TSTP Solution File: CSR066+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR066+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 : n028.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 21:37:06 EDT 2023
% Result : Theorem 10.91s 2.33s
% Output : Proof 13.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR066+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 08:20:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.89/1.14 Prover 1: Preprocessing ...
% 2.89/1.14 Prover 4: Preprocessing ...
% 3.39/1.18 Prover 3: Preprocessing ...
% 3.39/1.18 Prover 2: Preprocessing ...
% 3.39/1.18 Prover 0: Preprocessing ...
% 3.39/1.18 Prover 5: Preprocessing ...
% 3.39/1.18 Prover 6: Preprocessing ...
% 6.42/1.68 Prover 5: Proving ...
% 7.07/1.69 Prover 2: Proving ...
% 7.07/1.71 Prover 6: Proving ...
% 7.07/1.76 Prover 3: Warning: ignoring some quantifiers
% 7.70/1.79 Prover 3: Constructing countermodel ...
% 7.70/1.80 Prover 1: Warning: ignoring some quantifiers
% 7.91/1.84 Prover 1: Constructing countermodel ...
% 7.91/1.91 Prover 4: Constructing countermodel ...
% 7.91/1.91 Prover 0: Proving ...
% 9.89/2.08 Prover 3: gave up
% 9.92/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.05/2.15 Prover 7: Preprocessing ...
% 10.05/2.17 Prover 1: gave up
% 10.05/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.05/2.22 Prover 8: Preprocessing ...
% 10.05/2.23 Prover 7: Constructing countermodel ...
% 10.91/2.33 Prover 2: proved (1695ms)
% 10.91/2.33
% 10.91/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.91/2.33
% 10.91/2.33 Prover 6: stopped
% 10.91/2.33 Prover 5: stopped
% 10.91/2.33 Prover 0: stopped
% 10.91/2.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.91/2.33 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.91/2.33 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 10.91/2.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.01/2.40 Prover 13: Preprocessing ...
% 12.01/2.41 Prover 16: Preprocessing ...
% 12.01/2.41 Prover 8: Warning: ignoring some quantifiers
% 12.01/2.43 Prover 10: Preprocessing ...
% 12.01/2.44 Prover 11: Preprocessing ...
% 12.01/2.44 Prover 8: Constructing countermodel ...
% 12.89/2.48 Prover 4: Found proof (size 35)
% 12.89/2.48 Prover 4: proved (1848ms)
% 12.89/2.48 Prover 7: stopped
% 12.89/2.49 Prover 11: stopped
% 12.89/2.50 Prover 16: Warning: ignoring some quantifiers
% 12.89/2.50 Prover 8: stopped
% 12.89/2.51 Prover 13: Warning: ignoring some quantifiers
% 12.89/2.51 Prover 16: Constructing countermodel ...
% 12.89/2.52 Prover 13: Constructing countermodel ...
% 12.89/2.52 Prover 10: Constructing countermodel ...
% 12.89/2.52 Prover 16: stopped
% 13.20/2.53 Prover 13: stopped
% 13.20/2.53 Prover 10: stopped
% 13.20/2.53
% 13.20/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.20/2.53
% 13.20/2.54 % SZS output start Proof for theBenchmark
% 13.28/2.54 Assumptions after simplification:
% 13.28/2.54 ---------------------------------
% 13.28/2.54
% 13.28/2.54 (just10)
% 13.28/2.57 relationexistsall(c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = 0
% 13.28/2.57 & $i(c_shavingrazor_manual) & $i(c_tptpcol_16_25972) & $i(c_tptp_8_271)
% 13.28/2.57
% 13.28/2.57 (just11)
% 13.28/2.57 shavingrazor_manual(c_theprototypicalshavingrazor_manual) = 0 &
% 13.28/2.57 $i(c_theprototypicalshavingrazor_manual)
% 13.28/2.57
% 13.28/2.57 (just31)
% 13.28/2.57 $i(c_shavingrazor_manual) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 13.28/2.57 c_shavingrazor_manual) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 13.28/2.57 shavingrazor_manual(v0) = v2)) & ! [v0: $i] : ( ~
