TSTP Solution File: KRS076+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n015.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 : Thu Aug 31 05:51:09 EDT 2023
% Result : Unsatisfiable 6.52s 1.62s
% Output : Proof 9.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n015.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 02:06:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.84/1.09 Prover 4: Preprocessing ...
% 2.84/1.09 Prover 1: Preprocessing ...
% 2.84/1.13 Prover 3: Preprocessing ...
% 2.84/1.13 Prover 5: Preprocessing ...
% 2.84/1.13 Prover 0: Preprocessing ...
% 2.84/1.13 Prover 2: Preprocessing ...
% 2.84/1.13 Prover 6: Preprocessing ...
% 4.96/1.39 Prover 5: Proving ...
% 4.96/1.40 Prover 2: Proving ...
% 4.96/1.53 Prover 3: Constructing countermodel ...
% 4.96/1.56 Prover 6: Proving ...
% 4.96/1.56 Prover 1: Constructing countermodel ...
% 6.52/1.62 Prover 5: proved (972ms)
% 6.52/1.62
% 6.52/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/1.62
% 6.52/1.62 Prover 2: proved (976ms)
% 6.52/1.62
% 6.52/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/1.62
% 6.52/1.62 Prover 3: gave up
% 6.52/1.62 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.52/1.62 Prover 6: stopped
% 6.52/1.62 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.52/1.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.52/1.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.69/1.64 Prover 4: Constructing countermodel ...
% 6.69/1.66 Prover 8: Preprocessing ...
% 6.69/1.67 Prover 1: gave up
% 6.69/1.67 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.69/1.67 Prover 7: Preprocessing ...
% 6.69/1.68 Prover 0: Proving ...
% 6.69/1.68 Prover 0: stopped
% 6.69/1.68 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 6.69/1.69 Prover 10: Preprocessing ...
% 6.69/1.69 Prover 11: Preprocessing ...
% 6.69/1.71 Prover 16: Preprocessing ...
% 7.40/1.73 Prover 13: Preprocessing ...
% 7.40/1.75 Prover 7: Warning: ignoring some quantifiers
% 7.40/1.76 Prover 7: Constructing countermodel ...
% 7.40/1.76 Prover 10: Warning: ignoring some quantifiers
% 7.40/1.78 Prover 10: Constructing countermodel ...
% 7.84/1.81 Prover 16: Warning: ignoring some quantifiers
% 7.84/1.81 Prover 16: Constructing countermodel ...
% 7.84/1.82 Prover 13: Warning: ignoring some quantifiers
% 7.84/1.83 Prover 13: Constructing countermodel ...
% 8.54/1.88 Prover 4: Found proof (size 25)
% 8.54/1.88 Prover 4: proved (1233ms)
% 8.54/1.88 Prover 13: stopped
% 8.54/1.88 Prover 10: Found proof (size 22)
% 8.54/1.88 Prover 10: proved (248ms)
% 8.54/1.88 Prover 16: stopped
% 8.54/1.89 Prover 7: Found proof (size 22)
% 8.54/1.89 Prover 7: proved (269ms)
% 8.54/1.89 Prover 8: Warning: ignoring some quantifiers
% 8.54/1.90 Prover 8: Constructing countermodel ...
% 8.54/1.91 Prover 8: stopped
% 8.74/1.93 Prover 11: Constructing countermodel ...
% 8.84/1.94 Prover 11: stopped
% 8.84/1.94
% 8.84/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.84/1.94
% 8.84/1.95 % SZS output start Proof for theBenchmark
% 8.84/1.95 Assumptions after simplification:
% 8.84/1.95 ---------------------------------
% 8.84/1.95
% 8.84/1.95 (axiom_10)
% 8.84/1.97 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rf1(v0, v1) = v2) |
% 8.84/1.97 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rs(v0, v1) = v3)) & !
% 8.84/1.97 [v0: $i] : ! [v1: $i] : ( ~ (rs(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 8.84/1.97 rf1(v0, v1) = 0)
% 8.84/1.97
% 8.84/1.97 (axiom_11)
% 8.84/1.98 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rf(v0, v1) = v2) | ~
% 8.84/1.98 $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rs(v0, v1) = v3)) & !
