TSTP Solution File: CSR026+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR026+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.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 21:36:27 EDT 2023
% Result : Theorem 69.30s 9.87s
% Output : Proof 133.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CSR026+2 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 06:50:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.63 ________ _____
% 0.23/0.63 ___ __ \_________(_)________________________________
% 0.23/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.23/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.23/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.23/0.63
% 0.23/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.23/0.63 (2023-06-19)
% 0.23/0.63
% 0.23/0.63 (c) Philipp Rümmer, 2009-2023
% 0.23/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.23/0.63 Amanda Stjerna.
% 0.23/0.63 Free software under BSD-3-Clause.
% 0.23/0.63
% 0.23/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.23/0.63
% 0.23/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.23/0.65 Running up to 7 provers in parallel.
% 0.23/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.23/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.23/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.23/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.23/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.23/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.23/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 10.20/2.13 Prover 1: Preprocessing ...
% 10.20/2.15 Prover 4: Preprocessing ...
% 10.69/2.18 Prover 5: Preprocessing ...
% 10.69/2.18 Prover 2: Preprocessing ...
% 10.69/2.18 Prover 0: Preprocessing ...
% 10.69/2.18 Prover 6: Preprocessing ...
% 10.69/2.18 Prover 3: Preprocessing ...
% 26.22/4.26 Prover 5: Proving ...
% 27.07/4.37 Prover 2: Proving ...
% 27.96/4.50 Prover 6: Constructing countermodel ...
% 28.47/4.54 Prover 3: Constructing countermodel ...
% 30.53/4.81 Prover 1: Constructing countermodel ...
% 36.80/5.65 Prover 4: Constructing countermodel ...
% 39.15/5.98 Prover 0: Proving ...
% 69.30/9.87 Prover 3: proved (9213ms)
% 69.30/9.87
% 69.30/9.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.30/9.87
% 69.30/9.87 Prover 6: stopped
% 69.30/9.87 Prover 5: stopped
% 69.30/9.89 Prover 2: stopped
% 69.30/9.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 69.30/9.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 69.30/9.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 69.30/9.90 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 69.30/9.92 Prover 0: stopped
% 69.30/9.94 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 74.62/10.58 Prover 7: Preprocessing ...
% 75.11/10.62 Prover 13: Preprocessing ...
% 75.11/10.62 Prover 11: Preprocessing ...
% 75.11/10.64 Prover 8: Preprocessing ...
% 75.11/10.65 Prover 10: Preprocessing ...
% 79.34/11.19 Prover 7: Constructing countermodel ...
% 81.64/11.46 Prover 10: Constructing countermodel ...
% 81.64/11.52 Prover 13: Warning: ignoring some quantifiers
% 82.29/11.56 Prover 13: Constructing countermodel ...
% 85.26/12.01 Prover 8: Warning: ignoring some quantifiers
% 85.91/12.04 Prover 8: Constructing countermodel ...
% 91.56/12.82 Prover 11: Constructing countermodel ...
% 102.24/14.22 Prover 13: stopped
% 103.01/14.26 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 105.70/14.62 Prover 16: Preprocessing ...
% 109.04/15.06 Prover 16: Warning: ignoring some quantifiers
% 109.43/15.10 Prover 16: Constructing countermodel ...
% 116.34/15.99 Prover 1: stopped
% 116.34/16.00 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 119.07/16.39 Prover 19: Preprocessing ...
% 126.90/17.37 Prover 19: Warning: ignoring some quantifiers
% 127.66/17.49 Prover 19: Constructing countermodel ...
% 132.29/18.12 Prover 10: Found proof (size 45)
% 132.29/18.12 Prover 10: proved (8234ms)
% 132.29/18.12 Prover 19: stopped
% 132.29/18.12 Prover 7: stopped
% 132.29/18.12 Prover 16: stopped
% 132.29/18.12 Prover 4: stopped
% 132.29/18.12 Prover 11: stopped
% 132.29/18.13 Prover 8: stopped
% 132.29/18.13
% 132.29/18.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 132.29/18.13
% 132.29/18.13 % SZS output start Proof for theBenchmark
% 132.95/18.15 Assumptions after simplification:
% 132.95/18.15 ---------------------------------
% 132.95/18.15
% 132.95/18.16 (ax1_1123)
% 132.95/18.16 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ mtvisible(v0) | ~
% 132.95/18.16 genlmt(v0, v1) | mtvisible(v1))
% 132.95/18.16
% 132.95/18.16 (ax1_1128)
% 132.95/18.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 132.95/18.16 ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 132.95/18.16
% 132.95/18.16 (ax1_163)
% 132.95/18.16 $i(c_tptprunningshorts) & $i(c_cyclistsmt) & ( ~ mtvisible(c_cyclistsmt) |
% 132.95/18.16 runningshorts(c_tptprunningshorts))
% 132.95/18.16
% 132.95/18.16 (ax1_165)