% 13.28/2.57 (shavingrazor_manual(v0) = 0) | ~ $i(v0) | isa(v0, c_shavingrazor_manual) =
% 13.28/2.57 0)
% 13.28/2.57
% 13.28/2.57 (just32)
% 13.28/2.57 $i(c_tptpcol_16_25972) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 13.28/2.57 (tptpcol_16_25972(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 13.28/2.57 isa(v0, c_tptpcol_16_25972) = v2)) & ! [v0: $i] : ( ~ (isa(v0,
% 13.28/2.57 c_tptpcol_16_25972) = 0) | ~ $i(v0) | tptpcol_16_25972(v0) = 0)
% 13.28/2.57
% 13.28/2.57 (just33)
% 13.28/2.57 $i(c_tptpcol_16_25972) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0,
% 13.28/2.57 c_tptpcol_16_25972) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 13.28/2.57 tptpcol_16_25972(v0) = v2)) & ! [v0: $i] : ( ~ (tptpcol_16_25972(v0) = 0)
% 13.28/2.57 | ~ $i(v0) | isa(v0, c_tptpcol_16_25972) = 0)
% 13.28/2.57
% 13.28/2.57 (just4)
% 13.28/2.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 13.28/2.58 (f_relationexistsallfn(v0, v2, v3, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 13.28/2.58 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 13.28/2.58 (relationexistsall(v2, v3, v1) = v6 & isa(v4, v3) = v7 & isa(v0, v1) = v5 &
% 13.28/2.58 ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0)))
% 13.28/2.58
% 13.28/2.58 (just9)
% 13.28/2.58 $i(c_shavingrazor_manual) & $i(c_tptpcol_16_25972) & $i(c_tptp_8_271) & !
% 13.28/2.58 [v0: $i] : ! [v1: $i] : ( ~ (f_relationexistsallfn(v0, c_tptp_8_271,
% 13.28/2.58 c_tptpcol_16_25972, c_shavingrazor_manual) = v1) | ~ $i(v0) | ? [v2:
% 13.28/2.58 any] : ? [v3: any] : (shavingrazor_manual(v0) = v2 & tptp_8_271(v1, v0) =
% 13.28/2.58 v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: $i] : ( ~ (shavingrazor_manual(v0)
% 13.28/2.58 = 0) | ~ $i(v0) | ? [v1: $i] : (tptp_8_271(v1, v0) = 0 &
% 13.28/2.58 f_relationexistsallfn(v0, c_tptp_8_271, c_tptpcol_16_25972,
% 13.28/2.58 c_shavingrazor_manual) = v1 & $i(v1)))
% 13.28/2.58
% 13.28/2.58 (query66)
% 13.28/2.58 $i(c_theprototypicalshavingrazor_manual) & $i(c_translation_21) &
% 13.28/2.58 $i(s_http_webnjiteducjohnsontreebiochhtm) & ? [v0: $i] : ? [v1: $i] : ?
% 13.28/2.58 [v2: $i] : (mtvisible(v2) = 0 & f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)
% 13.28/2.58 = v0 & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1,
% 13.28/2.58 c_translation_21) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ( ~
% 13.28/2.58 (tptpcol_16_25972(v3) = 0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 13.28/2.58 tptp_8_271(v3, c_theprototypicalshavingrazor_manual) = v4)) & ! [v3:
% 13.28/2.58 $i] : ( ~ (tptp_8_271(v3, c_theprototypicalshavingrazor_manual) = 0) | ~
% 13.28/2.58 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & tptpcol_16_25972(v3) = v4)))
% 13.28/2.58
% 13.28/2.58 (function-axioms)
% 13.28/2.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 13.28/2.59 $i] : (v1 = v0 | ~ (f_relationexistsallfn(v5, v4, v3, v2) = v1) | ~
% 13.28/2.59 (f_relationexistsallfn(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 13.28/2.59 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 =
% 13.28/2.59 v0 | ~ (natargument(v4, v3, v2) = v1) | ~ (natargument(v4, v3, v2) = v0))
% 13.28/2.59 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 13.28/2.59 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationexistsall(v4, v3, v2) = v1) |
% 13.28/2.59 ~ (relationexistsall(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.28/2.59 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.28/2.59 (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.28/2.59 : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.28/2.59 : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0)) & !