% 8.84/1.98 [v0: $i] : ! [v1: $i] : ( ~ (rs(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | rf(v0,
% 8.84/1.98 v1) = 0)
% 8.84/1.98
% 8.84/1.98 (axiom_2)
% 8.84/1.99 ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] : (v3 =
% 8.84/1.99 0 | v1 = 0 | ~ (rf(v0, v4) = 0) | ~ (cp(v2) = v3) | ~ (cUnsatisfiable(v0)
% 8.84/1.99 = v1) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] :
% 8.84/1.99 ? [v7: int] : ? [v8: int] : ($i(v6) & ((v7 = 0 & rinvF1(v2, v6) = 0 & !
% 8.84/1.99 [v9: $i] : ( ~ (rs(v6, v9) = 0) | ~ $i(v9) | ? [v10: int] : ( ~ (v10
% 8.84/1.99 = 0) & cowlThing(v9) = v10)) & ! [v9: $i] : ( ~ (cowlThing(v9)
% 8.84/1.99 = 0) | ~ $i(v9) | ? [v10: int] : ( ~ (v10 = 0) & rs(v6, v9) =
% 8.84/1.99 v10))) | ( ~ (v8 = 0) & cp(v4) = v8) | ( ~ (v5 = 0) & rf1(v0, v2)
% 8.84/1.99 = v5)))) & ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: int] :
% 8.84/1.99 ! [v4: $i] : (v3 = 0 | v1 = 0 | ~ (cp(v4) = 0) | ~ (cp(v2) = v3) | ~
% 8.84/1.99 (cUnsatisfiable(v0) = v1) | ~ $i(v4) | ~ $i(v2) | ~ $i(v0) | ? [v5: int]
% 8.84/1.99 : ? [v6: $i] : ? [v7: int] : ? [v8: int] : ($i(v6) & ((v7 = 0 &
% 8.84/1.99 rinvF1(v2, v6) = 0 & ! [v9: $i] : ( ~ (rs(v6, v9) = 0) | ~ $i(v9) |
% 8.84/1.99 ? [v10: int] : ( ~ (v10 = 0) & cowlThing(v9) = v10)) & ! [v9: $i] :
% 8.84/1.99 ( ~ (cowlThing(v9) = 0) | ~ $i(v9) | ? [v10: int] : ( ~ (v10 = 0) &
% 8.84/1.99 rs(v6, v9) = v10))) | ( ~ (v8 = 0) & rf(v0, v4) = v8) | ( ~ (v5 =
% 8.84/1.99 0) & rf1(v0, v2) = v5)))) & ! [v0: $i] : ! [v1: int] : ! [v2: $i]
% 8.84/1.99 : ! [v3: $i] : (v1 = 0 | ~ (rf1(v0, v2) = 0) | ~ (rf(v0, v3) = 0) | ~
% 8.84/1.99 (cUnsatisfiable(v0) = v1) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ? [v4: int]
% 8.84/1.99 : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v6 = 0 &
% 8.84/1.99 rinvF1(v2, v5) = 0 & ! [v8: $i] : ( ~ (rs(v5, v8) = 0) | ~ $i(v8) |
% 8.84/1.99 ? [v9: int] : ( ~ (v9 = 0) & cowlThing(v8) = v9)) & ! [v8: $i] : (
% 8.84/1.99 ~ (cowlThing(v8) = 0) | ~ $i(v8) | ? [v9: int] : ( ~ (v9 = 0) &
% 8.84/1.99 rs(v5, v8) = v9))) | (v4 = 0 & cp(v2) = 0) | ( ~ (v7 = 0) & cp(v3)
% 8.84/1.99 = v7)))) & ! [v0: $i] : ! [v1: int] : ! [v2: $i] : ! [v3: $i] :
% 8.84/1.99 (v1 = 0 | ~ (rf1(v0, v2) = 0) | ~ (cp(v3) = 0) | ~ (cUnsatisfiable(v0) =
% 8.84/1.99 v1) | ~ $i(v3) | ~ $i(v2) | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ?