% 132.95/18.16 $i(c_tptpcol_16_29490) & $i(c_executionbyfiringsquad) & $i(c_tptp_9_720) &
% 132.95/18.16 $i(c_cyclistsmt) & ( ~ mtvisible(c_cyclistsmt) |
% 132.95/18.16 relationallexists(c_tptp_9_720, c_executionbyfiringsquad,
% 132.95/18.16 c_tptpcol_16_29490))
% 132.95/18.16
% 132.95/18.16 (ax1_254)
% 132.95/18.16 $i(c_tptp_spindleheadmt) & $i(c_cyclistsmt) & genlmt(c_tptp_spindleheadmt,
% 132.95/18.16 c_cyclistsmt)
% 132.95/18.16
% 132.95/18.16 (ax1_315)
% 132.95/18.16 $i(c_tptp_member3993_mt) & $i(c_tptp_spindleheadmt) &
% 132.95/18.16 genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)
% 132.95/18.16
% 132.95/18.16 (ax1_344)
% 132.95/18.16 $i(c_tptp_member2701_mt) & $i(c_tptp_spindlecollectormt) &
% 132.95/18.16 genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt)
% 132.95/18.16
% 132.95/18.16 (ax1_364)
% 132.95/18.16 $i(c_tptp_member3993_mt) & $i(c_tptp_spindlecollectormt) &
% 132.95/18.16 genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)
% 132.95/18.16
% 132.95/18.16 (ax1_440)
% 132.95/18.19 $i(n_756) & $i(c_tptp_member2701_mt) & ? [v0: $i] :
% 132.95/18.19 (f_tptpquantityfn_2(n_756) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 132.95/18.19 runningshorts(v1) | ~ mtvisible(c_tptp_member2701_mt) | tptpofobject(v1,
% 132.95/18.19 v0)))
% 132.95/18.19
% 132.95/18.19 (ax1_441)
% 132.95/18.19 $i(c_runningshorts) & $i(n_756) & $i(c_tptp_member2701_mt) &
% 132.95/18.19 $i(c_tptpofobject) & ? [v0: $i] : ( ~ mtvisible(c_tptp_member2701_mt) |
% 132.95/18.19 (f_tptpquantityfn_2(n_756) = v0 & $i(v0) &
% 132.95/18.19 relationallinstance(c_tptpofobject, c_runningshorts, v0)))
% 132.95/18.19
% 132.95/18.19 (ax1_460)
% 132.95/18.19 $i(c_tptpcol_15_4027) & $i(c_pushingwithfingers) & $i(c_cyclistsmt) & ( ~
% 132.95/18.19 mtvisible(c_cyclistsmt) | tptptypes_8_390(c_pushingwithfingers,
% 132.95/18.19 c_tptpcol_15_4027))
% 132.95/18.19
% 132.95/18.19 (ax1_479)
% 132.95/18.19 $i(c_tptp_member2862_mt) & $i(c_tptp_spindleheadmt) &
% 132.95/18.19 genlmt(c_tptp_member2862_mt, c_tptp_spindleheadmt)
% 132.95/18.19
% 132.95/18.19 (query76)
% 132.95/18.19 $i(n_756) & $i(c_tptprunningshorts) & $i(c_tptp_spindlecollectormt) & ? [v0:
% 132.95/18.19 $i] : (f_tptpquantityfn_2(n_756) = v0 & $i(v0) &
% 132.95/18.19 mtvisible(c_tptp_spindlecollectormt) & ~ tptpofobject(c_tptprunningshorts,
% 132.95/18.19 v0))
% 132.95/18.19
% 132.95/18.19 (function-axioms)
% 133.17/18.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 133.17/18.20 $i] : (v1 = v0 | ~ (f_relationallexistsfn(v5, v4, v3, v2) = v1) | ~
% 133.17/18.20 (f_relationallexistsfn(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 133.17/18.20 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~
% 133.17/18.20 (f_relationexistsallfn(v5, v4, v3, v2) = v1) | ~ (f_relationexistsallfn(v5,
% 133.17/18.20 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 133.17/18.20 $i] : ! [v4: $i] : (v1 = v0 | ~ (f_subcollectionofwithrelationtofn(v4, v3,
% 133.17/18.20 v2) = v1) | ~ (f_subcollectionofwithrelationtofn(v4, v3, v2) = v0)) &
% 133.17/18.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 133.17/18.20 | ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) | ~
% 133.17/18.20 (f_instancewithrelationtofn(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 133.17/18.20 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 133.17/18.20 (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v1) | ~
% 133.17/18.20 (f_subcollectionofwithrelationtotypefn(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 133.17/18.20 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 133.17/18.20 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~
% 133.17/18.20 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0: $i] :
% 133.17/18.20 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (f_citynamedfn(v3, v2)
% 133.17/18.20 = v1) | ~ (f_citynamedfn(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 133.17/18.20 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (f_contentmtofcdafromeventfn(v3, v2) =
% 133.17/18.20 v1) | ~ (f_contentmtofcdafromeventfn(v3, v2) = v0)) & ! [v0: $i] : !
% 133.17/18.20 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_tptpquantityfn_6(v2) = v1) | ~
% 133.17/18.20 (f_tptpquantityfn_6(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 133.17/18.20 (v1 = v0 | ~ (f_tptpquantityfn_2(v2) = v1) | ~ (f_tptpquantityfn_2(v2) =
% 133.17/18.20 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 133.17/18.20 (f_contextofpcwfn(v2) = v1) | ~ (f_contextofpcwfn(v2) = v0)) & ! [v0: $i]
% 133.17/18.20 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_tptpquantityfn_21(v2) = v1) |
% 133.17/18.20 ~ (f_tptpquantityfn_21(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 133.17/18.20 : (v1 = v0 | ~ (f_tptpquantityfn_14(v2) = v1) | ~ (f_tptpquantityfn_14(v2) =
% 133.17/18.20 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 133.17/18.20 (f_tptpquantityfn_13(v2) = v1) | ~ (f_tptpquantityfn_13(v2) = v0)) & !