% 13.28/2.59 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 13.28/2.59 $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) =
% 13.28/2.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.28/2.59 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~
% 13.28/2.59 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.28/2.59 (tptp_8_271(v3, v2) = v1) | ~ (tptp_8_271(v3, v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 13.28/2.59 : (v1 = v0 | ~ (resultisaarg(v3, v2) = v1) | ~ (resultisaarg(v3, v2) = v0))
% 13.28/2.59 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 13.28/2.59 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 13.28/2.59 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.28/2.59 (f_contentmtofcdafromeventfn(v3, v2) = v1) | ~
% 13.28/2.59 (f_contentmtofcdafromeventfn(v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 13.28/2.59 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 13.28/2.59 (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.28/2.59 ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.28/2.59 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 13.28/2.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 13.28/2.59 ~ (computerdataartifact(v2) = v1) | ~ (computerdataartifact(v2) = v0)) & !
% 13.28/2.59 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 13.28/2.59 | ~ (uniformresourcelocator(v2) = v1) | ~ (uniformresourcelocator(v2) =
% 13.28/2.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 13.28/2.59 $i] : (v1 = v0 | ~ (function_denotational(v2) = v1) | ~
% 13.28/2.59 (function_denotational(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (positiveinteger(v2) = v1)
% 13.28/2.59 | ~ (positiveinteger(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~
% 13.28/2.59 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 13.28/2.59 : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_5_24579(v2) = v1) | ~
% 13.28/2.59 (tptpcol_5_24579(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (razor(v2) = v1) | ~
% 13.28/2.59 (razor(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 13.28/2.59 : ! [v2: $i] : (v1 = v0 | ~ (tptpcol_16_25972(v2) = v1) | ~
% 13.28/2.59 (tptpcol_16_25972(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 13.28/2.59 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 13.28/2.59 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.60 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 13.28/2.60 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 13.28/2.60 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (shavingrazor_manual(v2) =
% 13.28/2.60 v1) | ~ (shavingrazor_manual(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 13.28/2.60 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 13.28/2.60 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 13.28/2.60 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 13.28/2.60 (f_urlfn(v2) = v1) | ~ (f_urlfn(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 13.28/2.60 [v2: $i] : (v1 = v0 | ~ (f_urlreferentfn(v2) = v1) | ~ (f_urlreferentfn(v2)
% 13.28/2.60 = v0))
% 13.28/2.60
% 13.28/2.60 Further assumptions not needed in the proof:
% 13.28/2.60 --------------------------------------------
% 13.28/2.60 just1, just12, just13, just14, just15, just16, just17, just18, just19, just2,
% 13.28/2.60 just20, just21, just22, just23, just24, just25, just26, just27, just28, just29,
% 13.28/2.60 just3, just30, just34, just35, just36, just37, just38, just39, just40, just41,
% 13.28/2.60 just42, just43, just44, just45, just46, just47, just48, just49, just5, just50,
% 13.28/2.60 just51, just52, just53, just54, just55, just56, just57, just58, just59, just6,
