      c_tptpcol_0_0)
% 45.38/6.67  
% 45.38/6.67    (just20)
% 45.38/6.67    $i(c_tptpcol_2_98304) & $i(c_tptpcol_1_65536) & genls(c_tptpcol_2_98304,
% 45.38/6.67      c_tptpcol_1_65536)
% 45.38/6.67  
% 45.38/6.67    (just22)
% 45.38/6.67    $i(c_tptpcol_3_98305) & $i(c_tptpcol_2_98304) & genls(c_tptpcol_3_98305,
% 45.38/6.67      c_tptpcol_2_98304)
% 45.38/6.67  
% 45.38/6.67    (just24)
% 45.38/6.67    $i(c_tptpcol_4_106497) & $i(c_tptpcol_3_98305) & genls(c_tptpcol_4_106497,
% 45.38/6.67      c_tptpcol_3_98305)
% 45.38/6.67  
% 45.38/6.67    (just26)
% 45.38/6.67    $i(c_tptpcol_5_106498) & $i(c_tptpcol_4_106497) & genls(c_tptpcol_5_106498,
% 45.38/6.67      c_tptpcol_4_106497)
% 45.38/6.67  
% 45.38/6.67    (just28)
% 45.38/6.67    $i(c_tptpcol_6_108546) & $i(c_tptpcol_5_106498) & genls(c_tptpcol_6_108546,
% 45.38/6.67      c_tptpcol_5_106498)
% 45.38/6.67  
% 45.38/6.67    (just3)
% 45.38/6.67    $i(c_fixedordercollection) & $i(c_firstordercollection) &
% 45.38/6.67    genls(c_firstordercollection, c_fixedordercollection)
% 45.38/6.67  
% 45.38/6.67    (just30)
% 45.38/6.67    $i(c_tptpcol_7_108547) & $i(c_tptpcol_6_108546) & genls(c_tptpcol_7_108547,
% 45.38/6.67      c_tptpcol_6_108546)
% 45.38/6.67  
% 45.38/6.67    (just32)
% 45.38/6.67    $i(c_tptpcol_8_109059) & $i(c_tptpcol_7_108547) & genls(c_tptpcol_8_109059,
% 45.38/6.67      c_tptpcol_7_108547)
% 45.38/6.67  
% 45.38/6.67    (just34)
% 45.38/6.67    $i(c_tptpcol_9_109060) & $i(c_tptpcol_8_109059) & genls(c_tptpcol_9_109060,
% 45.38/6.67      c_tptpcol_8_109059)
% 45.38/6.67  
% 45.38/6.67    (just36)
% 45.38/6.67    $i(c_tptpcol_10_109061) & $i(c_tptpcol_9_109060) & genls(c_tptpcol_10_109061,
% 45.38/6.67      c_tptpcol_9_109060)
% 45.38/6.67  
% 45.38/6.67    (just38)
% 45.38/6.67    $i(c_tptpcol_11_109125) & $i(c_tptpcol_10_109061) & genls(c_tptpcol_11_109125,
% 45.38/6.67      c_tptpcol_10_109061)
% 45.38/6.67  
% 45.38/6.67    (just40)
% 45.38/6.67    $i(c_tptpcol_12_109157) & $i(c_tptpcol_11_109125) & genls(c_tptpcol_12_109157,
% 45.38/6.67      c_tptpcol_11_109125)
% 45.38/6.67  
% 45.38/6.67    (just42)
% 45.38/6.67    $i(c_tptpcol_13_109173) & $i(c_tptpcol_12_109157) & genls(c_tptpcol_13_109173,
% 45.38/6.67      c_tptpcol_12_109157)
% 45.38/6.67  
% 45.38/6.67    (just44)
% 45.38/6.67    $i(c_tptpcol_14_109181) & $i(c_tptpcol_13_109173) & genls(c_tptpcol_14_109181,
% 45.38/6.67      c_tptpcol_13_109173)
% 45.38/6.67  
% 45.38/6.67    (just46)
% 45.38/6.67    $i(c_tptpcol_15_109185) & $i(c_tptpcol_14_109181) & genls(c_tptpcol_15_109185,
% 45.38/6.67      c_tptpcol_14_109181)
% 45.38/6.67  
% 45.38/6.67    (just48)
% 45.38/6.67     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 45.38/6.67       ~ isa(v0, v2) |  ~ isa(v0, v1) |  ~ disjointwith(v1, v2))
% 45.38/6.67  
% 45.38/6.67    (just62)
% 45.38/6.67    $i(c_tptpcol_15_109185) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_15_109185(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_15_109185))
% 45.38/6.67  
% 45.38/6.67    (just64)
% 45.38/6.67    $i(c_tptpcol_14_109181) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_14_109181(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_14_109181))
% 45.38/6.67  
% 45.38/6.67    (just66)
% 45.38/6.67    $i(c_tptpcol_13_109173) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_13_109173(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_13_109173))
% 45.38/6.67  
% 45.38/6.67    (just68)