% 8.84/1.99 [v6: int] : ? [v7: int] : ($i(v5) & ((v6 = 0 & rinvF1(v2, v5) = 0 & ! [v8:
% 8.84/1.99 $i] : ( ~ (rs(v5, v8) = 0) | ~ $i(v8) | ? [v9: int] : ( ~ (v9 = 0)
% 8.84/1.99 & cowlThing(v8) = v9)) & ! [v8: $i] : ( ~ (cowlThing(v8) = 0) |
% 8.84/1.99 ~ $i(v8) | ? [v9: int] : ( ~ (v9 = 0) & rs(v5, v8) = v9))) | (v4 =
% 8.84/1.99 0 & cp(v2) = 0) | ( ~ (v7 = 0) & rf(v0, v3) = v7)))) & ! [v0: $i] : (
% 8.84/1.99 ~ (cUnsatisfiable(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~
% 8.84/1.99 (v2 = 0) & rf1(v0, v1) = 0 & cp(v1) = v2 & $i(v1) & ! [v3: $i] : ( ~
% 8.84/1.99 (rinvF1(v1, v3) = 0) | ~ $i(v3) | ? [v4: $i] : (rs(v3, v4) = 0 &
% 8.84/1.99 cowlThing(v4) = 0 & $i(v4))))) & ! [v0: $i] : ( ~ (cUnsatisfiable(v0)
% 8.84/1.99 = 0) | ~ $i(v0) | ? [v1: $i] : (rf(v0, v1) = 0 & cp(v1) = 0 & $i(v1)))
% 8.84/1.99
% 8.84/1.99 (axiom_3)
% 8.84/2.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (rf(v0, v2) = 0) | ~
% 8.84/2.00 (rf(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 8.84/2.00
% 8.84/2.00 (axiom_4)
% 8.84/2.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (rf1(v0, v2) = 0) | ~
% 8.84/2.00 (rf1(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 8.84/2.00
% 8.84/2.00 (axiom_6)
% 8.84/2.00 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rinvF1(v0, v1) = v2)
% 8.84/2.00 | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rf1(v1, v0) = v3)) &
% 8.84/2.00 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rf1(v1, v0) = v2) |
% 8.84/2.00 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rinvF1(v0, v1) = v3)) &
% 8.84/2.00 ! [v0: $i] : ! [v1: $i] : ( ~ (rinvF1(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 8.84/2.00 rf1(v1, v0) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (rf1(v1, v0) = 0) | ~
% 8.84/2.00 $i(v1) | ~ $i(v0) | rinvF1(v0, v1) = 0)
% 8.84/2.00
% 8.84/2.00 (axiom_9)
% 8.84/2.00 cUnsatisfiable(i2003_11_14_17_19_06193) = 0 & $i(i2003_11_14_17_19_06193)
% 8.84/2.00
% 8.84/2.00 (function-axioms)
% 8.84/2.00 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 8.84/2.00 [v3: $i] : (v1 = v0 | ~ (rs(v3, v2) = v1) | ~ (rs(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 8.84/2.00 : (v1 = v0 | ~ (rinvS(v3, v2) = v1) | ~ (rinvS(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 8.84/2.00 : (v1 = v0 | ~ (rinvF1(v3, v2) = v1) | ~ (rinvF1(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 8.84/2.00 : (v1 = v0 | ~ (rinvF(v3, v2) = v1) | ~ (rinvF(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 8.84/2.00 : (v1 = v0 | ~ (rf1(v3, v2) = v1) | ~ (rf1(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 8.84/2.00 : (v1 = v0 | ~ (rf(v3, v2) = v1) | ~ (rf(v3, v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 8.84/2.00 ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 8.84/2.00 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0:
% 8.84/2.00 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 8.84/2.00 ~ (cp(v2) = v1) | ~ (cp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 8.84/2.00 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~
% 8.84/2.00 (cowlThing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 8.84/2.00 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~
% 8.84/2.00 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 8.84/2.00 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cUnsatisfiable(v2) = v1) |
