TSTP Solution File: CSR058+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR058+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 : n008.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 21:36:58 EDT 2023
% Result : Theorem 6.61s 1.67s
% Output : Proof 9.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR058+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 14:00:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.10/1.15 Prover 4: Preprocessing ...
% 3.10/1.15 Prover 1: Preprocessing ...
% 3.10/1.19 Prover 3: Preprocessing ...
% 3.10/1.19 Prover 6: Preprocessing ...
% 3.10/1.19 Prover 0: Preprocessing ...
% 3.10/1.19 Prover 5: Preprocessing ...
% 3.10/1.19 Prover 2: Preprocessing ...
% 4.75/1.49 Prover 2: Proving ...
% 4.75/1.50 Prover 5: Proving ...
% 5.99/1.60 Prover 6: Proving ...
% 5.99/1.63 Prover 3: Warning: ignoring some quantifiers
% 5.99/1.63 Prover 1: Warning: ignoring some quantifiers
% 6.61/1.67 Prover 1: Constructing countermodel ...
% 6.61/1.67 Prover 2: proved (1019ms)
% 6.61/1.67
% 6.61/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/1.67
% 6.61/1.68 Prover 3: Constructing countermodel ...
% 6.93/1.68 Prover 5: stopped
% 6.93/1.68 Prover 6: stopped
% 6.93/1.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.93/1.68 Prover 3: stopped
% 6.93/1.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.93/1.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.93/1.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.37/1.74 Prover 10: Preprocessing ...
% 7.53/1.76 Prover 8: Preprocessing ...
% 7.53/1.76 Prover 4: Constructing countermodel ...
% 7.53/1.77 Prover 7: Preprocessing ...
% 7.53/1.78 Prover 11: Preprocessing ...
% 7.53/1.80 Prover 0: Proving ...
% 7.53/1.81 Prover 0: stopped
% 7.98/1.83 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.98/1.85 Prover 10: Constructing countermodel ...
% 8.26/1.86 Prover 13: Preprocessing ...
% 8.26/1.91 Prover 7: Constructing countermodel ...
% 8.82/1.96 Prover 13: Warning: ignoring some quantifiers
% 8.82/1.97 Prover 13: Constructing countermodel ...
% 9.14/1.98 Prover 4: Found proof (size 27)
% 9.14/1.98 Prover 4: proved (1325ms)
% 9.14/1.98 Prover 7: stopped
% 9.14/1.98 Prover 10: stopped
% 9.14/1.98 Prover 13: stopped
% 9.14/1.98 Prover 1: stopped
% 9.14/2.00 Prover 8: Warning: ignoring some quantifiers
% 9.14/2.02 Prover 8: Constructing countermodel ...
% 9.14/2.03 Prover 8: stopped
% 9.51/2.05 Prover 11: Constructing countermodel ...
% 9.51/2.06 Prover 11: stopped
% 9.51/2.06
% 9.51/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.51/2.06
% 9.51/2.07 % SZS output start Proof for theBenchmark
% 9.51/2.07 Assumptions after simplification:
% 9.51/2.07 ---------------------------------
% 9.51/2.07
% 9.51/2.07 (just1)
% 9.51/2.10 $i(s_terroristthathasbeenamemberofaterroristorganization) &
% 9.51/2.10 $i(c_terroristgroup) & $i(c_hasmembers) & $i(c_terrorist) & $i(c_englishmt) &
% 9.51/2.10 ? [v0: any] : ? [v1: $i] : ? [v2: any] : (mtvisible(c_englishmt) = v0 &
% 9.51/2.10 f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.10 c_terroristgroup) = v1 & prettystring(v1,
% 9.51/2.10 s_terroristthathasbeenamemberofaterroristorganization) = v2 & $i(v1) & ( ~
% 9.51/2.10 (v0 = 0) | v2 = 0))
% 9.51/2.10
% 9.51/2.10 (just37)
% 9.51/2.10 $i(c_terroristgroup) & $i(c_hasmembers) & $i(c_terrorist) & ? [v0: $i] :
% 9.51/2.10 (f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.10 c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 |
% 9.51/2.10 ~
% 9.51/2.10 (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.10 = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) = v3)) &
% 9.51/2.10 ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) |
% 9.51/2.10 subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.10 = 0))
% 9.51/2.10
% 9.51/2.10 (just38)
% 9.51/2.11 $i(c_terroristgroup) & $i(c_hasmembers) & $i(c_terrorist) & ? [v0: $i] :
% 9.51/2.11 (f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.11 c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 |
% 9.51/2.11 ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) &
% 9.51/2.11 subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.11 = v3)) & ! [v1: $i] : ( ~
% 9.51/2.11 (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.11 = 0) | ~ $i(v1) | isa(v1, v0) = 0))
% 9.51/2.11
% 9.51/2.11 (query58)
% 9.51/2.11 $i(c_terroristgroup) & $i(c_hasmembers) & $i(c_terrorist) & $i(c_englishmt) &
% 9.51/2.11 ? [v0: $i] : (mtvisible(c_englishmt) = 0 &
% 9.51/2.11 f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.11 c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : ( ~ (prettystring(v0, v1)
% 9.51/2.11 = 0) | ~ $i(v1)))
% 9.51/2.11
% 9.51/2.11 (function-axioms)