% 45.38/6.67    $i(c_tptpcol_12_109157) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_12_109157(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_12_109157))
% 45.38/6.67  
% 45.38/6.67    (just70)
% 45.38/6.67    $i(c_tptpcol_11_109125) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_11_109125(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_11_109125))
% 45.38/6.67  
% 45.38/6.67    (just72)
% 45.38/6.67    $i(c_tptpcol_10_109061) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_10_109061(v0)
% 45.38/6.67      | isa(v0, c_tptpcol_10_109061))
% 45.38/6.67  
% 45.38/6.67    (just74)
% 45.38/6.67    $i(c_tptpcol_9_109060) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_9_109060(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_9_109060))
% 45.38/6.67  
% 45.38/6.67    (just76)
% 45.38/6.67    $i(c_tptpcol_8_109059) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_8_109059(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_8_109059))
% 45.38/6.67  
% 45.38/6.67    (just78)
% 45.38/6.67    $i(c_tptpcol_7_108547) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_7_108547(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_7_108547))
% 45.38/6.67  
% 45.38/6.67    (just80)
% 45.38/6.67    $i(c_tptpcol_6_108546) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_6_108546(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_6_108546))
% 45.38/6.67  
% 45.38/6.67    (just82)
% 45.38/6.67    $i(c_tptpcol_5_106498) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_5_106498(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_5_106498))
% 45.38/6.67  
% 45.38/6.67    (just84)
% 45.38/6.67    $i(c_tptpcol_4_106497) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_4_106497(v0) |
% 45.38/6.67      isa(v0, c_tptpcol_4_106497))
% 45.38/6.67  
% 45.38/6.67    (just86)
% 45.38/6.67    $i(c_tptpcol_3_98305) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_3_98305(v0) |
% 45.38/6.68      isa(v0, c_tptpcol_3_98305))
% 45.38/6.68  
% 45.38/6.68    (just88)
% 45.38/6.68    $i(c_tptpcol_2_98304) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_2_98304(v0) |
% 45.38/6.68      isa(v0, c_tptpcol_2_98304))
% 45.38/6.68  
% 45.38/6.68    (just90)
% 45.38/6.68    $i(c_tptpcol_1_65536) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_1_65536(v0) |
% 45.38/6.68      isa(v0, c_tptpcol_1_65536))
% 45.38/6.68  
% 45.38/6.68    (just94)
% 45.38/6.68    $i(c_tptpcol_0_0) &  ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_0_0(v0) | isa(v0,
% 45.38/6.68        c_tptpcol_0_0))
% 45.38/6.68  
% 45.38/6.68    (just96)
% 45.38/6.68    $i(c_individual) &  ! [v0: $i] : ( ~ $i(v0) |  ~ individual(v0) | isa(v0,
% 45.38/6.68        c_individual))
% 45.38/6.68  
% 45.38/6.68    (just98)
% 45.38/6.68    $i(c_collection) &  ! [v0: $i] : ( ~ $i(v0) |  ~ collection(v0) | isa(v0,
% 45.38/6.68        c_collection))
% 45.38/6.68  
% 45.38/6.68    (query40)
% 45.38/6.69    $i(c_tptpcol_16_62187) & $i(c_translation_14) &
% 45.38/6.69    $i(s_http_wwwthedailybulletincompostcardsmar9chtm) &  ? [v0: $i] :  ? [v1: $i]
% 45.38/6.69    :  ? [v2: $i] : (f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm) = v0
% 45.38/6.69      & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1,
% 45.38/6.69        c_translation_14) = v2 & $i(v2) & $i(v1) & $i(v0) & mtvisible(v2) &
% 45.38/6.69      tptpcol_15_109185(c_tptpcol_16_62187))
% 45.38/6.69  
% 45.38/6.69  Further assumptions not needed in the proof:
% 45.38/6.69  --------------------------------------------