% 8.84/2.00 ~ (cUnsatisfiable(v2) = v0))
% 8.84/2.00
% 8.84/2.00 Further assumptions not needed in the proof:
% 8.84/2.00 --------------------------------------------
% 8.84/2.01 axiom_0, axiom_1, axiom_5, axiom_7, axiom_8, cUnsatisfiable_substitution_1,
% 8.84/2.01 cowlNothing_substitution_1, cowlThing_substitution_1, cp_substitution_1,
% 8.84/2.01 rf1_substitution_1, rf1_substitution_2, rf_substitution_1, rf_substitution_2,
% 8.84/2.01 rinvF1_substitution_1, rinvF1_substitution_2, rinvF_substitution_1,
% 8.84/2.01 rinvF_substitution_2, rinvS_substitution_1, rinvS_substitution_2,
% 8.84/2.01 rs_substitution_1, rs_substitution_2, xsd_integer_substitution_1,
% 8.84/2.01 xsd_string_substitution_1
% 8.84/2.01
% 8.84/2.01 Those formulas are unsatisfiable:
% 8.84/2.01 ---------------------------------
% 8.84/2.01
% 8.84/2.01 Begin of proof
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (axiom_2) implies:
% 8.84/2.01 | (1) ! [v0: $i] : ( ~ (cUnsatisfiable(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 8.84/2.01 | (rf(v0, v1) = 0 & cp(v1) = 0 & $i(v1)))
% 8.84/2.01 | (2) ! [v0: $i] : ( ~ (cUnsatisfiable(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 8.84/2.01 | ? [v2: int] : ( ~ (v2 = 0) & rf1(v0, v1) = 0 & cp(v1) = v2 & $i(v1) &
% 8.84/2.01 | ! [v3: $i] : ( ~ (rinvF1(v1, v3) = 0) | ~ $i(v3) | ? [v4: $i] :
% 8.84/2.01 | (rs(v3, v4) = 0 & cowlThing(v4) = 0 & $i(v4)))))
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (axiom_6) implies:
% 8.84/2.01 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (rf1(v1, v0) = 0) | ~ $i(v1) | ~
% 8.84/2.01 | $i(v0) | rinvF1(v0, v1) = 0)
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (axiom_9) implies:
% 8.84/2.01 | (4) $i(i2003_11_14_17_19_06193)
% 8.84/2.01 | (5) cUnsatisfiable(i2003_11_14_17_19_06193) = 0
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (axiom_10) implies:
% 8.84/2.01 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (rs(v0, v1) = 0) | ~ $i(v1) | ~
% 8.84/2.01 | $i(v0) | rf1(v0, v1) = 0)
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (axiom_11) implies:
% 8.84/2.01 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (rs(v0, v1) = 0) | ~ $i(v1) | ~
% 8.84/2.01 | $i(v0) | rf(v0, v1) = 0)
% 8.84/2.01 |
% 8.84/2.01 | ALPHA: (function-axioms) implies:
% 8.84/2.01 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 8.84/2.01 | (v1 = v0 | ~ (cp(v2) = v1) | ~ (cp(v2) = v0))
% 8.84/2.01 |
% 8.84/2.02 | GROUND_INST: instantiating (2) with i2003_11_14_17_19_06193, simplifying with
% 8.84/2.02 | (4), (5) gives:
% 8.84/2.02 | (9) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 8.84/2.02 | rf1(i2003_11_14_17_19_06193, v0) = 0 & cp(v0) = v1 & $i(v0) & ! [v2:
% 8.84/2.02 | $i] : ( ~ (rinvF1(v0, v2) = 0) | ~ $i(v2) | ? [v3: $i] : (rs(v2,
% 8.84/2.02 | v3) = 0 & cowlThing(v3) = 0 & $i(v3))))
% 8.84/2.02 |
% 8.84/2.02 | GROUND_INST: instantiating (1) with i2003_11_14_17_19_06193, simplifying with
% 8.84/2.02 | (4), (5) gives:
% 9.28/2.02 | (10) ? [v0: $i] : (rf(i2003_11_14_17_19_06193, v0) = 0 & cp(v0) = 0 &
% 9.28/2.02 | $i(v0))
% 9.28/2.02 |
% 9.28/2.02 | DELTA: instantiating (10) with fresh symbol all_20_0 gives:
% 9.28/2.02 | (11) rf(i2003_11_14_17_19_06193, all_20_0) = 0 & cp(all_20_0) = 0 &
% 9.28/2.02 | $i(all_20_0)