% 9.51/2.12 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 9.51/2.12 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~
% 9.51/2.12 (natargument(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 9.51/2.12 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 9.51/2.12 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~
% 9.51/2.12 (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 9.51/2.12 : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) &
% 9.51/2.12 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 9.51/2.12 $i] : (v1 = v0 | ~ (hasmembers(v3, v2) = v1) | ~ (hasmembers(v3, v2) =
% 9.51/2.12 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 9.51/2.12 $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) =
% 9.51/2.12 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 9.51/2.12 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~
% 9.51/2.12 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.51/2.12 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 9.51/2.12 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 9.51/2.12 : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0))
% 9.51/2.12 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 9.51/2.12 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 9.51/2.12 : (v1 = v0 | ~ (prettystring(v3, v2) = v1) | ~ (prettystring(v3, v2) = v0))
% 9.51/2.12 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1
% 9.51/2.12 = v0 | ~ (controlcharacterfreestring(v2) = v1) | ~
% 9.51/2.12 (controlcharacterfreestring(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 9.51/2.12 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 9.51/2.12 (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v2)
% 9.51/2.12 = v1) | ~
% 9.51/2.12 (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v2)
% 9.51/2.12 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 9.51/2.12 $i] : (v1 = v0 | ~ (terrorist(v2) = v1) | ~ (terrorist(v2) = v0)) & !
% 9.51/2.12 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 9.51/2.12 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 9.51/2.12 ~ (agent_generic(v2) = v1) | ~ (agent_generic(v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 9.51/2.12 ~ (terroristgroup(v2) = v1) | ~ (terroristgroup(v2) = v0)) & ! [v0:
% 9.51/2.12 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 9.51/2.12 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 9.51/2.12 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) |
% 9.51/2.12 ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.51/2.12 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 9.51/2.12 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.51/2.12 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 9.51/2.12 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.51/2.12 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 9.51/2.12 (mtvisible(v2) = v0))
% 9.51/2.12
% 9.51/2.12 Further assumptions not needed in the proof:
% 9.51/2.12 --------------------------------------------
% 9.51/2.12 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19,
% 9.51/2.12 just2, just20, just21, just22, just23, just24, just25, just26, just27, just28,
% 9.51/2.12 just29, just3, just30, just31, just32, just33, just34, just35, just36, just39,
% 9.51/2.12 just4, just40, just5, just6, just7, just8, just9
% 9.51/2.12
% 9.51/2.12 Those formulas are unsatisfiable:
% 9.51/2.12 ---------------------------------
% 9.51/2.12
% 9.51/2.12 Begin of proof
% 9.51/2.12 |
% 9.51/2.13 | ALPHA: (just1) implies:
% 9.51/2.13 | (1) $i(s_terroristthathasbeenamemberofaterroristorganization)
% 9.51/2.13 | (2) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (mtvisible(c_englishmt) =
% 9.51/2.13 | v0 & f_subcollectionofwithrelationfromtypefn(c_terrorist,
% 9.51/2.13 | c_hasmembers, c_terroristgroup) = v1 & prettystring(v1,
% 9.51/2.13 | s_terroristthathasbeenamemberofaterroristorganization) = v2 &
% 9.51/2.13 | $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 9.51/2.13 |
% 9.51/2.13 | ALPHA: (just37) implies:
% 9.51/2.13 | (3) ? [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_terrorist,
% 9.51/2.13 | c_hasmembers, c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : !
% 9.51/2.13 | [v2: int] : (v2 = 0 | ~
% 9.51/2.13 | (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.13 | = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & isa(v1, v0) =
% 9.51/2.13 | v3)) & ! [v1: $i] : ( ~ (isa(v1, v0) = 0) | ~ $i(v1) |
% 9.51/2.13 | subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.13 | = 0))
% 9.51/2.13 |
% 9.51/2.13 | ALPHA: (just38) implies:
% 9.51/2.13 | (4) ? [v0: $i] : (f_subcollectionofwithrelationfromtypefn(c_terrorist,
% 9.51/2.13 | c_hasmembers, c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : !
% 9.51/2.13 | [v2: int] : (v2 = 0 | ~ (isa(v1, v0) = v2) | ~ $i(v1) | ? [v3:
% 9.51/2.13 | int] : ( ~ (v3 = 0) &
% 9.51/2.13 | subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.13 | = v3)) & ! [v1: $i] : ( ~
% 9.51/2.13 | (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v1)
% 9.51/2.13 | = 0) | ~ $i(v1) | isa(v1, v0) = 0))
% 9.51/2.13 |
% 9.51/2.13 | ALPHA: (query58) implies:
% 9.51/2.13 | (5) ? [v0: $i] : (mtvisible(c_englishmt) = 0 &
% 9.51/2.13 | f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.13 | c_terroristgroup) = v0 & $i(v0) & ! [v1: $i] : ( ~
% 9.51/2.13 | (prettystring(v0, v1) = 0) | ~ $i(v1)))
% 9.51/2.13 |
% 9.51/2.13 | ALPHA: (function-axioms) implies:
% 9.51/2.13 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 9.51/2.13 | (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 9.51/2.13 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 9.51/2.13 | (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 9.51/2.13 | v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) =
% 9.51/2.13 | v0))
% 9.51/2.13 |
% 9.51/2.13 | DELTA: instantiating (5) with fresh symbol all_40_0 gives:
% 9.51/2.13 | (8) mtvisible(c_englishmt) = 0 &
% 9.51/2.13 | f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.13 | c_terroristgroup) = all_40_0 & $i(all_40_0) & ! [v0: $i] : ( ~
% 9.51/2.13 | (prettystring(all_40_0, v0) = 0) | ~ $i(v0))
% 9.51/2.13 |
% 9.51/2.13 | ALPHA: (8) implies:
% 9.51/2.14 | (9) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_40_0
% 9.51/2.14 | (10) mtvisible(c_englishmt) = 0
% 9.51/2.14 | (11) ! [v0: $i] : ( ~ (prettystring(all_40_0, v0) = 0) | ~ $i(v0))
% 9.51/2.14 |
% 9.51/2.14 | DELTA: instantiating (2) with fresh symbols all_43_0, all_43_1, all_43_2
% 9.51/2.14 | gives:
% 9.51/2.14 | (12) mtvisible(c_englishmt) = all_43_2 &
% 9.51/2.14 | f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_43_1 & prettystring(all_43_1,
% 9.51/2.14 | s_terroristthathasbeenamemberofaterroristorganization) = all_43_0 &
% 9.51/2.14 | $i(all_43_1) & ( ~ (all_43_2 = 0) | all_43_0 = 0)
% 9.51/2.14 |
% 9.51/2.14 | ALPHA: (12) implies:
% 9.51/2.14 | (13) prettystring(all_43_1,
% 9.51/2.14 | s_terroristthathasbeenamemberofaterroristorganization) = all_43_0
% 9.51/2.14 | (14) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_43_1
% 9.51/2.14 | (15) mtvisible(c_englishmt) = all_43_2
% 9.51/2.14 | (16) ~ (all_43_2 = 0) | all_43_0 = 0
% 9.51/2.14 |
% 9.51/2.14 | DELTA: instantiating (4) with fresh symbol all_45_0 gives:
% 9.51/2.14 | (17) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_45_0 & $i(all_45_0) & ! [v0: $i] : ! [v1:
% 9.51/2.14 | int] : (v1 = 0 | ~ (isa(v0, all_45_0) = v1) | ~ $i(v0) | ? [v2:
% 9.51/2.14 | int] : ( ~ (v2 = 0) &
% 9.51/2.14 | subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v0)
% 9.51/2.14 | = v2)) & ! [v0: $i] : ( ~
% 9.51/2.14 | (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v0)
% 9.51/2.14 | = 0) | ~ $i(v0) | isa(v0, all_45_0) = 0)
% 9.51/2.14 |
% 9.51/2.14 | ALPHA: (17) implies:
% 9.51/2.14 | (18) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_45_0
% 9.51/2.14 |