% 133.17/18.20 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_tptpquantityfn_1(v2) =
% 133.17/18.20 v1) | ~ (f_tptpquantityfn_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 133.17/18.20 [v2: $i] : (v1 = v0 | ~ (f_urlfn(v2) = v1) | ~ (f_urlfn(v2) = v0)) & ! [v0:
% 133.17/18.20 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (f_urlreferentfn(v2) = v1) |
% 133.17/18.20 ~ (f_urlreferentfn(v2) = v0))
% 133.17/18.20
% 133.17/18.20 Further assumptions not needed in the proof:
% 133.17/18.20 --------------------------------------------
% 133.17/18.20 ax1_1, ax1_10, ax1_100, ax1_1000, ax1_1001, ax1_1002, ax1_1003, ax1_1004,
% 133.17/18.20 ax1_1005, ax1_1006, ax1_1007, ax1_1008, ax1_1009, ax1_101, ax1_1010, ax1_1011,
% 133.17/18.20 ax1_1012, ax1_1013, ax1_1014, ax1_1015, ax1_1016, ax1_1017, ax1_1018, ax1_1019,
% 133.17/18.20 ax1_102, ax1_1020, ax1_1021, ax1_1022, ax1_1023, ax1_1024, ax1_1025, ax1_1026,
% 133.17/18.20 ax1_1027, ax1_1028, ax1_1029, ax1_103, ax1_1030, ax1_1031, ax1_1032, ax1_1033,
% 133.17/18.20 ax1_1034, ax1_1035, ax1_1036, ax1_1037, ax1_1038, ax1_1039, ax1_104, ax1_1040,
% 133.17/18.20 ax1_1041, ax1_1042, ax1_1043, ax1_1044, ax1_1045, ax1_1046, ax1_1047, ax1_1048,
% 133.17/18.20 ax1_1049, ax1_105, ax1_1050, ax1_1051, ax1_1052, ax1_1053, ax1_1054, ax1_1055,
% 133.17/18.20 ax1_1056, ax1_1057, ax1_1058, ax1_1059, ax1_106, ax1_1060, ax1_1061, ax1_1062,
% 133.17/18.20 ax1_1063, ax1_1064, ax1_1065, ax1_1066, ax1_1067, ax1_1068, ax1_1069, ax1_107,
% 133.17/18.20 ax1_1070, ax1_1071, ax1_1072, ax1_1073, ax1_1074, ax1_1075, ax1_1076, ax1_1077,
% 133.17/18.20 ax1_1078, ax1_1079, ax1_108, ax1_1080, ax1_1081, ax1_1082, ax1_1083, ax1_1084,
% 133.17/18.20 ax1_1085, ax1_1086, ax1_1087, ax1_1088, ax1_1089, ax1_109, ax1_1090, ax1_1091,
% 133.17/18.20 ax1_1092, ax1_1093, ax1_1094, ax1_1095, ax1_1096, ax1_1097, ax1_1098, ax1_1099,
% 133.17/18.20 ax1_11, ax1_110, ax1_1100, ax1_1101, ax1_1102, ax1_1103, ax1_1104, ax1_1105,
% 133.17/18.20 ax1_1106, ax1_1107, ax1_1108, ax1_1109, ax1_111, ax1_1110, ax1_1111, ax1_1112,
% 133.17/18.20 ax1_1113, ax1_1114, ax1_1115, ax1_1116, ax1_1117, ax1_1118, ax1_1119, ax1_112,
% 133.17/18.20 ax1_1120, ax1_1121, ax1_1122, ax1_1124, ax1_1125, ax1_1126, ax1_1127, ax1_1129,
% 133.17/18.20 ax1_113, ax1_1130, ax1_1131, ax1_114, ax1_115, ax1_116, ax1_117, ax1_118,
% 133.17/18.20 ax1_119, ax1_12, ax1_120, ax1_121, ax1_122, ax1_123, ax1_124, ax1_125, ax1_126,
% 133.17/18.20 ax1_127, ax1_128, ax1_129, ax1_13, ax1_130, ax1_131, ax1_132, ax1_133, ax1_134,
% 133.17/18.20 ax1_135, ax1_136, ax1_137, ax1_138, ax1_139, ax1_14, ax1_140, ax1_141, ax1_142,
% 133.17/18.20 ax1_143, ax1_144, ax1_145, ax1_146, ax1_147, ax1_148, ax1_149, ax1_15, ax1_150,
% 133.17/18.20 ax1_151, ax1_152, ax1_153, ax1_154, ax1_155, ax1_156, ax1_157, ax1_158, ax1_159,
% 133.17/18.20 ax1_16, ax1_160, ax1_161, ax1_162, ax1_164, ax1_166, ax1_167, ax1_168, ax1_169,
% 133.17/18.20 ax1_17, ax1_170, ax1_171, ax1_172, ax1_173, ax1_174, ax1_175, ax1_176, ax1_177,
% 133.17/18.20 ax1_178, ax1_179, ax1_18, ax1_180, ax1_181, ax1_182, ax1_183, ax1_184, ax1_185,
% 133.17/18.20 ax1_186, ax1_187, ax1_188, ax1_189, ax1_19, ax1_190, ax1_191, ax1_192, ax1_193,
% 133.17/18.20 ax1_194, ax1_195, ax1_196, ax1_197, ax1_198, ax1_199, ax1_2, ax1_20, ax1_200,
% 133.17/18.20 ax1_201, ax1_202, ax1_203, ax1_204, ax1_205, ax1_206, ax1_207, ax1_208, ax1_209,
% 133.17/18.20 ax1_21, ax1_210, ax1_211, ax1_212, ax1_213, ax1_214, ax1_215, ax1_216, ax1_217,
% 133.17/18.20 ax1_218, ax1_219, ax1_22, ax1_220, ax1_221, ax1_222, ax1_223, ax1_224, ax1_225,