% 45.38/6.69  just1, just100, just101, just104, just105, just106, just107, just108, just109,
% 45.38/6.69  just11, just110, just112, just113, just115, just117, just118, just119, just12,
% 45.38/6.69  just120, just121, just122, just123, just125, just126, just127, just128, just129,
% 45.38/6.69  just130, just131, just132, just133, just134, just135, just136, just137, just138,
% 45.38/6.69  just139, just14, just140, just141, just142, just143, just144, just145, just16,
% 45.38/6.69  just19, just2, just21, just23, just25, just27, just29, just31, just33, just35,
% 45.38/6.69  just37, just39, just4, just41, just43, just45, just47, just49, just5, just50,
% 45.38/6.69  just51, just52, just53, just54, just55, just56, just57, just58, just59, just6,
% 45.38/6.69  just60, just61, just63, just65, just67, just69, just7, just71, just73, just75,
% 45.38/6.70  just77, just79, just8, just81, just83, just85, just87, just89, just9, just91,
% 45.38/6.70  just92, just93, just95, just97, just99
% 45.38/6.70  
% 45.38/6.70  Those formulas are unsatisfiable:
% 45.38/6.70  ---------------------------------
% 45.38/6.70  
% 45.38/6.70  Begin of proof
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just3) implies:
% 45.38/6.70  |   (1)  genls(c_firstordercollection, c_fixedordercollection)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just10) implies:
% 45.38/6.70  |   (2)  disjointwith(c_collection, c_individual)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just13) implies:
% 45.38/6.70  |   (3)  genls(c_fixedordercollection, c_collection)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just15) implies:
% 45.38/6.70  |   (4)  genls(c_tptpcol_0_0, c_individual)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just17) implies:
% 45.38/6.70  |   (5)  firstordercollection(c_tptpcol_16_62187)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just18) implies:
% 45.38/6.70  |   (6)  genls(c_tptpcol_1_65536, c_tptpcol_0_0)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just20) implies:
% 45.38/6.70  |   (7)  genls(c_tptpcol_2_98304, c_tptpcol_1_65536)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just22) implies:
% 45.38/6.70  |   (8)  genls(c_tptpcol_3_98305, c_tptpcol_2_98304)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just24) implies:
% 45.38/6.70  |   (9)  genls(c_tptpcol_4_106497, c_tptpcol_3_98305)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just26) implies:
% 45.38/6.70  |   (10)  genls(c_tptpcol_5_106498, c_tptpcol_4_106497)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just28) implies:
% 45.38/6.70  |   (11)  genls(c_tptpcol_6_108546, c_tptpcol_5_106498)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just30) implies:
% 45.38/6.70  |   (12)  genls(c_tptpcol_7_108547, c_tptpcol_6_108546)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just32) implies:
% 45.38/6.70  |   (13)  genls(c_tptpcol_8_109059, c_tptpcol_7_108547)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just34) implies:
% 45.38/6.70  |   (14)  genls(c_tptpcol_9_109060, c_tptpcol_8_109059)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just36) implies:
% 45.38/6.70  |   (15)  genls(c_tptpcol_10_109061, c_tptpcol_9_109060)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just38) implies:
% 45.38/6.70  |   (16)  genls(c_tptpcol_11_109125, c_tptpcol_10_109061)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just40) implies:
% 45.38/6.70  |   (17)  genls(c_tptpcol_12_109157, c_tptpcol_11_109125)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just42) implies:
% 45.38/6.70  |   (18)  genls(c_tptpcol_13_109173, c_tptpcol_12_109157)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just44) implies:
% 45.38/6.70  |   (19)  genls(c_tptpcol_14_109181, c_tptpcol_13_109173)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just46) implies:
% 45.38/6.70  |   (20)  genls(c_tptpcol_15_109185, c_tptpcol_14_109181)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just62) implies:
% 45.38/6.70  |   (21)  $i(c_tptpcol_15_109185)
% 45.38/6.70  |   (22)   ! [v0: $i] : ( ~ $i(v0) |  ~ tptpcol_15_109185(v0) | isa(v0,
% 45.38/6.70  |             c_tptpcol_15_109185))
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just64) implies:
% 45.38/6.70  |   (23)  $i(c_tptpcol_14_109181)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just66) implies:
% 45.38/6.70  |   (24)  $i(c_tptpcol_13_109173)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just68) implies:
% 45.38/6.70  |   (25)  $i(c_tptpcol_12_109157)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just70) implies:
% 45.38/6.70  |   (26)  $i(c_tptpcol_11_109125)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just72) implies:
% 45.38/6.70  |   (27)  $i(c_tptpcol_10_109061)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just74) implies:
% 45.38/6.70  |   (28)  $i(c_tptpcol_9_109060)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just76) implies:
% 45.38/6.70  |   (29)  $i(c_tptpcol_8_109059)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just78) implies:
% 45.38/6.70  |   (30)  $i(c_tptpcol_7_108547)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just80) implies:
% 45.38/6.70  |   (31)  $i(c_tptpcol_6_108546)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just82) implies:
% 45.38/6.70  |   (32)  $i(c_tptpcol_5_106498)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just84) implies:
% 45.38/6.70  |   (33)  $i(c_tptpcol_4_106497)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just86) implies:
% 45.38/6.70  |   (34)  $i(c_tptpcol_3_98305)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just88) implies:
% 45.38/6.70  |   (35)  $i(c_tptpcol_2_98304)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just90) implies:
% 45.38/6.70  |   (36)  $i(c_tptpcol_1_65536)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just94) implies:
% 45.38/6.70  |   (37)  $i(c_tptpcol_0_0)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just96) implies:
% 45.38/6.70  |   (38)  $i(c_individual)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just98) implies:
% 45.38/6.70  |   (39)  $i(c_collection)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just114) implies:
% 45.38/6.70  |   (40)  $i(c_fixedordercollection)
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (just116) implies:
% 45.38/6.70  |   (41)  $i(c_firstordercollection)
% 45.38/6.70  |   (42)   ! [v0: $i] : ( ~ $i(v0) |  ~ firstordercollection(v0) | isa(v0,
% 45.38/6.70  |             c_firstordercollection))
% 45.38/6.70  | 
% 45.38/6.70  | ALPHA: (query40) implies:
% 45.38/6.70  |   (43)  $i(c_tptpcol_16_62187)
% 45.38/6.70  |   (44)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 45.38/6.70  |         (f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm) = v0 &
% 45.38/6.70  |           f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1,
% 45.38/6.70  |             c_translation_14) = v2 & $i(v2) & $i(v1) & $i(v0) & mtvisible(v2)