% 9.51/2.14 | DELTA: instantiating (3) with fresh symbol all_48_0 gives:
% 9.51/2.14 | (19) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_48_0 & $i(all_48_0) & ! [v0: $i] : ! [v1:
% 9.51/2.14 | int] : (v1 = 0 | ~
% 9.51/2.14 | (subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v0)
% 9.51/2.14 | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & isa(v0,
% 9.51/2.14 | all_48_0) = v2)) & ! [v0: $i] : ( ~ (isa(v0, all_48_0) = 0) |
% 9.51/2.14 | ~ $i(v0) |
% 9.51/2.14 | subcollectionofwithrelationfromtypefnterroristhasmembersterroristgroup(v0)
% 9.51/2.14 | = 0)
% 9.51/2.14 |
% 9.51/2.14 | ALPHA: (19) implies:
% 9.51/2.14 | (20) f_subcollectionofwithrelationfromtypefn(c_terrorist, c_hasmembers,
% 9.51/2.14 | c_terroristgroup) = all_48_0
% 9.51/2.14 |
% 9.51/2.14 | GROUND_INST: instantiating (7) with all_43_1, all_45_0, c_terroristgroup,
% 9.51/2.14 | c_hasmembers, c_terrorist, simplifying with (14), (18) gives:
% 9.51/2.14 | (21) all_45_0 = all_43_1
% 9.51/2.14 |
% 9.51/2.14 | GROUND_INST: instantiating (7) with all_45_0, all_48_0, c_terroristgroup,
% 9.51/2.14 | c_hasmembers, c_terrorist, simplifying with (18), (20) gives:
% 9.51/2.14 | (22) all_48_0 = all_45_0
% 9.51/2.14 |
% 9.51/2.14 | GROUND_INST: instantiating (7) with all_40_0, all_48_0, c_terroristgroup,
% 9.51/2.14 | c_hasmembers, c_terrorist, simplifying with (9), (20) gives:
% 9.51/2.14 | (23) all_48_0 = all_40_0
% 9.51/2.14 |
% 9.51/2.14 | GROUND_INST: instantiating (6) with 0, all_43_2, c_englishmt, simplifying with
% 9.51/2.14 | (10), (15) gives:
% 9.51/2.14 | (24) all_43_2 = 0
% 9.51/2.14 |
% 9.51/2.14 | COMBINE_EQS: (22), (23) imply:
% 9.51/2.14 | (25) all_45_0 = all_40_0
% 9.51/2.14 |
% 9.51/2.14 | SIMP: (25) implies:
% 9.51/2.14 | (26) all_45_0 = all_40_0
% 9.51/2.14 |
% 9.51/2.14 | COMBINE_EQS: (21), (26) imply:
% 9.51/2.14 | (27) all_43_1 = all_40_0
% 9.51/2.14 |
% 9.51/2.14 | REDUCE: (13), (27) imply:
% 9.51/2.14 | (28) prettystring(all_40_0,
% 9.51/2.14 | s_terroristthathasbeenamemberofaterroristorganization) = all_43_0
% 9.51/2.14 |
% 9.51/2.14 | BETA: splitting (16) gives:
% 9.51/2.15 |
% 9.51/2.15 | Case 1:
% 9.51/2.15 | |
% 9.51/2.15 | | (29) ~ (all_43_2 = 0)
% 9.51/2.15 | |
% 9.51/2.15 | | REDUCE: (24), (29) imply:
% 9.51/2.15 | | (30) $false
% 9.51/2.15 | |
% 9.51/2.15 | | CLOSE: (30) is inconsistent.
% 9.51/2.15 | |
% 9.51/2.15 | Case 2:
% 9.51/2.15 | |
% 9.51/2.15 | | (31) all_43_0 = 0
% 9.51/2.15 | |
% 9.51/2.15 | | REDUCE: (28), (31) imply:
% 9.51/2.15 | | (32) prettystring(all_40_0,
% 9.51/2.15 | | s_terroristthathasbeenamemberofaterroristorganization) = 0
% 9.51/2.15 | |
% 9.51/2.15 | | GROUND_INST: instantiating (11) with
% 9.51/2.15 | | s_terroristthathasbeenamemberofaterroristorganization,
% 9.51/2.15 | | simplifying with (1), (32) gives:
% 9.51/2.15 | | (33) $false
% 9.51/2.15 | |
% 9.51/2.15 | | CLOSE: (33) is inconsistent.
% 9.51/2.15 | |
% 9.51/2.15 | End of split
% 9.51/2.15 |
% 9.51/2.15 End of proof
% 9.51/2.15 % SZS output end Proof for theBenchmark
% 9.51/2.15
% 9.51/2.15 1517ms
%------------------------------------------------------------------------------