% 133.17/18.20 ax1_226, ax1_227, ax1_228, ax1_229, ax1_23, ax1_230, ax1_231, ax1_232, ax1_233,
% 133.17/18.20 ax1_234, ax1_235, ax1_236, ax1_237, ax1_238, ax1_239, ax1_24, ax1_240, ax1_241,
% 133.17/18.20 ax1_242, ax1_243, ax1_244, ax1_245, ax1_246, ax1_247, ax1_248, ax1_249, ax1_25,
% 133.17/18.20 ax1_250, ax1_251, ax1_252, ax1_253, ax1_255, ax1_256, ax1_257, ax1_258, ax1_259,
% 133.17/18.20 ax1_26, ax1_260, ax1_261, ax1_262, ax1_263, ax1_264, ax1_265, ax1_266, ax1_267,
% 133.17/18.20 ax1_268, ax1_269, ax1_27, ax1_270, ax1_271, ax1_272, ax1_273, ax1_274, ax1_275,
% 133.17/18.20 ax1_276, ax1_277, ax1_278, ax1_279, ax1_28, ax1_280, ax1_281, ax1_282, ax1_283,
% 133.17/18.20 ax1_284, ax1_285, ax1_286, ax1_287, ax1_288, ax1_289, ax1_29, ax1_290, ax1_291,
% 133.17/18.20 ax1_292, ax1_293, ax1_294, ax1_295, ax1_296, ax1_297, ax1_298, ax1_299, ax1_3,
% 133.17/18.20 ax1_30, ax1_300, ax1_301, ax1_302, ax1_303, ax1_304, ax1_305, ax1_306, ax1_307,
% 133.17/18.20 ax1_308, ax1_309, ax1_31, ax1_310, ax1_311, ax1_312, ax1_313, ax1_314, ax1_316,
% 133.17/18.20 ax1_317, ax1_318, ax1_319, ax1_32, ax1_320, ax1_321, ax1_322, ax1_323, ax1_324,
% 133.17/18.20 ax1_325, ax1_326, ax1_327, ax1_328, ax1_329, ax1_33, ax1_330, ax1_331, ax1_332,
% 133.17/18.20 ax1_333, ax1_334, ax1_335, ax1_336, ax1_337, ax1_338, ax1_339, ax1_34, ax1_340,
% 133.17/18.20 ax1_341, ax1_342, ax1_343, ax1_345, ax1_346, ax1_347, ax1_348, ax1_349, ax1_35,
% 133.17/18.20 ax1_350, ax1_351, ax1_352, ax1_353, ax1_354, ax1_355, ax1_356, ax1_357, ax1_358,
% 133.17/18.20 ax1_359, ax1_36, ax1_360, ax1_361, ax1_362, ax1_363, ax1_365, ax1_366, ax1_367,
% 133.17/18.20 ax1_368, ax1_369, ax1_37, ax1_370, ax1_371, ax1_372, ax1_373, ax1_374, ax1_375,
% 133.17/18.20 ax1_376, ax1_377, ax1_378, ax1_379, ax1_38, ax1_380, ax1_381, ax1_382, ax1_383,
% 133.17/18.20 ax1_384, ax1_385, ax1_386, ax1_387, ax1_388, ax1_389, ax1_39, ax1_390, ax1_391,
% 133.17/18.20 ax1_392, ax1_393, ax1_394, ax1_395, ax1_396, ax1_397, ax1_398, ax1_399, ax1_4,
% 133.17/18.20 ax1_40, ax1_400, ax1_401, ax1_402, ax1_403, ax1_404, ax1_405, ax1_406, ax1_407,
% 133.17/18.20 ax1_408, ax1_409, ax1_41, ax1_410, ax1_411, ax1_412, ax1_413, ax1_414, ax1_415,
% 133.17/18.20 ax1_416, ax1_417, ax1_418, ax1_419, ax1_42, ax1_420, ax1_421, ax1_422, ax1_423,
% 133.17/18.20 ax1_424, ax1_425, ax1_426, ax1_427, ax1_428, ax1_429, ax1_43, ax1_430, ax1_431,
% 133.17/18.20 ax1_432, ax1_433, ax1_434, ax1_435, ax1_436, ax1_437, ax1_438, ax1_439, ax1_44,
% 133.17/18.20 ax1_442, ax1_443, ax1_444, ax1_445, ax1_446, ax1_447, ax1_448, ax1_449, ax1_45,
% 133.17/18.20 ax1_450, ax1_451, ax1_452, ax1_453, ax1_454, ax1_455, ax1_456, ax1_457, ax1_458,
% 133.17/18.20 ax1_459, ax1_46, ax1_461, ax1_462, ax1_463, ax1_464, ax1_465, ax1_466, ax1_467,
% 133.17/18.20 ax1_468, ax1_469, ax1_47, ax1_470, ax1_471, ax1_472, ax1_473, ax1_474, ax1_475,
% 133.17/18.20 ax1_476, ax1_477, ax1_478, ax1_48, ax1_480, ax1_481, ax1_482, ax1_483, ax1_484,
% 133.17/18.20 ax1_485, ax1_486, ax1_487, ax1_488, ax1_489, ax1_49, ax1_490, ax1_491, ax1_492,
% 133.17/18.20 ax1_493, ax1_494, ax1_495, ax1_496, ax1_497, ax1_498, ax1_499, ax1_5, ax1_50,
% 133.17/18.20 ax1_500, ax1_501, ax1_502, ax1_503, ax1_504, ax1_505, ax1_506, ax1_507, ax1_508,
% 133.17/18.20 ax1_509, ax1_51, ax1_510, ax1_511, ax1_512, ax1_513, ax1_514, ax1_515, ax1_516,
% 133.17/18.20 ax1_517, ax1_518, ax1_519, ax1_52, ax1_520, ax1_521, ax1_522, ax1_523, ax1_524,
% 133.17/18.20 ax1_525, ax1_526, ax1_527, ax1_528, ax1_529, ax1_53, ax1_530, ax1_531, ax1_532,