% 45.38/6.70  |           & tptpcol_15_109185(c_tptpcol_16_62187))
% 45.38/6.70  | 
% 45.38/6.71  | DELTA: instantiating (44) with fresh symbols all_119_0, all_119_1, all_119_2
% 45.38/6.71  |        gives:
% 45.38/6.71  |   (45)  f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm) = all_119_2 &
% 45.38/6.71  |         f_urlreferentfn(all_119_2) = all_119_1 &
% 45.38/6.71  |         f_contentmtofcdafromeventfn(all_119_1, c_translation_14) = all_119_0 &
% 45.38/6.71  |         $i(all_119_0) & $i(all_119_1) & $i(all_119_2) & mtvisible(all_119_0) &
% 45.38/6.71  |         tptpcol_15_109185(c_tptpcol_16_62187)
% 45.38/6.71  | 
% 45.38/6.71  | ALPHA: (45) implies:
% 45.38/6.71  |   (46)  tptpcol_15_109185(c_tptpcol_16_62187)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_fixedordercollection,
% 45.38/6.71  |              c_collection, c_firstordercollection, simplifying with (1), (3),
% 45.38/6.71  |              (39), (40), (41) gives:
% 45.38/6.71  |   (47)  genls(c_firstordercollection, c_collection)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_1_65536, c_tptpcol_0_0,
% 45.38/6.71  |              c_tptpcol_2_98304, simplifying with (6), (7), (35), (36), (37)
% 45.38/6.71  |              gives:
% 45.38/6.71  |   (48)  genls(c_tptpcol_2_98304, c_tptpcol_0_0)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_3_98305,
% 45.38/6.71  |              c_tptpcol_2_98304, c_tptpcol_4_106497, simplifying with (8), (9),
% 45.38/6.71  |              (33), (34), (35) gives:
% 45.38/6.71  |   (49)  genls(c_tptpcol_4_106497, c_tptpcol_2_98304)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_5_106498,
% 45.38/6.71  |              c_tptpcol_4_106497, c_tptpcol_6_108546, simplifying with (10),
% 45.38/6.71  |              (11), (31), (32), (33) gives:
% 45.38/6.71  |   (50)  genls(c_tptpcol_6_108546, c_tptpcol_4_106497)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_7_108547,
% 45.38/6.71  |              c_tptpcol_6_108546, c_tptpcol_8_109059, simplifying with (12),
% 45.38/6.71  |              (13), (29), (30), (31) gives:
% 45.38/6.71  |   (51)  genls(c_tptpcol_8_109059, c_tptpcol_6_108546)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_9_109060,
% 45.38/6.71  |              c_tptpcol_8_109059, c_tptpcol_10_109061, simplifying with (14),
% 45.38/6.71  |              (15), (27), (28), (29) gives:
% 45.38/6.71  |   (52)  genls(c_tptpcol_10_109061, c_tptpcol_8_109059)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_11_109125,
% 45.38/6.71  |              c_tptpcol_10_109061, c_tptpcol_12_109157, simplifying with (16),
% 45.38/6.71  |              (17), (25), (26), (27) gives:
% 45.38/6.71  |   (53)  genls(c_tptpcol_12_109157, c_tptpcol_10_109061)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_13_109173,
% 45.38/6.71  |              c_tptpcol_12_109157, c_tptpcol_14_109181, simplifying with (18),
% 45.38/6.71  |              (19), (23), (24), (25) gives:
% 45.38/6.71  |   (54)  genls(c_tptpcol_14_109181, c_tptpcol_12_109157)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (42) with c_tptpcol_16_62187, simplifying with (5),
% 45.38/6.71  |              (43) gives:
% 45.38/6.71  |   (55)  isa(c_tptpcol_16_62187, c_firstordercollection)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just102) with c_collection, c_individual,
% 45.38/6.71  |              c_tptpcol_0_0, simplifying with (2), (4), (37), (38), (39) gives:
% 45.38/6.71  |   (56)  disjointwith(c_collection, c_tptpcol_0_0)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (22) with c_tptpcol_16_62187, simplifying with