% 13.28/2.60 just60, just61, just62, just63, just64, just65, just66, just67, just68, just69,
% 13.28/2.60 just7, just70, just71, just72, just73, just8
% 13.28/2.60
% 13.28/2.60 Those formulas are unsatisfiable:
% 13.28/2.60 ---------------------------------
% 13.28/2.60
% 13.28/2.60 Begin of proof
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just9) implies:
% 13.28/2.60 | (1) ! [v0: $i] : ( ~ (shavingrazor_manual(v0) = 0) | ~ $i(v0) | ? [v1:
% 13.28/2.60 | $i] : (tptp_8_271(v1, v0) = 0 & f_relationexistsallfn(v0,
% 13.28/2.60 | c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = v1 &
% 13.28/2.60 | $i(v1)))
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just10) implies:
% 13.28/2.60 | (2) $i(c_tptp_8_271)
% 13.28/2.60 | (3) relationexistsall(c_tptp_8_271, c_tptpcol_16_25972,
% 13.28/2.60 | c_shavingrazor_manual) = 0
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just11) implies:
% 13.28/2.60 | (4) shavingrazor_manual(c_theprototypicalshavingrazor_manual) = 0
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just31) implies:
% 13.28/2.60 | (5) $i(c_shavingrazor_manual)
% 13.28/2.60 | (6) ! [v0: $i] : ( ~ (shavingrazor_manual(v0) = 0) | ~ $i(v0) | isa(v0,
% 13.28/2.60 | c_shavingrazor_manual) = 0)
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just32) implies:
% 13.28/2.60 | (7) ! [v0: $i] : ( ~ (isa(v0, c_tptpcol_16_25972) = 0) | ~ $i(v0) |
% 13.28/2.60 | tptpcol_16_25972(v0) = 0)
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (just33) implies:
% 13.28/2.60 | (8) $i(c_tptpcol_16_25972)
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (query66) implies:
% 13.28/2.60 | (9) $i(c_theprototypicalshavingrazor_manual)
% 13.28/2.60 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (mtvisible(v2) = 0 &
% 13.28/2.60 | f_urlfn(s_http_webnjiteducjohnsontreebiochhtm) = v0 &
% 13.28/2.60 | f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1,
% 13.28/2.60 | c_translation_21) = v2 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] :
% 13.28/2.60 | ( ~ (tptpcol_16_25972(v3) = 0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4
% 13.28/2.60 | = 0) & tptp_8_271(v3, c_theprototypicalshavingrazor_manual) =
% 13.28/2.60 | v4)) & ! [v3: $i] : ( ~ (tptp_8_271(v3,
% 13.28/2.60 | c_theprototypicalshavingrazor_manual) = 0) | ~ $i(v3) | ?
% 13.28/2.60 | [v4: int] : ( ~ (v4 = 0) & tptpcol_16_25972(v3) = v4)))
% 13.28/2.60 |
% 13.28/2.60 | ALPHA: (function-axioms) implies:
% 13.28/2.61 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.28/2.61 | : (v1 = v0 | ~ (tptpcol_16_25972(v2) = v1) | ~ (tptpcol_16_25972(v2)
% 13.28/2.61 | = v0))
% 13.28/2.61 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.28/2.61 | : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) =
% 13.28/2.61 | v0))
% 13.28/2.61 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 13.28/2.61 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (relationexistsall(v4, v3,
% 13.28/2.61 | v2) = v1) | ~ (relationexistsall(v4, v3, v2) = v0))
% 13.28/2.61 |
% 13.28/2.61 | DELTA: instantiating (10) with fresh symbols all_68_0, all_68_1, all_68_2
% 13.28/2.61 | gives:
% 13.28/2.61 | (14) mtvisible(all_68_0) = 0 &
% 13.28/2.61 | f_urlfn(s_http_webnjiteducjohnsontreebiochhtm) = all_68_2 &
% 13.28/2.61 | f_urlreferentfn(all_68_2) = all_68_1 &
% 13.28/2.61 | f_contentmtofcdafromeventfn(all_68_1, c_translation_21) = all_68_0 &
% 13.28/2.61 | $i(all_68_0) & $i(all_68_1) & $i(all_68_2) & ! [v0: $i] : ( ~
% 13.28/2.61 | (tptpcol_16_25972(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0)
% 13.28/2.61 | & tptp_8_271(v0, c_theprototypicalshavingrazor_manual) = v1)) & !