% 133.17/18.20 ax1_533, ax1_534, ax1_535, ax1_536, ax1_537, ax1_538, ax1_539, ax1_54, ax1_540,
% 133.17/18.20 ax1_541, ax1_542, ax1_543, ax1_544, ax1_545, ax1_546, ax1_547, ax1_548, ax1_549,
% 133.17/18.20 ax1_55, ax1_550, ax1_551, ax1_552, ax1_553, ax1_554, ax1_555, ax1_556, ax1_557,
% 133.17/18.20 ax1_558, ax1_559, ax1_56, ax1_560, ax1_561, ax1_562, ax1_563, ax1_564, ax1_565,
% 133.17/18.20 ax1_566, ax1_567, ax1_568, ax1_569, ax1_57, ax1_570, ax1_571, ax1_572, ax1_573,
% 133.17/18.20 ax1_574, ax1_575, ax1_576, ax1_577, ax1_578, ax1_579, ax1_58, ax1_580, ax1_581,
% 133.17/18.20 ax1_582, ax1_583, ax1_584, ax1_585, ax1_586, ax1_587, ax1_588, ax1_589, ax1_59,
% 133.17/18.20 ax1_590, ax1_591, ax1_592, ax1_593, ax1_594, ax1_595, ax1_596, ax1_597, ax1_598,
% 133.17/18.20 ax1_599, ax1_6, ax1_60, ax1_600, ax1_601, ax1_602, ax1_603, ax1_604, ax1_605,
% 133.17/18.20 ax1_606, ax1_607, ax1_608, ax1_609, ax1_61, ax1_610, ax1_611, ax1_612, ax1_613,
% 133.17/18.20 ax1_614, ax1_615, ax1_616, ax1_617, ax1_618, ax1_619, ax1_62, ax1_620, ax1_621,
% 133.17/18.20 ax1_622, ax1_623, ax1_624, ax1_625, ax1_626, ax1_627, ax1_628, ax1_629, ax1_63,
% 133.17/18.20 ax1_630, ax1_631, ax1_632, ax1_633, ax1_634, ax1_635, ax1_636, ax1_637, ax1_638,
% 133.17/18.20 ax1_639, ax1_64, ax1_640, ax1_641, ax1_642, ax1_643, ax1_644, ax1_645, ax1_646,
% 133.17/18.20 ax1_647, ax1_648, ax1_649, ax1_65, ax1_650, ax1_651, ax1_652, ax1_653, ax1_654,
% 133.17/18.20 ax1_655, ax1_656, ax1_657, ax1_658, ax1_659, ax1_66, ax1_660, ax1_661, ax1_662,
% 133.17/18.20 ax1_663, ax1_664, ax1_665, ax1_666, ax1_667, ax1_668, ax1_669, ax1_67, ax1_670,
% 133.17/18.20 ax1_671, ax1_672, ax1_673, ax1_674, ax1_675, ax1_676, ax1_677, ax1_678, ax1_679,
% 133.17/18.20 ax1_68, ax1_680, ax1_681, ax1_682, ax1_683, ax1_684, ax1_685, ax1_686, ax1_687,
% 133.17/18.20 ax1_688, ax1_689, ax1_69, ax1_690, ax1_691, ax1_692, ax1_693, ax1_694, ax1_695,
% 133.17/18.20 ax1_696, ax1_697, ax1_698, ax1_699, ax1_7, ax1_70, ax1_700, ax1_701, ax1_702,
% 133.17/18.20 ax1_703, ax1_704, ax1_705, ax1_706, ax1_707, ax1_708, ax1_709, ax1_71, ax1_710,
% 133.17/18.20 ax1_711, ax1_712, ax1_713, ax1_714, ax1_715, ax1_716, ax1_717, ax1_718, ax1_719,
% 133.17/18.20 ax1_72, ax1_720, ax1_721, ax1_722, ax1_723, ax1_724, ax1_725, ax1_726, ax1_727,
% 133.17/18.20 ax1_728, ax1_729, ax1_73, ax1_730, ax1_731, ax1_732, ax1_733, ax1_734, ax1_735,
% 133.17/18.20 ax1_736, ax1_737, ax1_738, ax1_739, ax1_74, ax1_740, ax1_741, ax1_742, ax1_743,
% 133.17/18.20 ax1_744, ax1_745, ax1_746, ax1_747, ax1_748, ax1_749, ax1_75, ax1_750, ax1_751,
% 133.17/18.20 ax1_752, ax1_753, ax1_754, ax1_755, ax1_756, ax1_757, ax1_758, ax1_759, ax1_76,
% 133.17/18.20 ax1_760, ax1_761, ax1_762, ax1_763, ax1_764, ax1_765, ax1_766, ax1_767, ax1_768,
% 133.17/18.20 ax1_769, ax1_77, ax1_770, ax1_771, ax1_772, ax1_773, ax1_774, ax1_775, ax1_776,
% 133.17/18.20 ax1_777, ax1_778, ax1_779, ax1_78, ax1_780, ax1_781, ax1_782, ax1_783, ax1_784,
% 133.17/18.20 ax1_785, ax1_786, ax1_787, ax1_788, ax1_789, ax1_79, ax1_790, ax1_791, ax1_792,
% 133.17/18.20 ax1_793, ax1_794, ax1_795, ax1_796, ax1_797, ax1_798, ax1_799, ax1_8, ax1_80,
% 133.17/18.20 ax1_800, ax1_801, ax1_802, ax1_803, ax1_804, ax1_805, ax1_806, ax1_807, ax1_808,
% 133.17/18.20 ax1_809, ax1_81, ax1_810, ax1_811, ax1_812, ax1_813, ax1_814, ax1_815, ax1_816,
% 133.17/18.20 ax1_817, ax1_818, ax1_819, ax1_82, ax1_820, ax1_821, ax1_822, ax1_823, ax1_824,
% 133.17/18.20 ax1_825, ax1_826, ax1_827, ax1_828, ax1_829, ax1_83, ax1_830, ax1_831, ax1_832,