% 45.38/6.71  |              (43), (46) gives:
% 45.38/6.71  |   (57)  isa(c_tptpcol_16_62187, c_tptpcol_15_109185)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_2_98304, c_tptpcol_0_0,
% 45.38/6.71  |              c_tptpcol_4_106497, simplifying with (33), (35), (37), (48), (49)
% 45.38/6.71  |              gives:
% 45.38/6.71  |   (58)  genls(c_tptpcol_4_106497, c_tptpcol_0_0)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_6_108546,
% 45.38/6.71  |              c_tptpcol_4_106497, c_tptpcol_8_109059, simplifying with (29),
% 45.38/6.71  |              (31), (33), (50), (51) gives:
% 45.38/6.71  |   (59)  genls(c_tptpcol_8_109059, c_tptpcol_4_106497)
% 45.38/6.71  | 
% 45.38/6.71  | GROUND_INST: instantiating (just124) with c_tptpcol_10_109061,
% 45.38/6.71  |              c_tptpcol_8_109059, c_tptpcol_12_109157, simplifying with (25),
% 45.38/6.71  |              (27), (29), (52), (53) gives:
% 45.38/6.72  |   (60)  genls(c_tptpcol_12_109157, c_tptpcol_8_109059)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just103) with c_collection, c_tptpcol_0_0,
% 45.38/6.72  |              c_firstordercollection, simplifying with (37), (39), (41), (47),
% 45.38/6.72  |              (56) gives:
% 45.38/6.72  |   (61)  disjointwith(c_firstordercollection, c_tptpcol_0_0)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just111) with c_tptpcol_16_62187,
% 45.38/6.72  |              c_tptpcol_15_109185, c_tptpcol_14_109181, simplifying with (20),
% 45.38/6.72  |              (21), (23), (43), (57) gives:
% 45.38/6.72  |   (62)  isa(c_tptpcol_16_62187, c_tptpcol_14_109181)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just102) with c_firstordercollection,
% 45.38/6.72  |              c_tptpcol_0_0, c_tptpcol_4_106497, simplifying with (33), (37),
% 45.38/6.72  |              (41), (58), (61) gives:
% 45.38/6.72  |   (63)  disjointwith(c_firstordercollection, c_tptpcol_4_106497)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just111) with c_tptpcol_16_62187,
% 45.38/6.72  |              c_tptpcol_14_109181, c_tptpcol_12_109157, simplifying with (23),
% 45.38/6.72  |              (25), (43), (54), (62) gives:
% 45.38/6.72  |   (64)  isa(c_tptpcol_16_62187, c_tptpcol_12_109157)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just102) with c_firstordercollection,
% 45.38/6.72  |              c_tptpcol_4_106497, c_tptpcol_8_109059, simplifying with (29),
% 45.38/6.72  |              (33), (41), (59), (63) gives:
% 45.38/6.72  |   (65)  disjointwith(c_firstordercollection, c_tptpcol_8_109059)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just111) with c_tptpcol_16_62187,
% 45.38/6.72  |              c_tptpcol_12_109157, c_tptpcol_8_109059, simplifying with (25),
% 45.38/6.72  |              (29), (43), (60), (64) gives:
% 45.38/6.72  |   (66)  isa(c_tptpcol_16_62187, c_tptpcol_8_109059)
% 45.38/6.72  | 
% 45.38/6.72  | GROUND_INST: instantiating (just48) with c_tptpcol_16_62187,
% 45.38/6.72  |              c_firstordercollection, c_tptpcol_8_109059, simplifying with
% 45.38/6.72  |              (29), (41), (43), (55), (65), (66) gives:
% 45.38/6.72  |   (67)  $false
% 45.38/6.72  | 
% 45.38/6.72  | CLOSE: (67) is inconsistent.
% 45.38/6.72  | 
% 45.38/6.72  End of proof
% 45.38/6.72  % SZS output end Proof for theBenchmark
% 45.38/6.72  
% 45.38/6.72  6140ms
%------------------------------------------------------------------------------