% 13.28/2.61 | [v0: $i] : ( ~ (tptp_8_271(v0, c_theprototypicalshavingrazor_manual) =
% 13.28/2.61 | 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 13.28/2.61 | tptpcol_16_25972(v0) = v1))
% 13.28/2.61 |
% 13.28/2.61 | ALPHA: (14) implies:
% 13.28/2.61 | (15) ! [v0: $i] : ( ~ (tptp_8_271(v0,
% 13.28/2.61 | c_theprototypicalshavingrazor_manual) = 0) | ~ $i(v0) | ? [v1:
% 13.28/2.61 | int] : ( ~ (v1 = 0) & tptpcol_16_25972(v0) = v1))
% 13.28/2.61 |
% 13.28/2.61 | GROUND_INST: instantiating (6) with c_theprototypicalshavingrazor_manual,
% 13.28/2.61 | simplifying with (4), (9) gives:
% 13.28/2.61 | (16) isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual) = 0
% 13.28/2.61 |
% 13.28/2.61 | GROUND_INST: instantiating (1) with c_theprototypicalshavingrazor_manual,
% 13.28/2.61 | simplifying with (4), (9) gives:
% 13.28/2.61 | (17) ? [v0: $i] : (tptp_8_271(v0, c_theprototypicalshavingrazor_manual) =
% 13.28/2.61 | 0 & f_relationexistsallfn(c_theprototypicalshavingrazor_manual,
% 13.28/2.61 | c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = v0 &
% 13.28/2.61 | $i(v0))
% 13.28/2.61 |
% 13.28/2.61 | DELTA: instantiating (17) with fresh symbol all_89_0 gives:
% 13.64/2.61 | (18) tptp_8_271(all_89_0, c_theprototypicalshavingrazor_manual) = 0 &
% 13.64/2.61 | f_relationexistsallfn(c_theprototypicalshavingrazor_manual,
% 13.64/2.61 | c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = all_89_0
% 13.64/2.61 | & $i(all_89_0)
% 13.64/2.61 |
% 13.64/2.61 | ALPHA: (18) implies:
% 13.64/2.61 | (19) $i(all_89_0)
% 13.64/2.61 | (20) f_relationexistsallfn(c_theprototypicalshavingrazor_manual,
% 13.64/2.61 | c_tptp_8_271, c_tptpcol_16_25972, c_shavingrazor_manual) = all_89_0
% 13.64/2.61 | (21) tptp_8_271(all_89_0, c_theprototypicalshavingrazor_manual) = 0
% 13.64/2.61 |
% 13.64/2.61 | GROUND_INST: instantiating (just4) with c_theprototypicalshavingrazor_manual,
% 13.64/2.61 | c_shavingrazor_manual, c_tptp_8_271, c_tptpcol_16_25972,
% 13.64/2.61 | all_89_0, simplifying with (2), (5), (8), (9), (20) gives:
% 13.64/2.61 | (22) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 13.64/2.61 | (relationexistsall(c_tptp_8_271, c_tptpcol_16_25972,
% 13.64/2.61 | c_shavingrazor_manual) = v1 & isa(all_89_0, c_tptpcol_16_25972) =
% 13.64/2.61 | v2 & isa(c_theprototypicalshavingrazor_manual,
% 13.64/2.61 | c_shavingrazor_manual) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 =
% 13.64/2.61 | 0))
% 13.64/2.61 |
% 13.64/2.61 | GROUND_INST: instantiating (15) with all_89_0, simplifying with (19), (21)
% 13.64/2.62 | gives:
% 13.64/2.62 | (23) ? [v0: int] : ( ~ (v0 = 0) & tptpcol_16_25972(all_89_0) = v0)
% 13.64/2.62 |
% 13.64/2.62 | DELTA: instantiating (23) with fresh symbol all_121_0 gives:
% 13.64/2.62 | (24) ~ (all_121_0 = 0) & tptpcol_16_25972(all_89_0) = all_121_0
% 13.64/2.62 |
% 13.64/2.62 | ALPHA: (24) implies:
% 13.64/2.62 | (25) ~ (all_121_0 = 0)
% 13.64/2.62 | (26) tptpcol_16_25972(all_89_0) = all_121_0
% 13.64/2.62 |
% 13.64/2.62 | DELTA: instantiating (22) with fresh symbols all_127_0, all_127_1, all_127_2