% 133.17/18.20 ax1_833, ax1_834, ax1_835, ax1_836, ax1_837, ax1_838, ax1_839, ax1_84, ax1_840,
% 133.17/18.20 ax1_841, ax1_842, ax1_843, ax1_844, ax1_845, ax1_846, ax1_847, ax1_848, ax1_849,
% 133.17/18.20 ax1_85, ax1_850, ax1_851, ax1_852, ax1_853, ax1_854, ax1_855, ax1_856, ax1_857,
% 133.17/18.20 ax1_858, ax1_859, ax1_86, ax1_860, ax1_861, ax1_862, ax1_863, ax1_864, ax1_865,
% 133.17/18.20 ax1_866, ax1_867, ax1_868, ax1_869, ax1_87, ax1_870, ax1_871, ax1_872, ax1_873,
% 133.17/18.20 ax1_874, ax1_875, ax1_876, ax1_877, ax1_878, ax1_879, ax1_88, ax1_880, ax1_881,
% 133.17/18.20 ax1_882, ax1_883, ax1_884, ax1_885, ax1_886, ax1_887, ax1_888, ax1_889, ax1_89,
% 133.17/18.20 ax1_890, ax1_891, ax1_892, ax1_893, ax1_894, ax1_895, ax1_896, ax1_897, ax1_898,
% 133.17/18.20 ax1_899, ax1_9, ax1_90, ax1_900, ax1_901, ax1_902, ax1_903, ax1_904, ax1_905,
% 133.17/18.20 ax1_906, ax1_907, ax1_908, ax1_909, ax1_91, ax1_910, ax1_911, ax1_912, ax1_913,
% 133.17/18.20 ax1_914, ax1_915, ax1_916, ax1_917, ax1_918, ax1_919, ax1_92, ax1_920, ax1_921,
% 133.17/18.20 ax1_922, ax1_923, ax1_924, ax1_925, ax1_926, ax1_927, ax1_928, ax1_929, ax1_93,
% 133.17/18.20 ax1_930, ax1_931, ax1_932, ax1_933, ax1_934, ax1_935, ax1_936, ax1_937, ax1_938,
% 133.17/18.20 ax1_939, ax1_94, ax1_940, ax1_941, ax1_942, ax1_943, ax1_944, ax1_945, ax1_946,
% 133.17/18.20 ax1_947, ax1_948, ax1_949, ax1_95, ax1_950, ax1_951, ax1_952, ax1_953, ax1_954,
% 133.17/18.20 ax1_955, ax1_956, ax1_957, ax1_958, ax1_959, ax1_96, ax1_960, ax1_961, ax1_962,
% 133.17/18.20 ax1_963, ax1_964, ax1_965, ax1_966, ax1_967, ax1_968, ax1_969, ax1_97, ax1_970,
% 133.17/18.20 ax1_971, ax1_972, ax1_973, ax1_974, ax1_975, ax1_976, ax1_977, ax1_978, ax1_979,
% 133.17/18.20 ax1_98, ax1_980, ax1_981, ax1_982, ax1_983, ax1_984, ax1_985, ax1_986, ax1_987,
% 133.17/18.20 ax1_988, ax1_989, ax1_99, ax1_990, ax1_991, ax1_992, ax1_993, ax1_994, ax1_995,
% 133.17/18.20 ax1_996, ax1_997, ax1_998, ax1_999
% 133.17/18.20
% 133.17/18.20 Those formulas are unsatisfiable:
% 133.17/18.20 ---------------------------------
% 133.17/18.20
% 133.17/18.20 Begin of proof
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_163) implies:
% 133.17/18.21 | (1) ~ mtvisible(c_cyclistsmt) | runningshorts(c_tptprunningshorts)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_165) implies:
% 133.17/18.21 | (2) ~ mtvisible(c_cyclistsmt) | relationallexists(c_tptp_9_720,
% 133.17/18.21 | c_executionbyfiringsquad, c_tptpcol_16_29490)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_254) implies:
% 133.17/18.21 | (3) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_315) implies:
% 133.17/18.21 | (4) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_344) implies:
% 133.17/18.21 | (5) genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_364) implies:
% 133.17/18.21 | (6) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)
% 133.17/18.21 | (7) $i(c_tptp_member3993_mt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_440) implies:
% 133.17/18.21 | (8) ? [v0: $i] : (f_tptpquantityfn_2(n_756) = v0 & $i(v0) & ! [v1: $i] :
% 133.17/18.21 | ( ~ $i(v1) | ~ runningshorts(v1) | ~
% 133.17/18.21 | mtvisible(c_tptp_member2701_mt) | tptpofobject(v1, v0)))
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_441) implies:
% 133.17/18.21 | (9) $i(c_tptp_member2701_mt)
% 133.17/18.21 | (10) ? [v0: $i] : ( ~ mtvisible(c_tptp_member2701_mt) |
% 133.17/18.21 | (f_tptpquantityfn_2(n_756) = v0 & $i(v0) &
% 133.17/18.21 | relationallinstance(c_tptpofobject, c_runningshorts, v0)))
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_460) implies:
% 133.17/18.21 | (11) $i(c_cyclistsmt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (ax1_479) implies:
% 133.17/18.21 | (12) $i(c_tptp_spindleheadmt)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (query76) implies:
% 133.17/18.21 | (13) $i(c_tptp_spindlecollectormt)
% 133.17/18.21 | (14) $i(c_tptprunningshorts)
% 133.17/18.21 | (15) ? [v0: $i] : (f_tptpquantityfn_2(n_756) = v0 & $i(v0) &
% 133.17/18.21 | mtvisible(c_tptp_spindlecollectormt) & ~
% 133.17/18.21 | tptpofobject(c_tptprunningshorts, v0))
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (function-axioms) implies:
% 133.17/18.21 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 133.17/18.21 | (f_tptpquantityfn_2(v2) = v1) | ~ (f_tptpquantityfn_2(v2) = v0))
% 133.17/18.21 |
% 133.17/18.21 | DELTA: instantiating (10) with fresh symbol all_818_0 gives:
% 133.17/18.21 | (17) ~ mtvisible(c_tptp_member2701_mt) | (f_tptpquantityfn_2(n_756) =
% 133.17/18.21 | all_818_0 & $i(all_818_0) & relationallinstance(c_tptpofobject,
% 133.17/18.21 | c_runningshorts, all_818_0))
% 133.17/18.21 |
% 133.17/18.21 | DELTA: instantiating (15) with fresh symbol all_820_0 gives:
% 133.17/18.21 | (18) f_tptpquantityfn_2(n_756) = all_820_0 & $i(all_820_0) &
% 133.17/18.21 | mtvisible(c_tptp_spindlecollectormt) & ~
% 133.17/18.21 | tptpofobject(c_tptprunningshorts, all_820_0)
% 133.17/18.21 |
% 133.17/18.21 | ALPHA: (18) implies:
% 133.17/18.22 | (19) ~ tptpofobject(c_tptprunningshorts, all_820_0)
% 133.17/18.22 | (20) mtvisible(c_tptp_spindlecollectormt)
% 133.17/18.22 | (21) f_tptpquantityfn_2(n_756) = all_820_0
% 133.17/18.22 |
% 133.17/18.22 | DELTA: instantiating (8) with fresh symbol all_873_0 gives:
% 133.17/18.22 | (22) f_tptpquantityfn_2(n_756) = all_873_0 & $i(all_873_0) & ! [v0: $i] :
% 133.17/18.22 | ( ~ $i(v0) | ~ runningshorts(v0) | ~ mtvisible(c_tptp_member2701_mt)
% 133.17/18.22 | | tptpofobject(v0, all_873_0))
% 133.17/18.22 |
% 133.17/18.22 | ALPHA: (22) implies:
% 133.17/18.22 | (23) f_tptpquantityfn_2(n_756) = all_873_0
% 133.17/18.22 | (24) ! [v0: $i] : ( ~ $i(v0) | ~ runningshorts(v0) | ~
% 133.17/18.22 | mtvisible(c_tptp_member2701_mt) | tptpofobject(v0, all_873_0))
% 133.17/18.22 |
% 133.17/18.22 | GROUND_INST: instantiating (16) with all_820_0, all_873_0, n_756, simplifying
% 133.17/18.22 | with (21), (23) gives:
% 133.17/18.22 | (25) all_873_0 = all_820_0
% 133.17/18.22 |
% 133.17/18.22 | GROUND_INST: instantiating (ax1_1128) with c_tptp_member3993_mt,
% 133.17/18.22 | c_tptp_spindleheadmt, c_cyclistsmt, simplifying with (3), (4),
% 133.17/18.22 | (7), (11), (12) gives:
% 133.17/18.22 | (26) genlmt(c_tptp_member3993_mt, c_cyclistsmt)
% 133.17/18.22 |
% 133.17/18.22 | GROUND_INST: instantiating (ax1_1123) with c_tptp_spindlecollectormt,
% 133.17/18.22 | c_tptp_member2701_mt, simplifying with (5), (9), (13), (20)
% 133.17/18.22 | gives:
% 133.17/18.22 | (27) mtvisible(c_tptp_member2701_mt)
% 133.17/18.22 |
% 133.17/18.22 | GROUND_INST: instantiating (ax1_1123) with c_tptp_spindlecollectormt,
% 133.17/18.22 | c_tptp_member3993_mt, simplifying with (6), (7), (13), (20)
% 133.17/18.22 | gives:
% 133.17/18.22 | (28) mtvisible(c_tptp_member3993_mt)
% 133.17/18.22 |
% 133.17/18.22 | BETA: splitting (17) gives:
% 133.17/18.22 |
% 133.17/18.22 | Case 1:
% 133.17/18.22 | |
% 133.17/18.22 | | (29) ~ mtvisible(c_tptp_member2701_mt)
% 133.17/18.22 | |
% 133.17/18.22 | | PRED_UNIFY: (27), (29) imply:
% 133.17/18.22 | | (30) $false
% 133.17/18.22 | |
% 133.17/18.22 | | CLOSE: (30) is inconsistent.