% 9.28/2.02 |
% 9.28/2.02 | ALPHA: (11) implies:
% 9.28/2.02 | (12) $i(all_20_0)
% 9.28/2.02 | (13) cp(all_20_0) = 0
% 9.28/2.02 | (14) rf(i2003_11_14_17_19_06193, all_20_0) = 0
% 9.28/2.02 |
% 9.28/2.02 | DELTA: instantiating (9) with fresh symbols all_22_0, all_22_1 gives:
% 9.28/2.02 | (15) ~ (all_22_0 = 0) & rf1(i2003_11_14_17_19_06193, all_22_1) = 0 &
% 9.28/2.02 | cp(all_22_1) = all_22_0 & $i(all_22_1) & ! [v0: $i] : ( ~
% 9.28/2.02 | (rinvF1(all_22_1, v0) = 0) | ~ $i(v0) | ? [v1: $i] : (rs(v0, v1) =
% 9.28/2.02 | 0 & cowlThing(v1) = 0 & $i(v1)))
% 9.28/2.02 |
% 9.28/2.02 | ALPHA: (15) implies:
% 9.28/2.02 | (16) ~ (all_22_0 = 0)
% 9.28/2.02 | (17) $i(all_22_1)
% 9.28/2.02 | (18) cp(all_22_1) = all_22_0
% 9.28/2.02 | (19) rf1(i2003_11_14_17_19_06193, all_22_1) = 0
% 9.28/2.02 | (20) ! [v0: $i] : ( ~ (rinvF1(all_22_1, v0) = 0) | ~ $i(v0) | ? [v1: $i]
% 9.28/2.02 | : (rs(v0, v1) = 0 & cowlThing(v1) = 0 & $i(v1)))
% 9.28/2.02 |
% 9.28/2.02 | GROUND_INST: instantiating (3) with all_22_1, i2003_11_14_17_19_06193,
% 9.28/2.02 | simplifying with (4), (17), (19) gives:
% 9.28/2.02 | (21) rinvF1(all_22_1, i2003_11_14_17_19_06193) = 0
% 9.28/2.02 |
% 9.28/2.02 | GROUND_INST: instantiating (20) with i2003_11_14_17_19_06193, simplifying with
% 9.28/2.02 | (4), (21) gives:
% 9.28/2.02 | (22) ? [v0: $i] : (rs(i2003_11_14_17_19_06193, v0) = 0 & cowlThing(v0) = 0
% 9.28/2.02 | & $i(v0))
% 9.28/2.02 |
% 9.28/2.02 | DELTA: instantiating (22) with fresh symbol all_36_0 gives:
% 9.28/2.02 | (23) rs(i2003_11_14_17_19_06193, all_36_0) = 0 & cowlThing(all_36_0) = 0 &
% 9.28/2.02 | $i(all_36_0)
% 9.28/2.02 |
% 9.28/2.02 | ALPHA: (23) implies:
% 9.28/2.02 | (24) $i(all_36_0)
% 9.28/2.02 | (25) rs(i2003_11_14_17_19_06193, all_36_0) = 0
% 9.28/2.02 |
% 9.28/2.02 | GROUND_INST: instantiating (6) with i2003_11_14_17_19_06193, all_36_0,
% 9.28/2.02 | simplifying with (4), (24), (25) gives:
% 9.28/2.02 | (26) rf1(i2003_11_14_17_19_06193, all_36_0) = 0
% 9.28/2.02 |
% 9.28/2.03 | GROUND_INST: instantiating (7) with i2003_11_14_17_19_06193, all_36_0,
% 9.28/2.03 | simplifying with (4), (24), (25) gives:
% 9.28/2.03 | (27) rf(i2003_11_14_17_19_06193, all_36_0) = 0
% 9.28/2.03 |
% 9.28/2.03 | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_19_06193, all_20_0,
% 9.28/2.03 | all_36_0, simplifying with (4), (12), (14), (24), (27) gives:
% 9.28/2.03 | (28) all_36_0 = all_20_0
% 9.28/2.03 |
% 9.28/2.03 | GROUND_INST: instantiating (axiom_4) with i2003_11_14_17_19_06193, all_22_1,
% 9.28/2.03 | all_36_0, simplifying with (4), (17), (19), (24), (26) gives:
% 9.28/2.03 | (29) all_36_0 = all_22_1
% 9.28/2.03 |
% 9.28/2.03 | COMBINE_EQS: (28), (29) imply:
% 9.28/2.03 | (30) all_22_1 = all_20_0
% 9.28/2.03 |
% 9.28/2.03 | REDUCE: (18), (30) imply:
% 9.28/2.03 | (31) cp(all_20_0) = all_22_0
% 9.28/2.03 |
% 9.28/2.03 | GROUND_INST: instantiating (8) with 0, all_22_0, all_20_0, simplifying with
% 9.28/2.03 | (13), (31) gives:
% 9.28/2.03 | (32) all_22_0 = 0
% 9.28/2.03 |
% 9.28/2.03 | REDUCE: (16), (32) imply:
% 9.28/2.03 | (33) $false
% 9.28/2.03 |
% 9.28/2.03 | CLOSE: (33) is inconsistent.
% 9.28/2.03 |
% 9.28/2.03 End of proof
% 9.28/2.03 % SZS output end Proof for theBenchmark
% 9.28/2.03
% 9.28/2.03 1410ms
%------------------------------------------------------------------------------