% 13.64/2.62 | gives:
% 13.64/2.62 | (27) relationexistsall(c_tptp_8_271, c_tptpcol_16_25972,
% 13.64/2.62 | c_shavingrazor_manual) = all_127_1 & isa(all_89_0,
% 13.64/2.62 | c_tptpcol_16_25972) = all_127_0 &
% 13.64/2.62 | isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual) =
% 13.64/2.62 | all_127_2 & ( ~ (all_127_1 = 0) | ~ (all_127_2 = 0) | all_127_0 = 0)
% 13.64/2.62 |
% 13.64/2.62 | ALPHA: (27) implies:
% 13.64/2.62 | (28) isa(c_theprototypicalshavingrazor_manual, c_shavingrazor_manual) =
% 13.64/2.62 | all_127_2
% 13.64/2.62 | (29) isa(all_89_0, c_tptpcol_16_25972) = all_127_0
% 13.64/2.62 | (30) relationexistsall(c_tptp_8_271, c_tptpcol_16_25972,
% 13.64/2.62 | c_shavingrazor_manual) = all_127_1
% 13.64/2.62 | (31) ~ (all_127_1 = 0) | ~ (all_127_2 = 0) | all_127_0 = 0
% 13.64/2.62 |
% 13.64/2.62 | GROUND_INST: instantiating (12) with 0, all_127_2, c_shavingrazor_manual,
% 13.64/2.62 | c_theprototypicalshavingrazor_manual, simplifying with (16), (28)
% 13.64/2.62 | gives:
% 13.64/2.62 | (32) all_127_2 = 0
% 13.64/2.62 |
% 13.64/2.62 | GROUND_INST: instantiating (13) with 0, all_127_1, c_shavingrazor_manual,
% 13.64/2.62 | c_tptpcol_16_25972, c_tptp_8_271, simplifying with (3), (30)
% 13.64/2.62 | gives:
% 13.64/2.62 | (33) all_127_1 = 0
% 13.64/2.62 |
% 13.64/2.62 | BETA: splitting (31) gives:
% 13.64/2.62 |
% 13.64/2.62 | Case 1:
% 13.64/2.62 | |
% 13.64/2.62 | | (34) ~ (all_127_1 = 0)
% 13.64/2.62 | |
% 13.64/2.62 | | REDUCE: (33), (34) imply:
% 13.64/2.62 | | (35) $false
% 13.64/2.62 | |
% 13.64/2.62 | | CLOSE: (35) is inconsistent.
% 13.64/2.62 | |
% 13.64/2.62 | Case 2:
% 13.64/2.62 | |
% 13.64/2.62 | | (36) ~ (all_127_2 = 0) | all_127_0 = 0
% 13.64/2.62 | |
% 13.64/2.62 | | BETA: splitting (36) gives:
% 13.64/2.62 | |
% 13.64/2.62 | | Case 1:
% 13.64/2.62 | | |
% 13.64/2.62 | | | (37) ~ (all_127_2 = 0)
% 13.64/2.62 | | |
% 13.64/2.62 | | | REDUCE: (32), (37) imply:
% 13.64/2.62 | | | (38) $false
% 13.64/2.62 | | |
% 13.64/2.62 | | | CLOSE: (38) is inconsistent.
% 13.64/2.62 | | |
% 13.64/2.62 | | Case 2:
% 13.64/2.62 | | |
% 13.64/2.62 | | | (39) all_127_0 = 0
% 13.64/2.62 | | |
% 13.64/2.62 | | | REDUCE: (29), (39) imply:
% 13.64/2.62 | | | (40) isa(all_89_0, c_tptpcol_16_25972) = 0
% 13.64/2.62 | | |
% 13.64/2.62 | | | GROUND_INST: instantiating (7) with all_89_0, simplifying with (19), (40)
% 13.64/2.62 | | | gives:
% 13.64/2.62 | | | (41) tptpcol_16_25972(all_89_0) = 0
% 13.64/2.62 | | |
% 13.64/2.62 | | | GROUND_INST: instantiating (11) with all_121_0, 0, all_89_0, simplifying
% 13.64/2.62 | | | with (26), (41) gives:
% 13.64/2.62 | | | (42) all_121_0 = 0
% 13.64/2.62 | | |
% 13.64/2.62 | | | REDUCE: (25), (42) imply:
% 13.64/2.62 | | | (43) $false
% 13.64/2.62 | | |
% 13.64/2.62 | | | CLOSE: (43) is inconsistent.
% 13.64/2.62 | | |
% 13.64/2.62 | | End of split
% 13.64/2.62 | |
% 13.64/2.62 | End of split
% 13.64/2.62 |
% 13.64/2.62 End of proof
% 13.64/2.62 % SZS output end Proof for theBenchmark
% 13.64/2.62
% 13.64/2.62 2014ms
%------------------------------------------------------------------------------