% 133.17/18.22 | |
% 133.17/18.22 | Case 2:
% 133.17/18.22 | |
% 133.17/18.22 | | (31) f_tptpquantityfn_2(n_756) = all_818_0 & $i(all_818_0) &
% 133.17/18.22 | | relationallinstance(c_tptpofobject, c_runningshorts, all_818_0)
% 133.17/18.22 | |
% 133.17/18.22 | | ALPHA: (31) implies:
% 133.17/18.22 | | (32) f_tptpquantityfn_2(n_756) = all_818_0
% 133.17/18.22 | |
% 133.17/18.22 | | GROUND_INST: instantiating (16) with all_820_0, all_818_0, n_756,
% 133.17/18.22 | | simplifying with (21), (32) gives:
% 133.17/18.22 | | (33) all_820_0 = all_818_0
% 133.17/18.22 | |
% 133.17/18.22 | | COMBINE_EQS: (25), (33) imply:
% 133.17/18.22 | | (34) all_873_0 = all_818_0
% 133.17/18.22 | |
% 133.17/18.22 | | REDUCE: (19), (33) imply:
% 133.17/18.22 | | (35) ~ tptpofobject(c_tptprunningshorts, all_818_0)
% 133.17/18.22 | |
% 133.17/18.22 | | BETA: splitting (2) gives:
% 133.17/18.22 | |
% 133.17/18.22 | | Case 1:
% 133.17/18.22 | | |
% 133.17/18.22 | | | (36) ~ mtvisible(c_cyclistsmt)
% 133.17/18.22 | | |
% 133.17/18.22 | | | GROUND_INST: instantiating (ax1_1123) with c_tptp_member3993_mt,
% 133.17/18.22 | | | c_cyclistsmt, simplifying with (7), (11), (26), (28), (36)
% 133.17/18.22 | | | gives:
% 133.17/18.22 | | | (37) $false
% 133.17/18.22 | | |
% 133.17/18.22 | | | CLOSE: (37) is inconsistent.
% 133.17/18.22 | | |
% 133.17/18.22 | | Case 2:
% 133.17/18.22 | | |
% 133.17/18.22 | | | (38) mtvisible(c_cyclistsmt)
% 133.17/18.22 | | |
% 133.17/18.22 | | | BETA: splitting (1) gives:
% 133.17/18.22 | | |
% 133.17/18.22 | | | Case 1:
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | (39) ~ mtvisible(c_cyclistsmt)
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | PRED_UNIFY: (38), (39) imply:
% 133.17/18.22 | | | | (40) $false
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | CLOSE: (40) is inconsistent.
% 133.17/18.22 | | | |
% 133.17/18.22 | | | Case 2:
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | (41) runningshorts(c_tptprunningshorts)
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | GROUND_INST: instantiating (24) with c_tptprunningshorts, simplifying
% 133.17/18.22 | | | | with (14), (27), (41) gives:
% 133.17/18.22 | | | | (42) tptpofobject(c_tptprunningshorts, all_873_0)
% 133.17/18.22 | | | |
% 133.17/18.22 | | | | REDUCE: (34), (42) imply:
% 133.17/18.22 | | | | (43) tptpofobject(c_tptprunningshorts, all_818_0)
% 133.17/18.22 | | | |
% 133.17/18.23 | | | | PRED_UNIFY: (35), (43) imply:
% 133.17/18.23 | | | | (44) $false
% 133.17/18.23 | | | |
% 133.17/18.23 | | | | CLOSE: (44) is inconsistent.
% 133.17/18.23 | | | |
% 133.17/18.23 | | | End of split
% 133.17/18.23 | | |
% 133.17/18.23 | | End of split
% 133.17/18.23 | |
% 133.17/18.23 | End of split
% 133.17/18.23 |
% 133.17/18.23 End of proof
% 133.17/18.23 % SZS output end Proof for theBenchmark
% 133.17/18.23
% 133.17/18.23 17591ms
%------------------------------------------------------------------------------